(50 points) Here are descriptions of four situations in which the volume of water in a tank is
a function of time. Match each description to a corresponding graph. Each graph
is used only once.
Available Responses:
Graph 1
Graph 2
Graph 3
Graph 4
Situation A: An empty 20-gallon water tank is filled at a constant rate for 3
minutes until it is half full. Then, it is emptied at a constant rate for 3 minutes.
Situation B: A full 10-gallon water tank is drained for 30 seconds, until it is half
full. Afterwards, it gets refilled.
Situation C: A 2,000-gallon water tank starts out empty. It is being filled for 5
hours, slowly at first, and faster later.
Situation D: An empty 100-gallon water tank is filled in 50 minutes. Then, a dog
jumps in and splashes around for 10 minutes, letting 7 gallons of water out. The
tank is refilled afterwards.
Answers
Answer:
A = 3
B = 1
C = 2
D = 3
Situation A is graph 3, situation B is graph 1, situation C is graph 2 and situation D is graph 4.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Situation A :
The water tank is empty at first. So the graph must start at origin.
Tank is filled at a constant rate for 3 minutes until it is half full, that is until it is 10 gallons.
Then the tank is emptied at a constant rate for 3 minutes, which is also 10 gallons.
So the slope must be equal.
And the graph must start from 0 and ends at zero which is graph 3.
Situation B :
Water tank is already full. So the graph must start at higher value in the Y axis.
The only possibility for this is graph 1, since all others starts at origin.
Situation C :
Water tank starts at empty. So the graph starts at 0.
First the rate is slower, then it becomes faster. So there will be an increase in the slope, which is graph 2.
Situation D :
Graph starts at origin since the tank is empty.
Then there is a slight decrease in the water for some time. So the graph turns down slightly, again tank is refilled, so the graph goes up.
Hence each of the graph corresponds to the situation is found.
Learn more about Slope here :
https://brainly.com/question/29283638
#SPJ2
Related Questions
What is an equation in slope-intercept form for the line that passes through the points (1, -3) and (3,1)
y= 3x + 1
y=x-3
y=2x+5
y= 2x – 5
Answers
Simplify Simplify 6 - 23 + (-9 + 5) · 2.
Answers
Answer:
The answer is −42
Can you plsssssssssssssssssssssssssssss help me with this.
Answers
Answer: (-1, 7) should be the answer
Step-by-step explanation:
why did you copy my profile picture hello......
Find the surface area of the cuboid.
Answers
Answer:
62 cm²
Step-by-step explanation:
The surface area (SA) is the sum of the areas of the 6 faces.
The opposite faces are congruent, then
SA = area of front/ back + area of top/ bottom + area of 2 sides
= 2(5 × 3) + 2(5 × 2) + 2(3 × 2)
= 2(15) + 2(10) + 2(6)
= 30 + 20 + 12
= 62 cm²
What property was used in step 1 to arrive at step 2?
Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18.
Answers
Answer:
Distributive Property
Step-by-step explanation:
5(x - 7) = 55 ⇒ 5x - 35 = 55
The 5 was distributed in 5(x-7) to get 5x - 35.
Complete the equation of the line through (2, 1) and (5, -8). Use exact numbers.
Answers
Answer:
y = - 3x + 7
Step-by-step explanation:
( 2 , 1 )
( 5 , - 8 )
m = ( - 8 - 1 ) / ( 5 - 2 ) = - 3
y - 1 = - 3 ( x - 2 )
y = - 3x + 7
Answer I need help plsssssssssssssss??
Answers
Answer:
1. -1/2
2. Graph attached below:
Step-by-step explanation:
1) To find to slope of the line with two points would be the following equation:
[tex]y_{2} - y_{1} / x_{2} - x_{1}[/tex]
So let’s assume our variables and subsitute them to see that the Carma’s Working out is an error.
Form: [tex](x_{2}, y_{2}), (x_{1}, y_{1})[/tex]
[tex]y_{2} = 3[/tex]
[tex]y_{1} = 1[/tex]
[tex]x_{2} = 7[/tex]
[tex]x_{1} = 11[/tex]
[tex]3 - 1 / 7 - 11 = -1/2[/tex]
1. Error one: The point values of the slope aren‘t correctly labeled and are not the same form as in the formula.
2. Error two: The slope output is not correct, it is 2 but the slope is -1/2.
Now let’s get on the graph of Carma’s workout, I can spot that the point (-4, 5) is not plotted correctly. Instead it is plotted (4, -5). To understand clearly I will label these points on a graph, image attached below:
3. Error three: The point (-4, 5) is not plotted correctly, x should be negative and y should be positive.
4. Error four: The slope is not correct, instead the slope of the graph is negative but we need a positive slope.
Now it is time to fix Carma’s mistakes:
1) Slope: -1/2
2) Graph attached below
ANSWER PLZZ NO LINKS PORFA
How many miles longer is Trail A than Trail B?
Answers
Write the fraction 35/42 simplest form
Answers
Answer:
5/6
Step-by-step explanation:
the functions below show the amount of money bella and sweet t had saved after earning money for doing chores
Answers
Answer:
Hello your answer should be: Bella saved more per chore than Sweet T.
Step-by-step explanation:
Hope this helped! :)
Have a great rest of your day!
For every 20 emails that Greg sent in a month, he received 50 emails. What is the ratio in simplest form of the number of emails sent to the number of emails received by Greg that month?
A. 5:2
B. 3:5
C. 2:5
D. 5:3
Answers
Answer:
C. 2:5
Step-by-step explanation:
You can divide both side of the ratio 20:50 by 5 which leaves you with 4:10. You can simplify it again by dividing it by 2 and get 2:5
PLZZZ HELP
Order these numbers from least to greatest.
Answers
Answer:
51/10, 4 and 1/9, 5.116, and 5.98
Step-by-step explanation:
least to greatest
Answer:
4 1/9, 51/10, 5.116, 5.98
Step-by-step explanation:
4 1/9
= 37/9
= 4.111...
51/10
= 5.1
it takes a swimmer 72.54 seconds to swim the 100 meter length of the pool going west what was his velocity.
(MUST show work and formula)
Answers
Step-by-step explanation:
Solution
(s) = 100m
(t) = 72.54s
(v) = ??
We have,
v = s÷t
v = 100 ÷ 72.54
v = 1.37 m/s
Hence, the velocity of the swimmer is 1.37 m/s
[this is how I personally have to do it but not sure about you]
By which rule are these triangles congruent?
АА
SAS
SSA
AAS
Answers
Answer:
it's AAS is my opinion
Step-by-step explanation:
Answer:
AAS
Step-by-step explanation:
we can eliminate two of the answer choices from the start. AA and SSA do not prove triangle congruence. we are then left with SAS and AAS. we can see that there is one pair of sides and one pair of angles marked congruent on the triangles. the triangles are formed by intersecting lines which form vertical angles. according to the vertical angles theorem, those two angles will be congruent. therefore, these triangles are proven congruent by AAS. hope this helps!
WILL REWARD BRAINLIEST!!! plz :,) this is my last question:(( 50 POINTS!!!! Hellppp me with this!!!! Click to view whole pics!!! If you can view it it basically says : You are making several purchases from the B-Better Electronics store. You can buy from this store online or in a physical store. You have a coupon for 20% off that can only be used in the physical store and a $20.00 off coupon that can only be used online. The sales tax of 7.5% only applies to the physical store.
Shipping for the online store is a flat rate of $8.99 or free for purchases over $75.00. Using the information below, which way of purchasing would save you the most money?
B-better electrics store:
Headphones. 1 pair. 14.99/e
DVDs 4dvds 13.95/e
CDs. 2cds. 9.85/e
————————————————-
Online store:
Headphones 1 pair. 13.50/e
DVDs. 4dvds 14.99/e
CDs. 2cds. 10.99/e
————————————————-
Answers
Answer:
77.82 $ will be paid at physical Store
Step-by-step explanation:
Item Quantity Physical Store Online Store
Headphones 1 pair $14.99/ea $13.50/ea
DVDs 4 DVDs $13.95/ea $14.99/ea
CDs 2 CDs $9.85/ea $10.99/ea
Cost Price = 14.99 + 4 * 13.95 + 2 * 9.85
= 90.49 $
20% off Coupon = (20/100)90.49 = 18.1 $
Amount after Coupon = 72.39 $
7.5% sales Tax = (7.5/100)72.39 = 5.43$
Amount with Tax = 72.39 + 5.43 = 77.82 $
77.82 $ will be paid at physical Store
Answer:
Step-by-step explanation:
i want points thanks
2+2+9+9+9+9+7+7+6-8-6+7+8+9+8+9+0+9+8+9
Answers
Answer:
The answer is 113.
