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Andru [333]
2 years ago
15

What is the value of x​

Mathematics
1 answer:
Leokris [45]2 years ago
5 0

Answer:

X = 40°

Step-by-step explanation:

The sum of the interior angles in a triangle is 180°. This means that:

2X + 35 + 2X - 15 = 180° - we can simplify this

4X + 20 = 180° - now, subtract 20 from both sides

4X = 160° - finally, divide both sides by 4

X = 160 ÷ 4 = 40°

X = 40°

Hope this helps!

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HELP ASAP: Factor By Grouping: 12a^3 - 9a^2 + 4a - 3
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We have been given an expression 12a^3 - 9a^2 + 4a - 3. We are asked to factor the given expression by grouping.

First of all, we will make two groups of our expression as:

(12a^3-9a^2)+( 4a - 3)

Now we will factor of greatest common factor from each group.

(3a^2\cdot 4a-3a^2\cdot 3)+( 4a - 3)

3a^2(4a-3)+1( 4a-3)

Now we will factor out common terms (4a-3) as:

(4a-3)( 3a^2+1)

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What is 18k + 30fk in like terms. Will give brainliest to correct answer.
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6k(5f+3)

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18k+30fk

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6(3k+5fk)

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Need help on this problem
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Using an exponential function, it is found that:

  • For Country A, the doubling time is of 43 years.
  • For Country B, the growth rate is of 1.9% per year.

<h3>What is the exponential function for population growth?</h3>

The exponential function for population growth is given as follows:

P(t) = P(0)e^{kt}

In which:

  • P(t) is the population after t years.
  • P(0) is the initial population.
  • k is the exponential growth rate, as a decimal.
  • t is the time in years.

For Country A, we have that k = 0.016. The doubling time is t for which P(t) = 2P(0), hence:

P(t) = P(0)e^{kt}

2P(0) = P(0)e^{0.016t}

e^{0.016t} = 2

\ln{e^{0.016t}} = \ln{2}

0.016t = \ln{2}

t = \frac{\ln{2}}{0.016}

t = 43 years.

For Country B, P(36) = 2P(0), hence we have to solve for k to find the growth rate.

P(t) = P(0)e^{kt}

2P(0) = P(0)e^{36k}

e^{36k} = 2

\ln{e^{36k}} = \ln{2}

36k = \ln{2}

k = \frac{\ln{2}}{36}

k = 0.019.

For Country B, the growth rate is of 1.9% per year.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

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How to divide 8 by 3 the long way
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The number 8 divided by 3 is 2 with a remainder of 2 (8 / 3 = 2 R.

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