Make x the subject of m=n+x/p

So, the circle graph entitled New York City visitor's transportation with five sections labelled walk 40%, bicycle 8%, car service 15%, bus 10%, and subway 27% is the proper option that displays the data in the circular graphs.

A circle represents 360 degrees. A circle can be split up into smaller sections. An arc is a segment of a circle, and arcs are named based on their angles.

To illustrate information and data, use a circle graph or pie chart. Often, a circle graph is used to quickly and proportionately display the findings of an investigation.

Given data:

Type of Transportation      Number of Visitors  Percentage

Walk                                    120                            120*100/ 300 = 40%

Bicycle                                 24                            24*100/ 300 = 8%        

Car Service                         45                            45*100/ 300 = 15%

Bus                                      30                            30*100/ 300 = 10%

Subway                               81                             81*100/ 300 = 27%

Total                                   300

So, the circle graph entitled New York City visitor's transportation with five sections labelled walk 40%, bicycle 8%, car service 15%, bus 10%, and subway 27% is the proper option that displays the data in the circular graphs.

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The dissociation curve is a graphical representation of the relationship between the fractional saturation of hemoglobin (Y-axis) and the partial pressure of oxygen (X-axis) under specific conditions. It provides important information about the binding and release of oxygen by hemoglobin.

The dissociation curve for hemoglobin exhibits a sigmoidal (S-shaped) shape. At low partial pressures of oxygen, such as in tissues, hemoglobin has a low affinity for oxygen and only binds a small amount. As the partial pressure of oxygen increases, hemoglobin's affinity for oxygen increases, resulting in a rapid increase in the binding of oxygen molecules. However, once the hemoglobin becomes nearly saturated with oxygen, the curve levels off, indicating that further increases in partial pressure have minimal effects on oxygen binding.

To calculate the fractional saturation of hemoglobin at a given partial pressure of oxygen, you can use the Hill equation:

Y = [O2]^n / ([O2]^n + P50^n)

Where:

Y is the fractional saturation of hemoglobin,

[O2] is the partial pressure of oxygen,

P50 is the partial pressure of oxygen at which hemoglobin is 50% saturated,

n is the Hill coefficient, which represents the cooperativity of oxygen binding.

To determine the P50 value experimentally, the partial pressure of oxygen at which hemoglobin is 50% saturated, you can plot the dissociation curve and identify the point where the curve reaches 50% saturation.

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Answer:

1638392772127273930337733930282823829393

The System Effectiveness is approximately 0.763.

To calculate the System Effectiveness, we need to multiply the values of Operational Readiness, Design Adequacy, Availability, Maintainability, and Mission Reliability.

System Effectiveness = Operational Readiness * Design Adequacy * Availability * Maintainability * Mission Reliability

Plugging in the given values:

System Effectiveness = 0.89 * 0.95 * 0.98 * 0.93 * 0.99

System Effectiveness ≈ 0.763

Therefore, the System Effectiveness is approximately 0.763.

The correct answer is a. 0.763.

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The two-way table is of the class survey is:
                         Vanilla Ice Cream  |  Strawberry Ice Cream  |  Total
Chocolate Cake      |          12                   |             3                        |     15
Yellow Cake           |          11                   |             4                        |     15
Total                     |          23                   |             7                        |     30

A two-way table summarizing the data from Mrs. Robinson's class survey on cake and ice cream preferences can be constructed as follows.

1: Create a table with rows for Chocolate Cake and Yellow Cake, and columns for Vanilla Ice Cream, Strawberry Ice Cream, and Total.

2: Fill in the given information:

3: Complete the table using the given information:

So, the completed two-way table is:
                         Vanilla Ice Cream  |  Strawberry Ice Cream  |  Total
Chocolate Cake      |          12                   |             3                        |     15
Yellow Cake           |          11                   |             4                        |     15
Total                     |          23                   |             7                        |     30

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Answer:  y = (1/3)x - 5

This is the same as writing \(y = \frac{1}{3}x-5\)

======================================================

Explanation:

Assume we have a linear pattern matching the form y = mx+b.

The first row has x = 12 lead to y = -1

The second row has x = 3 lead to y = -4

This produces the two points (12,-1) and (3,-4)

Let's find the slope through those points.

m = (y2-y1)/(x2-x1)

m = (-4-(-1))/(3-12)

m = (-4+1)/(3-12)

m = -3/(-9)

m = 1/3

The slope is 1/3.

The y intercept is b = -5 since x = 0 leads to y = -5

We go from y = mx+b to y = (1/3)x - 5

--------------------------

To verify we have the correct equation, plug in each left side value as x values.

Let's try x = 12

y = (1/3)x - 5

y = (1/3)*12 - 5

y = 4 - 5

y = -1

This shows that the input x = 12 maps to the output y = -1

i.e.  12 ↦ −1 is the case here.

