The volume of a right cylinder is found by the formula V equals pi r squared h. Two cylinders both have a height of 10 centimeters. One has a volume of 2009.6 cubic centimeters. The other has a volume of 196.25 cubic centimeters. What is the radius of each cylinder? (Use 3.14 as an approximation of pi.)

Answers

Answer 1

The radii of the cylinders found using the formular for the volume of a cylinder, and the 2009.6 cubic centimeter and 196.25 cubic centimeter volumes of the cylinders, indicates;

The radius of the 2009.6 cm³ cylinder is 8 centimeters

The radius of the 196.25 cm³ cylinder is 2.5 centimeters

What is a cylinder?

A cylinder is a solid that has three dimensions, consisting of two circular, parallel bases that enclose a curved pipe like surface in between.

The volume of one cylinder = 2009.6 cubic centimeters

The volume of the other cylinder = 196.25 cubic centimeters

The height of each cylinder, h = 10 centimeters

The formula for finding the volume of a cylinder is; V = π·r²·h

Where;

r = The radius of the cylinder

h = The height of the cylinder

The formula for finding the volume of a cylinder indicates;

r² = V/(π·h)

r = √(V/(π·h))

The radius of the cylinder of volume 2009.6 cubic centimeters, r₁ is therefore;

r = √(2009.6/(3.14 × 10) = 8

The radius of the 2009.6 cubic centimeters volume cylinder is r₁ = 8 cm

The radius, of the 196.25 cubic centimeters cylinder, r₂, is therefore;

r₂ = √(196.25/(3.14×10)) = 2.5

The radius of the 196.25 cubic centimeter volume cylinder, r₂ = 2.5 cm

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Related Questions

Halp me this question

Halp me this question

Answers

Answer:

3 + 7 = 10

Step-by-step explanation:

I hope this answers your question. :)

Answer: 3+7=10

Step-by-step explanation:

maybe this is it but this question is really unclear

rotate point x (0,0)) 270 degrees clockwise about the origin then T<3,5>

Answers

here this probally will help

rotate point x (0,0)) 270 degrees clockwise about the origin then T&lt;3,5&gt;
rotate point x (0,0)) 270 degrees clockwise about the origin then T&lt;3,5&gt;

Answer:

5, 3

Step-by-step explanation:

Solve the system by substitution.
y = 8x +6
10x - 5y = 30

Answers

x = -2 and y = -10 is the solution of the equations y = 8x +6 and 10x - 5y = 30.

What is Substitution method to solve equations?

The method of substitution involves three steps: Solve one equation for one of the variables. Substitute (plug-in) this expression into the other equation and solve. Resubstitute the value into the original equation to find the corresponding variable. he substitution method is the algebraic method to solve simultaneous linear equations.

Given Equations :

y = 8x +6

10x - 5y = 30

A) Solve equation [1] for the variable  y

    [1]    y = 8x + 6

B)  Plug this in for variable  y  in equation [2]

  [2]    -5•(8x+6) + 10x = 30

  [2]     - 30x = 60

C)  Solve equation [2] for the variable  x

  [2]    30x = - 60

  [2]    x = - 2

D)  By now we know this much :

   y = 8x+6

   x = -2

E)  Use the  x  value to solve for  y      y = 8(-2)+6 = -10

Solution : {y,x} = {-10,-2}

Hence , x = -2 and y = -10 is the solution of the equations y = 8x +6 and 10x - 5y = 30.

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N a science lab, a number of rock samples are weighed. if the scientist finds one of the rocks to weigh 6 pounds and this is 47.5% of the total weight of all of the rocks, what is the weight of all of the rocks? if necessary, round your answer to the nearest tenth.

Answers

Answer:

  12.6 pounds

Step-by-step explanation:

You want to find the total weight of rocks when one 6-lb rock is 47.5% of the total weight.

Whole

If w represents the weight of all of the rocks, then the fraction of that whole weight is ...

  6 = 47.5% × w

Dividing by the coefficient of w gives ...

  w = 6/0.475 ≈ 12.6

The weight of all of the rocks is about 12.6 pounds.

N a science lab, a number of rock samples are weighed. if the scientist finds one of the rocks to weigh

If x2+y2 = 12 and x2-y2=18, what is the value of x4-y4?

