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murzikaleks [220]
2 years ago
5

The Bedrock water department has a monthly service charge of $6.80 and a volume charge of $1.80

Mathematics
1 answer:
lilavasa [31]2 years ago
3 0

Answer:

The answer is D

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4 can go into 56 how many times
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A container in the shape of a square-based prism has a volume of 2744 cm'. What dimensions give the
Vinvika [58]

Answer:

The dimensions that give the minimum surface area are:

Length = 14cm

width = 14cm

height = 14cm

And the minimum surface is:

S = 1,176 cm^2

Step-by-step explanation:

A regular rectangular prism has the measures: length L, width W and height H.

The volume of this prism is:

V = L*W*H

The surface of this prism is:

S = 2*(L*W + H*L + H*W)

If the base of the prism is a square, then we have L = W

Then the equations become:

V = L*L*H = L^2*H

S = 2*(L^2 + 2*H*L)

We know that the volume of the figure is 2744 cm^3

Then:

V = 2744 cm^3 = H*(L^2)

In this equation, we can isolate H.

H = (2744 cm^3)/(L^2)

Now we can replace this on the surface equation:

S = 2*(L^2 + 2*L* (2744 cm^3)/(L^2))

S = 2*L^2 + 4(2744 cm^3)/L

Now we want to minimize the surface area, then we need to find the zeros of the first derivative of S.

S' = 2*(2*L) - 4*(2744 cm^3)/L^2

This is equal to zero when:

0 = 2*(2*L) - 4*(2744 cm^3)/L^2

0 = 4*L*L^2 - 4*(2744 cm^3)

4*(2744 cm^3) = 4*L^3

2744 cm^3 = L^3

∛(2744 cm^3) = L = 14cm

Then the length of the base that minimizes the surface is L = 14.

Then we have:

H = (2744 cm^3)/(L^2) = (2744 cm^3)/(14cm)^2 = 14cm

Then the surface is:

S = 2*(L^2 + 2*L*H) = 2*( (14cm)^2 + 2*(14cm)*(14cm)) = 1,176 cm^2

8 0
3 years ago
HELP ME PLEASEEE [GIVING BRAINLIEST TO BEST ANSWER W/ EXPLANATION]
vivado [14]

Answer:

Step-by-step explanation:

1. There is a total of 16 outcomes

2. To get outcomes with a sum GREATER than 5, we have

2+4, 3+3, 3+4, 4+2, 4+3, 4+4 for a total of 6 outcomes.

3. To spin the same number twice, the possible outcomes are

1-1, 2-2, 3-3, 4-4 for a total of 4 outcomes.

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3 years ago
The product of two numbers is 30. If one of the numbers is 15/, what is the other number?
PSYCHO15rus [73]

Answer:

The other number is 2 if the given number is 15.

Step-by-step explanation:

One of the numbers is 15, correct?

Let the other number be x.

15 × x = 30

x = 30/15

x = 2.

Let's check:

15 × 2 = 30.

30 = 30.

Correct!

3 0
3 years ago
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