Algebra
Evaluate the logarithm:
log64(32)
5/6
The following equation describes a circle. Find the center and the radius of the circle.
x^2+y^2+6x−6y−7=0
C(-3, 3)
Radius: 5
What is the Law of Sines?
SinA/a = SinB/b = SinC/c
The National Aeronautics and Space Administration (NASA) is a US government agency whose budget is frequently many times contested. Many people think of NASA’s programs as trivial
Which option should replace the underlined portion?
A) NO CHANGE
B) oftentimes
C) repeatedly
D) Delete the underlined portion
D) Delete the underlined portion
(x+2)/(x+9)=8/x
Solve for all values of x
-6, 12
Convert the following angle measure to radians and calculate the sine.
120°
sqrt(3)/2
What point corresponds to an angle of 5π/2 radians on the unit circle
(0,1)
In truth, the agency has a widespread positive 2 effect on society by serving as a catalyst for innovation and scientific understanding, to create jobs, and showing humanity its place within the universe.
Which option should replace the underlined portion?
A) NO CHANGE
B) creating jobs,
C) for job creation,
D) the creation of jobs,
B) creating jobs
Use the long division method to find the result when 12x^3+5x^2−27x+13 is divided by 3x−1
4x^2+3x−8+5/(3x−1)
A straw is placed inside a rectangular box that is 3 inches by 6 inches by 7 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.
sqrt(94) inches
Two friends, Rakesh and Vishal started climbing a pyramid-shaped hill. Rakesh climbs 315 m and finds that the angle of depression is 72.3 degrees from his starting point. How high is he from the ground?
300.088 m
[...] the professor presented the Higgs field with such certainty that for a long while I had no idea it had yet to be established experimentally.
As used in line 77, “established” most nearly means
A) validated
B) founded
C) introduced
D) enacted
A) validated
A quantity with an initial value of 980 grows exponentially at a rate of 9.5% every 7 years. What is the value of the quantity after 93 years, to the nearest hundredth?
3272.43
Find the other two side lengths of a triangle with side length 18.9 between angles 87° and 42°
24.29 and 16.27
Find the value of (theta) when tan(theta) = 20/17
50°
Abshu was put into a home that already had two other boys from foster care. The Masons lived in a small wooden bungalow right on the edge of Linden Hills. And Mother Mason insisted that they tell anybody who asked that they actually lived in Linden Hills, a more prestigious address than Summit Place. It was a home that was kept immaculate.
The paragraph above establishes all of the following EXCEPT:
A) that Abshu had foster brothers.
B) that the Masons maintained a clean house.
C) how Mother Mason felt about the location of their house.
D) what Abshu remembered most about his years with the Masons.
D) what Abshu remembered most about his years with the Masons.
Find the sum of the results of the following equation evaluated from n = 0 to n = 89
40(1.04)^(n+1)
34444
Solve for the unknown side length in a triangle with side lengths of 17 and 22 surrounding an angle of 42°
14.7
A building 200 feet tall casitas a 90 foot shadow. If a person whose eyes are 5 feet above the top of the building looks down from the top of the building, what is the measure of the angle between the end of the shadow and the edge of the building? Round to the nearest tenth of a degree.
25.4°
The next day, a front-page headline in the New York Times declared, “Radio Listeners in Panic, Taking War Drama as Fact.” The Times article claimed that people had fled their homes and that police stations had been swamped with calls.
The writer wants to add a supporting detail to indicate that the story was widely reported. Which choice best accomplishes this goal?
A) NO CHANGE
B) Other newspapers also ran stories claiming that the broadcast had incited mass hysteria.
C) In 2013, many newspapers and magazines featured articles about the seventy‑fifth anniversary of the broadcast.
D) The Times was then and is now one of the United States’ most popular news sources.
B) Other newspapers also ran stories claiming that the broadcast had incited mass hysteria.