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2 years ago

What is the equation of the line that passes through the point (-6,-8)(−6,−8) and has a slope of 1/3

Mathematics

2 answers:

Dmitriy789 [7]2 years ago

8 0

Answer:

y= $\frac{1}{3}$ x-6

Step-by-step explanation:

because slope is 1/3

so y= $\frac{1}{3}$ x+b

plug in (-6,-8)

y= $\frac{1}{3}$ x-6

iren2701 [21]2 years ago

4 0

Y=1/3 x=-6 is what you would need to discover

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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.

8 0

2 years ago

Someone help me with this

qwelly [4]

Answer:

Step-by-step explanation:

there are 9 digits.

and round it off to the nearest hundred million which is 3.

There are 8 digits before the 3... so 10 gets to the power of 8.___ 10⁸

3,0×10⁸ m.s^-1

3 0

2 years ago

A tangerine juice container is in the shape of a rectangular prism. The width is 26

geniusboy [140]

Answer:

V = 26d^2 + 624d

Step-by-step explanation:

Volume = Width x Depth x Height

V = 26 (d) (d+24)

Now distribute 26

V = 26d(d+24)

Then distribute 26d

V = 26d^2 + 624d

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3 years ago

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Lana71 [14]

i think

SAS

:) :) :) :) :) ;) ;)

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2 years ago

What is the correct answer

jok3333 [9.3K]

Answer:

Step-by-step explanation:

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2 years ago