Answer:
C = 6.75n + 50
Step-by-step explanation:
The equation for the cost of renting the party room can be written in the form;
C= mn+k ......i
Where C = cost
n = number of people
Substituting the 2 cases into the equation we have,
Case 1
117.5 = 10m + k ......1
Case 2
151.25 = 15m + k .....2
Subtracting eqn 1 from 2 we have
151.25 - 117.50 = 15m - 10m
5m = 33.75
m = 33.75/5 = 6.75
Substituting m = 6.75 into eqn 1, we have
117.50 = 10(6.75) + k
k = 117.5 - 67.50
k = 50
Therefore, rewriting the eqn i, we have
C = 6.75n + 50
Answer:
Choice A. P = I² · R where
- P is the power in the DC circuit,
- I is the current through the circuit, and
- R is the total resistance of the circuit.
Step-by-step explanation:
Electrical power is the rate at which the electrical force does work. So what is electrical work? That's the work 
that the electrical force do when it moves charges 
across a potential difference 
:
W = 
.
The power is the rate at which the electrical force do the work:
.
On the other hand, current 
is the charge through a cross-section of the circuit in unit time. By the definition of current:
.
.
Consider Ohm's Law:
.
Therefore
.
Answer:
a) E(y) = 0.8
b) The average subcharge is $165
Step-by-step explanation:
We are given the following distribution in the question:
y: 0 1 2 3
P(y): 0.50 0.25 0.20 0.05
a) E(y)
b) Expected value of subcharge
Subcharge =
Expected value of subcharge =
Thus, the average subcharge is $165
Let x be the distance (in feet) along the road that the car has traveled and h be the distance (in feet) between the car
and the observer.
(a) Before the car passes the observer, we have dh/dt < 0; after it passes, we have dh/dt > 0. So at the instant it passes the observer we have
dh/dt = 0, given that dh/dt varies continuously since the car travels at a constant velocity.
<span>a.p({a,b,{a,b}}) is the answer
</span>
