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satela [25.4K]
2 years ago
15

Roger has 120 peanuts. He saves 48 for himself. He divides the rest equally among 8 friends. He wants to find how many peanuts e

ach friend gets.
Which equations should he use? Select all that apply.

A.
72
÷
8
=
m
B.
120
+
48
=
p
C.
168
÷
8
=
n
D.
120
÷
8
=
l
E.
120
−
48
=
p
Mathematics
1 answer:
Akimi4 [234]2 years ago
3 0

Answer:

A and E  MARK BRAINLIEST!

Step-by-step explanation:

Well lets look into this question carefully ,

You should first subtract 120- 48= 72

Then 72/ 8 = 9 so we can check all that apply equations we used

A and E

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A chestnut falls out of a tree 45 feet above the ground. Use the vertical motion model, H=-16t^2+vt+s s to find how long it take
valentinak56 [21]

Answer:

1.7 seconds

Step-by-step explanation:

we have

H=-16t^2+vt+s

where

v is the initial velocity (in feet per second)

s represents the initial height (in feet)

In this problem we have

v=0 ---> because the object is dropped

s=45\ ft

substitute

H=-16t^2+45

Remember that

When the chestnut hit the ground the value of H is equal to zero

so

For H=0

-16t^2+45=0

solve for t

16t^2=45\\t^2=2.8125\\t=\pm1.7\ sec

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7 0
3 years ago
Find a particular solution to the nonhomogeneous differential equation y??+4y?+5y=?10x+e^(?x).
Firdavs [7]

Answer:

A) Particular solution:

2x+\frac{1}{2}e^{-x}-\frac{8}{5}

B) Homogeneous solution:

y_{h}=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))

C) The most general solution is

y=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))+2x+\frac{1}{2}e^{-x}-\frac{8}{5}

Step-by-step explanation:

Given non homogeneous ODE is

y''+4y'+5y=10x+e^{-x}---(1)

To find homogeneous solution:

D^{2}+4D+5=0\\D^{2}+4D+4-4+5=0\\\\(D+2)^{2}=-1\\D+2=\pm iD=-2 \pm i\\y_{h}=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))---(2)

To find particular solution:

y_{p}=Ax+B+Ce^{-x}\\\\y'_{p}=A-Ce^{-x}\\y''_{p}=Ce^{-x}\\

Substituting y_{p},y'_{p},y''_{p} in (1)

y''_{p}+4y'_{p}+5y_{p}=10x+e^{-x}\\Ce^{-x}+4(A-Ce^{-x})+5(Ax+B+Ce^{-x})=10x+e^{-x}\\

Equating the coefficients

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The general solution is

y=y_{h}+y_{p}

from (2) ad (3)

y=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))+2x+\frac{1}{2}e^{-x}-\frac{8}{5}

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Answer:

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Step-by-step explanation:

3 0
2 years ago
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