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values | source_dataset stringclasses 2
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value | teacher_dtype stringclasses 1
value | generation_seconds float64 0.41 18.4 | generation dict |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
math:https://lexique.netmath.ca/en/proportion/ | math | HuggingFaceTB/finemath | finemath-4plus | {
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"warc_record_length": ... | # Proportion
## Proportion
Equality of two ratios.
### Terminology
• A proportion written as $$\dfrac {a} {b} =\dfrac {c} {d}$$, where a : b :: c : d is read as “a is to b as c is to d” and is written : ad = bc.
• The elements a and d are called extremes (or extreme terms) and the elements b and c are called the me... | } {c}$$ , the second term b is called a mean proportional.
The following operations can be carried out based on the proportion $$\dfrac {a} {b} =\dfrac {c} {d}$$ :
$$\dfrac{a + b}{b} | }{c}$$, the two middle terms are called the means.
• In a proportion with four terms $$\dfrac {a}{b} =\dfrac {c}{d}$$, the two middle terms are called the means.
• In a proportion with five terms $$\dfrac { | # Proportion
## Proportion
Equality of two ratios.
### Terminology
• A proportion written as $$\dfrac {a} {b} =\dfrac {c} {d}$$, where a : b :: c : d is read as “a is to b as c is to d” and is written : ad = bc.
• The elements a and d are called extremes (or extreme terms) and the elements b and c are called the me... | 128 | 64 | 64 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 15.8971 | {
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fineweb:<urn:uuid:39130836-81de-4f93-939a-5d049de98b6d> | fineweb | HuggingFaceFW/fineweb-edu | sample-10BT | {
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Targeted Radiation for Lung Cancer May Carry Risks
Latest Cancer News
WEDNESDAY, June 13 (HealthDay News) -- A woman with early-stage lung cancer died recently after highly targeted radiation therapy zapped not just her tumor, but surrounding tissue, fatally damaging her airway.
Though just a sin... | body-radiation therapy focuses beams of radiation on a tumor in the hopes of killing it. Because it uses highly precise beams that can focus large doses of radiation with millimeter accuracy, the technique is considered an advance over older types of radiation therapy, which are generally more diffuse, explained Dr. L... | body-radiation therapy (SBRT) is a form of radiation therapy that uses a small amount of radiation to treat a tumor. The radiation is delivered in a series of small, precise doses, each delivered in a very small area of the body.
The radiation is delivered using a special machine called a linear accelerator | From Our 2012 Archives
Targeted Radiation for Lung Cancer May Carry Risks
Latest Cancer News
WEDNESDAY, June 13 (HealthDay News) -- A woman with early-stage lung cancer died recently after highly targeted radiation therapy zapped not just her tumor, but surrounding tissue, fatally damaging her airway.
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math:https://ubraintv-jp.com/how-many-celsius-is-100-fahrenheit/ | math | HuggingFaceTB/finemath | finemath-4plus | {
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"war... | ## 100 F to C (100 levels Fahrenheit to Celsius) Conversion
Convert temperature systems of 100 F come C (Degrees Fahrenheit come Celsius) now! Converting degrees from imperial to Metric is simple with our basic to usage conversion calculator or keep reading to learn how to convert these systems yourself!100 levels Fah... | Celsius below.The basic equation to convert F to C is come subtract F by 32 and then divide by 1.8 (or 9/5). Alternately you can subtract F by 32 and then multiply by 5/9 to additionally get C.F to C calculation:Conversion factor: | Celsius with our simple calculator!
100 F = 37.778 C
## 100 F to C (Fahrenheit to Celsius) Conversion Table
Fahrenheit (F)Celsius (C)
100 F37.778 C
101 | ## 100 F to C (100 levels Fahrenheit to Celsius) Conversion
Convert temperature systems of 100 F come C (Degrees Fahrenheit come Celsius) now! Converting degrees from imperial to Metric is simple with our basic to usage conversion calculator or keep reading to learn how to convert these systems yourself!100 levels Fah... | 128 | 64 | 64 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 12.4302 | {
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math:http://plus.maths.org/content/os/issue43/features/serieswright/index | math | HuggingFaceTB/finemath | finemath-4plus | {
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"warc_record_of... | Non-Euclidean geometry and Indra's pearls
Issue 43
June 2007
Many people will have seen and been amazed by the beauty and intricacy of fractals like the one shown below. This particular fractal is known as the Apollonian gasket and consists of a complicated arrangement of tangent circles. [Click on the image to see t... | below. In contrast, figure 1b shows a tiling of the ordinary flat plane. In this article, which first appeared in the Proceedings of the Bridges conference held in London in 2006, we will explore the maths behind these tilings and how they give rise to beautiful fractal images.
| .
Figure 1a: A tiling of hyperbolic space
The tiling in figure 1a is called the | Non-Euclidean geometry and Indra's pearls
Issue 43
June 2007
Many people will have seen and been amazed by the beauty and intricacy of fractals like the one shown below. This particular fractal is known as the Apollonian gasket and consists of a complicated arrangement of tangent circles. [Click on the image to see t... | 128 | 64 | 27 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 5.7011 | {
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math:http://www.kwiznet.com/p/takeQuiz.php?ChapterID=1456&CurriculumID=5&Method=Worksheet&NQ=10&Num=2.18&Type=D | math | HuggingFaceTB/finemath | finemath-4plus | {
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"warc_filename": "crawl-data/CC-MAIN-2019-18/segments/1555578530040.33/warc/CC-MAIN-20190420200802-20190420222802-00221.warc... | Name: ___________________Date:___________________
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!
### Grade 5 - Mathematics2.18 Multiplying Decimals by 100
Example: Multiply 6.45 by 10 Since we have to multiply the number by 10 tens (i.e. 2 zeros after one), we shi... | ___
### Grade 5 - Mathematics2.18 Multiplying Decimals by 100
Q 1: 100 x 2.345 =234.52.345234523.45 Q 2: 10 | ___
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!
### Grade 5 - Mathematics2.19 Multiplying Decimals by 10
Example: Multiply 6.45 by 10 Since we have to | Name: ___________________Date:___________________
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!
### Grade 5 - Mathematics2.18 Multiplying Decimals by 100
Example: Multiply 6.45 by 10 Since we have to multiply the number by 10 tens (i.e. 2 zeros after one), we shi... | 128 | 64 | 64 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 12.1897 | {
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math:https://artofproblemsolving.com/wiki/index.php?title=2008_AMC_10A_Problems/Problem_18&diff=prev&oldid=155243 | math | HuggingFaceTB/finemath | finemath-4plus | {
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"warc_filename": "crawl-data/CC-MAIN-2023-40/segments/1695233506669.96/warc/CC-MAIN-20230924223409-20230925013409-00850.wa... | # Difference between revisions of "2008 AMC 10A Problems/Problem 18"
## Problem
A right triangle has perimeter $32$ and area $20$. What is the length of its hypotenuse?
$\mathrm{(A)}\ \frac{57}{4}\qquad\mathrm{(B)}\ \frac{59}{4}\qquad\mathrm{(C)}\ \frac{61}{4}\qquad\mathrm{(D)}\ \frac{63}{4}\qquad\mathrm{(E)}\ \frac... | 4}$
## Solution
### Solution 1
Let the legs of the triangle have lengths $a,b$. Then, by the Pythagorean Theorem, the length of the hypotenuse is $\sqrt{a^2+b^2}$, and the area of the triangle is $\frac 12 | 4}$
## Solution
Let the legs of the right triangle be $a$ and $b$, and the hypotenuse be $c$. Then, by the Pythagorean theorem, we have:
$$a^2 + b^2 = c^2$$
The perimeter of the triangle is given | # Difference between revisions of "2008 AMC 10A Problems/Problem 18"
## Problem
A right triangle has perimeter $32$ and area $20$. What is the length of its hypotenuse?
