| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
The dimensions of this cylinder are height (h) = 4 and radius (r) = 4. What is the volume?
| 567π | |
| 4π | |
| 64π | |
| 49π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(42 x 4)
v = 64π
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h |
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4π r2 |
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π r2h2 |
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2(π r2) + 2π rh |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
Which of the following statements about math operations is incorrect?
you can multiply monomials that have different variables and different exponents |
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you can add monomials that have the same variable and the same exponent |
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you can subtract monomials that have the same variable and the same exponent |
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all of these statements are correct |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
First |
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Inside |
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Odd |
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Last |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.
Solve 8c + 6c = -c - 3y + 9 for c in terms of y.
| -\(\frac{1}{3}\)y - 1 | |
| -y + \(\frac{1}{3}\) | |
| -y + 1 | |
| -1\(\frac{1}{5}\)y - \(\frac{2}{5}\) |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
8c + 6y = -c - 3y + 9
8c = -c - 3y + 9 - 6y
8c + c = -3y + 9 - 6y
9c = -9y + 9
c = \( \frac{-9y + 9}{9} \)
c = \( \frac{-9y}{9} \) + \( \frac{9}{9} \)
c = -y + 1