Integrate by parts with
[tex]u = f(\phi) \implies du = f'(\phi) \, d\phi = (2\phi - 1) \, d\phi[/tex]
[tex]dv = d\phi \implies v = \phi[/tex]
to evaluate the integral in the definition of [tex]f[/tex].
[tex]\displaystyle \int_0^1 f(\phi) \, d\phi = \phi\,f(\phi) \bigg|_0^1 - \int_0^1 \phi(2\phi-1) \, d\phi = f(1) - \frac16[/tex]
Now if [tex]\phi=1[/tex], we have
[tex]f(1) = 1^2 - 1 - \left(f(1) - \dfrac16\right) \implies 2f(1) = \dfrac16 \implies f(1) = \dfrac1{12}[/tex]
and so
[tex]\displaystyle \frac1{12} = 1^2 - 1 - \int_0^1 f(\phi) \, d\phi \implies \int_0^1 f(\phi) \, d\phi = -\frac1{12}[/tex]
It follows that
[tex]\displaystyle \int_0^2 f(\phi) \, d\phi = \int_0^2 \left(\phi^2 - \phi + \frac1{12}\right) \, d\phi \\\\ ~~~~~~~~~~~~~~~ = \left(\frac{\phi^3}3 - \frac{\phi^2}2 + \frac\phi{12}\right) \bigg|_0^2 \\\\ ~~~~~~~~~~~~~~~ = \frac{2^3}3 - \frac{2^2}2 + \frac2{12} \\\\ ~~~~~~~~~~~~~~~ = \boxed{\frac56}[/tex]
(f) Is it true that a function that is always
increasing will have an inverse that is always
decreasing? Support your yes or no answer.
Answer: yes it is true .
Step-by-step explanation:
If the function f(x) is either always increasing or always decreasing then it has an inverse function f –1(x). The Range of f(x) becomes the Domain of f –1(x). We find the equation of the inverse by solving the equation y = f(x) for x.
What is 20•0 only wrong answers
Answer:37
Step-by-step explanation:
You are hiking on a trail that leads to the top of a mountain. At 1 P.M. you reach an elevation of 4400 feet. At 4 P.M. you reach an elevation of 5600 feet. What is your mean/ average hourly change in elevation?
The mean change in elevation is____ feet per hour.
Answer:
Step-by-step explanation:
1200 feet in 3 hours
400 feet per hour
That was also a question that I had.
If Ð1 and Ð2 are complementary angles, and mÐ1 = 74!; "nd mÐ2.
Answer:
∠ D2 = 16°
Step-by-step explanation:
complementary angles sum to 90° , then
∠ D1 + ∠ D2 = 90°
74° + ∠ D2 = 90° ( subtract 74° from both sides )
∠ D2 = 16°
If two angles are complementary they add up to a total of 90 degrees.
So we know that
D1+D2=90, because the problem tells us they're complementary
Now, we know as well that D1 = 74, so we can plug it into the little equation and solve in terms of D2.
[tex]D1+D2=90[/tex]
[tex]74+D2=90[/tex]
[tex]D2=90-74[/tex]
[tex]D2=16[/tex]
hope it helps have a great time learning!
Solve the word problem below using the steps given in the lesson.
Skylar needs $56 to buy a new video game. If he doubles the amount of money he has now, he will have enough to buy
the game with $8 left over.
How much money does Skylar have right now?
PLEASE PLEASE HELP ME!!!!
Answer:
$32
Step-by-step explanation:
56+8=64
64/2=32
Use the percentage method to calculate the (a) allowance amount, (b) taxable wage, and (c) amount withheld for federal income tax using the amount of income tax to be withheld information given (show work) Please help.
13.) Charlene Kirkwood manages a gift shop. She is single, earns $1243.49 each week, and claims 3 allowance.
According to this the amount of income tax to be withheld is $183
Please find the 3 following things:
a) Allowance amount
b) taxable wages
c) amount withheld for federal income tax
Answer:
The allowance amount is the product of the number of allowances and $ 63.46
Step-by-step explanation:
1x$ 63.46 = x$ 63.461×$63.46=$63.46
Decide which of the two given functions is
linear and find its equation
X 10 1 2 3 4
f(x) 6 10 14 18 22
g(x) 8 10 12 16 22
The function f(x) represents the linear relationship between f(x) and x because the slope remains constant.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope remains constant throughout the data.
