20 pointsA vat contains 18 gallons of liquid when a drain pipe opens and the liquid begins to leave the vat at a rate of 4 gallons per hour.
Use the Line Tool to graph the amount of liquid remaining in the vat at any hour, x.
Answers
Step-by-step explanation:
Let x be the number of hours.
We have been given that a vat contains 18 gallons of liquid when a drain pipe opens and the liquid begins to leave the vat at a rate of 4 gallons per hour.
To graph the amount of liquid first of all we will find the equation of line for our given situation.
Since we know that equation of a line in slope-intercept form is: , where, m = slope and b = y-intercept or initial value.
As liquid is leaving the vat at a rate of 4 gallons per hour, this means that amount of liquid in vat in decreasing 4 gallons per hour. As slope is also known as rate of change, so slope of our given line will be -4. A negative slope means that with each increase in x our y will decrease by 4.
As initially there were 18 gallons of liquid in vat, so our y-intercept will be 18.
Upon substituting our given values in slope-intercept form of equation we will get,
Let us find x-intercept by substituting y=0 in our equation.
Now we will draw a line connecting our y-intercept and x-intercept from (0,18) to (4.5,0).
Please find the attachment for the graph of the given line.
Related Questions
Tom just received a credit card with an introductory APR of 0% for nine months and a credit limit of $500. The APR for purchases after the introductory period is 19.9%. The penalty APR is 24.9% and the APR for cash advances is 20.4%. Tom uses his card at the mall and spends $360. If Tom wants to have a balance of $0 before his introductory period expires, what monthly payments should he make?
The steps below show the incomplete solution to find the value of x for the equation 5x – 3x – 5 = –3 + 23:Step 1: 5x – 3x – 5 = –3 + 23 Step 2: 5x – 3x – 5 = 20 Step 3: 2x – 5 = 20 Which of these is most likely the next step?
According to the Ruler Postulate, what does the set of points on any line correspond to?A: real numbers B: natural numbers C: rational numbers D: irrational numbers
R=11+8r=29 Please Helpppp me
Answers
Step-by-step
5225 ÷ 5,5 = 950
Answers
Next, you would plug in what you have. So right now you have the circumference. So 112=2πr.
Last what you would do is divide each side by πr so you would end up getting:
112/2π=r
By doing that equation, you would get the radius so you would just multiply your answer by 2.
The diameter is 351.86 inches
(I know the answer is 2, the thing I don't know how to do correctly is showing my work)
Answers
4^(12-4x) =256
First we need to take log of both sides
log(4^-4x+12) = log (256)
(-4x + 12)(log(4)) = log(256)
so now we have
-4x + 12 = log(256)/log(4)
-4x + 12 = 4
-4x = 4 - 12
-4x = -8
x = -8/-4
x= 2
I hope that's help :)
Answers
3 to 5
3
-----
5
First we will divide to see who many sets of orange there are in the bag.
24 ÷ 3 = 8
Since there are 8 sets of orange we will multiply8 by 5 since for every 3 orange marbles there are 5 blue marbles.
8 × 5 = 40
SO, a bag contains 24 orange marbles and 40 blue marbles.
Hope i helped ya!
Answers
Answer:
8 cubes are painted on 3 sides
24 cubes are painted on 2 sides
22 cubes are painted on 1 sides
6 cubes are painted on 0 side
E = 3 * 8/60 + 2 * 24/60 + 1 * 22/60 + 0 * 6/60 = 47/30 = 1.567