Volume of cylinder = Pi x r^2 x h
Volume = 225pi
r = 3
Substitute values into equations
225pi = Pi x (3)^2 x h
225pi = 9pi x h
Hence h = 225pi/9pi = 25
So h is 25 cm.
At 8 hours of service, the two limousine rental companies charge the same amount.
Step-by-step explanation:
Given,
Initial fee of Executive Limousine rental = $200
Per hour charges of service = $40
Let,
x be the number of hours.
E(x) = 40x+200
Initial fee of Jet Limousine rental = $120
Per hour charges of service = $50
J(x) = 50x + 120
For the charges to be same;
E(x) = J(x)
Dividing both sides by 10
At 8 hours of service, the two limousine rental companies charge the same amount.
Keywords: function, addition
Learn more about functions at:
#LearnwithBrainly
Answer:
The answer is below
Step-by-step explanation:
a) A cube is a three dimensional solid with 6 square faces.
A cube has 8 vertices
b) A rectangular prism is a three dimensional solid with two parallel rectangular bases.
A rectangular prism has 6 faces.
c) A rectangular prism is a three dimensional solid with two parallel rectangular bases.
A rectangular prism has 12 edges.
d) A square-based pyramid is a pyramid with a square base.
A square-based pyramid has 8 edges
e) A triangular prism is a three dimensional solid with two parallel triangular bases.
A triangular prism has 5 faces.
f) A triangular prism is a three dimensional solid with two parallel triangular bases.
A triangular prism has 6 vertices.
<u>Corrected Question</u>
At the beginning of the season, Jamie pays full price($49.64) for a ticket to see the panthers, her favorite baseball team. Ticket prices decrease $0.41 for every game the panthers lose this season. the panthers currently have 33 wins and 31 losses.
(a)Represent the total change in the cost of a ticket given their losses.
(b) What is the cost of a ticket for the next game they play?
Answer:
(a)$(49.64-0.41x)
(b)$36.93
Step-by-step explanation:
(a)Cost of a Full Ticket =$49.64
Let x be the number of losses
The ticket price reduces by $0.41 for every loss
Therefore:
Ticket Price after x losses =$(49.64-0.41x)
Therefore, total change in the cost of a ticket given their losses=$(49.64-0.41x)
(b)For this season the Panthers has suffered 31 losses.
Number of Losses, x=31
Therefore, cost of a ticket for the next game they play
= $(49.64-0.41*31)
=49.64-12.71
=$36.93
Answer:
- A(0) = 2; A'(t) = 6 - 0.08A(t)
- A(∞) = 75
Step-by-step explanation:
The initial value is said to be 2 pounds, so A(0) = 2.
__
The influx is (1.5 #/gal)×(4 gal/min) = 6.0 #/min.
The outflow is (4 gal)/(50 gal) × A(t) = 0.08A(t).
The rate of change of A(t) is then ...
A'(t) = 6 - 0.08A(t)
__
When the system reaches steady state, A'(t) = 0, so ...
0 = 6 - 0.08A(∞)
A(∞) = 6/0.08 = 75
75 pounds of salt will be in the tank after a long period.
