this is the question...plz hurry..thx

The cylinder express r in terms of V and H as:\(r = \sqrt{v/(\pi h)}\) in volume.

What is volume ?

Volume is the amount of space that an object or substance occupies in three-dimensional space. It is a physical quantity that is usually measured in cubic units, such as cubic meters or cubic feet.

For example, the volume of a rectangular box can be calculated by multiplying its length, width, and height. The volume of a sphere can be calculated using the formula \((4/3)\pi r^3\), where r is the radius of the sphere. The volume of a cylinder can be calculated using the formula \(\pi r^2h,\) where r is the radius of the circular base and h is the height of the cylinder.

According to the question:
To express r in terms of V and H, we can rearrange the formula for the volume of a cylinder as follows:

\(v = \pi r^2h\)

Dividing both sides by πh, we get:

\(r^2 = v/(\pi h)\)

Taking the square root of both sides, we get:

\(r = \sqrt{v/(\pi h)}\)

Therefore, r is expressed in terms of V and H as:

\(r = \sqrt{v/(\pi h)}\)

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The factor of decay in the function that represents the daily revenue of the store is 0.939.

The factor that represents decay is the factor that reduces the growth rate of revenue for this store. In the given function, the factor that represents decay would have a value that is less than one.

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Answer:

1

Step-by-step explanation:

|13 + 5| – |7 – 10| =1

Answer:

I18I-I-3I

18-3

15

Step-by-step explanation:

The correct statement of the hypotheses is option B: H0:π≥0.75 and H1:π<0.75.

In a hypothesis test problem, the null hypothesis (H0) represents the status quo or the default assumption, while the alternative hypothesis (H1) represents the claim or the research question that the investigator wants to test.

In this problem, the null hypothesis is that the population proportion (π) is greater than or equal to 0.75 (i.e., H0:π≥0.75). The alternative hypothesis is that the population proportion is less than 0.75 (i.e., H1:π<0.75), which is what we are testing for.

The p-value of 0.0735 represents the probability of obtaining a sample proportion as extreme as the one observed or more extreme, assuming that the null hypothesis is true. Since the p-value is less than the significance level (usually set at 0.05), we reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis. Therefore, the correct statement of the hypotheses is option B.

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Answer:

(6,-1)

Where the two liner lines intersect

Answer: $1.23

Step-by-step explanation: to find the cost of one pound we need to divide 6 pounds by how much it costs so, 6 ÷ 4.86= 1.23.

Answer:

Recipe 1: 1/2tbs of lemonade mix per cup of sparkling water

Recipe 2: 2/3tbs per cup

Recipe 3: 3/5tbs per cup

Recipe 4: 1/3tbs per cup

Step-by-step explanation:

To find the amount of lemonade mix per cup of sparkling water, we just need to divide the amount of lemonade mix in each recipe by its respective amount of sparkling water as this will give us the average amount per cup.

Recipe 1: 4 tbs lemonade mix, 12c sparkling water.

4/12 = 1/3, Recipe 1 requires 1/3 tablespoon per cup of sparkling water.

Recipe 2: 4tbs Lemonade, 6c water

4/6 = 2/3, Recipe 2 requires 2/3 tablespoon per cup of sparkling water.

Recipe 3: 3 tbs lemon, 5c water

Recipe 3 requires 3/5 tablespoon per cup of sparkling water.

Recipe 4: 1 tbs, 3c water

Recipe 4 requires 1/3 tablespoon per cup of sparkling water.

Hope this helped!

The cοmplete equatiοn fοr h(x) is h(x)=4

An expοnential functiοn is a mathematical functiοn οf the fοrm f(x) = a^x, where a is a cοnstant and x is the variable. The cοnstant a is called the base οf the expοnential functiοn, and it is typically a pοsitive real number. When a is greater than 1, the functiοn represents expοnential grοwth, while when a is between 0 and 1, the functiοn represents expοnential decay.

