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

Answered by admin AT 18/01/2020 - 07:03 AM

Answer:

The correct answer is:

                   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:

      f(t)=25\sin (\dfrac{\pi}{2}t)+10

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:

a\sin (bt)+c is given by:

Period=\dfrac{2\pi}{b}

Here we have:

b=\dfrac{\pi}{2}

Hence,  Period=\dfrac{2\pi}{\dfrac{\pi}{2}}\\\\\\Period=4

Hence,  Period=4

Post your answer

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

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

45÷3=15 is the same as___ ÷3 plus_____÷3=______

36 divided by 3 plus 90 divided by 3 I think I hope this helps u

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


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

Find the volume of the cylinder. Round your answer to the nearest tenth

V = pi*(r^2)*h
V = pi*(7^2)*5
V = pi*(49)*5
V = 245pi ft^2
V = 796.7 ft^2

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


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

An electric pump can fill a 45-gallon tub in half an hour.At this rate, how long would it take to fill a 60-gallon tub?

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

Find the volume of the cylinder. Round your answer to the nearest tenth

Answer. 42.41
Cylinder Equation: SA= 2× 3.14×r^2+2×3.14×r×h
Diameter of circle divided by 2 to get the radius =1.5
R= Radius
H=Height

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


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

Please someone come thru for me idk how to get these answers

I can barley see can you take another one please

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


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

What is the 100th term in the following sequence: 25, 36, 49, 64...

The sequence is given by (n+5)²
For n=100:
(100+5)² = 105² = 11025

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


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

What is -8 in the following sequence: 25, 17, 9, 1, -7... A-common difference. B- common ratio. C-initial value. D- ratio. Why?

Hello :
 -8 is  common ratio ( answer B) because m 
-8 =(-7)-(1) =(1)-(9) =(9)-(17) =(17)-(25)

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


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

If a necklace was marked up to 400% and was originally $100 what was the original price

Well if the number is 100 dollars and it increases by four hundred percent it now costs 400 dollars. But if it was 100 dollars after the increase the original price was 25 dollars.

ANSWERED AT 01/04/2020 - 01:42 PM


QUESTION POSTED AT 01/04/2020 - 01:42 PM

Ishaan is 72 years old and William is 4 years old. How many years will it take until Ishaan is only 5 times as old as William?

72+x= 5(4+x) just solve for x 

ANSWERED AT 01/04/2020 - 01:42 PM


QUESTION POSTED AT 01/04/2020 - 01:42 PM

PLEASE HELP THE TEACHER IS OUT TO GET ME 10 fish are in a tank 2 drown 4 swim away 3 die how many fish are left in the tank?

10 fish are in the tank
1st fish can't drown
2nd they cant swim away they are in a tank
3rd they are dead but still in the tank
Hope that helps

ANSWERED AT 01/04/2020 - 01:42 PM


QUESTION POSTED AT 01/04/2020 - 01:42 PM

Please answer number 8

I can't see it. Send me another photo.

ANSWERED AT 01/04/2020 - 01:41 PM


QUESTION POSTED AT 01/04/2020 - 01:41 PM

T2 + 2t + 1 = 0 Solve using the quadratic formulaWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

T²+ 2t + 1 = 0

a=1, b=2 & c=1 The formula is x'=[-b+√(b²-4ac)]/(2a)

and====================>x"=[-b-√(b²-4ac)]/(2a)

x' = [-2+√(2²-4(1)] / 2(1) ===> x' = -2/2 ==> x' =-1 & x" = -1
x'=x"= -1

ANSWERED AT 01/04/2020 - 01:40 PM


QUESTION POSTED AT 01/04/2020 - 01:40 PM

What is the radius of a circle when the diameter is 10

The radius of that circle would be 5

The diameter is two times the radius, and 2 times 5 equals 10, which is the same as 10 divided by 2 being equal to 5.

Hope this helps... mark as Brainliest plz

ANSWERED AT 01/04/2020 - 01:40 PM


QUESTION POSTED AT 01/04/2020 - 01:40 PM

URGENT!!! HELP NOW PLEASE!!! 15 POINTS!!!

Circumference= 2*pi*radius
2*pi*4=
8pi/2 bc semicircle
4*3.14=
12.56

ANSWERED AT 01/04/2020 - 01:39 PM


QUESTION POSTED AT 01/04/2020 - 01:39 PM

Find the volume V or height H of the cylinder. Round your answer to the nearest tenth

X = multiplication
h = height
r^2 = radius squared

Formula of a cylinder: Pi x r^2 x height

So, if 176 = 3.14... times 4^2  times h
Then, 176 = 3.14 times 16h 
Next, 176 = 50.24h
Finally, 3.5 = h

You can then check your work by plugging 3.5 back in for the missing height and round to the nearest tenth. :) The answer should come out the same if done correctly.

ANSWERED AT 01/04/2020 - 01:39 PM


QUESTION POSTED AT 01/04/2020 - 01:39 PM

Anybody up at this time? If so,please help me

Circle 42,192 and 210

ANSWERED AT 01/04/2020 - 01:39 PM


QUESTION POSTED AT 01/04/2020 - 01:39 PM

Find the volume V or height H of the cylinder. Round your answer to the nearest tenth

V=Bh
π r^2h
3.14(4)^2(15)
V= 753.6 ft^3

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


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

Joshua has $1,000,278. Part A. He takes 12.90% out to buy something. How much money did he spend, and how much does he have left? Part B. Explain your answer

To get from percentage move the decimal over to the left by 2 and multiply by total money:
1,000,278 x 0.1290 = 129036.  This is how much he took out.  
How much he has left is just the initial amount minus this
1,000,278-129036 = 871242

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


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

The answer pleaseeeeeeeeeeeeeeee

The numbers appear to be adding in this pattern 3, 6, 9, 12, 15 so basically they are just adding on three. I can't really remember the exact terminology for these problems but the answer is 70

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


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

Michael takes a multiple-choice test with 5 answer choices for each question. If he randomly answers every question what is his expected score?

I'm pretty sure it's 20% but I'd wait for a second opinion

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


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

Which is more, 362 inches or 10 yards

1 yard = 3 feet 1 foot = 12 inch so, 1 yard = 36 inches then 10 yards = 360 inches Accordingly; 10 yards and 360 inches are equal so, the answer is: No, they are the same. 10 yards is equal to 360 inches.

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


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

Michaels basketball team practiced for 2 hours 40 minutes yesterday and 3 hours 15 minutes today. How much longer did the team practice today than yesterday

2h 40 min plus 20 is 3h plus 15 is 3h 15 min so it is 35 min

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


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

A line passes through the points (4, 19) and (9, 24) write a linear function in the form y=mx+b for this line

I'm not sure of the b but y=1x+15 but my y-intercept is possibly wrong

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


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

A bag contains 29 red, 22 yellow, and 25 white balloons. If one balloon is picked at random, what is the probability that the balloon picked is white? Write your answer as a decimal rounded to the nearest thousandth

Add all of the balloons first to get the total which is the denominator 76
the probability of white is therefore 25/76
25/76 in decimal form is 0.328947368 and round to nearest thousandth is 
0.329

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


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