Answer:
180-a-5
180-43-5
180-48
180-48=132
c=132
8ntergrate by parts |x^3 e^-x dx
I assume the integral is
[tex]\displaystyle \int x^3 e^{-x} \, dx[/tex]
Integrate by parts with
[tex]u = x^3 \implies du = 3x^2 \, dx[/tex]
[tex]dv = e^{-x} \, dx \implies v = -e^{-x}[/tex]
so that
[tex]\displaystyle \int u \, dv = uv - \int v \, du[/tex]
i.e.
[tex]\displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} + 3 \int x^2 e^{-x} \, dx[/tex]
Integrate by parts again, this time with
[tex]u = x^2 \implies du = 2x \, dx[/tex]
[tex]dv = e^{-x} \, dx \implies v = -e^{-x}[/tex]
and so
[tex]\displaystyle \int x^2 e^{-x} \, dx = -x^2 e^{-x} + 2 \int x e^{-x} \, dx[/tex]
[tex]\implies \displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} + 3 \left(-x^2 e^{-x} + 2 \int x e^{-x} \, dx\right)[/tex]
[tex]\implies \displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} - 3x^2 e^{-x} + 6 \int x e^{-x} \, dx[/tex]
Once more, with
[tex]u = x \implies du = dx[/tex]
[tex]dv = e^{-x} \, dx \implies v = -e^{-x}[/tex]
[tex]\displaystyle \int x e^{-x} \, dx = -xe^{-x} + \int e^{-x} \, dx[/tex]
[tex]\implies \displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} - 3x^2 e^{-x} + 6 \left(-xe^{-x} + \int e^{-x} \, dx\right)[/tex]
[tex]\implies \displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} - 3x^2 e^{-x} -6xe^{-x} + 6 \int e^{-x} \, dx[/tex]
Finally,
[tex]\displaystyle \int e^{-x} \, dx = -e^{-x} + C[/tex]
and so
[tex]\displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} - 3x^2 e^{-x} -6xe^{-x} - 6 e^{-x} + C[/tex]
or equivalently,
[tex]\displaystyle \int x^3 e^{-x} \, dx = \boxed{-(x^3+3x^2+6x+6) e^{-x} + C}[/tex]
We can also approach the integral more generally by considering
[tex]I_n = \displaystyle \int x^n e^{-x} \, dx[/tex]
Integrate by parts with
[tex]u = x^n \implies du = nx^{n-1} \, dx[/tex]
[tex]dv = e^{-x} \, dx \implies v = -e^{-x}[/tex]
Then
[tex]\displaystyle I_n = -x^n e^{-x} + n \int x^{n-1} e^{-x} \, dx = -x^n e^{-x} + n I_{n-1}[/tex]
We can solve the recurrence using the initial "value" [tex]I_0 = -e^{-x}+C[/tex] to find a general formula for [tex]I_n[/tex]. Then we get the integral we want [tex]I_3[/tex] "for free".
giving branly to the frist one to answer and give the best and right answer
Paul uses a coordinate plane to design
his model town layout.
Paul moves the market 2 units left and 3
units down. He says the ordered pair for
the new location of the market is (0, 6).
Explain Paul’s mistake and write the
correct ordered pair for the new location of............................ your answer
Using translation concepts, it is found that his mistake was that he made the shifts on the wrong coordinates, and the new location is at (1,5).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Initially, researching the problem on the internet, it is found that the market is at position (3,8).
Then, it was shifted 2 units left and 3 units down, hence the new position is given by:
(3 - 2, 8 - 3) = (1,5).
His mistake was that he made the shifts on the wrong coordinates, and the new location is at (1,5).
More can be learned about translation concepts at https://brainly.com/question/4521517
Currently, the lowest tax bracket in the United States is
Α. 0%
Β. 15%
C. 1%
D. 10%
Answer:
D 10%
Step-by-step explanation:
PLEASE HELP PLEASE PLEASE HELP PLEASE
Answer:
Start are cooler when in the color Red.
Step-by-step explanation:
Answer:
the answer would be red
Step-by-step explanation:
÷what expression could be used to solve 2/5 ÷ 3/4
Answer:
The expression is division.
