Find the volume of this sphere.
Use 3 for T
8 in
V ≈ [?]in³
V = πr3

Answers

Answer 1

The volume of this sphere is 1607. 68 in³

How to determine the volume

It is important to note that the formula that is used to calculate the volume of a sphere is expressed as;

V = 4/3 πr3

Given that the parameters are;

V is the volume of the sphereπ takes the constant value of 3.14r is the radius of the sphere

From the information given,

Substitute the values, we have;

Volume = 4/3 × 3.14 ×8³

Find the cube values, we get;

Volume = 4/3 × 3.14 × 512

Multiply the values

Volume = 2143. 57 in³

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Related Questions

what are some equivalent ways to express 14 - 8x + 5

Answers

The equivalent value of the expression are A = -8x + 19 , B = -6x - 2x + 19

Given data ,

Let the expression be represented as A

Now , the value of A is

A = 14 - 8x + 5

On simplifying , we get

A = -8x + 19

And , the equivalent values of the expression are

B = -6x - 2x + 19 = A

C = -8 ( x - 2 ) + 3

Hence , the expression is A = -8x + 19

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12
create
You are given an
image of a panda to
a custom shirt. The
original image is 9mm tall
and 16mm wide. You need
to enlarge the image by a
scale factor of 6. What is
the new height?
h
mm
=

Answers

Answer:

54 mm tall and 96 mm wide.

Step-by-step explanation:

Since our scale factor is 6, you simply multiply your given values by the scale factor.

9 × 6 = 54

16 × 6 = 96

10 minutes! help!
suppose f(x) is given by following graph​

Answers

Answer:

this is hard

Step-by-step explanation:

is it trigonometry?

solve 3(x+4)-11=28 please

Answers

Answer:

[tex]\huge\boxed{\sf x = 9}[/tex]

Step-by-step explanation:

Given equation:

3(x + 4) - 11 = 28

Add 28 to both sides

3(x + 4) = 28 + 11

3(x + 4) = 39

Distribute

3x + 12 = 39

Subtract 12 from both sides

3x = 39 - 12

3x = 27

Divide both sides by 3

x = 27/3

x = 9

[tex]\rule[225]{225}{2}[/tex]

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 22 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.

Answers

The measures of the three angles are 30°, 86° and 64°.

Given that, in a triangle the sum of the measures of the second and third angles is five times the measure of the first angle.

The third angle is 22 more than the second.

If x, y, and z represent the measures of the first, second, and third angles, respectively, we need to find the measure of the angles.

So,

y + z = 5x...........(i)

z - y = 22...........(ii)

x + y + z = 180...........(iii)

Use eq(i) in eq(ii)

x + 5x = 180

6x = 180

x = 30°

Put x = 30 in eq(iii)

z + y = 150.......(iv)

add eq(ii) and eq(iv)

2z = 172

z = 86°

Put the values of z and x in eq(iii)

30° + 86° + y = 180°

y = 64°

Hence, the measures of the three angles are 30°, 86° and 64°.

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Garnier's Opera House is a revival of the________style.

Romantic

Gothic

Renaissance

Baroque

Answers

Garnier's Opera House is a revival of the Gothic style.

What is Garnier's Opera House ?

The Palais Garnier usually referred to as the Garnier Opera House is a renowned opera house in Paris, France. Charles Garnier, a French architect, created the design which was finished in 1875.

The opera house is well-known for its spectacular Beaux-Arts and Gothic-inspired architecture as well as for its extensive history and connections to some of the most well-known composers and performers of the 19th and 20th centuries.

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A triangular prism with a base that is a triangle. The triangle has sides of 5 cm, 6 cm, 8 cm and a height of 4 cm that is perpendicular to the base of 5 cm. (area of a triangle is A = 1/2bh) The height of the triangular prism is 9 cm. SA =
cm2

Answers

The surface area of the triangular prism is 191 cm².

The surface area (SA) of a triangular prism is given by the formula:

SA = 2A + Ph

where A is the area of the base, P is the perimeter of the base, and h is the height of the prism.

First, we need to find the area of the triangular base.

