Answer:
18
Step-by-step explanation:
<em>First, use the equation for geometric mean; an=a1r^n-1</em>
*where is an is the number at an n term, r is the ratio and a1 is the first number of the sequence.*
12 = a1 r^5
27 = a1r^7
From the equations above,
a1 = 128/81
r = 3/2
Therefore, the 7th term is:
an = (128/81) (3/2)^6
an = 18
hope this helps :)
Answer:
Option A. Ahmed wins the chess game
Step-by-step explanation:
we know that
The probability of Ahmed winning the chess games is 45%
45%=045/100=0.45
The probability of Ahmen winning the checkers games is 0.36
Compare the probability
0.45> 0.36
so
Is more likely that Ahmed wins the chess game
C 90 kg A and B are to small
Volume of a cone is equal to pi * r^2 * h/3.
In this case:
pi * 6^2 * 9/3
pi * 36 * 3
108pi
Answer: 339.3
The profit function is R(x) = -0.5 (x - 50²) + 1150
- The domain of P(x) is: 0 ≤ x ≤ 150
- Profit when producing 50 items = 1150
- Profit when producing 60 items = 1100
<h3>
What is the profit function about?</h3>
Note that:
1. Profit = Revenue - cost
P (x) = 0.5 ( x - 90²) + 4050 - 40x - 100
= 0.5 ( x² - 180 + 8100 + 4050 - 40x - 100
=0.5 x² - 50x - 100
=0.5( x² - 100x) - 100
= -0.5 (x - 50²) + 1150
2. Since the minimum unit is 50.
Then x ≤ 150
X = describe the item so it need to be a negative number
Hence the domain of P(x) is: 0 ≤ x ≤ 150
3. Assume x = 50 , 60
R(50) = 1150 , R (60 ) = -0.5 (60-50)² + 1150 = 1100
4. R (x) = -0.5 (x-50)² + 1150 then 50 more unit is removed hence, Profit when producing 60 items = 1100
Therefore, The profit function is R(x) = -0.5 (x - 50²) + 1150
- The domain of P(x) is: 0 ≤ x ≤ 150
- Profit when producing 50 items = 1150
- Profit when producing 60 items = 1100
Learn more about profit function from
brainly.com/question/16866047
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