A basin is filled by two pipes in 12 minutes and 16 minutes respectively. Due to the obstruction of water flow after the two pipes have been running together for some time, the 1st pipe carries 7/8 of the carrying capacity and the 2nd pipe carries 5/6 of the carrying capacity. After removing the water barrier, the tank is full in 3 minutes. How long after the flow of water in the two pipes became normal?​

Answers

Answer 1

Answer:

The time duration of the two pipes restricted flow before the flow became normal is 4.5 minutes

Step-by-step explanation:

The given information are;

The time duration for the volume, V, of the basin to be filled by one of the pipe, A, = 12 minutes

The time duration for the volume, V, of the basin to be filled by the other pipe, B, = 16 minutes

Therefore, the flow rate of pipe A = V/12

The flow rate of pipe B = V/16

Due to the restriction, we have;

The proportion of its carrying capacity the first pipe, A, carries = 7/8 of the carrying capacity

The proportion of its carrying capacity the second pipe, B, carries = 5/6 of the carrying capacity

Whereby the tank is filled 3 minutes after the restriction is removed, we have;

[tex]\dfrac{7}{8} \times \dfrac{V}{12} \times t + \dfrac{5}{6} \times \dfrac{V}{16} \times t + \dfrac{V}{12} \times 3 + \dfrac{V}{16} \times 3 = V[/tex]

Simplifying gives;

[tex]\dfrac{(2\cdot t +7) \cdot V}{16} = V[/tex]

2·t + 7 = 16

t = (16 - 7)/2 = 4.5 minutes

Therefore, it took 4.5 seconds of the restricted flow before the the flow of water in the two pipes became normal

Answer 2
hope the answer above helped bro! it helped me!

Related Questions

Which of the following is true? three and two fifths plus four and two sevenths equals seven and four twelves two and five eighths plus six and one sixth equals eight and six twenty fourths four and eight tenths plus five and two sixths equals ten and eight sixtieths six and seven twelves plus three and nineteen twenty fourths equals nine and nine twenty fourths

Answers

It equals ten and eight forge

Answer: The answer is c

Step-by-step explanation:

A fish fank was 3/4 full, and then 1/3 of the water leaked out,
5) How full was the fish tank after the water leaked out?
6) If there was 20 gallons of water left in the fish tank after the water leaked out,
how many gallons of water does the fish tank hold when it is full?

Answers

Answer:

5) It was 5/12 of the way full

6) It holds 48 gallons.

Step-by-step explanation:

For #5, you can simply find the lowest common denominator, which was 12, so you would multiply 3/4 by 3/3 and 1/3 by 4/4, giving you 9/12 and 4/12. Next you would subtract 4 from 9 and get the answer 5/12.

For #6 you can set up the problem as a ratio, 5/12 and 20/x, and then cross multiply, getting the equation 5x = 240. Then divide by 5 and you get the answer 48.

Hope this helps!!

Answer:

5/12 When the water leaked out.

48 Gallons when full.

Hope this Helps!

Which data set could be represented by the box plot shown below?

Answers

Answer:

16

Step-by-step explanation:

The correct answer is 16

What does y equal -3=15+4y

Answers

Answer:

-3 = 15+4y

4y = 12

y = 3.......

y=-5 the answer is that

what is -4 as a fraction

Answers

Answer:

-4/1

Step-by-step explanation: whenever you have a whole number you just put a 1 as the denominator to make it a fraction.

The answer should be -2/5

the graph of y=f(x) is shown below. find all the values of x where f(x)=1

Answers

positive 3 is the correct answer

When you substitute the value of x = 3, you get f(x) = 1.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

What is Parabola?

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

parabola, open curve, a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.

Here the given graph of y = f(x) is shown.

When you substitute the value of x = 3, you get f(x) = 1.

Hence, you can get f(x) = 1 by substituting the value of x = 3

Learn more about the parabola here:

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The steepness or grade of a road is expressed as a percent. if a road rises 8 feet for every 64 horizontal feet. What is the slope of the road? what percent grade is this ?

Answers

Answer:

[tex]\frac{1}{8}[/tex] is the slope, and the percent grade of this is 12.5%.

Step-by-step explanation:

The slope of any linear equation is always rise over run.

Since we rise 8 feet for every 64 feet travelled horizontally, our fraction is

[tex]\frac{8}{64}[/tex] which simplifies to [tex]\frac{1}{8}[/tex], so  [tex]\frac{1}{8}[/tex] is the slope.

