Teddy uses 2.5 gallons of ice to fill 4 buckets. He needs to 30 buckets.how many gallons of ice will teddy need
2 answers:
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Answer:
a). 59.049°C
b). 2.1179 seconds
Step-by-step explanation:
Expression representing the final temperature after decrease in temperature of the metal from 100°C to T°C is,
T =
where x = duration of cooling
a). Temperature when x = 5 seconds
T = 100(0.9)⁵
= 59.049
≈ 59.049°C
b). If the temperature of the metal decreases from 100°C to 80°C
Which means for T = 80°C we have to calculate the duration of cooling 'x' seconds
80 =
0.8 =
By taking log on both the sides
log(0.8) =log[]
-0.09691 = x[log(0.9)]
-0.09691 = -0.045757x
x =
x = 2.1179
x ≈ 2.1179 seconds
Answer:
(0, 1)
(7.1, 0.49)
Step-by-step explanation:
The graph of the function is attached below.
We have an exponential function:
And we have a quadratic function:
To find the solution to:
we must look in the graph for the values of x for which both curves are intercepted, these values are:
Then the solution are the following ordered pairs:
(0, 1)
(7.1, 0.49)
