Answer:
Step-by-step explanation:
Given, = (2, -5) and = (8, 3)
The slope formula is,
Answer:
No. Angle 1 is an obtuse angle while angle 2 is an acute angle. obtuse angles are more than 90 degrees, which is more than an acute angle's less than 90 degrees.
Step-by-step explanation:
Answer: 1728
Step-by-step explanation: You multiply 12 times 12 because we have to find how many items are in a 12 dozen first which is 144 because there are 12 items in one dozen. We already know that there are 144 items in 12 dozens and there are 12 dozens in a gross, which is 144 items in total. Now we have to multiply 144 times 12 to find how many items are in a great gross. 144 times 12 is 1728.
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:
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Step-by-step explanation: