3 years ago

The drama club spent $608 on food for a party for its 38 members. Let a be the amount spent on food per person.

Mathematics

1 answer:

serg [7]3 years ago

5 0

Part A is C
part B is 16

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Section 5.2 Problem 17:

Elina [12.6K]

This DE has characteristic equation

$4r^2 - 12r + 9r = (2r - 3)^2 = 0$

with a repeated root at r = 3/2. Then the characteristic solution is

$y_c = C_1 e^{\frac32 x} + C_2 x e^{\frac32 x}$

which has derivative

${y_c}' = \dfrac{3C_1}2 e^{\frac32 x} + \dfrac{3C_2}2 x e^{\frac32x} + C_2 e^{\frac32 x}$

Use the given initial conditions to solve for the constants:

$y(0) = 3 \implies 3 = C_1$

$y'(0) = \dfrac52 \implies \dfrac52 = \dfrac{3C_1}2 + C_2 \implies C_2 = -2$

and so the particular solution to the IVP is

$\boxed{y(x) = 3 e^{\frac32 x} - 2 x e^{\frac32 x}}$

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2 years ago

Which expression is equivalent to 10 of the power of 5 ? 10·5 510 5·5·5·5·5·5·5·5·5·5 10·10·10·10·10

stira [4]

Answer is
10.10.10.10.10

8 0

3 years ago

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What is the answer to ax+z =aw-y if you are solving for a

inysia [295]

Ax + z = aw - y....subtract aw from both sides
ax - aw + z = -y....subtract z from both sides
ax - aw = -y - z....factor out a on the left side
a(x - w) = -y - z...divide both sides by (x-w)
a = (-y - z) / (x - w)

7 0

3 years ago

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Picture of math assignment

n200080 [17]

Answer:

${5}^{ - 7}$

Step-by-step explanation:

You have to use the property of quotient of powers, you subtract the power of the fraction denominator from the numerator

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3 years ago

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Eli lives 0.7 mile from his school. He lives 0.25 mile from his friends house. Does Eli live closer to his school or his friends

Hitman42 [59]

Eli lives closer to his friends house than his school

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3 years ago