If the average value of the function f on the interval 1≤x≤4 is 8, what is the value of ∫41(3f(x) 2x)dx ? 30 30 39 39 78 78 87

Answers

Answer 1

The value of ∫[1, 4] (3f(x) * 2x) dx is 144.

Given that the average value of the function f(x) on the interval [1, 4] is 8, we can write it as:

(∫[1, 4] f(x) dx) / (4 - 1) = 8

From this equation, we can find the integral of f(x) over the given interval:

∫[1, 4] f(x) dx = 8 * (4 - 1) = 24

Now, we are asked to find the value of ∫[1, 4] (3f(x) * 2x) dx. To solve this, we can use the linearity of the integral, which states that the integral of a sum is the sum of the integrals, and that the integral of a constant times a function is the constant times the integral of the function:

∫[1, 4] (3f(x) * 2x) dx = 3 * 2 * ∫[1, 4] f(x) dx

We have already found the value of ∫[1, 4] f(x) dx, which is 24. So, we can substitute this value into the equation:

3 * 2 * 24 = 6 * 24 = 144

Therefore, the value of ∫[1, 4] (3f(x) * 2x) dx is 144.

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Step-by-step explanation:

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Answer:

She has $5

Step-by-step explanation:

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Volume= 4/3πr^3

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A savings account earns 7% interest each year, compounded quarterly (4 times a year). If a person invests $300 and makes no further deposits or withdrawals, what is the balance in the account after 5 years​

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Step-by-step explanation:

A sailboat with a sick passenger abroad is following a parabolic path given by the equation = − 2 +2 + 8.
The boat’s captain sent out a distress signal. A speedboat is trying to catch the sailboat to provide medical aid and is on a path given by the linear equation y=- x+8. Besides the y-intercept (starting location) where do the paths of the two boats cross (for each graph you must plot at least 3 points each and give answer in coordinate pair notation)?

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A sailboat with a sick passenger aboard is following a parabolic path given by the equation y=-2x+8. T...

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if the slop of the straight line passing through the two points A (4, k) , B (3, 2) is 5, find the value of K

Answers

Answer:

Step-by-step explanation:

*The dashes are the fraction line*

To find slope...

difference between y

-------------------------------

difference between x

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-------  =  5

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3-4 = -1 so...

-1 ( 2 - k ) = 5

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Hope this helps!

Answer:

2.5 or 5/2

Step-by-step explanation:

Y2-Y1/X2-X1=m

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Can you answer this for 20 points? With which countries was France at war in 1792 and 1793?

Answers

Answer:

They pitted France against Great Britain, the Holy Roman Empire, Prussia, Russia, and several other monarchies. They are divided in two periods: the War of the First Coalition (1792–97) and the War of the Second Coalition (1798–1802)

Step-by-step explanation:

Rearrange p=r+3 to make r the subject

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Answer:

r = p-3 this is correct answer of this question

The equation  p=r+3 can be rearranged as r=p-3

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is p=r+3

p equal to r plus r

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Subtracting 3 from both sides, we get:

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Simplifying the right-hand side:

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Answer:

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if sin theta = cos theta,theta is an acute angle then tan theta=?
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sin θ = cos θ

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Answer:

hope it helped have a good day mate

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Answer:

y = -4/3x + 3

Step-by-step explanation:

ayo!! listen to me this is an easy question :)

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Answer:

B ) c = 0.65n

Step-by-step explanation:

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Step-by-step explanation:

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Answers

6.72

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PLS SHOW HOW YOU SOLVED THE PROBLEM
15. The perimeter of an isosceles triangle is 34 inches. When you add the base of the
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Answer:

D

Step-by-step explanation:

Angel repairs used furniture. He expects to use 48 oz of wood filler this month. There are 16 oz in 1 lb. How many pounds of wood filler does Angel expect to use this month?

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Answer: 3

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The number of pounds expected to use this month is 3 pounds.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 hour = 60 minutes

1 minute = 60 seconds

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16 oz = 1 lb

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3 pounds of wood is in 48 oz.

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Answers

Answer:

The square root of 1/16 is 1/4=0.25

Step-by-step explanation:

The square root of 1/16 is 1/4.

To find the square root of 1/16, you can take the square root of the numerator and the denominator separately.

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Since the square root of 1 is 1, and the square root of 16 is 4:

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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It should be y1 - y2/x1 - x2 this is supposed to be a fraction


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Answer:

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Step-by-step explanation:

the length and breadth of a hall are 20m and 15m respectively. find the area of 4 Walls of the hall if the height of the hall is 10 m​

Answers

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Step-by-step explanation:

length = 20m

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Need help ASAP 25 points

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Answer:

The volume is 24 cubic cenimeters. Can i be brainlyest? Lol i know i spelled it wrong :l

Step-by-step explanation:

find the value of -
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Answers

Step-by-step explanation:

(x^2 -x)=(5^2-5)

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Answer:

(x²-x)=(5²-5)

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Answers

Answer:

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Step-by-step explanation:

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g4 bk.58i

Step-by-step explanation:

A rectangle has a length of 2y inches and a width of y - 4 inches. If the perimeter of the rectangle is 22 inches, what is y? What is the length? What is the width?

Answers

P = 2( l + w)
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4y + 2y = 6y and add (-8) on both sides of the equation to equal: 6y = 30
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Check:
4(5) + 2(5) - 8 = 22
20 + 10 - 8 = 22
30 - 8 = 22 ✅
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