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lara31 [8.8K]
3 years ago
13

The number of calories in Swiss cheese varies directly with the weight of the cheese. There are about 200 calories in 50 grams o

f Swiss cheese. Willie are 70 grams of Swiss cheese. About how many calories did he eat?
Mathematics
2 answers:
OlgaM077 [116]3 years ago
5 0
The answer I got was 280 calories. I got that by dividing 200 by 50. Which I then got 4. Then, I multiplied 4 by 70 yo get 280 calories.
gizmo_the_mogwai [7]3 years ago
4 0
To know how much calories in each gram make 200/50 which gives you 4 calories that means 1 gram=4 calories  70 grams= 70×4 =280 Calories
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Answer:

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Step-by-step explanation:

Given function is

T(t)=230 -e^{-kt}

where T(t) is the temperature in °C and t is time in minute and A and k are constants.

She noticed that after 18 minutes the temperature of the pie is 138°C

Putting T(t) =138°C and t= 18 minutes

138=230 -Ae^{-k\times 18}

\Rightarrow  -Ae^{-18k}=138-230

\Rightarrow  Ae^{-18k}=92 .....(1)

Again after 36 minutes it is 184°C

Putting T(t) =184°C and t= 36 minutes

184=230-Ae^{-k\times 36}

\Rightarrow Ae^{-36k}=230-184

\Rightarrow Ae^{-36k}=46.......(2)

Dividing (2) by (1)

\frac{Ae^{-36k}}{Ae^{-18k}}=\frac{46}{92}

\Rightarrow e^{-18k}=\frac{46}{92}

Taking ln both sides

ln e^{-18k}=ln\frac{46}{92}

\Rightarrow -18k =ln (\frac12)

\Rightarrow -18k= ln1-ln2

\Rightarrow k= \frac{ln2 }{18}

Putting the value k in equation (1)

Ae^{-18\frac{ln2}{18}}=92

\Rightarrow A e^{ln2^{-1}}=92

\Rightarrow A.2^{-1}=92

\Rightarrow \frac{A}{2}=92

\Rightarrow A= 92 \times 2

⇒A= 184.

Therefore k= \frac{ln2 }{18}, A=184

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Mean:

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