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4 years ago

Express 6x5x4 in nPr form

Mathematics

2 answers:

tatuchka [14]4 years ago

6 0

Answer:

Look ʕ•ᴥ•ʔ

Step-by-step explanation:

The number of different permutation of n number of objects can be written as nPr.

6 x 5 x4 in nPr is 6P4 = 6! / (6-4)! or 6 x5 x4

larisa [96]4 years ago

3 0

<span>The number of different permutation of n number of objects can be written as nPr.</span>
6 x 5 x4 in nPr is 6P4 = 6! / (6-4)! or 6 x5 x4

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20x

Step-by-step explanation:

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Mai's water bottle had 24 ounces in it. After she drank x ounces of water, there were 10 ounces left.

nirvana33 [79]

Answer:

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Step-by-step explanation:

Given that Mai's water bottle had 24 ounces in it. After she drank x ounces of water, there were 10 ounces left, in order to determine the equation that represents this situation, the following reasoning has to be made:

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3 years ago

A country's population in 1991 was 114 million. In 1997 it was 120 million. Estimate the population in 2014 using exponential gr

Rufina [12.5K]

The answer is 138 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
Therefore:
$120 000 000 = 114 000 000 * e ^{n*6} \\ e ^{n*6} =120 000 000 /114000000 \\ e ^{n*6} =1.05 \\$
Logarithm both sides of the equation:
$ln(e ^{n*6})=ln(1.05) \\ n*6*ln(e) = ln(1.05) \\ 6n=ln(1.05) \\ n = \frac{ln(1.05)}{6} \\ n = \frac{0.05}{6} \\ n = 0.0083$

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17
$A = 120 000 000 * e ^{0.0083*17} \\ 
A = 120 000 000 * e^{0.1411} \\ 
A = 120 000 000 * 1.15 \\ 
A = 138 000 000
$
Thus, the population will be 138 million in 2014

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