Question: What state contains a mountain that had the face of the 26th United States President carved into it?

Context paragraphs:
Mount Rushmore: Mount Rushmore National Memorial is a sculpture carved into the granite face of Mount Rushmore, a batholith in the Black Hills in Keystone, South Dakota, United States.  Sculptor Gutzon Borglum created the sculpture's design and oversaw the project's execution from 1927 to 1941 with the help of his son, Lincoln Borglum, and Chief Carver Luigi del Bianco.  Mount Rushmore features 60 ft sculptures of the heads of four United States presidents: George Washington (1732–1799), Thomas Jefferson (1743–1826), Theodore Roosevelt (1858–1919), and Abraham Lincoln (1809–1865).  The memorial park covers 1278.45 acre and is 5725 ft above sea level.

Timeline of the presidency of Gerald Ford: The presidency of Gerald Ford began on August 9, 1974, when Gerald Ford became President of the United States, and ended on January 20, 1977, a span of days.  Ford, the 38th United States president, succeeded Richard Nixon, who had resigned from office.  Prior to this he was the 40th Vice President of the United States, serving from 1973 until President Richard Nixon's resignation in 1974.  He was the first person appointed to the vice presidency under the terms of the Twenty-fifth Amendment to the United States Constitution, following the resignation of Vice President Spiro Agnew on October 10, 1973.  Ford has the distinction of being the first, and to date the only person to have served as both vice president and president without being elected to either office.

Theodore Roosevelt: Theodore Roosevelt Jr. ( ; October 27, 1858 – January 6, 1919) was an American statesman, author, explorer, soldier, naturalist, and reformer who served as the 26th President of the United States from 1901 to 1909.  He also served as the 25th Vice President of the United States from March to September 1901 and as the 33rd Governor of New York from 1899 to 1900.  As a leader of the Republican Party during this time, he became a driving force for the Progressive Era in the United States in the early 20th century.  His face is depicted on Mount Rushmore, alongside those of George Washington, Thomas Jefferson, and Abraham Lincoln.

Presidency of Andrew Johnson: The presidency of Andrew Johnson began on April 15, 1865, when Andrew Johnson became President of the United States upon the death of President Abraham Lincoln, and ended on March 4, 1869.  He had been Vice President of the United States for only days when he succeeded to the presidency.  The 17th United States president, he was a member of the Democratic Party before the Civil War, and was Lincoln's 1864 running mate on the National Union ticket, which was supported by Republicans and War Democrats.  He took office as the Civil War came to a close, and his presidency was dominated by the aftermath of the war.  Republican Ulysses S. Grant succeeded Johnson as president.

1901 State of the Union Address: The 1901 State of the Union Address was given on Tuesday, December 3, 1901, by the 26th President of the United States, Theodore Roosevelt.  It was presented to both houses of the 57th United States Congress, but he was not present.  He stated, "The Congress assembles this year under the shadow of a great calamity.  On the sixth of September, President McKinley was shot by an anarchist while attending the Pan-American Exposition at Buffalo, and died in that city on the fourteenth of that month."  He concluded it with, "Indeed, from every quarter of the civilized world we received, at the time of the President's death, assurances of such grief and regard as to touch the hearts of our people.  In the midst of our affliction we reverently thank the Almighty that we are at peace with the nations of mankind; and we firmly intend that our policy shall be such as to continue unbroken these international relations of mutual respect and good will."

2016 State of the Union Address: The 2016 State of the Union address was given by the 44th United States President Barack Obama on Tuesday, January 12, 2016, in the chamber of the United States House of Representatives.  It was addressed to the 114th United States Congress.  It was the first State of the Union address with Paul Ryan as Speaker of the House of Representatives.  It was the last State of the Union Address of Obama's presidency; no U.S. president since Gerald Ford has given a final State of the Union address at the end of his term.  Obama's presidency ended on January 20, 2017.

1927 State of the Union Address: The 1927 State of the Union Address was given on Tuesday, December 6, 1927.  It was given by Calvin Coolidge, the 30th United States President, to the 70th United States Congress.  He said, "For many years the Federal Government has been building a system of dikes along the Mississippi River for protection against high water.  During the past season the lower States were overcome by a most disastrous flood.  Many thousands of square miles were inundated a great many lives were lost, much livestock was drowned, and a very heavy destruction of property was inflicted upon the inhabitants."  So he talks about flood control.

2015 State of the Union Address: The 2015 State of the Union Address was given by the 44th United States President, Barack Obama, on Tuesday, January 20, 2015, in the chamber of the United States House of Representatives.  Following recent tradition, Speaker of the House John Boehner sent a letter on December 19, 2014, formally inviting President Obama to speak (despite a proposal from some conservatives that House Republicans withhold the invitation in retaliation for Obama's executive actions on immigration reform).  It was addressed to the 114th United States Congress.  The State of the Union Address was broadcast on various television and radio stations and webcast from the White House.  Webcasts were also provided by other sponsors, including a webcast from the U.S. Republican Party.

1939 State of the Union Address: The 1939 State of the Union Address was given to the 76th United States Congress, on Wednesday, January 4, 1939, by Franklin D. Roosevelt, the 32nd United States President.  Foreseeing World War II, he said, "In Reporting on the state of the nation, I have felt it necessary on previous occasions to advise the Congress of disturbance abroad and of the need of putting our own house in order in the face of storm signals from across the seas.  As this Seventy-sixth Congress opens there is need for further warning.

Presidency of Millard Fillmore: The presidency of Millard Fillmore began on July 9, 1850, when Millard Fillmore became President of the United States upon the death of Zachary Taylor, and ended on March 4, 1853.  Fillmore had been Vice President of the United States for when he became the 13th United States president.  Fillmore was the second president to succeed to the office without being elected to it, after John Tyler, as well as the last Whig president.  He was succeeded by Democrat Franklin Pierce.

Supporting paragraphs: Theodore Roosevelt Mount Rushmore
Answer: South Dakota