Answer:
11/7 feet
Step-by-step explanation:
Perimeter of a circle = pi
Semicircle would be 1/2 of pi
1/2 × 22/7 × 1
You must divide by one to get the value of 1/2
11/7 is the answer
Answer:
3.99 inches
Step-by-step explanation:
<u><em>The correct question is</em></u>
The function f(x) = 3(1.1)^x gives the length (in inches) of an image after being enlarged by 10% x times.
What is the length of the image after it has been enlarged 3 times? Round your answer to the nearest hundredth
we have
This is a exponential growth function
where
f(x) represent the length (in inches) of an image
x is the number of times the image is enlarged
so
For x=3
substitute in the exponential equation
Answer:
7370
Step-by-step explanation:
Let x represent attendance before drop.
We have been given that an article reports attendance dropped 7% this year, to 6854. We are asked to find the attendance before the drop.
Since attendance dropped by 7%, this means that attendance after drop was 93% of x.
We can represent this information in an equation as:
Therefore, the attendance before drop was 7370.
Answer:
Given the series,
∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1
I think the series is summation from n = 1 to ∞ of -4(-1/2)^(n-1)
So,
∑ − 4 ( − ½ )^(n − 1). From n = 1 to ∞
There are different types of test to show if a series converges or diverges
So, using Ratio test
Lim n → ∞ (a_n+1 / a_n)
Lim n → ∞ (-4(-1/ 2)^(n+1-1) / -4(-1/2)^(n-1))
Lim n → ∞ ((-4(-1/2)^(n) / -4(-1/2)^(n-1))
Lim n → ∞ (-1/2)ⁿ / (-1/2)^(n-1)
Lim n→ ∞ (-1/2)^(n-n+1)
Lim n→ ∞ (-1/2)^1 = -1/2
Since the limit is less than 0, then, the series converge...
Sum to infinity
Using geometric progression formula
S∞ = a / 1 - r
Where
a is first term
r is common ratio
So, first term is
a_1 = -4(-½)^1-1 = -4(-½)^0 = -4 × 1
a_1 = -4
Common ratio r = a_2 / a_1
a_2 = 4(-½)^2-1 = -4(-½)^1 = -4 × -½ = 2
a_2 = 2
Then,
r = a_2 / a_1 = 2 / -4 = -½
S∞ = -4 / 1--½
S∞ = -4 / 1 + ½
S∞ = -4 / 3/2 = -4 × 2 / 3
S∞ = -8 / 3 = -2⅔
The sum to infinity is -2.67 or -2⅔
<h2>
Step-by-step explanation: PHEW THAT TOOK A WHILE LOL IM A FAST TYPER</h2>
First, find 15% of 80 and add it to 80
15% = 0.15
0.15 × 80 = 12
80 + 12 = 92
Remember that Tom will add 5 more for the judges
92 + 5 = 97
Your answer is D. 97 chairs
Hope this helps :)
