803 to 2:12
1,460 to 4:00
753 to 1:30
are these proportional?!?

The fastest path between (R, 0) and (R, θ) in polar coordinates is a cycloid. However, finding the exact equation for the cycloid in terms of quadratures is not trivial and involves solving a non-linear differential equation.

The brachistochrone problem seeks the path between two points that minimizes the time taken by a particle sliding down under gravity without any friction. In this case, we are given that the planet has a gas that is viscous and allows the particle to travel at a speed v = cr, where r is the distance from the center.

Let's first derive the Lagrangian for this problem. The distance ds between two points in polar coordinates (r, θ) is given by:

ds^2 = dr^2 + r^2 dθ^2

The time taken for the particle to travel from (R, 0) to (R, θ) along the curve is given by:

t = ∫ ds / v

Substituting v = cr, we get:

t = (1/c) ∫ ds / r

The Lagrangian L is defined as:

L = (1/c) ds / r

Substituting ds^2 from above, we get:

L = (1/c) √(dr^2 + r^2 dθ^2) / r

Simplifying, we get:

L = (1/c) √(1 + (dr/dθ)^2) dθ

The first integral of the Lagrangian is given by:

I = L - (d/dθ)(∂L/∂(dθ))

Substituting L and simplifying, we get:

I = (1/c) r^2 √(1 + (dr/dθ)^2)

We need to minimize the time t, which is equivalent to minimizing the action S, defined as:

S = ∫ L dθ

Substituting L from above, we get:

S = (1/c) ∫ √(1 + (dr/dθ)^2) dθ

This is a non-linear differential equation and it is not easy to solve. However, we know that the brachistochrone is a cycloid, which is the curve traced by a point on a circle rolling along a straight line. The cycloid is known to be the solution to the brachistochrone problem.

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Answer:

44

Step-by-step explanation:

(50+5)=55x.08= 4.4

55+4.4= 59.4

Answer:

$59.40

Step-by-step explanation:

$55 + $4.40 (8% tax) = $59.40

Answer:

33cm ; 53 cm

Step-by-step explanation:

Let the length of one piece = x cm

Length of the other piece = (x + 20) cm

x + ( x+ 20) = 86 cm

x + x + 20  = 86

     2x + 20 = 86

              2x = 86- 20

             2x = 66

               x = 66/2

                x = 33 cm

Length of the longer piece = x + 20 = 33 +20 = 53 cm

Answer:

d

Step-by-step explanation:

one side is shorter than the other so it cant be any other option

Based on the information provided, we know that the random variable y has a cumulative distribution function (cdf) of 10 when X < 0, 0.15 when 0 <= X < 1, and F(x) = 0.3 when X >= 1.

To find the probability distribution function (pdf) of y, we need to take the derivative of the cdf. However, since the cdf is not continuous at X = 0 and X = 1, we need to break it up into three parts:

For X < 0:
F(y) = 10

For 0 <= X < 1:
F(y) = 0.15y + 10

For X >= 1:
F(y) = 0.3

Taking the derivative of each part, we get:

For X < 0:
f(y) = 0

For 0 <= X < 1:
f(y) = 0.15

For X >= 1:
f(y) = 0

Therefore, the pdf of y is:

f(y) =
0         for y < 0
0.15    for 0 <= y < 1
0         for y >= 1
Hi! Based on the information provided, it seems you are asking about the cumulative distribution function (CDF) of a random variable y. Here's an explanation using the given terms:

Let y be a random variable with CDF F(y). For the specified intervals, the CDF is defined as follows:

1. F(y) = 0.1, when y < 0
2. F(y) = 0.15, when 0 ≤ y < 1
3. F(y) = 0.3, when y = 1

The CDF F(y) describes the probability that the random variable y takes on a value less than or equal to a specific value. In this case, there is a 10% chance that y is less than 0, a 15% chance that y is in the range [0, 1), and a 30% chance that y is equal to 1.

