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Rachel Rutherford

Rachel R.

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Use Newton's Law of Cooling, $T=C+\left(T_{0}-C\right) e^{k t},$ to solve Exercises $47-50$. A bottle of juice initially has a temperature of $70^{\circ} \mathrm{F}$. It is left to cool in a refrigerator that has a temperature of $45^{\circ} \mathrm{F}$. After 10 minutes, the temperature of the juice is $55^{\circ} \mathrm{F}$ a. Use Newton's Law of Cooling to find a model for the temperature of the juice, $T$, after $t$ minutes. b. What is the temperature of the juice after 15 minutes? c. When will the temperature of the juice be $50^{\circ} \mathrm{F} ?$

Use Newton's Law of Cooling, $T=C+\left(T_{0}-C\right) e^{k t},$ to solve Exercises $47-50$. A bottle of juice initially has a temperature of $70^{\circ} \mathrm{F}$. It is left to cool in a refrigerator that has a temperature of $45^{\circ} \mathrm{F}$. After 10 minutes, the temperature of the juice is $55^{\circ} \mathrm{F}$ a. Use Newton's Law of Cooling to find a model for the temperature of the juice, $T$, after $t$ minutes. b. What is the temperature of the juice after 15 minutes? c. When will the temperature of the juice be $50^{\circ} \mathrm{F} ?$

Precalculus Essentials

Exponential and Logarithmic Functions

Exponential Growth and Decay; Modeling…

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Sydney Bement verified

Numerade educator

Question Assume a population of catfish grows exponentially. A pond is initially stocked with 204 catfish. After 23 months, there are 408 catfish in the pond. The owner will allow his friends and neighbors to fish on his pond after the catfish population reaches 458. After how many months will the catfish population reach 458? Round your answer to the nearest whole number. Provide your answer below: t ? ? months

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Sydney Bement verified

Numerade educator

Define Q as the region that is bounded by the graph of the function g(y) = -2?(y - 1), the y-axis, y = 3, and y = 5. Use the disk method to find the volume of the solid of revolution when Q is rotated around the y-axis. Submit an exact answer in terms of ?. V = units^3

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Khushbu Rani verified

Numerade educator

Find the average value of f(x) = -5?(x) + ?(x) over the interval [0, 2]. Submit an exact answer using fractions and/or roots if needed. The average value of f(x) is

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