﻿ The function f(t) = 25 sin (pi over 2t) + 10 models the temperature of a periodic chemical reaction where t represents time in hours. What are the maximum and minimum temperatures of the reaction, and how long does the entire cycle take? Maximum: 35°; minimum: −15°; period: 4 hours<--- my answer Maximum: 25°; minimum: 10°; period: pi over 2 hours Maximum: 100°; minimum: −15°; period: pi over 2 hours Maximum: 35°; minimum: 35°; period: 8 hours - AssignmentGrade.com

# The function f(t) = 25 sin (pi over 2t) + 10 models the temperature of a periodic chemical reaction where t represents time in hours. What are the maximum and minimum temperatures of the reaction, and how long does the entire cycle take? Maximum: 35°; minimum: −15°; period: 4 hours<--- my answer Maximum: 25°; minimum: 10°; period: pi over 2 hours Maximum: 100°; minimum: −15°; period: pi over 2 hours Maximum: 35°; minimum: 35°; period: 8 hours

QUESTION POSTED AT 18/01/2020 - 07:03 AM

Maximum: 35°; minimum: −15°; period: 4 hours

## Step-by-step explanation:

We are given a function f(t) which represent the temperature of a periodic chemical equation as:

Hence, the maximum value of the function is attained when Sine function is maximum and the minimum value is attained when the sine function attains the minimum value.

We know that the Maximum value of sine function=1

and Minimum value of Sine function is: -1

when Sine function=1

we have: f(t)=25+10=35°

Hence, Maximum value of function= 35°

Also when Sine function= -1

We have: f(t)= -25+10= -15°

Minimum value of function= -15°

Also, we know that period of sine function of the type:

is given by:

Here we have:

Hence,

Hence,  Period=4

## Related questions

### At another theater workers have to cut a new trap door.the door can be no mre than 130 sq ft in the area with whole number side lengths.they have to bring in 3 items to the stage.the first item is 6 feet,5 inches wide and 8 feet,9 inches long.the seconed item is 13 feet,4 inches wide and 7 feet, 8 inches long.the third item is 5 feet,6 inches wide and12 feet, 4 inches long. what size of trap door would you reccomend? what is the perimeter of the trap door

HhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhGiven:
trap door = 130 square feet.

1st item: 6ft 5in wide & 8ft 9in long
⇒ (6ft * 12 in) + 5 in & (8ft *12 in) + 9 in
⇒ 77inches by 105 inches
⇒ 8,085 square inches

2nd item: 13ft 4in wide & 7ft 8in long
⇒ (13ft * 12in)+ 4 in & (7ft *12in) + 8 in
⇒ 160 inches by 92 inches
⇒ 14,720 square inches

3rd item: 5ft 6in wide & 12ft 4in long
⇒ (5 ft * 12in) + 6 in & (12ft * 12in) + 4in
⇒ 66 inches by 148 inches
⇒ 9,768 square inches

130 square feet convert to square inches.
130 sq. ft * 144 sq.in/sq.ft = 18,720 sq. in

18,720 sq. in / 160 inches = 117 inches

Length = 160 inches ; Width = 117 inches
Perimeter = 2(160 + 117)
P = 2(277)
P = 554 inches
P = 2(277)
P = 554 inches

ANSWERED AT 01/04/2020 - 01:48 PM

QUESTION POSTED AT 01/04/2020 - 01:48 PM

### At another theater workers have to cut a new trap door.the door can be no mre than 130 sq ft in the area with whole number side lengths.they have to bring in 3 items to the stage.the first item is 6 feet,5 inches wide and 8 feet,9 inches long.the seconed item is 13 feet,4 inches wide and 7 feet, 8 inches long.the third item is 5 feet,6 inches wide and12 feet, 4 inches long. what size of trap door would you reccomend?

It's a mutha flipping dinosaur train

ANSWERED AT 01/04/2020 - 01:48 PM

QUESTION POSTED AT 01/04/2020 - 01:48 PM

### PLZ help! Combine like terms (simply) 7 -3(4-2x) -10x students Answer: 16 - 18x What was the students mistake? What us the right way to do this?

Correct answer: 7-12+6x which simplifies to -5+6x

ANSWERED AT 01/04/2020 - 01:48 PM

QUESTION POSTED AT 01/04/2020 - 01:48 PM

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ANSWERED AT 01/04/2020 - 01:47 PM

QUESTION POSTED AT 01/04/2020 - 01:47 PM

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ANSWERED AT 01/04/2020 - 01:47 PM

QUESTION POSTED AT 01/04/2020 - 01:47 PM

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You can cross multiply to find the answer. Start by setting up your equation:

45/30 = 60/x  (30 represents half an hour)
Next, cross multiply, 45 times x, and 60 times 30:

45x = 1800  you must isolate the "x" value by using the opposite operation it is involved in. Here we have 45x (x is multiplied to 45) so we must divide 45, which will cancel itself out, leaving us with "x."

What you do on one side of the equation, you must do on the other, so divide 1800 by 45 as well, which will leave you with 40.

Working it out on paper, your equation should now look like this: x=40, which represents the amount of time it will take to fill a 60 gallon tube.

Answer: It will take 40 minutes to fill a 60 gallon tube.

ANSWERED AT 01/04/2020 - 01:47 PM

QUESTION POSTED AT 01/04/2020 - 01:47 PM

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ANSWERED AT 01/04/2020 - 01:46 PM

QUESTION POSTED AT 01/04/2020 - 01:46 PM

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ANSWERED AT 01/04/2020 - 01:45 PM

QUESTION POSTED AT 01/04/2020 - 01:45 PM

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ANSWERED AT 01/04/2020 - 01:43 PM

QUESTION POSTED AT 01/04/2020 - 01:43 PM

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Hello :
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ANSWERED AT 01/04/2020 - 01:43 PM

QUESTION POSTED AT 01/04/2020 - 01:43 PM

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ANSWERED AT 01/04/2020 - 01:37 PM

QUESTION POSTED AT 01/04/2020 - 01:37 PM

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ANSWERED AT 01/04/2020 - 01:36 PM

QUESTION POSTED AT 01/04/2020 - 01:36 PM

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ANSWERED AT 01/04/2020 - 01:36 PM

QUESTION POSTED AT 01/04/2020 - 01:36 PM

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ANSWERED AT 01/04/2020 - 01:35 PM

QUESTION POSTED AT 01/04/2020 - 01:35 PM

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ANSWERED AT 01/04/2020 - 01:34 PM

QUESTION POSTED AT 01/04/2020 - 01:34 PM

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ANSWERED AT 01/04/2020 - 01:34 PM

QUESTION POSTED AT 01/04/2020 - 01:34 PM

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ANSWERED AT 01/04/2020 - 01:34 PM

QUESTION POSTED AT 01/04/2020 - 01:34 PM