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hichkok12 [17]
2 years ago
5

Adele spent 8 minutes on the phone while routing 2 phone calls. If she routes 4 phone calls, how much time will Adele have spent

on the phone in total? Solve using unit rates.
Mathematics
1 answer:
sleet_krkn [62]2 years ago
6 0

Answer:

16 minutes

Step-by-step explanation:

Given

Represent minutes with M and Phone calls with P.

When M = 8; P = 2

Required

Determine M when P = 4

First, we need to determine the constant of proportion using:

M = k * P

Where k represents the constant:

8 = k * 2

Divide through by 2

4 = k

k = 4

Solving for M, when P = 4

Substitute 4 for P and 4 for k in M = k * P

M = 4 * 4

M = 16

Hence:

She spent 16 minutes in total

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One less limb than yesterday! so let’s assume like a regular human the mutant has 4 limbs. he grows another 5 and now he’s got 9 limbs. he loses 12 so 9-12 equals -3, plus 2 is -1.
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Solve the following ODE's: c) y* - 9y' + 18y = t^2
Nastasia [14]

Answer:

y = C_1e^{3t}+C_2e^{6t} + \dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})

Step-by-step explanation:

y''- 9 y' + 18 y = t²

solution of ordinary differential equation

using characteristics equation

m² - 9 m + 18 = 0

m² - 3 m - 6 m+ 18 = 0

(m-3)(m-6) = 0

m = 3,6

C.F. = C_1e^{3t}+C_2e^{6t}

now calculating P.I.

P.I. = \frac{t^2}{D^2 - 9D +18}

P.I. = \dfrac{t^2}{(D-3)(D-6)}\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(1-\frac{D}{6})^{-1}(t^2)\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(1+\frac{D}{6}+\frac{D^2}{36}+....)(t^2)\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(t^2+\frac{2t}{6} + \frac{2}{36})\\P.I. =\dfrac{1}{18}(1+\frac{D}{3}+\frac{D^2}{9}+....)(t^2+\frac{2t}{6} + \frac{2}{36})\\P.I. =\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})

hence the complete solution

y = C.F. + P.I.

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hree TAs are grading a final exam. There are a total of 60 exams to grade. (a) How many ways are there to distribute the exams a
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Answer:

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B) The number of ways to dustribute the exams among the TA's is:

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