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
JulsSmile [24]
2 years ago
9

Average Temperatures Suppose the temperature (degrees F) in a river at a point x meters downstream from a factory that is discha

rging hot water into the river is given by
T(x) = 160-0.05x^2
Find the average temperature over each interval.
a. [0, 10]
b. [10, 40]
c. [0, 40]
Mathematics
1 answer:
mr Goodwill [35]2 years ago
6 0

Answer:

Step-by-step explanation:

Average Temperatures Suppose the temperature (degrees F) in a river at a point x meters downstream from a factory that is discharging hot water into the river is given by

T(x) = 160-0.05x^2

a. [0, 10]

For x = 0

T(0) = 160 - 0.05 × 0^2

T(0) = 160

For x = 10

T(10) = 160 - 0.05 × 10^2

T(10) = 160 - 5 = 155

The average temperature

= (160 + 155)/2 = 157.5

b. [10, 40]

For x = 10

T(10) = 160 - 0.05 × 10^2

T(10) = 160 - 5 = 155

For x = 40

T(10) = 160 - 0.05 × 40^2

T(10) = 160 - 80 = 80

The average temperature

= (80 + 155)/2 = 117.5

c. [0, 40]

For x = 0

T(0) = 160 - 0.05 × 0^2

T(0) = 160

For x = 40

T(10) = 160 - 0.05 × 40^2

T(10) = 160 - 80 = 80

The average temperature

= (160 + 80)/2 = 120

You might be interested in
Which statement is true about exponential functions?
Lapatulllka [165]
First you have to sketch out the graph for both the exponential function and the logarithmic function.
Then you will see that the first statement and the second statement is incorrect
Hence the third statement is the correct statement where the x values of the logarithmic function are the y values of the exponential function.
5 0
2 years ago
Given cos x =12/13 And sin x = 5/13<br> what is ratio for tan x
RideAnS [48]
Its 5/12 you just divide sin by cos to get tan so divide 5/13 by 12/13 and you'll get tan
6 0
3 years ago
Read 2 more answers
Mila graphs the point A
melamori03 [73]
Answers:
B. <span>The x-coordinate of point A is 5.
</span>E. <span>Point A is on the x-axis.
</span>
Explanation:
Any point drawn on the coordinates has the general notation of (x,y).
The given point is (5,0). This means that:
The x-coordinate of the point is 5
The y-coordinate of the point is 0

Now, let's check the place of this point.
The x-coordinate of the point is 5. This means that we will move 5 points to the right of the origin on the x-axis
The y-coordinate of the point is 0. This means that we will not move along the y-axis which means that the point stays on the x-axis.

Now, comparing the deduced results with the given choices, we will find that the correct choices are B and E

Hope this helps :)
6 0
2 years ago
I need help please and thank you
Ivenika [448]

Answer

263/999                                                                                                                                                          

Step-by-step explanation:

3 0
2 years ago
Which equation describes the graph? (In the photo)
maw [93]

Answer:

C. The slope is 3 and the y-intercept is -3

3 0
3 years ago
Other questions:
  • What is the unit rate for 644.8 ft in 31 s?
    5·2 answers
  • An inspector inspects large truckloads of potatoes to determine the proportion p in the shipment with major defects prior to usi
    14·1 answer
  • Three fourths of a number p less subtracted by 2 is 5 sixths of a number r plus 5
    5·1 answer
  • Can someone please help me with this?
    9·2 answers
  • Jayden gets a piece of candy for every 15 minutes he spends reading each day. The number of pieces of candy he receives each day
    7·1 answer
  • There are 40 girls and 32 boys who want to participate in the relay race. If each team must have the same number of girls and bo
    7·1 answer
  • Two tracking stations are on the equator 158 miles apart. A weather balloon is located on a bearing of N42°E from the western st
    11·2 answers
  • Help!! it's due by midnight and i can't figure this out
    5·1 answer
  • Please help if possible ❤️
    14·2 answers
  • Anthony has 115 books in his room he is storing them in boxes each box holds 17 books how many boxes does Anthony mean​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!