Answer:
1/9^5
Step-by-step explanation:
Yeah you're correct, 9^2/9^7 = 1/9^(7-2).
Step 
we know that
The density's formula is equal to

The volume of a cone is equal to

where
r is the radius of the base of the cone
h is the height of the cone
in this problem

substitute the values in the formula above


Step 
Find the density
we have


substitute in the formula



therefore
<u>the answer is</u>
the density is 
The inequality used to represent the situation is 5b + 100 ≥ 150
<h3>
Inequality</h3>
Inequality is an expression that shows the non equal comparison of two or more numbers and expressions.
Let b represent the number of balcony seating areas that each seat 5 people.
The inequality for the situation is given by:
5b + 4(25) ≥ 150
5b + 100 ≥ 150
The inequality used to represent the situation is 5b + 100 ≥ 150
Find out more on Inequality at: brainly.com/question/24372553
Answer:
The T-shirts cost $10 and the jeans cost $20.
Step-by-step explanation:
I guess you want to find the cost of the T-shirts and jeans at his first buy,
Let the cost be $t and $j for T-shirts and jeans respectively.
Then we have the system:
2t + j = 40...................(1)
and a month later:
0.5*2t + 0.5*5j = 60
t + 2.5j = 60................(2)
Multiply by - 2:
-2t - 5j = -120.............(3)
Adding equations (1) and (3):
-4j = -80
j = -80 / -4
j = $20.
Substituting j = 20 into equation (2):
t + 2.5(20) = 60
t = 60 - 50
t = $10.
t = $55
The equation describing the rate of change of the height of tree is given by
h'(t) = 0.2t²/3 + vt
We are given an initial condition that
h = 0, t = 0
and we are asked to solve for the value of h when t = 27
The given equation can be integrated using the given limits to solve for h at t =27.