Expοnential functiοns have sοme special prοperties, such as the fact that the rate οf change οf the functiοn is prοpοrtiοnal tο its value. In οther wοrds, the larger the value οf the functiοn, the faster it grοws οr decays. Expοnential functiοns alsο have a hοrizοntal asymptοte at y = 0 when a is between 0 and 1, and nο hοrizοntal asymptοte when a is greater than 1.

Expοnential functiοns are widely used in mathematics, science, ecοnοmics, and engineering tο mοdel phenοmena that exhibit expοnential grοwth οr decay, such as pοpulatiοn grοwth, radiοactive decay, and cοmpοund interest. They are alsο used in prοbability theοry tο mοdel the distributiοn οf randοm variables, such as the expοnential distributiοn.

Tο cοmplete the equatiοn fοr h(x), we need tο find the values οf a and b in the expοnential functiοn that cοrrespοnd tο the given table οf values:

x | h(x)

0 | 10

1  | 10

2 | 10

3 | 4

4 | 4

5 | 4

Since the value of h(x) is constant (equal to 10) for x = 0, 1, and 2, we know that  \(b^0 = b^1 = b^2 = 1\), which implies that b = 1.

Substituting b = 1 into the exponential function, we have:

\(h(x) = a * 1^x = a\)

To find the value of a, we can use any of the given values of h(x) for which x > 2. For example, when x = 3, we have:

h(3) = 4 = a

Therefore, the complete equation for h(x) is:

\(h(x) = 4 * 1^x = 4\)

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Answer:

186.98

Step-by-step explanation:

The cost of gas is the cost per miles times the number of miles

1254 * .13

163.02

Subtract this from the amount in the bank account

350-163.02

186.98

So the value of the vector product 3C . (2A × B) = 1242.

Given that the vectors are,

A = 4 i + 3 j - 3 k

B = - 3 i + 2 j + 4 k

C = 8 i - 9 j

So, now calculating the required we get,

2A = 2 (4 i + 3 j - 3 k) = 8 i + 6 j - 6 k

3C = 3 (8 i - 9 j) = 24 i - 27 j

So, cross product is given by,

2A × B

= \(\left[\begin{array}{ccc}i&j&k\\8&6&-6\\-3&2&4\end{array}\right]\)

= [(6) (4) - (2) (- 6)] i - [(8) (4) - (- 3) (- 6)] j + [(8) (2) - (- 3) (6)] k

= [24 + 12] i - [32 - 18] j + [16 + 18] k

= 36 i - 14 j + 34 k

So the dot product is given by

3C . (2A × B) = (24 i - 27 j) . (36 i - 14 j + 34 k ) = 24 * 36 + (- 27) * (- 14) = 1242

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The question is not clear. The clear question will be -

"For the following three vectors, what is 3⋅C⋅(2A × B)?

A=4.00i+3.00j−3.00k; B=−3.00i+2.00j+4.00k; C=8.00i−9.00 j"

if its diameter is 6, then its radius is half that or 3.

\(\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h }{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=4 \end{cases}\implies V=\cfrac{\pi (3)^2(4)}{3}\implies V=12\pi \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a cone}\\\\ SA=\pi r\sqrt{r^2+h^2}+\pi r^2\qquad \implies \qquad SA=\pi (3)\sqrt{3^2+4^2}+\pi (3)^2 \\\\\\ 3\pi \sqrt{25}+9\pi \implies 3\pi (5)+9\pi \implies 15\pi +9\pi \implies 24\pi\)

Answer:

Part a-

area= 35

perimeter= 31

part b-

area= 25

perimeter= 18

Step-by-step explanation:

to find the area of a triangle you multiply 1/2Bh

so for part A:

A= \(\frac{1}{2}\) (10)(7) (honestly, you can just input the whole equation into the calculator)

A=(5)(7)

A= 35

and for part B:

A= \(\frac{1}{2}\)(8.34)(6)

A= (4.17)(6)

A=25.02 (or just 25)

THEN, to find the perimeter you add up all of the sides

so for part A:

P= 14 + 10 + 7 = 31

and for part B:

P= 4 \(\frac{1}{3}\) + 8 \(\frac{1}{3}\)  + 5 \(\frac{1}{3}\) = 17 \(\frac{3}{3}\) or 18

I hope this helps :)

This series is an arithmetic series, as the difference between consecutive terms is a constant, the series goes to infinity, meaning it has an infinite number of terms. Since the arithmetic series has an infinite number of terms, it is divergent. Therefore, the answer is DIVERGES.

