| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.82 |
| Score | 0% | 56% |
The dimensions of this cylinder are height (h) = 5 and radius (r) = 8. What is the surface area?
| 100π | |
| 208π | |
| 110π | |
| 28π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 5)
sa = 2π(64) + 2π(40)
sa = (2 x 64)π + (2 x 40)π
sa = 128π + 80π
sa = 208π
Solve for x:
6x - 5 = \( \frac{x}{-6} \)
| \(\frac{5}{11}\) | |
| -1\(\frac{17}{64}\) | |
| -1\(\frac{11}{19}\) | |
| \(\frac{30}{37}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
6x - 5 = \( \frac{x}{-6} \)
-6 x (6x - 5) = x
(-6 x 6x) + (-6 x -5) = x
-36x + 30 = x
-36x + 30 - x = 0
-36x - x = -30
-37x = -30
x = \( \frac{-30}{-37} \)
x = \(\frac{30}{37}\)
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
2lw x 2wh + 2lh |
|
lw x wh + lh |
|
h2 x l2 x w2 |
|
h x l x w |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
The endpoints of this line segment are at (-2, -9) and (2, 1). What is the slope of this line?
| -3 | |
| -2 | |
| -1\(\frac{1}{2}\) | |
| 2\(\frac{1}{2}\) |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -9) and (2, 1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-9.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)What is 5a7 + 9a7?
| -4 | |
| 14a7 | |
| 45a7 | |
| 14 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
5a7 + 9a7 = 14a7