Answer:
see below
Step-by-step explanation:
The formula for the sum of an infinite geometric series with first term a1 and common ratio r (where |r| < 1) is ...
sum = a1/(1 -r)
Applying this to the given series, we get ...
a. sum = 5/(1 -3/4) = 5/(1/4) = 20
b. sum = d/(1 -1/t) = d/((t-1)/t) = dt/(t-1)
_____
The derivation of the above formula is in most texts on sequences and series. In general, you write an expression for the difference of the sum (S) and the product r·S. You find all terms of the series cancel except the first and last, and the last goes to zero in the limit, because r^∞ → 0 for |r| < 1. Hence you get ...
S -rS = a1
S = a1/(1 -r)
Volume of a sphere: V=(4/3)πr³
V1=(4/3)π10³
V2=(4/3)π5³
difference: (4/3)π10³-(4/3)π5³=(4/3)π875=3665
the answer is B.<span />
Answer:
0.84
Step-by-step explanation:
Divide 63 by 75 and you get 0.84 (84%).
Answer:
a. 0
Step-by-step explanation:
1. To find the slope given two points, use the following formula:

2.
would be the second y-value (in the second ordered pair), 2, and
would be the first y-value (in the first ordered pair), also 2.
3. Same for the x-values.
is -2 and
is 4
4. Now plug in the values.

5. This equals
which simplifies to 0
Yeah the answer is 16.
And could I get brainiest because I need to get it one more time to get to my next rank