Then the slope of the function f(x) at different stages is given as,
⇒ (14 - 10) / (2 - 1)
⇒ 4
⇒ (22 - 18) / (4 - 3)
⇒ 4
Then the slope of the function g(x) at different stages is given as,
⇒ (12- 10) / (2 - 1)
⇒ 2
⇒ (22 - 16) / (4 - 3)
⇒ 6
The function f(x) represents the linear relationship between f(x) and x because the slope remains constant.
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3. What is the value of the 4 in 279,045,628,312? Answer
Answer:
10 million
Step-by-step explanation:
The value is how many time i did Your mom
POV: I don't trust most of the people on here to give me the correct answer, but... T^T
Answer:
650,000
Step-by-step explanation:
[tex]10^5=100000\\=100000\cdot \:6.5\\=650000[/tex]
find the general form of the quadratic function with the vertex (1,4) and a point on the graph (-3,20)
The general form of the quadratic function is x² - 2 · x - y + 5 = 0.
How to find the general form of the quadratic function
In this question we must derive the equation of the parabola in vertex form, whose description is shown below:
4 · p · (y - k) = (x - h)² (1)
Where:
(h, k) - Coordinates of the vertex.(x, y) - Coordinates of a point of the parabola.p - Distance from vertex to focus.If we know that (h, k) = (1, 4) and (x, y) = (- 3, 20), then the distance from vertex to focus is:
p = (x - h) / [4 · (y - k)]
p = (- 3 - 1)² / [4 · (20 - 4)]
p = (- 4)² / 64
p = 16 / 64
p = 1 / 4
Then, the equation of the parabola in vertex form is y - 4 = (x - 1)². And now we find the general form of the quadratic formula, that is:
A · x² + B · x + C · y + D = 0 (2)
Then, we proceed to obtain the general form:
y - 4 = (x - 1)²
y - 4 = x² - 2 · x + 1
x² - 2 · x - y + 5 = 0
The general form of the quadratic function is x² - 2 · x - y + 5 = 0.
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At 5:00 a.m., the temperature outside was 6 °F below zero. By noon, it rose by 15 °F. What was the temperature at noon?
A: 21 °F
B: 9 °F
C: –9 °F
D: –21 °F
A delivery person has two different delivery routes that he follows the first route is 20.75 miles long and the second is 30.25 miles long he travels each route 4 times a week after 7 weeks how many total miles has he traveled
Answer:
Step-by-step explanation:
20.75 miles x 4 = 83 miles
30.25 miles x 4 = 121 miles
Now take the 83 and multiply by 7 for the 7 weeks and multiply the 121 also by 7.
83 x 7 = 581
121 x 7 = 847
Now add the 581 miles with the 847 to get the total miles travelled.
581+847 = 1428 Miles
Answer: The delivery person travels 1428 miles
You deposit $2500 in an account earning 3% interest.
Find the amount in 20 years if the money compounds ANNUALLY.
Answer:
$4,515.28
Step-by-step explanation:
In 20 years you will have $4,515.28 If there is a 3% interest rate
four times the difference of y and five
Answer: 4(y-5).
I don't exactly know what you want, but I assumed you wanted me to put it in number form.
Here you go :D
The price on the gas pump is 1/2 the actual price. what is the actually price if the pump registers $6.54
Answer:
$13.08
Step-by-step explanation:
If the price on pump is half the actual price, we just need to double what it says
So
$6.54 x 2 = $13.08
lesson 6.1
Graph the image of the figure using the transformation given.
options are out of the last 3 images
The figure with the coordinates R'(-4, 2), S'(-4, 4), T'(1, 5) and U' (0, 0) are graph of the image of the figure.
Hence, Option B is the correct answer.
What is translation?
A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other.
Given that,
The translation is 1 units left and 5 units up.
The coordinates of the given figure are R(-3, -3), S(-3, -1), T(2, 0) and
U(1, -5).
Now, If the translation is 1 units left and 5 units up, then the coordinates become (x - 1, y + 5).
Hence, Coordinates for the image of the graph are;
R' = (-4 - 1, 2 + 5) = (-5, 7)
S' = (-3 - 1, -1 + 5) = (-4, 4)
T' = (2 - 1, 0 + 5) = (1, 5)
U' = (1 - 1, -5 + 5) = (0, 0)
Hence, The coordinates are R'(-4, 2), S'(-4, 4), T'(1, 5) and U' (0, 0).
Therefore, The figure with the coordinates R'(-4, 2), S'(-4, 4), T'(1, 5) and
U' (0, 0) are graph of the image of the figure.
Hence, Option B is the correct answer.
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Which expression is equivalent to quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity?
A negative forty nine over 8 times d minus one tenth
B forty nine over eight times d minus one tenth
C negative three eighths times d minus one and three tenths
D negative three eighths times d minus one tenth
C is the correct answer...
Write, in slope-intercept-form, the inequality shown in the graph.
Two points which the boundary line intersects are shown.
-10
The equation (-2) (6x - 5)
The integer solution is
The fraction solution is
Submit Question
0 has two solutions. One is an integer, the other is a fraction.
Answer:
Step-by-step explanation:
Givens
(x - 1)(6x - 5) = 0
Solution
Either one of these can be made into 0 by solving the binomials in the brackets.
x - 2 = 0 Add 2 to both sides
x -2 +2= 0+2 Combine
x = 2
6x - 5 = 0 Add 5
6x -5+5 = 0+5 Combine
6x = 5 Divide by 6
6x/6=5/6
x = 5/6
Answer
Integer Answer: x = 2
Fractional Answer x = 5/6
Randy had $18.80 in his wallet. He spent $1.75 on a drink. How much does he have left? (a) Estimate the answer by rounding to the nearest whole numbers before subtracting (b) Will your estimate be high or low? Explain. (c) Find the difference. Show your work
a. My estimate of the answer by rounding to the nearest whole numbers before subtracting is $19.00 and $2.00
b. Given the difference of the estimate is 19-2= $17 and the difference of the original values is 18.80-1.75=-$17.05, then the estimate is low.
c. The difference of the estimate is $17
Calculations and ParametersGiven that:
Randy had $18.80 in his wallet.
He spent $1.75 on a drink
If we round $18.80 to the nearest whole number, it would be $19.00
Rounding off $1.75 to the nearest whole number, it would be $2.00
The difference of the estimate is 19-2= $17 and the difference of the original values is 18.80-1.75=-$17.05, then the estimate is low.
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What did the Nuremberg Laws do:
A. Kept Jews from being German citizens and marked them with a Star of David
B. Establish the policy of mass-murder against the Jews
C. Moved Jews from occupied countries to ghettos
D. Prevented Jews from being teachers or judges
A
Or maybe something else is not sure
2. Kenzie makes $12.50 per hour. She works 20 hours per week. Find:
a. Her weekly pay
b. Her monthly pay
c. Her yearly pay
d. Her weekly take-home pay if she takes home 76%.
can someone explain?
Her weekly pay is $250
Her monthly pay is $1000
Her yearly pay is $12000
Her weekly take-home pay if she takes home 76% is $190
What is a unit rate?Unit rate is the ratio of two different units, with the denominator as 1.
We have,
1 hour = $12.50
1 week = 20 hours
The weekly pay:
= 20 hours
= 20 x 12.50
= $250
Monthly pay:
= 4 weeks
= 4 x 20 hours
= 80 hours
= 80 x 12.50
= $1000
Yearly pay:
= 12 months
= 12 x 4 weeks
= 48 weeks
= 48 x 20 hours
= 960 hours
= 960 x 12.50
= $12000
Weekly take-home pay:
= 76% of $250
= 76/100 x 250
= $190
Thus,
Her weekly pay is $250
Her monthly pay is $1000
Her yearly pay is $12000
Her weekly take-home pay if she takes home 76% is $190
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Find the area of the figure.
9.8 yd
14.1 yd
Answer:
138.18 square yards
Step-by-step explanation:
Assuming the figure is a rectangle because it isn't said that it is otherwise, you would multiply the numbers together and get 138.18 square yards.
Evolve eagle flies 43.2 m in three seconds the graph shows a distance a typical peregrine Falcon flies overtime at this rate what is the difference in the distances flown by these two birds after three hours of light show your work. Pls show ur work!
The difference in the distances flown by these two birds after three hours of light is 94.47km
Distance graphAccording to the question, Evolve eagle flies 43.2 m, the distance it will fly in 3 hours will be;
43.2m = 3 seconds
x = 10800seconds
Find the ratio
3x = 43.2 × 10,800
x = 155520 meters = 155.530km
From the graph, the distance traveled in 3 hours is equivalent to 250km
Difference in distance
Difference = 250 - 155.530
Difference = 94.47km
Therefore the difference in the distances flown by these two birds after three hours of light is 94.47km
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Write the number in Scientific notation form.
0.0755
Answer:
The scientific notation will be 7.55 x 10^-2
Step-by-step explanation:
You need to make the number at least 1 but below 10 so you would move the decimal over 2 places to the right
Hope this helps :)
Answer:
7.55 x 10⁻²
Step-by-step explanation:
0.0755
As we move the decimal two spaces to the right it will be a negative integer.
7.55 x 10⁻²
Look at attached image.
1 Which of the following relations is a function?
L(-2, 3), (2, -3), (4, -2), (-3,4)}
II ((-2, 2), (4, 3), (-3, 3), (-2, 4)}
III. {(2, -3), (3, -4), (3, -3), (-4,4)}
IV. ((-4, 3), (-3, -3), (2, -3), (-2,-4)}
Help me
Answer: I and lV
Step-by-step explanation:
to find function just look at the x values if they repeat it’s not a function.
there are ten birdbaths in a park. on the first day of spring, the birdbaths are filled. Several weeks later, the overall change in the water level is found. the results are shown in the table. what is the range of the data?
Based on the change in the water levels of the ten birdbaths in the park, the range of the data is 4.2.
How to find range?To find the range of a distribution of numbers, you need to subtract the smallest number from the largest number.
The largest number in the distribution of birdbaths is 2.6 and the smallest number in the distribution is -1.6
The range is therefore:
= 2.6 - (-1.6)
= 2.6 + 1.6
= 4.2
The range of numbers are:
2.2, 0.3, -1.5, 2.6, 1.9, 0.4, 0.6, -1.6, 2.5, -0.6
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Translate the English phrase into an algebraic expression: the quotient of y and 5.
The expression represented by the quotient of y and 5 is y/5
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to translate the algebraic expression?The expression is given as
the quotient of y and 5.
Quotient means divide
So, we have
the quotient of y and 5 => y/5
Hence, the expression represented by the quotient of y and 5 is y/5
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Points S, T, and P lie on a number line. Their coordinates
are 0, 1, and x, respectively. Given SP = PT, what is the value of x?
The value of x for which the numerical length of SP is equal to PT is 1/2.
What is Number line?Number line is a line on which numbers are marked at intervals, used to illustrate simple numerical operations.
Given are the coordinates of three points S,T and P on number line. Also the numerical length of SP is equal to PT. From the question, we can write -
→ Point S at 0.
→ Point T at 1.
→ Point P at x.
It is given that -
SP = PT
Distance between S and P = Distance between P and T.
x - 0 = 1 - x
2x = 1
x = 1/2
Therefore, the value of x for which the numerical length of SP is equal to PT is 1/2.
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Ben borrowed 20,000 pesos from Glennand promised to pay him after 3 years with and interest of 5% compounded annually. On the 3rd year, exact date of his payment, Ben requested to extend his deadline for another 2 years. Glenn being a considerate man, agreed but under the new condition that from then on, the interest shall be 6% compounded semi-annually. Two years later, on exact deadline, Ben asked Glenn, again, for 1 more year. He also borrowed an additional 12,000 pesos with 2% interest compounded quarterly from Glenn. He promised that he will pay everything (principal and interest) on the exact deadline. How Much will Ben pay in total?
Answer:
pay him after 3 years with and interest of 5% compounded annually. On the 3rd year, exact date of his payment, Ben requested to extend his deadline for another 2 years. Glenn being a considerate man, agreed but under the new condition that from then on, the interest shall be 6% compounded semi-annually. Two years later, on exact deadline, Ben asked Glenn, again, for 1 more year.
Step-by-step explanation: