How does the radius and the height affect the area of the cylinder?

Answer:

18.00

Step-by-step explanation:

0.45 x 5 = 2.25

2.25 x 7 = 15.75

2.25 + 15.75 = 18.00

Answer:

\(\displaystyle F(v) = \frac{9}{5}(v-273)+32\)

Step-by-step explanation:

The temperature T(d) in degrees Fahrenheit in terms of Celsius d is given by:

\(\displaystyle T(d)=\frac{9}{5}d+32\)

And the temperature C(v) in degrees Celsius in terms of Kelvin v is given by:

\(C(v)=v-273\)

We want the formula for the temperature F(v) in degrees Fahrenheit in terms of the Kelvin temperature.

So, we can use a composition of functions. Since T(d) outputs the temperature in Fahrenheit and C(v) inputs the temperature in Kelvin, T(C(v)) will be the temperature in Fahrenheit given the temperature in Kelvin. So:

\(\displaystyle T(C(v))=\frac{9}{5}(C(v)))+32\)

Substitute:

\(\displaystyle T(C(v)) = F(v) = \frac{9}{5}(v-273)+32\)

Therefore:

\(\displaystyle F(v) = \frac{9}{5}(v-273)+32\)

Answer:

5/6 quarts of water

Step-by-step explanation:

2/3 same as 4/6. 4/6 + 1/6 = 5/6

Answer:

(g ⚬ f)(x)

Step-by-step explanation:

(g ⚬ f)(x)

By rearranging the equation, we get the equation of the line parallel to 5x + 4y = 24 that passes through the point (8, -5) as y = (-5/4)x + 5.To find the equation of a line parallel to another line, we need to determine the slope of the given line.

The equation of a line can be written in slope-intercept form as y = mx + b, where m represents the slope.

To determine the slope of the given line 5x + 4y = 24, we need to rearrange the equation in slope-intercept form. First, subtract 5x from both sides: 4y = -5x + 24. Next, divide all terms by 4: y = (-5/4)x + 6. Therefore, the slope of the given line is -5/4.

Since the line we are looking for is parallel to this line, it will also have a slope of -5/4. Now we can use the point-slope form of a line to find the equation. The point-slope form is given as y - y1 = m(x - x1), where (x1, y1) represents the given point (8, -5) and m is the slope.

Substituting the values into the equation, we have y - (-5) = (-5/4)(x - 8). Simplifying further, y + 5 = (-5/4)x + 10.

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Answer:

It can circulate about 14.814 cubic yards per minute.

Step-by-step explanation:

After considering the given data we come to the conclusion that the area to the left of z is 0.982, which is Option D. And the standard deviation of the given data is 87.6, which is Option C.


In order to  calculate the area to the left of z=2.09 we have to  apply the z-table:
1. Search for the row that starts with "2.0" in the leftmost column of the z-table.
2. Then for the column that starts with "0.09" in the top row of the z-table.
3. Here the value at the intersection of this row and column is 0.9821.
4. Finally round this value to three decimal places to get 0.982.
Hence , the area to the left of z=2.09 is 0.982.

Now for the second part of the question
Applying the given data set {10, 26, 84, 48, 250, 56}, we can evaluate the standard deviation as follows:

1. Evaluate the mean:
mean = (10 + 26 + 84 + 48 + 250 + 56) / 6 = 74
2. Applying subtraction of the mean from each data point:
{10 - 74, 26 - 74, 84 - 74, 48 - 74, 250 - 74, 56 - 74}
= {-64, -48, 10, -26, 176, -18}
3. Applying square of the result of step 2:
{(-64)², (-48)², (10)², (-26)², (176)², (-18)²}
= {4096, 2304, 100, 676, 30976, 324}
4. Exercising summation of the result of step 3:
4096 + 2304 + 100 + 676 + 30976 + 324
= 38176
5. Applying division of the result of step 4 by the number of data points (n):
standard deviation = √(38176 / (6 -1))
= √7625.2)
≈ 87.6.
Therefore, the answer is  87.6
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B, C, E

--5 + 0 does not equal zero

--any value tomes zero equals zero

--1.4 + 2.7 => 1.0 + 2.0 + 1.1 => 4.1

--2/3(5/9) = 10/27 not 7/12

--4(2/3) = 4.66666 and 5 - 1/3 = 4.66666

Answer:

B, C, and E

Step-by-step explanation:

A is incorrect because any number plus zero results in that number, not 0.

