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3 years ago

3/4 + 2/8 = I need help

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

6 0

Answer:

Step-by-step explanation:

3/4 + 2/8 =

First you need to find a common denominator, and in this case, it can be 4

2/8 = 1/4 ( i divided the numerator and denominator by 2)

3/4 + 1/4 = 4/4 = 1

Check

4/4 - 3/4 = 1/4

4/4 - 1/4 = 3/4

Correct!

Hope this helped!

Have a supercalifragilisticexpialidocious day!

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In ΔLMN, \overline{LN} LN is extended through point N to point O, \text{m}\angle NLM = (x-4)^{\circ}m∠NLM=(x−4) ∘ , \text{m}\ang

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Answer:

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Step-by-step explanation:

Kindly find the diagram attached.

From the diagram we are given two interior angles ∠NLM and ∠LMN and exterior angle ∠MNO.

You must understand that sum of interior angles is equal to the exterior angles.

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Given parameters

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Substitute the given parameters into the equation above;

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Answer:

The best prediction for the number of years it will take for the population to reach 200,000 is 9.41

Step-by-step explanation:

Year Population

1 11,920

2 16,800

3 23,300

4 33,000

5 45,750

6 64,000

$y_1 =A _0 e ^{kt _1}\\y_2 = A_0 e^{k t_2}\\(t_1,y_1)=(1,11920)\\(t_2,y_2)=(2,16800)$

Substitute the values

$11920=A _0 e ^{k} ---1\\16800 = A_0 e^{2k} ---2$

Divide 1 and 2

$\frac{11920}{16800}=\frac{e^k}{e^{2k}}\\\frac{11920}{16800}=e^{k-2k}\\ln(\frac{11920}{16800})=-k\\k=-1 ln(\frac{11920}{16800})\\k=0.3432\\A_0=y_1 e^{-k t_1}\\A_0=11920 e^{-0.3432}\\A_0=8457.5238$

The exponential function that passes through the points (1, 11920) and (2, 16800) is $y=8457.5238 e^{0.3432t}$

Now we are supposed to find the best prediction for the number of years it will take for the population to reach 200,000

$200000=8457.5238 e^{0.3432t}$

$\frac{200000}{8457.5238}=e^{0.3432t}$

$ln(\frac{200000}{8457.5238})=0.3432t$

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Hence the best prediction for the number of years it will take for the population to reach 200,000 is 9.41

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