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3 years ago

8

Please help me with both of these!!

1 answer:

boyakko [2]3 years ago

4 0

I only know the second one, you would use pemdas to break down the equation doing exponents first which would leave you with 2x x 2x x 2x x 2x which would leave you with 16x and the second one would be 4 x 4 which is also 16x so the new equation would be y = 16x - 16x - 3x + 1 which would leave you with an answer of -3x + 1. Hope this helped

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Martin had 7 pounds of grapes left, and he gave away 2/5 of them. Explain how to use compatible numbers to estimate the amount o

Dima020 [189]

<span>2/5 is close to 1/2, and it is easy to find 1/2 of 7 mentally. Half of 7 is 3.5, so Martin gave away about 3.5 pounds.</span>

7 0

4 years ago

Read 2 more answers

The function BN equals 6n represents the number of light bulbs BN that are needed for n chandeliers how many light bulbs are nee

zepelin [54]

BN =6n

n = chandeliers

you have 15 chandeliers so n = 15

so BN = 6(15)

BN = 90

you will need 90 light bulbs

8 0

4 years ago

A playground is rectangular with a length of 2/4 miles. If the area of the playground is 8/12 square miles, what is its width? I

sergey [27]

Answer:

The width of the playground is 4/3 miles

Step-by-step explanation:

Use the area formula and plug in values

A = l * w

8/12 = 2/4 * w

Use inverse operations to isolate the variable and solve

w = 8/12 ÷ 2/4

Cross multiply the fractions to find the quotient

w = 32/24

And lastly, simplify

w = 4/3 mi

5 0

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

Then, we get

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

8 0

3 years ago

Someone please help with this !

allochka39001 [22]

Answer:

Step-by-step explanation:

6 0

3 years ago