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Damm [24]
3 years ago
7

A scientist is growing bacteria in a lab for study. One particular type of bacteria grows at a rate of y=2t^2+3t+500. A differen

t bacteria grows at a rate of y=3t^2+t+300. In both of these eqiations y is the number of bacteria after t minutes. When is there an equal number of both types of bacteria.
Mathematics
1 answer:
Leya [2.2K]3 years ago
8 0

ANSWER

Approximately after 15 minutes.

EXPLANATION

The growth rate of the first bacteria is

y = 2 {t}^{2}   + 3t + 500

The growth rate of the first bacteria :

y = 3 {t}^{2}  + t + 300

To find the time that, there will be an equal number of bacteria, we equate the two equation;

3 {t}^{2}  + t + 300 = 2 {t}^{2}   + 3t + 500

3 {t}^{2}  - 2 {t}^{2}   + t  - 3t +  300 - 500 =00

{t}^{2}  - 2t  - 200= 0

We solve for t to get,

t = 15.177

Or

t =  - 13.177

We discard the negative value.

This implies that,

t \approx15

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C=48y+0.99n solve for y
Ne4ueva [31]

Answer:

  y = (C -0.99n)/48

Step-by-step explanation:

Undo what is done to y, in the reverse order. We have y multiplied by 48 then added to 0.99n. So, we must add the opposite of 0.99n and multiply that result by the reciprocal of 48.

  C = 48y + 0.99n . . . . . . given

  C - 0.99n = 48y . . . . . . add -0.99n

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4 0
3 years ago
If two cylinders have the same radius, but one has a height two times larger
sweet [91]

The volume of the large cylinder will be twice the volume of the small cylinder.

<u>Step-by-step explanation:</u>

Let the radius of the cylinder be 'r'

Let the height of the cylinder be'h'

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Volume of the large cylinder= π r² (2h)

Volume of large cylinder/volume of small cylinder= 2/1

The large cylinder volume is twice the volume of the small cylinder.

5 0
3 years ago
Adele has 3 64-ounce cartons of orange juice and 3 48-ounce cans of apple juice. How much juice does she have altogether?
ale4655 [162]
I think if u add 364+348 you will get 712
4 0
3 years ago
Read 2 more answers
Find the exact area of the circle with the given radius. r = 4.5 m
Alexus [3.1K]
The area of a circle is Pi * R^2 (or R * R).
Since we have our radius, R, we can solve.
With our given answer choices, we do not need to multiply R by Pi, instead we will square R, as that's our only option.
4.5 x 4.5 = 20.25.
Our area is now 20.25Pi.
Your answer is C.) 20.25Pi.
I hope this helps!
4 0
3 years ago
Help me please i put 15 points i think that means it gives you 7 or 8 points??
castortr0y [4]

Answer:

Mean: 0.15125

Median: 0.05

Mode: .05

Range: 0.495

Hope this helps!

3 0
3 years ago
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