Answer:
141
Step-by-step explanation:
There are 8 nines: 9×8=72
There are 3 sevens: 7×3=21
There are 4 eights: 8×4=32
6×2=12
2×2=4
All together you get
What is the y-intercept of the graph of the function f(x) = x2 3x 5?.
Answers
Answer:
f(x) =x2 3x 5?
c = 5
therefore the solpe = 5
how much is 3 liters in 50 bottles
Answers
Answer : 0.06 liters per bottle
Step - by - step explanation :
3 liters divided by 50 bottles = 0.06 liters per bottle
[ Sorry if this wasn't what you meant when you asked the question ]
Happy holidays ! :3
ASAP HELP PLEASE SHOW ALL WORK AND PLEASE NO LINKS
Answers
Answer:
the triangle always equals 180.
so divide it right?
Refer to the attachment
Write an equation of the line that passes through (7,10) and is perpendicular to the line y=1/2x−9.
Answers
y = -2x + 24
hope this is helpful!
Answer:
y+2x=24
Step-by-step explanation:
the equation of the line: y=1/2x -9
Get the slope by using derivative:
dy/dx= 1/2
dy/dx= slope of the normal line
Since we are looking for slope of the tangent line:
Use Mn=-1/Mt
The slope of the tangent line is -2
Using point slope form:
(y-y1)=m(x-x1) ; where x1=7, y1=10, and m=-2
y-10=-2(x-7)
y-10=-2x+14
ANSWER: y+2x=24
Solve the inequality.
D
— < -4
-5
Answers
2x+5y>−6
−4x+3y≤2
Is (-1,7)(−1,7)left parenthesis, minus, 1, comma, 7, right parenthesis a solution of the system?
Answers
Answer:
No
Step-by-step explanation:
Khan told me ;p
Answer:
No
Step-by-step explanation:
Find all the missing angles.
Please help
Answers
2: 34
3: 95
4: 38
5: 47
6: 74
7: 59
Hope this helps!
Brainliest and a like is much appreciated!
Comment if you want a explanation!
2. 34
3. 95
4. 38
5. 47
6. 74
7. 59
PLEASE HELP ME!!!!!!!
Answers
Answer:
The answer is B
Step-by-step explanation:
The answer would be B because the domain of a function is always all real numbers.
I need help with this
Answers
Answer:
If the bottom is 14 it's 6 and 8
Square of the difference of two terms
Answers
Answer:
123-23=100
100^2=100*100=10^4=10000
The logarithmic expression [tex]log_{b}(\frac{1}{b^{-b}} )[/tex] where b > 0, is equal to
a) [tex]b^{-b}[/tex]
b) [tex]b^{b}[/tex]
c) [tex]-b[/tex]
d) [tex]b[/tex]
Answers
[tex]\log_b \left(\dfrac 1{b^{-b}}\right)\\\\=\log_b (b^{-b})^{-1}\\\\=\log_b b^b\\\\=b \log_b b\\\\=b \cdot 1\\\\=b[/tex]
can someone tell me if i did this right lol
Answers
Answer:
Your calculation is correct, but I'd answer 33.0 in.
Step-by-step explanation:
You are correct. Good job.
Answer:
I'm 96% sure its right, and those are pretty good odds ^^
Write a function for the line with a slope of 5 that passes through the point (2, 1). Enter the correct equation in the box.
Answers
Answer:
brainly
Step-by-step explanation:
Unit 1C Quiz
3 of 83 of 8 Items
Question
An Uber driver charges a flat fee of $5.50, plus $1.50 per mile. Which of the following equations represents the total cost y of a ride that is x miles long.
a. y=1.5+5.5
b. y=4x
c. y=5.5x +1.5
d. y=7x
Answers
Answer:
y = 1.5x + 5.5
Step-by-step explanation:
None of them are correct. The correct answer, y = 1.5x + 5.5, is not listed.