Find the average of f(x)=x^3-x over [0,2]
Answers
9514 1404 393
Answer:
1
Step-by-step explanation:
The average value of the function is the integral over the interval, divided by the width of the interval.
[tex]\displaystyle\overline{y}=\frac{1}{2-0}\int_0^2{f(x)}\,dx=\left.\frac{1}{2}\left(\frac{x^4}{4}-\frac{x^2}{2}\right)\right|_0^2=\frac{1}{2}\left(\frac{2^4}{4}-\frac{2^2}{2}\right)=\frac{4-2}{2}\\\\\boxed{\overline{y}=1}[/tex]
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Related Questions
Xavier writes a ratio out of 18 as the decimal 0.22222222.
Answers
Answer: 4/18
Step-by-step explanation:
The ratio 4:18 can be written as the decimal 0.22222222, so the value in the numerator is 4.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We have:
Xavier writes a ratio out of 18 as the decimal 0.22222222.
Let's suppose the x out of 18 can be written as 0.22222222
x/18 = 0.22222222
x = 3.999999 ≈ 4
It means 4/18 can be written as 0.22222222
Thus, the ratio 4:18 can be written as the decimal 0.22222222, so the value in the numerator is 4.
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Find the measures of all the interior angles of the non-convex figure below.
Answers
Answer:
angle 3x = 78°
angle opposite (4x + 30) = 226°
Step-by-step explanation:
It has 6 sides, so:
total interior angles sum = (180° x 6) - 360° = 720°
720° = 90° + 3x + 90° + 118° + (360° - (4x + 30°)) + 118°
combine like terms:
720° = 3x + 416° + (360° - 4x - 30°)
720° = -x + 746°
x = 26°
Write rational numbers between 0 and 1
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please also say how did you solve it
this question has 10 points
I will mark you as Brillant if you answer it
Answers
Step-by-step explanation:
0/1 , 1/1
Multiply there denominators with any number...
0/1×60=0/60
1/1××60=60/60
Now,
You have many choices...
1/60,10/60,30/60,2/60,5/60........so on....
functions A and B are shown in the equation and graph. select the true statement.
Answers
I have done that befor
Can someone help me?
Answers
Challenge #1 Press "Deal" to receive your cards. Drag cards from your hand to the red and blue area GOAL: Create two groups of cards with the SAME SUM using as many cards as possible. Submit 8,7,6,3,2,1
Answers
Answer:
ok
Step-by-step explanation:
:)
The function, f(x), is plotted below.
Evaluate the limits, if they exist. If not, write DNE.
Limit as x approaches negative 1 minusf(x) =
Limit as x approaches 3 plusf(x) =
Limit as x approaches 1 f(x) =
Answers
Answer:1 2 DNE
Step-by-step explanation:
Answer:
1
2
DNE
Step-by-step explanation:
Solve to find the height of a triangle with the base of 10 feet in the area of 21 feet
Answers
Answer: 4.2
Step-by-step explanation:
hb=2A
b=2·21
10=4.2ft
How many cubes with side length of 1/3 cm does it take to fill the prism?
Answers
9514 1404 393
Answer:
120
Step-by-step explanation:
The dimension across the front in terms of cubes is ...
5/3 cm = 5×(1/3 cm) = 5 cubes
The front-to-back dimension in terms of cubes is ...
4/3 cm = 4×(1/3 cm) = 4 cubes
The height in terms of cubes is ...
2 cm = 6×(1/3 cm) = 6 cubes
Then the volume in terms of cubes is ...
V = LWH = 5×4×6 = 120 cubes
It will take 120 cubes to fill the prism.
What is the intercept of the equation
Answers
Just divide 6 by 3 to find the x intercept
Answer:
-2
Step-by-step explanation:
Plug y=0 into the equation and solve the resulting equation 0=3x+6 for x
A bacterium triples in size every 6 minutes. If you start with 3 bacterium
in a dish, which of the following calculates the total amount of bacteria
after t hours?
3^t+1
3(2)^10t
3•3^t/6
3(2)^10t+1
None of the above
Answers
9514 1404 393
Answer:
E none of the above
Step-by-step explanation:
"Triples in size" means the growth factor is 3, so we expect to see that as the base of the exponent. That growth factor applies to a period of 6 minutes, or 1/10 hours. The number of 6-minute intervals in t hours is 10t, so we expect to see that as the exponent. The appropriate model could be written ...
n(t) = 3·3^(10t) . . . . . matches no offered answer choice
sec (x) = -2.3. If x and y are complementary, what is csc (y)?
Answers
Answer:
eat my cog
Step-by-step
BRAINLIEST FOR ALL 3 CORRECT ANSWERS, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
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Answer:
1. quarter turn 2. B 3. (b,-a)
Step-by-step explanation:
f(x) = 4x3 + 5x2 – 3x – 6
g(x) = 4x – 5
Find (f - g)(x).
Answers
Answer: soo
(4x^3+5x^2-3x-6)-(4x-5)
the answer is 4-^3+5x^2-7x-1
Step-by-step explanation:
what is the equation that has an x intercept of 4 and yintercept of 2. Show your work please
Answers
Answer:
y = -1/2x + 2
Step-by-step explanation:
If you are talking about a linear equation then b=2
The slope is y2 - y1 / x2 - x1 so 2-0/0-4 = 2/-4 = -1/2
So put it all together in y = mx + b so y = -1/2x + 2
finding missing angles in triangles worksheet answers house
Answers
Step-by-step explanation:
What exactly are you looking for?
What is 46% of 22? Use a fraction and express your answer in simplest form.
Answers
Answer:
10 3/25
Step-by-step explanation:
if the given expression is multiplied by 3^6, which expression is not equivalent?
Answers
Answer:
8
Step-by-step explanation:
I can't see the pic.
If anyone knows the answer, could you help LOL
What is the equation of the line that passes through the point (4, -7) and has a slope of -1/2 ?
Answers
Answer:
y = -1/2x - 5
Step-by-step explanation:
To solve this (and questions like it), use the formula for the equation of a line:
y=mx+c, where y and x are any given co-ordinates, m is the slope, and c is the y-intercept.
Since we know that the slope is -1/2, we can plug this into our equation to replace m:
y=mx+c
y=-1/2x+c
To find c, we plug in our co-ordinate (4,-7), so that c is the only unknown, and we can solve for it:
y=-1/2x+c
-7=-1/2(4)+c
-7=-2+c
c=-5
Now that we know c, we can finish off our equation:
y = -1/2x + c
y = -1/2x - 5
HELP ME PLEASE TO THIS QUESTION
Answers
Answer:
510 miles, 204/3 = 68
68x7.5= 510
There u go :)
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answers
Which graph represents function f?
f(x) = (1/3)^x
Answers
Answer:
The second group represents function f.
Step-by-step explanation:
Hope it helps...
Have a great day
A function assigns the value of each element of one set to the other specific element of another set. The correct graph is B.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.
The graph that represents the function can be chosen by substituting the values and checking the function.
If the value of x is kept as 0, then the function will be 1. Therefore, the graph will intersect the y-axis of the graph at 1.If the value of x is kept as 1, then the function will be 1/3. Therefore, the value of y is 0.33.Hence, the correct graph is B.
Learn more about Function here:
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Sid has £5 to buy apples and bananas.
He uses his money like this:
He buys 18 apples.
Then he buys as many bananas as possible.
With his change, he buys more apples.
How many apples and bananas does he buy?
(Apples=6p Each)
(Bananas= 40p Each)
(pls add working out)
Answers
He can buy 9 bananas
Answer:
Apples: 23 , bananas = 9
Step-by-step explanation:
Apples = 18 x 6 = 108p = 1,08£
5-1,08 = 3,92£
£3,92 = 392p
Bananas = 392 : 40 = 9,8= 9
40x9 = 360p = 3,60£
change = 3,92 -3,60 = 32p
apples = 32 : 6 = 5,33 = 5
total apples = 23
i’ll give you brainliest if you help me pleasee
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Answer:
2nd im pretty sure hope this helpss :) (:
Step-by-step explanation:
Factor the expression -8x 2+ 22x - 15
Answers
HELP. NO links. Please help I've been on this for a while
Answers
Answer:61
Step-by-step explanation:
Answer:
[tex]\Huge\boxed{C.61}[/tex]
Step-by-step explanation:
Hello There!
Remember this is the triangle angle rule:
The angles of a triangle MUST have a sum of 180
That being said we can find the missing angle by subtracting the given angles ( 87 and 32 in this case) from 180
so missing angle = 180 - 87 - 32
180 - 87 = 93
93 - 32 = 61
so we can conclude that the answer is c
Felicia paid $2,879 for a new wall oven with her credit card. Felicia’s credit card has an APR of 13.89%, compounded monthly. It took Felicia seven years of identical monthly payments to pay for her oven, and she made no other purchases with her card until it was paid off. Over the ten years that she kept the oven, it used an average of $2.97 per week in electricity. Between the electricity and the interest, which component of the lifetime cost of the oven was greater, and how much greater was it? (Round all dollar values to the nearest cent.)
a.
The interest cost $94.12 more than the electricity.
b.
The interest cost $1,638.52 more than the electricity.
c.
The electricity cost $1,334.60 more than the interest.
d.
The electricity cost $463.32 more than the interest.
Answers
Answer:
A. The interest cost $94.12 more than the electricity.
Step-by-step explanation:
2.97 x (10 years- 52 weeks in a year= 520) = 1544.40
P= PV x i / 1- (1+i)^-n
PV= 2879
I= .1389/12
N= 84 (7 years x 12)
53.78 x 84 = 4517.52
4517.52 - 2879 = 1638.52
1638.52 - 1544.40 = 94.12
Answer:
✅ A. The interest cost $94.12 more than the electricity.i got it right⬇️
Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below/attached
What are solutions to the equations
Answers
Answer:
A
Step-by-step explanation:
Answer:
x= -6 ,1
Step-by-step explanation:
B is the answer
x= -6 ,1
The average daily temperatures in degrees Fahrenheit for one week in July were 94, 92, 90, 95, 71, 89, and 92. Name any outliers in the data.
Answers
Answer:
Interquartile range: 5
Outlier: 71
Potential outlier: none
Step-by-step explanation:
you earn $9.15 per hour painting a fence. It takes 6.75 hours to paint the fence. did you make enough money. how much money do you have left.
Answers
Answer:
$61.76
Step-by-step explanation:
So I can't answer how much do you have left or did you make enough money, but I can calculate the money you made. Since it's $9.15 per hour and you worked 6.75, you simply multiply the numbers together. The money you made was $61.76.