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professor190 [17]

3 years ago

9

Find the equation of a line that passes through (2,9) and is parallel to the graph of y=3x+5 Write the equation in slope-interc

ept form, if possible.

1 answer:

Vika [28.1K]3 years ago

8 0

Answer:

y=3x+3

Step-by-step explanation:

9=3(2)+c

9=6+c

c=3

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The population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year. A) Estimate how lo

VLD [36.1K]

Answer:

A) 63.36 years.

B) 100.42 years.

Step-by-step explanation:

We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.

A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.

$P(t)=7.1(1.011)^{t}$

$7.1 \times 2=7.1(1.011)^{t}$

$\frac{7.1 \times 2}{7.1} =(1.011)^{t}$

$2 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(2) =ln (1.011)^{t}$

$ln(2) =t \cdot ln(1.011)$

$0.6931471805599453 =t \cdot 0.0109399400383344$

$t=\frac{0.6931471805599453}{0.0109399400383344}$

$t=63.3593217267282743049\approx 63.36$

Therefore, it will take 63.36 years the population to be double.

B) Now we will find the number of years it will take the population to be triple of its size.

$7.1 \times 3=7.1(1.011)^{t}$

$\frac{7.1 \times 3}{7.1} =(1.011)^{t}$

$3 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(3) =ln (1.011)^{t}$

$ln(3) =t \cdot ln(1.011)$

$1.0986122886681097 =t \cdot 0.0109399400383344$

$t=\frac{1.0986122886681097}{0.0109399400383344}$

$t=100.4221490079915311298\approx 100.42$

Therefore, it will take 100.42 years the population to triple of its size.

6 0

3 years ago

Which is greater 0.01 or 0.6??

AysviL [449]

i am pretty sure it is 0.6

8 0

4 years ago

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This oblique circular cone has a radius of 5\text{ m}5 m5, start text, space, m, end text and a height of 6\text{ m6 m6, start t

zysi [14]

Answer:

$157 m^{3}$

Explanation:

Volume = 1/3(area of base) times height. 1/3(PI X R(squared)) X height. 1/3 x 3.14 x 25 x 6 = 157

<em>Hope this helps and have a great day/night!</em>

<em> -</em><em><u>grey</u></em>

4 0

3 years ago

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Whats the answer for this?? 2×56 (76,04??

raketka [301]

112 is the answer. I am not really sure what the parenthesis are for, but those answers in the parenthesis are wrong.

8 0

3 years ago

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Point A is 4 units away from the origin along the x-axis, and is 7 units away along the y-axis. Which of the following could be

siniylev [52]

Answer: C (4,7)

Points are labeled as (x,y)

If the unknown point is 4 units away from the origin on the x axis, x will be 4

If the unknown point is 7 units away from the origin on the y axis, y will be 7

Therefore (4,7)

6 0

2 years ago

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