Ask question

Ask question

All categories

2 years ago

13

Sergio has two similar cylindrical pots, Pot A and Pot B. The radius of Pot A is 15 inches, and the radius of Pot B is 3 inches.

What is the ratio of the volume of Pot A
to the volume of Pot B?
15:3
45:9
125:1
5:1

1 answer:

aliya0001 [1]2 years ago

5 0

Answer:

C. 125 : 1

Step-by-step explanation:

V(A) : V(B) = [r(a)]³ : [r(b)]³ = 15³ : 3³ = (5*3)³: 3³ = (5³*3³) : 3³ = 5³ : 1 = 125:1

You might be interested in

Please help me with dividing by monomials

Verizon [17]

Answer:

<h2>No. D ) ( h^2 - 4h + 2 ) / h is correct</h2>

Step-by-step explanation:

( 8h^5 - 32h^4 + 16h^3 ) / 8h^4

= ( 8h^3( h^2 - 4h + 2 ) / 8h^4

= ( h^2 - 4h + 2 ) / h

5 0

2 years ago

If a pair of shoes has an original price of 80 and they are on sale for 48, what is the percent of discount?

defon

60% is the correct answer.

8 0

3 years ago

Read 2 more answers

MATH!<br><br><br> -4=2x+16<br><br> x=____?

Dima020 [189]

Answer: x=-10

Step-by-step explanation: hope this help

8 0

2 years ago

Find the 13th term of the arithmetic sequence -3x – 1,42 + 4,112 + 9, ...

Strike441 [17]

Answer:

The 13th term is 81<em>x</em> + 59.

Step-by-step explanation:

We are given the arithmetic sequence:

$\displaystle -3x -1, \, 4x +4, \, 11x + 9 \dots$

And we want to find the 13th term.

Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:

$\displaystyle \underbrace{-3x - 1}_{x_1} + d = \underbrace{4x + 4} _ {x_2}$

Find the common difference by subtracting the first term from the second:

$d = (4x+4) - (-3x - 1)$

Distribute:

$d = (4x + 4) + (3x + 1)$

Combine like terms. Hence:

$d = 7x + 5$

The common difference is (7<em>x</em> + 5).

To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

$\displaystyle x_n = a + d(n-1)$

Where <em>a</em> is the initial term and <em>d</em> is the common difference.

The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:

$\displaystyle x_n = (-3x - 1) + (7x+5)(n-1)$

To find the 13th term, let <em>n</em> = 13. Hence:

$\displaystyle x_{13} = (-3x - 1) + (7x + 5)((13)-1)$

Simplify:

$\displaystyle \begin{aligned}x_{13} &= (-3x-1) + (7x+5)(12) \\ &= (-3x - 1) +(84x + 60) \\ &= 81x + 59 \end{aligned}$

The 13th term is 81<em>x</em> + 59.

3 0

2 years ago

Write a slope intercept equation for a line passing through the point (4,-2) that is parallel to the line 4x+5y=7. Then write a

LuckyWell [14K]

First, the equation needs to be put into slope-intercept form, which is y = -4/5x + 7/5. Then, you need to know what parallel and perpendicular lines are. REMEBER, parallel lines have the same slope, and perpendicular lines have slopes whose product equal -1. You just need to substitute. For the parallel line, -2 = -4/5(4) + b, and b = 6/5, so y = -4/5x + 6/5. For the perpendicular line, the slope is 5/4. Now substitute. -2 = 5/4(4) + b, and b = -7, so y = 5/4x -7.

3 0

3 years ago