Evaluate the expression shown below and write your answer as a fraction in simplest form.

Answer:

[tex] \displaystyle D) {x}^{5} + \rm C[/tex]

Step-by-step explanation:

we would like to integrate the following Integral:

[tex] \displaystyle \int 5 {x}^{4} \, dx [/tex]

well, to get the constant we can consider the following Integration rule:

[tex] \displaystyle \int c{x} ^{n} \, dx = c\int {x}^{n} \, dx[/tex]

therefore,

[tex] \displaystyle 5\int {x}^{4} \, dx [/tex]

recall exponent integration rule:

[tex] \displaystyle \int {x} ^{n} \, dx = \frac{ {x}^{n + 1} }{n + 1} [/tex]

so let,

Thus integrate:

[tex] \displaystyle = 5\left( \frac{ {x}^{4+ 1} }{4 + 1} \right)[/tex]

simplify addition:

[tex] \displaystyle = 5\left( \frac{ {x}^{5} }{5} \right)[/tex]

reduce fraction:

[tex] \displaystyle = {x}^{5} [/tex]

finally we of course have to add the constant of integration:

[tex] \displaystyle \boxed{ {x}^{5} + \rm C}[/tex]

hence,

our answer is D)

Answer:

-25 feet

Step-by-step explanation:

We know that the change in altitude for the air balloon is -1500 feet, all within a span of 60 minutes, which then we are asked what is the rate of change.

To find the rate of change, we have to be able to divide a number by both sides that will not give us a decimal or very odd number. To avoid getting a decimal, divide both sides by 60.

-1500/60 = -25

60/60 = 1

So the rate of change would be -25 feet

Answer:

Water (cups): 14, 28, 42, 56, 70

Lemon Juice (cups): 2, 4, 6, 8, 10

Divide the number of cups of water by 7 to find the number of cups of lemon juice.

Answer:

See photo

Step-by-step explanation:

Completing the rule:

With the water, you add 14 each time. They started at 14 and added another 14 to get 28. Then you add 14 to 28 and get 42, and so on.

with the lemon juice, it’s very similar except you’re adding 2 each time. They started at 2 and added another 2 to get 4. Then you add 2 and get 6, and so on.

The final question:

This last blank is asking what number you divide the water by to get the lemon juice. If we use fact families, you can take the 14 (from water) and divide it by 2 (from lemon juice) to find that 7 is you missing number. You’ll then be able to plug 7 in to the following numbers. 28 divided by 4 is 7, 42 divided by 7 is 6, etc.

Answer: [tex]9.18 x 10[/tex]⁷[tex]tons[/tex]

Step-by-step explanation:

Given: The amounts of paper waste generated in a region during two years were 41,300,000 tons and 50,500,000 tons.

Then, the total paper waste generated over these two years in the region :-

[tex]41,300,000 + 50,500,000 = 91,800,000[/tex]

In scientific notation,

[tex]91,800,800 = 9.18 x 10[/tex]⁷

Hence, the total paper waste generated over these two years in the region =

[tex]9.18 x 10[/tex]⁷  [tex]tons[/tex]

Answer:

3-5: 3+(-5) and -5+3

5-3: 5+(-3) and -3+5

Step-by-step explanation:

3+(-5) is 3 plus -5 which is simplified into 3-5

-5+3 can be rearranged to make 3-5

5+(-3) is 5 plus -3 which is simplified into 5-3

-3+5 can be rearranged to make 5-3

Answer:1/3

Step-by-step explanation:

There are 6 sides and 2 numbers more than 4

Put that info into a fraction 2/6

Then simplify 1/3

Answer:

A, C, and D are the answers

Answer: B (F-D+2=T)

Step-by-step explanation:

We know that daisies has 2 more than the tulips. (D+2 = T)

The answer is B

Flowers - Daises + 2 = T

Since daises has 2 more flowers than tulips, thats why theres a (+2)

Answer:

570

Step-by-step explanation:

Least Common Multiple

The least common multiple (LCM) of two numbers is the smallest number that is even divisible by both numbers.

Hope this helps <3

Answer:

570

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

it might be six but can you show me what the chart looks like?

