Answer:7
Step-by-step explanation:
all you have to do is subtract 20-13
No, because it has a constant rate of change
By looking at this table
The y value changes at a constant multiple of 2
6 4
7 2 (4-2 is a difference of 2)
8 0 (2-0 is a difference of 2)
9 -2 (0-2 is a difference of 2)
This means it is Linear
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:
Let p be the number of pencils.
3(14-p)=30+p
42-3p=30+p
4p=12, p=3.
So Peter ends up with 33 and Tony with 11. 3*11=33, so that confirms that Tony gave Peter 3 pencils.
<u>Given</u>:
The measure of ∠ABD is (4x + 15)°
The measure of ∠DBC is (13x + 7)°
We need to determine the value of x.
<u>Value of x:</u>
Since, we know the property that every angle in a rectangle is 90°
Hence, the value of x can be determined by adding the two angles and equating to 90°
Thus, we have;
Substituting the values, we have;
Thus, the value of x is 4.