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3 years ago

Is 7/8x proportional or non proportional

Mathematics

1 answer:

ANTONII [103]3 years ago

4 0

Non proportional I think

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Pete has 3 dollars less than what Linda has. If together has 81 dollars how much does each person have?

Makovka662 [10]

Answer:

Pete: 39, Linda: 42

Step-by-step explanation:

Suppose Pete has x dollars. If he has 3 dollars less than Linda, then Linda has 3+x dollars. Together, they have 81 dollars:

x+3+x=81

2x+3=81

2x=78

x=39

Since Pete has x dollars, and x=39, he has $39.

Linda has 3+x, which is 39+3 = $42

<em>I hope this helps! :)</em>

8 0

3 years ago

PLEASE HELP I DO NOT UNDERSTAND AT ALL ITS PRECALC PLEASE SERIOUS ANSWERS

Elina [12.6K]

You want to end up with $A\sin(\omega t+\phi)$ . Expand this using the angle sum identity for sine:

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

We want this to line up with $2\sin(4\pi t)+5\cos(4\pi t)$ . Right away, we know $\omega=4\pi$ .

We also need to have

$\begin{cases}A\cos\phi=2\\A\sin\phi=5\end{cases}$

Recall that $\sin^2x+\cos^2x=1$ for all $x$ ; this means

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

Then

$\begin{cases}\cos\phi=\frac2{\sqrt{29}}\\\sin\phi=\frac5{\sqrt{29}}\end{cases}\implies\tan\phi=\dfrac{\sin\phi}{\cos\phi}=\dfrac52\implies\phi=\tan^{-1}\left(\dfrac52\right)$

So we end up with

$2\sin(4\pi t)+5\cos(4\pi t)=\sqrt{29}\sin\left(4\pi t+\tan^{-1}\left(\dfrac52\right)\right)$

8 0

3 years ago

Read 2 more answers

Please help with these questions... I've been trying to figure them out for like twenty minutes and at this point I just don't h

vlada-n [284]

Answer:

1. y=2x^2-8X-1

2. y=-6x^2+36x-63

3. y=-3x^2+18x-34

4. y=9x^2+54x+76

5. y=-x^2+8x-22

6. y=6x^2-48x+90

7. y=8x^2+16x+5

8. y=2x^2-8x+1

Have a great day :)

3 0

3 years ago

15 plus the quotient of 60 and w

Romashka [77]

$15+60:w=15+\dfrac{60}{w}$

6 0

3 years ago

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Does anybody know the answer?

Anon25 [30]

Answer:

0.00000381469

Step-by-step explanation:

there u go

4 0

3 years ago