         In equation form: \(x + 0 = x\)

B is correct because any number multiplied by zero results in 0.

         In equation form: \(0(x) = 0\)

C is correct. We can split the added numbers into their decimal place values and add the values separately to get 4.1.

\(1.4 + 2.7 = (1 + 2) + (0.4 + 0.7) = 3 + 1.1 = 4.1\)

D is incorrect because when multiplying fractions, you simply multiply the numerator and denominator; however, this is not done here.

E is correct because 4 2/3 is one third less than 5; we can show this using improper fractions:

\(4 \dfrac{2}{3} = \dfrac{(4 \times 3) + 2}{3} = \dfrac{14}{3}\)                \(5 = \dfrac{5 \times 3}{3} = \dfrac{15}{3}\)

\(\dfrac{15}{3} - \dfrac{14}{3} = \dfrac{1}{3}\)

Answer:

On the number line integers from 16 to 24 is the answer.

Answer:

Step-by-step explanation:

Answer:

work is shown and pictured

Answer:

\(\frac{\sqrt[3]{18}}{3}\)

Step-by-step explanation:

Hello!

To rationalize the denominator, we have to remove of any square root or cube root (or any root) operations.

Since \(\sqrt[3]{3}\) is the same as \(3^{\frac13}\), we have to multiply the numerator and denominator  by \(3^{\frac23}\) or \(\sqrt[3]{3^2}\).

The radical in the numerator cannot be further simplified.

The answer is \(\frac{\sqrt[3]{18}}{3}\).

Given:

The function is,

To find the x intercept set y=0,

So, x-intercepts are ( 0 , 0 ), ( 3, 0 ).

Now to find y-intercepts set x=0.

y- intercept is ( 0 ,0 )

Answer: option e)

The guests in the birthday party ate 33 cookies.

We know that Mrs. Smith made 6 1/4 dozen cookies and there were 3 1/2 dozen cookies left.

Let's first convert these fractions to a common denominator of 4, so we can easily subtract them.

6 1/4 dozen = 25/4 dozen

3 1/2 dozen = 14/4 dozen

Now we can subtract the number of cookies that were left from the number of cookies that were made:

25/4 - 14/4 = 11/4 dozen

To find out how many cookies this represents, we need to multiply by the number of cookies in one dozen.

There are 12 cookies in one dozen, so:

11/4 x 12 = 33

Therefore, the guests ate 33 cookies.

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Answer:

13-(5*4)=?

13-20=-7

Step-by-step explanation:

the orginal number is 13 and accordin to the question it has stated that everysteps we have to take out 5 so what i did is that i multiplied 4 by 5 and i a going to subtract it from 13 which i have the result of -7.

Answer:

28

Step-by-step explanation:

first term(a)=13

difference(d)=5

t(4)=?

now,

t(4)=a+(n-1)d

=13+(4-1)5

=13+3×5

=28

The difference between the basketball team's and the football team's overall maximum points is 7,440.

A game is any mental or physical activity with rules that is done for enjoyment, such as physical activities like baseball and soccer, or board games such as chess and Monopoly, or card games, or electronic games

We learn the following from the issue:

F = (1/2)B

We are aware that there is a 20-game disparity between the number of hoops victories and the number of football victories, so:

B/2 - F/2 = 20

Substituting F = (1/2)B, we get:

B/2 - (1/2)B/2 = 20

Simplifying, we get:

B/4 = 20

Multiplying both sides by 4, we get:

B = 80

Similar to how 160 football games were played (since F = (1/2)B = 40), 80 of them had scores of 30 or greater. Therefore, the maximum possible points earned by the football team is 80 x 7 = 560.