To find the percent grade, we find the decimal version of  [tex]\frac{1}{8}[/tex] and multiply by 100.

[tex]1\div8 = 0.125\\0.125\cdot100 = 12.5[/tex]

Hope this helped!

Answer:

Slope = 1/8

Grade = 12.5%

Step-by-step explanation:

Hey there!

Well if the rise/run is 8/64

then the slope is 8/64,

8/64

simplified

1/8 is the slope

The decimal grade is 1/8 as a percent so,

1 ÷ 8 = .125

Move the decimal place 2 times to the right,

12.5% is the decimal grade

Hope this helps :)

Explain how I would rewrite 3^5 * 3^-4 as a base an exponent

Answers

Answer:

3^1 or 3

3^5 * 3^-4 are 3^5-4

so, 3^1!

Hope it helps!

Answer:

3^1

Step-by-step explanation:

Since the bases are the same and we are multiplying we can add the exponents

a^b * a^c = a^(b+c)

3^5 * 3^-4

3^ (5+-4)

3^1

The sum of 6 even integers is 130 what is the 2nd number in the sequence

Answers

Answer:

The 2nd number in the sequence is [tex]2\left(\frac{100}{12}\right)+2[/tex]

Step-by-step explanation:

Let the six even numbers be 2x,2x+2,2x+4,2x+6,2x+8,2x+10

We are given that The sum of 6 even integers is 130.

So,2x+2x+2+2x+4+2x+6+2x+8+2x+10=130

12x+30=130

12x=100

[tex]x=\frac{100}{12}[/tex]

So,the 2nd number in the sequence is [tex]2\left(\frac{100}{12}\right)+2[/tex]

2 (100/12) + 2
______________

A $20,000 business computer depreciates at a rate of 15% per year. Which of the following equations would model the value of the computer?

Answers

Answer:

[tex]f(t)=20000(0.85)^t[/tex]

Step-by-step explanation:

So the initial value of the business computer is $20,000. It depreciates by 15% per year. This is exponential decay. The standard function for exponential decay is:

[tex]f(t)=P(r)^t[/tex]

Where P is the initial value, r is the rate of decay, and t is the time in years.

Since the computer decreases by 15% per year, this means that each year, the computer will be 1-15% or 85% than its previous value.

Therefore, the equation that models the value of the computer is:

[tex]f(t)=20000(0.85)^t[/tex]

ANSWER(20000)........

Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction Which equation is correct and can be used to solve for the value of z? StartFraction sine (51 degrees) Over 2.6 EndFraction = StartFraction sine (76 degrees) Over z EndFraction StartFraction sine (51 degrees) Over 2.6 EndFraction = StartFraction sine (53 degrees) Over z EndFraction StartFraction sine (76 degrees) Over 2.6 EndFraction = StartFraction sine (51 degrees) Over z EndFraction StartFraction sine (76 degrees) Over 2.6 EndFraction = StartFraction sine (53 degrees) Over z EndFraction

Answers

Answer:

[tex]\frac{sin(51)}{2.6}=\frac{sin(76)}{z}[/tex]

Step-by-step explanation:

The sine rule states that for a triangle angles ∠A, ∠B, ∠C and the sides opposite to the respective angles are a, b and c. This formula holds:

[tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]

From the diagram attached given that ∠Y = 51° and the side opposite to ∠Y is 2.6, ∠Z = 76° and the side opposite ∠Z is z. Using sine rule to find z this formula is used:

[tex]\frac{sin(Y)}{y} =\frac{sin(Z)}{z} \\\frac{sin(51)}{2.6}=\frac{sin(76)}{z}[/tex]

Answer:

A

Step-by-step explanation:

Edg 2020

Math Question (10 Points):

Answers

The correct answer is A

Answer:

Step-by-step explanation:

We need the two numbers to tell us where the point is on the coordinate plane. The first number tells us where it is on the x-axis, and the second number tells us where it is on the y-axis. The very middle of the coordinate plane is the point (0, 0)

Based on this the answer is horizontol plane and x coordinate

Find the mean of the data in the pictograph below.

Answers

Answer:

10.5

Step-by-step explanation:

Answer: 10.5


Explanation: just use a mean calculator lol

A pet store specializes in exotic fish. The graph shows a proportional relationship between the number of fish and the number of fish tanks at
the store.
y
65
52
39
Fish
Fish
26
13
0
5
6
Fish Tanks

Answers

35m is the answer to the problom        

Answer:

the correct answer is 13

Step-by-step explanation:

i got it correct on the test, hope this helps:)) !

