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3 years ago

10

Three ways to write 3 to the 5th power

2 answers:

cestrela7 [59]3 years ago

7 0

First expression

=> 3 x 3 x 3 x 3 x 3 – In this expression, we multiplied 3 5 times and the product is 243

Second expression

=> 3 ^ 5 , in where ^ read as raised to the power. , the product is also 243

Third expression

=> 3^2 x 3 ^3

=> (3 x 3) x (3 x 3 x 3)

=> 9 x 27, the product is also equals to 243.

Dmitry [639]3 years ago

4 0

The correct answer is

1. 1·3^5

2. 2·10^2+4·10^1+3*1^1

3. 3·3·3·3·3

The answer is 243

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What is the unit rate of the Rosk Construction?

Marizza181 [45]

Answer:

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Step-by-step explanation:

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3 years ago

The base and sides of a container is made of wood panels. The container does not have a lid. The base and sides are rectangular.

vfiekz [6]

Answer:

Minimum surface area = $70.77 cm^2$

Step-by-step explanation:

We are given that

Width of container=x cm

Length of container=2x cm

Volume of container= $54 cm^3$

We have to find the minimum surface areas that this container will have.

Volume of container= $l\times b\times h$

$x\times 2x\times h=54$

$2x^2h=54$

$h=\frac{54}{2x^2}=\frac{27}{x^2}$

Surface area of container= $2(b+l)h+lb$

Because the container does not have lid

Surface area of container= $S=2(2x+x)\times \frac{27}{x^2}+2x\times x$

$S=\frac{162}{x}+2x^2$

Differentiate w.r.t x

$\frac{dS}{dx}=-\frac{162}{x^2}+4x$

$\frac{dx^n}{dx}=nx^{n-1}$

Substitute $\frac{dS}{dx}=0$

$-\frac{162}{x^2}+4x=0$

$4x=\frac{162}{x^2}$

$x^3=\frac{162}{4}=40.5$

$x^3=40.5$

$x=(40.5)^{\frac{1}{3}}$

$x=3.4$

Again differentiate w.r.t x

$\frac{d^2S}{dx^2}=\frac{324}{x^3}+4$

Substitute x=3.4

$\frac{d^2S}{dx^2}=\frac{324}{(3.4)^3}+4=12.24>0$

Hence, function is minimum at x=3.4

Substitute x=3.4

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Minimum surface area = $\frac{162}{(3.4)}+2(3.4)^2=70.77 cm^2$

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4 years ago

Use the table to work out the values of a , b , c , and d .

slavikrds [6]

Answer:

a = 10, b = 6, c = 2, d = 0

Step-by-step explanation:

Substitute the appropriate values of x into the equation and evaluate

x = - 3 : y = 4 - 2(- 3) = 4 + 6 = 10 → a

x = - 1 : y = 4 - 2(- 1) = 4 + 2 = 6 → b

x = 1 : y = 4 - 2(1) = 4 - 2 = 2 → c

x = 2 : y = 4 - 2(2) = 4 - 4 = 0 → d

5 0

3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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saveliy_v [14]

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(Note that the unit cancels out)

The final answer is 400 m~

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3 years ago

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