If F1 =(3,0), F2 =(−3,0) and P is any point on the curve 16x^2 + 25y^2 = 400, then PF1 + PF2 equals to:861012

Answers

Answer 1

The value of PF1 + PF2 equals to 10 for any point P on curve ellipse of equation 16x^2 + 25y^2 = 400. So, the correct answer is B).

We can start by finding the coordinates of the point P on curve of the ellipse. We can write the equation of the ellipse as:

16x^2 + 25y^2 = 400

Dividing both sides by 400, we get:

x^2/25 + y^2/16 = 1

So, the center of the ellipse is at the origin (0,0) and the semi-axes are a=5 and b=4.

Let the coordinates of point P be (x,y). Then, we can use the distance formula to find the distances PF1 and PF2:

PF1 = sqrt((x-3)^2 + y^2)

PF2 = sqrt((x+3)^2 + y^2)

Therefore, PF1 + PF2 = sqrt((x-3)^2 + y^2) + sqrt((x+3)^2 + y^2)

We can use the property that the sum of the distances from any point on an ellipse to its two foci is constant, and is equal to 2a, where a is the semi-major axis. So, we have:

PF1 + PF2 = 2a = 2(5) = 10

Therefore, PF1 + PF2 equals to 10 for any point P on the ellipse 16x^2 + 25y^2 = 400. So, the correct option is B).

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Related Questions

When listing all the pairs of factors for a particular term, the is being used.

Answers

When listing all the pairs of factors for a particular term, the factorization process is used.

How is factorization used?

This process is fundamental in number theory and is used to break down composite numbers into their simplest building blocks: prime numbers.

For example, if we want to find all pairs of factors for the number 24, we could follow these steps:

Start with 1 and the number itself (in this case 24), as these are always factors.

Check if 2 divides 24 evenly. If it does, then 2 and 24/2 (which is 12) are a pair of factors.

Continue this process with increasing numbers. Check 3 (yes, it works, with the pair being 3 and 8), 4 (yes, with the pair being 4 and 6), and so on.

When the numbers you're testing exceed the square root of the original number (approximately 4.9 for 24), you can stop, as you'll have found all pairs.

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A class of students studied in preparation for the regent's exam. Its average score was initially 65, but because the students studied, this average grew at a rate of 1.1% each day.

a.) Write a function that would represent the average of the class.

b.) What would the average of the class be after one week?

Answers

A) The function that represents the average of the class is;

y = 65(1.011)^(x)

B) The average of the class after one week will be expressed as;

y = 70.17

How to solve Geometric Progression?

The general formula for the nth term of a exponential function is;

y = ab^(x)

where;

a is initial amount

b is growth factor

x is the amount of periods being considered

Now, we are told that the initial score for the exam was 65. Thus;

a = 65

The growth factor is 1.1% and this is; b = 1.011

Thus, the function that represents the average of the class is;

y = 65(1.011)^(x)

The average of the class after one week will be expressed as;

y = 65(1.011)^(7)

y = 70.17

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) Emily's Soccer Mania is considering building a new plant. This project would require an initial cash outlay of $10 million and would generate annual cash inflows of $3 million per year for years one through four. In year five the project will require an investment outlay of $5 million. During years 6 through 10 the project will provide cash inflows of $5 million per year. Calculate the project's MIRR, given a discount rate of 10 percent.

Answers

The MIRR for Emily's Soccer Mania project is around 12.22 percent.

To calculate the Modified Internal Rate of Return (MIRR) for Emily's Soccer Mania project, we need to consider the cash inflows and outflows over the project's lifespan. Given the provided information, let's break it down step by step.

Determine the net cash flows:

Year 0: Initial cash outlay of $10 million (negative)

Years 1-4: Annual cash inflows of $3 million each year

Year 5: Investment outlay of $5 million (negative)

Years 6-10: Annual cash inflows of $5 million each year

To calculate the net cash flows for the project, we need to consider the present value of each cash flow at a discount rate of 10 percent.

