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olga nikolaevna [1]
3 years ago
15

Evaluate the expression. (343)^-1/3​

Mathematics
1 answer:
Sonbull [250]3 years ago
4 0

Answer:

1/7

Step-by-step explanation:

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If (w+13)^2=(3w+7)(2w+4), find w^2. Express your answer as a decimal.
faltersainse [42]
Answer: w² equals to 28.2
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The population, P(t), of China, in billions, can be approximated by1 P(t)=1.394(1.006)t, where t is the number of years since th
vitfil [10]

Answer:

At the start of 2014, the population was growing at 8.34 million people per year.

At the start of 2015, the population was growing at 8.39 million people per year.

Step-by-step explanation:

To find how fast was the population growing at the start of 2014 and at the start of 2015 we need to take the derivative of the function with respect to t.

The derivative shows by how much the function (the population, in this case) is changing when the variable you're deriving with respect to (time) increases one unit (one year).

We know that the population, P(t), of China, in billions, can be approximated by P(t)=1.394(1.006)^t

To find the derivative you need to:

\frac{d}{dt}\left(1.394\cdot \:1.006^t\right)=\\\\\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'\\\\1.394\frac{d}{dt}\left(1.006^t\right)\\\\\mathrm{Apply\:the\:derivative\:exponent\:rule}:\quad \frac{d}{dx}\left(a^x\right)=a^x\ln \left(a\right)\\\\1.394\cdot \:1.006^t\ln \left(1.006\right)\\\\\frac{d}{dt}\left(1.394\cdot \:1.006^t\right)=(1.394\cdot \ln \left(1.006\right))\cdot 1.006^t

To find the population growing at the start of 2014 we say t = 0

P(t)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^t\\P(0)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^0\\P(0)' = 0.00833901 \:Billion/year

To find the population growing at the start of 2015 we say t = 1

P(t)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^t\\P(1)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^1\\P(1)' = 0.00838904 \:Billion/year

To convert billion to million you multiple by 1000

P(0)' = 0.00833901 \:Billion/year \cdot 1000 = 8.34 \:Million/year \\P(1)' = 0.00838904 \:Billion/year \cdot 1000 = 8.39 \:Million/year

6 0
3 years ago
Alice works at a health care facility. She has measured the hemoglobin levels of 200 people. The data follows a normal distribut
amid [387]
              This is a normal distribution with a Mean: 14 g/dL and a Standard deviation: 1 g/dL.
    A ) Hemoglobin levels less than 13:
    13 = 14 - 1 = Mean - 1 SD
    0.16  x 200 = 32
    Answer:  32 people.
    B ) Hemoglobin levels greater than 14 :
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     Answer:  100 people. 
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Need help will give thanks and brainliest
Lina20 [59]

Answer : y = 11x + 24

7 0
3 years ago
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When purchasing a house you need to pay the real estate company 4.5 of the total price if the house sells for 130,000 how much m
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Answer:

$5,850

Step-by-step explanation:

4.5% = 0.045

0.045 x 130,000 = 5850

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3 years ago
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