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Lera25 [3.4K]
2 years ago
13

Please do provide a correct answer because other ways I will report/block you. Please be honest and help me, please.

Mathematics
1 answer:
Irina-Kira [14]2 years ago
4 0

Answer:

incomplete

Step-by-step explanation:

please send the full information, I can't see students belonging to acers

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Using long division to find the quotient, what changes do you first
lora16 [44]

Answer:

\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4

Step-by-step explanation:

Given

Dividend = 125x^3 - 8

Divisor = 5x - 2

Required

Determine the quotient

See attachment for complete process.

First, divide 125x^3 by 5x

\frac{125x^3}{5x} =25x^2

Write 25x^2 at the top

Multiply 5x - 2 by 25x^2

= 125x^3 - 50x^2

Subtract from 125x^3 - 8

i.e.

125x^3 - 8 - (125x^3 - 50x^2) = 50x^2 - 8

Step 2:

Divide 50x^2 by 5x

\frac{50x^2}{5x} = 10x

Write 10x at the top

Multiply 5x - 2 by 10x

= 50x^2 - 20x

Subtract from 50x^2 - 8

i.e.

50x^2 - 8 - (50x^2 - 20x) = 20x - 8

Step 3:

Divide 20x by 5x

\frac{20x}{5x} = 4

Write 4 at the top

Multiply 5x - 2 by 4

= 20x - 8

Subtract from 20x - 8

i.e.

20x - 8 - (20x - 8) = 0

Hence:

\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4

8 0
3 years ago
Please help me with this
horrorfan [7]

Answer:

\dfrac{4000\pi}{3} ft³

Step-by-step explanation:

First, let's figure out how to get the <em>volume </em>of a sphere from its <em>surface area</em>. If r is the radius of our sphere, then

The formula for a sphere's surface area is A = 4\pi r^2

The formula for a sphere's volume is V=\frac{4}{3}\pi r^3

So to get from area to volume, we have to <em>divide the area by 3 </em>and then <em>multiply it by r.</em> Mathematically:

V=\frac{A}{3}r

Before we solve for V though, we need to find the radius of our sphere. Thankfully, we're given the surface area - 400\pi ft² - so we can use the area formula to find that radius:

A=4\pi r^2=400\pi\\r^2=100\\r=10

And now that we have our radius, we can put it into our volume formula to find

V=\frac{A}{3} r=\frac{400\pi}{3}(10)=\frac{4000\pi}{3} ft³

4 0
3 years ago
The expression 1.7j-3.4 factored is?
marshall27 [118]
1.7(j-2)


Hope it helped :)
3 0
3 years ago
Whats the square root of -56
Mashutka [201]
The square root of -56 is 7.4833 (feel free to round it up to 7.5)

I hope this helps you!
4 0
3 years ago
Read 2 more answers
The mean preparation fee H&amp;R Block charged retail customers in 2012 was $183 (The Wall Street Journal, March 7, 2012). Use t
astraxan [27]

Answer:

a)0.6192

b)0.7422

c)0.8904

d)at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.

Step-by-step explanation:

Let z(p) be the z-statistic of the probability that the mean price for a sample is within the margin of error. Then

z(p)=\frac{ME*\sqrt{N}}{s } where

  • Me is the margin of error from the mean
  • s is the standard deviation of the population
  • N is the sample size

a.

z(p)=\frac{8*\sqrt{30}}{50 } ≈ 0.8764

by looking z-table corresponding p value is 1-0.3808=0.6192

b.

z(p)=\frac{8*\sqrt{50}}{50 } ≈ 1.1314

by looking z-table corresponding p value is 1-0.2578=0.7422

c.

z(p)=\frac{8*\sqrt{100}}{50 } ≈ 1.6

by looking z-table corresponding p value is 1-0.1096=0.8904

d.

Minimum required sample size for 0.95 probability is

N≥(\frac{z*s}{ME} )^2 where

  • N is the sample size
  • z is the corresponding z-score in 95% probability (1.96)
  • s is the standard deviation (50)
  • ME is the margin of error (8)

then N≥(\frac{1.96*50}{8} )^2 ≈150.6

Thus at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.

7 0
3 years ago
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