The cost of renting a truck for one day is $19.95 and has a rate of $0.50 per mile.
We can write a function rule to model the cost of renting a truck for one day.
Where x is the number of miles and y is the corresponding cost of renting.
Now we can find the cost of renting for traveling 73 miles.
Substitute x = 73 into the function.
Therefore, the cost of renting the truck for one day and 73 miles will be $56.45
Answer: 0.87400mg of caffeine.
Step-by-step explanation:
You have
N(t)=N0(e^−rt)(1)
as a general Exponential decay equation where N0 is the amount at t=0, N(t) is the amount remaining at time t and r is the exponential decay constant. You're specifically given that after 10 hours, the decay factor is 0.2601, i.e.,
N(10)/N(0)=N0(e^−10r)/N0(e^0)= e^−10r=0.2601 . .(2)
Taking the last 2 parts of (2) to the power of 0.1t gives
e^−rt=0.2601^.1t . .(3)
This means that
N(t)=N0(e^−rt)=N0(0.2601^.1t). .(4)
Also,
N(2.56)N(1.56)=N0(0.2601.1(2.56))N0(0.2601.1(1.56))=0.2601.1(2.56−1.56)=0.2601^.1
= 0.87400mg of caffeine.
Answer:
−8x^4 + 5x^3 + x^2
Step-by-step explanation:
3x^3 + x^2 + 2 (x^3 − 4x^4)
Apply the distributive property.
3x^3 + x^2 + 2x^3 + 2 (−4x^4)
Multiply −4 by 2.
3x^3 + x^2 + 2x^3 − 8x^4
Simplify by adding terms.
Add 3x^3 and 2x^3.
5x^3 + x^2 − 8x^4
Simplify the expression.
Move x2.
5x^3 − 8x^4 + x^2
Reorder 5x^3 and −8x^4.
−8x^4 + 5x^3 + x^2
Answer: 1 cup of sugar
Step-by-step explanation:
A recipe for banana bread requires 3 cups of bananas for every 1 1/2 cups of sugar used.
Converting 1 1/2 cups of sugar to improper fraction becomes 3/2 cups of sugar.
If 3 cups of bananas is required for 3/2 cups of sugar,
x cups of bananas will require 1 cup of sugar
3x / 2 = 3
3x = 6
x = 6/3 = 2
Therefore,
2 cups of bananas will require 1 cup of sugar.
We are looking for the number of cups of sugar that would require 2 cups of bananas.
We already got the answer.
1 cup of sugar would be used if 2 cups of bananas are used.
2 bc u just do change in y over the change in x. Start from a point and go down then go to the left.
