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WINSTONCH [101]

3 years ago

7

Mike paid $7.51 total for grapes, after a 3 dollar coupon, $8.93 for cherries, and $7.69 for peaches. In total, how much money d

id Mike spend?

2 answers:

Citrus2011 [14]3 years ago

6 0

Answer:

24.13

Step-by-step explanation:

Viefleur [7K]3 years ago

3 0

Answer: He paid a total of $ 24.13

Step-by-step explanation:

7.51+8.93+7.69= 24.13

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If the acceleration of an object is given by dv/dt = −2v, Find the position function s(t) if v(0) = 7 and s(0) = 0.

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Answer:

Step-by-step explanation:

Given that acceleration of an object is

$\frac{dv}{dt} =-2v\\\frac{dv}{v} =-2dt\\ln v = -2t+C\\$

is the solution to the differential equation

Since v(0) =7

we get ln 7 = C

Hence $lnv = -2t+ln 7\\v=7e^{-2t}$

since velocity is rate of change of distance s we have

$v=\frac{ds}{dt} =7e^{-2t}\\s= [tex]s(t) =\frac{-7}{2} (e^{-2t})+C)[$

substitute t=0 and s=0

$C=7/2$

So solution for distance is

$s(t) =\frac{-7}{2} (e^{-2t}-1)$

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Marat540 [252]

Answer:

(2,4)

Step-by-step explanation:

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2 years ago

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2 years ago

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On March 24, 1989, the Exxon Valdez oil tanker ran aground and leaked millions of gallons of oil into Prince William Sound. The

Tema [17]

Answer:

592 hours

Step-by-step explanation:

Given

$Area = 11000m^2$

$Radius = 0.10m/h$

Required

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$Area = \pi r^2$

Let t represent the time take to cover 11000m²;

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$11000 = \pi * (0.10t)^2$

Substitute 3.14 for π

$11000 = 3.14 * (0.10t)^2$

Divide both sides by 3.14

$\frac{11000}{3.14} = \frac{3.14 * (0.10t)^2}{3.14}$

$\frac{11000}{3.14} =(0.10t)^2$

$3503.18471338 = (0.10t)^2$

Take square root of both sides

$\sqrt{3503.18471338} = \sqrt{(0.10t)^2}$

$\sqrt{3503.18471338} = 0.10t$

$59.1877074516 = 0.10t$

Divide both sides by 0.10

$\frac{59.1877074516}{0.10} = \frac{0.10t}{0.10}$

$\frac{59.1877074516}{0.10} = t$

$591.877074516 = t$

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Answer:

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