All categories

2 years ago

How does y vary with x

1 answer:

4 0

Answer: y varies directly as x ", " y varies proportionally as x ", or " y is directly proportional to x . ") This means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same.

Step-by-step explanation:

You might be interested in

Can someone help me please

marysya [2.9K]

Answer:

Step-by-step explanation:

8 0

2 years ago

Write six and eight hundred four ten-thousandths as a decimal number

noname [10]

Answer:

6.08

Step-by-step explanation:

6 804/10,000= 60804/ 10000= 6.08

3 0

3 years ago

What is the answer to the equation 13-3/2x=37?

morpeh [17]

13-(3/2x)=37
3/2x=24
1.5x=24
x=16

5 0

3 years ago

Which questions are statistical questions?

Yanka [14]

Answer:

Which questions are statistical questions?

what is the number of students what is the height of each in my class?

how many servings of fruit did eat each day this month?

what is my height?

what is the highest temprature

of each month this year?

how many students from each school in this city love football?

Step-by-step explanation:

Need to include numerical values

8 0

2 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

2 years ago

Read 2 more answers