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
scoundrel [369]
3 years ago
10

The equation C = 5 9 F − 160 9 gives the relation between temperature readings in Celsius and Fahrenheit.

Mathematics
1 answer:
Pavel [41]3 years ago
4 0

Step-by-step explanation:

The question is wrong. The correct equation is :

C=\frac{5}{9}F-\frac{160}{9}

We know that the equation gives the relation  between temperature readings in Celsius and Fahrenheit.

Therefore, giving that we know the value in Fahrenheit ''F'' we can find the reading in Celsius ''C''. This define a function C(F) that depends of the variable ''F''.

So for the incise (a) we answer Yes, C is a function of F.

For (b) we need to find the mathematical domain of this function. Giving that we haven't got any mathematical restriction, the mathematical domain of the function are all real numbers.

Dom (C) = ( - ∞ , + ∞)

For (c) we know that the water in liquid state and at normal atmospheric pressure exists between 0 and 100 Celsius.

Therefore the range will be

Rang (C) = (0,100)

Now, we need to find the domain for this range. We do this by equaliting and finding the value for the variable ''F'' :

For C = 0 :

0=\frac{5}{9}F-\frac{160}{9} ⇒ F=32

And for C = 100 :

100=\frac{5}{9}F-\frac{160}{9} ⇒ F=212

Therefore, the domain as relating temperatures of water in its liquid state is

Dom (C) = (32,212)

For (d) we only need to replace in the equation by F=71 and find the value of C ⇒

C=\frac{5}{9}F-\frac{160}{9} ⇒

C=(\frac{5}{9})(71)-\frac{160}{9}

C=\frac{65}{3} ≅ 21.67

C(71) = 21.67 °C

You might be interested in
A plumber took of his pipes and separated them into 5 equal bundles.
Ghella [55]
The correct answer is B.

This is because the denominator in this case, would signify be the number of groups.
4 0
3 years ago
The radius of a circle is 13miles. what is the area of a sector bounded by a 20 degree arc
Stolb23 [73]

Answer:

Area of the sector = 29.48 square miles.

Step-by-step explanation:

Given:

Radius of a circle = 13 miles

Angle bounded by the arc = 20 deg

To find

Area of the sector bounded by 20 degrees.

Note: Area of a sector = \frac{(\theta)}{360}\times \pi\times r^2

Plugging the values in the equation.

⇒ \frac{(\theta)}{360}\times \pi\times r^2

⇒ (\frac{20}{360})\times  3.14\times 13^2

⇒ 29.48 square-miles

So the area of the sector bounded by 20 degree arc is 29.48 square miles.

5 0
3 years ago
How do you pass algebra class
Kamila [148]

Take notes and pay attention since just slacking off for only 10 minutes can get you behind and struggling.

4 0
3 years ago
Arun spends some of the money from his monthly salary on food, travelling
Katarina [22]

Answer:

ummm where is the question anyway?

8 0
3 years ago
Identify the solution(s) of v2+11v−26=0.
miss Akunina [59]

Answer:

i solved for v and got

v = 2, -13

i hope this helps :]

4 0
3 years ago
Other questions:
  • Which is an advantage of using a credit card? You can make purchases even when you don't have cash. You don't indulge in impulse
    13·2 answers
  • -1/2 -(-1/5 to the 2nd power)
    13·1 answer
  • How do you do this. can you show me step by step .
    12·1 answer
  • If x+9.8=14.7, what is the value of 8(x-3.7)?
    13·2 answers
  • Part D
    9·1 answer
  • Please SHOW me how to complete this problem. 50 points<br><br> (10y^3-5y^2-10x+4) ÷(2y-1)
    14·2 answers
  • Change 1 h 25 min 29 s to s.​
    11·2 answers
  • SIMPLIFY THE EXPRESSION 3Y+7+4Y+3
    13·2 answers
  • Show your working and your answer here? Eleri and her friends plan an adventure holiday together. Eleri buys these items for the
    15·1 answer
  • HELP QUICK!! IL MARK YOU BRAINLIEST
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!