a tank holds 5000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the v
olume V of water remaining in the tank (in gallon) after t minutes.a) If P is the point (15,1275) on the graph of V, find the slopes of hte secant lines PQ when Q is the point on the graph with the following values.(5, 3410) -427/2(10, 2210) -187(20, 550) -145(25, 145) -113(30, 0) -85B) estimate the slope of hte tangent line at P by averaging the slopes of two adjacent secant lines. (Round your answer to one decimal places).
1 answer:
Answer:
- secant slopes: -213.5, -187, -145, -113, -85
- tangent slope: -166
Step-by-step explanation:
A) the slope values you have put in your problem statement are correct. As you know, they are computed from ...
(change in gallons)/(change in time)
where the reference point for changes is P. Using the first listed point Q as an example, the secant slope is ...
(3410 -1275)/(5 -15) = 2135/-10 = -213.5 . . . . gallons per minute
__
B) The average of the secant slopes for points Q adjacent to P is ...
(-187 +(-145))/2 = -332/2 = -166 . . . . gallons per minute
The tangent slope at point P is estimated at -166 gpm.
You might be interested in
Answer:
The answer is "8(25+x)>500;x>37.50".
Step-by-step explanation:
Please find the complete question in the attached file.
That's why above given choice is correct.
ANSWER: 31.25%
Explaination:
Suppose (x+y) is the binomial distribution with 5 trials. Given that, probability of exactly two success in five trials of a binomial experiment in which the probability of success is 50%.
So, x = 0.5 and y = 0.5
The term
5C2*x²*y³ representing 2 successes and 3 failures.
Now find the value of this term.
5C2*(0.5)²*(0.5)³ = *
=10*0.03125
= 31.25%
Let's call the numerator . Since the denominator is four more than three times the numerator, it means that it equals
. So, the original fraction is
Note that this implies that , otherwise the denominator would be zero. Now, we need to increase both numerator and denominator by 4, obtaining this new fraction:
Note that this implies that , otherwise the denominator would be zero. And we know that this equals 925 (assuming that 925925 is some kind of typo/formatting error). This leads to the equation
Since we assumed that the denominator is not zero, we can multiply both sides by it, so that the equation becomes
Subtract 4 from both sides to get
Subtract 2775x from both sides to get
Finally, divide both sides by -2774 to get