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
andreev551 [17]
3 years ago
14

When draining her hot tub, the height of the water in Brittany’s hot tub decreases at a rate of 2 inches per minute. After 9 min

utes there are 11 inches of water in the tub. Assume that the height is decreasing at a constant rate.
a. Write an equation for the height of water left in the tub (h) as a function of the number of the minutes (t) that have elapsed.

b. What values of the domain, t, make sense? Why?

c. What values of the range, h, make sense? Why?
Mathematics
1 answer:
N76 [4]3 years ago
5 0

Step-by-step explanation:

a.

Let's give the starting amount of water as s. Every minute, 2 inches of water are lost, meaning that given the starting amount, s, we subtract 2 inches from s every minute, so s - 2 every minute = height of water left, so s - 2t (t representing minutes) = h

To figure out s, we simply plug our known value -- 9 minutes in and 11 inches left. s - 2(9) = 11, s-18=11, s= 29

29 - 2t = h

b. We know that we cannot have negative minutes, so the minimum amount of time that makes sense is 0. To figure out the maximum, we stop counting how much time has occurred when there is no water left, so we have to figure out when h = 0

29-2t = h = 0

t=14.5

Therefore, anything between 0 and 14.5 minutes makes sense

c. Anything between 0 and 29 makes sense because the height of water cannot be negative and we cannot get higher than the starting amount

You might be interested in
What is the y-intercept of the line?<br><br> x 16 24 32<br> y 44 64 84
Shtirlitz [24]

Answer:

The y-intercept of the line is 2

Step-by-step explanation:

You could try to find the slope of the line and then find the intercept with y axis by sloving b = y - ax

But here it seems easy enough once you see that the x values in the table increase by a factor of 8 and the y values in the table increase by a factor of 20.

(By the way, this is enough to give you the slope, because it is 8/20 ). But why bother?

Just extrapolate the table to the left, and you will find the y value where x = 0

x 0 8 16 24 32

y 2 22 44 64 84

So the y-intercept of the line is 2.

Extra:

The full equation of the line is:

y = 8/20x + 2

3 0
3 years ago
Read 2 more answers
HELP ILL GIVE BRAINLIEST
Nikolay [14]

Answer:

-5/7

Step-by-step explanation:

Do you want one?

7 0
3 years ago
Read 2 more answers
PLZ HELP URGENT
Taya2010 [7]

Answer:

Larceny is a specific intent crime against possession not ownership. Exceptions that exculpate (reasonable or unreasonable): Claim of Right, ...

Step-by-step explanation:

Robbery, like theft, involves taking someone's property without the owner's consent, but it has some elements that theft doesn't require. Robbery

8 0
2 years ago
The sale price of shrimp at a local grocery store is $1.15 for the first ounce and $0.95 for each additional ounce. Which functi
Aleksandr [31]
Option A. y = 1.15 + 0.95x

1.15 is a fixed cost and 0.95 is a variable cost that has to be multiplied by the number of ounces of shrimp, x.
5 0
3 years ago
What is the equation, in point-slope form, of the line that is
svlad2 [7]

Answer:

Step-by-step explanation:

this does not make since please wright it agina so we can understand it better.

3 0
3 years ago
Other questions:
  • An artist to no the area of a mural that is 1 and 3/4 by 2 and 5/8 what is the area in square yards
    7·1 answer
  • Solve the equation -5 = c/7
    14·2 answers
  • What is the rational number equivalent to 3.12?
    15·1 answer
  • Write an exponential growth function to model the situation. A population of 422,000 increases by 12% each year.
    11·1 answer
  • How do I find the slope if a line when y=4x+5
    9·1 answer
  • 4.5+n is it rational or irrational
    9·1 answer
  • A family of 3 got 3 entrees, and 2 desserts, what is the probability that they might get the cake, and chicken dumplings?​
    14·1 answer
  • Please solve for x!!!!
    9·1 answer
  • What is 5.989 in scientific notation
    6·1 answer
  • Solve for X and round to the nearest tenth
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!