$\mathrm{(A)}\ \frac{57}{4}\qquad\mathrm{(B)}\ \frac{59}{4}\qquad\mathrm{(C)}\ \frac{61}{4}\qquad\mathrm{(D)}\ \frac{63}{4}\qquad\mathrm{(E)}\ \frac... | 128 | 64 | 64 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 12.2653 | {
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math:https://de.slideshare.net/PennyJiang/6-estimation-hypothesis-testing-t-test | math | HuggingFaceTB/finemath | finemath-4plus | {
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"warc_record_offset": 2... | # 6 estimation hypothesis testing t test
31. Oct 2018
1 von 96
### 6 estimation hypothesis testing t test
• 1. Quantitative Research Methods Lecture 6 1. Probability distribution 2. Sample distribution 3. Estimation 4. Hypothesis Testing 5. T-test
• 2. Inferential statistics Differences between groups Relationships ... | samples. In order to do inference, we require the skills and knowledge of descriptive statistics, probability distributions, and sampling distributions.
• 4. 1.Probability distribution… • … is a table, formula, or graph that describes the value of a random variable and the probability associate with these values.
| samples.
• 4. Review 2: Statistical Inference… Statistical inference is the process by which we acquire information and draw conclusions about populations from samples.
• 5. Review 2: Statistical Inference… Statistical inference is the process by which we acquire information and draw conclusions about populations from... | # 6 estimation hypothesis testing t test
31. Oct 2018
1 von 96
### 6 estimation hypothesis testing t test
• 1. Quantitative Research Methods Lecture 6 1. Probability distribution 2. Sample distribution 3. Estimation 4. Hypothesis Testing 5. T-test
• 2. Inferential statistics Differences between groups Relationships ... | 128 | 64 | 64 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 12.2167 | {
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math:https://math.stackexchange.com/questions/231742/proof-how-many-digits-does-a-number-have-lfloor-log-10-n-rfloor-1 | math | HuggingFaceTB/finemath | finemath-4plus | {
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"warc_filename": "crawl-data/CC-MAIN-2022-27/segments/1656103205617.12/warc/CC-MAIN-20220626101442-20220626131442-006... | # Proof: How many digits does a number have? $\lfloor \log_{10} n \rfloor +1$
I read recently that you can find the number of digits in a number through the formula $\lfloor \log_{10} n \rfloor +1$ What's the logic behind this rather what's the proof?
Suppose that $n$ has $d$ digits; then $10^{d-1}\le n<10^d$, becaus... | 0$: $\log_{10}10^k=k$, so the inequality becomes $d-1\le\log_{10}n<d$. If you now take the floor (= integer part) of $\log_{10}n$, throwing away everything to the right of the decimal point, you | 0$ of both sides:
$\log_{10}10^{d-1}\le \log_{10}n<\log_{10}10^d$
$\log_{10}10^{d-1}=\log_{10}10^{d | # Proof: How many digits does a number have? $\lfloor \log_{10} n \rfloor +1$
I read recently that you can find the number of digits in a number through the formula $\lfloor \log_{10} n \rfloor +1$ What's the logic behind this rather what's the proof?
Suppose that $n$ has $d$ digits; then $10^{d-1}\le n<10^d$, becaus... | 128 | 64 | 64 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 12.3503 | {
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fineweb:<urn:uuid:2b33b1c9-874c-4d0f-af98-a5da334d271f> | fineweb | HuggingFaceFW/fineweb-edu | sample-10BT | {
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If you've just come down with miserable flu symptoms, you may wonder when to call the doctor. Sooner is better than later in case your doctor thinks you would benefit from flu medications that may help shorten the duration of your illness.
What Are Common Flu Symptoms?
The first challe... | with flu. Call your doctor right away if:
- Your fever returns
- Your fever lasts for longer than 3 days
- You have difficulty breathing (Call 911 if you have any trouble breathing.)
- You cannot stop vomiting and can't keep liquids down
- You wheeze when you | .
What Are the Signs of a Flu Bacterial Infection?
If you have a flu-like illness and you develop a fever, cough, sore throat, or runny nose, call your doctor. These symptoms may indicate a secondary or bacterial infection.
What Are the Signs of a Flu Viral Infection? | When to Call the Doctor About Flu
If you've just come down with miserable flu symptoms, you may wonder when to call the doctor. Sooner is better than later in case your doctor thinks you would benefit from flu medications that may help shorten the duration of your illness.
What Are Common Flu Symptoms?
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Although thoroughly rewarding, running a half marathon is no easy feat. The body deserves respect for putting itself under intense stress as we pound the streets of Peterborough for a heart-thumping 13 miles, and ... | ’s when we start challenging our bodies in new ways that the risk of injury increases.
This is why it is very important to make gradual changes to your training.
Mileage – the general rule is to increase no more than 10% each week. Many injuries occur when the body is forced to go | is important to remember that you are not just a runner, but a triathlete.
The | Emma Cranfield, Senior Physiotherapist at Fitzwilliam Hospital, Peterborough and international triathlete,
Although thoroughly rewarding, running a half marathon is no easy feat. The body deserves respect for putting itself under intense stress as we pound the streets of Peterborough for a heart-thumping 13 miles, and ... | 128 | 64 | 19 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 3.6466 | {
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"The Foundation's ov... | organization behind Wikipedia—announced that it would be using the data to help improve the quality of the encyclopedia.
The Foundation is currently using the data to help improve the quality of the encyclopedia.
The Wikimedia Foundation is currently using the data to help improve the quality of the encyclopedia.
The ... | Remember that Wikipedia wormhole you fell down the other night? Maybe it started with you looking at a list of every single episode of Glee and somehow ended with reading the biographical entry on John Wayne Gacy. You might not remember, and you might not want anyone else to know about it. But your history might still ... | 128 | 64 | 64 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 12.3197 | {
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math:http://zahniser.net/science08/Unit%20Fractions.html | math | HuggingFaceTB/finemath | finemath-4plus | {
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"warc_record... | Unit Fractions
Friday 11/7/08
Do-Now: Figuring out the fractions
The length measures shown below were used in ancient Mesopotamia for thousands of years:
Based on that picture, fill in the following sentences with words:
1. A reed is a of a rod.
2. A pace is a of a reed.
3. A cubit is a... | it = pace
Unit fractions of a rod
Next, we will use the facts above to figure out what fraction of a rod a pace or cubit is.
1. Since a pace is a of a reed, which is a of a rod, a pace would | it = pace
Do-Now: Figuring out the fractions
The length measures shown below were used in ancient Mesopotamia for thousands of years:
Based on that picture, fill in the following sentences with words:
1. A reed is a of a rod.
2 | Unit Fractions
Friday 11/7/08
Do-Now: Figuring out the fractions
The length measures shown below were used in ancient Mesopotamia for thousands of years:
Based on that picture, fill in the following sentences with words:
1. A reed is a of a rod.
2. A pace is a of a reed.
3. A cubit is a... | 128 | 64 | 64 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 12.3572 | {
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"warc_record_l... | A Meter of Candy
• Lesson
3-5
3
In this series of 3 hands-on activities, students develop and reinforce their understanding of hundredths as fractions, decimals, and percentages. Students explore using candy pieces as they physically make and connect a set/linear model to area models.