Answers

Answer:

Step-by-step explanation: add the equations

2x² = 30

x² = 15

y² = 12 - 15

    = -3

x4 -y4 = 15² - (-3)²

           = 216

There are 21 students in a classroom. the ratio of boys to girls is 2 boys to 5 girls. how many boys are in the classroom?

Answers

Answer:

6

Step-by-step explanation:

The ratio of boys to girls is 2:5

let the number of boys be 2x -------(i)

and number of girls be 5x

and the total number of students is 21

therefore we know that..

2x+5x = 21

on solving for x,

7x=21

x= 21/7

x=3

now, by putting the value of x in (i),

2x = 2×3 = 6

therefore, there are 6 boys in the classroom.

you find the no. of girls similarly.

hope it helps !!...

PLEASE MARK BRAINLIEST ♡

A movie theater charges $6.00 for children's tickets, and $8.75 for adult tickets. If the
movie theater made $1297.50, and there were 175 total tickets sold, how many adults
and how many children attended the movie?

Answers

x = tickets used by adults.

(175 - x) 6 + x (8.75) = 1297.50
1050 - 6x + 8.75x = 1297.50
x = 90
y (children) = 175 - 90 = 85

I need answer please help

I need answer please help

Answers

Answer:

Correct option is the third option:

6*3 - 4+3^2

Third option

\( 6(3)-4+3^2 \)

Step-by-step explanation:

\(f(x) = 4 - {x}^{2} \\ \red{ \bold{ f(3) = 4 - {3}^{2} }} \\ \\

g(x) = 6x \\ \purple{ \bold{ g(3) = 6( 3)}} \\ \\

(g - f)(3) = g(3) - f(3) \\ (g - f)(3) = 6( 3) - ( 4 - {3}^{2}) \\ \orange {\boxed {\bold {(g - f)(3) = 6( 3) - 4 + {3}^{2}}}} \\ \)

find the value of d.
1/2d - 5 -1/4d = 10

Answers

d=60. multiply both sides of the equation by 4 since it’s a factor, giving you 2d-20-d=40. since there are like terms with d, collect them to get d-20=40 and move 20 to the right and change it’s sign. that will give you d=40+20, then calculate to get d=60. hope this helped! :)

What is the value of x?
(See attached image for details.)



Enter your answer in the box.

x = ...°

What is the value of x?(See attached image for details.)Enter your answer in the box.x = ...

Answers

Answer:

x = 55°

Step-by-step explanation:

Hello!

The sum of angles in a triangle is 180°.

To solve for x, we have to subtract the given angles from 180°.

Solve for x180° = ∠1 + ∠2 + ∠x180° = 75° + 50° + x°180° - 75° - 50° = x°55° = x°

The value of x is 55°.

Angle sum property of a triangle

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

∠A + ∠B + ∠C = 180°

∠A = ?∠B = 75°∠C = 50°

We need to find the value of ∠A

According to the angle sum property of a triangle

∠A + ∠B + ∠C = 180°

∠A + 75° + 50° = 180°

∠A + 125° = 180°

∠A = 180° - 125°

∠A = 55°

Natalie is making bags of trail mix for hiking club she sill use 20 ounces of walnuts 10.1 ounces of almonds and 15.4 ounces of cashews this amount makes 25 bags trail mix how many ounces are in each bag

Answers

Answer:

1.82

Step-by-step explanation:

If you add all the ounces together and divide by 25, you get 1.82. Hope this helps :D

Answer:

1.82

Step-by-step explanation:

Based on a poll conducted by the Centers for Disease Control, 862 of 1013 randomly selected adults said that they always wear seat belts. Construct and interpret a 95% confidence interval for the proportion of adults who always wear seat belts.

Answers

The confidence interval is  0.028, 0.872

Given

862 of 1013 randomly selected adults  wear seat belts.

The 95% confidence interval for the proportion of adults who always wear seat belts.

What is confidence interval?

A Confidence Interval is defined as a range of values we are sure our true value lies within it.

What is 95% confidence interval?

A 95% confidence interval is defined as that if we take 100 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value.

= 862/1013 = 0.85

At a 95% confidence interval ,the critical value is \(z_{0.025} = 1.96\)

The 95% confidence interval for proportion is

\(\widehat p +/- z0.025 * sqrt(\widehat p * (1 - \widehat p)/n)\)

\(= 0.85 +/- 1.96 * sqrt(0.85 * (1 - 0.85)/1013)\)

\(= 0.85 +/- 0.022\)

= 0.028, 0.872

The sample should use at least 10 successes and 10 failures.

