1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AlexFokin [52]
3 years ago
9

Felicity set the thermostat of her refrigerator to 37°F. The refrigerator temperature t in degrees Fahrenheit h hours after the

temperature sensor in the refrigerator is activated satisfies t=1cos(1.05h)+37 . Determine the period of the function and explain what it represents. Include the maximum and minimum temperatures in your answer.
Mathematics
2 answers:
ehidna [41]3 years ago
6 0

Answer:

6

Step-by-step explanation:

Felicity set the thermostat of her refrigerator to 37°F. The refrigerator temperature t in degrees Fahrenheit h hours after the temperature sensor in the refrigerator is activated satisfies t=1cos(1.05h)+37. Therefore, the period of the function is 6.

kirill115 [55]3 years ago
5 0

Answer:

Period=6

Step-by-step explanation:

Given:

t=1cos(1.05h)+37

Using acos(bx-c)+d to find the period of the given function

amplitude= a

period= 2π/Bb

phase shift=c (positive is to the left)

vertical shift=d

comparing with t=1cos(1.05h)+37, we get

a=1

b=1.05

c=0

d=37

period= 2π/b

          =2π/1.05

          =5.983

          =6

Period of function is 6, after every 6 hours the refrigerator sensor will reach its maximum temperature and the cycle will move towards reducing temperature i.e it'll reach the minimum temperature then again the cycle will move upwards raising the temperature to maximum and so one period will be completed!

You might be interested in
Helping hearts is making care packages. 36 bars of soap and 27 tubes of toothpaste our available each package will contain an eq
AfilCa [17]
The answer is 27 because there isn't enough bars of soap to have 2 in each package
6 0
2 years ago
Read 2 more answers
Tierra bought 4 3/8 yards blue ribbon and 2 1/8 yards yellow ribbon for a craft project. How much more blue ribbon than than yel
PolarNik [594]
She bought 2 1/4 more blue ribbon.

4 3/8 - 2 1/8 = 2.25
2.25= 9/4
9/4= 2 1/4

-Katie ;)
4 0
3 years ago
Read 2 more answers
A cannon ball is launched at 6 feet per second from the top of a platform 12 feet above the ground.
AleksAgata [21]
A.) y = ut - 1/2gt^2 + 12
y = 6t - 1/2(9.8)t^2 + 12
y = 6t - 4.9t^2 + 12

b.) The y-intercept is 12

c.) The y-intercept represent the height of the ball at time t = 0

d.) At the time the ball reaches the ground, y = 0
-4.9t^2 + 6t + 12 = 0
t = 2.29 seconds
Therefore, it took the ball 2.29 seconds to reach the ground.
7 0
3 years ago
Please help! :))
denis23 [38]

Answer:

Check below

Step-by-step explanation:

Hi,

We're dealing with linear functions. f(x)=mx+b

We have here the first function.

g(x)=3x

That's a linear function, with slope, and no linear coefficient since

But on the other hand, the functions below, they all describe parallel lines, since their slope has the same value. I've changed the letters to make it easier the comprehension.

Even though each one has the same slope value, they have different non zero linear coefficients, {-6,-18,6,18}. Unlike, the first one

h(x)=3(9x-2) \rightarrow h(x)= 27x-6\\i(x)=9(3x-2)\rightarrow i(x)=27x-18\\j(x)=3(9x+2)\rightarrow j(x)=27x+6 \\k(x)=9(3x+2)\rightarrow k(x)=27x+18\\

A possible solution would be adjusting any of these, whose operation would result in g(x)=3x, but

Like

y=9(\frac{3x}{9}-2)+18 =3x

4 0
3 years ago
Help. IM SO LOST ON THIS! ;(
castortr0y [4]

Answer:

1. 4\frac{2}{3}

Step-by-step explanation:

For question 1, you need to know the ratio between the recipe and the amount in question.

So if in the recipe, it says it uses 3/4 cup of diced ham, and the question uses 1 cup of diced ham, you can divide 1 by 3/4 to get 4/3. This is how many times bigger the amount used in the question than the recipe.

Then it asks for how many cups of potatoes, to do this, you look at the recipe and how many potatoes it uses: 3.5 cups

To solve it then, you just do 3.5 x 4/3 to get 4\frac{2}{3} cups of potatoes

There's your answer.

3 0
3 years ago
Other questions:
  • I invited 8 people to a party (including me) and i only had 3 brownies. How much did each person get if everyone got a fair shar
    11·2 answers
  • all 198 books rebecca labeled were priced at 1.75 per book. By 4:00 pm, all but 80 of those books had been sold. What was the to
    14·1 answer
  • Find the solutions <br> x^2=16x-28
    6·1 answer
  • Points and their residual values are shown in the table. A 3-column table with 5 rows. The first column is labeled x with entrie
    12·2 answers
  • How many solutions exist for the given equation?
    8·1 answer
  • If x=2+√5 find the value of x²-1/x²
    13·2 answers
  • 84 students can fit on 2 busses. How many students can fit on 9 busses
    8·1 answer
  • What terms can be combined with 3a? Select all that apply.
    15·2 answers
  • On monday andres bought a new bike for 112.50 if his bike depreciates by 15% what is his bike worth now
    12·1 answer
  • two card are drawn from a well shuffled deck of 51 cards. find the probability thst both cards are king( the first card is not r
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!