Preparation
Prepare a sandwich... | /15/15) or leave the number of each color to chance. Try to find candies that are slightly less than 1 cm in diameter so that 100 candies fit well along the edge of a meter stick. If candies are larger than 1 cm, students will | /30).
Materials
• 1 candy bag of 100 candies
• 1 candy bag of 100 candies
• 1 candy bag of 100 candies
• 1 candy | A Meter of Candy
• Lesson
3-5
3
In this series of 3 hands-on activities, students develop and reinforce their understanding of hundredths as fractions, decimals, and percentages. Students explore using candy pieces as they physically make and connect a set/linear model to area models.
Preparation
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Home / Browse / Time Period / World War II through the Faubus Era (1941 - 1967) / Crenchaw, Milton Pitts
Milton Pitts Crenchaw, of the original Tuskegee Airmen, was one of the first African Americans in the country and the first from Arkansas to be trained by the federal government as a civilian licens... | Little Rock (Pulaski County) from 1947 to 1953. His combined service record extends for over forty years of federal service from 1941 to 1983 with the U.S. Army (in the Army Air Corps) and eventually the U.S | 1946.
Milton Pitts Crenchaw was born in 1906 in | Print this page.
Home / Browse / Time Period / World War II through the Faubus Era (1941 - 1967) / Crenchaw, Milton Pitts
Milton Pitts Crenchaw, of the original Tuskegee Airmen, was one of the first African Americans in the country and the first from Arkansas to be trained by the federal government as a civilian licens... | 128 | 64 | 23 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 4.4233 | {
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Mar 18, 2016
Acceleration on rough ice, $a = - 2.8 m {s}^{-} 2$
$- v e$ sign shows that it is retardation
Explanation:
We need t... | patch.
Speed when she hits the patch of ice, initial speed $u = 8.0 m / s$
Speed when she left the patch of ice final speed $v = 6.0 m / s$
Width of patch of ice $s = 5.0 m$
Acceleration | patch.
The time taken to slow down from 8.0 m/s to 6.0 m/s is
$t = \frac{v - v_0}{a}$
where $v_0 = 8.0 m/s$ and $v = 6.0 m/s$
| A speed skater moving across frictionless ice at 8.0 m/s hits a 5.0-m-wide patch of rough ice. She slows steadily, then continues on at 6.0 m/s. What is her acceleration on the rough ice?
Mar 18, 2016
Acceleration on rough ice, $a = - 2.8 m {s}^{-} 2$
$- v e$ sign shows that it is retardation
Explanation:
We need t... | 128 | 64 | 64 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 12.4397 | {
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... | Potato Bug Exterminators - Poem by James McIntyre
During the summer of 1883 we were walking along past a large field of
potatoes in North Oxford, where we beheld the strange spectacle of a
pair of bipeds drilling their offspring to march up one potato row and
down the other, so as to annihilate the enemy, who had assem... |
enemy and with one fell swoop, bringing on them consternation and
ruin dire. It appears that the foe, or their progenitors,
had been citizens of Colordo in the far West. And that,
having conquered all before them, they sought another
World to conquer here.
|
enemy, and driving them back to their own fields.
The | Potato Bug Exterminators - Poem by James McIntyre
During the summer of 1883 we were walking along past a large field of
potatoes in North Oxford, where we beheld the strange spectacle of a
pair of bipeds drilling their offspring to march up one potato row and
down the other, so as to annihilate the enemy, who had assem... | 128 | 64 | 14 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 3.3295 | {
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December 11, 2012
In recognition of HIV/AIDS Awareness Month, researchers from the Drexel University College of Medicine's Division of Infectious Disease and HIV Medicine outlined their HIV/AIDS research and prevention activities. Three HIV research approaches exis... | , explained Jeffrey M. Jacobson, M.D. To accomplish this "definitive solution," the team is attempting to keep infection from entering cells using antibodies against HIV. The outcome of the research would be vaccines or immune-based therapies that assist the immune system in controlling HIV infections.
12.07. | .
The Drexel team has been working on the "re-educate the immune system" approach for more than 10 years. The team's research has been published in the journal Nature and the journal Cell.
The Drexel team has been working on the "re-educate the immune | Philadelphia: University Contributes to AIDS Awareness
December 11, 2012
In recognition of HIV/AIDS Awareness Month, researchers from the Drexel University College of Medicine's Division of Infectious Disease and HIV Medicine outlined their HIV/AIDS research and prevention activities. Three HIV research approaches exis... | 128 | 64 | 64 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 12.5691 | {
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"token_count":... | So you’ve been training with power and now you want to run a race. What power should you target and for what duration?
For estimating your various race day power targets, you can use the table provided on Stryd’s Facebook Page (a post from June 2, 2017) or you can use the Riegel prediction formulas based on known dist... |
Methods to estimate your race power:
• Stryd’s table
• Riegel Prediction Formula – refined with running effectiveness, see the spreadsheet below to develop your personal Riegel fatigue factors and running effectiveness metric
The Stryd table:
To use the table, multiply your most recent 10k |
The table below shows the estimated power targets for a 1000m race, based on the average power output of a 1000m sprinter. The average power output of a 1000m sprinter is 100 watts.
• 100 | So you’ve been training with power and now you want to run a race. What power should you target and for what duration?
For estimating your various race day power targets, you can use the table provided on Stryd’s Facebook Page (a post from June 2, 2017) or you can use the Riegel prediction formulas based on known dist... | 128 | 64 | 64 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 12.8905 | {
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math:https://www.omnicalculator.com/physics/wind-correction-angle | math | HuggingFaceTB/finemath | finemath-4plus | {
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# Wind Correction Angle Calculator
Effect of wind on the aircraft flight pathWind correction angleHow to calculate wind correction angleHow to use Omni's wind correction angle calculator
Welcome to Omni's wind correction angle calculator. This calculator uses vector analysis to determine the correction... | to B along the path (desired course) shown in Figure 1, and the wind is blowing across the path from the left. The wind will try to blow us off our desired course. And if we do not compensate for this effect, we will fly along the path shown in yellow (track) and end up | to B. The aircraft is flying at a certain speed and heading. However, the wind is blowing in a certain direction. This wind will affect the aircraft's flight path.
The aircraft's flight path will be affected by the wind in two ways:
• The aircraft's flight path will be affected by the | Last updated:
# Wind Correction Angle Calculator
Effect of wind on the aircraft flight pathWind correction angleHow to calculate wind correction angleHow to use Omni's wind correction angle calculator
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math:https://socratic.org/questions/5504d4ee581e2a272ba7d3c8 | math | HuggingFaceTB/finemath | finemath-4plus | {
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"warc_re... | # Question #7d3c8
Mar 15, 2015
Your reaction will produce $\text{5530 mL}$ of oxygen gas under those conditions for pressure and temperature.
So, you're dealing with the decomposition of potassium chlorate into potassium chloride and oxygen gas. The balanced chemical equation for this reaction looks like this
$2 K ... | }$ mole ratio that exists between potassium chlorate and oxygen gas - for every 2 moles of the former that react, 3 moles of the latter will be produced.
In other words, regardless of how many moles of potassium chlorate react, you'll always have 3/2 times more mo | }$ ratio of $\text{KClO}_{3}$ to $\text{O}_{2}$ in the equation.
