2 years ago

Can someone help its due soon

Mathematics

1 answer:

Norma-Jean [14]2 years ago

4 0

I dunno if this is right or not but x=20.

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2 years ago

For her cell phone plan, Jane pays $30 per month plus $0.05 per text. She wants to keep her bill under $60 per month. What is th

Varvara68 [4.7K]

600 texts. To check work 600*0.05=30, she is already paying 30, 30+30=60

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2 years ago

Problem 1: Use the Laplace Transforms to solve:

Leokris [45]

Transforming the ODE yields

$L\left\{y'' - y'\right\} = L\left\{e^{-3t}\right\}$

$(s^2 Y(s) - sy(0) - y'(0)) - (s Y(s) - y(0)) = \dfrac1{s+3}$

$(s^2 - s) Y(s) = \dfrac1{s+3}$

$Y(s) = \dfrac1{(s^2 - s)(s+3)} = \dfrac1{s(s-1)(s+3)}$

Partial fractions:

$Y(s) = \dfrac as + \dfrac b{s-1} + \dfrac c{s+3}$

$\implies 1 = a(s-1)(s+3) + b s(s+3) + c s(s - 1)$

$\implies 1 = -3 a + (2 a + 3 b - c) s + (a + b + c) s^2$

$\implies \begin{cases}-3a=1 \\ 2a+3b-c=0 \\ a+b+c=0\end{cases} \implies a=-\dfrac13, b=\dfrac14, c=\dfrac1{12}$

$\implies Y(s) = -\dfrac13 \times \dfrac1s + \dfrac14 \times \dfrac1{s-1} + \dfrac1{12} \times \dfrac1{s+3}$

Take the inverse transform:

$\boxed{y(t) = -\dfrac13 + \dfrac{e^t}4 + \dfrac{e^{-3t}}{12}}$

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2 years ago

A dog sleep from 10:36 PM to 3:36 AM.How long did the dog sleep?

jolli1 [7]

Answer:

5 hours.

Step-by-step explanation:

Note that the clock "restarts" at 12, and flips from PM to AM (and vice versa).

In this case:

1st hour: 10:36 - 11:36pm

2nd hour: 11:36pm - 12:36am

3rd hour: 12:36am - 1:36am

4th hour: 1:36am - 2:36am

5th hour: 2:36am - 3:36am

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2 years ago

Read 2 more answers

can someone help me I need a quick answer. If a base of 5 has an exponent of 2 and is subtracted from a base of 4 that hs an exp

lianna [129]

Answer:

Step-by-step explanation:

4^3 equals 64, and 5^2 equals 25. 64 - 25 = 39.

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2 years ago