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nika2105 [10]
3 years ago
14

3.

Mathematics
2 answers:
Troyanec [42]3 years ago
8 0

Answer:

<h2><u>Solution</u><u> </u><u>:</u><u>-</u></h2>

We have

Volume = 70 m³

Width = 2 m

Height = 7 m

Length = Volume/Width × Height

Length = 70/2 × 7

Length = 70/14

Length = 5 m

\\

Law Incorporation [45]3 years ago
6 0

Answer:

5 m

Step-by-step explanation:

Use the volume formula, V = lwh

Plug in the volume, width, and height, then solve for l (the length)

V = lwh

70 = (l)(2)(7)

70 = 14l

5 = l

So, the length of the rectangular prism is 5 m

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14 + 2(x – 3) = 4(x + 4)
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Read 2 more answers
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
3 years ago
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