Using the formula for the area of a triangle:

A = (1/2)bh = (1/2)(5 cm)(4 cm) = 10 square centimeter

Next, we need to find the perimeter of the base:

P = 5 cm + 6 cm + 8 cm = 19 cm

Now we can use the formula for the surface area of a triangular prism:

SA = 2A + Ph

= 2(10 cm²) + (19 cm)(9 cm)

= 20 cm²+ 171 cm²

= 191 cm²

Therefore, the surface area of the triangular prism is 191 cm².

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A club’s first meeting was attended by 31 people. The second meeting was attended by 3 times as many people as the first meeting. How many people attended the second meeting?

Answers

Answer:

31x3

Step-by-step explanation:

there was 93 people who attended the second meeting

After applying both of the following transformations, what is the coordinate of B' ? Translate (‒5, ‒3) and then reflect over the x-axis. Selected Answer: D. (‒1, 1) Answers: A. (1, 1) B. (1, ‒1) C. (‒1, ‒1) D. (‒1, 1)

Answers

The coordinate of B'  after the sequence of transformations is B' = (-6, 2)

What is the coordinate of B' ?

From the question, we have the following parameters that can be used in our computation:

B = (-1, 1)

The sequence of transformations is given as

Translate (‒5, ‒3) Reflect over the x-axis

When applied, we have

Translate (‒5, ‒3)

B = (-1 - 5, 1 - 3)

B = (-6, -2)

Reflect over the x-axis

B' = (-6, 2)

Hence, the image is B' = (-6, 2)

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An object has been heated to 135
degree Fahrenheit. After 2 minutes
it has cooled to 71 degrees. The
ambient temperature is 60 degrees.
Rounded to the nearest tenth, what
will the temperature of the object be
at the end of 5 minutes?
[?] degrees Fahrenheit
Entor

Answers

The temperature at the end of 5 minutes is given as 87.09 F

How to solve for temperature

71 = 60 + (135 - 60) * e^(-2k)

11 = 75 * e^(-2k)

e^(-2k) = 11/75

-2k = ln(11/75)

k = -0.5 * ln(11/75) ≈ 0.2036

Now we have the value of k, we can find the temperature of the object at the end of 5 minutes, T(5):

T(5) = 60 + (135 - 60) * e^(-0.2036 * 5)

T(5) = 60 + 75 * e^(-1.018)

T(5) ≈ 60 + 75 * 0.3612

T(5) ≈ 60 + 27.09

T(5) ≈ 87.09

The temperature at the end of 5 minutes is given as 87.09 F

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What is the percentage of people taking the test who score above 654 is ?

Answers

The percentage of people taking the test who score above 654 is 15.87%

Calculating the percentage of people taking the test

From the question, we have the following parameters that can be used in our computation:

Mean = 550

Standard deviation = 104

Score = above 654

The z-score is calculated as

z = (Score - Mean)/Standard deviation

Substitute the known values in the above equation, so, we have the following representation

z = (654 - 550)/104

Evaluate

z = 1

The percentage of people taking the test is then calculated as

P = p(z > 1)

So, we have

P = 0.15866

Express as percentage

P = 15.87%

Hence, the percentage is 15.87%

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4 yd
15 yd
8 yd
Surface Area =

Answers

The surface area of a rectangular prism of dimensions 4yd, 15 yd and 8 yd is given as follows:

S = 424 yd².

What is the surface area of a rectangular prism?

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.

The dimensions for this problem are given as follows:

4 yd, 15 yd and 8 yd.

Hence the surface area of the prism is given as follows:

S = 2 x (4 x 15 + 4 x 8 + 15 x 8)

S = 424 yd².

