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pav-90 [236]
4 years ago
13

I don’t understand the equation someone help me

Mathematics
2 answers:
vladimir2022 [97]4 years ago
4 0

Answer:

#1

25

#2

1

#3

5

Step-by-step explanation:


garik1379 [7]4 years ago
3 0
For the first one, since x=5, we would substitute 5 for x in the expression:
{x}^{2}
So, it would be 5^2, which means 5 multiplied by itself 2 times, so it would be 5×5 which is 25.

For the next one, it's asking:
{1}^{x}
So if we substitute 5 for x, we get:
{1}^{5}
Which means 1 multiplied by itself 5 times, so it would be 1×1×1×1×1 which equals 1.

Finally, we have:
{x}^{1}
So again we substitute 5 for x to get
{5}^{1}
Which means 5 multiplied by itself one time which is just 5.
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Answer:

similar; RYL by SAS similarity

Step-by-step explanation:

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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

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1<br> Solve - (8x – 12) = 2x – 3<br> 4<br> 218x -<br> pleaseee help!!
Alex Ar [27]

Answer:

1/4.(-96)=2x-3

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Step-by-step explanation:

8 0
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