The hotter a main sequence star is, the brighter it is. Mona is an astronomer who looks at stars for a living. If she is observing how hot certain stars are and she notices that one is cooler then the others, what does that say about the brightness of that star it's dimmer or it's brighter?
it's dimmer

(Question)
Shorter wavelengths (higher frequencies) correspond to higher energies and thus hotter star temperatures. Would a star that is significantly cooler than the sun, which is outputting blue light which is higher in frequency that the yellow light of the Sun, be hotter or colder??
(Answer)
colder?

Ques: Smaller tributary glaciers, like tributary streams, flow into the main glacier in their own shallower U-shaped valleys. What would happen to the size of the valley created by a tributary stream if the size of the stream were to be increased the valley would be shallower or the valley would be deeper?
Ans: the valley would be deeper

(Q).
Water flowing over a steeper slope moves faster and causes more erosion. Mona is a scientist studying erosion at a university. She is observing a river. If she starts taking erosion measurements at the mouth of the river and moves up to the head of the river, what will she find happens as the slope gets less steep erosion decreases or erosion increases?
(A).
erosion decreases

Ques:If we increase the resistance in a series circuit, by adding more resistors, then the total current decreases. Mona is an electrical engineer designing a new circuit. If she increases the total number of resistors in her new circuit, what happens to the total current of the circuit increase or decrease?

Ans:decrease

In general, fossils in older rocks are less similar to modern organisms. Dan is comparing a mosquito that has been fossilized to a mosquito that he caught in a net. Since the fossilized mosquito is millions of years old, the similarities between the organisms will be many or few?
few