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3 years ago

Find the rational number halfway between 5/16 and 7/8

1 answer:

8 0

$\left(\frac{5}{16}+\frac{7}{8}\right):2=\left(\frac{5}{16}+\frac{14}{16}\right):\frac{2}{1}=\frac{5+14}{16}\cdot\frac{1}{2}=\frac{19}{16}\cdot\frac{1}{2}=\frac{19}{32}$

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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

4 years ago

A number x divided by -1 is at less than 45

Elanso [62]

Answer:

x is greater than 45

Step-by-ste

3 0

3 years ago

Read 2 more answers

Evaluate<br> O 15<br> O1<br> What’s the answer?????

Sphinxa [80]

The pictures is black and theres only 15 and a 1 so im gonna guess 15

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3 years ago

A local store is offering 20% off regular priceiPods. The original price is $200, how much willthe iPod cost during the sale?

Tju [1.3M]

This is the answer :
100%-20%=80%
$\frac{80}{100} = \frac{x}{200} \\ x = \frac{200 \times 80}{100} = \frac{16000}{100} = 160$
the answer $160

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3 years ago

What's 43080700 in word form

skad [1K]

Forty three million, eighty thousand seven hundred

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3 years ago