Answer:
t=5.18 minute
Step-by-step explanation:
Using Newton's law of cooling

T is temperature of a cup of coffee at any time t
, is the temperature of the surrounding and k is a constant of proportionality in this negative because temperature is decreasing.


To find constant knowing the time and the temperature the first step of the change of energy in cup of coffee

Now using the constant of decreasing can find the time to be a 145 temperature the cup of coffee


Answer:
0.342
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
An equation at represents this situation is:
-5 = 3 + x
Find x by;
-5 - 3 = -8
So x is -8:
-5 = 3 + -8 (TRUE)
Hope this helps
Perhaps the most concise way to factor is by "completing the square" which is how the quadratic formula is derived...
x^2+6x+8=0 move constant to other side, subtract 8 from both sides
x^2+6x=-8, halve the linear coefficient, square it, then add that to both sides, in this case (6/2)^2=3^2=9
x^2+6x+9=1 now the left side is a perfect square of the form
(x+3)^2=1 take the square root of both sides
x+3=±√1 subtract 3 from both sides
x=-3±√1
x=-3±1
x=-4 and -2
Since the zeros occur when x=-4 and -2 the factors of the equation are:
(x+2)(x+4)
Answer:
Option a)
Step-by-step explanation:
The given formula seems to represent the volume of right circular cone. The correct formula is:

We have to rearrange the formula for h. This means we have to move h on one side of the formula and all the other variables and constants on the other side of the equation. This can be done as shown below:
