Find the average value of the function y = 2x4 over the interval [- 2,2].

Answers

Answer 1

Answer:

ave. val. = -------------- = 0

Step-by-step explanation:

That's y = 2x^4 (the ^ symbol indicates exponentiation).

The average value of a function f(x) over the interval [a, b] is

                    f(b) - f(a)  

ave. val. = ----------------

                       b - a

Here a = -2, b = 2 and f(x) = 2x^4.  Thus, f(a) = 2(-2)^4 = f(b) = 2(2)^4 = 32, and

the average value is:

                  32 - 32

ave. val. = -------------- = 0

                     2 - (-2)


Related Questions

Consider the sequence 4,-12,36,-108... What is the 9th term in the sequence

Answers

Answer:

The 9th term in the sequence is 29

Step-by-step explanation:

can i have brainliest please

Answer:

he 9th term in the sequence is 29Step-by-step explanation:

A certain pipe can be used to fill a pool with water in 2 hours. A second pipe can be used to fill the pool in 4 hours. How long does it take to fill the pool when both pipes are used at the same time?​

Answers

Answer:

1 1/3 hours

Step-by-step explanation:

Pipe 1 alone:

fills the pool in 2 hours

in 1 hour, it fills 1/2 of the pool

Pipe 2 alone:

fills the pool in 4 hours

in 1 hour, it fills 1/4 of the pool

Pipe 1 and Pipe 2 working together:

fill the pool in x hours

in 1 hour, they fill 1/x of the pool

Working together, in 1 hour the two pipes fill 1/2 + 1/4 of the pool.

Working together, in 1 hour the two pipes fill 1/x of the pool.

Therefore,

1/2 + 1/4 = 1/x

2/4 + 1/4 = 1/x

3/4 = 1/x

x = 4/3

x = 1 1/3

Answer: 1 1/3 hours

Help i don't know what to do please help

Answers

B and C
Then do D
Hoped this helped

Answer:

I would need to hear it.

Step-by-step explanation:

But I really need help to pass

Answers

Answer:

the cane

Step-by-step explanation:

The candy cane thing. If you can draw a line through it and see a mirror image, it’s symmetrical. The candy cane has no reflection/symmetry line.

Yazeron or whatever your name is dont answer this but can someone help me
ASAP I WANT TO GO TO BED

Answers

Answer: No

Step-by-step explanation: The length isn't 90 degree's so it can't be a right triangle

A 2025633
1)(a)(a)
3(3)(5)(5)(a(a)
Which expressions listed on the left are equivalen
36a8? Check all that apply. (Assume that a 7 0.
22502
B
466
25
D A
13
C.
25
B.
DES
В С
E
3 D
Е Е

Answers

Answer:

if I'm not mistaken I think your answer will be B

The equivalent expressions for [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex] are A, B and E.

What is Square Root?

Square root of a number is the value such that the value when multiplied to itself two times gives the original number.

It is denoted by the symbol √.

Given expression is [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex].

There are five expressions in the left.

A. [tex]\sqrt{\frac{2(2)(3)(3)(a)(a)(a)(a)(a)(a)(a)(a)}{3(3)(5)(5)(a)(a)} }[/tex]

Here we have to multiply the terms in the numerator as well as in the denominator.

2(2)(3)(3) = 36 and 3(3)(5)(5) = 225

So this expression is equivalent to the given  [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex].

B. [tex]\sqrt{\frac{4a^6}{25} }[/tex]

We know that, greatest common factor of 36 and 225 is 9.

36/9 = 4 and 225 / 9 = 25

Also a⁸ / a² = a⁸⁻² = a⁶

So this is also an equivalent expression.

C. [tex]\frac{6}{25} \sqrt{ \frac{a^8}{a^2} }[/tex]

This is not equivalent since √225 = 15, not 25.

D. [tex]\frac{6}{15} a^4[/tex]

This is also not equivalent since  [tex]\sqrt{ \frac{a^8}{a^2} }[/tex] = [tex]\sqrt{a^6}[/tex] = a³, not a⁴.

E. [tex]\frac{2}{5} a^3[/tex]

This is equivalent expression since √36 = 6 and √225 = 15.

[tex]\sqrt{\frac{36a^8}{225a^2} }[/tex] = [tex]\frac{6}{15}[/tex] [tex]\sqrt{ \frac{a^8}{a^2} }[/tex] = [tex]\frac{2}{5}[/tex] [tex]\sqrt{a^6}[/tex] = [tex]\frac{2}{5} a^3[/tex]

Hence the equivalent expressions are A, B and E.

Learn more about Expressions here :

https://brainly.com/question/28170201

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Your question is confusing. The image of the question is attached below.

can someone please help me with this? (i will mark brainliest) (LMNP is rotated 180 degrees clockwise around the origin. what are the coordinates of L?)

