We have been given an expression 
. We are asked to find the value of A when rewrite our given expression as 
.
To solve our given problem, we will use exponent properties.
Using exponent property 
, we can rewrite our given expression as:
Now, we will compare our expression with .
Upon comparing 
with , we can see that 
.
Therefore, the value of A is 
.
We can further simplify as:
The correct answer is B
To find the average we add all the given numbers together then divide by how many numbers there are.
A is 7
B is 8
C is 9
All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is
Multiply both sides by <em>r</em> :
Subtract the latter sum from the first, which eliminates all but the first and last terms:
Solve for 
:
Then as gets arbitrarily large, the term 
will converge to 0, leaving us with
So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18
Answer:
the probability of the dice is 1/6 and the probability of the spinner is 1/4.
Step-by-step explanation:
the probability of the dice=E/S=E=1 and S=6 because it is one dice. so P=1/6.
the probability of the spinner=E/S=E=1 and S=4 because the spinner is divided into 4. so P=1/4
Hi there! f(18) makes the value of x 18 and x is the number of movies watched in 1 month. Therefore, A and C are eliminated because we’re talking 18 movies, not 18 months. B is also out, because Kelsey would pay more than $27 a month for the service, especially with the service fee. 18 * 1.50 is 27 and 27 + 12.50 is 39.50. Kelsey spends $39.50 a month watching 18 movies per month. The answer is D.
