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3 years ago

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How is synthetic division and the remainder theorem the same? How is it different? In order to get credit for this discussion yo

u must use the RACE answer format. Restate the question 25 points Answer the question 25 points Cite your evidence (this is where you are using math work/theorems definitions to support your answer) 25 points Explain tie everything together and explain how your evidence supports your answer. 25 points

1 answer:

daser333 [38]3 years ago

7 0

Answer:

No

Step-by-step explanation:

No

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You have been asked to design a can shaped like right circular cylinder that can hold a volume of 432π-cm3. What dimensions of t

rosijanka [135]

Answer:

$Height = 12cm$

$Radius = 6cm$

Step-by-step explanation:

Given

Represent volume with v, height with h and radius with r

$V = 432\pi$

Required

Determine the values of h and r that uses the least amount of material

Volume is calculated as:

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

Substitute 432π for V

$432\pi = \pi r^2h$

Divide through by π

$432 = r^2h$

Make h the subject:

$h = \frac{432}{r^2}$

Surface Area (A) of a cylinder is calculated as thus:

$A=2\pi rh+2\pi r^2$

Substitute $\frac{432}{r^2}$ for h in $A=2\pi rh+2\pi r^2$

$A=2\pi r(\frac{432}{r^2})+2\pi r^2$

$A=2\pi (\frac{432}{r})+2\pi r^2$

Factorize:

$A=2\pi (\frac{432}{r} + r^2)$

To minimize, we have to differentiate both sides and set $A' = 0$

$A'=2\pi (-\frac{432}{r^2} + 2r)$

Set $A' = 0$

$0=2\pi (-\frac{432}{r^2} + 2r)$

Divide through by $2\pi$

$0= -\frac{432}{r^2} + 2r$

$\frac{432}{r^2} = 2r$

Cross Multiply

$2r * r^2 = 432$

$2r^3 = 432$

Divide through by 2

$r^3 = 216$

Take cube roots of both sides

$r = \sqrt[3]{216}$

$r = 6$

Recall that:

$h = \frac{432}{r^2}$

$h = \frac{432}{6^2}$

$h = \frac{432}{36}$

$h = 12$

Hence, the dimension that requires the least amount of material is when

$Height = 12cm$

$Radius = 6cm$

3 0

3 years ago

PLEASE help!! :)

Dominik [7]

The correct answer is D. 11.1

7 0

3 years ago

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The results of a series of surveys revealed a population with a mean of 4.73 and a standard deviation of 0.865. If each survey h

satela [25.4K]

The given sample's confidence interval is 4.73 ± 0.1199, or from 4.61 to 4.85

<h3>What is the z score?</h3>

The z-score is a numerical assessment of a value's connection to the mean of a set of values, expressed in terms of standards from the mean, that is used in statistics.

Given data;

Mean = 4.73

Standard deviation = 0.865

Sample size = 200

interval = 95%

Confidence interval=?

95% of samples contain the population mean (μ) within the confidence interval of 4.73 ± 0.1199.

Hence, the sample's confidence interval is 4.73 ± 0.1199, from 4.61 to 4.85

To learn more about the Z score, refer to;

brainly.com/question/15016913

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2 years ago

Of all the houses on kermit lane, 20 have front porches, 20 have front yards, and 40 have back yards. how many houses are on ker

Daniel [21]

40 houses on Kermit lane

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3 years ago

Jenny has saved $600 from her summer job. During the school year, she withdraws $20 from her account every week for her daily ex

Anastasy [175]

Answer:

17

Step-by-step explanation:

i multiplied 17 by 20 and that gave me 340 which is greater than 300

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3 years ago

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