Answer:
Step-by-step explanation:
x - 9/12 + 8/12 = 17/12
x - 1/12 = 17/12
x = 18/12= 3/2 = 1 1/2
Answer:
6 mins
Step-by-step explanation:
Given that;
T(t) = Ce^-kt + T(s)
Since T(t) = 200◦F, and T(s) = 70◦F where t = 0
200= Ce^-k(0) + 70
C= 200 - 70
C = 130
Then when T(t) = 190◦F and t= 1s ;
190 = 130e^-(k *1) + 70
190 - 70 = 130e-^(k *1)
120/130 = e^k
0.923 = e^-k
-k = ln(0.923)
k = 0.08
To determine the time taken to reach a temperature of 150◦F
150 = 130e^-(0.08t) + 70
150 - 70/130 = e^-(0.08t)
0.6154 = e^-(0.08t)
-(0.08t) = ln 0.6154
0.08t = 0.4855
t = 0.4855/0.08
t = 6 mins
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Answer:
a_n = n^2 − 1
Step-by-step explanation:
The numbers can be described as a polynomial with the following formula:
a1 = 1^2 − 1 = 1 - 1 = 0
a2 = 2^2 − 1 = 4 - 1 = 3
a3 = 3^2 − 1 = 9 - 1 = 8
a4 = 4^2 − 1 = 16 - 1 = 15
a5 = 5^2 − 1 = 25 - 1 = 24
Answer:
y = 2x
Step-by-step explanation:
Claire is hungry. She buys 2 donuts each costing x $. How much should she pay?
Since one donut costs x $ 2 donuts cost 2x $.
Therefore, total amount Claire should pay, call it y = 2x.
Hence, we have y = 2x.