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please help. maths functions

Answers

The linear equations of the lines are y = 1/3x and y = 4x + 17, respectively

Calculating the linear equations

The parallel line

The equation is given a

x - 3y = 9

So, we have

3y = x - 9

y = x/3 - 3

Slope = 1/3

The slopes of parallel lines are equal

So, the slope of the required line is 1/3

The equation is then calculated as

y = mx + c

So, we have

y = 1/3x + c

Using the points, we have

2 = 1/3 * 6 + c

c = 0

So, we have

y = 1/3x

The perpendicular line

The equation is given a

y + 1/4x - 5 = 0

So, we have

y = -1/4x + 5

Slope = -1/4

The slopes of parallel lines are opposite reciprocals

So, the slope of the required line is 4

The equation is then calculated as

y = mx + c

So, we have

y = 4x + c

Using the points, we have

5 = 4(-3) + c

c = 17

So, we have

y = 4x + 17

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Suppose you want to buy a car. The dealer offers a financing package consisting of a 4.6% APR compounded monthly for a term of five years. Suppose that you want your monthly payments to be at most $499. What is the maximum amount that you should finance? (Show your work using the formula and Round your answer to the nearest dollar.)

Answers

The maximum amount that you should finance is $26701 (rounded to the nearest dollar).

We can use the formula for monthly payments on a loan:

PMT = (PV x r x (1 + r)ⁿ) / ((1 + r)ⁿ - 1)

where PMT is the monthly payment, PV is the principal amount (the amount financed), r is the monthly interest rate, and n is the total number of months.

We can rearrange this formula to solve for PV:

PMT = (PV x r x (1 + r)ⁿ) / ((1 + r)ⁿ - 1)

Substituting the given values:

PMT = $499

r = 4.6% / 12 = 0.0038333 (monthly interest rate)

n = 5 x 12 = 60 (total number of months)

We get:

PV = $499 x ((1 + 0.0038333)⁶⁰- 1) / (0.0038333 x (1 + 0.0038333)⁶⁰)

PV = $26700.902

So the maximum amount that you should finance is $26701 (rounded to the nearest dollar).

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find the value of x'it the mean ofgiven data is 22. Income (In Rs.) : 15 20 ×,30,35​

Answers

ans.= 10

we know that

formula for mean =  dividing the sum of all values in a data set by the number of values.

22 = 15+20+X+30+35/5

solving x

we x =10

hence the x = 10

Students are making lemonade from a powdered lemon drink mix. Cameron mixes 3 cups of water and 2 cups of powdered lemon mix. Sophie mixes 9 cups of water and 4 cups of powdered lemon mix. Use Cameron and Sophie’s percent of water to determine whose mix will be more watery. Cameron percent of water (to nearest whole number) = % Sophie percent of water (to nearest whole number) = % Cameron’s lemonade will be more watery. Sophie’s lemonade will be more watery. The two lemonades will be equally watery.

Answers

Answer:

To determine whose mix will be more watery, we need to calculate the percent of water in each mix.

For Cameron's mix, the total amount of liquid (water + lemon mix) is 3 cups + 2 cups = 5 cups. The percent of water in the mix is (3/5) x 100% = 60%.

For Sophie's mix, the total amount of liquid is 9 cups + 4 cups = 13 cups. The percent of water in the mix is (9/13) x 100% ≈ 69%.

Therefore, Sophie's lemonade will be more watery.

Answer:Sophie mix is more watery

Step-by-step explanation:Cameron—->3 cups water and 2 cups lemon

Sophie——>9 cups water and 4 cups lemon

Cameron = 3/(3+2)*100=60%

Sophie=9/9+4*100=9.*7.5=69.2%

Hence Sophie uses more water

Convert the angle 4.5 4.5 radians to degrees, rounding to the nearest 10th.

Answers

4.5 radians when rounded off to the nearest tenth approximates a degree angle of 257.83.

How to convert the angles to radians

To turn an angle from radians into degrees, is achieved relying on the following established formula:

Angle in Degrees = Angle in Radians * (180 / π)

where

π (pi) is approximately equal to 3.14159.

For conversion of 4.5 radians we have  

Angle in Degrees = Angle in Radians * (180 / π)

substituting to the above formula

Angle in Degrees = 4.5 * (180 / π)

use a calculator to get the value of pi:

Angle in Degrees = 4.5 * (180 / π)

Angle in Degrees ≈ 257.821 (rounded two decimal places)

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Solve the system.
x + 7y-z = 49
2x - 5y + 2z = -28
x-6y=-32

Answers

The values of x, y and z in the given simultaneous equation is:

x = 4

y = 6

z = -3

What is the solution to the simultaneous equation?

