Task: Use the following situation to answer Parts A and B Instructions At noon, a tank contains 100 gallons of water. The table shows the input and output of water from pipes A, B, and C. The pipes begin operating simultaneously at noon. A B C Pipe Flow IN (gallons per minute) a (2) = 172 6(2) = 80 Flow OUT (gallons per minute) c (2)=30r Complete each of the 2 activities for this Task. Activity 1 of 2 Let T (2) represent the amount of water in the tank x minutes after all of the pipes A, B, and C are opened. Which of the following functions represents T (x)? O A T (2) = 100 + a(z) +b(2) - c(x) OCT (x) = 100 + a (x) +b(2) + c(2) OBT () = a (x) + b() +(2) ODT (2) = a (x) +b(x) - c(:) Activity 2 of 2 Using the equation, after how many minutes will the tank be empty?​

Answers

Answer 1

Answer:

1. Option C2. Never

Step-by-step explanation:

Refer to attached for the table and clearer version of the question

As per table A and B pipes feed the tank and C is the outlet

Considering initial volume of 100 gallons, the amount of water in the tank after x minutes is:

T(x) = 100 + a(x) + b(x) - c(x), this is option C.

We can calculate when tank is going to be empty:

0 = 100 + 25x + 10x - 30x0 = 5x + 1005x = -100x = -20

Since we got negative number, the tank is not going to be empty when all 3 pipes are open.

Task: Use The Following Situation To Answer Parts A And B Instructions At Noon, A Tank Contains 100 Gallons
Answer 2

The function which represent T (x) for the tank which contains 100 gallons of water and input and output of water from pipes A, B, and C is,

[tex]T(x)=100+a(x)+b(x)-c(x)[/tex]

The tank will not be empty when all the three pipes are in operation.

What is a function?

If we have two sets A and B as:

[tex]A = \{a_1, a_2, ... \}\\B = \{b_1, b_2, ... \}[/tex]

Then, function

[tex]f:A \rightarrow B[/tex]

is a connection of elements of A to B such that one element of A is connected to only single element of B, and not many.

The connected pairs are then written as:

[tex]\{(a_i_1,b_j_1), (a_i_2, b_j_2), ... \}[/tex]

Under the function f.

The table shows the input and output of water from pipes A, B, and C.

Pipe                                        A                         B                        C

Flow In (gallons/minute)      a(x)=25x             b(x)=10x

Flow Out (gallons/minute)                                                       c(x)=30x

The pipes begin operating simultaneously at noon.  Let T (2) represent the amount of water in the tank x minutes after all of the pipes A, B, and C are opened.

At noon, a tank contains 100 gallons of water. In the above table A and B shows the inlet of water while C shows the out let of the water.

So, 100, A and B added in the function while C will be subtracted as,

[tex]T(x)=100+a(x)+b(x)-c(x)[/tex]

Thus, the function in option C represents T (x).

Now use this equation, to find the number of minutes for the tank be empty. For this equation, the equation equal to zero as,

[tex]T(x)=100+25x+10x-30x[/tex]

[tex]0=100+25x+10x-30x\\-100=5x\\x=-20[/tex]

This negative value of x tells that if all the three pipes are open, the tank is never become empty completely.

Thus, the function which represent T (x) for the tank which contains 100 gallons of water and input and output of water from pipes A, B, and C is,

[tex]T(x)=100+a(x)+b(x)-c(x)[/tex]

The tank will not be empty when all the three pipes are in operation.

Learn more about the function here;

https://brainly.com/question/13395697


Related Questions

The random variables X and Y are jointly continuous, with a joint PDF of the form fX,Y(x,y)={cxy,0,if 0≤x≤y≤1,otherwise, where c is a normalizing constant. For x∈[0,0.5] , the conditional PDF fX|Y(x|0.5) is of the form axb . Find a and b .