Year 0: -$10 million (no discounting necessary)

Years 1-4: $3 million / (1 + 0.10)^t, where t is the year (1-4)

Year 5: -$5 million / (1 + 0.10)^5

Years 6-10: $5 million / (1 + 0.10)^t, where t is the year (6-10)

Calculate the present value of the cash inflows:

Using the formula mentioned above, we calculate the present value of the cash inflows for each year:

Year 0: -$10 million

Year 1: $3 million / (1 + 0.10)^1 = $2.727 million

Year 2: $3 million / (1 + 0.10)^2 = $2.479 million

Year 3: $3 million / (1 + 0.10)^3 = $2.254 million

Year 4: $3 million / (1 + 0.10)^4 = $2.052 million

Year 5: -$5 million / (1 + 0.10)^5 = -$3.170 million

Year 6: $5 million / (1 + 0.10)^6 = $3.168 million

Year 7: $5 million / (1 + 0.10)^7 = $2.879 million

Year 8: $5 million / (1 + 0.10)^8 = $2.618 million

Year 9: $5 million / (1 + 0.10)^9 = $2.384 million

Year 10: $5 million / (1 + 0.10)^10 = $2.175 million

Calculate the terminal value:

The terminal value represents the future value of the cash inflows from years 6-10 compounded at the discount rate of 10 percent for five years. We sum up the future values for each cash inflow from years 6-10:

Terminal Value = ($5 million / (1 + 0.10)^6) + ($5 million / (1 + 0.10)^7) + ($5 million / (1 + 0.10)^8) + ($5 million / (1 + 0.10)^9) + ($5 million / (1 + 0.10)^10)

= $12.190 million

Calculate the MIRR:

The MIRR can be calculated by finding the rate of return that equates the present value of the outflows (initial investment) to the present value of the inflows (cash inflows and terminal value). We solve for the discount rate that makes the net present value (NPV) of the project equal to zero.

Using a financial calculator or a spreadsheet software, we can find that the MIRR for the project, given a discount rate of 10 percent, is approximately 12.22 percent.

Therefore, the MIRR for Emily's Soccer Mania project is around 12.22 percent.

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A common aspect ratio for computer screens today is width : height = 16 : 9. The advertised size of a screen is given by the measure of its diagonal. Measure the width, height, and diagonal of at least three screens (computers, tablets, phones) in your home. Are they similar? How do you know? Are any of your screens congruent? If so, what postulates prove it? List your measurements and describe your findings carefully.

Please follow these guidelines for your discussion posts:

Write at least 150–300 words.

Answers

A common aspect ratio for computer screens is 16:9, which means that for every 16 units of width, there are 9 units of height. This aspect ratio is also used on many televisions and mobile devices.

How to explain the ratio?

If a screen has an aspect ratio of 16:9, the width and height will be similar on all screens with this aspect ratio. However, the diagonal measurement will vary depending on the size of the screen.

Congruent screens are two or more screens that have the same dimensions. Two screens are congruent if and only if corresponding sides are equal and corresponding angles are equal. This can be proven using the postulates of congruence, such as the SSS (Side-Side-Side) postulate or the SAS (Side-Angle-Side) postulate.

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PLSSS HELP ME! WILL GIVE BRAINLIEST WHEN I CAN

PLSSS HELP ME! WILL GIVE BRAINLIEST WHEN I CAN
PLSSS HELP ME! WILL GIVE BRAINLIEST WHEN I CAN
PLSSS HELP ME! WILL GIVE BRAINLIEST WHEN I CAN
PLSSS HELP ME! WILL GIVE BRAINLIEST WHEN I CAN
PLSSS HELP ME! WILL GIVE BRAINLIEST WHEN I CAN

Answers

Answer:

first one: 5/8

second one; 1/2

third one 2/7

fourth one 3/14

fifth one 1/11

I hope this is good enough:

Use slopes to determine if the lines 5x−4y=−1 and 4x−y=−9 are perpendicular.

