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sp2606 [1]
2 years ago
5

assuming the growth rate stays constant at 1.2%, how many doublings would take place in a 500- year period?

Mathematics
1 answer:
Juliette [100K]2 years ago
3 0

9514 1404 393

Answer:

  8.6

Step-by-step explanation:

The growth factor per year is 1.012, so in 500 years is ...

  1.012^500

The number of doublings is the solution to ...

  2^n = 1.012^500

Taking logarithms, we have ...

  n·log(2) = 500·log(1.012)

  n = 500·log(1.012)/log(2) ≈ 8.6046

About 8.6 doublings will take place in 500 years.

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What divided by what equals 12
a_sh-v [17]

Many answers for this but 12/1=12

24/2=12

36/3=12

7 0
3 years ago
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Find the exact values of cos 3 pi/4 radians sin 3 pi/4 radians.
Liula [17]
If you consult the unit circle, you will see that:

cos(\frac{3\pi}{4}) = -\frac{\sqrt{2}}{2}\\\\sin(\frac{3\pi}{4}) = \frac{\sqrt{2}}{2}

3pi/4 in degrees is 3pi/4 * 180/pi = 3/4 * 180 = 135 degrees. And please refer to the attachment to how you can obtain the values above.

Now, lets multiply it together.

-\frac{\sqrt{2}}{2} \cdot \frac{\sqrt{2}}{2} =\\\\-\frac{2}{4} =\\\\ \boxed{\bf{-\frac{1}{2}}}

So, <span>cos(3pi/4)sin(3pi/4) = -1/2</span>

7 0
3 years ago
PLEASE HELP THANK YOU
Zanzabum

Answer:

13- $2

15-52

Step-by-step explanation:

8 0
3 years ago
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Henry drew the model below of his yard. He said the perimeter of the yard is 48 feet. He knows that one side is 9 feet wide. How
saw5 [17]

Answer:

15 feets

Step-by-step explanation:

Perimeter of a rectangle = 2(l + w)

l = Length ; w = width

Perimeter, p = 48

Length of all sides

p = 2(l + w)

48 = 2(l + 9)

48 = 2l + 18

48 - 18 = 2l

30 = 2l

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8 0
2 years ago
Which answer is correct? It wouldn’t let me click mathematics btw
Bad White [126]
6)
KM bisects on <NKL so m<MKN = m<MKL = 3x + 5

2(m<MKL) + m<JKN = 180
2(3x+5) + 8x + 2 = 180
6x + 10 + 8x + 2 = 180
14x + 12 = 180
14x = 168
    x = 12

so 
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answer
b. 41

7)

2 supplementary has sum = 180
x + x + 14 = 180
2x + 14 = 180
2x = 166
  x = 83
  x + 14 = 83 + 14 = 97

2 angles are 83 and 97

answer
b. 83, 97
7 0
3 years ago
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