Answers

Answer:

The value of a and b are 8 and 1 respectively

Step-by-step explanation:

[tex]f_{x,y}(x,y)=\left\{\begin{matrix}cxy ,\text{if} 0 \leq x \leq y \leq 1\\ 0 , \text{otherwise}\end{matrix}\right.[/tex]

[tex]\int_{0}^{1}\int_{x}^{1}cxy \text{dy dx}=1\\\\c\int_{0}^{1}x\left ( \frac{y^2}{2}\right )_{x}^{1} \text{ dx}=1\\\\\frac{c}{2}\int_{0}^{1}x\left ( 1-y^2\right )\text{dx}=1\\\\\frac{c}{2}\int_{0}^{1}(x-x^3)\text{dx}=1\\\\\frac{c}{2}\left [ \frac{x^2}{2}-\frac{x^5}{4} \right ]_{0}^1=1\\\\\frac{c}{2}\left [ \frac{1}{2}-\frac{1}{4} \right ]=1\\\\\frac{c}{2}\left ( \frac{1}{4} \right )=1\\\\c=8[/tex]

Conditional pdf of [tex]f_{x,y}(x|0.5)[/tex]

[tex]f_{x,y}(x|0.5)=\frac{f_{xy}(x,y=0.5)}{f_{y}y}[/tex]

Normalizing pdf of 1

[tex]f_{y}y=\int_{0}^{y} 8yx \text{dx}[/tex]

[tex]f_{y}y=8y[\frac{x^2}{2}]_{0}^{y}\\f_{y}y=4y(y^2)\\f_{y}y=4y^3\\f_{x|y}(x|0.5)=\frac{8x(0.5)}{4(0.5)^3}=\frac{2x}{0.25}=8x[/tex]

We are given that PDF [tex]f_{x|y}(x|0.5)[/tex] is of the form [tex]ax^b[/tex]

So, on comparing 8x with [tex]ax^b[/tex]

So, a = 8 , b = 1

So, the value of a and b are 8 and 1 respectively

The resulting value of a and b given  the conditional PDF of fX|Y(x|0.5) is mathematically given as

a = 8 , b = 1 .

What are the values of a and b?

Question Parameters:

a joint PDF of the form fX,Y(x,y)={cxy,0,if 0≤x≤y≤1,

For x∈[0,0.5]

the conditional PDF fX|Y(x|0.5)

Generally, the equation for the function of (x,y)   is mathematically given as

[tex]f_{x,y}(x,y)=\left\{\begin{matrix}cxy ,\text{if} 0 \leq x \leq y \leq 1\\ 0 ,\end{matrix}\right.[/tex]

Therefore

[tex]\int_{0}^{1}\int_{x}^{1}cxy \text{dy dx}=1[/tex]

[tex]c\int_{0}^{1}x\left ( \frac{y^2}{2}\right )_{x}^{1} \text{ dx}=1[/tex]

[tex]\frac{c}{2}\left [ \frac{x^2}{2}-\frac{x^5}{4} \right ]_{0}^1=1[/tex]

[tex]\\\\\frac{c}{2}\left ( \frac{1}{4} \right )=1[/tex]

C=8

Where, the conditional PDF fX|Y(x|0.5)

[tex]f_{x,y}(x|0.5)=\frac{f_{xy}(x,y=0.5)}{f_{y}y}[/tex]

We have

[tex]f_{y}y=8y[\frac{x^2}{2}]_{0}^{y}\[/tex]

[tex]f_{y}y=4y^3[/tex]

[tex]f_{x|y}(x|0.5)=\frac{8x(0.5)}{4(0.5)^3}[/tex]

f_{x|y}(x|0.5)=8x

In conclusion. with the pdf in the form of ax^2

8x comparing ax^b

The value of a = 8 , b = 1 .

Read more about Arithmetic

https://brainly.com/question/22568180

Question 1
Manipulate the base area and the height of the pyramid, setting different values for each. Record the base dimensions, height, and the exact
volume for two kinds of pyramids: one with a square base and one with a rectangular base. Also calculate the decimal value of each volume, and
verify that it matches the volume displayed by the tool. (You might see some discrepancies in the tool due to rounding of decimals.)

Answers

Answer:

Step-by-step explanation:

Lin rode her bike 2 miles in 8 mins. She rode at constant speed. Complete the table to show the time it took travel different distances at this speed

Answers

Answer:

4, 1

Step-by-step explanation:

If you take 2, 8 and make it a ratio you get 2 : 8.

Then you turn 2 : 8 into 1 : 4. That is your answer for a mile.

For the other answer, you want to divide 2 by 8.

(Hope this helps) :)  

89.95 DVD player; 5% discount

Answers

Answer:

The answer is $85.45 after the 5% discount

Which lines are perpendicular to the line y - 1 = {(x+2)? Check all that apply.
Oy + 2 = -3(x - 4)
Oy- 5 = 3(x + 11)
Oy=-3x -
5
y y = 1x-2
=
3x + y = 7

Answers

Answer: A C E

Step-by-step explanation:

y = -1x-2 is the perpendicular line of the given line y - 1 = {(x+2).

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The product of slope of perpendicular lines will be equal to minus one.

y-1=x+2 the line has a slope of +1.

The slope of the perpendicular line will be -1.

y = -1x-2 is the perpendicular line of the given line y - 1 = {(x+2).

Hence,  y = -1x-2 is the perpendicular line of the given line y - 1 = {(x+2).

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ7

pls look at the picture attached! i need help

Answers

it is 9    aahh it says to short   well 3 times 9 is 27 then minus 17 is less than 13

Answer:

v <= 10

(-infinity, 10]

Step-by-step explanation:

3v - 17 <= 13

+17 +17

3v <= 30

3v/3 30/3

v <= 10

(-infinity, 10]

2k=18. find the value of k​

Answers

k = 9
because 18/2 is 9

Answer:

Step-by-step explanation:

18 divided by 2 would be 9 so k=9

Joe buys lunch at a local cafe for 8.60 if she leaves a 15% tip how much does she spend at the cafe

Answers

Answer:

dhvbhdvhdhddjbd

Step-by-step explanation:

7th grade math help me plzzzz

Answers

Answer:

B.

Step-by-step explanation:

Answer:

0.05 per ounce

Step-by-step explanation:

5.20 per 40 is 0.13 per ounce

whereas

2.70 per 15 is 0.18 per ounce

A slug travels 3 centimeters in 3 seconds. A snail travels 6 centimeters in 6 seconds. Both travel at constant speeds. Mai says, “The snail was traveling faster because it went a greater distance.”

Answers

Answer:

Mai is wrong since both travel the same distance in the same amount of seconds

Step-by-step explanation:

3 centimeters in 3 seconds is 1 centimeter a second for the slug

6 centimeters in 6 seconds is 1 centimeter a second for the snail

so both travel the same distance

Answer:

No, she is wrong. They are both going the same pace.

Step-by-step explanation:

3 centimer divided by 3 is 1. 1 cm a second. 6 centimeters didvided by 6 is 1.

1 cm a second. Hence they are both going the same speed. If you don't understand anything comment and ill explain more. Please heart and 5 stars and brainlest if you don't mind

what is the 12
th term rule of the linear sequence 13 7 1 -5 -11​

Answers

Answer:

-53, f(n) = -6(n-1) + 13

Step-by-step explanation:

given the equation to this linear/arithmetic sequence for the nth term: f(n) = -6(n-1) + 13

f(12) = -6(12-1) + 13

f(12) = -6(11) + 13

f(12) = -66 + 13

f(12) = -53

*substitute and simplify*

______________

f(n) = f(1) + d(n-1)

given f(1) = 13, f(2) = 7, and f(3) = 1

7-13 = 1-7 = -6 = d

= f(1) + d(n-1)

f(1) = 13 so

the equation must be f(n) = 13 - 6(n-1) or -6(n-1) + 13

Molly has three pairs of shoes. 1 cost $40, 2 cost $20, and 3 cost $25, if she got 50% off for all shoes, what price was each shoe?

Answers

Answer:

20, 10, 12.50

Step-by-step explanation:

Math
What is the number of solutions in this system?

No solution

Infinitely many solutions

One solution

Answers

Answer:

should be Infinitely many solutions

Step-by-step explanation:

(x + 8)(x-8)
answer choices
A x2 + 8x + 64
B x²-64
C x² + 64
x2 + 16X - 64

Answers

Step-by-step explanation:

we know the formula(x^2-y^2)=(x+y)(x-y)

so (x+8)(x-8)=x^2-8^2=x^2-64

so the right answer is B

Don’t understand this question

Answers

i believe it would be A D E
not positive but pretty sure

Please help me i dont understand

Answers

1st one- the square is equal to 5
the triangle is 4
the circle is 6

Answer:

5

4

6

.........................

Is 8(3x+2) and 4(6x÷4) equivalent?

Answers

Answer:

x= - 8/9

Step-by-step explanation:

Graph the line of the slope of 1/4 and includes the point (0,2)

Answers

Answer:

I'm on Edulastic.com taking a 100 Q test and this question is on it!

Step-by-step explanation:

Imao im fgging confused

The graph of the required line [tex]\bold{y=\frac{x}{4}+2}[/tex] is given below.

Slope point form of equation of line: -

An equation of line with slope m and passing through point (p, q) is:

(y - q) = m × (x - p)

We have been given the slope of the line m = 1/4,

and a point (p, q) = (0, 2)

Using the slope-point form equation of line would be,

⇒ (y - 2) = 1/4 × (x - 0)

⇒ (y - 2) = 1/4(x)    

⇒ y = x/4 + 2                          ...............................(1)

So, the equation of the line is [tex]y=\frac{x}{4} +2[/tex].

To plot the line we need at least  two coordinate points.

We have been given a point (0, 2).

We need to find another point.

Substitute x = -4 in equation (1),

⇒ y = (-4)/4 + 2

⇒ y  = -1 + 2

⇒ y = 1

So, another point on the line would be (-4, 1).

Now, we plot points (0, 2) and (-4, 1) on coordinates plane.

Then the graph of the line [tex]\bold{y=\frac{x}{4}+2 }[/tex] is as shown in figure.

Learn more about the graph of a line here:

https://brainly.com/question/23680294

#SPJ2









Laura had 192 dollars to begin with. She just spent b dollars. Using b, write an expression for the number of dollars she has left

Answers

Answer:

$192-$b

Step-by-step explanation:

If Laura had $192 and she spent $b, the expression is $192-$b. Hope it helps!

15,420 divided by 20 =

Answers

Answer:

771

Step-by-step explanation:

Mary has a bag with 80 pieces of candy. She gives ¼ of her candy to John and 10% to Lisa. How much more candy did she give to John then Lisa?

Answers

Answer:

12 pieces

Step-by-step explanation:

80 pieces of candy

1/4 is 25% or 20 pieces of candy

10% would be 8 pieces of candy

subtract the two. Your answer is 12

Answer:

He had 14 more pieces

Step-by-step explanation:

So 80/4 is 20 pieces. So we know John has 20. Now she has 60 left since 80-20 is 60. Now 10 percent of 60 would be 6 pieces. We can subtract 6 from 20 to find out how many more pieces John had. 20-6 is 14. So John had 14 more than Lisa

5. (01.07A MC)
Which number line best shows the position of ? (5 points)
J7
HHHH +
-4 -3
-1 0 1 2
+
4
-2
3
3
7
HHH H
-4 -3 -2 -1 0 1 2 3
+
4
7
HH
-4
-3 -2
-1 0 1 2
3
4
-
OL
7
t. +
3 4 5
-5 -4
-3 -2
-1 0 1 2

Answers

Answer:

if u could include a photo it may help more ..thanks

The length of a rectangle is 3.7 inches when rounded to the nearest tenth of an inch.

Answers

Answer:

what is the answerrrrrrr

Step-by-step explanation:

johanna prepares a mixture of salad mixed with mayonnaise carrots cucumber lettuce and cheese. what type of mixture divine salad is? why do you think so?​

Answers

Answer:

johanna prepares a mixture of salad mixed with mayonnaise carrots cucumber lettuce and cheese. what type of mixture divine salad is? why do you think so

the abbreviation for the constant change in a graph or table?​

Answers

Answer:

ROC

Step-by-step explanation:

ROC. rate of change

On a table or graph, the constant change is same as the unit rate, rate of change or slope, which can be denoted as m.

Constant change on a graph or table simply refers to the rate of change of the output (y) over the change in input (x).

Constant change in a graph or table is the same as the unit rate or the slope value which is dented by the letter m.

Constant rate of change, unite rate, and slope can be denoted as m of a graph or table.

Learn more here:

https://brainly.com/question/23184256


You roll two dice. The first dice shows a ONE and the other dice rolls under the table and you cannot see it. Now, what is the probability that both dice show one?

Answers

how many faces does the dice have? I'm gonna assume it had six faces.

Answer:

1/6

Step-by-step explanation:

since the dice has one 1 on it and it cannot be seen

Which statement about -8 and
-12 is true?

Answers

Answer:they are both neagtive numbers.

Step-by-step explanation:

they say it right in front of you.