Answers

Answer:

Not perpendicular

Step-by-step explanation:

Convert it to y-intercept form first:

5x - 4y = -1

-4y = -5x - 1

y = 5/4x + 1/4

4x - y = -9

-y = -4x - 9

y = 4x + 9

y = 5/4x + 1/4

y = 4x + 9

From the slopes, they are not considered perpendicular because one of the line slope is not a negative reciprocal of the other line slope.

Answer:

The lines are not perpendicular.

Step-by-step explanation:

If the lines are perpendicular, the product of the slopes should be -1.

These equations are in standard form (Ax + By = C), so we can easily find the slopes through using equation: slope= - A / B

For line 5x−4y=−1,

slope = -A / B

= - 5 /- 4

= 5/4

For line 4x−y=−9

slope = -A / B

= - 4 / -1

= 4

Now multiply the slopes to find the product:

5 /4 x 4

= 5

Since 5 ≠ -1, the lines are not perpendicular.

based on the graph how many tiles are im figure 0

based on the graph how many tiles are im figure 0

Answers

For figure {0}, the number of tiles will be equal to 2.

What is a mathematical function, equation and expression?          

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

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Challenge Word Problems
1. A 747 Airplane la 762 Inohos tall. How fall to it in foot?
2. The river raft ride at the amusement park oan hold 12 riders at a
time. There are 527 people in line. How many times will the ride need
to run in order to get all 527 people through the ride?
3. One school bus can hold 46 students. There are 24 students in each
of the 5 fifth grade classes. How many buses will they need in order to
transport everyone to the zoo for a field trip?
4. Write and solve a word problem that requires long division AND has a
remainder.
02014 Tedoning Wittra Mountain View
ඉල ම
Ye

Answers

A) A 747 Airplane is 762 inches tall. 762 inches is equal to 63.5 feet, so the airplane is 63.5 feet tall.

What is airplane?

An airplane is a type of aircraft that is heavier than air and propelled by one or more jet engines. It is used for transport across long distances, typically carrying passengers and cargo.

The river raft ride at the amusement park can hold 12 riders at a time. 527 people divided by 12 riders per ride is 44.75. This means the ride will need to run 44 times in order to get all 527 people through the ride.
One school bus can hold 46 students. There are 24 students in each of the 5 fifth grade classes. 24 students times 5 classes is 120 students, so they will need 3 buses in order to transport everyone to the zoo for a field trip.
Write and solve a word problem that requires long division AND has a remainder.
Samantha has 192 lollipops. She wants to evenly divide them into bags of 10. How many bags will she need and how many lollipops will be left over?
192 divided by 10 is 19 with a remainder of 2. Samantha will need 19 bags and will have 2 lollipops left over.


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for 12 days, Keisha keeps track of how much water she drinks per day. her results are shown below
1 1/2quarts 2 1/4quarts 2quarts 1 1/2quarts 1 3/4 quarts 1 1/2 quarts
1 1/4quarts 2quarts 2 1/4quarts 1 1/2quarts 2 quarts 1 /2quarts

what is the amount of water that Keisha drinks during 12 days ?

what is the average amount of water that Keisha drinks per day ?

at how many days did Keshia drink at least the average amount of water?

STRETCH YOUR THINKING on day 13 Keisha drinks 1 quart of water how does that affect the average amount of water she drinks ? EXPLAIN

Answers

The total amount of water that Kiesha drinks in 12 days is 20 quarts

The average amount of water she drinks per day is 1 2/3 quarts

The number of days that Keshia drinks at least the average amount of water is 6 days

If she drinks 1 quart of day 13, the average reduces.

What is the average ?

The total amount of water drank in the 12 days can be determined by adding the quarts for each day together. When they are added together, the number is 20 quarts.