Answers

Answer:

L's coordinates would go from being (x,y) to (-x, -y)

Step-by-step explanation:

So like, if L's coordinates were (5, 7) after rotation it would be (-5, -7)

If you were working backward and with L' being rotated you would do (-5, -7) change the sign and do (5,7) for L

Consenquently if you had a negative to begin with- L (-3, -4) L' would be the opposite sign and be (3,4)

I'd appreciate any help I can get! :) A gold statue has a diameter of 60 inches and a height of 80 inches. It has a total volume of 320 inches cubed. The replica is proportional to the statue. The replica's height is 100 inches. What is the replica's volume?

Answers

Answer:

Volume of replica = 625 cubic inches

Step-by-step explanation:

Height of the gold statue = 80 inches

Volume of the gold statue = 320 cubic inches

Height of the replica = 100 inches

Dimensional scale factor = [tex](\frac{\text{Dimension of the replica}}{\text{Dimension of the original statue}})[/tex]

                                      = [tex]\frac{100}{80}[/tex]

                                      = 1.25

Volume scale factor = [tex]\frac{\text{Volume of replica}}{\text{Volume of original}}[/tex]

Since, volume scale factor = (Dimensional scale factor)³

[tex]\frac{\text{Volume of replica}}{\text{Volume of original}}=(1.25)^3[/tex]

Volume of replica = (1.25)³ × Volume of original statue

                              = (1.25)³ × 320

                              = 625 cubic inches

A line passes through the points (-5, 9) and (-7, -5). What is its equation in point-slope
form?

Use one of the specified points in your equation. Write your answer using integers, proper
fractions, and improper fractions. Simplify all fractions.

Answers

Answer:

77777777777777777777

Answer:

y-9=7(x+5)

Step-by-step explanation:

Point-Slope form is

[tex]y-y_{1} =m(x-x_{1} )[/tex]

where m equals the slope of the line and y1 and x1 represent the y and x coordinates of one of the points on that line.

First, let's find the slope (change in y divided by the change in x):

[tex]\frac{9-(-5)}{-5-(-7)} =\frac{14}{2} =7[/tex]

Now, let's choose any one of the two points, I'll pick (-5,9), but (-7, -5) also works.

Substitute in the y value (in this case 9) for y1 and substitute the x value (in this case -5) for x1

We can also substitute the slope, m which we know is 7.

y-9=7(x-(-5)

y-9=7(x+5)

Find the triangles area drawing not to scale.

Answers

Answer:

35 lol

Step-by-step explanation:

a = b*h/2

a = 10*7/2

a = 70/2

a = 35 lol

Will has a spinner with six equal sections numbered one through six. If Will spins the spinner 150 times, how many times can he expect to spin a number less than 5

Answers

Answer= x=100

4/6 = x/150

So you will want to use the cross strategy

6x = 150(4)
6x = 600
6x ÷ 6 = 600 ÷6
x =100



the plastered wall of the house is 15m long and 10m wide. what is the area of the wall​

Answers

Answer:

150 m^2

Step-by-step explanation:

Area of a rectangle (which describes this wall) is A = L * W.

In this case, the area is A = (15 m)(10 m) = 150 m^2

i need help pls..........

Answers

Answer:

a 14.3

Step-by-step explanation:

23 divided by 4 is 14.3

If an isosceles triangle has one side that is
twice the length of its shortest side, and
its perimeter is 65 inches, what are the
measurements of its three sides?

Answers

Answer:

.

Step-by-step explanation:

Urgent: Find value of X

Answers

Answer:

x=44 degrees

Step-by-step explanation:

A line = 180 degrees

Given degrees: 136

180-136= 44

yes x=44 because it is a straight line that equals 180

what is polynomail area​

Answers

Answer:

2x²-8 if it doesnt give you x=   if it gives you an x= then comment it and ill work it out.

Step-by-step explanation:

it was pretty simple

hshsvsjsn svshsismsnsbs​

Answers

Answer:

C. 5.44

Step-by-step explanation:

Isaac received 125 for his birthday. He spent 65 on a new video game. How much money, x, how much does issac have

Answers

Answer: $60

Step-by-step explanation:

4. Find the measure of arc WXY.

Answers

Answer:

200

Step-by-step explanation:this problem is actually very simple. a circle and a max measure of 360 so all you do is subtract 160 from 360 and there you go.     :)

Write the equation of the line which passes through (1, 2) and with slope of −1/3
in standard form.

