Question 5 of 10
Which of the following is most likely the next step in the series?

Answer:

answer: -2x^4 +2x^2-2x

Answer:

Slope: 7

Y-Intercept : -9

Step-by-step explanation:

Let see

Option B

Answer:

6.09 is the ans thanku please mark me brainleaset ans

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

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".

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 ...

__

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

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:

Answer:

At this point, you have walked 17/24 miles in all.

Hope this helps

Answer: 24.34 is his balance.

Step-by-step explanation:

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).

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

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

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.

Answer:

Start are cooler when in the color Red.

Step-by-step explanation:

Answer:

the answer would be red

Step-by-step explanation:

Sum of two interior angles=Exterior angle

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.

Answer:

D 10%

Step-by-step explanation:

Answer:

Step-by-step explanation:

YL is the angle bisector of ∠AYB, so the two angles are congruent:

Substitute and solve for x:

Find the value of ∠BYL:

This is matching the answer option B.

The red angles must be equal as YL is bisector

<BYL

Option B

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

Cost = 2.49 * 12

Cost = 29.88

Answer

Cost = 29.88

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!

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    

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)

Answer:

[tex]64\pi[/tex]

Step-by-step explanation:

[tex]2\pi {(4)}^{2} + 2\pi \: 4 \ast4 \\ \\ = 2\pi \ast16 + 2\pi \ast16 \\ \\ = 32\pi + 32\pi \\ \\ = 64\pi[/tex]

Answer:

64π

Step-by-step explanation:

2π(4²) + 2π(4)(4) <== exponents first

2π(16) + 2π(16) <== multiply

32π + 32π <== add

64π <== final answer

Note: 4 * 4 can also be written as 4²

Hope this helps!

Answer:

500

Step-by-step explanation:

330+150=480

480-10=470

470+30=500

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.

Answer:

3/16

Step-by-step explanation:

The probability of spining an E is 3/8 and the probability of fliping heads on a coin is 1/2 so the probablility of both those things happening is 1/2*(3/8) or 3/16

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]

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!!!!!!!!!!

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:

https://brainly.com/question/17822016

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