Find the value of y and x.

Answers

Answer:

x = 130°y = 65°

Step-by-step explanation:

All inscribed angles intercepting the same arc have the same measure.

If you slide the vertex of angle y clockwise around the circle until it coincides with the vertex of the angle marked 65°, you see that those two inscribed angles (y and 65°) intercept the same arc, so have the same measure:

  y = 65°.

The measure of an inscribed angle is half the measure of the intercepted arc, so the arc marked x is double the angle 65°.

  x = 130°.

The answer for this is y= 65 degrees and x= 130 degrees

The US Department of Health and Human Services wants to know whether the healthcare system is achieving its goals in Virginia. Much information about

healthcare comes from patient records, but that source doesn't allow us to compare people who use health services with those who don't. Therefore, the US

Department of Health and Human Services conducted the Virginia Health Survey, which was used to interview a random sample of 65,439 people who live in

the state of Virginia.

Part A: What is the population for this sample survey? What is the sample? (4 points)

Part B: The survey found that 71% of males and 88% of females in the sample had visited a general practitioner at least once during the past year. Do you

think these estimates are close to the truth about the entire population? Explain. (6 points)

Answers

Answer:

Part A: All the residents of the state of Virginia make up the population, while the sample is the number of those interviewed–65,439 people.

Part B: No

Step-by-step explanation:

Part A: In statistical analysis, the population refers to the study area of the research; and in this case– the state of Virginia. While the sample represents a considerable representation of the population in the survey.

Part B: No because we are told The US Department of Health and Human Services used a random sample, not a non-random sampling technique; which implies that the feedback was random and may not likely be close to the truth about the entire population.

can somewon help me plx

Answers

Answer:

[tex]\boxed{392in^2}[/tex]

Step-by-step explanation:

Hey there!

Well to find SA we need to find the area of the rectangles.

So lets do the top rectangle,

6*6 = 36

Now lets do the the left rectangle,

10*6 = 60

Now lets do the far right one,

6*4 = 24

Now lets do the second highest rectangle,

4*6 = 24

Now lets do the rectangle facing the right side,

6*6 = 36

Now we can do the bottom rectangle,

6*10 = 60

Now lets do the 2 facing front and back,

6*10 = 60

4*4 = 16

60+16 = 76

76*2 = 152

Now we can add everything,

152 + 60 + 36 + 24 + 24 + 60 + 36

= 392 in^2

Hope this helps :)

The answer is 392in. Squared

Can someone help me with this? Does it mean cup or is it a typo? Also I need help with the answer.

Answers

Answer:

Yes it really does mean cup.

Step-by-step explanation:

This can only contian 1 jar

12.5 cups are equal to 100 ounces

if there are 100 oz in that little jar then only 1 large jar can be filled by a lttile jar.

Yes ^^ they are correct I’ve answered this before

Describe the transformations that will map triangle A to triangle B and illustrate the similarity between the two triangles.


A) reflect triangle a across the y-axis and then translate triangle a 5 units down.  B) reflect triangle A across the x-axis and then reflect triangle a across the y-axis.  
C) translate triangle a 4 units down and then rotate triangle A 180° counterclockwise about the origin. 
D) reflect triangle a across the x-axis and then rotate triangle A 90° counterclockwise about the origin

Answers

Honestly I’m not for sure but I’m think it’s either a or b

The triangle is shifted 4 units downwards and then is rotated about the origin.

What is image rotation?A rotation is a type of transformation which is a turn.A figure can be turned clockwise or counterclockwise on the coordinate plane.In both transformations the size 3 shape of the figure stays exactly the same.

Given are triangles A and B.

Transformation 1 : The triangle is shifted 4 units downwards.

Transformation 2 : The figure is rotated about the origin.

Therefore, the triangle is shifted 4 units downwards and then is rotated about the origin.

To solve more questions on dilation, visit the link below -

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Dennis uses a soft-sided foot locker to store his sports equipment in his bedroom. The foot locker is 38 inches long and 12 inches wide and has a volume of
7,752 cubic inches. What is the height (in inches) of the foot locker?

A. 204

B. 17

Answers

Answer:

So.. I believe the answer is 17

Step-by-step explanation:

In order to get your answer, you would first multiply 38*12 which is 456

Then you would get that number (456) and divide it by 7,752

So 7,752/456 is 17

The answer to this is B

Which data set could be represented by the box plot shown below?

