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Tatiana [17]
2 years ago
9

Brett has consumed 1,400 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily

calorie total to 2,000 calories per day. How many calories does he have left to consume for the day? Is 1,200 a viable solution to this problem?
I NEEED HELPP PLZZ :(
A Yes; 1,200 is less than 1,400.
B Yes; 1,200 is less than 2,000.
C No; 1,200 is more than the 400 he burned off at the gym.
D No; 1,200 will cause him to exceed 2,000.
Mathematics
1 answer:
Irina-Kira [14]2 years ago
3 0

Answer

D

Step-by-step explanation:

D is correct because 1,400-400= 1,000

so he can only consume 1,000 more calories so 1,200 will cause him to go over 2,000

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Answer:

Here, the given function that represents the number of hours of daylight in New Orleans in 1994 is,

D(x) = \frac{7}{3} \sin \frac{2\pi }{365}x + \frac{35}{3}

Where,

x = the number of days after March 21

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If x = -80, then,

D(-80) = \frac{7}{3} \sin \frac{2\pi }{365}(-80) + \frac{35}{3}

            =\frac{7}{3} \sin (-\frac{160 \pi}{365}) + \frac{35}{3}

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            =-\frac{7}{3}(0.98130)+\frac{35}{3}

           \approx 9.38

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The number of days from march 21 to may 4 = 44

If x =44, then,

D(44) = \frac{7}{3} \sin \frac{2 \pi}{365}(44) + \frac{35}{3}

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D(221) = \frac{7}{3} \sin \frac{2 \pi}{365}(221) + \frac{35}{3}

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Therefore, the number of hours of daylight on October 28 are 10.23.

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Answer:

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