Which function matches the data in the table

Answer:

184 in.^2

Step-by-step explanation:

The cross section through the center of a sphere is a circle whose radius is equal to the radius of the sphere.

area of circle

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

[tex] \pi r^2 = 46 [/tex]

[tex] r^2 = \dfrac{46}{\pi} [/tex]

[tex] r = \sqrt{\dfrac{46}{\pi}} [/tex]

[tex] r = 3.83 ~in.[/tex]

surface area of sphere

[tex] SA = 4 \pi r^2 [/tex]

[tex] SA = 4 \times \pi \times (3.83)^2 [/tex]

[tex] SA = 184~in.^2 [/tex]

Answer:

Commutative

Step-by-step explanation:

because both sides contain 4.3 + g in any order.

Answer:

this is commutative Property of Addition because they are showing that even when you change the order, the sum will equal the same amount.

Step-by-step explanation:

I hope this helps! ^^

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Answer:

2

Step-by-step explanation:

.....................

Answer:

8

Step-by-step explanation:

So first do 104+76+104=284

Now form the equation 10x-4+284=360

It is 360 because this is a quadrilateral.

Now combine like terms.

10x+280=360

10x=80

x=8

Check 80-4=76

The other angle is 76 so you know your answer is correct

Answer:

250

volume=density/mass

Step-by-step explanation:

Answer:

[tex]-\frac{3}{2}[/tex] < x or x > 4

Step-by-step explanation:

Convert the inequality to an equation.

2x² - 5x = 12

2x² - 5x - 12 = 0

Factor by grouping.

(2x + 3)(x - 4) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

2x + 3 = 0

x - 4 = 0

Solve for x.

x = -3/2

x = 4

Use each root to create test intervals.

The solution consists of all of the true intervals.

[tex]-\frac{3}{2}[/tex] < x or x > 4

good luck, i hope this helps :)

Answer:

Ik this is late but the answer is 4(4x + 7)

Step-by-step explanation:

The expression by using the greatest common factor is 4(4x + 7).

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 16x + 28. The expression by using the greatest common factor is calculated as,

E = 16x + 28

E = 4(4x + 7)

Therefore, the expression using the greatest common factor is 4(4x + 7).

To know more about an expression follow

https://brainly.com/question/27526746

#SPJ5

Answer:

-3.5,-3,-2 1/2,-2,2.5

Step-by-step explanation:

Least. Greatest

-3.5, -3, -2 1/2, -2, 2.5

Answer:

51

Step-by-step explanation:

The answer is 51 because since it is a 90 degree angle,you have to subtract 24+7 from 90 and that's your answer.

Answer:

x=103.9536≈104 feet

Step-by-step explanation:

Answer is Option B) 50

9(6)-4

54-4

50

Answer:

15. 6

16. 40

Step-by-step explanation:

Use the formula for pythagorus: c^2 = a^2 + b^2

15. 10^2 = 8^2 + b^2

100 = 64 + b^2

*minus 64 on both sides

36 = b^2

*square root both sides

b = √36 = 6  

16. c^2 = 24^2 + 32^2

c^2 = 576 + 1024

c^2 = 1600

*square root both sides

c = √1600 = 40

Hope this helps :)

1) 164

2) 1600

because a^2 + b^2 = c^2 <3

Answer:

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hmmmmm

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Answer:

Step-by-step explanation:

-8/32 = -1/4

The equation is : y = -1/4 x

Now they say, x = 28 so substitute x as 28 and solve

for when y = -5, substitute -5 as y and solve

Do this for all

Answer:

x = 115

z= 40

y = 140

Step-by-step explanation:

x = 180 - (40 +25) = 115

z = 180 - (115+25) = 40

y = 180 - (40) = 140

Answer:

This is your answer!!!

Step-by-step explanation:

I attached a pic.

Hope it helps!!!

Answer:

a) Los múltiplos de 3 son: 3,6,9,12,15,18,21,24,27

b) Todos los numeros pares son multiplos de: 2

c) Los múltiplos de 5 son: 5,10,15

Answer: =0 + 5n

Step-by-step explanation:

Answer:

An= 0 + 5n

Step-by-step explanation:

36 cookies are left

Step-by-step explanation:

to do this problem all you have to do is do the equation 48*0.25 and when you do that you get 12. after that you subtract 12 from 48 to get 36

Answer:

5

Step-by-step explanation:

Subtract 7-2=5.