Average = total amount drank / number of days 1 2/3 quarts

New average = 20 + 1 / 13 = 21 / 13 = 1 7/13 quarts

The average reduces because the quart drank on the 13th day is less than the amount of water drank on the other days.

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Can u pleaseee answer all parts pleaseeeee <3333
please help meee

Can u pleaseee answer all parts pleaseeeee &lt;3333please help meee
Can u pleaseee answer all parts pleaseeeee &lt;3333please help meee

Answers

a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

How do you express a data set in interval notations?

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

Cost increase from 12 to 3pm,

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

The time interval where the cost is lower

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

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please help me in this question please ​

please help me in this question please

Answers

Answer:

2x=x+30 [vertically opposite angle]

or,2x-x=30

:.x=30

Answer:

2x = x+30

2x - x = 30

X = 30

And goodluck

what is 10x9= what is the answer to my questions slows

Answers

Answer:

90.

Step-by-step explanation:

10, 9 times, means you're adding 10+10+10+10+10+10+10+10+10=90.

90 is the answer it’s the answer

Calc II Question

The base of s is an elliptical region with boundary curve 9x^2 + 4y^2 = 36
Cross sections perpendicular to the x axis are isoscelees right triangle with hypotension in the base.


Correct answer is 24 but I don't know how they go that

Answers

Answer:

See below for explanation

Step-by-step explanation:

The area of an isosceles triangle is \(A=\frac{1}{2}bh\), so let's write the base as an equation of y:

\(\displaystyle 9x^2+4y^2=36\\\\4y^2=36-9x^2\\\\y^2=9-\frac{9}{4}x^2\\\\y=\pm\sqrt{9-\frac{9}{4}x^2\)

As you can see, our ellipse consists of two parts, so the hypotenuse of each cross-section will be \(\displaystyle 2\sqrt{9-\frac{9}{4}x^2\), and each height will be \(\displaystyle \sqrt{9-\frac{9}{4}x^2}\).

Hence, the area function for our cross-sections are:

\(\displaystyle A(x)=\frac{1}{2}bh=\frac{1}{2}\cdot2\sqrt{9-\frac{9}{4}x^2}\cdot\sqrt{9-\frac{9}{4}x^2}=9-\frac{9}{4}x^2\)

Since we'll be integrating with respect to x because the cross-sections are perpendicular to the x-axis, then our bounds will be from -2 to 2 to find the volume:

\(\displaystyle V=\int^2_{-2}\biggr(9-\frac{9}{4}x^2\biggr)\,dx\\\\V=9x-\frac{3}{4}x^3\biggr|^2_{-2}\\\\V=\biggr(9(2)-\frac{3}{4}(2)^3\biggr)-\biggr(9(-2)-\frac{3}{4}(-2)^3\biggr)\\\\V=\biggr(18-\frac{3}{4}(8)\biggr)-\biggr(-18-\frac{3}{4}(-8)\biggr)\\\\V=(18-6)-(-18+6)\\\\V=12-(-12)\\\\V=12+12\\\\V=24\)

Therefore, this explanation confirms that the correct volume is 24!


A. Range
B. Mode
C.mean
D.median

Please help me for a test i will give you a lot of Brainly points

A. Range B. Mode C.mean D.median Please help me for a test i will give you a lot of Brainly points

Answers

Answer:

Step-by-step explanation:

A range

*20 points*
A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images.
Sample 1: 4
Sample 2: 1
Sample 3: 9
How do the sample statistics compare to the population mean and standard deviation?

Answers

There will be about 6.25 sheep on each acre.  

250/40 = 6.25

The graph shown below expresses a radical function that can be written in the form f(x)= a(x + k)^1/n +C. What does the graph tell you about the value of c in this function?

