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snow_tiger [21]
2 years ago
8

If y is inversely proportional to x and y=−54 when x=38, find y if x=30. (Round off your answer to the nearest hundredth.)

Mathematics
1 answer:
lys-0071 [83]2 years ago
3 0

Answer:

-68.4

Step-by-step explanation:

answer explained on the photo !

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Janie walks 1 mile to get to a running track.she then runs at a speed of 3.5 miles per hour.Which linear models represents the t
MrMuchimi

Answer:

d = 3.5t + 1

Step-by-step explanation:

The linear function would have to multiply the speed she runs at the track by the number of hours that she spent running. Then it should add this amount to the 1 mile that she walked to get to the track. If we use the variable d as the total distance that she ran and walked, and the variable t to represent time then we would create the following linear function/model.

d = 3.5t + 1

3 0
3 years ago
1500/semiannual period for 6 years at 2.5%/year compounded semiannually
kari74 [83]

\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$1500\\ r=rate\to 2.5\%\to \frac{2.5}{100}\dotfill &0.025\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannual, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &6 \end{cases} \\\\\\ A=1500\left(1+\frac{0.025}{2}\right)^{2\cdot 6}\implies A=1500(1.0125)^{12}\implies A\approx 1741.13

6 0
3 years ago
If anyone could help that would be greatly appreciated!
Serggg [28]

B. rational means it does not go on forever.

4 0
3 years ago
Use identities to find the values of the sine and cosine functions for the following angle measure.
puteri [66]

Using the cosine double angle formula,

\cos 2\theta=2\cos^2 \theta-1=\frac{12}{13}\\\\2\cos^{2} \theta=\frac{25}{13}\\\\\cos^{2} \theta=\frac{25}{26}\\\\\boxed{\cos \theta=\frac{5}{\sqrt{26}}}

(Note I took the positive case since \theta terminates in the first quadrant)

Using the Pythagorean identity,

\sin^2 \theta+\cos^2 \theta=1\\\\\sin^2 \theta+\frac{25}{26}=1\\\\sin^2 \theta=\frac{1}{26}\\\\\boxed{\sin \theta=\frac{1}{\sqrt{26}}}

(Note I took the positive case since \theta terminates in the first quadrant)

6 0
1 year ago
the length of a rectangle is 7m more than twice the width, and the area of the rectangle is 99m to the second power. find the di
miv72 [106K]

Answer:

The area of a rectangle is 99 m^2 , and the length of the rectangle is 7 m more than double the width

Step-by-step explanation:

3 0
3 years ago
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