Answer:
45
Step-by-step explanation:
Use the geometric sum formula for in infinite sum. 20 terms of this basic formula is close enough The 20th term is 8.6 * 10^-10 which means this goes out to a number with 9 zeros after the decimal and before the 8.
Put another way, the tenth number of this series is the only one affected.
When you use a spreadsheet, it seems to know that the answer is 3/2 as the solution to the sum.
Solution.
Sum = a / (1 - r)
a = 1
r = 1/3
Sum = 1 / (1 - 1/3)
Sum = 1 // 2/3
sum = 3/2
Now you can worry about the 30.
30 * sum(1/3)^n = 30* 3/2 = 45
If there is something you want more information on, leave a note.
She did not divide 28 by7
Answer:
30<x+8 and 22<x
Step-by-step explanation:
subtract 8 from 30 to get 22
The expression given is ambiguous according to the standard rules of math (PEMDAS) due to the lack of appropriate parentheses and probably the exponentiation symbol ^.
From the context, I assume it to mean
(3^(1/3)) / (3^(1/3)) = 1
Since 3^(1/3) is the cube-root of 3, and is thus irrational.
However, the quotient is exactly 1, which is a rational number.
The example is therefore a counter-example for the statement that "set of irrational numbers is closed under division", or stated differently,
"<span>the set of irrational numbers is not closed under division"</span>
Answer:
answer b
Step-by-step explanation:
Answer b is definitely the correct one.
The Empirical Rule states that 68% of normally distributed data lies within 1 standard deviation of the mean; 95% within 2 standard deviations, and 99.9% within 3.