\(n * \widehat p = 1013 * 0.85 = 861 > 10\)

\(n * (1 - \widehat p) = 1013 * 0.15 = 152 > 10\)

As the sample size is larger, we can use an approximate formula for the standard error.

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Liz is watching a film in the cinema the film started at 14:30 the film is 105 minutes long when the film ends liz takes 20 minutes to get to the bus stop does she get to the bus stop in time to make it to the bus

Answers

Answer:

Step-by-step explanation:

can someone please explain this to me? multiple choice TY

Which phrases can be used to represent the inequality? Check all that apply.
One-half + k greater-than 18
The sum of one-half and a number is more than eighteen.
The sum of one-half and a number is greater than eighteen.
The sum of one-half and a number is below eighteen.
The sum of one-half and a number is above eighteen.
The sum of one half and a number is less than eighteen.

Answers

Answer:

OKay so one-half + k greater-than 8 is the same thing as 1/2 + k > 18.  The correct answer for this is  ¨The sum of one-half and a number is greater than eighteen.¨ This is because 1/2 and k are added together hence the word sum. Furthermore, ¨>¨ means greater than.

Step-by-step explanation:

Hope this helps, have an Amazing day!

a company manufacturers soda cans with a diameter of 52 millimeters. in a sample of 12 cans, the standard deviation was 2.3 millimeters. what would be the 96% confidence interval for these cans?

Answers

The 96 % confidence interval for the cans, given the diameter and standard deviation, is (50.45, 53.55).

How to find the confidence interval ?

The 96% confidence interval for the mean diameter of soda cans manufactured by the company can be calculated using the following formula:

= Mean ± (critical value x standard deviation / square root of sample size)

The critical value for a 96 % confidence interval is 2. 33 so the lower bound of the interval is:

= 52 - ( 2.33 x 2. 3 / √12 )

= 50. 45

The upper bound of the interval is:

= 52 + ( 2.33 x 2. 3 / √12 )

= 53. 55

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Find the H.C.F. of 567 and 255 using Euclid’s division lemma.

Answers

Step-by-step explanation:

To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:

Step 1: Apply Euclid's division lemma:

Divide the larger number, 567, by the smaller number, 255, and find the remainder.

567 ÷ 255 = 2 remainder 57

Step 2: Apply Euclid's division lemma again:

Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.

255 ÷ 57 = 4 remainder 27

Step 3: Repeat the process:

Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.

57 ÷ 27 = 2 remainder 3

Step 4: Continue until we obtain a remainder of 0:

Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.

27 ÷ 3 = 9 remainder 0

Since we have obtained a remainder of 0, the process ends here.

Step 5: The H.C.F. is the last non-zero remainder:

The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.

Therefore, the H.C.F. of 567 and 255 is 3.

Laligurash suppliers sold construction materials of Rs. 2,00,000) to Himchuli suppliers making 20% profit and adding 13% VAT. Himchuli suppliers spent Rs. 6,000 for transportation cost and made 10% profit on the purchased price excluding VAT and levied local tax Rs. 5,000 and sold to constructor. What VAT amount should be paid by the contractor?​

35750 should be the answer but how?

Answers

The VAT amount that should be paid by the contractor is Rs. 19,000.

To calculate the VAT amount that should be paid by the contractor, we need to follow the given information and calculate the necessary values step by step.

Laligurash suppliers sold construction materials worth Rs. 2,00,000 to Himchuli suppliers, making a 20% profit and adding 13% VAT.

Profit made by Laligurash suppliers = 20% of Rs. 2,00,000 = Rs. 40,000

Total amount paid by Himchuli suppliers to Laligurash suppliers = Rs. 2,00,000 + Rs. 40,000 = Rs. 2,40,000

VAT amount on the purchase for Himchuli suppliers = 13% of Rs. 2,40,000 = Rs. 31,200

Himchuli suppliers spent Rs. 6,000 for transportation cost and made a 10% profit on the purchased price (excluding VAT).

Profit made by Himchuli suppliers (excluding VAT) = 10% of Rs. 2,40,000 = Rs. 24,000

Total cost incurred by Himchuli suppliers = Rs. 2,40,000 + Rs. 6,000 = Rs. 2,46,000

Total selling price by Himchuli suppliers to the constructor = Rs. 2,46,000 + Rs. 24,000 = Rs. 2,70,000

Himchuli suppliers levied a local tax of Rs. 5,000.