You're given that you have $1.00 \text{g}$ of $\text{KClO}_{3}$ and you're told that the reaction goes to completion.
So | # Question #7d3c8
Mar 15, 2015
Your reaction will produce $\text{5530 mL}$ of oxygen gas under those conditions for pressure and temperature.
So, you're dealing with the decomposition of potassium chlorate into potassium chloride and oxygen gas. The balanced chemical equation for this reaction looks like this
$2 K ... | 128 | 64 | 64 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 12.9912 | {
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math:https://lexique.netmath.ca/en/proportion/ | math | HuggingFaceTB/finemath | finemath-4plus | {
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"warc_record_length": ... | # Proportion
## Proportion
Equality of two ratios.
### Terminology
• A proportion written as $$\dfrac {a} {b} =\dfrac {c} {d}$$, where a : b :: c : d is read as “a is to b as c is to d” and is written : ad = bc.
• The elements a and d are called extremes (or extreme terms) and the elements b and c are called the me... | } {c}$$ , the second term b is called a mean proportional.
The following operations can be carried out based on the proportion $$\ | }{c}$$, the two middle terms are called the means.
• In a proportion with four terms $$\dfrac {a}{b} = | # Proportion
## Proportion
Equality of two ratios.
### Terminology
• A proportion written as $$\dfrac {a} {b} =\dfrac {c} {d}$$, where a : b :: c : d is read as “a is to b as c is to d” and is written : ad = bc.
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fineweb:<urn:uuid:97e8ea71-16f2-4f27-b2ee-e0dceef338be> | fineweb | HuggingFaceFW/fineweb-edu | sample-10BT | {
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Looking froward to the Google Earth | showing the astronauts’ paths and the tracks left by the buggy.
The images are taken from 13 to 15 miles up, so they are | WASHINGTON WLS – A spacecraft circling the moon has snapped the sharpest photos ever of the tracks and trash left behind by Apollo astronauts in their visits from 1969 to 1972.Images taken by NASA’s Lunar Reconnaissance Orbiter from 13 to 15 miles up show the astronauts’ paths when they walked on the moon, as well as r... | 128 | 32 | 32 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 10.404 | {
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Targeted Radiation for Lung Cancer May Carry Risks
Latest Cancer News
WEDNESDAY, June 13 (HealthDay News) -- A woman with early-stage lung cancer died recently after highly targeted radiation therapy zapped not just her tumor, but surrounding tissue, fatally damaging her airway.
Though just a sin... | body-radiation therapy focuses beams of radiation on a tumor in the hopes of killing it. Because it uses highly precise beams that can focus large doses of radiation | body-radiation therapy (SBRT) is a form of radiation therapy that uses a small amount of radiation to treat a tumor. The radiation is delivered in | From Our 2012 Archives
Targeted Radiation for Lung Cancer May Carry Risks
Latest Cancer News
WEDNESDAY, June 13 (HealthDay News) -- A woman with early-stage lung cancer died recently after highly targeted radiation therapy zapped not just her tumor, but surrounding tissue, fatally damaging her airway.
Though just a sin... | 128 | 32 | 32 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 7.0337 | {
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math:https://ubraintv-jp.com/how-many-celsius-is-100-fahrenheit/ | math | HuggingFaceTB/finemath | finemath-4plus | {
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"war... | ## 100 F to C (100 levels Fahrenheit to Celsius) Conversion
Convert temperature systems of 100 F come C (Degrees Fahrenheit come Celsius) now! Converting degrees from imperial to Metric is simple with our basic to usage conversion calculator or keep reading to learn how to convert these systems yourself!100 levels Fah... | Celsius below.The basic equation to convert F to C is come subtract F by 32 and then divide by 1.8 (or 9/5 | Celsius with our simple calculator!
100 F = 37.778 C
## 100 F to C (Fahrenheit | ## 100 F to C (100 levels Fahrenheit to Celsius) Conversion
Convert temperature systems of 100 F come C (Degrees Fahrenheit come Celsius) now! Converting degrees from imperial to Metric is simple with our basic to usage conversion calculator or keep reading to learn how to convert these systems yourself!100 levels Fah... | 128 | 32 | 32 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 7.107 | {
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math:http://plus.maths.org/content/os/issue43/features/serieswright/index | math | HuggingFaceTB/finemath | finemath-4plus | {
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"warc_record_of... | Non-Euclidean geometry and Indra's pearls
Issue 43
June 2007
Many people will have seen and been amazed by the beauty and intricacy of fractals like the one shown below. This particular fractal is known as the Apollonian gasket and consists of a complicated arrangement of tangent circles. [Click on the image to see t... | below. In contrast, figure 1b shows a tiling of the ordinary flat plane. In this article, which first appeared in the Proceedings of the Bridges | .
Figure 1a: A tiling of hyperbolic space
The tiling in figure 1a is called the | Non-Euclidean geometry and Indra's pearls
Issue 43
June 2007
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Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!
### Grade 5 - Mathematics2.18 Multiplying Decimals by 100
Example: Multiply 6.45 by 10 Since we have to multiply the number by 10 tens (i.e. 2 zeros after one), we shi... | ___
### Grade 5 - Mathematics2.18 Multiplying Decimals by 100
Q 1: 100 x | ___
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!
### Grade | Name: ___________________Date:___________________
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!
### Grade 5 - Mathematics2.18 Multiplying Decimals by 100
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math:https://artofproblemsolving.com/wiki/index.php?title=2008_AMC_10A_Problems/Problem_18&diff=prev&oldid=155243 | math | HuggingFaceTB/finemath | finemath-4plus | {
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"warc_filename": "crawl-data/CC-MAIN-2023-40/segments/1695233506669.96/warc/CC-MAIN-20230924223409-20230925013409-00850.wa... | # Difference between revisions of "2008 AMC 10A Problems/Problem 18"
## Problem
A right triangle has perimeter $32$ and area $20$. What is the length of its hypotenuse?
$\mathrm{(A)}\ \frac{57}{4}\qquad\mathrm{(B)}\ \frac{59}{4}\qquad\mathrm{(C)}\ \frac{61}{4}\qquad\mathrm{(D)}\ \frac{63}{4}\qquad\mathrm{(E)}\ \frac... | 4}$
## Solution
### Solution 1
Let the legs of the triangle have lengths $a,b$. Then, by the Pythagorean Theorem | 4}$
## Solution
Let the legs of the right triangle be $a$ and $b$, and the hypotenuse be $c$. Then, | # Difference between revisions of "2008 AMC 10A Problems/Problem 18"
## Problem
A right triangle has perimeter $32$ and area $20$. What is the length of its hypotenuse?
$\mathrm{(A)}\ \frac{57}{4}\qquad\mathrm{(B)}\ \frac{59}{4}\qquad\mathrm{(C)}\ \frac{61}{4}\qquad\mathrm{(D)}\ \frac{63}{4}\qquad\mathrm{(E)}\ \frac... | 128 | 32 | 32 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 7.0012 | {
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math:https://de.slideshare.net/PennyJiang/6-estimation-hypothesis-testing-t-test | math | HuggingFaceTB/finemath | finemath-4plus | {
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"warc_record_offset": 2... | # 6 estimation hypothesis testing t test
31. Oct 2018
1 von 96
### 6 estimation hypothesis testing t test
• 1. Quantitative Research Methods Lecture 6 1. Probability distribution 2. Sample distribution 3. Estimation 4. Hypothesis Testing 5. T-test
• 2. Inferential statistics Differences between groups Relationships ... | samples. In order to do inference, we require the skills and knowledge of descriptive statistics, probability distributions, and sampling distributions.