The difference between 8000 and 560 is:

8000 - 560 = 7440

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The sample IQR is a biased estimator of the population IQR. The sample IQR appears to be centered below 16.

A sample that does not accurately reflect the true value of a population parameter is considered to be biased. Even though a biased sample may still be useful if its bias is known, an unbiased sample is one that exactly matches the true value of the population parameter.

Matilda wanted to determine if the sample interquartile range (IQR) was an unbiased estimator of the population IQR. She performed an experiment by placing ping pong balls numbered from 0 to 32 in a drum and thoroughly mixing them. The IQR of the population was determined to be 16.

She then randomly selected 5 balls, calculated their sample IQR, and repeated this process 50 times. The results were summarized in a dot plot, where each dot represented the sample IQR from a sample of 5 balls.

The sample IQR appeared to be biased as it consistently underestimated the population IQR. The dot plot showed that the sample IQR was centered below 16.

Therefore, it can be concluded that the sample IQR is a biased estimator of the population IQR.

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Answer: Sample IQR appears to be a biased estimator since it consistently underestimated the population IQR

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The 99% confidence interval for the population proportion p is (0.776, 0.824).

To find the 99% confidence interval for a proportion, we can use the formula:

CI = p^ ± z*(SE)

where p^ is the sample proportion, SE is the standard error, and z is the critical value from the standard normal distribution corresponding to the level of confidence.

For a 99% confidence interval, the critical value z is 2.576.

Substituting the given values into the formula, we have:

CI = 0.80 ± 2.576*(0.03/√200)

Simplifying this expression, we have:

CI = 0.80 ± 0.024

This means that we are 99% confident that the true population proportion falls between 0.776 and 0.824. We can interpret this interval as a range of plausible values for the population proportion, based on the sample data.

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After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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Answer:

36

Step-by-step explanation:

9514 1404 393

Answer:

  ∠Q = 89°

  ∠R = 123°

  ∠S = 91°

Step-by-step explanation:

It seems easiest to start by finding the measures of each of the arcs. The measure of an arc is double the measure of the inscribed angle it subtends.

  arc QRS = 2·∠P = 114°

So, ...

  arc QR = arc QRS - arc RS = 114° -41° = 73°

The total of the arcs around the circle is 360°, so ...

  arc PQ = 360° -arc PS -arc QRS

  arc PQ = 360° -137° -114° = 109°

__

  ∠Q = (1/2)(arc RS + arc PS) = (1/2)(41° +137°)

  ∠Q = 89°

__

  ∠R = (1/2)(arc PS +arc PQ) = (1/2)(137° +109°)

  ∠R = 123°

__

  ∠S = (1/2)(arc PQ +arc QR) = (1/2)(109° +73°)

  ∠S = 91°

Answer:

mDE = 9

Step-by-step explanation:

mCD and mDE must add up to mCE

Step 1: Set up equation

mCD + mDE = mCE

5x + 1 + 3x + 3 = 20

Step 2: Solve for x

Step 3: Find mDE

mDE = 3x + 3

mDE = 3(2) + 3

mDE = 6 + 3

mDE = 9

Answer:

22

Step-by-step explanation:

5.50/0.25 = 22

Answer:

22

Step-by-step explanation:

5.50 cups of sugar divided by the .25 cups needed for each batch gives you 22 :)

Answer:

7, 2, -3, -8

Step-by-step explanation:

y = -5x + 2  Substitute in -1 for x

y = -5(-1) + 2

y = 5 + 2

y = 7

y = -5x + 2  Substitute in 0 for x

y = -5(0) + 2

y = 0 + 2

y = 2

y = -5 + 2 substitutes in 1 for x

y = -5(1) + 2

y = -5 + 2

y = -3

y = -5x + 2  Substitute in 2 for x

y = -5(2) + 2

y = -10 + 2

y = -8

Helping in the name of Jesus.

The green line is located is \(\frac{1}{2}\)

Fraction - A fraction is numerical value which is a part of a whole number. It is created by dividing a whole into number of parts. There are three major types of fractions. They are proper fractions, improper fractions and mixed fractions.

Ken takes 5 steps to get to the spot where the green line falls, and the line falls exactly between the 3rd and 4th steps. Therefore, the green line is \(\frac{1}{2}\) of the way between the 3rd and 4th steps. So, the fraction that represents where the green line is located is \(\frac{1}{2}\)

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The fraction that represents where the green line is located is 7/12.

A division is an approach to communicating a piece of an entire or a proportion between two amounts.

It is addressed by two numbers isolated by a level line, where the number over the line is known as the numerator and the number beneath the line is known as the denominator.

The numerator addresses the piece of the entire or the amount being thought of, while the denominator addresses the absolute number of a balance of in the entire or the reference amount.

If the rug is exactly six steps wide, and Ken takes six steps to measure it, then each step represents 1/6th of the rug's width.

Since the green line falls right where the third and fourth steps meet, it is located between the 3rd and 4th step, which means it is on the 3.5th step.

Therefore, the fraction that represents where the green line is located is:

3.5 / 6

For simplifying this fraction, we can divide both the numerator and denominator by 0.5, which gives:

7/12

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Answer:

See below

Step-by-step explanation:

5 + 8 = 13  divisions      5/13  is one part the other is 8/13

5/13 * 520=200  

            the other  is    520-200= 320

i. Costco is more effective at collecting its accounts receivable faster.

ii. The trend in the accounts receivable turnover ratio and the number of days sales in accounts receivable for both companies is that they are both decreasing.

iii. Costco is more effective at collecting its accounts receivable faster than Sam's Club.

Accounts Receivable Turnover: Year ended in 2022: 10.2 times; Year ended in 2021: 10.1 times.

Number of Days Sales in Accounts Receivable: 2022: 38.6 days; 2021: 39.1 days.

Sam's Club

Accounts Receivable Turnover: Year ended in 2022: 8.6 times; Year ended in 2021: 8.5 times.

Number of Days Sales in Accounts Receivable: 2022: 45.2 days; 2021: 46.2 days.

This could be due to a number of factors, such as the economic environment, changes in customer payment habits, or changes in the way that the companies are managing their receivables.

This could be due to a number of factors, such as the companies' different business models, customer bases, or payment terms.

So, Costco is more effective at collecting its accounts receivable faster.

The trend in the accounts receivable turnover ratio and the number of days sales in accounts receivable for both companies is that they are both decreasing. Costco is more effective at collecting its accounts receivable faster than Sam's Club.

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Answer:

-10

Step-by-step explanation:

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Answer: $ 5.90 is the the cost of 2 panes of glass

In order to solve this we must divide the number of panes, by the cost spent on the panes. 20.65 divided by 7 is 2.95. This means that each pane is $ 2.95. If there are two panes that were also broken, we have to add 2.95 twice, which is $5.90. This means that the nursey owner must spend another $5.90 on two panes.

I hope this helps & Good Luck <3 !!!

Answer:

\(y =\frac{x}{4}\)

Step-by-step explanation:

We are given several functions, and we want to figure out which one is linear.

A linear function has both of its variables (x and y) with a power of 1. Variables with other powers do not mean that the function is linear.

Let's go through the list.

Starting with \(y=\frac{3}{x} -7\), we can see that x is in the denominator. If this is the case, it means that the power of x is -1.

Even though y has a power of 1, this is NOT linear, because x has a power of -1.

Now, with y=√x-2, this is also not linear. This is because √x = \(x^\frac{1}{2}\), even though y has a power of 1.

For x² - 1 = y, we can clearly see that x has a power of 2, while y has a power of 1. This means that the function is not linear.

This leaves us with \(y = \frac{x}{4}\). x is in a fraction, however it is not in the denominator. This means that the power of x in this function is 1. We can also see that the power of y in this function is 1.

This means that \(y=\frac{x}{4}\) is linear.