1. Zoe stacked the most brownies. She stacked 27 brownies out of the 50 brownies.
2. 15
3. 43 + 3n ≥ 70, so n ≥ 9
4. D. 58x + 13 + 58y
5. The answer would be ≤4
6. 9.94 + 10.01p ≤ 70, so p ≤ 6
7. C 40 89
8. D. x+(x+5)=77
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Answer:
Y= 2e^(5t)
Step-by-step explanation:
Taking Laplace of the given differential equation:
s^2+3s-10=0
s^2+5s-2s-10=0
s(s+5)-2(s+5) =0
(s-2) (s+5) =0
s=2, s=-5
Hence, the general solution will be:
Y=Ae^(-2t)+ Be^(5t)………………………………(D)
Put t = 0 in equation (D)
Y (0) =A+B
2 =A+B……………………………………… (i)
Now take derivative of (D) with respect to "t", we get:
Y=-2Ae^(-2t)+5Be^(5t) ....................... (E)
Put t = 0 in equation (E) we get:
Y’ (0) = -2A+5B
10 = -2A+5B ……………………………………(ii)
2(i) + (ii) =>
2A+2B=4 .....................(iii)
-2A+5B=10 .................(iv)
Solving (iii) and (iv)
7B=14
B=2
Now put B=2 in (i)
A=2-2
A=0
By putting the values of A and B in equation (D)
Y= 2e^(5t)
Statement A is correct.
7.99m is the unit rate for how much you will pay for each pound of meat.
5.99c is the unit rate for how much you will pay for each pound of cheese.
Answer:
58+40e−t/2458+40e−t/24
step by step explanation:
Normally, the temperature of a corpse is the temperature of the surrounding environment.
This is done by losing or gaining heat to equilibrate to that of the surrounding.
Let's assume that the final temperature of the corpse is after t hrs.
Then the temperature of the surrounding in degree Fahrenheit is equal to 58+40e−t/2458+40e−t/24
