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3 years ago

14

Is the sum of two consecutive numbers is always odd?

1 answer:

Gemiola [76]3 years ago

5 0

Answer:

Yes

Step-by-step explanation:

if you add two consecutive numbers, the answer is always an odd number. So a sum like this must have an odd number as a factor again.

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Inveres laplace transform (3s-14)/s^2-4s+8

Olenka [21]

Complete the square in the denominator.

$s^2 - 4s + 8 = (s^2 - 4s + 4) + 4 = (s-2)^2 + 4$

Rewrite the given transform as

$\dfrac{3s-14}{s^2-4s+8} = \dfrac{3(s-2) - 8}{(s-2)^2+4} = 3\times\dfrac{s-2}{(s-2)^2+2^2} - 4\times\dfrac{2}{(s-2)^2+2^2}$

Now take the inverse transform:

$L^{-1}_t\left\{3\times\dfrac{s-2}{(s-2)^2+2^2} - 4\times\dfrac{2}{(s-2)^2+2^2}\right\} \\\\ 3L^{-1}_t\left\{\dfrac{s-2}{(s-2)^2+2^2}\right\} - 4L^{-1}_t\left\{\dfrac{2}{(s-2)^2+2^2}\right\} \\\\ 3e^{2t} L^{-1}_t\left\{\dfrac s{s^2+2^2}\right\} - 4e^{2t} L^{-1}_t\left\{\dfrac{2}{s^2+2^2}\right\} \\\\ \boxed{3e^{2t} \cos(2t) - 4e^{2t} \sin(2t)}$

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3 years ago

Emily is entering a bicycle race for charity. Her mother pledges $0.90 for every 0.75 mile she bikes. If Emily bikes 15 miles, h

Kay [80]

18 because 15÷0.75 is 20. 20×.90 is 18. -JZ

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Suppose you are studying a population with the following characteristics: Birth rate = 14 per 1,000/year Death rate = 6 per 1,00

Nutka1998 [239]

Answer:

12 per 1,000 / year would be population growth

Step-by-step explanation:

To know the population growth it is important to know what it contributes to its growth and that it decreases it.

Birth rate ==> increases growth

Death rate ==> decreases growth

Immigration rate ==> increases growth

Emigration rate ==> decreases growth

Now it only remains to add those that increase growth and subtract those that decrease, like this:

14 per 1,000 / year - 6 per 1,000 / year + 5 per 1,000 / year - 1 per 1,000 / year = 12 per 1,000 / year

12 per 1,000 / year would be population growth

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What is the GCF of 61 & 73

oee [108]

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