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Elanso [62]
3 years ago
5

What is 8 to the 7th power

Mathematics
1 answer:
saveliy_v [14]3 years ago
6 0
8 x 8 x 8 x 8 x 8 x 8 x 8
64 x 64 x 64 x 8
4096 x 512
=2 097 152
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Three Texas drovers met on a highway and began to dicker as follows:
Alik [6]

Answer:

  • Jim's: 7
  • Duke's: 21
  • Hank's: 11

Step-by-step explanation:

Let J, D, and H represent the drove sizes of Jim, Duke, and Hank.

  2(H -6 + 1) = (J +6 -1) . . . . . Hank's offer

  3(D -14 +1) = (H +14 -1) . . . . Duke's offer

  6(J -4 +1) = (D +4 -1) . . . . . . Jim's offer

These equations can be simplified to ...

  2H - J = 15

  3D - H = 52

  6J - D = 21

__

<u>Solution</u>

Adding twice the second equation to the first gives ...

  2(3D -H) +(2H -J) = 2(52) +(15)

  6D -J = 119

Adding 6 times the third equation to this one gives ...

  6(6J -D) +(6D -J) = 6(21) +(119)

  35J = 245

  J = 7

Using this value in the third equation gives ...

  6(7) -D = 21

  42 -21 = D = 21

Using the value of J in the first equation gives ...

  2H -7 = 15

  H = (15 +7)/2 = 11

Then the solution is (J, D, H) = (7, 21, 11).

Jim's drove had 7 animals; Duke's drove had 21 animals; Hank's drove had 11 animals.

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3 years ago
A new shopping mall records 120 total shoppers on their first day of business. Each day after that, the number of shoppers is 10
Iteru [2.4K]

Answer:

1,139\ shoppers

Step-by-step explanation:

we know that

In this problem we have a exponential function of the form

y=a(b)^{x}

where

a is the initial value or y-intercept

b is the base of the exponential function

r is the rate in decimal form

b=(1+r)

In this problem we have

x ----> the number of days

y ----> the number of shoppers

a=120

r=10%=10/100=0.10

b=1+0.10=1.10

substitute the values

y=120(1.10)^{x}

First day

y=120

Second day

For x=1 day

substitute the value of x in the equation and solve for y

y=120(1.10)^{1}=132

Third day

For x=2 days

y=120(1.10)^{2}=145

Fourth day

For x=3 days

y=120(1.10)^{3}=160

Fifth day

For x=4 days

y=120(1.10)^{4}=176

Sixth day

For x=5 days

y=120(1.10)^{5}=193

Seventh day

For x=6 days

y=120(1.10)^{6}=213

Adds the numbers

120+132+145+160+176+193+213=1,139

3 0
3 years ago
Read 2 more answers
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