The table of values represents an exponential function ​f(x). What is the average rate of change over the interval −2≤x≤2? Enter your answer, as a decimal rounded to the nearest hundredth, in the box.
−3 64
−2 16
−1 4
0 1
1 1/4
2 1/16
3 1/64
(Worth 60pts)

Answer:

4

Step-by-step explanation:

3b=12

Divide each side by 3

3b/3 =12/3

b =4

Answer:

Step-by-step explanation:

Given,

3b = 12

=> b = 12 ÷ 3

=> b = 4 (Ans)

Answer:

True

Step-by-step explanation:

We are given that system of equation

x<3

y>3

We have to find that there is no solution of system of equation is true or not.

First we change inequality equation into equality equation

x=3

y=3

When x=0

0<3

It is true equation therefore, the shaded region towards the origin.

When y=0

0>3

It is false equation. Therefore, the shaded region above the origin.

From the graph

There is  no solution of system of equation.

Hence, option true is correct.

Step-by-step explanation:

DE/CE=AB/CB

6/10=100/(CE+BE)

6/10=100/(10+BE)

reducing fraction

3/5=100/(10+BE)

3(10+BE)/5 =100

3(10+BE)=500

BE=(500/3)-10

BE=470/3

BE=156.67ft

Answer:

my last answer was why the sum of two known angles is equal to the exterior angle so now you can use the easier way:

add the two known angles.

41+107 = 148

that means the exterior angle is equal to 148

x=148

Step-by-step explanation:

Answer:

148

Step-by-step explanation:

The first thing that you want to do is find the missing angle on the inside of the triangle as that angle is supplementary (an angle that when put together it adds up to 180°). So,

In accordance to the triangle sum theorem all of the angles inside the triangle must add up to 180°. For this equation will call the missing interior angle n.

41+107+n=180

148+n=180

n=32

So with this we know that the interior angle is 32°, now all we have to do is subtract 180 by 32 as the X and angle n are supplementary angles

180-32 = 148°

And that is you’re answer!

Answer: the answer is 213.4

Stepby-step explanation:

First you multiply 10.8 and 19.8 then your done

Answer:

10.8 ÷ 6

1.8

Step-by-step explanation:

Answer:

$127

Step-by-step explanation:

Ur welcome :)

Answer:

ST= 5.2

RT= 23.6

Step-by-step explanation:

Answer:

ST= 5.2

RT= 23.6

Step-by-step explanation:

I don't know what the question is but I'm pretty sure the answer is 5.5.

X = 5.5 or the price of each cake is 5.5$

Answer: 4 thousands, 5 hundreds, 7 tens

Step-by-step explanation: 4,570 is pretty easy to break down. The first place value is 0 so nothing for that. As you have it there the tens place values has 7. Next is hundreds and there's a 5 there so 5 hundreds. If the number is 4,570 then it should be 4 thousands not three.

2. 144/1:2 is 144/ ½ = 144 x 2/1 = 288

Answer:

(-12x - 25) / (x + 3) (x - 5)

Step-by-step explanation:

1 - 2x/(x+3) + (x+3)/(x - 5)

= {(x + 3)(x - 5) - 2x(x - 5) + (x + 3)(x - 3)} / (x + 3) (x - 5)

= {(x² -5x + 3x - 16) - (2x² + 10x) + (x² - 3x + 3x - 9)} / (x + 3) (x - 5)

= x² - 2x - 16 - 2x² - 10x + x² - 9 / (x + 3) (x - 5)

= x² - 2x² + x² - 2x - 10x - 16 - 9 / (x + 3) (x - 5)

= (-12x - 25) / (x + 3) (x - 5)

Answer:

y+3x+1

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

because its 4

The length of Line segment AC is 12ft.

The given triangle ABC is similar to triangle BMN

The length of AM = BM = 4ft

The length AB = BM + AM = 4 ft + 4ft = 8ft

The length of Line segment AC is calculated by using similar triangle proportions as follows;

[tex]\frac{AB}{BM} = \frac{AC}{MN} \\\\\frac{8}{4} = \frac{AC}{6} \\\\2 = \frac{AC}{6}\\\\AC = 2(6)\\\\AC = 12 \ ft[/tex]

Learn more about similar triangles here: https://brainly.com/question/11899908

Answer: Wowwww that ain't good at all and sooo not fair if Peter worked three more days than Jill but still only got twenty bucks. That's pretty sad.

