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Aneli [31]
4 years ago
6

One cubic foot of sand weighs about 100 pounds. Approximate the weight of the cone-shaped pile of sand. Round your answer to the

nearest hundred pounds.

Mathematics
1 answer:
Tomtit [17]4 years ago
3 0
To find the weight of this sand you will use the formula for finding the volume of a cone and then multiply this by 100.  The volume will give us the number of cubic feet.

V = 1/3 x B x h (B is the area of the circle)
V = 1/3 x (pi x r^2) x h
      1/3 x 3.14 x 3.75^2 x 4.5
V = 66.23 cubic feet

66 cubic feet x 100 = 6600 pounds

The sand weighs approximately 6600 pounds.
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Determine the vertex of the function f(x) = 2(x − 5)2 + 8.
choli [55]

Answer:

Vertex ( 5 ,8) .

Step-by-step explanation:

Given  : f(x) = 2(x − 5)² + 8.

To find : Determine the vertex of the function .

Solution : We have given

f(x) = 2(x − 5)² + 8.

Vertex form of parabola  : f (x) = a(x - h)² + k, where (h, k) is the vertex.

On comparing f(x) = 2(x − 5)² + 8. with vertex form of parabola.

a = 2 , h = 5 , k = 8 .

Vertex ( 5 ,8) .

Therefore, Vertex ( 5 ,8) .

7 0
3 years ago
Read 2 more answers
What is the value of A when we rewrite 2^x-6 + 2x as A * 2^x?
Leto [7]

Algebraic expressions are expressions that use numbers and variables

The value of A is 65/64

<h3>How to determine the value of A</h3>

The expression is given as:

2^{x - 6} + 2^x

Rewrite the expression as:

2^{x - 6} + 2^x = \frac{2^x}{2^6} + 2^x

Factor out 2^x

2^{x - 6} + 2^x = 2^x(\frac{1}{2^6} + 1)

Rewrite as product

2^{x - 6} + 2^x = 2^x * (\frac{1}{2^6} + 1)

The expression to compare with is given as: A * 2^x.

So, we have:

A * 2^x  =2^x * (\frac{1}{2^6} + 1)

Divide both sides by 2^x

A =\frac{1}{2^6} + 1

Take LCM

A =\frac{1 + 2^6}{2^6}

A =\frac{65}{64}

Hence, the value of A is 65/64

Read more about expressions at:

brainly.com/question/4344214

6 0
2 years ago
What is the simplest form of 4a + 8b/12​<br> Step by step pls
shutvik [7]

Answer:

4a + 2b/3

Step-by-step explanation:

focus on 8b/12 first:

factor 8b/12 by 4 ---> 8b/12 = 4(2)b/4(3) ----> cancel 4 in the denominator and the nominator ---> 8b/12 = 4(2)b/4(3) = 2b/3

then, go back to 4a:

4a is in its simplest form, it can't be factor

therefore, plus 4a and 2b/3 = 4a + 2b/3

5 0
3 years ago
PLEASE HELP!!!!!!!!!!
kolbaska11 [484]
11/18 =0.6111111. I don’t think the ! Has any meaning
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1 year ago
PLEASE HELP ME!
salantis [7]

Answer:

the last one

Step-by-step explanation:

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