To calculate the VAT amount that should be paid by the contractor, we subtract all the costs and taxes from the selling price:

VAT amount for the contractor = Selling price - (Total cost + Local tax)

= Rs. 2,70,000 - (Rs. 2,46,000 + Rs. 5,000)

= Rs. 19,000

Therefore, the VAT amount that should be paid by the contractor is Rs. 19,000.

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Mr. Twyford drove 200 miles in 4 hours. At this rate, how long would it take him to drive 350 miles?

Answers

7 hours to drive 350 miles

if disposable income is 4,000, consumption is 3,500, government purchases is 1,000, and taxes minus transfers are 800, national saving is equal to: a. 300 b. 500 c. 700 d. 1,000

Answers

The disposable income is 4,000, consumption is 3,500, government purchases is 1,000, and taxes minus transfers are 800, national saving is equal to. Therefore, S = 4,000 - 3,500 - 1,000 = 500.Hence, option b is correct.

National savings (S) can be calculated as: S = Y - C - G, where Y is income, C is consumption, and G is government purchases.

To determine S, we must first calculate Y.Y = C + I + G + NX, where I is investment, and NX is net exports.

The formula for calculating national savings is as follows: National savings (S) = Y - C - G

The following is a numerical representation of the above data:Y = C + I + G + NX = 3,500 + I + 1,000 + NX

Disposable income is 4,000, while taxes minus transfers are 800. Therefore, Y + TR - T = C + S.

Now, let's compute this value.

Substitute the given values in the equation4,000 + TR - 800 - T = 3,500 + S600 - T = S + 3500 - 1000S = 500

Substitute the value of S in the formula:S = Y - C - G

Therefore, S = 4,000 - 3,500 - 1,000 = 500Hence, option b is correct.

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The content dimension of a message deals with the _____ of a message, while the relational dimension of a message deals with the _____ of a message.

Answers

The content dimension of a message deals with the what of a message, while the relational dimension of a message deals with the how of a message is the correct answer.

Content dimensions is a generic concept to have multiple variants of a content node. It involves the information being explicitly discussed. The content repository supports any number of dimensions. The content dimension is the meaning of the actual message itself.

"Relational dimension of communication is a concept in which we have similar weight and impact as that of the message. This concept deals with the quality or nature of the relationships and networks."

Hence we can conclude that the content dimension of a message deals with the what of a message, while the relational dimension of a message deals with the how of a message is the correct answer.

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Calculate log4 57 to the nearest thousandth.
A. 2.916
B. 3.505
C. 3.682
D. 3.869

Answers

The result is consistent with the previous calculation, and option C, 3.682, is the correct answer.

To calculate log4 57 to the nearest thousandth, we can use a scientific calculator or a logarithmic table.

Using a calculator, we can find the logarithm of 57 to the base 4 directly:

log4 57 ≈ 3.682

Therefore, the correct answer is option C: 3.682.

If you prefer to verify the result using logarithmic properties, you can do so as follows:

Let's assume log4 57 = x. This means \(4^x\) = 57.

Taking the logarithm of both sides with base 10:

log (\(4^x\)) = log 57

Using the logarithmic property log (\(a^b\)) = b \(\times\) log a:

x \(\times\) log 4 = log 57

Dividing both sides by log 4:

x = log 57 / log 4

Using a calculator to evaluate the logarithms:

x ≈ 3.682

Thus, the result is consistent with the previous calculation, and option C, 3.682, is the correct answer.

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(CO7) An advocacy group claims that the mean braking distance of a certain type of tire is 75 feet when the car is going 40 miles per hour. In a test of 45 of these tires, the braking distance has a mean of 78 and a standard deviation of 5.9 feet. Find the standardized test statistic and the corresponding p-value.
z-test statistic = -3.41, p-value = 0.0003
z-test statistic = 3.41, p-value = 0.0003
z-test statistic = 3.41, p-value = 0.0006
z-test statistic = -3.41, p-value = 0.0003

Answers

The correct answer is: z-test statistic = 3.41, p-value = 0.0003. To find the standardized test statistic (z-test statistic) and corresponding p-value, we will use the following formula: z = (sample mean - hypothesized mean) / (standard deviation / sqrt(sample size))


To find the standardized test statistic, we use the formula:

z = (sample mean - hypothesized mean) / (standard deviation / sqrt(sample size))

Plugging in the values given, we get:

z = (78 - 75) / (5.9 / sqrt(45))
z = 3.41

To find the corresponding p-value, we can use a standard normal distribution table or calculator. The p-value represents the probability of getting a z-score as extreme or more extreme than the one we calculated. Since our z-score is positive, we are interested in the area to the right of it on the standard normal distribution. This gives us a p-value of 0.0003.