Step-by-step explanation:

The answer is :

- i

I hope this helps

Answer:

-i

Step-by-step explanation:

just did it on edg 2021

Answer:

67.5

Step-by-step explanation:

The sum of the interior angles is 540, therefore

540 = 90 + 4y

540 - 90 = 4y

450 = 4y

450 / 4 = y

112.5 = y

X and Y together equal 180, therefore

180 = x + 112.5

180 - 112.5 = x

67.5 = x

Answer:

D would be the answer

Step-by-step explanation:

Took the test got it correct <33 good luck

Answer:

Option D can be your answer

The true statement about geometric figure is

One plane can be drawn so it contains all three points.

A plane is a flat, endlessly long, two-dimensional surface. A plane is a two-dimensional analogue that can incorporate three dimensions of space, a line, and a point.

We have three points R, S and T.

So, there are infinitely many planes that pass through the line that contains the three points if the three points are colinear.

There is a plane that contains our three points if we have three separate points in 3-space.

So, For the three points R, S, and T, the third assertion is accurate.

Learn more about Plane here:

https://brainly.com/question/1962726

#SPJ7

56 over 15

hope this help yoooooooooooooooooooo

Answer:

22/15

Step-by-step explanation:

(1/3 + 2/5) x (2 - 1/2) ÷ 3/4

=(5/15 + 5/15) x (4/2 - 1/2) ÷ 3/4

=11/15 x 3/2 ÷ 3/4

=11/15 x 3/2 x 4/3

=22/15

Hope this helps! Have a nice day!

Answer:

The dependent variable is y (the amount paid)

Step-by-step explanation:

Given

[tex]y = 5x[/tex]

Where

[tex]x \to[/tex] number of movies

[tex]y \to[/tex] amount paid

Required

The dependent variable

From the question, we have:

[tex]y = 5x[/tex]

This means that the value of y is determined by the value of x.

Take for instance:

[tex]x = 2[/tex]

The value of y will be:

[tex]y =5*2 = 10[/tex]

If x changes (say; x = 12), y will also change

[tex]y =5*12 = 60[/tex]

Hence, y is the dependent variable

Answer:

The length of the third side is approximately 193.14 cm

Step-by-step explanation:

The given dimensions of the sides of triangle ΔVWX are;

X = 160 cm

V = 150 cm

The measure of the included angle, m∠W = 77°

By cosine rule, we have;

w² = v² + x² - 2·v·x·cos(W)

∴ w² = 150² + 160² - 2 × 160 × 150 × cos(77°) ≈ 37,302.35

∴ The length of the third side, w = √37,302.35 ≈ 193.14

The length of the third side, w ≈ 193.14 cm

Answer:

E

Step-by-step explanation:

If you break each classification of what items metter most you get the following percentahes:

Books             48%

Study Areas     5%

Classes             6%

Movies             20%

A - you could make an argument that this MAY be an accurate reflection but the percentage does not bring 15% into the data so this seems like conjecture.

B - Data suggest a higher support for books at 48%

C - Data suggest 1 or two in a group of 25 would answer study areas

Answer:

The answer is "287.19"

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]\alpha=1-0.90=0.10\\\\\frac{\alpha}{2}=0.05\\\\Z=1.64\\\\Marginal \ error=Z \times \frac{\sigma_x}{\sqrt{n}}\\\\n=(\frac{Z \times \sigma_x}{error})^2\\\\n=(\frac{1.64 \times 31}{3})^2\\\\n=287.1895\approx 287.19[/tex]

Answer:

it's 2 obviously

Step-by-step explanation:

thanks

Answer:

10⁷

Step-by-step explanation:

Just count the number of zero and raise the counted number of zero.

Answer:

0.625 liters

Step-by-step explanation:

Given data

volume drained= 2.5Liters

Time= 4 days

Now the if 4 days leakage will produce a volume of 2.5Liters

Then 1 day will produce a volume of x liters

cross multiply

4x= 2.5

x= 2.5/4

x= 0.625 liters per day

Hence, each day will produce  0.625 liters

Answer:

What are we supposed to do on this

Step-by-step explanation:

Answer:   the dilated point will be 2 units at the right of P, and 3 units above P.

Step-by-step explanation:

Answer:

C. 904.32 cubic units

Step-by-step explanation:

the volume = π×r²×h

= 3.14 × 6²×8

= 3.14×288

= 904.32