Answer:
C.13/25
Step-by-step explanation:
There are 50 people in total and 26 out of them are women
if a person chosen randomly from the room the probability of it being a woman is 26/50 whıich we can simplify to 13/25
Answer:
A. 10/3
Step-by-step explanation
improper fraction examples;

An improper fraction is a fraction that has a numerator bigger than the denominator, (
), therefore the answer would be A.
Hope this helps
Answer:
A) cooling constant = 0.0101365
B) 
c) F(t) = 60 + 77.46
D)137.46 ⁰
Step-by-step explanation:
water temperature = 60⁰F
temperature of Bar after 20 seconds = 120⁰F
temperature of Bar after 60 seconds = 100⁰F
A) Determine the cooling constant K
The newton's law of cooling is given as
= 
= ∫
= ∫ k(60 - F)
= ∫
= ∫ kdt
= In (60 -F) = -kt - c
60 - F = 
60 - F =
( note :
is a constant )
after 20 seconds
= 60 - 120 = -60
therefore
------- equation 1
after 60 seconds
= 60 - 100 = - 40
therefore
-------- equation 2
solve equation 1 and equation 2 simultaneously
=
= 
= 6
= 4
=
= In(6/4) = 40k
cooling constant (k) = In(6/4) / 40 = 0.40546 / 40 = 0.0101365
B) what is the differential equation satisfied
substituting the value of k into the newtons law of cooling)
60 - F =
F(t) = 60 - 
The differential equation that the temperature F(t) of the bar

C) The formula for F(t)
t = 20 , F = 120
F(t ) = 60 - 
120 = 60 - 
= 60
= 77.46
C1 = - 77.46⁰ as the temperature is decreasing
The formula for f(t)
= F(t) = 60 + 77.46
D) Temperature of the bar at the moment it is submerged
F(0) = 60 + 77.46
F(0) = 60 + 77.46(1)
= 137.46⁰
A) Function A (table): rate of change = 2.5/1 = 2.5
Function B (graph): rate of change= -4/1 = -4
You should use change in y over change in x for the table
For the graph: move 4 down to get to the center (0,0) =-4 and then the same for -1 to 0
b) Function A should have a greater rate of change
**I hope this is right!