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sattari [20]
3 years ago
12

A model for the basal metabolism rate, in kcal/h, of a young man is R(t) = 95 − 0.18 cos(πt/12), where t is the time in hours me

asured from 5:00 AM. What is the total basal metabolism of this man, 24 R(t) dt, 0 over a 24-hour time period?
Mathematics
1 answer:
11111nata11111 [884]3 years ago
5 0

Answer:

  2280 kcal

Step-by-step explanation:

The given function R(t) is periodic with a period of 24 hours, so the integral is the product of the average value (95 kcal/h) and the 24-hour interval:

  (95 kcal/h)(24 h) = 2280 kcal

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The sum of two numbers is 12. The difference of the same two numbers is 24. what is the larger of the two numbers
Vsevolod [243]

ANSWER


The larger number is 18

<u>EXPLANATION</u>

Let x be the larger number and y be the smaller  number.


Then,

x+y=12--(1)


x-y=24--(2)


Let us add equation (1) and (2).


2x=36


Divide through by 2


x=18


Put x=18 in to equation (1).

This implies that,

18=y=12



y=12-18=-6




4 0
3 years ago
Helppppp meeeeeee plzzzzzzzzz
Mars2501 [29]
The answer is 6/2 because there are 6 stars and 2 hearts. To simplify it, you can make it 3/1 by just dividing by 2.
5 0
4 years ago
Read 2 more answers
Can 12(x^3+y^2)+6(y^2+1) be the factored form of 12x^3+18y^2+6?
Misha Larkins [42]

Answer:

YES

Step-by-step explanation:

So how you can figure this out is you do the Distributive Property.

So it will be 12x^3+12y^2+6y^2+6.

The next thing you have to do is add together the ones that are similar which is 12y^2+6y^2 to get 18y^2.

Your answer is 12x^3+18y^2+6. So YES it can be factored into that form.

4 0
3 years ago
Read 2 more answers
Paul and five friends each sold the same number of tickets. They sold 54 tickets altogether. How many tickets did each person se
zloy xaker [14]

Answer:

8

Step-by-step explanation:

It's 54÷6 which equals 8

6 0
3 years ago
Michael and Kathryn bowl together and their combined total score for one game was 425points. Michael’s score was 70 less than tw
In-s [12.5K]

Hey there!

Let us take Michael's score as ' x '

Let us take Kathryn's score as ' y '

Michael - 70 less than twice Kathryn's


x = 2y - 70

y = y

Add them, we get , 425

2y - 70 + y = 425

3y - 70 = 425

3y = 495

y = 495/3

y = 165

Kathryn's score = 165

Michael - 2 ( 165 ) - 70

= 260

Hope it helps!

7 0
3 years ago
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