• 4. 1 | samples.
• 4. Review 2: Statistical Inference… Statistical inference is the process by which we acquire information and draw conclusions about populations from samples | # 6 estimation hypothesis testing t test
31. Oct 2018
1 von 96
### 6 estimation hypothesis testing t test
• 1. Quantitative Research Methods Lecture 6 1. Probability distribution 2. Sample distribution 3. Estimation 4. Hypothesis Testing 5. T-test
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I read recently that you can find the number of digits in a number through the formula $\lfloor \log_{10} n \rfloor +1$ What's the logic behind this rather what's the proof?
Suppose that $n$ has $d$ digits; then $10^{d-1}\le n<10^d$, becaus... | 0$: $\log_{10}10^k=k$, so the inequality becomes $d-1\le\log_{10}n<d | 0$ of both sides:
$\log_{10}10^{d-1}\le \log_{10}n<\log_{ | # Proof: How many digits does a number have? $\lfloor \log_{10} n \rfloor +1$
I read recently that you can find the number of digits in a number through the formula $\lfloor \log_{10} n \rfloor +1$ What's the logic behind this rather what's the proof?
Suppose that $n$ has $d$ digits; then $10^{d-1}\le n<10^d$, becaus... | 128 | 32 | 32 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 6.9662 | {
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If you've just come down with miserable flu symptoms, you may wonder when to call the doctor. Sooner is better than later in case your doctor thinks you would benefit from flu medications that may help shorten the duration of your illness.
What Are Common Flu Symptoms?
The first challe... | with flu. Call your doctor right away if:
- Your fever returns
- Your fever lasts for longer than 3 days
- You have difficulty breathing | .
What Are the Signs of a Flu Bacterial Infection?
If you have a flu-like illness and you develop a fever, cough, sore throat | When to Call the Doctor About Flu
If you've just come down with miserable flu symptoms, you may wonder when to call the doctor. Sooner is better than later in case your doctor thinks you would benefit from flu medications that may help shorten the duration of your illness.
What Are Common Flu Symptoms?
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Although thoroughly rewarding, running a half marathon is no easy feat. The body deserves respect for putting itself under intense stress as we pound the streets of Peterborough for a heart-thumping 13 miles, and ... | ’s when we start challenging our bodies in new ways that the risk of injury increases.
This is why it is very important to make gradual changes to your training | is important to remember that you are not just a runner, but a triathlete.
The | Emma Cranfield, Senior Physiotherapist at Fitzwilliam Hospital, Peterborough and international triathlete,
Although thoroughly rewarding, running a half marathon is no easy feat. The body deserves respect for putting itself under intense stress as we pound the streets of Peterborough for a heart-thumping 13 miles, and ... | 128 | 32 | 19 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 4.3683 | {
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"warc_record... | Unit Fractions
Friday 11/7/08
Do-Now: Figuring out the fractions
The length measures shown below were used in ancient Mesopotamia for thousands of years:
Based on that picture, fill in the following sentences with words:
1. A reed is a of a rod.
2. A pace is a of a reed.
3. A cubit is a... | it = pace
Unit fractions of a rod
Next, we will use the facts above to figure out what fraction of a rod a pace or cub | it = pace
Do-Now: Figuring out the fractions
The length measures shown below were used in ancient Mesopotamia for thousands of years | Unit Fractions
Friday 11/7/08
Do-Now: Figuring out the fractions
The length measures shown below were used in ancient Mesopotamia for thousands of years:
Based on that picture, fill in the following sentences with words:
1. A reed is a of a rod.
2. A pace is a of a reed.
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"warc_record_l... | A Meter of Candy
• Lesson
3-5
3
In this series of 3 hands-on activities, students develop and reinforce their understanding of hundredths as fractions, decimals, and percentages. Students explore using candy pieces as they physically make and connect a set/linear model to area models.
Preparation
Prepare a sandwich... | /15/15) or leave the number of each color to chance. Try to find candies that are slightly less than 1 cm in diameter | /30).
Materials
• 1 candy bag of 100 candies
• 1 candy bag of | A Meter of Candy
• Lesson
3-5
3
In this series of 3 hands-on activities, students develop and reinforce their understanding of hundredths as fractions, decimals, and percentages. Students explore using candy pieces as they physically make and connect a set/linear model to area models.
Preparation
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"file_path": "s3://commoncrawl/crawl-data... | Print this page.
Home / Browse / Time Period / World War II through the Faubus Era (1941 - 1967) / Crenchaw, Milton Pitts
Milton Pitts Crenchaw, of the original Tuskegee Airmen, was one of the first African Americans in the country and the first from Arkansas to be trained by the federal government as a civilian licens... | Little Rock (Pulaski County) from 1947 to 1953. His combined service record extends for over forty years of | 1946.
Milton Pitts Crenchaw was born in 1906 in | Print this page.
Home / Browse / Time Period / World War II through the Faubus Era (1941 - 1967) / Crenchaw, Milton Pitts
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"warc_filename": "crawl-data/CC-MAIN-2019-22/segments/1558232259316.74/warc/CC-MAIN-20190526145334-20190526171334-00227... | A speed skater moving across frictionless ice at 8.0 m/s hits a 5.0-m-wide patch of rough ice. She slows steadily, then continues on at 6.0 m/s. What is her acceleration on the rough ice?
Mar 18, 2016
Acceleration on rough ice, $a = - 2.8 m {s}^{-} 2$
$- v e$ sign shows that it is retardation
Explanation:
We need t... | patch.
Speed when she hits the patch of ice, initial speed $u = 8.0 m / s$
Speed when she left the patch | patch.
The time taken to slow down from 8.0 m/s to 6.0 m/s is
$t = \frac{v - | A speed skater moving across frictionless ice at 8.0 m/s hits a 5.0-m-wide patch of rough ice. She slows steadily, then continues on at 6.0 m/s. What is her acceleration on the rough ice?
Mar 18, 2016
Acceleration on rough ice, $a = - 2.8 m {s}^{-} 2$
$- v e$ sign shows that it is retardation
Explanation:
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enemy and with one fell swoop, bringing on them consternation and
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enemy, and driving them back to their own fields.
The | Potato Bug Exterminators - Poem by James McIntyre
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potatoes in North Oxford, where we beheld the strange spectacle of a
pair of bipeds drilling their offspring to march up one potato row and
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December 11, 2012
In recognition of HIV/AIDS Awareness Month, researchers from the Drexel University College of Medicine's Division of Infectious Disease and HIV Medicine outlined their HIV/AIDS research and prevention activities. Three HIV research approaches exis... | , explained Jeffrey M. Jacobson, M.D. To accomplish this "definitive solution," the team is attempting to keep infection from entering cells using antibodies | .
The Drexel team has been working on the "re-educate the immune system" approach for more than 10 years. The team | Philadelphia: University Contributes to AIDS Awareness
December 11, 2012
In recognition of HIV/AIDS Awareness Month, researchers from the Drexel University College of Medicine's Division of Infectious Disease and HIV Medicine outlined their HIV/AIDS research and prevention activities. Three HIV research approaches exis... | 128 | 32 | 32 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 6.9971 | {
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math:runningbynumbers.com | math | HuggingFaceTB/finemath | finemath-4plus | {
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"token_count":... | So you’ve been training with power and now you want to run a race. What power should you target and for what duration?
