Answer:
8.058655822 mins
Step-by-step explanation:
We have a table and to solve for this we might want to find the equation for this
This is a exponential function
To solve for this we need the rate of decay and the x intercept
We know the x intercept is 180 because in 0 mins the temp is 180
To solve for decay we need to know the temp of the cake after 1 min
to get the decay value we can do
125= 180 (x)^5
.69444444444 = x^5
0.929667185 = x
so the equation would be
180 (0.929667185)^x
if we tell this equation to equal 100
we get
100 = 180 (0.929667185)^x
.5556 = (0.929667185)^x
log .5556 = log 0.929667185 *x
log .5556 / log .929667185)
8.058655822= x
After 8.058655822 mins the cake will be 100 degrees
Answer:
(x-7)(x+5)
Step-by-step explanation:
I would help but I’m not good with graphs
Answer:80students
Step-by-step explanation:
Using set notation concept,
n(U) be the total number of student = 200
n(AnS') be those that earned Bachelor in Art only= 120
n(A'nS) be those that earned Bachelor in Science only= 40
n(AnS) be students that earned both degrees.
Using the formulae below to calculate n(AnS) first;
n(AuS)=n(A'nS)+ n(AnS)+n(AnS')
200=40+n(AnS)+120
200=160+n(AnS)
n(AnS)=40
This shows that 40students earned bachelor in both degrees
Those that earned Bachelor in science degree will then be n(A'nS)+n(AnS) i.e 40+40 =80students.
NB: A' means complement of A(A not included)
'n' denote intersection and 'u' denote union.