A sphere has a radius of 9 feet. A second sphere has a radius of 6 feet. What is the difference of the volumes of the spheres? The volume of the larger sphere is π cubic feet greater than the volume of the smaller sphere.

Option B is correct, x ≤ 2  is the domain of the function shown on the graph.

A relation is a function if it has only One y-value for each x-value.

We have to find the domain of the given graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis.

The graph has x values less than or equal to two.

x ≤ 2 is the domain of the given function.

Hence, option B is correct, x ≤ 2  is the domain of the function shown on the graph.

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Answer:

Choice D

Step-by-step explanation:

I believe that it is Choice D. Due to the fact that the moons orbit around Earth is inclined around 5 degrees, not allowing an eclipse to happen every New or Full Moon. Most of the time, the Sun, Earth, and Moon don't line up precisely enough to cause an eclipse.

Answer:

90 toys

Step-by-step explanation:

We should use the same unit for time.  Rewrite 20 minutes as 1/3 hour.

The unit rate is then:

    3 toys         9 toys

----------------- = -----------

 1/3 hour          hour

Multiply this unit rate by 10 hours, obtaining 90 toys

Answer:

The Scale Factor is 1/4.

Step-by-step explanation:

if you multiply each side (of figure A) by 1/4, the product matches with figure B's corresponding sides. for example, 56 to 14, 28 to 7, and 64 to 16.

the scale factor is just how much a chosen shape is multiplied by to get the next shape.

to get bigger shapes into a smaller shape, multiply the sides by fractions like we did this problem.

Answer:

8???????

Step-by-step explanation:

Answer:

beleive its 35

Step-by-step explanation:

Answer:

The mode hear is 32

Step-by-step explanation:

The mode is the number seen the most in a selected group.

Here is a Mnemonic to help remember what the 3 M's are:

'Hey diddle, diddle

the medians in the middle

add and divide for the mean

the mode is the one that you see the most

and the range is the difference between'

Answer:

x=12

Step-by-step explanation:

5x = -3x+24

2x = 24

x = 12

Question:

Rewrite the function to reveal when sales of compact discs and $0.

Answer:

The cost in 2010 is $0

Step-by-step explanation:

Given

[tex]C(x) = -2x^2 + 38x + 40[/tex]

Required

Find x when [tex]C(x) = 0[/tex]

This gives:

[tex]C(x) = -2x^2 + 38x + 40[/tex]

[tex]-2x^2 + 38x + 40=0[/tex]

Expand

[tex]-2x^2 + 40x -2x+ 40=0[/tex]

Factorize:

[tex]-2x(x - 20) -2(x- 20)=0[/tex]

[tex](-2x - 2)(x- 20)=0[/tex]

Solve for x

[tex]-2x-2=0\ or\ x - 20 = 0[/tex]

[tex]x = -1\ or\ x = 20[/tex]

x represents time.  So, it cannot be negative.

[tex]x = 20[/tex]

20 years after 1990 is: 2010. Hence, the cost in 2010 is $0

Answer:

4in

Step-by-step explanation:

Answer:

(3x-2)(2x-3)

Step-by-step explanation:

Good luck!

Answer:

y=3x^2-6x+3

Step-by-step explanation:

Answer:

√53

Step-by-step explanation:

Use the distance formula to find the distance between the two coordinates

Answer:A and b

Step-by-step explanation:

The dimensions of cylinders that have a volume under 220 cubic inches per serving are:

3-inch radius and 4-inch height
4-inch diameter and 4-inch height
4-inch diameter and 9-inch height

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
We can use the formula V = πr²h to find the volume of each cylinder.

For a cylinder with a 3-inch radius and 4-inch height:

V = π(3)²(4) ≈ 113.1 cubic inches

For a cylinder with a 4-inch radius and 4-inch height:

V = π(4)²(4) ≈ 200.96 cubic inches

For a cylinder with a 9-inch radius and 9-inch height:

V = π(9)²(9) ≈ 2289.0 cubic inches

For a cylinder with a 4-inch diameter and 9-inch height (radius is 2 inches):

V = π(2)²(9) ≈ 113.04 cubic inches

For a cylinder with a 6-inch diameter and 9-inch height (radius is 3 inches):

V = π(3)²(9) ≈ 254.5 cubic inches

For a cylinder with a 9-inch diameter and 4-inch height (radius is 4.5 inches):

V = π(4.5)²(4) ≈ 254.5 cubic inches

Therefore, the dimensions of cylinders that have a volume under 220 cubic inches per serving are:

3-inch radius and 4-inch height
4-inch diameter and 4-inch height
4-inch diameter and 9-inch height

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Answer:

6 ft

Step-by-step explanation:

The triangle CDE is half of the size of triangle ABC, so if you match up the corresponding sides, DE is half of AC. AC is 12 so DE is 6.

hope is helped!