For estimating your various race day power targets, you can use the table provided on Stryd’s Facebook Page (a post from June 2, 2017) or you can use the Riegel prediction formulas based on known dist... |
Methods to estimate your race power:
• Stryd’s table
• Riegel Prediction Formula – refined with running effectiveness, see the spreadsheet below to |
The table below shows the estimated power targets for a 1000m race, based on the average power output of a 1000 | So you’ve been training with power and now you want to run a race. What power should you target and for what duration?
For estimating your various race day power targets, you can use the table provided on Stryd’s Facebook Page (a post from June 2, 2017) or you can use the Riegel prediction formulas based on known dist... | 128 | 32 | 32 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 6.9837 | {
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math:https://www.omnicalculator.com/physics/wind-correction-angle | math | HuggingFaceTB/finemath | finemath-4plus | {
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# Wind Correction Angle Calculator
Effect of wind on the aircraft flight pathWind correction angleHow to calculate wind correction angleHow to use Omni's wind correction angle calculator
Welcome to Omni's wind correction angle calculator. This calculator uses vector analysis to determine the correction... | to B along the path (desired course) shown in Figure 1, and the wind is blowing across the path from the left. The wind will try to | to B. The aircraft is flying at a certain speed and heading. However, the wind is blowing in a certain direction. This wind will affect the aircraft's | Last updated:
# Wind Correction Angle Calculator
Effect of wind on the aircraft flight pathWind correction angleHow to calculate wind correction angleHow to use Omni's wind correction angle calculator
Welcome to Omni's wind correction angle calculator. This calculator uses vector analysis to determine the correction... | 128 | 32 | 32 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 6.9523 | {
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math:https://socratic.org/questions/5504d4ee581e2a272ba7d3c8 | math | HuggingFaceTB/finemath | finemath-4plus | {
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"warc_re... | # Question #7d3c8
Mar 15, 2015
Your reaction will produce $\text{5530 mL}$ of oxygen gas under those conditions for pressure and temperature.
So, you're dealing with the decomposition of potassium chlorate into potassium chloride and oxygen gas. The balanced chemical equation for this reaction looks like this
$2 K ... | }$ mole ratio that exists between potassium chlorate and oxygen gas - for every 2 moles of the former that react, 3 moles of the latter | }$ ratio of $\text{KClO}_{3}$ to $\text{O}_{2}$ in the equation.
You're given that you have $ | # Question #7d3c8
Mar 15, 2015
Your reaction will produce $\text{5530 mL}$ of oxygen gas under those conditions for pressure and temperature.
So, you're dealing with the decomposition of potassium chlorate into potassium chloride and oxygen gas. The balanced chemical equation for this reaction looks like this
$2 K ... | 128 | 32 | 32 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 7.0057 | {
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Instructor authority is a complex construct that is influenced by a number of factors, including the instructor’s own personality, the nature of | Students are intentionally challenging the instructor’s authorityIn some instances, students act rudely to test the instructor, to flex their own intellectual muscle, or to show off to classmates. This is most likely to happen if the instructor’s authority is in question, for example, if s/he is timid or does not seem ... | 128 | 32 | 32 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 7.0809 | {
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math:http://en.citizendium.org/wiki?title=Complex_analysis&printable=yes | math | HuggingFaceTB/finemath | finemath-4plus | {
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"warc_record_offset": 130127040... | NOTICE: Citizendium is still being set up on its newer server, treat as a beta for now; please see here for more. Citizendium - a community developing a quality comprehensive compendium of knowledge, online and free. Click here to join and contribute—free CZ thanks our previous donors. Donate here. Treasurer's Financia... | ; by editing it you can help to improve it towards a future approved, citable version. These unapproved articles are subject to a disclaimer.
Complex analysis | . Please use the template for further citation.
Complex analysis is a branch of mathematics that deals with the study of functions of complex variables. It is a branch | NOTICE: Citizendium is still being set up on its newer server, treat as a beta for now; please see here for more. Citizendium - a community developing a quality comprehensive compendium of knowledge, online and free. Click here to join and contribute—free CZ thanks our previous donors. Donate here. Treasurer's Financia... | 128 | 32 | 32 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 6.9844 | {
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"language": "en... | CASE NUMBER: 212
CASE MNEMONIC: BASMEX
CASE NAME: Mexico and Basel
On the Mexico-US border nearly 2,000 foreign owned factories have sprouted (1). These maquiladoras or "twin cities" draw thousands of Mexican people into the already overpopulated region; thus, making the area a major "cesspool". Twin plants were to act... | require an international action in addition to a new definition of national sovereignty when it comes to environmental protection issues.
The EPA's role is to track down the wastes | is a result of the lack of a common border management policy.
The | CASE NUMBER: 212
CASE MNEMONIC: BASMEX
CASE NAME: Mexico and Basel
On the Mexico-US border nearly 2,000 foreign owned factories have sprouted (1). These maquiladoras or "twin cities" draw thousands of Mexican people into the already overpopulated region; thus, making the area a major "cesspool". Twin plants were to act... | 128 | 32 | 15 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 3.5225 | {
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math:https://www.dataunitconverter.com/kilobyte-per-second-to-mebibit-per-second/8 | math | HuggingFaceTB/finemath | finemath-4plus | {
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"warc_record_offset": ... | # kBps to Mibps - 8 kBps to Mibps Conversion
expand_more
S = Second, M = Minute, H = Hour, D = Day
Sec
Min
Hr
Day
Sec
Min
Hr
Day
label_important RESULT close
8 kBps =0.06103515625 Mibps
( Equal to 6.103515625E-2 Mibps )
content_copy
Calculated as → 8 x (8x1000) ÷ 10 | 242 smart_display Show Stepsexpand_more
Below chart table shows the amount of data that can be transferred at a constant speed of 8 kB | 00000 = 6.103515625E-2 Mibps
content_copy
8 kBps = | # kBps to Mibps - 8 kBps to Mibps Conversion
expand_more
S = Second, M = Minute, H = Hour, D = Day
Sec
Min
Hr
Day
Sec
Min
Hr
Day
label_important RESULT close
8 kBps =0.06103515625 Mibps
( Equal to 6.103515625E-2 Mibps )
content_copy
Calculated as → 8 x (8x1000) ÷ 1000000 = 6.103515625E-2 Mibps
content_copy
8 kBps = | 128 | 32 | 32 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 6.9894 | {
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math:http://nrich.maths.org/public/leg.php?code=31&cl=2&cldcmpid=5517 | math | HuggingFaceTB/finemath | finemath-4plus | {
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"warc_record_offset": 295140300,
... | # Search by Topic
#### Resources tagged with Addition & subtraction similar to Magic Matrix:
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### Magic Matrix
##### Stage: 2 Challenge Level:
Find out why these matrices are magic. Can you work out how they were made? Can you make your own Magic Matrix?
### Reverse... | : 2 Challenge Level:
Annie cut this numbered cake into 3 pieces with 3 cuts so that the numbers on each piece added to the same | : 2 Challenge Level:
You have a cake that is divided into 100 equal pieces. You want to divide it into 100 | # Search by Topic
#### Resources tagged with Addition & subtraction similar to Magic Matrix:
Filter by: Content type:
Stage:
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### Magic Matrix
##### Stage: 2 Challenge Level:
Find out why these matrices are magic. Can you work out how they were made? Can you make your own Magic Matrix?