The graph shown below expresses a radical function that can be written in the form f(x)= a(x + k)^1/n

Answers

Answer:

  C.  c is less than zero

Step-by-step explanation:

The parent radical function y=x^(1/n) has its point of inflection at the origin. The graph shows that point of inflection has been translated left and down.

Function transformation

The transformation of the parent function y=x^(1/n) into the function ...

  f(x) = a(x +k)^(1/n) +c

represents the following transformations:

vertical scaling by a factor of 'a'left shift by k unitsup shift by c units

Application

The location of the inflection point at (-3, -4) indicates it has been shifted left 3 units, and down 4 units. In the transformed function equation, this means ...

k = 3c = -4

The graph says the value of c is less than zero.

__

Additional comment

Apparently, the value of 'a' is 2, and the value of n is 3. The equation of the graph seems to be ...

  f(x) = 2(x +3)^(1/3) -4

I NEED THIS ASAP

In the diagram below, besides those facts shown, we also have AB = AC. Find the measure of angle A. Please show your work.

I NEED THIS ASAPIn the diagram below, besides those facts shown, we also have AB = AC. Find the measure

Answers

Not sure but try a tutor they help a lot really quick

What is -20 ÷ 4/5 1.-25 2.-16 3. 1/16 4. 1/25 ​

Answers

The solution to the simplification is  -25.

what is simplification

Simplification or simplify fractions means to simplify a complicated mathematical expression to get a single or direct answer

-20 ÷ 4/5

rewrite the equation

-20 x 5/4

Multiply the fraction

-100/4

Divide the fraction

=-25

Therefore, the correction option from option 1 to 4  is 1. which is -25

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Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples and 2
pounds of bananas for a total of $5.25. This system of equations represents the situation, where x is the cost per
pound of apples, and y is the cost per pound of bananas.
5x + 3y = 8.5
3x + 2y = 5.25
If you multiply the first equation by 2, what number should you multiply the second equation by in order to eliminate
the y terms when making a linear combination?
Complete the multiplication and add the equations. What is the result?
What is the price per pound of apples? $
What is the price per pound of bananas?

Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples

Answers

Answer:

price per pound of apple = $1.25

price per pound of banana = $0.75

Step-by-step explanation:

Your first question is what value should you multiply the second equation by in order to eliminate the y terms.

The number should be 3.  Let us multiply the first equation by 2 and the second equation by 3 and see how y will be eliminated.

10x + 6y = 17...............(i)

9x + 6y = 15.75...........(ii)

10x - 9x  = x

6y - 6y = 0

17 - 15.75 = 1.25

x = 1.25

let us find y

10x + 6y = 17...............(i)

10(1.25) + 6y = 17

12.5  + 6y = 17

6y = 17 - 12.5

6y = 4.5

divide both  sides by 6

y = 4.5/6

y = 0.75

In order to eliminate y term from the system of equations we multiply equation 2 by -3.

The price per pound of apple is 1.25 dollars and the price per pound of bananas is 0.75 dollars.

Given equations,

\(5x + 3y = 8.5\).........(1)

\(3x + 2y = 5.25\).......(2)

Here x is the cost per  pound of apples, and y is the cost per pound of bananas.

According to the question, multiply the first equation by 2, we get

\(10x+6y=17\).....(3)

So, in order to eliminate y term from the system of equations we multiply equation 2 by -3, we get

\(-9x-6y=15.75\).....(4)

Now Adding (3) and (4) equation, we get

\(x=1.25\)

Putting the above value of x in equation 3 we get,

\(10\times1.25+6y=17\\12.5+6y=17\\6y=17-12.5\\6y=4.5\\y=\frac{4.5}{6} \\y=0.75\)

Hence the price per pound of apple is 1.25 dollars and the price per pound of bananas is 0.75 dollars.

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Theresa has a pile of sand grains and salt grains mixed together. She wants to separate the sand from the salt. What method can she use to separate these two substances?

Answers

Answer:

the answer is A

Step-by-step explanation:

Answer:

A. heat the pile to 100c so that half the pile boils

Step-by-step explanation: I just took the test :)

PLEASE HELP!

Determine the terms and the coefficients of the terms for the
polynomial

x^2-3x+2

Complete the table for the polynomial

PLEASE HELP!Determine the terms and the coefficients of the terms for thepolynomialx^2-3x+2Complete the

Answers

Answers in bold

\(\begin{array}{|c|c|} \cline{1-2}\text{Term} & \text{Coefficient}\\\cline{1-2}\text{x}^2 & \boldsymbol{1}\\\cline{1-2}\boldsymbol{-3\textbf{x}} & -3\\\cline{1-2}2 & \boldsymbol{2}\\\cline{1-2}\end{array}\)

Explanation:

The given expression \(\text{x}^2-3\text{x}+2\) is the same as \(\text{x}^2+(-3\text{x})+2\)

This leads to the three terms as shown in the table above. Each term is separated by a plus sign.

The coefficient is the number to the left of the variable. Think of \(\text{x}^2\) as \(1\text{x}^2\) and think of \(2\) as \(2\text{x}^0\)

In other words, \(\text{x}^2-3\text{x}+2\) is the same as \(1\text{x}^2+(-3\text{x})+2\text{x}^0\)

Ms. Chung drives the same distance to go to work every Monday through Friday. On Saturday she drove g the distance she drives to work. The distance she drove on Saturday was 0.9 miles. Part A: In the first box, enter an equation to represent the distance, d, that Ms. Chung drives to work. Part B: In the second box, enter the distance Ms. Chung drives to work.

Answers

A) The algebraic expression will be 12d + 7 = 91

B) He drives 7 miles per day to work.

For 11 days straight, Ms. Chung drove the same distance every day going to and coming from work.

The distance she drove on Saturday was; 0.9 miles.

The number of miles she drives per day:

84 miles/12

= 7 miles per day

Let the number of miles she travels be day = d

12d + 7 = 91 miles

12d + 7 = 91

12d = 91 - 7

12d = 84

d = 84/12

d = 7 miles per day

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A scientist has two solutions what she has labeled solution a and solution b each contains salt she knows that solution a is 60% salt and solution b is 85% salt she wants to obtain 70 ounces of a mixture that is 80% salt how many ounces of each solution should she use

Answers

Solving a system of equations we can see that:

She needs to use 56 oz of the 85% solution.She needs to use 14 oz of the 60% solution.How many ounces of each solution should she use?

We can use the variables:

x = mass of the 60% solution.

y = mass of the 85% solution.

We can write a system of equations.

x + y = 70

x*0.6 + y*0.85 = 70*0.8

We can isolate x on the first equation to get:

x = 70 - y

Replace that in the other one:

(70 - y)*0.6 + y*0.85 = 70*0.8

Now we can solve this for y.

y*0.25 = 70*0.8 - 70*0.6

y = 14/0.25 = 56

Then he needs to use 56 ounces of the 85% solution, and 14 ounces of the 60% solution.

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Andrew is preheating his oven before using it to bake. The initial temperature of the oven is 65° and the temperature will increase at a rate of 10° per minute after being turned on. What is the temperature of the oven 15 minutes after being turned on? What is the temperature of the oven t minutes after being turned on?

Answers

Answer:

see belwo

Step-by-step explanation:

65

increase 10/min

in 15min it'll increase 150

so 65+150 =215

over t mins it'll be 65+10*t

Answer: 215°

t = minutes after being turned on

If the oven temperature increases by 10 per minute, and the initial temperature is 65, this can be represented as:

65 + 10t

After 15 minutes:

65 + 10(15)

65 + 150

215°

If x = temperature of the oven, the temperature of the oven t minutes after being turned on is:

65 + 10t = x

An engineer is monitoring the liquid level in two tanks as they are being filled. The volume of the tank A after x minutes is represented by the equation y=75x +110. For tank B the engineer has created a table, shown below, from measurements taken while the tank is being filled

Answers

The two tanks differ in terms of Filling rates and initial volumes.

We can work with the equation for tank A, which represents a linear relationship between the volume of liquid in the tank (y) and the time it has been filling (x).

The equation y = 75x + 110 tells us that the tank A is filling at a constant rate of 75 units per minute, starting with an initial volume of 110 units.

To analyze the data for tank B, we would need to know the volumes of the tank at different times as it is being filled.

If the relationship for tank B is also linear, we could find the equation that represents it by using two points from the table and the slope-intercept form of a linear equation (y = mx + b). Once we have both equations, we can compare them to see how the two tanks differ in terms of filling rates and initial volumes.

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An engineer is monitoring the liquid level in two tanks as they are being filled. The volume of the tank

When compared with the independent variable, how
many
of the graphs represent a linear relationship? 0 1 2 3

Answers

Answer:

2

Step-by-step explanation:

I've done this lesson before a while ago and still remember the answer. (I hope its the same question that I had because the sentence is definitely the same.)

Determine whether each of the following equations is a function from x to y.

a. y = 2x + 1
b.1 = 2y – 4x
c. y2 – 1 = x

Answers

Answer:

a. y = 2x + 1: Not from x to y

b.1 = 2y – 4x: Not from x to y

c. y^2 – 1 = x: This is a function from x to y

Step-by-step explanation:

We are to determine whether or not the equations are function from x to y

Given the function y = f(x)

y is a dependent variable while the input variable is an independent variable. So we can say y is a function from y to x.

Also x = f(y) can be expressed as equation of a function from x to y i.e x is dependent and the input variable is independent

From tthe following options, the equation that is a function from x to y is

y² – 1 = x

This can also be written as x = y² – 1 where f(y) is y² – 1

The rest are not a function of x to y but otherwise unless re-written

Container A has 300 liters of water, and is being filled at a rate of 6 liters per minute. Container B has 900 liters of water, and is being drained at 2 liters per minute. How many minutes, m, will it take for the two containers to have the same amount of water?

Answers

It will take 150 minutes for the two containers to have the same amount of water.

To find the number of minutes it will take for the two containers to have the same amount of water, we need to use the following formula:

m = |A - B| / (a - b)

where m is the number of minutes, A is the initial amount of water in Container A, B is the initial amount of water in Container B, a is the rate at which water is being added to Container A, and b is the rate at which water is being drained from Container B.

In this case, the initial amount of water in Container A is 300 liters, the initial amount of water in Container B is 900 liters, the rate at which water is being added to Container A is 6 liters per minute, and the rate at which water is being drained from Container B is 2 liters per minute. Substituting these values into the formula, we get:

m = |300 - 900| / (6 - 2)

m = |-600| / 4

m = 600 / 4

m = 150 minutes

Therefore, it will take 150 minutes for the two containers to have the same amount of water.

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Please solve this l am in many problem please please please please help me ​

Please solve this l am in many problem please please please please help me

Answers

Answer:

h) a+20 = 80 (vert. opp angles)

a = 60

i) 3a+48 = 180

3a = 132

a = 44

a) 3x + 2x = 180

5x = 180

x = 36

∡y = 72

∡z = 108

∡r = 144

∡x = 180-144 = 36

b) p:b = 3:1

4u = 180

u = 45

∡p = 135

∡b = 45

∡q = ∡p = 135 (vert. opp)

∡a = ∡b = 45 (vert. opp)

Answer:

hello,

as i have taken the time to draw the picture

Step-by-step explanation:

Please solve this l am in many problem please please please please help me

Order the numbers from greatest to least.

4. 234,358; 23,208; 23,098​

Answers

Answer:

23,098; 23,208 ; 234,358

Step-by-step explanation:

Hope this helps

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