Repeat for x = 3

y = (1/3)x - 5

y = (1/3)*3 - 5

y = 1 - 5

y = -4

We can see that 3 ↦ −4 occurs.

I'll let you check the others, but you should find that the other mappings hold true as well. Therefore, the answer has been fully confirmed.

Answer:

61°

Step-by-step explanation:

For parellel lines cut by a transversal corresponding angles are equal.

Answer:

x + y = 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

x + y = 4 ( subtract x from both sides )

y = - x + 4 ← in slope- intercept form

with slope m = - 1

Parallel lines have equal slopes , then

y = - x + c ← is the partial equation

To find c substitute (3, 2 ) into the partial equation

2 = - 3 + c ⇒ c = 2 + 3 = 5

y = - x + 5 ( add x to both sides )

x + y = 5 ← equation of parallel line

Answer:

m<PQT= 94°

Step-by-step explanation:

If line QS bisect <PQR

m<PQS = m < SQR

7x-6= 4x+15

7x-4x= 15+6

3x= 21

X= 21/3

X= 7

m<PQS= 7x-6

m<PQS= 7(7)-6

m<PQS= 49-6

m<PQS= 43°

m<PQS= m<SQR

<mSQR=43°

m<PQR= m<PQS + m < SQR

m<PQR=43+43

m<PQR= 86°

BUT

m<PQR= m<TQW

m<PQT= m<RQW

m<PQR+m<TQW +m<PQT+ m<RQW

= 360°

Let m<TQW= x

86+86+x+x= 360

2x+172= 360

2x= 188

X= 94°

m<PQT= 94°

The minimum yield value of the key material should be determined based on the yield stress of the shaft, which is 36 kg/m², the dimensions of the key, and the safety factor of 2.

To ensure that the key smoothly transmits the torque of the shaft, it is essential to choose a key material with a minimum yield value that can withstand the applied forces without exceeding the yield stress of the shaft.

The dimensions of the key given are 20x20x120 mm. To calculate the torque transmitted by the key, we need to consider the dimensions and the applied forces. However, the specific values for the applied forces are not provided in the question.

The safety factor of 2 indicates that the material should have a yield strength at least twice the expected yield stress on the key. This ensures a sufficient margin of safety to account for potential variations in the applied forces and other factors.

To determine the minimum yield value of the key material, we would need additional information such as the expected torque or the applied forces. With that information, we could calculate the maximum stress on the key and compare it to the yield stress of the shaft, considering the safety factor.

Please note that without the specific values for the applied forces or torque, we cannot provide a precise answer regarding the minimum yield value of the key material.

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Radical Equations

Step 1

To demonstrate how to solve a radical equation, let's use the following equation as an example:

The percentile score of 71 on test score is 27 and the score of victor is 71.

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.

Given, the teacher recorded unit 4 test scores from class.

The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.

A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.

The percentile rank of a score of 71 on the test is find by formula

\(R_{100} =\frac{100(N < )+\frac{1}{2} }{N}\)

=100×4+1/2(1)/15

=400+0.5/15

=400.5/15

=26.7=27th

Now we need to find the score of victor who has 60th percentile.

60=Score/15

score=71

Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.

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The sailboat and the medical aid should meet at the points

(0, 7) and (5, 12).

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

The intersection point between the two graphs y = - x² + 6x + 7 and y = x + 7 is the point where they meet each other.

Now, For the equation y = - x² + 6x + 7,

When x = 0, y = 7 ⇒ (0, 7).

when x = 1, y = 12 ⇒ (1, 12).

Now for y = x + 7,

when x = 1, y = 8 ⇒ (1, 8).

when x = 2, y =9 ⇒ (2, 9).

Now by taking the graph paper with each box of 1 square unit will plot these points and we obtain that at (0, 7) and (5, 12) these graphs intersect each other.

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(a) The time (in h) will the plane take to reach the city is 7.09 hours or 7.1 hours.

(b) The plane flies through a constant tailwind blowing at 53.5 km/h, the time (in h) will it take to reach the city is 3.58 hours or 3.6 hours.

(c) The plane flies through a constant crosswind blowing east at 53.5 km/h, the time (in h) will it take to reach the city is infinite.

(a) To find the time it will take for the plane to reach the city with a headwind, we need to first find the plane's ground speed. The ground speed is the speed of the plane relative to the ground. We can find the ground speed by subtracting the speed of the headwind from the plane's airspeed.

Ground speed = Airspeed - Headwind speed

Ground speed = 163 km/h - 53.5 km/h

Ground speed = 109.5 km/h

Now that we know the ground speed, we can use the formula:

Time = Distance ÷ Speed

Time = 776 km ÷ 109.5 km/h

Time = 7.09 hours or 7.1 hours

(b) To find the time it will take for the plane to reach the city with a tailwind, we need to first find the plane's ground speed. The ground speed is the speed of the plane relative to the ground. We can find the ground speed by adding the speed of the tailwind to the plane's airspeed.