### Reverse... | 128 | 32 | 32 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 7.0242 | {
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0.013333,
0.007212,
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4.515553,
2.466563,
1.924192,
3.679729,
2.654363,
1.... |
math:https://differencebetweenz.com/difference-between-descriptive-and-inferential-statistics/ | math | HuggingFaceTB/finemath | finemath-4plus | {
"url": "https://differencebetweenz.com/difference-between-descriptive-and-inferential-statistics/",
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"warc_rec... | # Difference between Descriptive and Inferential Statistics
## Descriptive vs. Inferential Statistics
Difference between Descriptive and Inferential Statistics: – There are two major fields within Statistics, and people often may feel confused about what the difference is between the two. Each of them is important an... | Statistics
This is the best known by most and as its name implies, its aim is to describe. In this case, numerical measures are used to analyze data | Statistics is a statistical method that is used to describe the characteristics of a sample. It is used to describe | # Difference between Descriptive and Inferential Statistics
## Descriptive vs. Inferential Statistics
Difference between Descriptive and Inferential Statistics: – There are two major fields within Statistics, and people often may feel confused about what the difference is between the two. Each of them is important an... | 128 | 32 | 21 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 4.5815 | {
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0.690363,
3.207678,
2.739344,
3.485667,
0.... |
fineweb:<urn:uuid:53462277-c76d-485d-8221-ee6bccaaadf8> | fineweb | HuggingFaceFW/fineweb-edu | sample-10BT | {
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"dump": "CC-MAIN-2015-22",
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"file_path": "s3://commoncrawl/crawl-data/CC-MAIN-2015-22/segments/1432207924799.9/warc/CC-MAIN-20150521113204-00250-ip-... | Myth 1: There has been no reduction in poverty as a result of post-1991 reforms
This myth challenges not only the link between reforms and growth but the link between growth and poverty, by asserting that poverty did not decline after the acceleration of growth subsequent to the post-1991 reforms. According to the Plan... | . Presumably, therefore, the number of poor has at best declined marginally.
Once popularised by the World Bank, going by the absolute number of | . The number of poor in 2004-05 was 292 million, a reduction of 29 million from 19 | Myth 1: There has been no reduction in poverty as a result of post-1991 reforms
This myth challenges not only the link between reforms and growth but the link between growth and poverty, by asserting that poverty did not decline after the acceleration of growth subsequent to the post-1991 reforms. According to the Plan... | 128 | 32 | 32 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 6.9593 | {
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4.326828,
2.832988,
0.665063,
0.01264,
0.515415,
1.688268,
0.209134,
0.047... |
math:https://nrich.maths.org/public/leg.php?code=45&cl=3&cldcmpid=381 | math | HuggingFaceTB/finemath | finemath-4plus | {
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"fetch_time": 1545173793000000000,
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"warc_record_offset": 694432086,
... | # Search by Topic
#### Resources tagged with Algebra - generally similar to Novemberish:
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### There are 28 results
Broad Topics > Algebra > Algebra - generally
### Novemberish
##### Age 14 to 16 Challenge Level:
a) A four digit number (in base 10) aabb is a per... | 16 Challenge Level:
Take any pair of two digit numbers x=ab and y=cd where, without loss of generality, ab > cd | 16 Challenge Level:
a) Find the remainder when 123456789 divided by 1000. ( | # Search by Topic
#### Resources tagged with Algebra - generally similar to Novemberish:
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### There are 28 results
Broad Topics > Algebra > Algebra - generally
### Novemberish
##### Age 14 to 16 Challenge Level:
a) A four digit number (in base 10) aabb is a per... | 128 | 32 | 32 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 7.0124 | {
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math:https://oathkeepersjoco.com/getanswers-363 | math | HuggingFaceTB/finemath | finemath-4plus | {
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"warc_record_length":... | Finding the equation of a line
We will also provide some tips for finding the equation of a line quickly and efficiently
Finding the Standard Form Equation of a Line
Once we have this value for m, it’s simply putting it into an equation like y=mx + b to come up with our relevant answer - the exact equation for our g... |
Using these axes, we find the correlation between each point’s (x1, y1) coordinates and use them with another point (x2, y | the | Finding the equation of a line
We will also provide some tips for finding the equation of a line quickly and efficiently
Finding the Standard Form Equation of a Line
Once we have this value for m, it’s simply putting it into an equation like y=mx + b to come up with our relevant answer - the exact equation for our g... | 128 | 32 | 1 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 0.4158 | {
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"token_entropies": [
6.386346,
6.992352
]
} |
math:http://docplayer.net/45262037-Newton-s-second-law-figure-1.html | math | HuggingFaceTB/finemath | finemath-4plus | {
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"... | # Newton s Second Law. Figure 1
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## Transcription
1 July 7 - Newton's Second Law 1 Newton s Second Law How does a cart change its motion when you push and pull on it? You might think that the harder you push on a cart, the faster it goes. Is the cart s velocity relat... | heavy cart moving than a lighter one. A Force Sensor and an Accelerometer will let you measure the force on a cart simultaneously with the cart s acceleration. The | cart moving faster than a lighter cart. But what about the cart s mass? What is the relationship between the force and the mass of the cart? We can | # Newton s Second Law. Figure 1
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1 July 7 - Newton's Second Law 1 Newton s Second Law How does a cart change its motion when you push and pull on it? You might think that the harder you push on a cart, the faster it goes. Is the cart s velocity relat... | 128 | 32 | 32 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 7.0308 | {
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math:http://wikien4.appspot.com/wiki/Divisor_function | math | HuggingFaceTB/finemath | finemath-4plus | {
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"warc_record_le... | # Divisor function
Divisor function σ0(n) up to n = 250
Sigma function σ1(n) up to n = 250
Sum of de sqwares of divisors, σ2(n), up to n = 250
Sum of cubes of divisors, σ3(n) up to n = 250
In madematics, and specificawwy in number deory, a divisor function is an aridmetic function rewated to de divisors of an integer... | isors of an integer (incwuding 1 and de number itsewf). It appears in a number of remarkabwe identities, incwuding rewationships | isors of an integer.
The divisor function is denoted by σ(n) or σ0(n). It is defined as de sum of de divisors of | # Divisor function
Divisor function σ0(n) up to n = 250
Sigma function σ1(n) up to n = 250
Sum of de sqwares of divisors, σ2(n), up to n = 250
Sum of cubes of divisors, σ3(n) up to n = 250
In madematics, and specificawwy in number deory, a divisor function is an aridmetic function rewated to de divisors of an integer... | 128 | 32 | 32 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 7.0505 | {
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"file_path": "s3://commoncrawl/crawl-data/CC-MAIN-2015-22/segments/1432207932737.93/warc/CC-MAIN-20150521113212-00092-ip-10-18... | |adjusted R square|
Demand Planning (APO-FCS)
In a multiple linear regression model, adjusted R square measures the proportion of the variation in the dependent variable accounted for by the explanatory variables. Unlike R square, adjusted R square allows for the degress of freedom associated with the sums of the squar... | square is significantly lower than R square, this normally means that some explanatory variable(s) are missing. Without them, the variation in the dependent variable is not fully | square is greater than 1, the model is overfitting.
