Answer:
m = - 3/4
Step-by-step explanation:
m = (7-4)/(0-4)
= 3/- 4
= - 3/4
Question:
A solar lease customer built up an excess of 6,500 kilowatts hour (kwh) during the summer using his solar panels. when he turned his electric heat on, the excess be used up at 50 kilowatts hours per day
.
(a) If E represents the excess left and d represent the number of days. Write an equation for E in terms of d
(b) How much of excess will be left after one month (1 month = 30 days)
Answer:
a. 
b. 
Step-by-step explanation:
Given
Excess = 6500kwh
Rate = 50kwh/day
Solving (a): E in terms of d
The Excess left (E) in d days is calculated using:

The expression uses minus because there's a reduction in the excess kwh on a daily basis.
Substitute values for Excess, Rate and days


Solving (b); The value of E when d = 30.
Substitute 30 for d in 



<em>Hence, there are 5000kwh left after 30 days</em>
Answer:
2.5 second
Step-by-step explanation:
The equation is missing in the question.
The equation is,
, where 'h' is the height and 't' is time measured in second.
Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :

Now the differentiating the equation with respect to time t, we get


For maximum height, 
So, 



Therefore, the ball takes 2.5 seconds time to reach the maximum height.
Answer:
The price of one gallon of gasoline is $3.15
Step-by-step explanation:
If the lady buys 2.4 gallons of gasoline for a total of $7.56, then as the problem suggests, one can find the unknown price of gasoline per gallon (p) by solving the equation for the unknown "p":
2.4 p = 7.56
then divide both sides by 2.4 to isolate the unknown "" on one side of the equal sign:
p = 7.56/2.4
p = $3.15
so this is the price per gallon of gasoline.
Answer:
1/45
Step-by-step explanation:
I assume there are 10 marbles total, 2 of which are yellow.
The probability the first marble is yellow is 2/10.
There's now one less marble, so the probability that the second marble is yellow is 1/9.
The total probability is (2/10) (1/9) = 1/45.