Information collected from runner 3# is in the table below

The constant proportionality for runner 3 is..?

Step-by-step explanation:

1/(1 - p + p²) - 1/(1 + p + p²) - 2p/(1 - p² + p⁴) =

[ (1 + p + p²)-(1 - p + p²)/(1 - p + p²)(1 + p + p²) ] - 2p/(1 - p² + p⁴) =

2p/(1 + p + p² - p - p² - p³ + p² + p³ + p⁴) - 2p/(1 - p² + p⁴) =

2p/(1 + p² + p⁴) - 2p/(1 - p² + p⁴) =

[ 2p(1 - p² + p⁴) - 2p( 1 + p² + p⁴) ]/(1 + p² + p⁴)(1 - p² + p⁴) =

(2p - 2p³ + 2p⁵ - 2p - 2p³- 2p⁵) / (1 - p² + p⁴ + p² - p⁴ + p⁶ + p⁴ - p⁶ + p⁸) =

-4p³ / (1 + p⁴ + p⁸)

Answer:

$31.50

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

my guess would have to be

A. slope= 4      

B. y-intercept= 23/3 or 7  2/3(simplified)

Step-by-step explanation:

im not sure how accurate my answer would be but what i did was put the equation in slope intercept form and added 6 for the dilatation to all factors of the equation.

The slope is 2/3.

The y-intercept is -5/3.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of the line.

6x - 3y = 5

Now,

To apply a dilation with a scale factor of 6 centered at the origin.

We multiply both sides by 6.

So,

6 (6x - 3y) = 6 x 5

Now,

Simplifying.

36x - 18y = 30

Dividing both sides by 18.

2x - y = 30/18

2x - y = 5/3

Now,

Writing in slope-intercept form.

y = mx + c

So,

y = 2x - 5/3

This means,

Slope m = 2

y-intercept c = -5/3

Thus,

The slope is 2/3.

The y-intercept is -5/3.

Learn more about equation of a line here:

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Answer:

D : 510 units

Step-by-step explanation:

NOTE:

Something to consider when solving problems like this is to break the large shape down into smaller, more managable shapes. So for this problem, you can break down this irregular shape into two rectangles. This will make solving problems similar to this easier in the future :)

WORK:

I broke down this shape into two rectangles with the following dimensions:

- 12 meters by 5 meters

- 3 meters by 14 meters

You also know that the depth has to be 5 feet (the problem itself did not account for differences in feet and meters, as when I converted the 5 feet to meters and solved that way, none of the answers were correct)

Using this information, you can now solve for the volume of each of the rectangles

12*5*5 = 300 units

3*14*5 = 210 units

Then, you simply add the two volumes together to find the total volume needed to fill the pool which equals

510 units

Answer: B

O RST ~ RQP

Step-by-step explanation:

The statement that is true based on the diagram is: "QR corresponds to TR."

Based on the given information, we have the following:

1. PQ = 8 cm

2. QR = 12 cm

3. RT = 18 cm

4. ST = x cm (length not specified)

Now, let's analyze the statements:

1. [tex]\( \triangle PQR \sim \triangle STR\)[/tex] - This statement is not necessarily true because we don't have enough information to determine if the two triangles are similar.

2. [tex]\( \triangle RST \sim \triangle RQP\)[/tex] - This statement is not necessarily true because we don't have enough information to determine if the two triangles are similar.

3. QR corresponds to TR - This statement is true based on the fact that QR and TR are corresponding sides of the triangles [tex]\(\triangle PQR\)[/tex] and [tex]\(\triangle STR\)[/tex] that are intersected by transversal QRST.

4. PR corresponds to RS - This statement is not necessarily true because we don't have enough information to determine if PR and RS are corresponding sides of the triangles [tex]\(\triangle PQR\)[/tex] and [tex]\(\triangle STR\)[/tex].

So, the correct answer is: QR corresponds to TR.

To know more about diagram, refer here:

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Answer:

50% of the time (27 times) you will get an even number

Step-by-step explanation:

sorry if it wrong

9514 1404 393

Answer:

  a) S(p) = -97.78p +2977.78

  b) about 98 fewer shirts per week will be sold for each $1 increase in price

  c) 533 shirts per week

  d) $15.63

Step-by-step explanation:

a) You are given two ordered pairs: (p, s) = (10, 2000) and (19, 1120). The two-point form of the equation for a line can be used.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  s = (1120 -2000)/(19 -10)(p -10) +2000

  s = -97.78(p -10) +2000

  S(p) = -97.78p +2977.78

__

b) The slope is shirts/dollar, meaning about 98 fewer shirts will be sold for each dollar increase in price.

__

c) S(25) ≈ 533

At a price of $25, the store would sell about 533 shirts per week.

__

d) 1450 = S(p) = -97.78p +2977.78

  -1527.78 = -97.78p

  15.625 = p ≈ 15.63

The store should charge $15.63 per shirt to maintain sales of 1450 shirts per week.

