H^3+3h^2x+3hx^2+x^3 should be the answer
Use function notation to represent this statement:
At 1 p.m., there were 257 visitors in the museum.
Answer: V(4)=257
Explanation: It says that the Museum opens at 9 so it would be 4 hours. And the 257 is the number of visitors at that time.
Answer:
(x + 5)(x + 10) = 0
Step-by-step explanation:
When you solve for the equation:
, you get that the answer is
.
<em>Hope this helped!!</em>
Answer: You need to wait at least 6.4 hours to eat the ribs.
t ≥ 6.4 hours.
Step-by-step explanation:
The initial temperature is 40°F, and it increases by 25% each hour.
This means that during hour 0 the temperature is 40° F
after the first hour, at h = 1h we have an increase of 25%, this means that the new temperature is:
T = 40° F + 0.25*40° F = 1.25*40° F
after another hour we have another increase of 25%, the temperature now is:
T = (1.25*40° F) + 0.25*(1.25*40° F) = (40° F)*(1.25)^2
Now, we can model the temperature at the hour h as:
T(h) = (40°f)*1.25^h
now we want to find the number of hours needed to get the temperature equal to 165°F. which is the minimum temperature that the ribs need to reach in order to be safe to eaten.
So we have:
(40°f)*1.25^h = 165° F
1.25^h = 165/40 = 4.125
h = ln(4.125)/ln(1.25) = 6.4 hours.
then the inequality is:
t ≥ 6.4 hours.
6)The experimental probability is 39%.(39/100(100)).
7) The theoretical probability is theoretical. This is when something should happen without taking external forces into account. Experimental probability is taking the external forces into account which is why the probability is not as clean cut.
The theoretical probability should be 33%.
The experimental probability is actually 39%.