3. A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank at a rate of liters per minute. The tank also has a drain that allows solution to leave the tank at a rate of liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute?
(b) What is the change in volume of the solution after 15 seconds? Show necessary work.
(c) What does the change in volume after 15 seconds mean in the real world? Answer in complete sentences.

Answer:

19.0

Step-by-step explanation:

19.0 is the correct answer.

Hello, hope you are having a nice day.

e=2.718281828...

e^7 means e times e times e times e times e times e times e.

The approximate answer is

1096.6

I hope it helps. Please mark brainliest!

~An emotional teen who helps others with joy

Good luck.

Answer:

Kim and Zara are correct.

Step-by-step explanation:

Correct simplification:

-3(x+4) - 2(5x-6)

-3x + (-12) - 10x + 12

-3x - 12 - 10x + 12

- 13x

Answer:

1 is 13

2 is 13

3 is -7

4 is 7

Step-by-step explanation:

Answer:

52.083

Step-by-step explanation:

1 min = 4.8 calories

? min=250calories

at the age speed

250/4.8 calories

=52.083min

Answer:

It's a parabola with a minimum.

C(x)= 500,000 + 80x + 0.003x^2

C'(x) = 80 + 0.006x = 0

x = 80/0/006 = 13,333 units

Step-by-step explanation:

A company that produces chemicals used in manufacturing sells a certain product for $200 per unit. The total production cost for the product is

C(x)= 500,000 + 80x + 0.003x^2

The company can produce no more than 30,000 units during a given time period. How

many units of the chemical product should be manufactured and sold to maximize profit?

Answer:

  see the attachments for the graphs

  1. y = 1/4x +4 1/4

  2. y = -5/9x +7/9

Step-by-step explanation:

The relevant formulas are ...

  m = (y2 -y1)/(x2 -x1) . . . . . slope of line through points (x1, y1), (x2, y2)

  b = y -mx . . . . . . . . . . . . . y-intercept of a line with slope m through point (x, y)

  y = mx + b . . . . . . slope-intercept equation of the line

__

Points (3, 5), (-1, 4)

  m = (4 -5)/(-1 -3) = -1/-4 = 1/4

  b = 4 -(1/4)(-1) = 4 1/4

Equation of the line: y = 1/4x + 4 1/4

__

Points (-4, 3), (5, -2)

  m = (-2-3)/(5 -(-4)) = -5/9

  b = 3 -(-5/9)(-4) = 3 -20/9 = 7/9

Equation of the line: y = -5/9x +7/9

Step-by-step explanation:

the slope of the line is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

the trick in such a situation is to find good points on the chart that are crossed by the line. and by "good" I mean points with round integer coordinates.

I see 2 such points :

(-2, 3) and (0, -3)

x changes by +2 (from -2 to 0)

y changes by -6 (from 3 to -3)

the slope is -6/+2 = -6/2 = -3

Answer:

5$

Step-by-step explanation:

5 divided by 175 is 35

5x35 is 175

Answer:

270°

Step-by-step explanation:

∠ PQR = 90° ( angle in a semicircle )

PRST is a cyclic quadrilateral

The opposite angles in a cyclic quadrilateral are supplementary, sum to 180°

Then

∠ PRS + ∠ PTS = 180°

∠ PQR + ∠ PRS + ∠ PTS = 90° + 180° = 270°

Answer:

I think it's B.

Step-by-step explanation:

:)

Answer:

Each student get 3/4 cups.

Step-by-step explanation:

15÷20=0.75

turn into fraction

3/4

I answer this question before

Answer:81

Step-by-step explanation: it is skip by 3x so 21 x3 = 81

:)

The kind of text structure that was utilized by William Kamkwamba in the story, "The Boy Who Harnessed the Wind" is the Sequential text structure.

William Kwakwamba began with the day the windmill first generated electricity because it was remarkable and is, therefore, the first detail to note in the story.

To understand why this is the right text structure, we need to first understand what text structure is and the characteristics of a sequential structure.

Text structure refers to the organization of writing to convey intended meanings.

The sequential text structure follows these processes:

Thus given these explanations of what the sequential text structure is, we can classify the excerpt from William Kamkwamba's "The Boy Who Harnessed the Wind" as sequential.

Learn more about text structure here:

https://brainly.com/question/12053427

Answer:yes

Step-by-step explanation:

Answer:

The Scuba diver is 21 feet below sea level

Step-by-step explanation:

I took the test and it was this

The position of the scuba diver relative to sea level is 17 feet below surface.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =

Given that, A fish swims 4 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −34 feet.

Let the position of the fish is at x feet from surface of the ocean

Therefore, the position of scuba diver = x-4

Since, the fish dives double its depth, therefore, new position of diver = 2(x-4)

According to question,

2(x-4) = -34

2x-8 = -34

2x = -26

x = -13

Therefore, the position of the diver = -13-4 = -17

Hence, the position of the scuba diver relative to sea level is 17 feet below surface.

For more references on equations, click;

https://brainly.com/question/29657983

#SPJ2

Answer:

52

Step-by-step explanation:

6+7=13

6:7=13

x:28

28/7=4

so you have to multiply by 4

4x6=24

24 boys and 28 girls

24+28=52

Answer:

52

Step-by-step explanation:

Lets put the ratio like this: 6x (boys) : 7x (girls)

because we know that the amount of girls is 28 we can set them equal as so:

7x = 28

÷ divide both sides by 7

x = 4

now add 6x + 7x to get the total people = 13x and because x equals 4, we can multiply 13 by 4. Which is 52

HOPE THIS HELPS :)

Answer:

[tex]y= -3x+9[/tex]

Step-by-step explanation:

We can easily see from the graph that the equation intersecs the x-axis at p=3 and the y-axis at q=9. Now there is a trick to quickly write the equation in these situations, and it is

[tex]\frac xp + \frac yq = 1[/tex] where p and q are the length of the segments (with their sign!!) the line cuts from the origin.

At this point, it's just a matter of writing the equation in the wanted form:

[tex]\frac x3 + \frac y9 =1\\9\frac x3 + y = 9\\y= -3x+9[/tex]

Which is the equation you want.

If you prefer a more traditional approach, you can determine the slope right away by noticing that when the y coordinate moves from 9 to 0, ie it decreases by 9, the x coordinate goes from 0 to 3, and the slope is [tex]m= {\Delta y \over \Delta x} = {{-9}\over{3}} = -3[/tex]

Answer:

it is D

Step-by-step explanation:

Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is  y = − 1 .  Horizontal Asymptote:  y = − 1

Let it be x

ATQ

[tex]\\ \sf\longmapsto \dfrac{x}{6}+200=\dfrac{x}{2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{x}{2}-\dfrac{x}{6}=200[/tex]

[tex]\\ \sf\longmapsto \dfrac{3x-x}{6}=200[/tex]

[tex]\\ \sf\longmapsto 2x=1200[/tex]

[tex]\\ \sf\longmapsto x=600[/tex]

Answer:

what one?

Step-by-step explanation:

Step-by-step explanation:

7×5÷25×100÷300

25÷5=5

7×5×100÷300

300÷100=3

7×5×3=105

Answer:

$875.00

Step-by-step explanation:

You multiply 1250 by .3 to get 375. Then you subtract that from your total to get your sale price. Hope this helps :))

Answer:

yes

Step-by-step explanation:

Step-by-step explanation:

2 things to remember for problems like this :

the sum of all angles in a triangle is always 180 degrees.

the law of sines :

a/sin(A) = b/sin(B) = c/sin(C) or upside-down (whatever fuss the situation better), with the sides being always opposite of the angles.

so, now for the given problems :

4.

x/sin(90) = 12/sin(29)

x/1 = x = 12/sin(29) = 24.75198408...

rounded x = 24.8

5.

the opposite angle of x is

180 - 90 - 16 = 74 degrees.

x/sin(74) = 37/sin(90) = 37

x = 37×sin(74) = 35.56668275...

rounded x = 35.6

6.

the opposite angle of x is

180 - 90 - 58 = 32 degrees.

x/sin(32) = 22/sin(58)

x = 22×sin(32)/sin(58) = 13.74712574...

rounded x = 13.7

7.

the opposite angle of 15 is

180 - 90 - 51 = 39 degrees.

x/sin(51) = 15/sin(39)

x = 15×sin(51)/sin(39) = 18.52345735...

rounded x = 18.5

Answer:

the nearest square inch is 50

Answer:

Step-by-step explanation:

To SUBTRACT fractions with like or the same denominator, just subtract the numerators then copy the common denominator. Always reduce your final answer to its lowest term.

Answer:

43.20

Step-by-step explanation:

I looked up what is 8% of 40 then added it to 40

Step-by-step explanation:

the item sold $40

the sales tax 8%

8/100*40

3.5