Find the volume of the sphere.

Either enter an exact answer in terms of π or use 3.1414 for π.

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Answer:

Step-by-step explanation:

Hope this helps u !!

Answer:

u just gave that are we meant to solve it is there anything to substitute into it what are we actually meant to do?

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

the first, (f+g)(x) is f(x) + g(x)

calculating it like:

x² + 7x + (8 -x²)

= x² + 7x + 8 -x²

= 7x + 8

you just writ it down as a calculation and calculate it. i hope that helps understanding the concept/basic idea. please let me know wich ones you need more help with.

edit1: the domain is the range of possibilities wich x we can plug into the new equation

Answer:

The values of [tex]a[/tex] and [tex]b[/tex] are [tex]33[/tex] and [tex]\frac{20\sqrt{3}}{3}[/tex], respectively.

Step-by-step explanation:

The statement is equivalent to the following mathematic expression:

[tex]\left(5 + 2\sqrt{2})^{2} = a + b\cdot \sqrt{6}[/tex] (1)

By definition of the perfect square trinomial:

[tex]25 + 20\cdot \sqrt{2} + 8 = a + b\cdot \sqrt{6}[/tex]

[tex]33 + 20\sqrt{2} = a + b\cdot \sqrt{6}[/tex]

And by direct comparison we have the following system:

[tex]a = 33[/tex] (2)

[tex]b\cdot \sqrt{6} = 20\sqrt{2}[/tex] (3)

By (3), we solve for [tex]b[/tex]:

[tex]b = \frac{20}{\sqrt{3}}[/tex]

[tex]b = \frac{20\sqrt{3}}{3}[/tex]

The values of [tex]a[/tex] and [tex]b[/tex] are [tex]33[/tex] and [tex]\frac{20\sqrt{3}}{3}[/tex], respectively.

Answer:16500

Step-by-step explanation:

That is, for every 100 people, there are 26 people aged between 11 and 20. So 63500 will have 16500 people aged 20.

Answer:

-7x^2 - x - 10

Step-by-step explanation:

Rewriting a polynomial in standard form most often involves writing the x terms in descending order by power:  x^2, x^1, x^0

Rewrite -x -7x^2 -10 as -7x^2 - x^1 - 10x^0, which is usually simplified to:

                                       -7x^2 - x - 10

This result is in "standard form."

[tex]-7x^2-x-10

[/tex]

Answer:

$1,976.25

Step-by-step explanation:

Since one square foot cost $ 7.50 we simply multiply that by 263.5.

263.5 × 7.50= $1,976.25

Answer:

x = 100

It is on a straight line and so, it equals to 180.

180 - 80 = 100

Answer:

x = 71.5 in

Step-by-step explanation:

Remember the SOHCAHTOA rule

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

In this case, we use: CAH.

cos(52) = 44/x

x = 44/cos(52)

x = 71.5 inches

Answer:

5/9

Step-by-step explanation:

If a variable y is directly proportional to x, then;

y = kx where;

k is the constant of proportionality

Given the expression y = 5/9 x

On comparing with the general formula;

kx = 5/9 x

k = 5/9

Hence the constant of proportionality of the expression is 5/9

Answer:

5/9

Step-by-step explanation:

i tried it on khan and its right trust me

Answer:

There is a 50% chance of getting a odd number.

Step-by-step explanation:

1-10 have 5 old numbers and they are 1, 3, 5, 7, and 9.

5/10 = 0.5 = 50%

5 out of 10

Answer:

[tex] = > 2k + 1 \\ when \: k = 0 \\ 2(0) + 1 \\ = 1 \\ \therefore \: zero \: is \: odd \\ \\ = > 2k \\ when \: k = 0 \\ 2(0) \\ = 0 \\ \therefore \: zero \: is \: not \: even \: because \: when \: divided \: by \: 2 \: \: remainder \: is \: zero[/tex]

Answer:

-8

Step-by-step explanation:

well since the equation has the same base of 11, you can just solve for x as you normally would. so the question becomes:

4x+1 = 3x -7

subtract one from both sides

4x = 3x - 8

subtract 3x from both sides

x = - 8

Answer:

x=  -8

Step-by-step explanation:

Answer: 3x^2-2x+1

Step-by-step explanation:

Answer:

3x² - 2x + 1

Step-by-step explanation:

To get 3x²

6x³ ÷ 2x

To get -2x

-4x² ÷ 2x

To get +1

2x ÷ 2x

Answer:

A. increasing curve

Step-by-step explanation:

exponential equations always have a curve, so you know it has to be the one about a curve.

Answer:

(n + 13n)

Step-by-step explanation:

13n (n) = 13n²

add 13n

so 13n (n + 13n) = 13n² +13n

Find the area of the full circle:

Area = pi x r^2

Area = 3.14 x 17^2

Area = 907.46 square units

A full circle is 360 degrees. The sector is 120degrees.

Multiply the area of the circle by the sector degrees/ full circle degrees

907.46 x 120/360 = 302.486 square units round off as needed.

Answer:

289/3[tex]\pi[/tex] m² or 302.6400923... m²

Step-by-step explanation:

These type of questions are very simple, you just have to know how to approach them properly. I'll give you the general structure using this as an example for your understanding.

