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3 years ago

Simplify the expression

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

8 0

This question it has to simplifying with their expression.

<span> 2(5+9)-6

= 22

Answer is C. 22

It will help you.

Have a great day.

-Charlie</span>

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the price of a 14 oz box of crackers is $2.94. the price of a 20 oz box is $3.60. what is the difference in price per ounce ?

solong [7]

Answer:

The difference in price per ounce of the boxes is $0.03 or 3 cents.

Step-by-step explanation:

Divide each dollar amount by the ounces. The answer to $2.94 divided by 14 is 21 cents. $3.60 divided by 20 is 18 cents. Subtract 18 cents from 21 cents to get 3 cents.

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3 years ago

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A skydiver falls 60 feet in five seconds. How far does the skydiver fall per<br> Second

astra-53 [7]

Answer:

12 feet

Step-by-step explanation:

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3 years ago

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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:

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

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3 years ago

mason worked 24 hours at the book shop at an hourly rate of $ 8.75 . how much medicare tax will be deducted from his paycheck th

Charra [1.4K]

First, find out how much he made in the week total: 24($8.75) = $210
The, find 1.45% of 210: (.0145)(210) = 3.045
*note that 1.45% = .0145*
Round that number to 3.05 and you have your answer

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3 years ago

Consider this equation: 2x + 2 = 11 - x

77julia77 [94]

Addition bc. you need adding to both sides x and will get this result of 3x+2 = 11

hope helped

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