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natali 33 [55]
3 years ago
5

Can someone help me plese

Mathematics
1 answer:
AlexFokin [52]3 years ago
6 0
12.) First find the rate of miles/hour that the Morales family drove: 312 miles/6 hours = 52 miles/hour. To find how far they travel in 8 hours, multiply that rate by 8. 52 x 8 = 416. If they drive for 8 hours, they will travel 416 miles.
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I need help with this problem?
Cerrena [4.2K]

Answer:

Step-by-step explanation:

Volume of cylinder:

\boxed{\text{Volume of cylinder=$\pi r^{2}h$}}

<u>Bottom cylinder:</u>

1 inch = 2.54 cm

 diameter = 14 in

r = 14/2 = 7 in

r = 7 *2.54 = 17.78 cm

h = 4 in = 4*2.54 = 10.16 cm

Volume = 3* 17.78 * 17.78 * 10.16

             = 9635.59 in³

<u>Upper cylinder:</u>

diameter = 12 in

r = 12/2 = 6in

r = 6*2.54 = 15.24 cm

h = 12 in = 12*2.54 = 30.48 cm

Volume = 3 * 15.24 *15.24 * 30.48

             = 21237.63 in³

Volume of the object = 9635.59 + 21237.63                  

                                     = 30873 cm³

3 0
2 years ago
A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri
GuDViN [60]

Answer:

1.\frac{dy}{dt}=ky

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

\frac{dy}{dt}=Number of bacteria per unit time

\frac{dy}{dt}\proportional y

\frac{dy}{dt}=ky

Where k=Proportionality constant

2.\frac{dy}{y}=kdt,y'(0)=100

Integrating on both sides then, we get

lny=kt+C

We have y(0)=200

Substitute the values then , we get

ln 200=k(0)+C

C=ln 200

Substitute the value of C then we get

ln y=kt+ln 200

ln y-ln200=kt

ln\frac{y}{200}=kt

\frac{y}{200}=e^{kt}

y=200e^{kt}

Differentiate w.r.t

y'=200ke^{kt}

Substitute the given condition then, we get

100=200ke^{0}=200 \;because \;e^0=1

k=\frac{100}{200}=\frac{1}{2}

y=200e^{\frac{t}{2}}

Substitute t=2

Then, we get y=200e^{\frac{2}{2}}=200e

y=200(2.718)=543.6=543.6

e=2.718

Hence, the number of bacteria after 2 hours=543.6

4 0
4 years ago
Scott started a test at 3:45 PM and finished it at 4:32 Pm.
schepotkina [342]

Answer:

47min.

Step-by-step explanation:

7 0
3 years ago
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173 out of 400 pages what is the percent he read
Lubov Fominskaja [6]
173/400 pages of the percentage
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3 years ago
Need the answer quick!
nika2105 [10]
Hey! Try plugging in the given coordinates and equations into a scientific calculator
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