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3 years ago

Sorry it's in black and white but i need help with 3a. b. c. and 4

Mathematics

1 answer:

Andrews [41]3 years ago

4 0

It s for a is 20 1in for b it is 36 and for
c

its 50

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The number of bacteria in a refrigerated food product is given by N ( T ) = 27 T 2 − 180 T + 100 N(T)=27T2-180T+100, 7 < T &l

NeX [460]

Answer:

$N(T(t))=432t^2-374.4t-118.88$

The number of Bactria after 5.8 hours is 12242.

Step-by-step explanation:

The number of bacteria in a refrigerated food product is given by

$N(T)=27T^2-180T+100$

where, T is the temperature of the food.

When the food is removed from the refrigerator, then the temperature is given by

$T(t)=4t+1.6$

We need to find the composite function N(T(t)).

$N(T(t))=N(4t+1.6)$

$N(T(t))=27(4t+1.6)^2-180(4t+1.6)+100$

$N(T(t))=432t^2+345.6t+69.12-720t-288+100$

$N(T(t))=432t^2-374.4t-118.88$

where N(T(t)) is the number of bacteria after t hours.

Substitute t=5.8 in the above function.

$N(T(5.8))=432(5.8)^2-374.4(5.8)-118.88$

$N(T(5.8))=14532.48-2290.4$

$N(T(5.8))=12242.08$

$N(T(5.8))\approx 12242$

Therefore, the number of Bactria after 5.8 hours is 12242.

7 0

3 years ago

What correlation is shown by the scatter plot?

m_a_m_a [10]

Linear correlation.

8 0

3 years ago

What is the remainder when x 3 - 7x - 6 is divided by the linear factor x - 4? 4

mart [117]

Hello,

P(x)=x^3-7x-6

P(4)=4^3-7*4-6=30
Remainder=30

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4 years ago

Rena wrote all the integers from 1 to 12. <br><br> How many numbers did she write?

Aleksandr [31]

Answer:

integers from 1 to 9 have only one number each, so in total 9 numbers. integers from 10 to 12 have 2 numbers each, 3*2=6. 9+6=15

7 0

3 years ago

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The tables above identify some of the points for functions f(x) and g(x).

melomori [17]

Answer:

0=3 0=-6

Step-by-step explanation:

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3 years ago