Ground speed = Airspeed + Tailwind speed

Ground speed = 163 km/h + 53.5 km/h

Ground speed = 216.5 km/h

Now that we know the ground speed, we can use the formula:

Time = Distance ÷ Speed

Time = 776 km ÷ 216.5 km/h

Time = 3.58 hours or 3.6 hours

(c) To find the time it will take for the plane to reach the city with a crosswind, we need to first find the component of the crosswind that is perpendicular to the plane's direction of travel. This component will not affect how long it takes for the plane to reach its destination.

Component of crosswind = Crosswind speed × sin(angle between direction of travel and crosswind)

Component of crosswind = 53.5 km/h × sin(90°)

Component of crosswind = 53.5 km/h

Now we can find the ground speed of the plane relative to its direction of travel:

Ground speed = Airspeed × cos(angle between direction of travel and crosswind)

Ground speed = 163 km/h × cos(90°)

Ground speed = 0 km/h

Since the ground speed is 0 km/h, the plane will not make any progress towards its destination. Therefore, it will take an infinite amount of time to reach the city with a crosswind.

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Answer:

x = 10-3y whole divided by 5

Step-by-step explanation:

- divide by 3

-subtract 5x

-simplify - y=-5/3x+10/3

hope it helps i think its wrong tho

Answer:

5x + 3y = 10

Subtract 5x from both sides

Divide everything by 3

y = \(\frac{-5}{3}\) x + \(\frac{10}{3}\)

Step-by-step explanation:

5x + 3y = 10    Given

5x + 3y = 10  Subtract 5x from both sides

5x - 5x + 3y = -5x + 10

3y = -5x + 10    Divide everything by 3

\(\frac{3y }{3}\) = \(\frac{-5}{3}\) x + \(\frac{10}{3}\)

y = \(\frac{-5}{3}\) x + \(\frac{10}{3}\)

Thethe inverse of f(x) and its domain can be written as  f-¹(x) =  1/(x+1 )- 5 where x \(\neq\)-1

Given : f (x) = 1/(x+5 )-1

we can make f(x) as y which implies that  f(x) = y

Then we will have  y= 1/(x+5) -1

if we flip x as well as y the we weill have ,

x= 1/y+5 -1

we can rearrange as ( x+1)=  1/(y+5 )

making y+5 the subject of the formular, we have

( y+5)=  1/(x+1 )

y=  1/(x+1 )- 5

f-¹(x) =  1/(x+1 )- 5

x+1 \(\neq\) 0

x \(\neq\) -1

Therefore, option C is correct which is f-¹(x) =  1/(x+1 )- 5 where x \(\neq\)-1

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properly written question:

15 points f (x) = 1/x+5 -1. Find the inverse of (x) and its domain.

Answer: range is 10 hope it helps

Step-by-step explanation:

The graph at the end of the response provides the dilated figure, which has the same format as the original figure but reduced side lengths as a result of the dilation with a scale factor of less than 1.

To make an opening or hollow structure wider or larger than usual, such as a blood vessel or the pupil of an eye.

The process of dilation entails growing an object's size without changing its shape.

The size of the object may rise or decrease depending on the scale factor.

Using dilation maths, a square with a side of 5 units can be made wider to have a side of 15 units, yet the square retains its original shape.

So, the coordinates of each vertex of the figure are multiplied by the scale factors to create a dilatation in the image.

The vertices for the original figure that was graphed are listed as follows:

I(0,6).

H(3,6).

G(9,0).

F(-6,-9).

E(-6,-6).

The coordinates of the resulting image are presented as follows since the dilation has a scale factor of 1/3, which means that the coordinates are multiplied by 1/3:

I'(0,2).

H'(1,2).

G'(3,0).

F'(-2,-3).

E'(-2,-2).

Therefore, the graph at the end of the response provides the dilated figure, which has the same format as the original figure but reduced side lengths as a result of the dilation with a scale factor of less than 1.

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Correct question:

The figure below is dilated by a factor of centered at the origin. Plot the resulting image. -109 -11 E Click twice to plot a segment. Click a segment to delete it. 4 -5 7 F A -9 10 9 B 4 I d 3 P BI 1 9 H 3 4 6 6 M​

Answer:

One liter of water.

A Pineapple.

A Bunch of Bananas.

A 1 liter bottle of water

Answer:

x axis and y axis

Step-by-step explanation:

slope is -1/4 and y intercept is 1 from the given graph.

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

From the graph let us take any two points.

(4, 0) and (0,1 ) are two points.

Slope =1-0/0-4

=-1/4

Now let us find y intercept.