Answers

Answer:

         x + 3y = 7            

Step-by-step explanation:

The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:

                                y - y₁ = m(x - x₁)

m = -¹/₃

(1, 2)    ⇒   x₁ = 1,  y₁ = 2

Therefore,  the equation of the line which passes through (1, 2) and with slope of −1/3 in point-slope form:

y - 2 = -¹/₃(x - 1)

y - 2 = -¹/₃x + ¹/₃                     {add ¹/₃x to both sides}

¹/₃x + y - 2 = ¹/₃                     {add 2 to both sides}

¹/₃x + y = 2¹/₃                       {multiply both sides by 3}

x + 3y = 7            


PLEASE ANSWER THIS
imagine is above
Figure 3 shows the electronic structure of an atom.
Figure 3
Electron
Nucleus
RON
This element is in the shaded group on Figure 2.
Why is this element unreactive?

Answers

Answer:

huh looks simple....it's unreactive because it's already stable

Step-by-step explanation:

it has eight electrons in the outer most energy level making it stable so it doesn't need to loose or gain electrons

1/2x - 7 = 1/3 (x- 12)

Answers

Answer:

x = 18

Step-by-step explanation:

1/2x - 7 = 1/3 (x- 12)

Multiply both sides by 3

3 * 1/2x - 3 * 7 = 3 * 1/3 (x - 12)

3/2x - 21 = x - 12

Collect like terms

3/2x - x = 21 - 12

1/2x = 9

Multiply both sides by 2

x = 2 * 9

x = 18

Answer:

x = 18

hope this helps! :)

Which expression in equivalent to 48x-6+3y/3

Answers

Answer:

48x-6+y

Step-by-step explanation:

The expression that should be equivalent to the given expression is to be considered as the 16x - 2 + y.

Calculation of an expression:

Since the equation is [tex]48x-6+3y\div 3[/tex]

We have to divide by whole equation by 3

After dividing it, the expression should be like 16x - 2 + y.

Hence, The expression that should be equivalent to the given expression is to be considered as the 16x - 2 + y.

Learn more about an expression here: https://brainly.com/question/14946461

In 1968, it cost $54,000 for a 30 second commercial during the super bowl. In 1973, the cost for a 30 second commercial was $88,000. What is the percent increase, round to the nearest whole number, in the cost of a 30 second commercial from 1968 to 1973?

Answers

Answer:

you idiot are you joking

please help me lol. The figure on the left is reflected using line l to form the image on the right. Use the information in the original figure to label the corresponding parts in
the image.
Ite!
Ite
2.2
Ite
Ite
O
143
3.2
0
Ite
1084
Ite
639
O
o
Ite
Ite

Answers

Answer and Step-by-step explanation:

The sides and angles should be the same as the un-reflected version, except everything is flipped. Please see attached picture for reference.

#teamtrees #PAW (Plant And Water)

The sides and angles should be the same as the un-reflected version, except everything is flipped, thus the corresponding parts are attached below.

Explanation of how reflection across axis works?

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.

If study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

Thus, if we are reflecting  a point (x,y) along x axis, then its x abscissa will stay same but y ordinates will negate. Thus (x,y) turns to (x, -y)

Similarly, if we are reflecting a point (x,y) along y axis, the resultant image of the point will be (-x,y)

The sides and angles should be the same as the un-reflected version, except everything is flipped, thus the corresponding parts are attached below.

Learn more about reflection here;

https://brainly.com/question/28186407

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Please help ASAP i don’t know how to do this

Answers

Answer:

c = 74

d = 122

a = 58

b = 48

Step-by-step explanation:

C: a triangle always equals to 180, so 48 + 58 - 180 = 74

D: Angels next to each other on a line always equal to 180, so 180 - 58 = 122

A: Alternating interior angles of a parallel line equal to each other, so it would also be 58

B: A line is 180, so C + A - 180 = B, 74 + 58 - 180 = 48


Help me out please?

Answers

Answer:

perpendicualr

Step-by-step explanation:

Answer:

Perpendicular

Explanation:

how do you do it please help me with this problem

Answers

Step-by-step explanation:

with which problem....not visible

Answer:

What is the problem?

Solve for x
I need help fast

Answers

Answer:

4x-1=1/2(10x-20)

8x-2=10x-20

-2x=-18

X=9

Given the 3 points A(0;1) , B(5;0) , and C(4;2)

a) Find the coordinates of M the midpoint of [AB]

b) Find the coordinates of G the center of gravity of the triangle ABC .​

Answers

Answer:

The answer is below

Step-by-step explanation:

a) If O(x, y) is the midpoint between two points X(x₁, y₁) and Y(x₂, y₂)m then the coordinates of O is:

x = (x₁ + x₂)/2;     y = (y₁ + y₂) / 2

Since M(x, y) is the midpoint of AB, then the coordinates of M is:

x = (0 + 5) / 2 = 2.5;     y = (1 + 0)/2 = 0.5

M = (2.5, 0.5)

b) The center of gravity is gotten by finding the average of the x coordinates and the y coordinates of the vertices of the triangle.

Let O(x, y) be the center of gravity of triangle ABC, hence;

x = (0 + 5 + 4) / 3 = 3

y = (1 + 0 + 2) / 3 = 1

O = (3, 1)

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