Answer:
A) f'(t) is negative
B) degc/min
c ) At 20 minutes after the coffee was put on the counter its temperature is 56degc and will decrease by about 1.125 in the next 45 seconds
Step-by-step explanation:
A ) f'(t) is Negative because as the cup of coffee is placed on the counter there is loss of heat from the cup of coffee to the surrounding as t increases hence f'(t) is negative
B ) The units of f'(20) = degc/min
C) At ║f'(20)║ = 1.5 and f'(20) = 56
║f'(20)║ = 1.5 represents the rate of change of temp every 20 minutes = 1.5
therefore after 45 seconds = 3/4 mins. change in temp = (3/4 * 1.5) = 1.125
At 20 minutes after the coffee was put on the counter its temperature is 56degc and will decrease by about 1.125 in the next 45 seconds
X+x+1+x+2=132
3x=129
x=43
43+44+45=132
Answer:
A. 1
Step-by-step explanation:
✔️To find f(g(1)), first find g(1).
From the mapping given for g(x), the corresponding value of x = 1, is 0.
That is,
g(1) = 0
✔️Next is to find f(g(1)) by replacing x with 0 in f(x) = 3√x + 1
Thus:
f(g(1)) = 3√0 + 1
f(g(1)) = 0 + 1
f(g(1)) = 1
Answer:
x = 21
Step-by-step explanation:
1/3(x + 6) = 1/2(x - 3)
(3)1/3(x + 6) = (3) 1/2(x - 3) - multiply both sides by 3 to get rid of the 1/3
x + 6 = 3/2(x - 3)
x + 6 = 3/2 (-9/2) - i distributed the 3/2 into the parenthesis
x + 6 (2) = 3/2 (-9/2) (2) - multiply each side by 2 to get rid of the fractions
2x + 12 = 3x - 9
2x - 3x = -12 -9 - bring the x to one side
-x = -21
-x/-1 = -21/-x
x = 21
