In the diagram, triangle MNO maps to triangle M'N'O'.
Identify the corresponding angles.

Answer:

Step-by-step explanation:

Yes correct.

Commutative property upon integer addition/subtraction

-3 + 2 = 2 - 3

Answer:

[tex]Rate = 15[/tex]

Step-by-step explanation:

Given

[tex]R(x) = 56 - 0.020x^2[/tex]

Required

Find the average change from​ 1,000 car seats to​ 1,050 car seats --- Missing information

This is calculated using:

[tex]Rate = \frac{R(b) - R(a)}{b-a}[/tex]

In this case:

[tex]a = 1000[/tex]

[tex]b = 1050[/tex]

Now, we have:

[tex]Rate = \frac{R(1050) - R(1000)}{1050-1000}[/tex]

[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]

Calculating R(1050)

[tex]R(1050) = 56 *1050- 0.020*1050^2[/tex]

[tex]R(1050) = 58800-22050[/tex]

[tex]R(1050) = 36750[/tex]

Calculating R(1000)

[tex]R(1000) = 56 *1000- 0.020*1000^2[/tex]

[tex]R(1000) = 56000- 20000[/tex]

[tex]R(1000) = 36000[/tex]

So:

[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]

[tex]Rate = \frac{750} {50}[/tex]

[tex]Rate = 15[/tex]

The average rate of change is 12

Answer:

The model is [tex]P(t) = 2000(1.075)^{t}[/tex].

There will be 4122 fish in 10 years.

Step-by-step explanation:

Exponentially increasing population:

An exponentially increasing population can be represented by the following model:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(t) is the population after t years, P(0) is the initial population, and r is the growth rate, as a decimal.

A population of 2000 fish increases at an annual rate of 7.5%.

This means that [tex]P(0) = 2000, r = 0.075[/tex]

So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = 2000(1+0.075)^t[/tex]

[tex]P(t) = 2000(1.075)^{t}[/tex]

This is the model.

How many fish will there be in 10 years?

This is P(10).

[tex]P(t) = 2000(1.075)^{t}[/tex]

[tex]P(10) = 2000(1.075)^{10} = 4122[/tex]

There will be 4122 fish in 10 years.

Answer:

10

Step-by-step explanation:

Answer:

3 is the correct answer..

Answer:

6/25

Step-by-step explanation:

its a probability  out of all the odd numbers such as 1,3,5,7,9,11,13,15,17,19,21,23,25

Answer:

x=2/3 because you divide -12 by 3 to get 4 so you need to divide 2 by 3

Step-by-step explanation:

Answer:

x = -1

y = 7

Step-by-step explanation:

We have a system of equations and are asked to solve using substitution.

y = -7x

2x - y = -9

Since we have an equation for y by itself, we can plug the first equation into the second.

2x - (-7x) = -9

Distribute :

(-(-7x))

2x + 7x = -9

Add like terms :

9x = -9

Divide 9 by both sides to get x :

x = -1

Now that we know x, we can plug it into the first equation to find y :

y = -7(-1)

y = 7

Answer:

Q=(a,b,c,d)

S=(a,d,g)

QUS=(a,b,c,d,g) Union of set means all the elements in both set.

Answer:

Profundidad 1= 15,5 metros

Profundidad 2= 15,5 metros

Frente 1= 7,5 metros

Frente 2= 7,5 metros

Step-by-step explanation:

Suma todo y da 46 metros que es la medida de la cerca.

resta la profundidad con el frente y da 8 metros que es la diferencia o los metros más.

:)

The answer is 87.12

Just check it once

Answer:

87.92

that is the answer

3.14(4^2+12)

this is how it looks in normal form without a and b

4^2 is going to be 16

16+12= 28

3.14 times 28= 87.92

Step-by-step explanation:

Answer: 360 in. squared

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I did it and got it right

The answer your looking for is 4.

Step-by-step explanation:

This is because ⬇

     80

➗ 20

       4

You can check this by doing 20 * 4 if needed.

Therefore 4 is your answer.

( Sorry this is late )

Answer:

more context please?

Step-by-step explanation:

Answer:

28% of 0.392=0.10976

Step-by-step explanation:

1. We assume, that the number 0.392 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 0.392 is 100%, so we can write it down as 0.392=100%.

4. We know, that x is 28% of the output value, so we can write it down as x=28%.

5. Now we have two simple equations:

1) 0.392=100%

2) x=28%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

0.392/x=100%/28%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

Solution for what is 28% of 0.392

0.10976

40m+35=

Step-by-step explanation:

I'm not sure but I think it is this

40m+35=

Answer:

Molly: 21

Page: 14

Demi: 7

Step-by-step explanation:

Hope this helps! ;)

Answer:

is there supposed to be answer choices?

Step-by-step explanation:

Answer:

2.11

Step-by-step explanation:

In order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).

The number of times that each prime divides the original integer becomes its exponent in the final result.

In our example,

    Prime number  to the power of  equals .

    Prime number  to the power of  equals .

Answer: great adventure theme park is more expensive

Step-by-step explanation:

Given:

The two functions are

[tex]f(x)=3x+1[/tex]

[tex]g(x)=x^2-6[/tex]

To find:

The function (f+g)(x).

Solution:

We know that,

[tex](f+g)(x)=f(x)+g(x)[/tex]

Putting the values of given functions, we  get

[tex](f+g)(x)=3x+1+x^2-6[/tex]

[tex](f+g)(x)=x^2+3x+(1-6)[/tex]

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

Therefore, the required function is [tex](f+g)(x)=x^2+3x-5[/tex].

Answer:

(9)(27) also 243

Step-by-step explanation:

So, 3^2=9, and 3^3=27, so (3^2)(3^3) is equal to (9)(27) or 243

Answer:

Irrational

Step-by-step explanation:

Answer:

48 kilometers

Step-by-step explanation:

If Toby has traveled to work 3 times, and each time he traveled 14 kilometers, to find out how many kilometers he's traveled total, all you have to do is multiply 14 x 3, which equals 42. To find out how many kilometers he's traveled in all this year, just add the amount of kilometers he has already traveled. (42+6)

Answer:

not rlly

Step-by-step explanation:

you need more information to solve that type of equation

Answer: NO

Step-by-step explanation:

Given

y=x²-7x

Substitute the [solution] into the equation

y=x²-7x

2=(4)²-7(4)

2=16-28

2=-12

2≠-12

Therefore, (4, 2) is not a solution

Hope this helps!! :)

Please let me know if you have any questions

Answer:

That is statement is true

Answer:

-3⁵

Step-by-step explanation:

3⁶ / -3 = -3⁶ * -3⁻¹ = -3⁶⁻¹ = -3⁵

Answer:

(-3)⁶/(-3) = {(-3)×(-3)×(-3)×(-3)×(-3)×(-3)}/(-3) = (-3)⁵