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3 years ago

Elle is 23 years old.

1 answer:

4 0

Let, the number of Years = x
Then, (58 + x) = 2(23 + x)
58 + x = 46 + 2x
2x - x = 58 - 46
x = 12

In short, After 12 Years,<span>Elle's mother be twice as old as Elle

Hope this helps!</span>

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c2*sin(wt)+c1*cos(wt)= A*Sin(wt+phi), where c2=Acos(Phi) and c1=Asin(Phi). They ask me to find the amplitude of the function 2 s

Iteru [2.4K]

The amplitude of $A\sin(\omega t+\phi)$ is the absolute value of $A$ . So first you need to condense the given function into one sine expression.

Recall that

$A\sin(\omega t+\phi)=A\sin(\omega t)\cos\phi+A\cos(\omega t)\sin\phi$

so you need to choose $\phi$ and $\omega$ accordingly.

If we line up the terms of the given function with the expanded one above, we should have

$2\sin(4\pi t)+5\cos(4\pi t)\implies\begin{cases}A\cos\phi=2\\A\sin\phi=5\\\omega=4\pi\end{cases}$

Now, using the Pythagorean identity,

$(A\sin\phi)^2+(A\cos\phi)^2=2^2+5^2\implies A^2=29\implies A=\pm\sqrt{29}$

so the amplitude is √29.

Just for completeness, we also get

$\tan\phi=\dfrac{\sin\phi}{\cos\phi}=\dfrac52\implies\phi=\tan^{-1}\left(\dfrac52\right)+n\pi$

where $n$ is any integer.

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3 years ago

Find s(2t - 4) for s(t) = 3t - 7 <br> A)6t - 19 B) 6t - 18 C) 5t - 11 D) 5t - 19

asambeis [7]

Hello,

Answer A

s(x)=3x-7
s(2t-4)=3*(2t-4)-7=6t-12-7=6t-19

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4 years ago

saved Erica saved 20% on a shirt she just bought if the amount of money she saved was $6 what was the original price of the shir

olga2289 [7]

If the amount she saved was $6 for 20%, then the formula for finding savings would be cost*percentage.
But if you want to find the original cost, then you play with the current formula until you get this. $6/20%. Have a good one :)

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dexar [7]

Answer:

The answer is f(5) = -1

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elena-s [515]

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