Therefore, the correct answer is: z-test statistic = 3.41, p-value = 0.0003.
To find the standardized test statistic (z-test statistic) and corresponding p-value, we will use the following formula:

z = (sample mean - hypothesized mean) / (standard deviation / sqrt(sample size))

Plugging in the given values:

z = (78 - 75) / (5.9 / sqrt(45))

z = 3 / (5.9 / 6.708)

z = 3 / 0.880

z ≈ 3.41

Using a standard normal distribution table or a calculator, we find the area to the right of the z-score (since we're testing if the braking distance is greater than the hypothesized mean):

p-value ≈ 0.0003

Therefore, the correct answer is:

z-test statistic = 3.41, p-value = 0.0003

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Matthew scored 84 points in the first 6 games of the basketball season. How many points per game has Matthew scored?​

Answers

Answer:

He scored 14 points per game.

84/6

Step-by-step explanation:

Good luck!

Answer:

14

Step-by-step explanation:

To find the unit rate for the question you have to divide 84 by 6

HELP ASAP PLS AMD THANK YOU

HELP ASAP PLS AMD THANK YOU

Answers

The answer is B !!!!!!


Find the linear function with the following properties. f(−5)=0
Slope of f=−4

Answers

The linear function of the properties is f(x) = -4x + 5

What is linear function?

A linear function is defined as a function that has either one or two variables without exponents. It is a function that graphs to the straight line.

Example of linear function includes y = 5x +6 , y = 20x + 7.

A linear equation is an algebraic equation of the form y=mx+b. Where m is the slope and b is the y intercept

The y intercept of f(-5) = 0 is 5 using the slope-intercept form

slope of f = 4

Therefore f(x) = -4x + 5

Therefore the linear function of the properties is

f(x) = -4x + 5

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The graph shows a square root function. A curve starts on the y-axis in quadrant 4 and goes into quadrant 1. The curve opens down and to the right. Use what you know about domain to select all of the following functions that could be the one graphed.

Answers

Answer:

A and B are the answers on Edge.

Step-by-step explanation:

Answer:

Options A and B are correct!

Step-by-step explanation:

I just did them and got them correct.

[1/2 Points] DETAILS PREVIOUS ANSWERS SCALCET8 11.10.021. Find the Taylor series for f(x) centered at the given value of a- [Assume that has power series expansion Do not show that Rn(x) 0.] f(x) = In(x) , a = f(x) In(9)

Answers

The Taylor series of the function is the sum of derivatives of the function up to infinite.

The Taylor series for a function f(x) centered at a is given by:

f(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)^2/2! + f'''(a)(x-a)^3/3! + ...

To find the Taylor series for f(x) = In(x) centered at a = In(9), we can plug in the values into the formula above:

In(x) = In(9) + In'(9)(x-In(9)) + In''(9)(x-In(9))^2/2! + In'''(9)(x-In(9))^3/3! + ...

= In(9) + (1/9)(x-In(9)) - (1/81)(x-In(9))^2 + (1/729)(x-In(9))^3 + ...

This is the Taylor series for f(x) = In(x) centered at a = In(9).

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XY = 5.4cm,angle X = 30 degree,angle Y = 75 degree

Answers

Answer:

Please send full question. What to find in this question?

Answer:

XY = 5.4cm,angle X = 30 degree,angle Y = 75 degree.it is your answer.

XY = 5.4cm,angle X = 30 degree,angle Y = 75 degree

Sergio earned $350.40 after working 24 hours one week. If Sergio has the same hourly rate, how many hours will he need to work to earn $525.60?

Answers

Answer:

36 hours

Step-by-step explanation:

he earns 14.6 per hour

What is 5[cos(Pi/4) + I sin (pi/4)] raised to the 3rd power?

Answers

Answer: The answer is C on edge

Step-by-step explanation:

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