Answer:

27

Explanation:

5 * 3 = 15 (5 triangles with 3 angles each)

3 * 4 = 12 (3 rectangles with 4 angles each)

15 + 12 = 27

Answer:

the answer is 27 because a triangle has 3 sides so multiply 3 tomes 5 because of how many triandles and then the same with the rectangle that has 4 sides then multiply by 3 because of the number of triangles you have

Answer:

1440

Step-by-step explanation:

theres 144 months in 12 years and I just multiplied it by 10

Answer: 20790

Step-by-step explanation:

Step-by-step explanation:

The answer is A

PLEASE FOLLOW ME

Answer:

Which cube?

Step-by-step explanation:

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

Answer:

1) -3/2

Step-by-step explanation:

The common ratio is the amount you multiply by to get to the next number in the sequence. To calculate this you will need to divide the term by its preceding term.

For example (3/4) / (-1/2)

When dividing by fractions you should apply KCF (Keep Change Flip), so you will end up with (3/4) x (-2/1) = -3/2

Check this by doing the next term (-9/8) / (3/4)

When dividing by fractions you should apply KCF (Keep Change Flip), so you will end up with (-9/8) x (4/3) = -3/2

Answer:

This is pogers

Step-by-step explanation:

What is ur minecraft usernaem

Answer:

consistent  

A consistent and independent solution to a system of linear equations is one point

A consistent and dependent solution to a system of linear equations is where they are the same line ( they could also be called equivalent)

An inconsistent solution is where there is no solution, the lines do not cross

Since the lines cross at exactly one point, this is a consistent and dependent solution

The solution is at x = 3  ( 3 units to the right of the origin)

and y = 2 ( 2 units up from the origin)

Step-by-step explanation:

Answer:

the answer is

x=22..........

Answer:

19

Step-by-step explanation:

Since it is a 90° angle we can say that 3x-15+2x+10 = 90.

3x-15+2x+10 = 90

5x-5=90

5x=95

x=19

By solving this we find that x is equal to 19.

Answer:

19

Step-by-step explanation:

3*19 = 57

57 - 15 = 42

2*19 = 38

38 + 10 = 48

48 + 42 = 90

(As this is a 90 degree angle)

Answer:

121

Step-by-step explanation:

300

-179

-------

121

hi, im chelsea. whats your favorite dinner food?

Answer:

it's cuvfhdiudfhridfhreidgehtinsi tahw

Step-by-step explanation:

have a good day

Answer:

I think the area is 9 ft square

Answer:

first one y: -3, 0, 3, 6, 12

second one y:5, 2, 0, 2, 5

Step-by-step explanation:

for the first one the equation is y=3x

so when it goes as x:-1, 0, 1, 2, 4

so you should multiply each number by 3 as the equation does

(just replace each number by x in the equation)

so y: -3, 0, 3, 6, 12

next one: equation is y=[tex]x^{2}[/tex]+1

so do the same as up there: replace x with every number

x:-2, -1, 0, 1, 2

so y will be

y:5, 2, 0, 2, 5

9514 1404 393

Answer:

  40°, 60°, 80°

Step-by-step explanation:

The total of ratio units is 2+3+4 = 9.

The total of angles in a triangle is 180°, so each ratio unit stands for 180°/9 = 20°.

The angle measures are ...

  20° × 2 = 40°

  20° × 3 = 60°

  20° × 4 = 80°

Answer:

B

Step-by-step explanation:

Answer:

non of them it should be 32 iʻm pretty sure

Step-by-step explanation:

Answer:

3.33%

Step-by-step explanation:

Rate = 100xSI / PxT

P = 1000

SI = 100

T = 3

Rate = 100 x 100 / 1000 x 3 = 3.33%

Step-by-step explanation:

Please refer to the attachment

Answer:

The goalkeeper has 0.306 seconds to react, dive, and reach the ball before it crosses the goal line.

Step-by-step explanation:

We use the following relation to solve this question:

[tex]v = \frac{d}{t}[/tex]

In which v is the velocity, d is the distance, and t is the time.

Chastain will kick the ball from 18 yards away from the goal at 120 miles per hour.

Since the velocity is in miles per hour, the distance has to be in yards.

Each yard has 0.000568182 miles, so the ball will be kicked from 18*0.000568182 = 0.0102 miles.

This means that [tex]v = 120, d = 0.0102[/tex]

How many seconds does the goalkeeper have to react, dive, and reach the ball before it crosses the goal line?

We have to find t, first in hours. So

[tex]v = \frac{d}{t}[/tex]

[tex]120 = \frac{0.0102}{t}[/tex]

[tex]120t = 0.0102[/tex]

[tex]t = \frac{0.0102}{120}[/tex]

[tex]t = 0.000085[/tex]

An hour has 3600 seconds. So

3600*0.000085 = 0.306.

The goalkeeper has 0.306 seconds to react, dive, and reach the ball before it crosses the goal line.

Answer: 1/8

Step-by-step explanation:

https://math.stackexchange.com/a/1788346