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DedPeter [7]
3 years ago
12

Use the equation, 16^2x=32^(x+3), to complete the following problems.

Mathematics
1 answer:
olga55 [171]3 years ago
8 0

Answer:

x = 5

Step-by-step explanation:

2⁴(2x) = 2⁵(x + 3)

2^8× = 2^5x + 15

cancel out the 2

8x = 5x + 15

8x - 5x = 15

3x = 15

divide through by 3

x = 5

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nikklg [1K]
6.5%=.065
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5 0
3 years ago
A formula is given with the value of all but one of the variables in the formula. Find the value of the variable not given.
Svet_ta [14]

Answer:

P = 24

Step-by-step explanation:

P = 2L + 2W ( substitute L = 4, W = 8 into the formula )

P = 2(4) + 2(8) = 8 + 16 = 24

5 0
3 years ago
Read 2 more answers
15z-7=14z+12 What does Z equal​
Anika [276]

Answer:

19

Step-by-step explanation:

15z-14z=12+7

z=19

8 0
3 years ago
Trash Cans: Elliot's family has a cylinder shaped trash can. It takes the family a few days to fill the trash can up. Elliot wan
Elza [17]

The volume of cylinder shaped trash can is 4698 cubic inches, if the trash can has a height of 24.90 inches and a diameter of 15.50 inches.

Step-by-step explanation:

The given is,

                  Trash can has a height of 24.90 inches

                  Diameter of 15.50 inches

Step:1

                Formula to calculate the volume of cylinder,

                              Volume, V = \pi r^{2} h.............................(1)

               Where, r - radius of cylinder

                           h - Height of cylinder

               From given,

                          h - 24.90 inches

                          D - 15.50 inches

                Diameter to radius conversion,

                                   Radius, r = \frac{d}{2}

                                                   = \frac{15.50}{2}

                                                r = 7.75 inches

              Equation (1) becomes,

                                                V = \pi (7.75^{2} )(24.90)

                                                    = \pi (60.0625)(24.90)

                                                    =\pi (1495.556)

                                                    =(3.1416) (1495.556)           (∵ \pi = 3.1416 )

                                                    = 4698.42

                                                   ≅ 4698 cubic inches

           Volume of trash can, V = 4698 cubic inches

Result:

             The volume of cylinder shaped trash can is 4698 cubic inches, if the trash can has a height of 24.90 inches and a diameter of 15.50 inches.                                

                                     

6 0
3 years ago
What is the factored form of m2 + - 27n2
Illusion [34]
2(m-27n) this is the answer
3 0
3 years ago
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