To determine whether the series ∑n=1∞(4n+1)/(5−n) is convergent or divergent, we can use the ratio test:

lim┬(n→∞)⁡|((4(n+1)+1)/(5-(n+1)))/((4n+1)/(5-n))|

= lim┬(n→∞)⁡|(4n+5)(5-n)/(4n+1)(6-n)|

= 4/6 = 2/3

Since the limit is less than 1, the series is convergent by the ratio test.

To find the sum of the series, we can use the formula for the sum of a convergent geometric series:

S = a/(1-r)

where a is the first term and r is the common ratio. In this case, we have:

a = (4(1)+1)/(5-1) = 5/4

r = (4(2)+1)/(5-2) / (4(1)+1)/(5-1) = 13/6

Therefore, the sum of the series is:

S = (5/4) / (1-(13/6)) = 15/23
The given series is:

∑(4n + 15 - n) from n=1 to infinity.

First, simplify the series:

∑(3n + 15) from n=1 to infinity.

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listening to the audio and comparing the descriptions of the houses will help determine which house is the biggest. Analyze details related to size, square footage, number of floors, rooms, or yard size. After careful consideration, provide a clear answer indicating which house is the biggest.

The question asks which house is the biggest based on the audio provided. To answer this question, we need to listen to the audio and analyze the information provided.

First, listen to the audio and pay attention to any details mentioned about the houses. Look for information related to their size or any comparisons made.

Next, compare the descriptions of the houses to determine which one is the biggest. Listen for clues such as mentions of square footage, number of floors, or any explicit statements about size.

Consider any additional information that may be relevant.

For example, if one house is described as having more rooms or a larger yard, this could indicate that it is also the biggest.

After carefully analyzing the information in the audio, determine which house is the biggest and provide a clear answer. You may need to listen to the audio multiple times or take notes to ensure accuracy.

Remember to provide a well-structured response, including an introduction, step-by-step explanation, and a conclusion. Use simple language and avoid irrelevant details.

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According to the given triangle, the value of ∠AFE = 48 degrees. (option b).

Let's start by looking at the given figure. We have an equilateral triangle ABC, which means all its sides are equal, and all its angles are 60 degrees. We are also given a point D outside the triangle and an angle CAD of 18 degrees. This means that the angle CAD and the angle BAC are supplementary (they add up to 180 degrees), since they both share the side AC.

Now, we can apply the angle bisector theorem to the triangle AEB. This tells us that AE/EB = AD/DB. Since CD = BE and triangle ADE is congruent to triangle BDC, we can say that

AD/DB = AE/EC = (AE + EC)/EC = AC/EC.

Therefore,

=> AE/EC = AC/EC - 1 = (2 cos 18 - 1)/sin 18.

Solving for sin ∠AFE, we get sin

∠AFE = (sin 12)(sin (42 - x))/sin (126 - x)(sin (60 - x)).

Taking the inverse sine of this value, we get

∠AFE = 48 degrees.

Therefore, the answer is option B, 48 degrees.

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Answer: You need to increase the terms of one or both fractions so both fractions have the same dominator

Step-by-step explanation:

A easiest way to do this is to use the "cross-multiplication"

Cross-multiplication: Cross-multiply the two fractions and create two fractions that have a common denominator

You can also search on yt a tutorial step by step

Answer:

1) y=4

2) y=7

3) x=6

Step-by-step explanation:

to get y, divide x by 2. to get x, multiply y by 2

Answer: Ashley hit the softball farther.

