Answer:
The answer is A. -7
Step-by-step explanation:
76 + 41 = 117
117 + 70 = 187
187- 7 = 180
Hope this helps
Answer:
Step-by-step explanation:
I think the quotent is 5, but I recommend waiting for sumone else to answer. Because 31.5 divided by 1.4 equals 22.5 but I'm not sure.
There are 4 quarters in a dollar. If you divide 72 by 4 and you do not get a remainder then he can.
This DE has characteristic equation
![4r^2 - 12r + 9r = (2r - 3)^2 = 0](https://tex.z-dn.net/?f=4r%5E2%20-%2012r%20%2B%209r%20%3D%20%282r%20-%203%29%5E2%20%3D%200)
with a repeated root at r = 3/2. Then the characteristic solution is
![y_c = C_1 e^{\frac32 x} + C_2 x e^{\frac32 x}](https://tex.z-dn.net/?f=y_c%20%3D%20C_1%20e%5E%7B%5Cfrac32%20x%7D%20%2B%20C_2%20x%20e%5E%7B%5Cfrac32%20x%7D)
which has derivative
![{y_c}' = \dfrac{3C_1}2 e^{\frac32 x} + \dfrac{3C_2}2 x e^{\frac32x} + C_2 e^{\frac32 x}](https://tex.z-dn.net/?f=%7By_c%7D%27%20%3D%20%5Cdfrac%7B3C_1%7D2%20e%5E%7B%5Cfrac32%20x%7D%20%2B%20%5Cdfrac%7B3C_2%7D2%20x%20e%5E%7B%5Cfrac32x%7D%20%2B%20C_2%20e%5E%7B%5Cfrac32%20x%7D)
Use the given initial conditions to solve for the constants:
![y(0) = 3 \implies 3 = C_1](https://tex.z-dn.net/?f=y%280%29%20%3D%203%20%5Cimplies%203%20%3D%20C_1)
![y'(0) = \dfrac52 \implies \dfrac52 = \dfrac{3C_1}2 + C_2 \implies C_2 = -2](https://tex.z-dn.net/?f=y%27%280%29%20%3D%20%5Cdfrac52%20%5Cimplies%20%5Cdfrac52%20%3D%20%5Cdfrac%7B3C_1%7D2%20%2B%20C_2%20%5Cimplies%20C_2%20%3D%20-2)
and so the particular solution to the IVP is
![\boxed{y(x) = 3 e^{\frac32 x} - 2 x e^{\frac32 x}}](https://tex.z-dn.net/?f=%5Cboxed%7By%28x%29%20%3D%203%20e%5E%7B%5Cfrac32%20x%7D%20-%202%20x%20e%5E%7B%5Cfrac32%20x%7D%7D)
Answer:
There are less than 5 1/2 cups of sugar.
Step-by-step explanation:
E D G E N U I T Y
Have a good day! (◕ヮ◕ヽ)