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kherson [118]
3 years ago
7

at middleton middle school, marianne musf score and average of at least 80 points of 4 tests before she can apply for the schola

rship. if she scored 79 81 and 77 for the first three tests, what must she score on her last test?
Mathematics
2 answers:
Colt1911 [192]3 years ago
6 0
The answer is 83, using the equation of 320-79-81-77=x and X is equal to 83
Illusion [34]3 years ago
5 0

the answer is 83, using the equation of 320-79-81-77=x and X is equal to 83

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Answer:

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Step-by-step explanation:

The differential equation for the motion is given by mv' = mg - γv. We re-write as mv' + γv = mg ⇒ v' + γv/m = g. ⇒ v' + kv = g. where k = γ/m.Since this is a linear first order differential equation, We find the integrating factor μ(t)=e^{\int\limits^  {}k \, dt } =e^{kt}. We now multiply both sides of the equation by the integrating factor.

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From our initial conditions, v(0) = 9.55 m/s, t = 0 , g = 9.8 m/s², γ = 9 kg/s , m = 15 kg. k = y/m. Substituting these values, we have

9.55 = 9.8 × 15/9 + ce^{-16.33 * 0} = 16.33 + c

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b. Velocity of object at time t = 0.5

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