1=-1/4(0)+b

b=1

So y intercept is 1.

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Answer: 23.25

Step-by-step explanation:

to find mean add all yours values up and than divide by the number of values in the equation, so 5+9+6+73= 93 and than divide it by 4, which gets u 23.25

Required total number of marbles were 478 in Box A.

To find the number of marbles in Box A, given that Box A and B had a total of 560 marbles, and Box A and C had a total of 438 marbles, follow these steps:

Step 1: Let the number of marbles in Box A be x, Box B be y, and Box C be z.

Step 2: From the given information, we have two equations:

x + y = 560 (Equation 1)

x + z = 438 (Equation 2)

Step 3: Also, we know that there were half as many marbles in Box C as in Box B. So,

z = 0.5y (Equation 3)

Step 4: Substitute Equation 3 into Equation 2:

x + 0.5y = 438

Step 5: Solve for y in terms of x:

y = 2(x - 438)

Step 6: Substitute this expression for y back into Equation 1:

x + 2(x - 438) = 560

Step 7: Solve for x:

x + 2x - 876 = 560

3x = 1436

x = 478

So, there were 478 marbles in Box A.

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The required answer is A = 316
Explanation:-
1. Box A and B had a total of 560 marbles.
2. Box A and C had a total of 438 marbles.
3. There were half as many marbles in Box C as in Box B.

Let's use algebra to solve this problem. Assign the following variables:
- A: number of marbles in Box A
- B: number of marbles in Box B
- C: number of marbles in Box C

We are given:
1. A + B = 560
2. A + C = 438
3. C = (1/2)B

Now, let's solve the equations:
From equation 1, B = 560 - A.
Substitute this value of B in equation 3:
C = (1/2)(560 - A)

Now, substitute the value of C in equation 2:
A + (1/2)(560 - A) = 438

Multiply both sides by 2 to get rid of the fraction:
2A + 560 - A = 876

Combine like terms:
A = 876 - 560

A = 316

So, there are 316 marbles in Box A.

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in the y = kx + b graph, k equals to tan(θ), where θ is the angle between the graph and Ox. In this case, k = 0.5.

This graph is the graph y = 0,5x shifted by 1 to the left, so its formula is 0.5(x + 1) = 0.5x + 0.5.

The answer is y = 0.5x + 0.5.

You can also get the equation from the system of equations.

we will take two points from the graph: (-1; 0); (1; 1)

First equation is 0 = k * -1 + b;

the second is 1 = k * 1 + b.

From the 1st, k = b; from the second, k = 1 - b. b = 1 - b; 2b = 1; b = 0.5; k = b = 0.5.

y = 0.5x + 0.5.

Answer:

Step-by-step explanation:

You want values of ∆y and dy for y = x² -6x and x = 5, ∆x = dx = 0.5.

The value of dy is found by differentiating the function.

  y = x² -6x

  dy = (2x -6)dx

For x=5, dx=0.5, this is ...

  dy = (2·5 -6)(0.5) = (4)(0.5)

  dy = 2

The value of ∆y is the function difference ...

  ∆y = f(x +∆x) -f(x) . . . . . . . where y = f(x) = x² -6x

  ∆y = (5.5² -6(5.5)) -(5² -6·5)

  ∆y = (30.25 -33) -(25 -30) = -2.75 +5

  ∆y = 2.25

__

Additional comment

On the attached graph, ∆y is the difference between function values:

  ∆y = -2.75 -(-5) = 2.25

and dy is the difference between the linearized function value and the function value:

  dy = -3 -(-5) = 2.00

<95141404393>

Number of hours does the new crew taken to paint the apartment is 12 hours

The number of hours taken by new crew = x  hours

The number of hours taken by old crew = y hours

A new crew of painters takes two times as long to paint a small apartment as an experienced crew.

x = 2y

Total number of hours taken if both crew can paint = 4 hours

Then the equation will be

1/x + 1/y = 1/4

Substitute the value of x in the equation

1/2y + 1/y = 1/4

Make the denominator same

1/2y + 2/2y = 1/4

3/2y = 1/4

Cross multiply the terms

2y = 3 × 4

2y = 12 hours

We know 2y = x

Hence, the new crew takes 12 hours to paint the apartment

The complete question is

A new crew of painters takes two times as long to paint a small apartment as an experienced crew. Together, both crews can paint the apartment in 4 hours. How many hours does it take the new crew to paint the apartment?

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Answer:

654,255

Step-by-step explanation:

2935per year × 200 years = 587,000

597,000 + 67,255 = 654,255

On a line chart

years would be x axis

population would be y axix

Form two dots from

(2000, 67,255)

(2200, 654,255)

Connect

Answer:

30% of 74.95 = .3 * 74.95 = 22.48

Net Cost = 74.95 - 22 48 = 52.47