The 3 simultaneous equations are given as:

x + 7y - z = 49

2x - 5y + 2z = -28

x - 6y=-32

Rearranging the first equation  gives:

x = 49 - 7y + z

2x - 5y + 2z = -28

x - 6y = -32

Substitute 49 - 7y + z into equations 2 and 3 to get:

2(49 - 7y + z) - 5y + 2z = -28

49 - 7y + z - 6y = -32

Convert the equation in terms of u and solving simultaneously gives:

y = 6 and z = -3

Thus:

x = 49 - 7(6) + (-3)

x = 4

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The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 5.9% per hour.
How many hours does it take for the size of the sample to double?
Note: This is a continuous exponential growth model.
Do not round any intermediate computations, and round your answer to the nearest hundredth.

Answers

Answer:

11.72 hours

Step-by-step explanation:

In a continuous exponential growth model, the formula for the size of the population at time t is given by:

N(t) = N₀ * e^(rt)

where N₀ is the initial population size, r is the growth rate parameter, and e is the mathematical constant approximately equal to 2.71828.

To find the time it takes for the population size to double, we can set N(t) equal to 2N₀ and solve for t:

2N₀ = N₀ * e^(rt)

Dividing both sides by N₀:

2 = e^(rt)

Taking the natural logarithm of both sides:

ln(2) = rt * ln(e)

Since ln(e) = 1:

ln(2) = rt

Solving for t:

t = ln(2)/r

Substituting the given growth rate parameter of 5.9% per hour:

t = ln(2)/(0.059) ≈ 11.72 hours

Therefore, it takes approximately 11.72 hours for the size of the population to double.

help


Applying the Solution to a 3X3 System


At a family reunion, there only blood relatives, consisting of children, parents, and grandparents, in attendance. There were 400 people total. There were twice as many parents as grandparents, and 50 more children than parents. How many children, parents, and Grandparents were in attendance?

Show up all steps please

Answers

The total number of people in attendance was 400 people in total.

How to the total  total number of people in attendance

Let:

x be the no of grandparents

y be the no of parents

z be the no of children

Since there are 400 people total, so we can write the equation:

x + y + z = 400

We also know that there were twice as many parents as grandparents, so we can write the equation:

y = 2x

We know that there were 50 more children than parents, so we can write the equation:

z = y + 50

Now we have a system of three equations with three variables:

x + y + z = 400

y = 2x

z = y + 50

We can solve this system using substitution method

First, we can use the second equation to express y in terms of x:

y = 2x

Next, we can use the third equation to express z in terms of x:

z = y + 50

z = 2x + 50

Now we can substitute these expressions for y and z into the first equation:

x + y + z = 400

x + (2x) + (2x + 50) = 400

5x + 50 = 400

5x = 350

x = 70

So there were 70 grandparents in attendance.

Using the second equation, we can find the number of parents:

y = 2x

y = 2(70)

y = 140

So there were 140 parents in attendance.

Using the third equation, we can find the number of children:

z = y + 50

z = 140 + 50

z = 190

So there were 190 children in attendance.

Therefore, the total number of people in attendance was:

70 grandparents + 140 parents + 190 children = 400 people in total.

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Write 0.00205 in scientific notation

Answers

0.00205 can be written in scientific notation as 2.05 x 10^-3.

Answer:

The answer is 2.05×10‐³

Step-by-step explanation:

0.00205 to scientifi notation or standard form

=2.05×10‐³

Elizabeth Sold 3 fourths of 24 balloons at a festival how many balloons did she sell

Answers

3/4 of 24 is 18 so 18 is the answer

Use the drop downs to determine which symbols
would complete the inequality for the domain.
-4_____(a)______x______(b)______4
(a)
(b)
DONE✔

Answers

The domain of the function in the graph can be written as: -4 ≤ x < 4

or [-4, 4)

How to write the domain of the function?

To identify the domain look at the horizontal axis. Remember that the domain is the set of the inputs, and the inputs go in the horizontal axis (or the x-axis)

You can see that there is a closed dot (which means that the value belongs to the domain) at x = -4, and there is a open dot (which means that the value does not belong to the domain) at x = 4.

