Find the area and the area of the figure.​

The volume of the shaded part in cubic units is  4/3π(20)³ -  4/3π(4)³

The sphere is a a solid 3-dimensional object. THe formula for calculating its volume is expressed as:

V = 4/3πr³

where:

r is the radius of the sphere

For the outer sphere:

V = 4/3π(20)³

For the inner sphere:

V = 4/3π(4)³

The volume of the shaded part in cubic units is  4/3π(20)³ -  4/3π(4)³

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Answer:

D

Step-by-step explanation:

The number of unique random numbers that need to be selected from the table of random digits will be A. 3.

It should be noted that a random number simply means a number that occurs when it is impossible to predict it.

From the information given, there are 1200 subjects and there are three treatments. In order to get treatment number, there must be three unique random numbers.

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Answer:

true

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

if CFD is 12x and DFE is 6x that means CFE is 18x. 18x has to be equal to 90 degrees because CFED is a rectangle and each corner of a rectangle is 90 degrees.

so:

18x=90

x=5

Answer:

73947.52

Step-by-step explanation:

the equation would be 100000 * (0.988)^25

since time is 25 years, and rate is 0.988, since we are decreasing by 0.012.

Answer:

see below-

Step-by-step explanation:

1st one- congruent

boxes- m1 and m2 , m2 and m3

2nd line- supplementary

m1 and m3

Answer:

x=5 y=2

Step-by-step explanation:

3x-6y=3

3x=3+6y

x=1+2y

Substitute x for 4x+6y=32

4+8y+6y=32

4+14y=32

14y=28

y=2

3x-12=3

3x=15

x=5

Answer:

900000

Step-by-step explanation:

the answer to "360000 is 40 percent of what number?" is 900000, and you can also derive that 40 percent of 900000 equals 360000.

Answer:

[tex]69500[/tex]

Step-by-step explanation:

[tex] \frac{695000}{1} \times \frac{10}{100} \\ \\ = 69500[/tex]

[tex]\displaystyle h(x)=\int\limits_{1}^{\sqrt{x}}~\cfrac{z^2}{z^4+1}dz~\hspace{10em}\cfrac{dh}{du}\cdot \stackrel{chain~rule}{\cfrac{du}{dx}\implies \cfrac{dh}{dx}} \\\\[-0.35em] ~\dotfill\\\\ u=\sqrt{x}\implies \cfrac{du}{dx}=\cfrac{1}{2\sqrt{x}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{dh}{dx}\implies \displaystyle \cfrac{d}{du}\left[ \int\limits_{1}^{u}~\cfrac{z^2}{z^4+1}dz \right]\cdot \cfrac{1}{2\sqrt{x}}\implies \left[ \cfrac{u^2}{u^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}} \\\\\\ \stackrel{substituting~back}{\left[ \cfrac{(\sqrt{x})^2}{(\sqrt{x})^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}}}\implies \cfrac{x}{x^2+1}\cdot \cfrac{1}{2\sqrt{x}}\implies \cfrac{\sqrt{x}}{2x^2+2}[/tex]

Answer:

$84.42

Step-by-step explanation:

$4.02 x 21= $84.42

I hope this helps!!!

Answer:

YOU DO 4.02x21=84.42

Step-by-step explanation:

1. 1 pound = 16 ounces

2. 21 pounds * 16 ounces = 336 ounces

3. 336 ounces ÷ 4 baskets = 84 ounces per basket

OR

1. 1 pound = 16 ounces

2. 21 pounds ÷ 4 baskets = 5.25 pounds per basket

3. 5.25 pounds * 16 oz = 84 ounces per basket

Hope this helps!!

Answer:

19n+9u=7500 and 4u-n

Step-by-step explanation:

Answer:

With the assumption being made that the 401-k deductions are pre-tax deductions your calculation is as follows:78,300 - 6,500 = 71,800 (this is your new taxable value)71,800 * 0.27 = 19,386 (This is the amount that will be withheld in income taxes per year.Your answer is A.

Answer:

Step-by-step explanation:

With the assumption being made that the 401-k deductions are pre-tax deductions your calculation is as follows:

78,300 - 6,500 = 71,800 (this is your new taxable value)

71,800 * 0.27 = 19,386 (This is the amount that will be withheld in income taxes per year.

Answer:

The answer would be 90.

