The volume of a cylinder is 8T cubic centimeters. The
radius and the height are equal. What is radius of the
cylinder? Explain how you know.

Answer:

Step-by-step explanation:

6 rectangles.

2 act as the top and bottom

Answer:

C and D

..............................

Step-by-step explanation:

correct

A higher value of α in first-order single exponential smoothing dampens out initial errors more quickly compared to a lower value of α. For α = 0.1: F8 ≈ 15.22 , For α = 0.6: F8 ≈ 19.96.

To demonstrate how a high value of α dampens out initial errors more quickly than a low value, we can calculate the forecasts using first-order single exponential smoothing for both α = 0.1 and α = 0.6.

The forecast at time t (Ft) is calculated using the following formula:

\(\[ F_t = \alpha \cdot D_t + (1-\alpha) \cdot F_{t-1} \]\)

Given the data Dt = 20 for t = 1, 2, 3, ..., 8, and an initial condition of F1 = 10, we can calculate the forecasts for both α = 0.1 and α = 0.6.

For α = 0.1:

- F1 = 10 (given)

- F2 = 0.1 * D1 + (1 - 0.1) * F1

= 0.1 * 20 + 0.9 * 10

= 2 + 9

= 11

- F3 = 0.1 * D2 + (1 - 0.1)

* F2 = 0.1 * 20 + 0.9

* 11 = 2 + 9.9

      = 11.9

- F4 = 0.1 * D3 + (1 - 0.1)

* F3 = 0.1 * 20 + 0.9

* 11.9 = 2 + 10.71

        = 12.71

- F5 = 0.1 * D4 + (1 - 0.1)

* F4 = 0.1 * 20 + 0.9

* 12.71 = 2 + 11.439

         = 13.439

- F6 = 0.1 * D5 + (1 - 0.1)

* F5 = 0.1 * 20 + 0.9

* 13.439 = 2 + 12.0951

= 14.09514

- F7 = 0.1 * D6 + (1 - 0.1)

* F6 = 0.1 * 20 + 0.9

* 14.0951 = 2 + 12.68559

= 14.68559

- F8 = 0.1 * D7 + (1 - 0.1)

* F7 = 0.1 * 20 + 0.9

* 14.68559 = 2 + 13.217031

= 15.217031

For α = 0.6:

- F1 = 10 (given)

- F2 = 0.6 * D1 + (1 - 0.6)

* F1 = 0.6 * 20 + 0.4

* 10 = 12 + 4

= 16

- F3 = 0.6 * D2 + (1 - 0.6)

* F2 = 0.6 * 20 + 0.4

* 16 = 12 + 6.4

= 18.4

- F4 = 0.6 * D3 + (1 - 0.6)

* F3 = 0.6 * 20 + 0.4

* 18.4 = 12 + 7.36

= 19.36

- F5 = 0.6 * D4 + (1 - 0.6)

* F4 = 0.6 * 20 + 0.4

* 19.36 = 12 +7.744

= 19.744

- F6 = 0.6 * D5 + (1 - 0.6)

* F5 = 0.6 * 20 + 0.4

* 19.744 = 12 + 7.8976

= 19.8976

- F7 = 0.6 * D6 + (1 - 0.6)

* F6 = 0.6 * 20 + 0.4

* 19.8976 = 12 + 7.93856

= 19.93856

- F8 = 0.6 * D7 + (1 - 0.6)

* F7 = 0.6 * 20 + 0.4

* 19.93856 = 12 + 7.963424

= 19.963424

Comparing the forecasts for both α = 0.1 and α = 0.6, we can observe that the high value of α = 0.6 dampens out initial errors more quickly. For α = 0.1, the forecasts gradually approach the true values of 20, while for α = 0.6, the forecasts reach values closer to 20 at a faster rate.

