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Sindrei [870]
2 years ago
14

May I please receive help?

Mathematics
1 answer:
Jlenok [28]2 years ago
7 0

Answer:

The answer is in the included image

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The number of bacteria in a refrigerated food product is given by N ( T ) = 22 T 2 − 123 T + 40 , 6 < T < 36 , where T is
antoniya [11.8K]

Answer:

N(T(t)) = 1408t^2 - 385.6t - 105.52

Time for bacteria count reaching 8019: t = 2.543 hours

Step-by-step explanation:

To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:

N(T(t)) = 22 * (8t + 1.7)^2  - 123 * (8t + 1.7) + 40

N(T(t)) = 22 * (64t^2 + 27.2t + 2.89) - 984t - 209.1 + 40

N(T(t)) = 1408t^2 + 598.4t + 63.58 -  984t - 169.1

N(T(t)) = 1408t^2 - 385.6t - 105.52

Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:

8019 = 1408t^2 - 385.6t - 105.52

1408t^2 - 385.6t - 8124.52 = 0

Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.

4 0
3 years ago
Can someone help me ? Please
jonny [76]

Answer: if you go to calculator soup you can look up fraction calc or simplily just look up 3 and 1 half divided by 2 thirds i hope this heloed

Step-by-step explanation:

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3 years ago
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Step-by-step explanation:

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3 years ago
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What is the equation for this graph’s lone of best fit. <br> this is due today pls help
Natasha2012 [34]

Answer:

I don't know if your question is multiple choice or not but here's a close estimate to what it should be.

y = \frac{3}{4} x  

Step-by-step explanation:

Obviously at a drop of 0 height there would be 0 rebound height so your y-intercept has to be 0.

As for the slope of the line I used the point at 2.5 and 3.

Here are the coordinates (2.5, 1.25) and (3, 1.625)

Find the average rate of change as you see below

1.625 - 1.25 = .375

3 - 2.5 = .5

.375 / .5 = .75 or 3x/4

The points aren't exactly on the line and the graph isn't 100% linear so obviously the equation is not 100% precise. The slope should very close to 0.75 or 3/4.

3 0
3 years ago
Help Please...<br><br> Factor the expression.<br> 3x^2 - 192
mihalych1998 [28]
The factored expression would look like this : 3(x+8)(x-8)
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