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
Readme [11.4K]
3 years ago
8

Let t be time in seconds and let r(t) be the rate, in gallons per second, that water enters a reservoir: r(t)=700−40t. a) For 0≤

t≤30, when does the reservoir have the most water ? b) For 0≤t≤30, when does the reservoir have the least water
Mathematics
1 answer:
Flura [38]3 years ago
7 0
What you don't want is the value of r(t) becoming negative. Surely that would represent water escaping the reservoir.

How big can (t) get before water actually starts escaping the reservoir?

Essentially, to figure this out r(t) would have to be equal to 0. 

700 - 40t = 0

40t=700

t=700/40=17.5

So the first answer is 17.5 seconds. After this amount of time has elapsed the reservoir will start to lose water as r(t) would become negative.

---------------

The reservoir had the least amount of water in it before it was being filled. That was when t=0. The volume of water in the reservoir wasn't negatively impacted as not enough water had escaped it during the 17.5 to 30 second period.
You might be interested in
<img src="https://tex.z-dn.net/?f=%28%20%5Cfrac%7B1%7D%7B2%7D%29%5E%7B2%7D%20" id="TexFormula1" title="( \frac{1}{2})^{2} " alt=
Vladimir79 [104]
All you need to do is solve it
\frac{1}{2} ^{2} or \frac{1}{2}  x \frac{1}{2}
When solved your answer is 0.25 or 1/4
------------------------
What I did to solve it was....

1. Divide top fraction by bottom fraction to get decimal
1 ÷ 2 = 0.5

2. Then multiply 0.5 by its self (the same as putting it to the ^2)
0.5 x 0.5 = 0.25
5 0
3 years ago
Are the graphs of each pair of equations parallel, perpendicular, or neither? x=4 y=4
Vlad1618 [11]

Both graphs x =4 and y =4 will be perpendicular to each other.

  • The graph of x = 4 is a vertical line down the Graph scope
  • The graph of y =4 is a horizontal line side the Graph scope.

Both the Lines will meet exactly at ( 4, 4 ) perpendicularly at each other both of them intersecting at 90 degrees.

Vertical and Horizontal lines are perpendicular to each other (90 Degrees).

Know more about Perpendicular Lines: brainly.com/question/1202004

5 0
1 year ago
Read 2 more answers
A triangle has base angles of 52.5 degrees each. What is the measurement of the third angle?
guajiro [1.7K]

Answer:

The answer is 75 degrees

Step-by-step explanation:

All triangles interior angles will at up to 180. 52.5+52.5= 105. 180-105= 75 degrees.

3 0
3 years ago
In 2006,the General Social Survey (which is conducted uses a method similar to simple random sampling) included a question that
mars1129 [50]

Answer:

Assumptions are not met. Can not make confidence interval.

Step-by-step explanation:

In the General Social Survey, sample size is 1514.

The proportion of those who see themselves social is \frac{470}{1514} ≈ 0.31

To give an 95% confidence interval, we should be able to calculate margin of error of the sample mean, which is given by the formula

M±z*\frac{s}{\sqrt{N} }  where M is the mean of the sample (in the General Social Survey it is 0.31), z is z-score for the 95% confidence level(approx. 1.94), s is the standard deviation of the sample, N is the size of the sample(in this example it is 1514).

Since we don't know the standard deviation of the sample, we cannot give a confidence interval.

8 0
3 years ago
Which regular polygon, when rotated 180 degrees about its center, may not be carried onto itself ?
prohojiy [21]
The polygon that when rotated at 180 degrees about it's center may not be carried onto itself is a quadrilateral. The reason being quadrilateral is not regular in the sense that different sides have different measures.
5 0
3 years ago
Other questions:
  • 11-13 answers plssssss
    6·2 answers
  • Which of the following describes the graph of y=\sqrt[3]{8x-64}-5 compared to the parent cube root function?
    12·2 answers
  • Forty-five people were asked about how many miles they walked in one week. The results are shown in the graph. How does the medi
    11·2 answers
  • Help Awnser Correctly Please
    9·1 answer
  • Assume the exponential growth model ​A(t)equals=Upper A 0 e Superscript ktA0ekt and a world population of 5.95.9 billion in 2006
    9·1 answer
  • Please help with this question please and will mark you brainliest so please help​
    5·1 answer
  • 4.0/5.7=1.8/x what is the answer for u smart people
    10·2 answers
  • 7)
    15·1 answer
  • I will mark you brainiest if you can answer this
    6·1 answer
  • Can someone help me on this one please
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!