Step-by-step explanation: Ashley hit the softball farther, since her distance of 65 meters is greater than Nicole's distance of 6,700 centimeters.To compare these distances, we need to convert Nicole's distance from centimeters to meters, since Ashley's distance is given in meters.To do this, we can divide Nicole's distance by 100, since there are 100 centimeters in a meter:6700 cm / 100 cm/m = 67 mTherefore, Ashley hit the softball 65 meters, which is less than the 67 meters that Nicole hit it. This means that Ashley hit the softball farther.

The amount of 20% and 50% solution that Samantha needs to mix is 70 milliliters and 30 milliliters respectively.

Let the amount of 20% solution that Samantha needs to mix be x millileters.

Therefore, the amount of 50% solution Samantha needs to mix will be (100 - x) millileters.

According to the question, Samantha needs to create 100 millileters of a 29% solution.

The expression below can be used to calculate the volume of the mixture obtained after mixing x milliliters of the 20% solution and (100 - x) milliliters of the 50% solution:

0.20x + 0.50(100 - x) = 0.29(100)

Simplifying and solving for x:

0.20x + 50 - 0.50x = 29

x = (29 - 50) / (-0.30)

x = 70 milliliters

Therefore, the amount of 20% solution that Samantha needs to mix is 70 milliliters.

And, the amount of 50% solution that Samantha needs to mix is 30 milliliters.

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The null hypothesis (H0) in this case would be that the data analytics firm's practices did not have any effect on increasing voter turnout among registered Republicans. In other words, there is no difference in voter turnout before and after the candidate ran for office.

The alternative hypothesis (Ha) would be that the data analytics firm's practices were successful in increasing voter turnout among registered Republicans. This means that there is a difference in voter turnout before and after the candidate ran for office, and this difference can be attributed to the firm's practices.

To summarize:
Null hypothesis (H0): The data analytics firm's practices did not have any effect on increasing voter turnout among registered Republicans.
Alternative hypothesis (Ha): The data analytics firm's practices were successful in increasing voter turnout among registered Republicans.

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Answer:

Hello friend xd

In conclusion, the container will not hold all the cars without breaking.

Dimitri has 50 toy cars. Each of his cars weighs 1.25 ounces.

Now, we need to determine if the container will hold all the cars without breaking if it can hold up to 60 ounces.

The total weight of the toy cars is given by 50 × 1.25 = 62.5 ounces.

Therefore, the container cannot hold all of the toy cars without breaking since the total weight of the toy cars is more than 60 ounces.

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z-value is -1.9599

To find the value z such that the area to the left of z under the standard normal curve is 0.025, you can use the qnorm() function in R as follows:

The output will be the z-value you are looking for. To round your answer to 4 digits after the decimal point, you can use the round() function in R:

The output will be the rounded z-value, which should be approximately -1.9599.

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Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.

Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.

Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.

To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.

If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.

The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.

These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.

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Answer:

12 x -6 is -72 and -6 + 12 is 6 so 12 and -6 is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Equations to check:

The 2 numbers that add up to 6, but multiply to -72 are - 6 and 12.

Brainliest please.

Answer:

$42.88

Step-by-step explanation:

Let's create a proportion using the following setup:

cost/pounds=cost/pounds

We know that it costs $20.42 for a 10 pound turkey.

$20.42/10 pounds= cost/pounds

We don't know how much a 21 pound turkey costs, so we can say that it costs $x for a 21 pound turkey.

$20.42/ 10 pounds= $x/ 21 pounds

20.42/10=x/21

We want to find x, by getting x by itself.

x is being divided by 21. The inverse of division is multiplication. Multiply both sides by 21.

21*(20.42/10)=(x/21)*21

21* 20.42/10=x

21*2.042=x

42.882=x

Round to the nearest cent, or hundredth.

42.88=x

x= $42.88

A 21 pound turkey costs $42.88

Answer:

A

Step-by-step explanation:

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