Answer:

60 textbooks

Step-by-step explanation:

1) 56*15:14=60

Answer:

60 textbooks

Step-by-step explanation:

To get the answer, you have to divide 56 by 14/15. What I'd do is id think of 56  

as 56/1. I'd change 14/15 into a multiplicative inverse/reciprocal, ending up with 15/14. From there, id multiply 56/1 and 15/14, ending up with 840/14.Using long division, id do 840 divided by 14, ending up with 60.

Answer:

19

Step-by-step explanation:

this question means you have to place the value of -7 were there's x in the function.

f(-7)=-3(-7)-2

=21-2

=19

I hope this helps

Answer:

40%

Step-by-step explanation:

total cupcakes: 14+21 = 35

Percentage with sprinkles = sprinkles / total

                                           = 14/35

                                           =.4

                                          = 40 %

Answer:

40%

Step-by-step explanation:

14 + 21 = 35

14/35 × 100 = 40

Therefore 40% of the cupcakes had sprinkles

Answer:

g(-12) is 10

Step-by-step explanation:

[tex]g(x) = 1 - \frac{3}{4} x [/tex]

when x is -12:

[tex]g( - 12) = 1 - \frac{3}{4} ( - 12) \\ g( - 12) = 10[/tex]

[tex] \sf \: g(x) = 1 - \frac{3}{4} x \\ \sf \:g(-12) = \: ? \\ \\ \sf \: Substitute\: the \: value \: of \: x \: as \: -12 \\ \\ \sf \:1 - \frac{3}{4} (-12) \\ \sf \: = 1 - \frac{3}{4} \times -12 \\ \sf \: = 1 + 9 \\ \sf \: = \underline{\bf \: 10}[/tex]

Hope it helps.

RainbowSalt2222

Answer:

a(n)= 120(1/2)^(n-1)

Step-by-step explanation:

60*x=120, x=60/120=1/2 so the sequence goes by a ratio of 1/2

a(n)=b(c)^n-1 and c=1/2. b= a(1)=120 so the formula is a(n)= 120(1/2)^(n-1)

Answer:120(1/2)^(n-1)

Step-by-step explanation:

60*x=120, x=60/120=1/2 so the sequence goes by a ratio of 1/2

a(n)=b(c)^n-1 and c=1/2. b= a(1)=120 so the formula is a(n)= 120(1/2)^(n-1)

Answer:

Attached below

Step-by-step explanation:

Starting value = 0

Gain +25 = 0 + 25 = 25

Loss = 25 +(-25) = 0

Start = 0 and End = 0

This one :

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

If they gained 25 yards they move up 25 on the number line, if they lost 25 yards after that they move back to having 0 yards

the only graph that models this is:

Answer:

a=8/3

Step-by-step explanation:

(-1/8)a=(5/8)a-2

2=((5/8)+(1/8))a

a=8/3

Step-by-step explanation:

hope this is helpful please

Answer:

(1)18y x 4x(1)

Step-by-step explanation:

Answer:

its 7.2

find the distance using the formula

square root ((y2-y1)^2+(x2-x1)^2)

hope that answers your question.

comment for more explanation

Answer:

[tex]\displaystyle x = \frac{4y - 8}{-5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle -5x - 4y = -8[/tex]

Step 2: Solve for x

Answer:

4y-8/ -5

Step-by-step explanation:

Answer:

I believe the answer to your question is 38.

Step-by-step explanation:

Here is what I did: First, I found the radius, and to do that, I did 12 divided by 2, which gave me 6. then I did 6 divided by 2, to find the radius, of the radius I just found.  which gave me 3, then I did 3 times 12, which gave me 36, so the answer should be 38 :)

Answer:

8

Step-by-step explanation:

Step-by-step explanation:

from what I understand this should be the answer:

x. y

12. 7. Because y=x-5 and 7=12-5

30. 25 Because 25=30-5

15. 10 Because 10=15-5

Answer:

10

Step-by-step explanation:

15-5=10, simple.

Answer:

Option A) The Median will change; the mode will stay the same

Step-by-step explanation:

Just did the Test on T4L and got it right :) Hope this helped (Pls mark me as brainliest)