Answer:
The initial temperature of the coffee was 90°C.
Step-by-step explanation:
The function representing the temperature of the coffee after <em>x</em> minutes is:
T is the temperature in degree Celsius.
The initial temperature of the coffee will be at <em>x</em> = 0.
Compute the value of T (x) at x = 0 as follows:
Thus, the initial temperature of the coffee was 90°C.
x =
multiply all terms on both sides of the equation by the lowest common multiple of 3 and 8, that is 24
24 × = 24 ×
+ 2 × 24
16x = 3(x - 1) + 48
16x = 3x - 3 + 48
16x = 3x + 45
subtract 3x from both sides
16x - 3x = 45
13x = 45
divide both sides by 13
x =
Answer:
Step-by-step explanation:
we want to figure out the <em>Sum</em> of the following infinite series:
we're given the nth term of the series so the infinite sum would be
to simplify the sum it, we need our calculas skills. recall that,
Thus,
<u>computing</u><u> the</u><u> </u><u>limit</u><u>:</u>
simplify complex fraction:
simplify denominator:
factor out n²:
reduce fraction:
as n approaches to infinity 1/n² approaches to 0 therefore:
reduce fraction:
hence,