Answer:
b=2/3
Step-by-step explanation:
The table is given as:
The exponential function is given in the form
where a is the initial value and b is the multiplicative rate of change
When x=1, y=9, we have:
When x=3, y=4, we have:
Dividing the two equations:
The multiplicative rate of change, b is 2/3.
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.
Answer:
the answer is 32 units.
Step-by-step explanation:
Mean- 2
median- 2
mode- 1&2
range- 3
Answer:
Step-by-step explanation:The prism has 9 edges; the bases of the prism are triangles; and the prism has 5 faces.
Step-by-step explanation:
The bases of a prism are the faces that are parallel. In this prism, the only faces that are parallel are the two triangles. This means the bases are triangles.
In addition to the two parallel bases, there is a are three faces that join the sides of the bases. This makes a total of 2+3 = 5 faces.
The edges are where the faces meet. There are 3 edges around each base; this is 6. There are also 3 edges connecting the lateral faces; this makes 6+3 = 9 edges.
