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andreyandreev [35.5K]
3 years ago
13

How do you multiply 2 square roots? Ex.

="TexFormula1" title="\sqrt{2x+3} \sqrt{x-2}" alt="\sqrt{2x+3} \sqrt{x-2}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Murljashka [212]3 years ago
8 0

Answer:

Step-by-step explanation:

\sqrt{2x+3} \sqrt{x-2} =\sqrt{(2x+3)(x-2)} =\sqrt{2x^2-4x+3x-6} =\sqrt{x^2-x-6}

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What is the average rate of change of the function f(x)=4(2)^x from x=0 to x=2?
Umnica [9.8K]
I hope this helps you




x=0



f (0)=4.2^0=4



x=2


f (2)=4.2^2=16


3 0
3 years ago
The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expect
Liula [17]

Answer:

After 25 years the population will be:

  • Australia: 22271200
  • China: 1580220878
  • Mexico: 157380127
  • Zaire: 112794819

Step-by-step explanation:

Growth rate problem that has a growth rate proportional to the population size can be solved using the equation:

 P(t) = P₀eʳᵗ

  • t is your unit of time. It could be days, or hours, or minutes. It changes depending on each problem. In this problem, t is measured in years because you're jumping from 2000 to 2025. Years just makes the most sense to measure that leap in time.
  • P(t) is the population at time t. An example in this problem could be P(20) would be the population 20 years after the initial count. or maybe P(12) would be the population 12 years after the initial count. or P(0) would be the initial count of the population.
  • P₀ is the initial population at P(0)
  • r is the growth rate.<u><em> Don't forget to convert the percentage to its decimal form</em></u>

Now that everything is set out, lets use the equation to solve for our answer.

P(t) = P₀eʳᵗ

<u>Australia:</u>

P(t)=(19169000)e^{(0.006)t}

after 25 years

P(25)=(19169000)e^{(0.006)(25)}=22271200.6

<u>China:</u>

P(t) = (1261832000)e^{(.009)t}

after 25 years:

P(25)=(1261832000)e^{(.009)(25)}=1580220878

<u>Mexico:</u>

P(t) = (100350000)e^{(0.018)t}

after 25 years:

P(25)=(100350000)e^{(0.018)(25)}=157380127.8

<u>Zaire:</u>

P(t) = (51965000)e^{(0.031)t}

after 25 years:

P(25)=(51965000)e^{(0.031)(25)}=112794819.9

6 0
4 years ago
The length of a rectangle is 13 feet. The width is 9 feet. What is the perimeter of the rectangle?
KatRina [158]
13 + 13 + 9 + 9 = 44 feet.
Please make this answer the brainliest!
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Instructions: Find the angle measures given the figure is a rhombus.
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Answer:

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Step-by-step explanation:

Divide 140 by 2 and apply the rule of alternante interior angles

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The answer is B
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