Step-by-step explanation:

There are two ways to solve this problem.
Option 1:  See that 88+36 is equal to 124. Then subtract 34 from 124 to get your answer of 90.
Option 2. See that you subtracted two from 36 to get 34. To balance the equation out, you must add two to 88 to get an answer of 90.
I hope this helps! :)

Hey there!

88 + 36 VS ? + 34

88 + 36 VS x + 34

88 + 36 = x + 34

124 = x + 34

NEW EQUATION:

124 = x + 34

x + 34 = 124

SUBTRACT 34 to BOTH SIDES

x + 34 - 34 = 124 - 34

SIMPLIFY IT!
x = 124 - 34

x = 90

Therefore, the mystery number/answer is: 90

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Because it is a cubic root, the argument can be positive and negative, so the domain is the set of all real numbers.

Here we have the function:

[tex]f(x) = \sqrt[3]{\frac{1}{2}*x - 10}[/tex]

Now, if this is a cubic root (as I understand what you wrote) then we can use any value of x inside of that function, because the degree is odd.

Is not the case of the square root, where the argument must only be positive.

With that in mind, we conclude that the domain is the set of all real numbers.

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Answer: C

Step-by-step explanation:

Edge 2023

Answer:

cupboard is 1.2 m wide.

Will a stick 1m 5cm long fit across the cupboard?

Give reasons for your answer

For addition   1.)  28  /  5 2.) 27  / 4  3.)  45  /  8 4.)  4  /  3 5.)  23  /  18

For Subtraction 1.)  27  /  5 2.) 20 /  3 3.) 23  /  6 4.) 6 / 5 5.) 16 / 3

The method of summing up the given data is called addition. A method of removing certain data from the given data is called subtraction.

Addition

1.)  28  /  5

2.) 27  / 4

3.)  45  /  8

4.)  4  /  3

5.)  23  /  18

Subtraction

1.)  27  /  5

2.) 20 /  3

3.) 23  /  6

4.) 6 / 5

5.) 16 / 3

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Answer:

32

Step-by-step explanation:

Multiply both sides by 8.

y/8 = 4

y/8 × 8 = 4 × 8

y = 32

Using proportions, it is found that the length of the living room in the scale drawing is of 4/3 ft.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The scale factor of 1/18 means that on the drawing, each ft represents 18 ft. Hence how many ft represent 24 feet?

[tex]f = \frac{1}{18} \times 24 = \frac{24}{18} = \frac{4}{3}[/tex]

Hence, the length of the living room in the scale drawing is of 4/3 ft.

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Answer:

The guy above is right its 4/3

Step-by-step explanation:

Hope this helped!!!

Please correct me if i'm wrong! :D

Triangle ABC would remain the same because a dilation generally preserves the measure of an angle.

A scale factor simply refers to a ratio of two (2) corresponding side lengths or diameter in two (2) similar geometric figures such as triangles.

In this exercise, you're required to construct a dilation of triangle ABC that is centered at B with a scale factor of 2 by using a compass and straightedge.

In conclusion, triangle ABC would remain the same because a dilation generally preserves the measure of an angle.

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Answer:

the Danyang–Kunshan Grand Bridge

The world's longest bridge is the Danyang–Kunshan Grand Bridge in China, part of the Beijing-Shanghai High-Speed Railway, according to Encyclopaedia Britannica (opens in new tab). The bridge, which opened in June 2011, spans 102.4 miles (165 kilometers)

Answer:

Danyang–Kunshan Grand Bridge

Step-by-step explanation:

Answer:

I think that answer is 65....Broo 65 or what broo...

Answer:

N < -3

Step-by-step explanation:

first off, simply, then subtract the 9s from both sides.

5n < -6 -9

Simplify -6 -9 to -15 , Which gives you

5n < -15

then, divide both sides by 5.

n < 15/5

Simplify 15/5 to 3, Which give you

N < -3

here is your answer.

N < -3

Answer:

see below

Step-by-step explanation:

If it decreases at  10.5 % per year then 89.5 % remains

Value =      y =  35 300 ( .895)^x

value when x = 5.5      y =  $ 19177.92

Answer:

0.922

Step-by-step explanation:

→ State the distribution

X ~ N ( 1000 , 100² )

→ State the required probability

p ( 840 < x < 1200)

→ Enter upper bound as 1200 and lower as 840 on the normal cumulative distribution

0.922