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Ira Lisetskai [31]
1 year ago
6

What is the missing lengths for the problems?

Mathematics
1 answer:
FrozenT [24]1 year ago
5 0

Answer:

≈5.6

Step-by-step explanation:

Use ratios: 4/3 = 7.5/x

3 times 7.5 then divide by 4 to get 5.6

Let me know if this helped you out!

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Sue stacked one box onto another. The bottom box had the height of 2 1/3 feet and the top box had the height of 3 2/3 feet. How
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Convert 120 lbs to kilograms. (1 kg = 2.2 lbs)
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A country's population in 1991 was 231 million. In 1999 it was 233 million. Estimate the population in 2003 using the exponentia
Stolb23 [73]

Remark

This problem is done in 2 steps. The first step determines k and the second step is your answer.

Determining K

P = 233 million

A = 231 million

k = ??

t = 1999 - 1991 = 8 years.

Solution

P = Ae^(kt)

233 = 231 * e ^(kt)           Divide by 231

233/231 = e^(k8)              Do the division

1.008658 = e^(k8)            Take the log of both sides.

ln(1.008658) = k8 * ln(e)   You are in natural logs. Ln(e) = 1; kt can be brought down and made into a result that is multiplied by ln(e)

ln(1.008658) = 8k              Take the ln of 1.008 ...

0.008621 = 8k                    Divide by 8

k = 0.008621 / 8

k = 0.0011 rounded, but a more accurate number is in the storage area of the calculator.

Now to get the second part.

P = ??

A = 231

k = 0.0011

t = 12

P = 231 * e^(0.0011*12)

P = 231 * e^(0.012931114) using the stored value of M

P = 231 * 1.013015083

P = 234.006 which rounded to the closest million is 234 million

Answer 234 million.

3 0
4 years ago
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