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3 years ago

R these correct? Miles per hour transferred to kilometers per hour, show ur work and explain, thanks

Mathematics

1 answer:

Arlecino [84]3 years ago

4 0

They are correct (if rounded up)

Newberry park: 16.0934km

Thousand Oaks: 20.9215km

Los Angeles: 88.5139km

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Write out the first few terms of the series Summation from n equals 0 to infinity (StartFraction 2 Over 3 Superscript n EndFract

anyanavicka [17]

Answer:

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = 15/8$

Step-by-step explanation:

The sum you are trying to understand is this.

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n}$

Remember that in general when you have a geometric series

$\sum\limits_{n = 0}^{\infty} a*r^n$ you have that

$\sum\limits_{n = 0}^{\infty} a*r^n = \frac{a}{1-r}$ and that equality is true as long as $|r| < 1$ .

Therefore here we have

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{3*5} \big)^n = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n$ and $\big|\frac{-1}{15} \big| = \frac{1}{15} < 1$

Therefore we can use the formula and

$\sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n = \frac{2}{1-(-1/15)} = \frac{2}{1+1/15} = 30/16 = 15/8$

5 0

3 years ago

0.4 x 10 =....<br>1.25 x 10 = <br>97.465 x10 =

chubhunter [2.5K]

Answer:

0.4 × 10 = 4

1.25 × 10 = 12.5

97.465 × 10 = 974.65

3 0

3 years ago

SOSSSS:<br><br> Find all the values of x between 0 and 4 for which 3 cos(2x - 1) = 2

trapecia [35]

Answer:

0.29 π(52.5°)

Step-by-step explanation: here is the explanation

6 0

3 years ago

There are 95 students at an

Morgarella [4.7K]

I believe 14.
95 divided by 7 is 13.57 so Round up to 14.

7 0

3 years ago

Read 2 more answers

Which of the following is the quotient of 983,136 ÷ 231?

sukhopar [10]

Answer:

4.256 (A)

Step-by-step explanation:

5 0

3 years ago