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3 years ago

FIND THE MISSING DIMENSION! NEED ASAP! TINY SQUARE IS A =3025 in ²

Mathematics

1 answer:

Nata [24]3 years ago

4 0

Answer:

Step-by-step explanation:

Rule: never completely trust a diagram that comes with a geometry question. This is a case in point. The "tiny" square is actually much larger than the "larger" square.

If you are trying to find the length of the sides of the squares, the formula is

Area = side^2

3025 = side^2

Take the square root of both sides.

sqrt(3025) = sqrt(side^2)

To find the square root of 3025, do the following

Press √

type in 3025

type in =

You should get 55.

======================

The second square is done the same way

√

90.75

And you should get 9.526

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GuDViN [60]

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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

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