The circumference of a sphere is 18π inches. Find the volume of the sphere in terms of π

Answer:

I am pretty sure the answer is going to be y=25x+20 :)

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The correct function for the given data representation will be,

y = 8x² + 10

What is Function?

A relation between a set of inputs having one output each is called a function.

Data representation is given by the scatterplot in the graph.

Now,

Take a function y = 8x² + 10

Then, Check each point on the x - axis for the value of y - axis.

So. Substitute x = 1 in the function we get;

y = 8 × 1 + 10

y = 8 + 10

y = 18

So, Point is (1, 18)

For, x = 3

y = 8 × 3² + 10

y = 72 +10

y = 82

So, Point is (3, 82)

For, x = 5

y = 8 × 5² + 20

y = 200 + 20

y = 220

So, Point is (5, 220)

Thus, All points are satisfy the given scatterplot graph.

So, The correct function for the given data representation will be,

y = 8x² + 10

Learn more about the function visit:

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Answer:

x = 5,-3

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

See attachments

Step-by-step explanation:

Hope this helps! (I hope you can open them)

Question 6

End ÷ Initial  = Growth + 1         (percent increase problems)

6,500/5,000 = 1.30

1.30 - 1 = 0.30

30% increase

Question 8

End ÷ Initial  = 1 - Growth         (percent decrease problems)

10.75/15.50 = 0.69

1 - 0.69 = 0.31

31% decrease

I hope this helps!

Answer:



These are the inequalities

A: [tex]W\geq -7[/tex]

B: [tex]W > -7[/tex]

C: [tex]W < -7[/tex]

D: [tex]W\leq -7[/tex]

I assume the "different" one is referring to the wording of the expression. B, C, and D are all similarly worded so I believe A is the "different" one.

Answer:

A = C = 115°

B = 65°

D = E = 45°

Step-by-step explanation:

65° + C = 180° or 65° + A = 180°, They are supplementary angles that are linear pair that add up to 180°.

A = C = 115°

B° = 65° Vertical Angles meaning they are equal to each other.

D and E are equal to cheat other since the lines on the sides mean that are isosceles.

D + E + 90° = 180°

D + E = 90°

2x = 90

x = 45°

D = E = 45°

Answer:

$2.25

Step-by-step explanation:

You have to set up a proportion to show how much the cost of milk is when discounted per gallon. 0% off, the milk would be $3.75. 40% off, the milk would be x. Now I flipped the percents because that is how much you are actually paying.

Proportion would look something like this:

3.75/100 = x/60

solve for x:

225 = 100x

x= 2.25

Answer:

I got 15.6

Step-by-step explanation:

I subtracted 28.8 percent from 68.4 then subtracted that number from 68.4

Answer:

The probability of each is 50-50.

Step-by-step explanation:

With the marbles, there are four different outcomes: red-blue, blue-red, red-red, and blue-blue. Because one outcome is for same colors and the other is different colors, the probability of either is 2/4, or 1/2, or 50%. This is the same as tossing a coin. Hope this helps!

Answer:

1a) h = 2

1b) "h" represents the amount of hours the electrician worked, so the electrician worked two hours. "60" represents the cost per hour. "20" represents the beginning service fee. "140" represents the total cost in the end.

2a) This impacts the meaning because instead of the equation, meaning that the customer of the electrician payed exactly $140, it is turned into an inequality, which means the customer payed $140 at most.

2b) The electrician charges a $20 service fee, plus $60 per hour for electrical repairs. The customer payed $140 at most. This is shown with the following equation: 60h + 20 < 140

Step-by-step explanation:

60h+20=140

60h=120

h=2

Answer:

[tex]78 \frac{5}{8} [/tex]

Step-by-step explanation:

[tex]for \: the \: width = 8 \tfrac{1}{2} \\ = \frac{17}{2} \\ sine \: the \: width \: is \: 9 \frac{1}{4} a \: long \\ 9 \ \frac{1}{4} = \frac{37}{4} \\ lenht \: of \: the \: plot = \ \frac{17}{2} \times \frac{37}{4} = \frac{629}{8} = 78 \ \frac{5}{8} \\ it \: will \: be78 \ \frac{5}{8}long [/tex]

Answer: 75

Step-by-step explanation:

Separate the parallelogram into two identical triangles (0.5 length by 10 height) and a rectangle (8 length by 10 height).

Work out the area of the rectangle - 8 * 10 = 80

Work out the area of the triangle - 0.5 * 10 = 5 (you don't need to halve it as you have two triangles)

Work out the area of the parallelogram - 80 + 5 = 85

Work out the area of the purple rectangle? (it says triangle in your description but I'm pretty sure that's not a triangle) - 5 * 2 = 10

Work out final area of the parallelogram - 85 - 10 = 75

I'm not sure if this is right but either way I hope you get your answer :)

Answer:

168

Step-by-step explanation:

Answer:

f(4)=-10

x=0

Step-by-step explanation:

Answer:

it doesnt say any numbers or pictures of the question can you add them

Answer:

[tex] \: [/tex]

Step-by-step explanation:

In the question, it is given that a cone has a diameter of 14 feet and a height of 11 feet and we have to find the volume of the cone.

[tex] \: [/tex]

To Find the volume of the cone, we must know this formula :

[tex] \\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(cone) }= \dfrac{1}{3} \: \pi {r}^{2}h }}}}}}} \\ \\[/tex]

Where,

Now, we will substitute the values in the formula :

[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times {(7)}^{2} \times 11 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 49 \times 11 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 539 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 1692.46 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1692.46}{3} }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \: \: \underline{ \boxed{ \frak{564.15 } }} }}}}}}} \: \: \bigstar \\ \\[/tex]

Therefore,

Step-by-step explanation:

Given :-

To Find :-

Solution:-

Formula for volume of cone = 1/3πr²h

Volume = 1/3×3.14×7²×11 cubic ft.