Step-by-step explanation:
2/5 ÷3/4=0.075
Answer:
[tex]\frac{2}{5} \times\frac{4}{3}[/tex]
Step-by-step explanation:
To find the answer we use KCF (Keep, Change, Flip).
[tex]\frac{2}{5} \div\frac{3}{4}[/tex]
[tex]\frac{2}{5} =\frac{2}{5}[/tex]
[tex]\div=\times[/tex]
[tex]\frac{3}{4} =\frac{4}{3}[/tex]
[tex]\frac{2}{5} \times\frac{4}{3}[/tex]
Which means the expression used to find the answer would be "2/5 × 4/3."
Hope this helps.
Question 8(Multiple Choice Worth 1 points)
(07.04 HC)
Right triangle ABC is located at A (-1, 4), B (-1, 1), and C (-5, 1) on a coordinate plane. What is the equation of a circle A with radius AC?
O(x + 1)2 + (y - 4)2 = 9
(x + 5)2 + y - 1)2 = 25
(x + 5)2 + (y - 1)2 = 16
(x + 1)2 + (y - 4)2 = 25
Answer:
(d) (x + 1)^2 + (y - 4)^2 = 25
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
__
Circle A has its center at point A, so the left side of this equation will look like ...
(x -(-1))² +(y -4)² = r² . . . . . . using (h, k) = (-1, 4)
where r is the length of segment AC. One way to find the value of r² is to use point C for (x, y):
(-5 +1)² +(1 -4)² = r²
16 +9 = r² = 25
Then the equation of the circle is ...
(x +1)² +(y -4)² = 25
Write a polynomial with zeros 0,-3, and 2 with multiplicities 2,1, and 2, respectively. What is its degree?
Polynomial is an expression that consists of indeterminates(variable) and coefficients. The degree of the polynomial will be 5.
What are polynomials?
Polynomial is an expression that consists of indeterminates(variable) and coefficients, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
The polynomial with zeros 0,-3, and 2 with multiplicities 2,1, and 2, respectively, can be written as,
[tex](x-0)^2(x+3)^1(x-2)^2\\\\= x^2(x+3)(x^2+4-4x)\\\\=(x^3+3x^2)(x^2+4-4x)\\\\=x^5 +4x^3-4x^4+3x^4+12x^2-12x^3\\\\=x^5 -x^4-8x^3+12x^2\\[/tex]
Hence, the degree of the polynomial will be 5.
Learn more about Polynomial:
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find the slope and y-intercept of the line y=7x-9
Answer:
Slope: 7
Y-Intercept : -9
Step-by-step explanation:
Al llegar a la caja de un supermercado, la cuenta fue de 330 en alimentos y 150 en útiles de aseo . En el momento de pagar, le descontaron 10. si recibio 30 de vuelto ¿con cuanto pago?
Answer:
500
Step-by-step explanation:
330+150=480
480-10=470
470+30=500
y + 9 * 3 / 4
3/4 is the fraction
Answer:
y+6.75
Step-by-step explanation:
Answer: y+6.75
Follow Order of Operations
y+9*3/4
9*3/4 = 6.75
y+6.75
(2x > 10) list some values for x that would make this inequality true
Answer:
6,7,8,9
Step-by-step explanation:
> means Greater than
< means Less than
Thus,
Any number that greater than 10 would make this inequality true..
Some possible values for x can be:
6,7,8,9,11,12,13,14,15,16,17,18 and so on
[RevyBreeze]
(0 points)
4A is an acute angle in a right triangle.
If cos A = 15/17, find the ratio for the sin A.
Explain how you solved the problem in 2-3 sentences or show your steps.
Answer:
sin A = 8/17.
Step-by-step explanation:
As cos A = 15/17 one leg of the triangle = 15 and the hypotenuse = 17.
The side length 15 is the adjacent side to angle A.
First find the length of other side of the right triangle, using the Pythagoras
Theorem:
Opposite side to ange A = √(17^2 - 15^2)
= √64
= 8 units.
sin A = opp side / hyp
= 8/17.
Find the value of x.
Sum of two interior angles=Exterior angle
44°+9x+3=14x+79x+47=14x+747=5x+75x=47-75x=40x=5The cost of 5 pounds of apples is $12.45. What will be the cost of 12 pounds of apples if the
cost varies directly with the number of pounds purchased.
Edit View Insert Format Tools Table
Answer: 29.88
Step-by-step explanation: if 5 pounds = $12.45,
then 12 pounds = x
Therefore, Cross-multiply
5 x = 12 (12.45)
5x=149.4
x=149.4/5
x=29.88
Answer:
Step-by-step explanation:
Equation
Cost = k*weight
Givens
weight = 5 pounds
Cost = 12.45
12 pounds
Find k
Cost = k*weight
cost = 12.45
weigh = 5 pounds Substitute these values into the equation
12.45 = k * 5 Divide by 5
12.45 /5 = k*5/5
2.49 = k
Solve for 12 pounds
k = 2.49weight = 12 poundsCost = 2.49 * 12
Cost = 29.88
Answer
Cost = 29.88
100 points pls help ty
Answer:
Answer
Answer:
Sam is right, 9 is the max number of pull-ups done by a player.
Because it shows that there were 2 players that did 9.
Step-by-step explanation:
7. A hippopotamus weighs 1.5 tons. What is its weight in ounces
The population of Banana Island is slowly increasing and can be calculated by P(t) = 93.3/3 + 0.23t where Pis the population (measured in millions) and t is time (measured
in years). Approximately how many years will it take for the population of the island to reach 200 million?
A. 6.9
B. 1.6
C. 7.9
D. 4.6
Answer:
6.09 is the ans thanku please mark me brainleaset ans
Write the equation of the line that is parallel to the line y=3x+7 and passes through the
point (-4,-14).
Answer:
Step-by-step explanation:
hello :
note :
Use the point-slope formula.
y - y_1 = m(x - x_1) when : x_1= -4 y_1= -14
m= 3 (parallel means same slope)
an equation in the point-slope form is : y +14 =3(x+4)
Mr. Blue's first year salary is $30,000 and it doubles each year. What is the explicit rule for the sequence in simplified form?
What is the recursive rule?
Mr. Blue' salary is an illustration of a geometric sequence
The explicit rule of Mr. Blue 's salary is an = 30000 * 2^(n - 1)The recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000How to determine the explicit formula?Mr. Blue's salary is a geometric sequence with the following parameters:
First term, a1 = 30000
Rate, r = 2
The explicit rule is calculated as:
an = a1 * r^(n - 1)
This gives
an = 30000 * 2^(n - 1)
How to determine the recursive formula?The common ratio is calculated as:
r = an+1/an
Substitute 2 for r
2 = an+1/an
Cross multiply
an+1 = 2an
Hence, the recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000
Read more about arithmetic sequence at:
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8
11 Juan is multiplying 68 x 73 using the area model method
One of the partial products is missing.
What number should juan write in the blank space in the model above?
A 420
B 42,000
C 4,200
D 130
Answer:
C 4,200
Step-by-step explanation:
THE FIRST ANSWER I PUT WAS INCORRECT 70 TIMES 60 = 4,200 because 70 has one 0 and 60 has one 0 use that as a strategy so there's two 0,s when you combine it and its at the end of 4,200 so sice 6 times 7 or 7 times 6 = 42 put the two 0,s at the end and add it to 42 then you get 4,200 or 4200 you don't have to put the comma but it helps let you know 4,000 is part of the thousands and lets you know to seperate it from the hundreds so it's better to add the comma if you want to if you don't want to then it's okay but you might get a answer wrong without a comma so the answer is C 4,200!!!!!!!!!!
Find each difference vertically.
3. (2x ^2 – 2x ^4) — (x4 – x2)
Answer:
answer: -2x^4 +2x^2-2x
You walk 3/8 miles to a grocery store.Then you walk another 1/3 miles to a music store.How many miles have you walked in all
Answer:
At this point, you have walked 17/24 miles in all.
Hope this helps
What is the length of LM?
Let see
KM²=LM×MJ6²=LM×3LM=36/3LM=12Option B
Will give brainliest for right answer! :)
Answer:
155.52mm
Step-by-step explanation:
the area of the rectangle. 16×16=256. the area of the semicircle. 3.14×8×8=100.48. subtract the semicircle from the rectangle 256_100.48= 155.52mm
Answer:
27.47 square mm
Step-by-step explanation:
Area square = 16x16= 256
Half square= 255/2=128
Area circle pi x 64 = 201.06...
semicircle 201.06.../2 = 100.53
128-100.53 =27.47
The perimeter of a rectangular goat pen is 28 meters. The pen is 5 meters wide. How long is it?
Answer:
I think it would be 9 meters.
Step-by-step explanation:
5x2=10
28-10=18
18(divided by)2=9 meters
Answer:
9 meters long
Step-by-step explanation:
the perimeter is 28 meters. itts 5 meters wide and itt is recttangle so itt have two of the same width. so now 5x2=10 and 28-10=18 now 18/2=9. please mark me brainliest if i got it correct
dding and Subtracting Decimals struction Active Finding an Account Balance Dewan's bank account balance is -$16.75. He deposits checks totaling $23.59. What is his new balance? O $1.08 O $6.84 O $9.16 O $24.34.what is the answer
Answer: 24.34 is his balance.
Step-by-step explanation:
Multiply: (3x+7)(5x^2-3x+6)
Answer:
15x^3+26x^2-3x+42
Step-by-step explanation:
(3x+7)(5x^2-3x+6)
15x^3-9x^2+18x+35x^2-21x+42
15x^3-9x^2+35x^2+18x-21x+42
15x^3+26x^2-3x+42
Answer:
15x³ + 26x² - 3x + 42
Step-by-step explanation:
Hi there!
We are given the polynomials 3x+7 and 5x²-3x+6
We want to multiply them together
(3x+7)(5x²-3x+6)
To that, we need to distribute each term of the binomials to each other, and then add them together.
What this means is that we need to multiply 3x by 5x², -3x, and 6, then add them together. Then, multiply 7 by 5x², -3x, and 6. Add those together, and then add everything together.
So, let's first start by multiplying 3x by everything:
3x * 5x² = 15x³
3x * -3x = -9x²
3x * 6 = 18x
Add them together: 15x³ + -9x² + 18x
Now with 7:
7 * 5x² = 35x²
7 * -3x = -21x
7 * 6 = 42
Add them together: 35x² + -21x + 42
Now add 15x³ + -9x² + 18x and 35x² + -21x + 42 together:
15x³ + -9x² + 18x + 35x² + -21x + 42
Combine like terms:
15x³ + 26x² - 3x + 42
Hope this helps!
If alpha and beta are the zeros of the polynomial 2x2+5x+k, find k such that (alpha)2+(beta)2+(alpha)*(beta)=24
Answer:
k = -35.5
Step-by-step explanation:
When α and β are zeros of the polynomial 2x² +5x +k, it can be written in factored form as ...
2x² +5x +k = 2(x -α)(x -β)
When the factored form is expanded, it becomes ...
= 2x² -2(α+β)x +2αβ
Comparing this to the original, we see that ...
5 = -2(α+β)k = 2αβ__
Then the given expression can be used to find k:
α +β = -5/2 . . . . . solved the first relation for α+β
(α +β)² = (α² +β² +αβ) +αβ = 24 +αβ
(-5/2)² = 24 +αβ . . . . . . . use -5/2 for α+β
αβ = 25/4 -24 = -17.75 . . . . . solve for αβ
Then the value of k is ...
k = 2αβ = 2(-17.75)
k = -35.5
Ray YL bisects ZAY B. Find the measurement of
ZBYL.
B
(7x + 17)
(3(4x - 1))
Y
0 90
0 45
0 None of the above
0 20
Answer:
B. 45
Step-by-step explanation:
YL is the angle bisector of ∠AYB, so the two angles are congruent:
∠AYL ≅ ∠BYLSubstitute and solve for x:
7x + 17 = 3(4x - 1)7x + 17 = 12x - 312x - 7x = 17 + 35x = 20x = 4Find the value of ∠BYL:
3(4*4 - 1) = 3(16- 1) = 3(15) = 45
This is matching the answer option B.
The red angles must be equal as YL is bisector
7x+17=3(4x-1)7x+17=12x-317+3=12x-7x20=5xx=4<BYL
3(4(4)-1)3(16-1)3(15)45Option B
Find the value of m if 13m + 24m = 41m
Answer:
m=0
Step-by-step explanation:
Add
13m
and
24m
.37
m=
41m
Move all terms containing m
to the left side of the equation.