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Answer:

Kaden had $17 at first

Step-by-step explanation:

Ben = x

Kaden = x - 10

x + 4

x - 10 + 4 = x -6

x - 6 = \(\frac{7}{9}\) x

9(x - 6) = 7x

9x - 54 = 7x

2x = 54

x = 27

x - 10 = 27 - 10 = 17

Answer:

Kaden had $31

Ben had $41

Step-by-step explanation:

k = b - 10

k + 4 = (7/9)(b+ 4)

Substitute for k = b - 10

(b - 10) + 4 = (7/9)(b+ 4)

b - 6 = (7/9)(b+ 4)

multiply by 9 to clear the fraction

9b - 54 = 7(b + 4)

Distribute

9b - 54 = 7b + 28

subtract 7b from both sides

2b - 54 = 28

Add 54 to both sides

2b = 82

Divide both sides by 2

b = 41

k = b - 10

k = 31

Answer:

4

Step-by-step explanation:

8x + 15 = 5.5x +25

so 2.5x =10

x=4

Answer:

1060

Step-by-step explanation:

12x85=1020+40=1060

Extra people required is 50.

Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Question 1 :

Number of associates = 30

Number of direct workers = 30 - 2 = 28

You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.

Direct rate = 150 units per hour

Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week

                                                            = 37.5 hours per week

Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units

28 people produce 5625 units in a week

Let x people produce 10,000 + 5625 = 15,625 units in a week

Using proportion,

28 : 5625 = x : 15,625

28 / 5625 = x / 15,625

x = (28 × 15,625) / 5625 = 77.78 ≈ 78

Extra people required = 78 - 28 = 50

Question 2 :

Number of sandwiches made in 10 minutes = 1

Number of sandwiches made in 10 hours = 60

5 workers are there. one worker makes 60/5 = 12 sandwiches

But Deli want number of sandwiches in 10 hours = 75

One worker should make 75/5 = 15 sandwiches instead of 12.

Number of sandwiches made in 8 minutes should be 1.

So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.

Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.

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Answer:

37 1/3 cm

Step-by-step explanation:

21 + 7 = 28

28 + 9 = 37

37 + 1/3 = 37 1/3

She uses 1/2 quart of yellow paint for every 9/2 quarts of blue paint. Then, she uses 1/2 quart of yellow paint for every 1/2 + 9/2 = 10/2 = 5 quart of paint.

We can use the next proportion:

Solving for x:

She uses 1/10 quart of yellow paint for every quart of paint

Answer:

E

Step-by-step explanation:

the steeper the slope the faster the something

The correct statement is: the volume of the cylinder is 8 cubic inches more than that of the cone.

The volume of cone (V) = 1/3 * πr²h

Volume of cylinder (V) = πr²h

Where, r is the radius of their bases.

The base area formula for the cone = πr²

Calculate the area of the base of the cone that has a radius (r) of 2.5 in:

Area of the base of the cone = π(2.5)² ≈ 19.6

The volume of the cone (V) = 1/3 * πr²h = 1/3 * π * 2.5² * 6.5

≈ 42.5 cubic inches

Volume of cylinder (V) = πr²h = π * 2² * 4

≈ 50.3 cubic inches

The difference in volume = 50.3  - 42.5

= 7.8 ≈ 8 cubic inches

Therefore, the only statement that is true is: the volume of the cylinder is 8 cubic inches more than that of the cone.

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Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x−5=2−4x(x−1)

Step 1: Simplify both sides of the equation.

−2x−5=−4x^2+4x+2

Step 2: Subtract -4x^2+4x+2 from both sides.

−2x−5−(−4x^2+4x+2)=−4x^2+4x+2−(−4x^2+4x+2)

4x^2−6x−7=0

For this equation: a=4, b=-6, c=-7

4x^2+−6x+−7=0

Step 3: Use quadratic formula with a=4, b=-6, c=-7.

x=−b±√b2−4ac/2a

x=−(−6)±√(−6)2−4(4)(−7)/2(4)

x=6±√148/8

The equation of each line given the y-intercept and x-intercept

5 and -4 is 4y- 20 = 5x.

The line has an x-intercept at x = -4 and y intercept at y = 5 this means that the line passes through the points(,0) and(,5).

Now we find the pitch m of the line passing through the points(,0) and(,5)(x-intercept).

The pitch of the line is

m = y2- y1/ x2- x1

= 5- 0/ 0-(- 4)

= 5/ 4

Point- pitch Formula y = m(x-x1)

where m is the pitch and( x, y) is the given point.

Now substituting the values

y- 0 = (5/4)( x-(- 4))

y = (5/4)( x 4)

4y- 20 = 5x

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The complete question :

Find the equation of the line that has an y intercept and x-intercept at

5 and -4.

​

To ensure that each of the three friends has a fair chance of being selected to drive first on their road trip, they can use the method of flipping a coin. Here's a step-by-step explanation:
1. Mark, Anthony, and Derek can gather together and agree to use a coin flip method to determine who will drive first.
2. They can designate one person to be the flipper, who will toss the coin into the air.
3. Before flipping the coin, they should establish what each side of the coin represents. For example, they can agree that heads means Mark drives first and tails means Anthony drives first.
4. The flipper then tosses the coin into the air, allowing it to spin and fall back down.
5. Once the coin lands, they can check the result and determine who will drive first based on the agreed-upon assignment for each side of the coin.
6. If Mark and Anthony are not selected to drive first, it automatically means that Derek will be the one to drive first.

Using the coin flip method ensures fairness because it provides an equal chance for each friend to be selected. It relies on chance rather than personal preferences or biases, making it an unbiased way to decide who will drive first on their road trip.

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Answer:

80%

Step-by-step explanation:

Since we're excluding hydrogen and helium, we are looking for the % of nitrogen and oxygen.

From the graph, we can see that we found 75% oxygen (blue).

We can also see that of nitrogen, green, we found 5%.

We simply need to add these two together.

75% + 5% = 80%

Answer: 80%

Step-by-step explanation:

division fractions that's how u will rewrite them

Answer: A and D

Step-by-step explanation:

if he earns $8 an hour and he got $168 and h= the hours then

h=8 x 21 = 168

Answer:

The other person is correct.

Step-by-step explanation:

The Solution.

The given number is

By fractional index law of indices, we have

This implies that:

Hence, the correct answer is: a = 3, b = 6, and c = 5.

Pseudocode algorithms are used as prototypes of an actual program.

The required pseudocode algorithm is as follows:

1. Start

2. Input n

3. Odd = 1

4. For i in range(n):

    4.1 Print Odd     4.2 Odd = Odd + 2

The pseudocode that prints the first n odd numbers starting from 1 is as follows:

1. Start

2. Input n

3. Odd = 1

4. For i in range(n):

    4.1 Print Odd     4.2 Odd = Odd + 2

The above pseudocodes would print the first n odd numbers starting from 1, given that n is the input

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Variability provides a quantitative measure of the differences between scores in a distribution and describes the degree to which the scores are spread out to clustered together. The purpose for measuring variability is to obtain an objective measure of how the scores are spread out in a distribution

Variability also measure how accurately individual score or sample represent the entire population

When the standard deviation is 0 , the scores have no variability.

Variability describes how far the data points are from each other and from the center of the distribution. In addition to measures of central tendency, measures of variability provide descriptive statistics that summarize the data.

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Answer:

35 as a fraction is 7/20

Step-by-step explanation:

Answer:

11/35

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side c

Using Pythagoras theorem we have

c² = b² + a²

where

c is the hypotenuse

So we have

\( {c}^{2} = {5}^{2} + {3}^{2} \\ c = \sqrt{ {5}^{2} + {3}^{2} } \\ c = \sqrt{ 25 + 9} \\ c = \sqrt{34} \: \: \: \: \: \: \: \: \\ = 5.83095189...\)

We have the final answer as

Hope this helps you

The essay will need to be in your own words of course, but the basic idea is to replace x with 0 and solve for y to get the y intercept. To get the x intercept, replace y with 0 and solve for x.

Here's an example

2x+5y = 10

Let's find the x intercept

2x+5y = 10

2x+5(0) = 10

2x = 10

x = 5 is the x intercept

Now we'll do the y intercept

2x+5y = 10

2(0)+5y = 10

5y = 10

y = 10/5

y = 2 is the y intercept

The x intercept is the location where the graph crosses the x axis. The y intercept is where the graph crosses the y axis.

Based on the given information, the estimate for the number of cells in a T75 flask can be calculated by comparing the number of cells in the picture to the field of view area and then scaling it up to the size of the T75 flask.

Given that there are 55 cells in the picture, we can use this information to estimate the density of cells in the field of view. The field of view has dimensions of 1.85 mm x 1.23 mm, which gives an area of 2.7095 square millimeters (\(mm^2\)). To calculate the cell density, we divide the number of cells (55) by the area (2.7095 \(mm^2\)), resulting in an approximate cell density of 20.3 cells per \(mm^2\).

Now, to estimate the number of cells in a T75 flask, we need to know the size of the flask's growth area. A T75 flask typically has a growth area of about 75 \(cm^2\). To convert this to \(mm^2\), we multiply by 100 to get 7500 \(mm^2\).

To estimate the number of cells in the T75 flask, we multiply the cell density (20.3 cells/\(mm^2\)) by the growth area of the flask (7500 \(mm^2\)). This calculation gives us an approximate estimate of 152,250 cells in the T75 flask. It's important to note that this is just an estimate, and actual cell counts may vary depending on various factors such as cell size, confluency, and experimental conditions.

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Answer:

See below!

Step-by-step explanation:

I don't think you included the entire question, but maybe you were just stuck on this part, so I'm happy to help!

You include variables in a math equation to give meaning to a word, phrase, or situation in a shortened way.

For example, if I say, "I run 2 miles every day. How many miles will I run in x days?", your equation should look like this:

miles=2x

Notice that the 2 is a number, because that is the one thing that we know for sure. We know, no matter what, I run 2 miles a day. However, we don't know for how many days. So, for this, we need to put something as a sort of placeholder until we are told how many days.

Variables can be any letter, from A-Z! It is reccomended to stay with letters that avoid s, and i(among others) to make sure that you are using letters that can't be mistaken as letter on accident. For example, s could look like 5. In some cases, i could look like 1.

For your question, you could use:

#of cars=x

#of trucks/vans=y

Answer: 0.12

Step-by-step explanation: Well since 5/5=1 and in this case 3/5 of 0.2 or

3/5 x 0.2 = 0.12miles of the bridge is finished. to check do 0.2*2/5 since 2/5+3/5=5/5 or the total 0.2miles. so 0.2*2/5 =0.8 and 0.8+0.12= 0.2

This is equivalent to 8.75 feet

====================================================

Explanation:

3 & 1/2 inches = 3.5 inches since 1/2 = 0.5

30 boards of this width total to 30*3.5 = 105 inches

This is equivalent to 105/12 = 8.75 feet. I'll leave the answer in inches since the original unit is inches. I would ask your teacher for further clarification.

There is sufficient evidence that the valve performs above the specifications.

Null Hypothesis (H0): The mean pressure of the valve is equal to 5.3 lbs/square inch

Alternative Hypothesis (H1): The mean pressure of the valve is greater than 5.3 lbs/square inch

To test whether the valve performs above the specifications, a hypothesis test can be used. The test statistic used will be a t-test since the sample size is below 30. The critical value at the 0.05 level is 1.645. The formula for the t-test is: t = (X-μ)/(s/√n) , where X is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the known values, the t-test is calculated as: t = (5.5-5.3)/(0.7/√100) = 2.571. Since this value is greater than the critical value at the 0.05 level (1.645), we can reject the null hypothesis and conclude that there is sufficient evidence that the valve performs above the specifications.

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Answer:

1 = 0

12x12 = 4

100=1

I think the last one is also 1

Step-by-step explanation: