(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 :

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Related Questions

Drag each tle to the correct box
Arrange the solutions of the mathematical expressions from least to greatest according to their values in scientific notation

Answers

MAGAKAKASUNOD NA PO YAN

#CARRYONLEARNING

pa brainliest po thanks

13. This body system regulates body activities using homones. Slow response, tong lasting
A. Respiratory
C. Skeletal
B. Muscular
D. Endocrine

Answers

Answer:

hi

Step-by-step explanation:

Two forces X = 50N and Y = 60 N are acting on a wooden block and it moves to the left as

shown below in figure.

The force which causes motion is ?

how do you simplify this equation?

Answers

Answer:

The answer is B --> [tex]\frac{x^{2} }{3x^{2} -1}[/tex]

How I got that:

These are really easy, you're simply looking for numbers that you can factor down. Like here:

I took:

[tex]\frac{4x^{2} }{12x^{2} -4}[/tex]

and saw that I could factor out 4 from the denominator:

[tex]\frac{4x^{2} }{4(3x^{2} -1)}[/tex]

and then I canceled out the common factor (4 because its on both sides):

[tex]\frac{x^{2} }{3x^{2} -1}[/tex]

And there ya go!

~That's All Folks~

-Siascon

Answer: It's B

Step-by-step explanation:          

            22x2  

Simplify   ————————

           12x2 - 4

4.1     Pull out like factors :

  12x2 - 4  =   4 • (3x2 - 1)

0.2343217 Is it rational or irrational

Answers

Irrational because it can not be written as a fraction

Ok so how can you tell if 2 angles are complementary, vertical, or supplementary? I don't know how to tell and I have pre-algebra hw due tomorrow. ​

Answers

Complementary angles are two angles that add up to 90°

Supplementary angles are two angles that add up to 180°

Vertical angles are two angles that are opposite of each other and are also congruent

NEED HELP PLEASE!!!!!!!

Answers

C
Is the answer
Pls mark brainliest

.can you help please ​

Answers

Answer:

38.81cm³

Step-by-step explanation:

Volume of a sphere = 4/3πr³

Diameter is 4.2

radius= 4.2/2 = 2.1 or 21/10

4/3 × 22/7 × 21/10 × 21/10 × 21/10

= 4851/125

= 38.808

≈38.81cm³

If 2 inches are equivalent to 5 centimeters, how many square centimeters are in one square inch

Answers

Answer:

there are 6.45 or 6.5 square cm in one square inch

Step-by-step explanation:

Find DY if PY= 6
and DP= 10.

Answers

The relationship between sides DY, PY and DP is that they form a right-angled triangle.

The value of side length DY is 8 units

Side length DY can be calculated using the following Pythagoras theorem.

So, we have:

[tex]DP^2 =DY^2 + PY^2[/tex]

Substitute values for DP, DY and PY

[tex]10^2 =DY^2 + 6^2[/tex]

Evaluate the squares

[tex]100 =DY^2 + 36[/tex]

Subtract 36 from both sides

[tex]64 =DY^2[/tex]

Take square roots of both sides

[tex]8 =DY[/tex]

Rewrite as:

[tex]DY = 8[/tex]

Hence, the value of side length DY is 8 units

Read more about Pythagoras theorems at:

https://brainly.com/question/654982

How can I solve for t?

Answers

Answer:

This is not possible with 2 equal symbols

Which value of x makes the equation true 3x-6/3 7x-3/6 ?A. -11 B. -9 C. -3 D. 3

Answers

Answer:im pretty sure its d

Step-by-step explanation:

Last month, an investor's stock portfolio was worth $46,950. The value of the stock portfolio fell by $2,388.50 each week for 4 weeks. What is the value of the stock portfolio at the end of the 4 weeks?

Answers

Answer:

$37,396

Step-by-step explanation:

take 2388.5x4 since there are 4 weeks = $9554

then you subtrct since the portfolio fell.

So $46,950-9554 = $37,396

4. It takes Zack 30 minutes to walk 7.5 blocks to the swimming pool. At this rate, how many blocks can he walk in
one minute?
A. 1 block
30
B. block
7.5
765-30.5775
C. 4 blocks
D.) 5 blocks

Answers

Answer:

He can walk 0.25 blocks in 1 minute

Step-by-step explanation:

If Zack can walk 7.5 blocks in 30 minutes and we are looking for how many blocks he can walk in 1 minute, we will divide 7.5 by 30 as that will be the number of blocks per minute.

7.5/30 = 0.25

When the greatest common divisor and least common multiple of two integers are multiplied, their product is 200. How many different values could be the greatest common divisor of the two integers

Answers

Answer:

k = 1 or 2 or 5 or 10

Step-by-step explanation:

Suppose GCD is k, 2 numbers are kA and kB

LCM is k*A*B,

GCD*LCM: k*(k*A*B) = 200

k² * A*B = 200

A*B could be 1 , 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

k² (k is integer) could be 1, 4, 25, 100

k = 1 or 2 or 5 or 10

What is the length of side AB of the triangle? (1 point)
a 3
b 5
c Square root of 6
d Square root of 13

Answers

Answer 5
Step by step

Sound will travel fastest in air at _____.

Answers

Answer: 15 degrees Celsius

Step-by-step explanation:

Sound travels fastest usually at 25 degrees Celsius when the air is hotter as physics professor Kim strong stated

HI THERE

the answer is 15'C

correct me if I'm wrong

Satoko has 30 tokens to spend at an arcade. The three lines represent the cost of playing Satoko's three
favorite games for various numbers of times.