Answer:

XY = 9

Step-by-step explanation:

Similar polygons have corresponding sides with proportional lengths.

WX/AB = XY/BC

12/8 = XY/6

8XY = 12 * 6

8XY = 72

XY = 9

Answer:

$400

Step-by-step explanation:

Let the initial total cost be represented = $X.

Hence, for 20 family members

= $ x/20 each .......1

Now that they are 25 members

= $x/25 each.......2

Each in the original group which is equation 1 owed $4 less.

That is,

x/20 - 4 ........ 3

Now equate 2 and 3

X/20 - 4/1 = X/25

Taking the LCM of both sides

X-80/20 = X/25

Cross multiply both sides

25( x-80 ) = 20x

25x-2000 = 20x

Collecting like terms

25x-20x = 2000

5x = 2000

Divide through by 5

X = 2000/5

X = 400

The total cost for the catered meal is $400.

To check if it was correct

Put 400 into equation 1 and 2 and then minus whatever you get from each other, you will get $4

From equation 1

400/20 = $20

From equation 2

400/25 =$16

$20-$16 = $4

Thanks

Answer:

cannot be simplified

Step -by-step explanation:

[tex]3\sqrt{7} - 5\sqrt[4]{7} \\[/tex]

The indexes are not the same so the radicals cannot be combined.

cannot be simplified

Answer:

90 degrees

Step-by-step explanation:

The three angles of a triangle always add up to 180 degrees, so knowing this, all three of the measures given should add up to 180.

First, you need to solve for x:

S(x+10) + R(2x+60) + T(50+x) = 180

Add up all of the like terms:

10 + 60 + 50 = 120

x + 2x + x = 4x

So now you are left with 4x + 120 = 180

And solve for x:

4x/4 + 120/4 = 180/4

x + 30 = 45

x + 30-30 = 45-30

x = 15

Now that we have the value of x, plug it into the measure given for angle R:

(2x+60)

= (2(15)+60)

= (30 + 60)

= 90

So the measure of angle R is 90 degrees.

I hope this helped! :)

Answer:

the two consecutive negative integers are -2 and -1.

Step-by-step explanation:

Represent these negative integers by m and n.

Then (because the integers are consecutive) n = m + 1, and m^2 = n + 5.

Substituting m + 1 for n in the second equation, we get:

m^2 = m + 1 + 5, or

m^2 - m - 6 = 0

This factors into (m - 3)(m + 2) = 0.  The only negative root is -2.  

Thus, the two consecutive negative integers are -2 and -1.

Check:  Is the  square of the first five more than the second?

Is (-2)^2 = -1 + 5?  YES

The integers aer -2 and -1.

Answer:

A

Step-by-step explanation:

Because That's The Main Idea

Answer:

8

Step-by-step explanation:

the formula for direct variation =

Y ∝ kX

such that

Y = kX

from the question we have here

Y = Volume = 24

x = height = 3

when we put this in the formula above in bold

24 ∝ 3k

24 = 3k

from here we have to find the value of k. to do this, we divide through by 3

24/3 = 3k/3

8 = k

therefore the value of k is 8

Answer:

An insurance actuary is a professional that analyzes financial risk using mathematics, statistics, and financial theories.

Step-by-step explanation:

Most actuaries work in the insurance industry and help insurance companies create and price insurance policies based on the likelihood that they will have to pay out claims.

Hope this helped!!!

Answer:

[tex]73[/tex]

Step-by-step explanation:

[tex]73=\sqrt{55^{2} +48^{2} }[/tex]

Answer:

5.86

Step-by-step explanation: its right on delta math

Answer:5.987

Step-by-step explanation:

Answer:

D. 23

Step-by-step explanation:

m-12-(11)=0

m-23 = 0

m = 23