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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Can you answer this for 20 points? With which countries was France at war in 1792 and 1793?
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:
Find the point-slope equation for the line that passes through the points (-6, 24) and (5, -31). Use the first point in your equation. y - [?] = [ ](x-[ ])
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
Answer: 700m^2
Step-by-step explanation:
length = 20m
breadth= 15m
so we use lateral surface area = 2(L+B) H
area of hall = 2(20+15)10
2×35×10 = 700m^2 ans
Find the square root. 1/16
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.
√(1/16) = √1 / √16
Since the square root of 1 is 1, and the square root of 16 is 4:
√(1/16) = 1/4
So, the square root of 1/16 is 1/4.
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3x-4y=-14 6x+3y=27 don’t understand how to solve
tama Ang kanyang sagot
Polar bears eat 8.4 pounds of fish a day. Penguins eat about 0.80 of that amount. How many pounds if fish do penguins eat?
Find the equation of the line that passes through both points (6,-5) (0,3)
Answer:
y = -4/3x + 3
Step-by-step explanation:
George wants to buy a new television that is on sale for 1/4 off the regular price of $599.96. The sales tax is 7%. What is the final price of the television including tax?
Answer:
641.96
Step-by-step explanation:
ayo!! listen to me this is an easy question :)
Apples are on sale at the local fruit stand at 4 lbs. for $2.60. Which equation can be used to find the cost, c, of n pounds of apples?
c = 4
c = .65n
c = 2.60n
c = 8n
Answer:
B ) c = 0.65n
Step-by-step explanation:
To find how much a single pound costs, divide the total cost by the total weight (2.60 ÷ 4). So, the cost (c), equals $0.65 per pound.
Need help ASAP 25 points
Answer:
The volume is 24 cubic cenimeters. Can i be brainlyest? Lol i know i spelled it wrong :l
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?
Answer: 3
Step-by-step explanation:
48 divided by 16 is 3
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
1 km = 1000 m
We have,
16 oz = 1 lb
Multiply 3 on both sides.
48 oz = 3 lb
Thus,
3 pounds of wood is in 48 oz.
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The entire digits of pie times the square root of 1
Answer:
3.1415926
Step-by-step explanation:
3.1415926 * 1 = 3.1415926
Answer:
g4 bk.58i
Step-by-step explanation:
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
Answer:
Step-by-step explanation:
*The dashes are the fraction line*
To find slope...
difference between y
-------------------------------
difference between x
2 - k
------- = 5
3 - 4
3-4 = -1 so...
-1 ( 2 - k ) = 5
k - 2 = 5
k = 7
Hope this helps!
Answer:
2.5 or 5/2
Step-by-step explanation:
Y2-Y1/X2-X1=m
(2-k)/(3-4)=5
(2-k)/-1=5
Multiply both sides by -1
(2-k)/2=-2.5
-k/-1=-2.5/-1
k=2.5 or 5/2
pls help me with this I have to go to bed soon( I need the volume of the sphere)
Volume= 4/3πr^3
r = 18m
Volume = 4/3*3.14*18^3
Volume = 4/3*3.14*5832
Volume= 24416.639999 m^3
- A unicycle tire has a radius of 13 inches. About how far will the unicycle travel in 20 rotations?
F.1633 inches
G.10,613 inches
H.82 inches
J.520 inches
Answer:
1061.32 you made a typo on G
Step-by-step explanation:
To find the distance travelled by the tire we need the circumference of it
The formula for circumference is 2πr we know pi is roughly 3.14 and the radius is 13
we plug the numbers in and get
2* 3.14* 13
6.28*13
81.64
81.64 is the circumference, now we simply just multiply 81.64 by 13 to get 1061.32
Im guessing number G was supposed to be 1061.32 instead of 10,613
The y-intercept of the the inverse of the function f(x) = 1/4 x-9/4 is
Answer:
Since f(x) is a linear equation the graph of f(x) is a line with a slope of –3/4 and a yintercept of (0, 2). In looking at the graph, you can see that ...
Rearrange p=r+3 to make r the subject
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
Plus is the operator of addition and p and r are variables
Subtracting 3 from both sides, we get:
p - 3 = r + 3 - 3
Simplifying the right-hand side:
p - 3 = r
Therefore, r = p - 3.
Hence, the equation p=r+3 can be rearranged as r=p-3
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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
triangle to one of the equal sides the sum is 18. What is the length of the base of the
triangle?
a)
2 inches
go to card 3
b) 14 inches
go to card 6
c) 9 inches
go to card 9
d) 16 inches
go to card 11
e) 4 inches
go to card 13
Answer:
D
Step-by-step explanation:
Slope of 4,-9 and 8,-3
Answer:
3+5=8 its question answer ok
Answer:
slope=. y2-y1/x2-x1
= -3+9/8-4
= 6/4
=3/2
A CIRCLE HAS A CIRCUMFENCE 43.96 YD FIND THE RADUIS OF THE CIRCLE
Answer:
≈ 7
Step-by-step explanation:
1/4 y + 9=1/2 A -34 b 2 c 9 d 38
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
Answer:
.
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)?
A sailboat with a sick passenger aboard is following a parabolic path given by the equation y=-2x+8. T...
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Find the slope of a graph
I'll GIVE BRAINLESS
Answer: 5/4
Step-by-step explanation:
On a loan of $4,500 for 2 1/2 years at 4% per year, how much do you wind up paying to pay off the loan?
Answer:
4,950
Step-by-step explanation:
4,500*.10=450
4,500+450=4,950
Hope this helps:)
I NEED HELP NOW ITS DUE TODAY AND I HAVE MORE AHHHHHHHHH
Lin needs to save up $20 for a new game. How much money does she have if she has saved 25% of her goal?
Answer:
She has $5
Step-by-step explanation:
Can someone please help me ASAP
Answer:
Look down below!
Step-by-step explanation:
Fist, make your inequality:
-x + 5y > -10
5y > x - 10
y = .2x - 2
Now, plug in any value of x to find y!
Ex: x = 5...
y = .2 (5) - 2
y = -1
Your first coordinate could be (5, -1)
Hope this helps!
find the value of -
[tex]( {x}^{2} - x)[/tex]
where, x = 5
Step-by-step explanation:
(x^2 -x)=(5^2-5)
=25-5 =20
Answer:
(x²-x)=(5²-5)
=(25-5)
=(20)ans..............
if sin theta = cos theta,theta is an acute angle then tan theta=?
please answer within one hour
I will mark u brainliest
Answer:
hope it helped have a good day mate
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?