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Varvara68 [4.7K]
3 years ago
13

PLEASE HELP!!

Mathematics
1 answer:
ad-work [718]3 years ago
3 0

Step-by-step explanation:

  • 5^-2= 1/25 (as when taken up 25 it becomes 5^-2).
  • 2^5= 32 (when we multiply 2 for 5 times, we get 32).(2×2×2×2×2)
  • 2^-4=1/16 (as when we take up 16 we get 2^-4)
  • 5^3=125 (when we multiply 5 for 3 times we get 125)(5×5×5)

<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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Find the distance between the points (8,1) and (2,10).<br> Round decimals to the nearest tenth.
miss Akunina [59]

The nearest distance between the points (8,1) and (2,10) is 11 units, which is mentioned in and also calculated by using formula.

Step-by-step explanation:

The given is,

             Two points are (8,1) (2,10)

Step: 1

            By graphical method, refer the attachment,

                    First point (8,1)

                           The values of x=8 and y=1 noted in the graph

                    Second point (2,10)

                          The values of x=2 and y=10 noted in the graph

            Now join the two points (8,1) and (2,10)

                          Measure the distance between two points, the distance is 11 units. Due to some error the value becomes 10.98 or 11.1 we need to convert the answer into nearest whole number.

                                                     ( OR )

Step:1

        By formula method,

                   Distance =  \sqrt{(x_{2} - x_{1} )^{2} +(y_{2} - y_{1} )^{2} }.....................(1)

        Where,

                    (8,1) are (x_{1},y_{1})

                    (2,10) are (x_{2},y_{2})

       From the equation,

                                 = \sqrt{(2 - 8 )^{2} +(10 - 1 )^{2} }

                                 = \sqrt{(-6 )^{2} +(9 )^{2} }

                                 = \sqrt{36 +81 }

                                  = \sqrt{117}

                                  = 10.81665

                                  ≅ 11             ( Answer convert to the nearest tenth)

                  Distance = 11 units

Result:

               The nearest distance between the points (8,1) and (2,10) is 11 units, which is mentioned in and also calculated by using formula.

5 0
3 years ago
If f(x) = 4^x - 8 and g(x) = 5x + 6, find (f - g)(x)
olganol [36]

Answer:

4^x-5x-14

Step-by-step explanation:

f-g=(4^x-8)-(5x+6)=4^x-8-5x-6=4^x-5x-14

6 0
3 years ago
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What is the surface area of the triangular prism? A. 13 in.2 B. 36 in.2 C. 78 in.2 D. 84 in.2
NISA [10]
Answer :36in2


example:
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4 0
3 years ago
Find the difference <br><br><br> 15 - (-15)
Yuki888 [10]

Answer:

30

Step-by-step explanation:

Note that, when two negative signs are directly next to each other, they mean addition. Note the rule:

A positive sign & A positive sign = Positive number.

A positive sign & A negative sign = Negative number.

A negative sign & A negative sign = Positive number.

In this case:

- (-15) = + 15

Simplify. Combine like terms:

15 + 15 = 30

30 is your answer.

~

8 0
3 years ago
Find the surface area of a cubical planter<br> measuring 30 inches on a side.
Snezhnost [94]

30 x 30 = 900

This is the surface area of one side

900 x 6

Multiply by 6 to get the surface area of all 6 sides of the cube

900 x 6 = 5400

3 0
3 years ago
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