- If adjusted R square is less than 0, the model is underfitting | |adjusted R square|
Demand Planning (APO-FCS)
In a multiple linear regression model, adjusted R square measures the proportion of the variation in the dependent variable accounted for by the explanatory variables. Unlike R square, adjusted R square allows for the degress of freedom associated with the sums of the squar... | 128 | 32 | 32 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 7.0137 | {
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The history of Charleston, South Carolina is one of the longest and most diverse of any community in the United States, spanning hundreds of years of physical settlement beginning in 1663 through modern times. Charleston was the leading city in the South from the colonial era down ... | its aristocratic and undemocratic tone. Starting in World War II, it became a major naval base. In recent decades, tourism and service industries have led | the city. The city was the site of the first slave revolt in the United States, and the site of the first | History of Charleston, South Carolina
The history of Charleston, South Carolina is one of the longest and most diverse of any community in the United States, spanning hundreds of years of physical settlement beginning in 1663 through modern times. Charleston was the leading city in the South from the colonial era down ... | 128 | 32 | 24 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 5.274 | {
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math:http://mathhelpforum.com/pre-calculus/275572-quick-question-about-integrals.html | math | HuggingFaceTB/finemath | finemath-4plus | {
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"warc_record_offse... | 1. ## A quick question about integrals
If a problem asks to evaluate
$\int_{3}^{4} (2x-4)^\frac{-1}{2} dx$
and I do this:
$=[(2x-4)^\frac{1}{2}]_3^4$
And I eventually get:
$=\sqrt{4} - \sqrt{2}$
Would I get multiple answers? As:
$=\pm 2$ - $\pm \sqrt{2}$
Because the answers in my textbook say there's only one answer,... | 2 - \sqrt{2}$
Thanks!
2. ## Re: A quick question about integrals
Hey winkyinky146.
| 2-\sqrt{2}$
2. ## A quick question about integrals
If a problem asks to evaluate
$\int_{3}^{4} | 1. ## A quick question about integrals
If a problem asks to evaluate
$\int_{3}^{4} (2x-4)^\frac{-1}{2} dx$
and I do this:
$=[(2x-4)^\frac{1}{2}]_3^4$
And I eventually get:
$=\sqrt{4} - \sqrt{2}$
Would I get multiple answers? As:
$=\pm 2$ - $\pm \sqrt{2}$
Because the answers in my textbook say there's only one answer,... | 128 | 32 | 32 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 6.9783 | {
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math:https://www.vedantu.com/iit-jee/partial-derivative-of-functions | math | HuggingFaceTB/finemath | finemath-4plus | {
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... | # Partial Derivative of Functions
View Notes
## What is Partial Derivative of Functions?
The partial derivative of functions is one of the most important topics in calculus. Let's say we have a function f(x,y); this implies that this is a function that depends on both the variables x and y where x and y are not depe... | y, here x remains constant.
For example:
Suppose f is a function in x and y then it will be denoted by f(x,y | y, x remains constant.
## What is the formula for the partial derivative of a function?
The formula for the partial | # Partial Derivative of Functions
View Notes
## What is Partial Derivative of Functions?
The partial derivative of functions is one of the most important topics in calculus. Let's say we have a function f(x,y); this implies that this is a function that depends on both the variables x and y where x and y are not depe... | 128 | 32 | 26 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 5.7027 | {
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1.901125,
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"file_path": "s3://commoncrawl/crawl-data/CC-MAIN-2015-22/segments/1432207928817.87/warc/CC-MAIN-2... | In 1909, the Manitowoc County Historical Society dedicated a marker to Chief Mexico in Manitowoc Rapids. It is estimated that more than 5,000 people attended the event. Today, the marker is located off of Broadway Street.
In the days before settlement, our area was named Manitowoc by the Native Americans who called thi... | villages located in our area: one in Manitowoc Rapids, one near Two Rivers and another at the fork of the Manitowoc River. Many smaller villages | villages in the area:
The first was the village of | In 1909, the Manitowoc County Historical Society dedicated a marker to Chief Mexico in Manitowoc Rapids. It is estimated that more than 5,000 people attended the event. Today, the marker is located off of Broadway Street.
In the days before settlement, our area was named Manitowoc by the Native Americans who called thi... | 128 | 32 | 12 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 2.8337 | {
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"url": "http://www.funnp.com/jokes/short_jokes_about_spring_summer_winter_autumn.html",
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In this article, we will discuss the four seasons in detail.
Spring
Spring is the season of renewal and rebirth. | Every season bring its own joy and pleasure. Being blessed with four seasons and the changes we experience are impossible to explain in words. Spring is full of colors, flowers, fruits, birds and festivals. Summer is the warmest of all the seasons, yet it has a lot of attractions with long days and short nights. Winter... | 128 | 32 | 32 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 6.9839 | {
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... | The purpose of this guide is to help users unfamiliar with legal research identify the key areas of legal research and locate materials in those areas.
This guide will focus on Federal materials, more specifically statutes, cases, and administrative law. In addition, this guide will also familiarize its users with info... | is a complex interplay of three types of law. These types of law typically follow the structure of the jurisdiction's government. Therefore, in the United States the | is a complex web of statutes, case law, administrative law, and other sources.
The law is a living document, constantly changing and evolving.
The | The purpose of this guide is to help users unfamiliar with legal research identify the key areas of legal research and locate materials in those areas.
This guide will focus on Federal materials, more specifically statutes, cases, and administrative law. In addition, this guide will also familiarize its users with info... | 128 | 32 | 32 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 7.0034 | {
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math:https://www.lessonplanet.com/search?concept_ids%5B%5D=203998 | math | HuggingFaceTB/finemath | finemath-4plus | {
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"war... | ### We found 51 resources with the concept opposite
Videos (Over 2 Million Educational Videos Available)
2:54
Phonics Song 2 (new version)
10:23
Algebra 50 - Three Variable Systems in the...
8:55
The Circulatory System Part 1: The Heart
Other Resource Types (51)
8 Items in Unit Module
Lesson Planet
#### Utah Middle S... | in turn enable them to make the transition from acquiring basic knowledge to creatively applying it. The lessons in the...
Lesson Planet
#### Furious Frogs
For | involve the use of algebraic expressions. The resources are organized into three units, each of which focuses on a different aspect of algebraic expressions. The first unit | ### We found 51 resources with the concept opposite
Videos (Over 2 Million Educational Videos Available)
2:54
Phonics Song 2 (new version)
10:23
Algebra 50 - Three Variable Systems in the...
8:55
The Circulatory System Part 1: The Heart
Other Resource Types (51)
8 Items in Unit Module
Lesson Planet
#### Utah Middle S... | 128 | 32 | 32 | Qwen/Qwen3.5-0.8B-Base | bfloat16 | 6.9483 | {
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End of preview. Expand in Data Studio
Qwen Continuation Dataset
Generated with qwen_continuation_dataset.
Statistics
| Shards | 42 |
| Examples | 235 |
| Shard size | 1 |
| Updated | 2026-07-05 14:47 UTC |
Usage
from datasets import load_dataset
ds = load_dataset("Zhuzhik/qwen_continuation_dataset")
ds = load_dataset("Zhuzhik/qwen_continuation_dataset", streaming=True)
Fields
| Field | Description |
|---|---|
source_id |
source document ID |
source_name |
source dataset (fineweb / math) |
prefix_text |
input prefix |
real_continuation |
original continuation from source |
teacher_continuation |
model-generated continuation |
synthetic_text |
prefix + teacher continuation |
generation |
generation settings and per-token entropies |
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