(a) Using Newton's Law of Cooling,
, we have
where T is temperature after T minutes.
Separate by dividing both sides by T - 75 to get
. Integrate both sides to get
.
Since
, we solve for C:
So we get
. Use T(30) = 150 to solve for k:
So
But choose Positive because T > 75. Temp of turkey can't go under.
(b)
Dogs of the AMS.
Answer:
21
Step-by-step explanation:
14 + 5(x+3)-7
14 + 5x +15 -7
5x + 22
Steps in multiplying fractions. Remember: finding common denominator is not necessary in multiplying fractions.
Common denominators are only needed in adding and subtracting fractions.
14/15 * 5/2
Step 1. Multiply the numerators.
14 * 5 = 70
Step 2. Multiply the denominators
15 * 2 = 30
Step 3. Simplify the fraction.
70/30 = 2 10/30 = 2 1/3
*the fraction 10/30 can still be simplified by dividing both numbers by 10. Hence, 1/3.
Steps in Dividing fractions.
24/60 ÷ 8/15
Step 1. Get the reciprocal of the 2nd fraction. Reciprocal means the reverse of the fraction. Simply swap the places of the numbers.
Reciprocal of 8/15 is 15/8.
Step 2. Multiply the 1st fraction to the reciprocal of the 2nd fraction. Follow steps in multiplying fractions.
24/60 * 15/8 = (24*15) / (60*8) = 360/480
Step 3. Simplify the fraction.
360/480 = 9 / 12 = 3/4
360 ÷ 40 = 9 ; 9 ÷ 3 = 3
480 ÷ 40 = 12 ; 12 ÷ 3 = 4