Which is true

1) 31^3 12^10

Answers

Answer 1
Answer:

Answer:

1,844,580,200,000,000 = 1.8445802×10^15

Step-by-step explanation:

31^3 x 12^10

31^3 = 31 x 31 x 31

12^10 = 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12

31^3 = 29791

12^10 = 61917364224

29791 x 61917364224 = 1,844,580,200,000,000 = 1.8445802×10^15

Answer 2
Answer:

Answer:

the firs one

Step-by-step explanation:


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I enter the garden. There are 34 people. You hug 30. How many people are in the garden.

Answers

There are 34 people in the garden prior to the time I joined them.

So when I entered the garden, the total number of people in the garden will be:

  • 34 + 1 = 35 people

Let assume, you as the reader was part of the people in the garden and you hugged 30 people. That doesn't add up or increase the number of people in the garden.

At the end of the day, the number of people you did not hug is:

35 - 30 - 1(you)

= 35 - 31

= 4 people

Therefore, we can conclude that there are 35 peoplepresent in the garden.

Learn more about word problems here:

brainly.com/question/2610134?referrer=searchResults

Answer:

34

Step-by-step explanation:

You have decided to wallpaper your rectangular bedroom. the dimensions are 12 feet 6 inches by 10 feet 6 inches by 8 feet 0 inches high. the room has two windows, each 4 feet by 3 feet and a door 7 feet by 3 feet. determine how many rolls of wallpaper are needed to cover the walls, allowing 10% for waste and matching. each roll of wallpaper is 30 inches wide and 30 feet long. how many rolls of wallpaper should be purchased?

Answers

The wall area is the product of the room perimeter and the room height:
   A₁ = (2*(12.5 ft + 10.5 ft))*(8.0 ft) = 368 ft²

The window and door area together is
   A₂ = 2*((4 ft)*(3 ft)) + (7 ft)*(3 ft) = 45 ft²

The area of one roll of wallpaper is
   A₃ = (2.5 ft)*(30 ft) = 75 ft²

Then the number of rolls of wallpaper required will be
   1.1*(A₁ - A₂)/A₃ ≈ 4.74

5 rolls of wallpaper should be purchased.

_____
As a practical matter, not much of the window and door area can be saved. The rolls are 30 inches wide, but the openings are 36 inches wide. Some will likely have to be cut from two strips. The strips will have to be the full length of the wall, and the amount cut likely cannot be used elsewhere. If the window and door area cannot be salvaged, then likely ceiling(5.4) = 6 rolls will be needed (still allowing 10% for matching and waste).

What is (1+2+3+4+5) + (1*2*3*4*5)?

HURRY

Answers

Answer:

135

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

(1+2+3+4+5)= 15

(1*2*3*4*5)= 120

15+120=135

given f(7)=4, f'(7)=10, g(7)=-1, g'(7)=8, find the values of the following: 1. (fg)'(7) = 2. (f/g)'(7) =

Answers

By the product rule,

(fg)'=f'g+fg'

so that

(fg)'(7)=f'(7)g(7)+f(7)g'(7)=10\cdot(-1)+4\cdot8=22

By the quotient rule,

\left(\frac fg\right)'=(f'g-fg')/(g^2)

so that

\left(\frac fg\right)'(7)=(f'(7)g(7)-f(7)g'(7))/(g(7)^2)=(10\cdot(-1)-4\cdot8)/((-1)^2)=-42

The United Van Lines moving company has a truck filled for deliveries to five different sites. If the order of the deliveries is randomly selected, what is the probability that it is the shortest route?

Answers

Answer:

0.8333%

Step-by-step explanation:

Assuming that there is only one possible shortest route, the probability that a randomly selected route is given by one divided by the permutation of the order of five different sites:

P=(1)/((5!)/((5-5)!))=(1)/(5*4*3*2*1)\n P=0.008333=0.8333\%

There is a 1 in 120 chance, or 0.8333% chance that a randomly selected route is the shortest possible route.

the cube of the sum of 4 and 9 times x divided by the product of 5 times x and the difference of x and 1​

Answers

Answer:

Step-by-step explanation:

(4 + 9x)^3 represents "the cube of the sum of 4 and 9 times x"

and if we divide by "the product of 5 times x and the difference of x and 1," we get

    (4 + 9x)^3

-----------------------

       5x(x - 1)

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