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3 years ago

Suppose a - b = 0.

1 answer:

7 0

We have that

a-b=0-----------------> a=b
b=a
therefore
a.b--------> substituting---------> a*(a)=a² or b*b=b²

the answer is the option A) a²

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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

2 years ago

What is the answer to his question

horsena [70]

Answer:

A. 720 per hour

Step-by-step explanation:

1200+ 720 + 720 + 360 =3000

hr 1↑+ hr 2↑ + ↑30 min

8 0

3 years ago

Find the circumference of a pizza with a diameter of 18 inches

tatyana61 [14]

The circumference of a circle is PiD, or 2(3.14)(r).

The radius is half the diamater.
Let's solve with the diameter.

18 • 3.14 = 56.52 inches.

I hope this helps!

8 0

2 years ago

Kevin drove 871 miles in 13 hours. At the same rate, how many miles would he drive in 11 hours?

poizon [28]

Answer:

737 miles

Step-by-step explanation:

So we know that he drove 871 miles in 13 hours so first you want to do 871 divided by 13 and get 67 which means he drove 67 miles in one hour. Finally you just have to multiply 67 by 11 and get 737.

3 0

3 years ago

Read 2 more answers

If addenda are 170 and 130 what is the sum

Juliette [100K]

The answer is 200 of 170

4 0

3 years ago