algebra
Which of the following expressions is equivalent to (x−3)2 ?
x2-6x+9
If Alex buys 3 notebooks for $4 each and pays with a $20 bill, how much change will he receive?
$8
What is the sum of the interior angles of any triangle?
180 degrees
Which ancient Greek mathematician is famous for his theorem relating the sides of a right triangle?
Pythagoras
solve for x: 3x+7=22
x=5
A car travels at a constant speed of 60 mph. How many miles will it cover in 3.5 hours?
210 miles
What is the area of a circle with a radius of 4cm in terms of pi?
16pi cm2
Which mathematical symbol represents the ratio of a circle's circumference to its diameter?
pi
What are the solutions to the quadratic equation x2-5x+6=0?
x=2, x=3
Two consecutive integers have a sum of 47. What is the larger integer?
24
In a right triangle, if the legs measure 6 units and 8 units, what is the length of the hypotenuse?
10 units
Sir Issac Newton and Gottfried Wilhelm Leibniz independently developed which branch of mathematics in the 17th century?
calculus
What is the slope of a line that passes through the points (2,5) and (6,13)?
m=2
A store applies a 20% discount to a $50 jacket. If sales tax is 10% on the discounted price, what is the final cost?
$44
What is the surface area of a cube whose volume is 64 cm3
96 cm2
Which ancient civilization is credited with creating the base-10 position numeral system and inventing the concept of zero as a number?
Ancient India/the Mayans
If f(x)=2x-5 and g(x)=x2+1, what is the value of f(g(-3))?
15
Working alone, Maya can finish a task in 4 hours, while Ben takes 6 hours. How many hours will it take them to complete the task together?
2.4 hours/2 hours and 24 minutes
What is the volume of a sphere with a radius of 3 cm in terms of pi? (v=4/3*pi*r3)
36 pi cm3
Known as the "Human Computer," which female NASA mathematician made the trajectory calculations for John Glenn's 1962 orbit around Earth and was featured in the book and movie "Hidden Figures?"
Katherine Johnson