Answers

Answer:

Step-by-step explanation:22

The answer is would be

22

Someone pls help me i forgot how to do this . Thank you sm !!

Answers

Answer:

1.x=-5 2.t=1/2 3.x=20

Step-by-step explanation:

all simple algebra first and second is simple subtraction

the third involves division as  well

Answer:

Here are the answers:

1) -5

2) 1/2

3) 20

Hope I helped)))

Pls mark brainliest

The vertex formation of a parabola is x = 8(y- 1)2-76.
What is the standard form of the equation?

Answers

Answer:

[tex]\boxed{x=8y^2-16y-68}[/tex]

Step-by-step explanation:

Hello, please consider the following.

[tex]x=8(y- 1)^2-76\\\\x=8(y^2-2y+1)-76\\\\x=8y^2-16y+8-76\\\\\boxed{x=8y^2-16y-68}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

The answer to this question is x = 8y^2 - 16y -68

Which statements are true about the graph of the function f(x) = 6x – 4 + x2? Select two options. The vertex form of the function is f(x) = (x – 2)2 + 2. The vertex of the function is (–3, –13). The axis of symmetry for the function is x = 3. The graph increases over the interval (–3, infinity). The function does not cross the x-axis.

Answers

Answer:

  B, D

Step-by-step explanation:

If you're going to make claims about the graph, it is helpful to see a graph (attached).

A) The vertex form of the function is f(x) = (x +3)^2 -13, not the one shown.

B) The vertex is (-3, -13). True

C) The axis of symmetry is x = -3, not the one given.

D) The graph increases for x > -3. True

E) The function crosses the x-axis at about x=-6.6 and x=0.6.

A function assigns the values. The statements that are true about the given function are B and D.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Here, we have,

To know the correct statements about the graph of the function f(x)=6x-4+x², we need to plot the graph, as shown below.

A.) The vertex form of the function is f(x)=(x-2)²+2.

To know if the vertex form of the function is f(x)=(x-2)²+2, solve the equation and check if it is of the form f(x)=6x-4+x².

Since the two functions are not equal this is not the vertex form of the function is f(x)=6x-4+x².

B.) The vertex of the function is (-3, -13).

As can be seen in the image below, the vertex of the function lies at (-3,-13.) Therefore, the statement is true.

C.) The axis of symmetry for the function is x = 3.

As the vertex is at -3, therefore, the function symmetry will be about x=-3.

Hence, the given statement is false.

D.) The graph increases over the interval (-3).

The given statement is true since the graph will be showing a positive slope in the interval (-3, +∞).

E.) The function does not cross the x-axis.

It can be observed that the function intersects the x-axis exactly at two points, therefore, the given statement is false.

Learn more about Function:

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Write the equation in terms of a rotated x'y'-system using the angle of rotation. Write the equation involving x' and y' in standard form.

19x2 + 241/3 xy - 5y2 - 527 = 0; 0 = 30°

Answers

Answer:

The answer is "[tex]\bold{\frac{x^{'}^2}{17}-\frac{y^{'}^2}{31}=1}[/tex]"

Step-by-step explanation:

In the given question there is some mistyping error if the given value is this. so, its solution can be defined as follows:

[tex]19x^2 + 24\sqrt{3} xy - 5y^2 - 527 = 0...................(1) \\\\ \theta = 30^{\circ}[/tex]

Formula:

[tex]\bold{x=x'\cos \theta -y' \sin \theta}[/tex]            [tex]_{where} \ \ \ \ \theta =30[/tex]

  [tex]=x' \cos 30- y' \sin 30\\\\ =x' \frac{\sqrt{3}}{2}- y' \frac{1}{2}\\\\ =\frac{1}{2}(x' \sqrt{3}- y')....(a)\\\\[/tex]          

[tex]\bold{y=x'\sin \theta +y' \cos \theta}[/tex]            [tex]_{where} \ \ \ \ \theta =30[/tex]

  [tex]=x' \sin 30+y' \cos 30\\\\ =x' \frac{1}{2}+y' \frac{\sqrt{3}}{2}\\\\ =\frac{1}{2}(x'+ y'\sqrt{3})....(b)\\\\[/tex]          

put the equation (a) and equation (b) value in equation 1:

equation:

[tex]\to 19x^2 + 24\sqrt{3} xy - 5y^2 - 527 = 0...................(1) \\\\[/tex]

[tex]\to 19(\frac{1}{2}(x'\sqrt{3}- y'))^2+24\sqrt{3}(\frac{1}{2}(x'\sqrt{3}- y))( \frac{1}{2}(x'+y'\sqrt{3}))- 5(\frac{1}{2}(x'+y'\sqrt{3}))^2-527= 0\\[/tex]

[tex]\to \frac{19}{4}(3x^{'}^2+ y^{'}^{2}-2\sqrt{3}x' y')+6\sqrt{3}(\sqrt{3}x^{'}^{2}+2x'y'-\sqrt{3}y^{'}^2)-\frac{5}{4}(x^{'}^2+ 3y^{'}^{2}-2\sqrt{3}x' y')-527=0[/tex]

[tex]\to \frac{57}{4}x^{'}^2+\frac{19}{4}y^{'}^2-\frac{19 \sqrt{3}}{2}x^{'}^2y^{'}^2+18x^{'}^2+12\sqrt{3}x^{'}^2y^{'}^2-18y^{'}^2-\frac{5}{4}x^{'}^2-\frac{15}{4}y^{'}^2-\frac{5\sqrt{3}}{2}x^{'}^2y^{'}^2-527=0\\\\\to 31x^{'}^2-17y^{'}^2-527=0\\\\\to 31x^{'}^2-17y^{'}^2=527\\\\\to \frac{x^{'}^2}{17}-\frac{y^{'}^2}{31}=1\\\\[/tex]

Answer:The answer is The answer is ""

Step-by-step explanation:

Given the following three points, find by hand the quadratic function they represent.
(0,6), (2,16), (3, 33)
(1 point)
f(x) = 4x2 – 3x + 6
f(x) = -4x2 – 3x + 6
Of(x) = -4x2 + 21x + 6
Of(x) = 4x2 + 3x + 6

Given the following three points, find by hand the quadratic function they represent.
(-1,-8), (0, -1),(1,2)
(1 point)
O f(x) = -3x2 + 4x - 1
O f(x) = -2x2 + 5x - 1
Of(x) = -5x2 + 8x - 1
O f(x) = -3x2 + 10x - 1


Find the equation of a parabola that has a vertex
(3,5) and passes through the point
(1,13). (1 point)
Oy=2(x – 3)' + 5
Oy= -2(x – 3)' + 5
Oy= -3(x – 3)' +5
Oy= 2(x + 3)" - 5

Determine if the following set of ordered pairs represents a quadratic function. Explain.
(5, 7), (7, 11), (9, 14), (11, 18)
(1 point)
The y-values go up by the square of the x-value (22 = 4). Therefore, the ordered pairs represent a quadratic equation.
The y-values go up by the square of the x-value (22 = 4). Therefore, the ordered pairs do not represent a quadratic equation.
Since the differences between the differences of the y-values is not consistent, the ordered pairs do not represent a quadratic equation.
Since the differences between the x-values is 2 and the differences between the y-values is 4, that means that the differences between the differences
of the y-values are all zero. Therefore, the ordered pairs represent a quadratic equation.

Determine if the following table represents a quadratic function. Explain.
х
1
2
3
4.
5
y 13 22 37 58 85
(1 point)
O The differences between the differences of the y-values is a constant 6, so the ordered pairs do not represent a quadratic equation.
The differences between the y-values is a constant 9, so the ordered pairs represent a quadratic equation.
The differences between the differences of the y-values is a constant 6, so the ordered pairs represelo a quadratic equation.
The differences between the y-values is a constant 9, so the ordered pairs do not represent a quadratic equation.

i’m in a rush :( pls help

Answers

Answer:

A B A C C are the correct answers~_~

Step-by-step explanation:

A B A C C are the answers :)

You invest $4,000 in a savings account. The account pays 3% annual interest. How
much money will be in the savings account after 9 years?
$5,124.33
$6,003.45
$4,938.29
$5,219.20

Answers

Answer:

$5219.20

Step-by-step explanation:

4000 × (1+(3 / 100))^9

5219.20







That’s what I got

- The water rate for Columbus Ohio
is $1.98 per 750 gallons of water.
What is the water bill for a resident
who used 27,000 gallons?

