Math

If it can be determined, which of the following statements must be true for a and b ?

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(Note: The law of cosines states that for any triangle with vertices A, B, and C, where the sides opposite those vertices have lengths a, b, and c, respectively, c^2=a^2+b^2-2abcos C; cos 60°=0.5.)

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What is the value of b/a?

(Note: P(A) is the probability that Event A will occur.)

How many inches long is overline PT?

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How many two-digit numbers should be on your list?

The worth of thei nvestment exactly 8 years after the investment was made was between:

What is g(f(5x)) ?

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Given that the expected value of X is 20, what is the value of k?

The area of the circle is 64π. What are the coordinates of the point of tangency on the y-axis?

What is the length of that base, in inches?

If the tank is empty, what would be the cost to fill it 3/4 full?

If the volume of the almond is 2 cubic centimeters, what is the maximum volume, in cubic centimeters, of the chocolate in the piece of candy?

About how many inches of decorative rope did Rafael use?

Hoshi is building a circular pond in a square section of her backyard. The square section measures 20 feet on each side. The pond touches all 4 sides of the square section. Approximately what is the total area, in square feet, of the region inside this square section but outside the circular pond?

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What is the ratio of altos to sopranos?

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How many miles does a jet plane travel in 30 seconds if its speed is 840 miles per hour?

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What is the slope of the line passing through the points (-1, 4) and (2, -1) in the standard (x,y) coordinate plane?

Given that the signs sometimes flash simultaneously, how many seconds are there between consecutive simultaneous flashings?

Which of the following equations expresses a relationship between D. the length of the diagonal of the square shown below, and S, the length of a side of the square?

What is the cost of 1 notebook and 1 package of pencils?

Which of the following values is equal to 4√24 - 5√54 ?

What is the solution for win the equation 4(2w+3) = 1/2 (-4W+9)?

Which of the following is a possible sum of the complex numbers √-9 and √-16?

If 2x + 3y = 7, then which of the following is an expression for y in terms of x?

At a cost of $2 per square foot, how much will carpeting this hallway floor cost?

(k+2m) (3k-2m) is equivalent to:

What is the value of | (−2)(−3)(−2) | − | −3 −12 | ?

The scales on both axes of the standard (x,y) coordinate plane below are the same. Of the following values, which one is the best estimate for the slope of the line graphed in the plane?

What fraction of the fence will be painted when Chris and Sandy work at these rates for 2 hours?

What is the maximum percent correct, to the nearest percent, that Tomás can earn on the test?

What is the value of y − x when y = −11/16 and x = 18/32?

Brian can determine n, the number of CDs he can buy, using which of the following inequalities?

(Note: 1 mile = 5,280 feet)

A ball was dropped from a table, and the maximum rebound height, in inches, after each of the first 4 bounces was measured and recorded in the bar graph below. One of the following values is the mean of the 4 recorded heights. Which one?

(Note: No sales tax is charged.)

Five different stores have different prices for a particular brand and style of T-shirts. Those prices are shown in the table below. Which of the 5 stores offers the lowest price for 6 of these T-shirts?

-7(5a - b) + 3(-8b + a)

−13, 26, −52, 104, −208, …

What is the probability of drawing a piece of paper with a number less than 9 written on it?

In the figure below, C is on BD, ∠BAC measures 40°, and ∠ABC measures 110°. What is the measure of ∠ACD ?

For all nonzero values of x and y, which of the following expressions is equivalent to

What is the probability of randomly drawing a marble that is NOT green and is NOT blue?

Which of the following expressions gives the number of dollars in Elsa’s lockbox after Elsa’s deposit w weeks from now?

Given x = 5, y = 3, and z = −6, (x + y − z)(y + z) = ?

What is his pay for this week?
(Note: Amounts are before taxes and benefits are deducted.)

Given 4x − 9 = 6x − 15 is true, x = ?

What is the probability that the marble selected will be an odd-numbered red marble?

How many inches long will the brace be?