Damien left his house at time Zero and drove to the store, which is 12 blocks away, at a speed of 6 blocks per minute. then he stopped and went into the store for 5 minutes. from there, he drove in the same direction at speed of 2 blocks per minute until he got to the bank, which is 12 blocks away from the store. he stopped at the bank for 2 minutes. then he drove home at a speed of 6 blocks every minute. make a graph of showing the number of blocks away from home that Damien is x minutes after he leaves his house, until he gets back home.

Answers

Answer:It take her 20 minutes, but I dont know how to graph yet, so I can only tell you that xx=20

Solve two-step equations
2 = 4s + –10 i need it ASAP

Answers

Answer:

s=3

Step-by-step explanation:

Answer:

s=3

Step-by-step explanation:

simplify the equation to the form, which is simple to understand  

and then move all terms containing s to the left and all other terms to the right!

Helpppppppppppppppppppppppppppppppppppp

Answers

wouldn’t that be like -5,1?
Other Questions
I bet you $13456324567 dollars you didn't read that number. You just skipped right over it. You didn't realize I put a letter in it. No I didn't but you went back and looked. }2x+2y=4{3x+3y=18find the solution to the systems of equations The Congress of Vienna gave Austria more territory in 1. Poland 2. Italy 3. Russia 4. Turkey. Please answer with a number or just one of the four places. Plz help me answer this full sentences please sleeping garment should have no fabric ornaments that extends more than 1/4 inch from the point of attachment . True or False? It is helpful to recognize roadblocks that can get in the way of you achieving you goals? Truth or false Graph the function f(x) = -x-8x-13 How did the natural environment influence diet in hunter-gatherer societies? Choose four answers.A) Colder climates resulted in a lack of food for hunter-gatherers.B) Different types of vegetation were available in different places.C) Hunter-gatherers ate the same foods in each environment.D) Hunter-gatherers ate only plants; they did not eat animals.E) Hunter-gatherers ate different types of plants depending on the environment.F) Hunter-gatherers used resources in the environment to create ________ is measured in units of distance per unit of time.Question 2 options:VelocitySpeedForceDistance Two-Stage ABC for Manufacturing Detroit Foundry, a large manufacturer of heavy equipment components, has determined the following activity cost pools and cost driver levels for the year: Activity Cost Pool Activity Cost Activity Cost Driver Machine setup $720,000 12,000 setup hours Material handling 120,000 3,000 material moves Machine operation 680,000 10,000 machine hours The following data are for the production of single batches of two products, C23 Cams and U2 Shafts during the month of August: C23 Cams U2 Shafts Units produced 500 300 Machine hours 4 5 Direct labor hours 200 400 Direct labor cost $5,000 $10,000 Direct materials cost $20,000 $15,000 Tons of materials 13 8 Setup hours 3 7Determine the unit costs of C23 Cams and U2 Shafts using ABC. Product Costs C23 Cams U2 Shafts Direct materials 30,000 $20,000 Direct labor 5,000 10,000 Manufacturing overhead Machine setups 150 300 Material handling 780 480 Machine operation 100,000 X 75,000 X Total job costs $135,930 X $105,830 X Units produced 500 300 Cost per unit produced 271.86 352.77 Which of the following happens when 21.63 is multiplied by 103? A.The digit in the tens place moves to the hundredths place. B.The digit in the tens place moves to the thousandths place. C.The digit in the hundredths place moves to the tens place. D.The digit in the hundredths place moves to the hundreds place. What is the density of aluminium? | ?A : 2.7 g/cm3 | 2.7 g/cm3B : 3.7 g/cm3 | 3.7 g/cm3C : 4.7 g/cm3 | 4.7 g/cm3D : 5.7 g/cm3 | 5.7 g/cm3Ans: A : 2.7 g/cm3 | 2.7 g/cm3 what does there words mean:dominion,stewardship and conservation? what is the central dogma of biology? QUICK PLEASE PLES HELP ME!!!!!!!!!!!!!!!!!!!! I NEED HELP ASAP The graph shows the amount of savings over time in Eliana's account. Lana, meanwhile, puts $40 each week into her savings account. If they both begin with $0, who is saving at the greater rate? here is a link i need help i have to do this for school pleases helpplease let me know if you have solved it x/2.4+39=239show work How far from the home did Karen and her mother travel during the first hour of the trip? Please help ASAP!!!!!