Answer:

pencils=16

pen= 4ijsjh

Bugz

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US 3ju7hutwbh67s

Nigeria is a bad country my name

is Hanna and I am from the USA

I am from Arizona

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Answer:

4/7

Step-by-step explanation:

6-x/x+5 let us take x=2

6-2/2+5=4/7

Answer:

A. -2/9

Step-by-step explanation:

the actual answer is -0.22222222222, but it is not listed so the next best answer is A

Answer:

The answer is -0.22222222222

Step-by-step explanation:

Im sorry but there is no other answer :(

Answer:

1/2 + -5d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Exponential function:

Ordered pairs given:

Substitute x and y values to get below system:

Divide the second equation by the first one and solve for b:

Use the first equation and find the value of a:

The function is:

Answer:

[tex]y=5 \cdot 2^x[/tex]

Step-by-step explanation:

An exponential function is written in the form:

We can use the given points that the exponential function passes through to solve for a and b.

Create a system of equations by substituting (1, 10) and (4, 80) into the exponential form of a function.

Divide Equation I by Equation II in order to cancel out variable a.

Now we can solve for a by substituting b back into either equation from the system of equations.

Substitute 5 for a and 2 for b into the form of an exponential function to find the exponential function that passes through (1, 10) and (4, 80).

y = 5 · 2ˣ is the exponential function that describes the graph.

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

Given value:

[tex]\to f_X (x) \ \ xe^{-x} \ , \ x>0[/tex]

For point a:

Moment generating function of X=?

Using formula:

[tex]\to M(t) =E(e^{tx})= \int^{\infty}_{-\infty} \ e^{tx} f(x) \ dx[/tex]

[tex]M(t) = \int^{\infty}_{-\infty} \ e^{tx}xe^{-x} \ dx = \int^{\infty}_{0} \ xe^{(t-1)x} \ dx[/tex]

integrating the values by parts:

[tex]u = x \\\\dv = e^{(t-1)x}\\\\dx =dx \\\\v= \frac{e^{(t-1)x}}{t-1}\\\\M(t) =[\frac{e^{(t-1)x}}{t-1}]^{-\infty}_{0} -\int^{\infty}_{0} \frac{e^{(t-1)x}}{t-1} \ dx\\\\[/tex]  

        [tex]= \frac{1}{t-1} (0) - [\frac{e^{(t-1)x}}{(t-1)^2}]^{\infty}_{0}\\\\=\frac{1}{(t-1)^2}(0-1)\\\\=\frac{1}{(t-1)^2}\\\\[/tex]

Therefore, the moment value generating by the function is [tex]=\frac{1}{(t-1)^2}[/tex]

In point b:

[tex]E(X^n)=?[/tex]

Using formula: [tex]E(X^n)= M^{n}_{X}(0)[/tex]

form point (a):

[tex]\to M_{X}(t)=\frac{1}{(t-1)^2}[/tex]

Differentiating the value with respect of t

[tex]M'_{X}(t)=\frac{-2}{(t-1)^3}[/tex]

when [tex]t=0[/tex]

[tex]M'_{X}(0)=\frac{-2}{(0-1)^3}= \frac{-2}{(-1)^3}= \frac{-2}{-1}=2\\\\M''_{X}(t)=\frac{(-2)(-3)}{(t-1)^4}\\\\M''_{X}(0)=\frac{(-2)(-3)}{(0-1)^4}= \frac{6}{(-1)^4}= \frac{6}{1}=6\\\\M''_{X}(t)=\frac{(-2)(-3)}{(t-1)^4}\\\\M''_{X}(0)=\frac{(-2)(-3)}{(0-1)^4}= \frac{6}{(-1)^4}= \frac{6}{1}=6\\\\M'''_{X}(t)=\frac{(-2)(-3)(-4)}{(t-1)^5}\\\\M''_{X}(0)=\frac{(-2)(-3)(-4)}{(0-1)^5}= \frac{24}{(-1)^5}= \frac{24}{-1}=-24\\\\\therefore \\\\M^{K}_{X} (t)=\frac{(-2)(-3)(-4).....(k+1)}{(t-1)^{k+2}}\\\\[/tex]

[tex]M^{K}_{X} (0)=\frac{(-2)(-3)(-4).....(k+1)}{(-1)^{k+2}}\\\\\therefore\\\\E(X^n) = \frac{(-2)(-3)(-4).....(n+1)}{(-1)^{n+2}}\\\\[/tex]