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3 years ago

What is the explicit formula for this sequence -7, -4, -1, 2, 5

Mathematics

1 answer:

ch4aika [34]3 years ago

6 0

$a_n=3n-10$

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The Carousel at Carowinds has 4 rings of horses. Fred is riding on the inner ring, which has a radius of 7 feet. Juan is riding

nikdorinn [45]

Answer:

Juan travel 31.4 feet farther than Fred in one rotation.

Step-by-step explanation:

In this problem we need to determine the change in linear position of Fred and Juan, whose formula is:

$s=\theta \cdot r$ (Eq. 1)

Where:

$r$ - Radius, measured in feet.

$\theta$ - Angular arch, measured in radians.

$s$ - Change in linear position, measured in feet.

If both makes one rotation in the carousel, we obtain the change in linear position of each player:

Fred ( $r = 7\,ft$ , $\theta = 2\pi$ )

$s= 2\pi\cdot (7\,ft)$

$s = (3.14)\cdot (7\,ft)$

$s = 21.98\,ft$

Juan ( $r = 17\,ft$ , $\theta = 2\pi$ )

$s= 2\pi\cdot (17\,ft)$

$s = (3.14)\cdot (17\,ft)$

$s = 53.38\,ft$

And the difference between both travelled distances is:

$\Delta s = 53.38\,ft-21.98\,ft$

$\Delta s = 31.4\,ft$

Juan travel 31.4 feet farther than Fred in one rotation.

4 0

3 years ago

How to name two points (V' and S' ) that are located in the same place (geometry) ?

pantera1 [17]

A line can be named either using two points on the line (for example, AB ) or simply by a letter, usually lowercase (for example, line m ).

6 0

2 years ago

Four angles of a pentagon measures 123, 64, 171 and 77. Find the measure of the fifth angle.

cricket20 [7]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%5Cint%20%5Cfrac%7Bdx%7D%7Bxln%5E%7Bp%7Dx%20%7D" id="TexFormula1" title=" \int \frac{dx}{xl

Eva8 [605]

Substitute $u=\ln x$ , so that $\mathrm du=\dfrac{\mathrm dx}x$ . The integral is then equivalent to

$\displaystyle\int\frac{\mathrm dx}{x\ln^px}=\int\frac{\mathrm du}{u^p}=\begin{cases}\dfrac{u^{p+1}}{p+1}+C&\text{for }p\neq1\\\\\ln|u|+C&\text{for }p=1\end{cases}$

Then transforming back to $x$ gives

$\displaystyle\int\frac{\mathrm dx}{x\ln^px}=\begin{cases}\dfrac{\ln^{p+1}x}{p+1}+C&\text{for }p\neq1\\\\\ln|\ln x|+C&\text{for }p=1\end{cases}$

4 0

3 years ago

2.) Mila completed a half marathon race over the weekend. The full race was

In-s [12.5K]

Answer:

10.48 miles.

Step-by-step explanation:

That is 4/5 * 13.1

= 10.48 miles.

7 0

2 years ago