(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.

(50 Points) Here Are Descriptions Of Four Situations In Which The Volume Of Water In A Tank Isa Function

Answers

Answer 1

Answer:

A = 3

B = 1

C = 2

D = 3

Answer 2

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

Find all the missing angles.
Please help

Answers

1: 51
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!
1. 51
2. 34
3. 95
4. 38
5. 47
6. 74
7. 59

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

Write the fraction 35/42 simplest form

Answers

Answer:

5/6

Step-by-step explanation:

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

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]

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!

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 ^^

Square of the difference of two terms

Answers

Answer:

123-23=100

100^2=100*100=10^4=10000

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.

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:

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]

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

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



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:

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

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

Simplify Simplify 6 - 23 + (-9 + 5) · 2.

Answers

Answer:

The answer is −42

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

The last one y=2x-5 if you plug the points into the x and y values you can see this equation works for both points.

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

Solve the inequality.
D
— < -4
-5

Answers

d>20 should be the answer good luck

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......

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

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

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

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

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

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.

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!

ANSWER PLZZ NO LINKS PORFA

How many miles longer is Trail A than Trail B?

Answers

It is longer by 67 miles you just minus them
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