NEW QUESTION 58
There are seven vocalists, four guitarists, four drummers, and two bassists in Glen Oak’s music program, while there are five vocalists, eight guitarists, two drummers, and three bassists in Belmont’s music program.
If a band comprises one vocalist, one guitarist, one drummer, and one bassist, how many more bands can be formed in Belmont?

NEW QUESTION 59
A circle has a circumference of 16π feet.
What is the radius of the circle, in feet?

NEW QUESTION 60
What is the sum of the solutions of the 2 equations below?
8 x = 12
2 y + 10 = 22

NEW QUESTION 61
If b3 = -64, then b 2 – 3b – 4 =:

NEW QUESTION 62
If a + 3b = 37 and a – 3b = 19, then b = ___.

NEW QUESTION 63
John took out a cash advance of x dollars from a financing company. The company deducts a fee of 1/4 of the original advanced amount along with a transfer fee of $25.
Which of the following represents the final advanced amount that John receives after all applied fees in dollars?

NEW QUESTION 64
The length of a rectangle is one greater than three times its width. If the perimeter of the rectangle is 26 feet, what is the area of the rectangle?

NEW QUESTION 65
A store prices a coat at $85. During a sale, the coat is sold at 20% off. After the sale, the store raises the price of the coat 10% over its sale price.
What is the price of the coat now?

NEW QUESTION 66
What is the period of the function f(x) = csc(4x)?

NEW QUESTION 67
FILL BLANK
If 2a 2 + b = 10 and – (b/4 + 3a) = 11, what is the positive value of a?

NEW QUESTION 68
The number of decibels, d, produced by an audio source can be modeled by the equation:

where I is the sound intensity of the audio source and K is a constant.
How many decibels are produced by an audio source whose sound intensity is 1,000 times the value of K?

NEW QUESTION 69
If x is more than one-third the value of y, which of the following expresses the value of y in terms of x?

NEW QUESTION 70
Let the function f be defined as f(x) = 5x 2 – 7(4x + 3).
What is the value of f(3)?

NEW QUESTION 71
One of the following graphs in the standard ( x , y ) coordinate plane is the graph of y = sin 2 x + cos 2 x over the domain -π/2 ≤ x ≤ π/2.
Which one?
A)

B)

C)

D)

E)

NEW QUESTION 72
It takes eight people 12 hours to clean an office.
How long would it take six people to clean the office?

NEW QUESTION 73
If the expression

, then one possible value of x could be:

NEW QUESTION 74
Line y = 2/3x – 5 is perpendicular to line:

NEW QUESTION 75
If the statement “All students take the bus to school” is true, then which of the following must be true?

NEW QUESTION 76
If the lengths of the edges of a cube are decreased by 20%, the surface area of the cube will decrease by:

NEW QUESTION 77
What two values are not in the domain of

?