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2 years ago

Which is an equation in point-slope form for the given point and slope?

Mathematics

1 answer:

Setler [38]2 years ago

3 0

Using point slope formula;

y=6x-38

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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

For the situation, draw a diagram for the relationship of the quantities to help you answer the question. Then write a multiplic

Aloiza [94]

Answer: 6 batches

Step-by-step explanation:

From the question, we are informed that one batch of cookies requires 2⁄3 cup of flour.

Therefore, the number of batches that can be made with 4 cups of flour will be:

= 4 / 2/3

= 4 × 3/2

= 12/2

= 6 batches

7 0

3 years ago

urgent help :(!! The sales tax on a $25,000 car is $1375. What is the sales tax rate? PLEASE SHOW HOW TO SOLVE IT AND HOW YOU GO

balu736 [363]

Tax rate is 5.5% because 1,375/25,000 is equal to 0.055 which is 5.5 in percentage form. To prove it you can multiply 25,000 by 0.055 and get 1,375

4 0

3 years ago

In the accompanying figure, chords AB and CD of circle O intersect at E. If m AD=100 and m CB=70, what is m AED?

vfiekz [6]

Answer:

Step-by-step explanation:

Find the average of 100 and 70 which is 100 + 70 = 170/2 = 85

7 0

2 years ago

George arranges the icons on his computer desktop into 4 rows of 2 icons. How many icons are on George’s desktop? Make an array

zhannawk [14.2K]

Answer:

Step-by-step explanation:

Every four rows there are two icons.

I hope this helped

3 0

2 years ago