Answer:
a) 4106.25 gallons
b) $46
Step-by-step explanation:
We are given the following in the question:
Leakage rate of faucet = 1 oz per minute
Cost of water = $11.20 per 1000 gallons
1 gallon = 128 oz
a) water are wasted in a year
1 hour = 60 minutes
1 day = 24 hours
1 year = 365 days
Amount of water wasted =
Thus, 4106.25 gallons of water is wasted every year.
b) additional money spent
Thus, approximately $46 is the additional money spent on water bill.
72 + 74 is 146.
The angle sum of a triangle is 180.
180 - 146 is 34.
Answer:
Initial 18 degrees Celsius
After 20 minutes, 5 degrees Celsius
Step-by-step explanation:
It’s initial temperature can be calculated as at the time when x = 0
When x = 0, the temperature is -6+24 = 18 degrees Celsius
This is because the exponent part equals 1 since anything raised in to the power of zero is one.
After twenty minutes,
T(x) = -6 +24e^-0.038(20)
T(x) = -6 + 11.224 = 5.224
And that is approximately 5 degrees Celsius to the nearest degree
F(x)=2x^2-x-6
Factoring:
f(x)=2(2x^2-x-6)/2=(2^2x^2-2x-12)/2=[(2x)^2-(2x)-12]/2
f(x)=(2x-4)(2x+3)/2=(2x/2-4/2)(2x+3)→f(x)=(x-2)(2x+3)
g(x)=x^2-4
Factoring
g(x)=[sqrt(x^2)-sqrt(4)][sqrt(x^2)+sqrt(4)]
g(x)=(x-2)(x+2)
f(x)/g(x)=[(x-2)(2x+3)] / [(x-2)(x+2)
Simplifying:
f(x)/g(x)=(2x+3)/(x+2)
Answer: Third Option (2x+3)/(x+2)
