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2 years ago

Solve z=8+6x−px for x

1 answer:

8 0

$z=8+6x-px$

$
z-8=6x-px
 
$ $Subtract \ 8 \ from \ both \ sides$

$
z-8=x(6-p)
 
$ $Factor \ out \ the \ common \ term \ x$

$x=\dfrac{z-8}{6-p}$ $Divide \ both \ sides \ by \ 6-p$

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Answer:

x = -2,1,3

Step-by-step explanation:

Given: The curved line represented by the function crosses the x-axis at and y-axis at

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2 years ago

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The formula for the volume V of a cylinder is V = πr2h, where r is the radius of the base and h is the height of the cylinder. S

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Answer:

Part A) $h=V/(\pi r^{2})$

Part B) $h=4\ cm$

Step-by-step explanation:

Part A)

we have the formula of the volume of a cylinder

$V=\pi r^{2}h$

Solve for h

That means ----> isolate the variable h

Divide both side by πr²

$V/(\pi r^{2})=\pi r^{2}h/(\pi r^{2})$

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$V/(\pi r^{2})=h$

Rewrite

$h=V/(\pi r^{2})$

Part B) Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm

we have

$V=36\pi\ cm^3$

$r=3\ cm$

substitute in the formula and solve for h

$h=36\pi/(\pi 3^{2})$

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2 years ago

All members of our painting team paint at the same rate. If $20$ members can paint a $6000$ square foot wall in $24$ minutes, th

Yuri [45]

Let x represent time taken by 20 members to paint 9000 square foot wall.

We have been given that all members of our painting team paint at the same rate. 20 members can paint a 6000 square foot wall in 24 minutes. We are asked to find the time taken by 20 members to paint 9000 square foot wall.

We will use proportions to solve our given problem.

$\frac{\text{Time taken}}{\text{Area of wall painted}}=\frac{24\text{ min}}{6000\text{ ft}^2}$

$\frac{x}{9000\text{ ft}^2}=\frac{24\text{ min}}{6000\text{ ft}^2}$

$\frac{x}{9000\text{ ft}^2}\times 9000\text{ ft}^2=\frac{24\text{ min}}{6000\text{ ft}^2}\times 9000\text{ ft}^2$

$x=\frac{24\text{ min}}{6}\times 9$

$x=4\text{ min}\times 9$

$x=36\text{ min}$

Therefore, it will take 36 minutes for 20 members to paint 9000 square foot wall.

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2 years ago

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1. What is m∠CAD?

bulgar [2K]

< CAD = 100....if u add < ACB + < CBA u get < CAD
================
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if DAB = 125.....then BAC = 180 - 125 = 55
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< ABC = 180 - 85
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Sveta_85 [38]

Answer:

The required division problem he must solve is:

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