Alicia Needs Data: 20 Question Math Test

If the limit as x goes to 3 is f(x)=7, which of the following must be true?

I. the function is continuous at x=3.
II. the function is differentiable at x=3.
III. f(3)=7

Let f and g be odd functions. If p, r, and s are nonzero functions defined as follows, which must be odd?

I. p(x)=f(g(x))
II. r(s)=f(x)+g(x)
III. s(x)=f(x)g(x)

The town of Milburg has 5256 grown-ups and 2987 children. How many people live in Milburg?

There are two numbers with the following properties:

1) The second number is 3 more than the first number.
2) The product of the two numbers is 9 more than their sum.

Which of the following represents possible values of these two numbers?

Use Lagrange multipliers to find the maximum value of the function
f(x, y, z) = xyz
on the sphere x^2 + y^2 + z^2 = 12.

(Note: x^2 can be read as x-squared)

Which is the factored form of
3a^2 −24ab + 48b^2 ?

(Note x^2 can be read as x-squared)

Assume that B is a 3x3 matrix with the property that B^2 = B. Which of the following statements about the matrix B MUST be true:

(Note: x^2 can be read as x-squared)

Jason bought a jacket on sale for 50% off the original price and another 25% off the discounted price. If the jacket originally cost $88, what was the final sale price that Jason paid for the jacket?

If x^2 is added to x, the sum is 42. Which of the following could be the value of x?

(Note x^2 can be read as x-squared)

Juanita earns $36 for 3 hours of work. At that rate, how long would she have to work to earn $720?

Abelardo wants to create several different 7-character screen names. He wants to use arrangements of the first 3 letters of his first name (abe), followed by arrangements of 4 digits in 1984, the year of his birth. How many different screen names can he create in this way?

A store has a rectangular parking lot that is 100 feet by 120 feet. What is the perimeter of the parking lot?

Sharice scored the following numbers of points in 5 dart games.
88, 96, 112, 135, 144
What is the median of these numbers?

Triangle WXY has the following properties:

* The angle at vertex W is 14°, and the angle at vertex X is obtuse.
* The side opposite vertex W has a length of 7.00 units.
* The side opposite vertex X has a length of 9.00 units.

What is the approximate length of the side opposite vertex Y?

What is the supplement of a 40° angle?

If each ball costs $1.54, how much must Kyoko pay for three balls?

Find the distance from the point (1, 4, 4) to the plane x + 2y + z = 7.

(Note: sqrt(x) can be read as 'the square root of x')

A survey of 1000 registered voters revealed that 450 people would vote for candidate A in an upcoming election. If 220,000 people vote in the election, how many votes would the survey takers predict candidate A should receive?

A manufacturer of TVs needs 72 resistors, 200 capacitors, and 80 diodes in order to build a particular model. The manufacturer can buy the components from three different electronic distributors. The first distributor packages 4 resistors, 10 capacitors, and 10 diodes in one grab bag. The second distributor packages 8 resistors, 20 capacitors, and 0 diodes in his grab bag. The third distributor's grab bag consists of 12 resistors, 40 capacitors, and 20 diodes. Use Cramer's rule to find x,y,z, the required number of grab bags that are needed from each of the three distributors to build the TV.

A man is standing on level ground 50 feet away from the wall of a building. He
looks up at a window on the building. The angle of elevation to the bottom of
the window is 28.5°. He then looks up at the top of the building. The angle of
elevation to the top of the building is 35°. What is the approximate distance
between the bottom of the window and the top of the building?