A25-year old woman burns 300 − 80 t 300-80t cal/hr while walking on her treadmill. her caloric intake from drinking gatorade is 50 t 50t calories during the t tth hour. what is her net decrease in calories after walking for 3 hours?

The net decrease in calories after walking 3 hours is 210 cal (if the Gatorade intake is discrete) or 765 cal ( if the Gatorade intake is continuous)

Explanation:

The net decrease N in calories after 3 hours will be

N=Net decrease = Decrease due to walking - Increase because of Gatorade

= 300 - 80*t + 50*t = 300 - 30*t

- if the Gatorade intake is discrete ( 1 gatorade each hour with 30 calories intake , so there is total intake of 30*t at time t) , then for t = 3 hours

Net decrease = 300 cal - 30 cal/hour * 3 hours = 300 cal - 90 cal = 210 cal

Net decrease =  210 cal

- if the Gatorade intake is continuous ( continuously drinking Gatorade during the walk) , then

N = ∫(300 - 30*t) dt =  300*t - 30*t²/2 (integrated between t and t=0)

then for t=3 hours

N = 300*3 - 30*3²/2 = 765 cal

facts: the 14th amendment

the 14th amendment addresses citizenship rights and equal protection of the laws.

the 14th amendment was intended to protect the rights of former slaves after the american civil war.

the 14th amendment was approved by congress in june of 1866 and ratified by the states on july 9, 1868.

the 14th amendment establishes that all persons born in the united states are citizens and are guaranteed all the rights of citizenship.

the 14th amendment establishes that the law protects all citizens equally.

in this case the passage of the 14th amendment   that was violated was the last part in which it states that there is equal protection of the law.

the packers and the chiefs played in the first super bowl, which was held in los angeles in 1967. -is the sentence that would stand out the most when scanning a paragraph.