The general structure goes like this:

Area of a circle is [tex]\pi r^{2}[/tex], so [tex]\pi[/tex]×17² = 289[tex]\pi[/tex] m²

The angle is 120° out of 360°, think of a sector as the percentage of the area of the circle.

120/360 = 1/3

1/3 × 289[tex]\pi[/tex] = 289/3[tex]\pi[/tex] m² or 302.6400923... m²

Answer:

unbiased

Step-by-step explanation:

it would be biased if you lets say survey the history club kids

Answer:

11 times

Step-by-step explanation:

Given

[tex]Jim = 2 * Jack[/tex]

[tex]John = 4 + Joe[/tex]

[tex]John = Jim - 3[/tex]

[tex]Joe = 15[/tex]

Required

Find [tex]Jack[/tex]

Substitute [tex]Joe = 15[/tex] in [tex]John = 4 + Joe[/tex]

[tex]John = 4 + 15[/tex]

[tex]John = 19[/tex]

Substitute [tex]John = 19[/tex] in [tex]John = Jim - 3[/tex]

[tex]19 = Jim - 3[/tex]

Collect like terms

[tex]Jim = 19 +3[/tex]

[tex]Jim = 22[/tex]

Substitute [tex]Jim = 22[/tex] in [tex]Jim = 2 * Jack[/tex]

[tex]22 = 2 * Jack[/tex]

Divide both sides by 2

[tex]Jack = \frac{22}{2}[/tex]

[tex]Jack = 11[/tex]

Answer:

[tex]27a^{3} +27a^{2}b+9ab+b^{3}[/tex]

Step-by-step explanation:

[tex](3a+b)(3a+b) = 9a^{2}+6ab+b^{2}\\(9a^{2}+6ab+b^{2})(3a+b) = 27a^{3} + 27a^{2}b +9ab^{2} +b^{3}[/tex]

Answer:

Step-by-step explanation:

9a^3+18a^2b+9ab^2+b^2

Answer: 70 degrees 35 times 2

Answer:

D. 125%

Step-by-step explanation:

First day = 80 responses

Second day = 180 responses

Increase in responses = 180 - 80

= 100 responses

what percent is the increase 100 of the original number of responses 80

= Increase in responses / original number of responses × 100

= 100/80 × 100

= 1.25 × 100

= 125%

The percent increase 100 of the original number of responses 80 = 125%

Answer:

1-

2X + 3Y = 330

2-

X + Y + Z = 3890

3-

1/3X + 2/3X = X

4-

X + Y = 27

Step-by-step explanation:

Para plantear ecuaciones para las siguientes situaciones se deben realizar los siguientes razonamientos lógicos:

1- Juan compró 2 panchos y 3 hamburguesas y le cobraron $330.

Panchos = X

Hamburguesas = Y

2X + 3Y = 330

2- Realizo un pago de la factura de luz, agua y cable en total me cobran $3890.

Luz = X

Agua = Y

Cable = Z

X + Y + Z = 3890

3- Un padre reparte un dinero X que recibió entre su esposa y su hijo, a su esposa le da el doble que al hijo.

Esposa = 2/3X

Hijo = 1/3X

1/3X + 2/3X = X

4- En el salón de clase hay 27 alumnos entre mujeres y varones.

Mujeres = X

Varones = Y

X + Y = 27

Answer:

x=2

Step-by-step explanation:

The x is known which means that it is the one that is parallel to the y axis.

Answer:

x = 2

Step-by-step explanation:

The y axis is a vertical line

x = 2 would create a vertical line making it parallel with the y axis

Answer:

The correct answer is:

(1) d

(2) b

(3) a

(4) c

(5) e

Step-by-step explanation:

The given problem is incomplete. Find the attachment of the full question.

According to the question,

(1)

By putting x = -2, we get

[tex]f(x)=(-2)^3-5[/tex]

       [tex]=-8-5[/tex]

       [tex]=-13[/tex]

(2)

By putting x = 0, we get

[tex]f(x)=(0)^3-5[/tex]

       [tex]=0-5[/tex]

       [tex]=-5[/tex]

(3)

By putting x = 3, we get

[tex]f(x)=8[/tex]

(4)

By putting x = 9, we get

[tex]f(x)=(2)^{9-7}[/tex]

       [tex]=(2)^2[/tex]

       [tex]=4[/tex]

(5)

By putting x = 11, we get

[tex]f(x)=(2)^{11-7}[/tex]

       [tex]=(2)^4[/tex]

       [tex]=16[/tex]

Answer:

Step-by-step explanation:

Answer:

Diameter: 10.8 cm

Circumference (in terms of π): 10.8π cm

Circumference (approximate): 33.91 cm

Step-by-step explanation:

Hi there!

We're given:

1) Determine the diameter

[tex]d=2r[/tex]

Multiply the radius 5.4 cm by 2

5.4 × 2 = 10.8

Therefore, the diameter of the circle is 10.8 cm.

2) Determine the circumference of the circle

[tex]C=\pi d[/tex]

Plug in the diameter 10.8

[tex]C=10.8\pi[/tex]

Therefore, the circumference of the circle in terms of π is 10.8π cm.

3) Determine the approximate circumference of the circle

[tex]C=10.8\pi\\C=10.8(3.14)\\C=33.91[/tex]

Therefore, the approximate circumference of the circle is 33.91 cm.

I hope this helps!