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3 years ago

What is 72/18 as a decimal

Mathematics

1 answer:

Vikki [24]2 years ago

3 0

The answer to your question is 4

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An employee’s new salary is $26.355 after getting a 5% raise. What was the salary before the increase pay?

Serga [27]

Answer:

$25.03725

Step-by-step explanation:

Step 1: Multiply both sides by %5 to get the raise

26.355 * %5 is same as 26.355 * 0.05

$1.31775 is the raise

Step 2: Subtract the raise from the new salary

26.355 - 1.31775

25.03725

Answer: $25.03725

5 0

3 years ago

Can some help me please

Darina [25.2K]

Answer:

i cant see the first few

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Consider the differential equation:

Wewaii [24]

(a) Take the Laplace transform of both sides:

$2y''(t)+ty'(t)-2y(t)=14$

$\implies 2(s^2Y(s)-sy(0)-y'(0))-(Y(s)+sY'(s))-2Y(s)=\dfrac{14}s$

where the transform of $ty'(t)$ comes from

$L[ty'(t)]=-(L[y'(t)])'=-(sY(s)-y(0))'=-Y(s)-sY'(s)$

This yields the linear ODE,

$-sY'(s)+(2s^2-3)Y(s)=\dfrac{14}s$

Divides both sides by $-s$ :

$Y'(s)+\dfrac{3-2s^2}sY(s)=-\dfrac{14}{s^2}$

Find the integrating factor:

$\displaystyle\int\frac{3-2s^2}s\,\mathrm ds=3\ln|s|-s^2+C$

Multiply both sides of the ODE by $e^{3\ln|s|-s^2}=s^3e^{-s^2}$ :

$s^3e^{-s^2}Y'(s)+(3s^2-2s^4)e^{-s^2}Y(s)=-14se^{-s^2}$

The left side condenses into the derivative of a product:

$\left(s^3e^{-s^2}Y(s)\right)'=-14se^{-s^2}$

Integrate both sides and solve for $Y(s)$ :

$s^3e^{-s^2}Y(s)=7e^{-s^2}+C$

$Y(s)=\dfrac{7+Ce^{s^2}}{s^3}$

(b) Taking the inverse transform of both sides gives

$y(t)=\dfrac{7t^2}2+C\,L^{-1}\left[\dfrac{e^{s^2}}{s^3}\right]$

I don't know whether the remaining inverse transform can be resolved, but using the principle of superposition, we know that $\frac{7t^2}2$ is one solution to the original ODE.

$y(t)=\dfrac{7t^2}2\implies y'(t)=7t\implies y''(t)=7$

Substitute these into the ODE to see everything checks out:

$2\cdot7+t\cdot7t-2\cdot\dfrac{7t^2}2=14$

5 0

3 years ago

A box contains 20 red marbles and 30 blue marbles. A second box contains 10 white marbles and 40 black marbles. If you choose on

Vesna [10]

Answer: 2/20, because all those marbles in total is 100. the blue and black marbles would be 70, if you simplify all of it it'd be 2/25.

Step-by-step explanation:

3 0

2 years ago

Plz help me with these I wanna be done with my homework lol

yaroslaw [1]

3. $69.60
5.51 problems

6 0

2 years ago

Read 2 more answers