Answers

Divide total amount used by the amount in the rate:

27,000 / 750 = 36

Multiply that number by the rate:

36 x 1.98 = 71.28

The bill is $71.28

The answer would be $71.28 :)

In 2021, Ryan Management collected rent revenue for 2022 tenant occupancy. For financial reporting, the rent is recorded as deferred revenue and then recognized as revenue in the period tenants occupy rental property. For tax reporting, the rent is taxed when collected in 2021. The deferred portion of the rent collected in 2021 was $66 million. Taxable income is $260 million in 2021. No temporary differences existed at the beginning of the year, and the tax rate is 25%. Prepare the appropriate journal entry to record income taxes in 2021. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field. Enter your answers in millions rounded to 1 decimal place (i.e., 5,500,000 should be entered as 5.5).)

Answers

Answer:

Answer and Explanation:

The Journal entry is shown below:-

1. Income Tax Expense Dr, $336 million  

Deferred Tax Assets Dr, $29 million

($116 million  × 25%)

         To Income Tax Payable $365 million

($1,460 × 25%)

(Being income tax and deferred tax is recorded)

2. Income Tax Expense Dr, $400 million

         To Income Tax Payable  $340  million

($1,360 × 25%)

         To Deferred Tax Assets $60 million

(($354.0 million - $116 million)  × 25%)

(Being income tax and deferred tax is recorded)

Step-by-step explanation:

Bbvbjjjgggghvccxzsetuikookmb:335679

Find x: 50*5x=5000

A) 25
B) 20
C) 50
D) 75

Answers

Answer:

[tex]\huge\boxed{B) x = 20}[/tex]

Step-by-step explanation:

50 * 5x = 5000

Dividing both sides by 50

=> 5x = 5000/50

=> 5x = 100

Dividing both sides by 5

=> x = 20

Answer:

the answer is B

Step-by-step explanation:

X: (x)50=20

Other Questions
It can be inferred from the passage that the time required to replenish muscle glycogen following anaerobic glycolysis is determined by which of the following factors? I. Rate of oxidative metabolism II. Quantity of lactic acid in the body fluids III. Percentage of glucose that is returned to the muscles A one-month summary of manufacturing costs for Rapid Routers Company follows. Direct materials $40,000 Direct labour 20,000 Material handling costs 1,500 Product inspection and rework 2,000 Materials purchasing and inspection 500 Routine maintenance and equipment servicing 1,200 Repair of equipment 300Required:Classify each cost as value-added or non-value-added What is 335 as an improper fractions The owners of Spokes Bicycle Shop worry that cash flow this winter may be insufficient to meet the current operating expenses. While they anticipate a surplus of cash inflow as warm weather approaches, they need funds now to meet the company's immediate obligations. The owners can best resolve cash flow concerns by obtaining ________ financing. Calculate the current passing through a conductor of resistance 4ohms. If a potential difference of 15V its ends______ The discount rate assigned to an individual project should be based on: Group of answer choices the firm's weighted average cost of capital. the actual sources of funding used for the project. the current risk level of the overall firm. the actual sources of funding used for the project. the estimated riskiness associated with the individual project. Circles1. RS and ST are tangent lines. Find the value of x.R9x - 30c.S3xT zeugen and yardang differences When the factors of a trinomial are (x-p) and (x+q) then the constant teen of the trinomial is How many solutions does this system of inequalities have graphed below What is another name for progress monitoring? a. Curriculum-based measurement c. Curriculum-based learning b. Assessment d. None of these If the coefficient of correlation is 0.8, the percentage of variation in the dependent variable explained by the variation in the independent variable is Masters Machine Shop is considering a four-year project to improve its production efficiency. Buying a new machine press for $450,000 is estimated to result in $184,000 in annual pretax cost savings. The press falls in the MACRS five-year class, and it will have a salvage value at the end of the project of $74,000. The press also requires an initial investment in spare parts inventory of $33,000, along with an additional $3,750 in inventory for each succeeding year of the project. The shops tax rate is 23 percent and its discount rate is 10 percent. (MACRS schedule)Required:Calculate the NPV of this project. Can someone help me find the amount on year 11 8. When dividing polynomials using factorization, cancelling identical factors in the denominator and the numerator will give the _______. A. remainder B. dividend C. quotient D. divisor Identify four general properties that make an NSAID unique as compared to the NSAID aspirin. List specific properties that make aspirin, naproxen, and ibuprofen unique from one another if f(x) -3 and g(x) = 3x2+x-6, find (f+9)(x).A. 4x2 - 9B. 3x2 + x - 3C. 3x2 + 2X-9D. 3x2 - 4x = 3 What is 2 cm converted to feet? From which area of study does the four Quadrant Model originate What methods do you think can should be used to protect patient information?