ACt Math Study

In the standard (x,y)coordinate plane, what are the coordinates of the midpoint of a line segment whose endpoints are (-3,0) and (7,4) ?

(2,2) Add x cords and divide by 2, do the same for y

Which of the following is equivalent to sin θ csc(-θ) wherever sin θ csc(-θ) is defined?

-1, (csc(-x) = -csc(x) = -1/sin(x))

An industrial cleaner is manufactured using only the 3 secret ingredients A, B, and C, which are mixed in the ratio of 2:3:5, respectively, by weight. How many pounds of secret ingredient B are in a 42-pound (net weight) bucket of this cleaner?

12.6

When x = 3 and y = 5, by how much does the value of 3x2 - 2y exceed the value of 2x2 - 3y ?

14

I'm thinking of 5 numbers such that their mean is equal to their median. If 4 of the numbers are 14, 8, 16, and 14, what is the 5th number?

18

What is the greatest common factor of 42, 126, and 210 ?

42 (Divide each number by the answers provided and the one that divides into a non decimal number is the correct one)

sqrt(-(-9)^2) = ?

9i

How many irrational numbers are there between 1 and 6 ?

Infinitely many (irrational numbers are ones that cannot be written as a fraction)