Answers

Answer:

KOF

Step-by-step explanation:

Khan Academy

Trust me

Answer:

KOF

Step-by-step explanation:

Khan academy

Using ruler and compasses only, construct a parallelogram KLMN, so that KL = 8 cm, LM = 6 cm and angle KLM = 135°.​

Answers

The steps to construct a parallelogram using a ruler and a compass are;

1. Draw a starting line segment l linger than 8 cm.

2. Mark point K on the line segment.

3. Widen the compass to a radius of 8 cm using the ruler.

4. Place the compass at point K and with the 8 cm radius mark point L on the line l.

5. At point L construct a 45° angle as follows;

Draw arcs that intersect line l on both sides of point L.From each of the intersection points, draw arcs that intersect each other on on the upper area adjacent to line l.From the intersection point in the previous step, draw a line to point L to get a perpendicular line to line l.Draw arcs to intersect the perpendicular line and line l on the other side of point L from K.From the points the arc intersects the perpendicular line draw arcs of the same radius to intersect at a point X to the right of the perpendicular line.

The above steps bisects the 90° angle of the perpendicular lines.

Join point X to point L with a straight line to form ∠XLM = 135° (90° + 45° = 135°)

6. Adjust the radius of the compass to give an opening of 6 cm and from point L draw an arc to intersect XL at M.

7. At point M construct a line YM at 45° angle to the line l.

8. From point M draw an arc to intersect YM and label the point as point N.

9. Join point M and N to complete the construction of the parallelogram KLMN.

Learn more about construction using a compass and a ruler here:

https://brainly.com/question/1528158?section=similar

cannot decide which of two washing machines to buy. The selling price of each is ​$. The first is marked down by ​%. The second is marked down by ​% with an additional ​% off. Find the sale price of each washing machine. Use pencil and paper. Explain why should buy the first washing machine rather than the second if the machines are the same except for the selling price.

Answers

You should do 585 × 0.50 to find the markdown. Then subtract the markdown from the selling price to find the sale price.

Step-by-step explanation:

look at this inequality

Answers

the correct answer is choice B

3y-2x-4x+5x+7
please help meeeeeeeeeeee

Answers

Answer:

3y-2x-4x+5x+7

please help meeeeeeeeeeee

[tex]3y-2x-4x+5x+7\\\\=3y-x+7[/tex]

The length of a rectangle is four times its width. If the perimeter of the rectangle is 50 m, find its length and width.

Answers

Answer:

20m

Step-by-step explanation:

let the length be x and the width be y

x = 4y

2x + 2y = 50

2(4y) + 2y = 50 ( since x = 4y )

8y + 2y = 50

10y = 50

y = 5m

x = 4y

x = 4(5)

x = 20

pls mark me the brainliest

FACTORIZE AND Split the middle term: 72 + b - b^2​

Answers

Answer:

- (b - 9)(b + 8)

Step-by-step explanation:

72 + b - b² ← factor out - 1 from each term and rearrange into standard form

= - (b² - b - 72) ← factor the quadratic

Consider the factors of the constant term (- 72) which sum to give the coefficient of the b- term (- 1)

The factors are - 9 and + 8

Use these factors to split the b- term

b² - 9b + 8b - 72 ( factor the first/second and third/fourth terms )

b(b - 9) + 8(b - 9) ← factor out (b - 9) from each term

(b - 9)(b + 8)

Then

72 + b - b² = - (b - 9)(b + 8)

What is the completely factored form of f(x)=x^3+5x^2+4x-6

Answers

Answer:

(x+3)(x^2+2x-2)

Step-by-step explanation:

rewrote the expression

then factor out common numbers, variables, and exponents

What is the LCD of 11/6 and 5/9

Answers

18 is the answer good luck
18 is the lcd of those two fractions

Can someone help me, please? :(((

Answers

[tex]\huge \sf༆ Answer ༄[/tex]

According to given figure ~

Area of whole is equal to :

Area of Triangle + Area of rectangle

And,

Area of Triangle :

[tex] \sf \dfrac{1}{2} ( 7 \times 6)[/tex]

Area of Rectangle :

[tex] \sf7 \times 3[/tex]

Therefore, the Area of whole figure is ~

[tex] \boxed{ \sf (7 \: • \: 3) + \frac{1}{2}(7 \: • \: 6)}[/tex]

So, the Correct choice is ~ A

carl plays a game with his friend. their scores are 2,9,17, 18, and 15. what is the median score of their games? Need answer asap thanks

Answers

Answer:

15

Step-by-step explanation:

Order

2, 9, 15, 17, 18

Find Median Position

Use the formula

[tex] \frac{n + 1}{2} [/tex]

where n is the number of numbers.

Substituting in, 5 + 1 is 6, divided by 2 is 3.

Find the number at the correct position

15

A cylinder has a height of 18 feet.
Its volume is 16,334.28 cubic feet.
What is the radius of the cylinder?

Answers

The answer is 17, Volume = h × π×r^2

Divide by known height from both sides

Divide by pi

square root

a statue of abraham lincoln casts a 9-foot shadow at the same time the white house casts 48-foot shadow . if the white house is 70 feet tall , how tall is the statue of abraham lincoln

Answers

Step-by-step explanation:

let's ignore the question, if the statue can cast an isolated shadow based on its location ...

2 objects and their shadows create 2 similar right-angled triangles.

that means all angles are the same, and the side lengths of one triangle correlate to the corresponding side lengths of the other triangle via the same factor.

so,

48 × f = 9

f = 9/48 = 3/16

therefore, the height of the statue is

70 × f = 70 × 3/16 = 210/16 = 13.125 ft

if y is directly proportional with x and y=180 when x=15,what is the value of x when y=276

Answers

Answer:

23

Step-by-step explanation:

180/15 = 276/x

12 = 276/x

12x = 276

x = 23

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