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
IgorLugansk [536]
3 years ago
14

At 12pm, the temperature was 57o F. By 5pm, the thermometer read 36o F. Assuming a constant change in temperature, calculate and

interpret the unit rate of change (slope).
Mathematics
1 answer:
BaLLatris [955]3 years ago
6 0

Answer:

Unit rate of change = -4.2°F/hour

Step-by-step explanation:

Assuming a constant rate of change, a relationship between the change of temperature as a function of time (in hours) can be described as follows:

r= \frac{(36^oF - 57^o F)}{17 - 12}\\r= \frac{-4.2^o F}{hour}

There is a temperature drop from 12pm to 5pm, which explains the rate of change being negative. This rate means that at every hour that goes by, the temperature drops by 4.2 degrees.

You might be interested in
Given: cos θ=-4/5, sin x = -12/13, θ is in the third quadrant, 
USPshnik [31]

By definition of tangent,

tan(2<em>θ</em>) = sin(2<em>θ</em>) / cos(2<em>θ</em>)

Recall the double angle identities:

sin(2<em>θ</em>) = 2 sin(<em>θ</em>) cos(<em>θ</em>)

cos(2<em>θ</em>) = cos²(<em>θ</em>) - sin²(<em>θ</em>) = 2 cos²(<em>θ</em>) - 1

where the latter equality follows from the Pythagorean identity, cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1. From this identity we can solve for the unknown value of sin(<em>θ</em>):

sin(<em>θ</em>) = ± √(1 - cos²(<em>θ</em>))

and the sign of sin(<em>θ</em>) is determined by the quadrant in which the angle terminates.

<em />

We're given that <em>θ</em> belongs to the third quadrant, for which both sin(<em>θ</em>) and cos(<em>θ</em>) are negative. So if cos(<em>θ</em>) = -4/5, we get

sin(<em>θ</em>) = - √(1 - (-4/5)²) = -3/5

Then

tan(2<em>θ</em>) = sin(2<em>θ</em>) / cos(2<em>θ</em>)

tan(2<em>θ</em>) = (2 sin(<em>θ</em>) cos(<em>θ</em>)) / (2 cos²(<em>θ</em>) - 1)

tan(2<em>θ</em>) = (2 (-3/5) (-4/5)) / (2 (-4/5)² - 1)

tan(2<em>θ</em>) = 24/7

4 0
3 years ago
A Ball bounces several times after
Nadya [2.5K]
After you hit the ball a couple of times or one big hit and just leave the ball bouncing
3 0
3 years ago
Use a calculator to find the standard deviation of this data set:
Rashid [163]

Answer:

3.5

Hope this helps!

4 0
3 years ago
Read 2 more answers
Can someone help me?
maria [59]
The answer is 5. 
10/2=5
Rise over run :)
6 0
3 years ago
Read 2 more answers
Aswer the whole page for 28 points
Artist 52 [7]
The picture is extremely blurry, could you write out some of the answers?
6 0
2 years ago
Other questions:
  • The cost of a car rental is twenty-five dollars a day plus ten cents a mile. What is the total cost, in dollars, if the car is r
    6·1 answer
  • Which one is larger and why 12 x 3/7 or 6 x 3/7
    9·1 answer
  • What is the formula for the following arithmetic sequence? 12, 6, 0, -6, ...
    9·2 answers
  • How long will it take a seal swimming at a speed of 8 miles per hour to<br> travel 52 miles?___hours
    9·1 answer
  • I need help plz and I have to show work
    12·1 answer
  • The graphed system represents the rate at which two trucks are being filled, where x represents the time in minutes and y repres
    7·1 answer
  • Kelly earns $23.00 for 4 hours of work. At that rate, how long would she have to work to earn $57.50?
    13·2 answers
  • Fill in the blanks below.
    15·1 answer
  • 8. Find the value of<br> 8^x/2^y<br> if 3x - y = 4,
    9·1 answer
  • The coordinates of one endpoint of a line segment are (-3,-5). The line segment is 11 units long. What are the other possible en
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!