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)
Answer:
This is a binomial.
Step-by-step explanation:
Bi means two. Therefore, since this polynomial only has two integers it is a binomial.
Answer:
1566
Step-by-step explanation:
20*50=1000
20*4=80
<h3>1000+80=1080</h3>
9*50=450
9*4=36
450+81=486
<h2>1080+486=1566</h2>
Answer:
<h2><em>
SURFACE AREA= 110.59</em></h2>
Step-by-step explanation:
<em>THE FORMULA TO FINDING THE VOLUME OF A CUBE IS V=A³</em>
<em>SIMPLY PLUGIN 4.8 FOR "A" EQUATION SHOULD LOOK LIKE V=4.8³ AND YOU WILL GET THE SAME ANSWER I DID</em>
Answer:
35.6047 inches
Step-by-step explanation:
The wiper blade moves in a circular way, where the radius is 30 inches.
To find how far the bug travelled, we just need to use a rule of three, where the length of the circunference relates to a angle of 360 degrees:
360 degrees -> 2 * pi * radius
68 degrees -> distance
distance * 360 = 2 * pi * radius * 68
distance = 2 * pi * 30 * 68 / 360 = 35.6047 inches