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3 years ago

5

Gina hiked down a canyon and stopped each time she descended ½ mile to rest. She hiked a total of 4 sections. What is her overal

l change in elevation?

1 answer:

faust18 [17]3 years ago

4 0

She descended 2 Miles

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Find the equation of the line tangent to the graph of f(x)=(lnx)^(4)at x=10

Diano4ka-milaya [45]

Hello,

Step-by-step explanation:

$f(x) = ln(x) {}^{4}$

$(ln(u)') = \frac{u'}{u}$

$f'(x) = \frac{4ln {}^{} (x) {}^{3} }{x}$

$f'(10) = \frac{4ln {}^{} (10) {}^{3} }{10} = \frac{12ln(x)}{x}$

$f(10) = ln(10) {}^{4}$

$y = \frac{12ln(x)}{x} (x - 10) + 4ln(10)$

$y = f'(a)(x - a) + f(a)$

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2 years ago

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Answer:

8/3

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Step-by-step explanation:

1 3/5 = 8/5

1 1/5 = 6/5

8/5=6/5*1/2*h

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2 years ago

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Solve for c: 2a+3b=c

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3 years ago

In 2018, the population will grow over 700,000.The population of a city in 2010 was 450,000 and was growing at a rate of 5% per

Firlakuza [10]

Answer:

The year is 2020.

Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

Given:

Initial population is, $P_0=450,000$

Growth rate is, $r=5\%=0.05$

Final population is, $P=700,000$

A population growth is an exponential growth and is modeled by the following function:

$P=P_0(1+r)^x$

Taking log on both sides, we get:

$\log(P)=\log(P_0(1+r)^x)\\\log P=\log P_0+x\log (1+r)\\x\log (1+r)=\log P-\log P_0\\x\log(1+r)=\log(\frac{P}{P_0})\\x=\frac{\log(\frac{P}{P_0})}{\log(1+r)}$

Plug in all the given values and solve for 'x'.

$x=\frac{\log(\frac{700,000}{450,000})}{\log(1+0.05)}\\x=\frac{0.192}{0.021}=9.13\approx 10$

So, for $x > 9.13$ , the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

Therefore, the tenth year after 2010 is 2020.

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The slope of this graph is 6

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