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
victus00 [196]
3 years ago
7

The temperature of a substance during an experiment can be modeled by the function f(x)=−7.5cos(πx30)+31.4 , where f(x) is the t

emperature °c and x is the number of minutes into the experiment. what is the greatest temperature the substance reached during the experiment?
Physics
2 answers:
vekshin13 years ago
6 0
38.9 degrees celsius
ololo11 [35]3 years ago
6 0

Answer :  f(x)=38.9^0\ C

Explanation :

It is given that,

The temperature of a substance during an experiment is given by a function as :

f(x)=-7.5cos(\dfrac{\pi x}{30})+31.4................(1)

Where,

f(x) is the temperature

and x is the time.

So, for getting a maximum temperature the substance reached during the experiment the value of cos( \dfrac{\pi x}{30}) should by minimum.

We know that the value of cos is minimum at \pi.

So, cos( \dfrac{\pi x}{30})=cos\pi

We get, x = 30

Put the value of x in equation (1)

f(x) = -7.5cos(\dfrac{\pi \times 30}{30})+31.4

Since, cos \pi=-1

f(x)=38.9^0\ C

So, the greatest value of temperature the substance reached during the experiment is f(x)=38.9^0\ C.

You might be interested in
The basic barometer can be used to measure the height of a building. If the barometric readings at the top and the bottom of a b
erma4kov [3.2K]

Answer:

h = 269.6 m

Explanation:

Pressure at the bottom of the building and at the top of the building must be related as

P_{top} = P_{bottom} - \rho g h

P_{top} = 730 mm Hg

P_{bottom} = 755 mm Hg

now we will have

(755 \times 10^{-3})(13.6 \times 10^3)(9.81) = P_{bottom}

P_{bottom} = 1.007 \times 10^5 Pa

P_{top} = (730\times 10^{-3})(13.6 \times 10^3)(9.81)

P_{top} = 0.974 \times 10^5

now we have

(1.007 - 0.974)\times 10^5 = 1.25 (9.81) h

h = 269.6 m

7 0
3 years ago
If a car's speed triples, how does the momentum and kinetic energy of the
Harrizon [31]

Answer: When the car speed triples, momentum also triples but Kinetic energy increases 9 times or by 9 fold.

Explanation:

The momentum of a car (an object) is

p= mv

where

m is =the mass of the object( in this case car)

v is its= velocity

While the kinetic energy is is given by the formulae

K=1/2mv²

To determine how momentum and kinetic energy of the  car changes when the speed of the object triples, We have that the new velocity,

v¹= 3v

So that  the momentum  change becomes

p¹=mv¹=m (3v)= 3mv

mv=p

therefore p¹= 3p

we can see that the momentum also triples.

And the kinetic energy change  becomes

K¹=1/2m(v¹)²= 1/2m (3v)²

= 1/2m9v²= 1/2 x m x 9 x v²=9 x1/2mv²

1/2mv²=K

K¹= Kinetic energy = 9k

but Kinetic energy increases 9 times

7 0
3 years ago
When looking at a graph what are the first 3 things you should do?
Valentin [98]

Answer: Look where the points are.

Explanation:

4 0
2 years ago
Read 2 more answers
Class characteristics serve as corroboration for other, more subjective pieces of evidence in a courtroom (like witness testimon
Amiraneli [1.4K]

Answer: True

Explanation:

Class characteristics can be define as the features which are common to the group of objects. Like the make, model, label of the manufacturing company, design, shape and form. The individual characteristics can be define as the features which develop on the object or any other article with it's wear and use. Like tear, cuts, malformation and deposition of dust, dirt, and mud. The individual characteristic indicate towards the ownership of article or evidence to a particular person.

The class characteristics can only support the possibility of the evidence exactly alike that of the evidence found at the scene of crime. But the individual characteristics can directly link the evidence with the cause of crime. Hence, will be useful to prove that a crime has taken place in the court of law.

8 0
3 years ago
Read 2 more answers
i just said something super cringey to someone and now i wish i had a time machine because i cant forget it :((( SOME HELP PLEAS
Llana [10]

Answer:

what did you say???

Explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • On the earth, when an astronaut throws a 0.250-kg stone vertically upward, it returns to his hand a time T later. On planet X he
    10·1 answer
  • se the mass and volume data to calculate the density of mercury to the nearest tenth. Mass = 57 g Volume = 4.2 mL The density of
    14·2 answers
  • Earthquakes along the subduction zones near Sumatra and Chile are some of the strongest in
    15·1 answer
  • When driving at night switch to low-beams whenever you come within ___ ft of an oncoming vehicle.
    14·2 answers
  • What parts go in the center of the atom?
    5·1 answer
  • Energy from various sources is considered to have been derived from sun.Do you agree?Do justify.
    9·1 answer
  • Identify at least two ways in which heavy rain can affect the efficiency of
    6·1 answer
  • The distance between the sun and moon is 480 light second. convert the distance into meter<br>​
    11·1 answer
  • I have finals! pls help​
    7·1 answer
  • Please solve the Problem.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!