Volume = 564.15 cubic ft.

Answer:

A.128

Step-by-step explanation:

First you break the prism apart so that you have one 7x4x2 rectangular prism and one 12x3x2 prism. Find the volume of both, then add them together.

Volume of 12x3x2:

12 x 3 = 36.          36 x 2 = 72.

Volume of 7x4x2:

7 x 4 = 28.            28 x 2=56.

Then add both volumes: 72 + 56 = 128.

Answer:

[tex] \frac{1}{2} of \: the \: invitations = \frac{1}{2} \times 54 \\ = 27invitations[/tex]

you made 27 of the invitations

Answer:

5 students did.

Step-by-step explanation:

20 students. 1/4 of 20 is 5

Answer:

[tex]\sf x^2+y^2=37[/tex]

Step-by-step explanation:

Equation of a circle:  [tex]\sf(x-h)^2+(y-k)^2=r^2[/tex]

where (h, k) is the center and r is the radius

Given the center is at (0, 0)

[tex]\sf \implies (x-0)^2+(y-0)^2=r^2[/tex]

[tex]\sf \implies x^2+y^2=r^2[/tex]

Given the circle passes through point (1, -6):

[tex]\sf \implies (1)^2+(-6)^2=r^2[/tex]

[tex]\sf \implies r^2=37[/tex]

Therefore, the equation of the circle is:

[tex]\sf \implies x^2+y^2=37[/tex]

Equation of a circle passing through origin

So

As (1,-6) lies on circle it will satisfy

Now

equation of the circle

Answer:

(-6,10)

Step-by-step explanation:

This is simple, you just subtract 8 from the x value, and add 4 to the y value.

Hope this helps

Answer:

D

Step-by-step explanation:

First subtract 4 from both sides and divde both sides by 2.

Solution:

=2x+4>16

=2x+4-4>16-4

=2x>12

=2x÷2>12÷2

=x>6

Answer

A = 30.25pi. PLS GIVE BRAINLIEST

Step-by-step explanation:

so if circumference is 11, and formula for circumference is 2pi*r, we can work backwards to find the radius.

Radius: 11pi/2 = 5.5pi = 5.5 is radius

Area = pi * r^2

so Area = pi*5.5^2

so A = 30.25pi left in terms of pi

Answer: 11/4pi

Step-by-step explanation:

Answer:

answer is x=5, not x=6

Step-by-step explanation:

I don't really understand how this is structured, but the correct way of solving this is

2(3x − 4) = 8 + 2x + 4

do distributive property.

6x - 8 =  8 + 2x + 4

subtract 2x on both sides.

you get...

4x - 8 = 12

add 8 on both sides.

4x =20

divide by 4

x = 5

The probability the 51st call arriaves within 150hours is 0.0431, the probability the next call arrives within the next 2 hours 0.5488, the probability the sum of these 50 numbers is less than 356 is 0.4165.

Data;

Using poission formula,

[tex]P(x=x) = \frac{e^-^\lambda - \lambda^x}{x!}\\\lambda = 0.3 per minute[/tex]

Let's substitute the values into the formula.

For 50 calls in 150 hours

For 150 hours = x = 0.3 * 150 = 45

[tex]p(x=50) = \frac{e^-^4^5 * 45^5^0}{50!} = 0.0431[/tex]

b)

The probability the next call arrives after 2 hours.

[tex]\lambda = 0.3 * 2 = 0.6\\p(x=0) = \frac{e^-^0^.^6 * 0.6^0}{0!} = 0.5488[/tex]

c)

The number of calls recieved each day is recorded for 50 consecutive days.

for 50 days;

[tex]\lambda = 0.3 * 50 * 24 = 360[/tex]

The mean = 360

The standard deviation is given as

[tex]S.D = \sigma =\sqrt{360} = 18.974\\[/tex]

The probability the sum of these 50 number is less than 356 is

[tex]p = (x < 356) = z = \frac{356 - 360}{18.974} = -0.2108\\p(z < -0.2108) = 0.4165[/tex]

Learn more on poission formula here;

https://brainly.com/question/7879375

Answer:

look up surface area calculator

Step-by-step explanation:

The surface area of the triangular prism is 161 square feet. Then the correct option is A.

Let h be the height and b be the base of the triangle. Let L₁, L₂, and L₃ be the length and W be the width of the rectangle. Then the surface area of the triangular prism will be given as,

Surface area = 2 Area of triangle + 3 Area of rectangle

Surface area = (h x b) + (L₁ + L₂ + L₃) x W

The surface area is calculated as,

SA = (5 x 5) + (5 + 5 + 7) x 8

SA = 25 + 17 x 8

SA = 25 + 136

SA = 161 square feet

Thus, the correct option is A which is top left.

More about the surface area of a triangular prism link is given below.

https://brainly.com/question/16765719

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Answer:

y = ¼(x-4)

Step-by-step explanation:

Before solving the question, let's look at one example,

In this case, y is directly proportional to (x-4) means that y∝(x-4) which can also mean that y=k(x-4).

Hence, to find the value of k, substitute x=16, y=3 into y=k(x-4),

3=k(16-4)

k=3/12

k=1/4

After that, substitute the k value into the equation,

Answer:

2.23

Step-by-step explanation: