It looks like the integral is
[tex]\displaystyle \iint_D x^2 (y-x) \,\mathrm dx\,\mathrm dy[/tex]
where D is the set
D = {(x, y) : 0 ≤ x ≤ 1 and x ² ≤ y ≤ √x}
So we have
[tex]\displaystyle \iint_D x^2(y-x)\,\mathrm dx\,\mathrm dy = \int_0^1 \int_{x^2}^{\sqrt x} x^2(y-x)\,\mathrm dy\,\mathrm dx \\\\ = \int_0^1 \left(\frac{x^2y^2}2-x^3y\right)\bigg|_{y=x^2}^{y=\sqrt x} \\\\ = \int_0^1 \left(\frac{x^3}2-x^{7/2}+x^5-\frac{x^6}2\right)\,\mathrm dx \\\\ = \left(\frac{x^4}8 - \frac{2x^{9/2}}9 + \frac{x^6}6 - \frac{x^7}{14}\right)\bigg|_{x=0}^{x=1} = \frac18-\frac29+\frac16-\frac1{14} = \boxed{-\frac{1}{504}}[/tex]
A representative for a soup company conducted a survey
to determine whether people in a city were aware of the
soup company's new advertising campaign. The
researcher set up a booth outside a local supermarket for
7 days and asked randomly selected patrons as they
entered the store whether they would be willing to
participate in a survey. Of the 530 selected patrons,
482 agreed to take the survey, and 48 refused. Which of
the following factors makes it least likely that a reliable
conclusion can be drawn about the awareness of the soup
company's advertising campaign by all people in the
city?
A) Sample size
B) Population size
C) The number of days the survey was given
D) Where the survey was given
Answer:
Step-by-step explanation:
hol sinaoteentnedbieinlrpeagntaaau
A farmer wishes to construct a fence around his rectangular field. The farmer has 150 feet of fence and
wishes to have the length be three more than the width. What is the width of the field. Make sure and
include feet in your answer.
Help
Answer:
The width is 36 feet
Step-by-step explanation:
If the width of the fence is x then its length is x+3.
The perimeter is 150 feet, so we have the equation:
2(x + x + 3) = 150
4x + 6 = 150
x = 144/4 = 36 feet
Which expression is equivalent to the expression –6.4 – 12 + 4.6?
The answer is -13.8.
Hope this helps!
quick i need help so bad :(
There are 4 triangles with base of 5 and height of 8.4
Area of triangle = 1/2 x base x height
Area of triangle = 1/2 x 5 x 8.4 = 21 m^2
Multiply by 4 = 21 x 4 = 84 m^2
Area of the base = length x width = 5 x 5 = 25 m^2
Total area = 84 + 25 = 109 m^2
Find the area of'a triangle with legs that are: 12 m, 15 m, and 9 m.
M
O A. 25.5 m
OB. 38.2 m
OC. 42.4 m
OD. 54 m
Answer:
D. 54m
Step-by-step explanation:
by the side you can see that it is a right triangle with hypotenuse = 15
1/2(b)(h) = 1/2(9)(12) = 54
Answer:
D.) 54 m2
Step-by-step explanation:
I got it correct on founders edtell
Choose the definition for the function.
Answer:
B
Step-by-step explanation:
For x<=0, the equation is 2x+2 and hence option B is the answer.
Percent decrease from 20 to 11
Answer:
45 percent
Step-by-step explanation:
20-11=9
9 divided by 20= 0.45
0.45 x 100= 45%
can some0ne help me?
Answer:
(x - 2)/3
(x - 4)/-5 or (-x + 4)/5
Step-by-step explanation:
this is an inverse function, and to solve an inverse function you would :
swap x and g(x) without bringing the x coefficient with it, just simply swap the variables. Then, solve for g(x), and that's it
the first question's answer is :
g(x) = 3x + 2
x = 3(g(x)) + 2
x - 2 = 3(g(x))
(x - 2)/3 = g(x)
the second one is:
g(x) = 4 - 5x
x = 4 - 5(g(x))
x - 4 = -5(g(x))
(x-4)/-5 = g(x)
g(x) = 3x + 2
y = 3x + 2
x = 3y + 2
3y = x - 2
y = x/3 - 2/3
inverse g(x) = (x - 2) / 3
g(x) = 4 - 5x
y = 4 - 5x
x = 4 - 5y
5y = 4 - x
y = 4/5 - x/5
inverse g(x) = (4 - x) / 5
What is the answer to - 2 5/6 + ( - 7/8) divided by 5 1/4
( I got -3 and I don't think I got it right. Could somebody also explain how they got it? Thank you!)
Answer:
Conversion a mixed number 2 5/
6
to a improper fraction: 2 5/6 = 2 5/
6
= 2 · 6 + 5/
6
= 12 + 5/
6
= 17/
6
To find new numerator:
a) Multiply the whole number 2 by the denominator 6. Whole number 2 equally 2 * 6/
6
= 12/
6
b) Add the answer from previous step 12 to the numerator 5. New numerator is 12 + 5 = 17
c) Write a previous answer (new numerator 17) over the denominator 6.
Two and five sixths is seventeen sixths
Unary minus: -17/
6
= -17/
6
Conversion a mixed number 5 1/
4
to a improper fraction: 5 1/4 = 5 1/
4
= 5 · 4 + 1/
4
= 20 + 1/
4
= 21/
4
To find new numerator:
a) Multiply the whole number 5 by the denominator 4. Whole number 5 equally 5 * 4/
4
= 20/
4
b) Add the answer from previous step 20 to the numerator 1. New numerator is 20 + 1 = 21
c) Write a previous answer (new numerator 21) over the denominator 4.
Five and one quarter is twenty-one quarters
Divide: -7/
8
: 21/
4
= -7/
8
· 4/
21
= -7 · 4/
8 · 21
= -28/
168
= 28 · (-1)/
28 · 6
= -1/
6
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 21/
4
is 4/
21
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - minus seven eighths divided by twenty-one quarters = minus one sixth.
Add: the result of step No. 2 + the result of step No. 4 = -17/
6
+ (-1/
6
) = -17 + (-1)/
6
= -18/
6
= 6 · -3/
6 · 1
= -3
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(6, 6) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 6 = 36.
In words - minus seventeen sixths plus minus one sixth = minus three.
Jason has eaten 45 chocolates in 5 days. Each days, he ate 2 chocolates more than the previous day. How many chocolates did he ate on the first day?
Answer:5
Step-by-step explanation:
On the first day he ate 5. Second day he ate 7. Then 9, 11, and finally 13. That all equals to 45. I don't know for sure though...
The radioactive substance uranium-240 has a half-life of
14 hours. The amount A(t) of a sample of uranium-240 remaining (in grams) after t
hours is given by the following exponential function.
A(t)=3200 (1/2)t/14
Answer:
Just pUt t=40 then answer come
Luisa and Rachelle are competing for employee of the month. It is the last week, and the employee who processes the most client accounts will win. Luisa processed 15 accounts Monday, 22 accounts Tuesday, and 17 accounts Wednesday. Rachelle processed 24 accounts Monday, 18 accounts Tuesday, and 11 accounts Wednesday. Who has processed the most accounts this week, and by how many
Answer:
Luisa processed the most accounts this week, by 1.
Step-by-step explanation:
Luisa:
15 on Monday, 22 on Tuesday and 17 on Wednesday.
So a total of 15 + 22 + 17 = 54.
Rachelle:
24 on Monday, 18 on Tuesday, 11 on Wednesday.
So a total of 24 + 18 + 11 = 53.
Who has processed the most accounts this week, and by how many?
54 - 53 = 1, so Luisa processed the most accounts this week, by 1.
The rationalisation factor of 2 + √3 is
step by step for BRAINLIST
Answer:
rationalising factor wud be
2 - root3
as on multiying both and applying identity we end up
2^2 - (root3)^2
4 - 3 = 1
we got a rational number so rationalisng factor is
2 - root3
For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. A random sample of 5240 permanent dwellings on an entire reservation showed that 1613 were traditional hogans.
(a) Let p be the proportion of all permanent dwellings on the entire reservation that are traditional hogans. Find a point estimate for p. (Round your answer to four decimal places.)
(b) Find a 99% confidence interval for p. (Round your answer to three decimal places.) What is the lower limit? What is the upper limit?
Answer:
Step-by-step explanation:
point est. 0.307824427
99% 2.58
Confidence Interval - "P" values
(0.2914 , 0.3243 )
How do I solve these plz I need help ☺️
Answer:
i have never learned it when i will i will tell
If why varies with the square of x and Y equals 24 when x equals 10 then the constant of proportionality is ____, and the value of y when x equals 20 is ____. Assume x is greater than or equal to 0. Select two answers
Answer:
Step-by-step explanation:
y varies with the square of x:
y = kx²
y equals 24 when x equals 10
24 = k·10²
constant of proportionality k = 0.24
when x = 20, y = 0.24·20² = 96
"select two answers" —where are the choices?
100 points for whoever can prove this geometry problem!!!! PLS HELP ME!!!!!!
Answer:
Let the chord- part of VC inside smaller circle be a, and same of CU be b.
According to intersecting secants theorem we have:
CI * (CI + a) = CJ * (CJ + b)and
VC *(CI + a) = CU * (CJ + b)From the second equation we get:
CU = VC * (CI + a) / (CJ + b)From the first equation we get:
CI + a = CJ * (CJ + b) / CI,substitute this into the second equation:
CU = VC * CJ * (CJ + b) / CI * 1/ (CJ + b)CU = VC * CJ / CICU * CI = VC * CJProved
This graph describes which of the expressions given?
Last year, Rob set up the Road Runner Race for his school.
The race was 1,200 meters long and 188 people signed up to
run the race. 38 people did not show up to run. This year,
there will be 3 times as many runners as last year. How
many people will run the race this year?
Answer:
450 runners
Step-by-step explanation:
7+4i+1-3i simplify as much as possible
Answer:
8+i
Step-by-step explanation:
7+4i+1-3i
Combine like terms.
8+i
I hope this helps!
pls ❤ and give brainliest pls
To collect opinions on the last teacher contract settlement, you interview each one of your teachers. This is an example of
A. random sampling
B. a census
C. interview sampling
D. convenience sampling
Answer:
may be interview sampling
Step-by-step explanation:
because here is eord interview
You work as an assistant to a carpenter who designed the tabletop below. He tells you that each shape is a right triangle, and each is the same size. You now need to calculate the area of one triangle so that you can begin building the tabletop. What is the area of each triangle in square inches? 28 1/4" and 20"
Answer:
282.5 inches squared
Step-by-step explanation:
A triangle is half the area of a square.
So we will solve the area as if we were finding the area for a square, and then we halve the result.
Length multiply by height to get the area:
28.25 × 20 = 565 inches squared
Now, half the answer to get the area of the triangle:
565/2=282.5 inches squared
What is the image point of (-6,3) after a translation right 5 units and down 3 units?
1+9x=80 Find for x
Kid can’t figure it out and I don’t know this stuff
Answer:
79/9 or 8 7/9
Step-by-step explanation:
1+9x=80
1 +9x = 90
Subtract 1 from each side
1+9x-1 = 80-1
9x = 79
divide by 9
9x/9 = 79/9
x = 8 7/9
Answer:
Step-by-step explanation:
1+9x = 80
9x = 80-1
9x = 79
x = 79/9
or
x = 8 7/9
or
x ≈ 8.78 (x = about 8.78) rounded
One angle of a triangle measures 108°. The other two angles are congruent.
Enter and solve an equation to find the measure x of the congruent angles.
ly which number does the digit 6 have a value that is 10 times as great as the digit 6 in the number
62,045?
Answer:b
Step-by-step explanation:
Answer:
it is not B!!!. It is D (640,488)
Hey is my answer correct and if not can you give me a brief explanation was the correct answer? :)
Answer:
Heres the best explanation I can come up with
Step-by-step explanation:
The barnsbro has a 35% difference between average balance and deviation, while the other bank has a 50% difference which is substantially bigger
need help please!!!
Given parallelogram MNOP if PN=27 what is NQ
9514 1404 393
Answer:
NQ = 13.5
Step-by-step explanation:
The diagonals of a parallelogram bisect each other. NQ is half of NP, so is ...
NQ = PN/2 = 27/2
NQ = 13.5
Find the measure of angle FGE
35 degrees
40 degrees
100 degrees
30 degrees
60 degrees
The measure of angle FGE is 52.5°.
What is the Angles of Intersecting Secants Theorem?Angles of Intersecting Secants Theorem states that, If two lines intersect outside a circle, then the measure of an angle formed by the two lines is one half the positive difference of the measures of the intercepted arcs.
Thus, applying the angles of intersecting secants theorem
m∠FGE = 1/2[(100 + 35) - 30]
m∠FGE = 1/2[(105]
m∠FGE = 52.5°
Learn more about angles of intersecting secants theorem here :
https://brainly.com/question/15532257
#SPJ2
Shawn has 4 times as many candies as Jason, who has a third as many candies as
lan. If Shawn has 64 candies, how many candies does Ian have?
