Answer: m=-4
Step-by-step explanation: Plug -4 in for m
Answer:
30 gallons of 6% milk, and 45 gallons of 1% milk.
x=quarts of 6% butterfat
First, write an equation.
0.06x+0.01(75-x)=0.03*75
Multiply both sides by 100.
0.06x*100+0.01*100(75-x)=100*0.03*75
Simplify
6x+75-x=3*75
6x+75-x=225
Solve
5x=225-75=150
5x=150
x=30
75-30=45
So, we need 30 gallons of 6% milk, and 45 gallons of 1% milk.
Step-by-step explanation:
Answer:
dA/dt = k1(M-A) - k2(A)
Step-by-step explanation:
If M denote the total amount of the subject and A is the amount memorized, the amount that is left to be memorized is (M-A)
Then, we can write the sentence "the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized" as:
Rate Memorized = k1(M-A)
Where k1 is the constant of proportionality for the rate at which material is memorized.
At the same way, we can write the sentence: "the rate at which material is forgotten is proportional to the amount memorized" as:
Rate forgotten = k2(A)
Where k2 is the constant of proportionality for the rate at which material is forgotten.
Finally, the differential equation for the amount A(t) is equal to:
dA/dt = Rate Memorized - Rate Forgotten
dA/dt = k1(M-A) - k2(A)
Answer:
-3
Step-by-step explanation:
(happy to help)
Answer:
9x^2 -2x+8
Step-by-step explanation:
( 9x^2 -5x) - ( -3x -8)
Distribute the minus sign
( 9x^2 -5x) +3x +8
Combine like terms
9x^2 -2x+8
The x^2 should be positive and you have it as negative