Then the domain of the graph is:

-4 ≤ x < 4

Or, written in interval form, it is [-4, 4)

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Write the product as a product of a whole number and a unit fraction. 3 x 2/4=

Answers

Answer:

1 whole and 2/4

Step-by-step explanation:

2/4+2/4=1

1+2/4=1 whole and 2/4

If a perimeter of a figure is 56 m
What is the area ?

Answers

The perimeter of a square is 56 M the area of rectangle is 8 square metre less than the area of the given figure square if the length of the rectangle is 16 m then breadth is 11.75 m

The perimeter of square = ( 4 ) ( side )

( 4 ) ( side ) = 56

side = 56 ÷ 4

side = 14 m

The area of the of the rectangle is 8m² less than the area of the square

Area of the square = ( side )²

Area = ( 14 )²

Area = 196 m²

Now, the area of the rectangle = ( length ) × ( breadth )

Area = 196 - 8

Area= 188 m²

( length ) × ( breadth ) = 188 m²

Length = 16

( 16 ) × ( breadth ) = 188

Breadth = 188 ÷ 16

=11.75 m

Hence, the perimeter of a square is 56 M the area of rectangle is 8 square metre less than the area of the given figure square if the length of the rectangle is 16 m then breadth is 11.75 m

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the perimeter of a square is 56 M the area of rectangle is 8 square metre less than the area of the given figure square if the length of the rectangle is 16 m find its breadth

3) Find the volume of the following figure. Round your answer to the nearest whole number. 8.7A 10 ft. O 1021 ft³ O 1026 ft³ O 4082 ft³ 4084 ft³ 13 ft. * 1 point​

Answers

The volume of the cylinder is approximately 1026 ft³. The Option B is correct.

What is the volume of the cylinder?

To find the volume of a cylinder, we need to use the formula: V = πr² where V = volume, r radius and h = height.

Radius = diameter/2

Radius = 10ft/2

Radius = 5ft

Height of the cylinder, which is 13ft.

Now we can substitute these values into the formula to find the volume:

V = π(5ft)²(13ft)

V = π(25ft²)(13ft)

V = 25π(13ft³)

V ≈ 1025.92ft³

Full question "Find the volume of the cylinder. Diameter is 10ft, Height is 12ft. Answer choices O 1021 ft³ O 1026 ft³ O 4082 ft³ 4084 ft³"

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Solve for x.




x =


(50 POINTs will give BRAINIEST FOR EFFORT)

Answers

The value of the x in the circle is 17.

Given is circle T, we need to find the value of x,

m arc QS = 2 m ∠R

m arc QS = 2 × 67°

m arc QS = 134°
Now,

arc QS + arc RS + arc QR = 360°

134° + 5x + 21 + 120 = 360°

5x = 85

x = 17

Hence, the value of the x in the circle is 17.

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An initial population of 820 quail increases at an annual rate of
23%. Write an exponential function C to model the quail population. What will the approximate population be after 3 years?

Answers

The approximate population after 3 years is 1526.

Given that, principal=820, rate of interest=23% and time period=3 years.

If a constant rate of growth be R% per annum, then population after n years = P(1+R/100)ⁿ.

Here, population after 3 years is 820(1+23/100)³

= 820×1.23³

= 820×1.860867

= 1525.91094

≈ 1526

Therefore, the approximate population after 3 years is 1526.

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I need help with this please

Answers

Answer:

its d

Step-by-step explanation:

help me please i need your help!!! please help me !!!Theresa designed a new logo for her company. The triangular sections are painted a sparkly light blue, and the remaining sections are painted white. The white paint cost $0.12/ft², and the sparkly blue paint cost $0.33/ft2. How much will the paint cost for the new logo? ​

Answers

Answer:

$1.16

Step-by-step explanation:

Area of the circle

a = [tex]\pi r^{2}[/tex]

a = (3.14)[tex]1.5^{2}[/tex]

a = 3.14(2.25)

a = 7.065

Area of the triangle

a = 1/2bh

a = 1/2(1.5)(1)

a = .75

There are two triangle so the blue area is 1.5 [tex]ft^{2}[/tex]

.33 x 1.5 = .495  This is the cost of the blue paint

The circle minus the triangle is the area of the whit part

7.065 - 1.5 = 5.565

5.565 x .12 = .6678

The total cost of paint will be .495 + .6678 = 1.1628 Rounded to the nearest cent is $1.16

Helping in the name of Jesus.

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The graph shows Wilson's science scores versus the number of hours spent doing science homework.A graph titled Wilsons Science Scores shows Hours of Practice in a Week on x axis and Science Scores on y axis. The x axis scale is shown from 0 to 5 at increments of 1, and the y axis scale is shown from 0 to 50 at increments of 5.The ordered pairs 0, 15 and 0.5, 18 and 1, 18 and 1.5, 25 and 2, 30 and 2.5, 35 and 3, 40 and 3.5, 43 and 4, 41 and 4.5, 45 and 5, 48 are shown on the graph. A straight line joins the ordered pairs 0, 14.9 and 5, 50.What will most likely be Wilson's approximate science score if he does science homework for 6 hours a week? (5 points)33 points42 points52 points55 points Miriams popcorn container was also 11. 5 inches high but with a base whoes side length is 2. 25 inches. The volume of Miriams container is 74When providing rescue breathing to an adult victim, the first aider should give one breath about one every _____ seconds.A. 3 secondsB. 6 secondsC. 5 seconds a company has 20,000 shares of $10 par stock outstanding and declares a stock dividend of 8%. the number of shares outstanding will increase by FILL IN THE BLANK. the tendency to overestimate one's ability to have foreseen or predicted the outcome of an event after it has occured is to ______ as the tendency to blame an innocent victim of misfortune for having somehow caused the problem is to ______ . i have 4 vertices and 4 sides. two of my sides are parallel and the other two are not parallel. what shape am i The business checking account for a pottery store had a balance of $7349.44 before checks for $1349.67 and $344.12 were written. The store manager then deposited $956.60. Find the checkbook balance what are the five stages of change as applied to exercise? provide examples of factors fitness professionals must consider in working with clients in each stage. Why did the framers want judges appointed versus elected and why do they serve for life? Order these numbers from least to greatest.8 6/118.83817/28.83 Dynamic addition of memory (hot-add) into a virtual machine depends on: Selected information about income statement accounts for the Reed Company is presented below (the company's fiscal year ends on December 31):2018 2017Sales $ 4,450,000 $ 3,550,000Cost of goods sold 2,870,000 2,010,000Administrative expenses 810,000 685,000Selling expenses 370,000 322,000Interest revenue 151,000 141,000Interest expense 202,000 202,000Loss on sale of assets of discontinued component 54,000 On July 1, 2018, the company adopted a plan to discontinue a division that qualifies as a component of an entity as defined by GAAP. The assets of the component were sold on September 30, 2018, for $54,000 less than their book value. Results of operations for the component (included in the above account balances) were as follows:1/1/18-9/30/18 2017 Sales $ 410,000 $ 510,000 Cost of goods sold (295,000) (326,000)Administrative expenses (51,000) (41,000)Selling expenses (21,000) (31,000)Operating income before taxes $ 43,000 $ 112,000 In addition to the account balances above, several events occurred during 2018 that have not yet been reflected in the above accounts:A fire caused $51,000 in uninsured damages to the main office building. The fire was considered to be an infrequent but not unusual event.Inventory that had cost $41,000 had become obsolete because a competitor introduced a better product. The inventory was sold as scrap for $5,000.Income taxes have not yet been recorded.Required:Prepare a multiple-step income statement for the Reed Company for 2018, showing 2017 information in comparative format, including income taxes computed at 40% and EPS disclosures assuming 400,000 shares of common stock. (Amounts to be deducted should be indicated with a minus sign. Round EPS answers to 2 decimal places.) anne prefers one-page memos with only the main points of the issue. as a manager, she has limited amounts of time to read about internal problems. so when she prepares memos for her boss, she provides a brief outline of the situation to spare her boss the agony of having to read the boring details. anne has succumbed to:_____.