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Full question:

Question 19 5 Pts Let Y Be A Random Variable With Cdf 10, X < 0 0.15, OSX&Lt;1 F(X) = 0.3, 1

A RESUELVE tango, la solution es 1079.operaciones mathematics que has proportioned, realize las siguientes operaciones.

Para resolver estas operations, implemented debus summary o restart loss numerous de mantra sequential.

985 + 45 = 1030

1030 - 18 = 1012

11012 + 67 = 11079

Por lo tango:

985 + 45 = 1030

1030 - 18 = 1012

11012 + 67 = 11079

Para resolver ester operations Mathematica, primero agrupamos las sumacs y rest as que involucre lops mimosa numerous.

Lugeon, realisms las operations' en el order adecuado de acuerdo con las regals .

Enounces, tenemos:

985 + 45 = 1030

1030 - 18 = 1012

1012 + 67 = 1079

Por lo tango, la solutions es1079.

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Answer:

x = 21, -21

Step-by-step explanation:

Let's solve the problem,

→ |x/7| = 3

→ x/7 = 3 ll -x/7 = 3

→ x = 3 × 7 ll -x = 3 × 7

→ [ x = 21 ] ll [ x = -21 ]

So, the value of x is 21, -21.

The distance between the x-intercepts of Kris's linear function is 3 units. As an improper fraction, this can be written as 3/1.

To find the distance between the x-intercepts of Kris's linear function, we need to find the x-coordinates of those intercepts. Since Kris's function is not given, we need to use the table of points provided.
First, we can identify the y-intercept of Kris's function by looking for the point where x=0. According to the table, this point is (0, 6). This means that the y-intercept is 6, so the equation of Kris's function must be y = mx + 6 for some slope m.
To find the x-intercepts, we need to look for points where y=0. According to the table, there are two such points: (-1, 0) and (2, 0). This means that Kris's function crosses the x-axis at x=-1 and x=2.
The distance between these two x-intercepts can be found by subtracting them: 2 - (-1) = 3. Therefore, the distance between the x-intercepts of Kris's linear function is 3 units.
As an improper fraction, this can be written as 3/1.

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The error made by the student is in simplifying the expression inside the square root.

What is the quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The student made an error in simplifying the expression inside the square root.

The expression should be simplified as follows:

25 + 4(2)(-12) = 25 - 96 = -71

So the correct expression inside the square root is -71, not 121.

Therefore, the correct solution using the Quadratic Formula is:

x = (-(-5) ± √((-5)² - 4(2)(-12)))/(2(2))

x = (5 ± √(25 + 96))/4

x = (5 ± √121)/4

x = (5 ± 11)/4

Hence, the solutions are x = -3 and x = 4/2, which simplifies to x = 2.

Therefore, the error made by the student is in simplifying the expression inside the square root.

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Answer:

3 is the smallest product of a squared number in the box below

Answer:

Step-by-step explanation:

-Start by distributing the 2, -2(3m+1/2).

-Getting -6m-1, your equation should look like -40-6m-1=7m-2

-Combine -40 and -1 to get -41, and then add the -6m to the other side.

-The equation should look like -41=13m-2. Add the 2 to the -41 to get -39.

-Now, we have -39=13m. divide both sides by 13 to get m=-3.

Comparing the two simplified ratios, 4:3 and 10:9, we see that they are not equal, so the ratios 60:45 and 10:9 do not form a proportion.

We must examine whether the cross-products are equal in order to determine whether the ratios of 60:45 and 10:9 constitute a proportion.

60 x 9 = 540 is the cross product of 60 and 9.

45 x 10 = 450 is the cross product of 45 and 10.

The cross-products are not equal, hence the ratios of 60:45 and 10:9 do not constitute a proportion (540 is not equal to 450, for example).

Simplifying two ratios to their simplest form is another technique to determine if they constitute a proportion.

By dividing both components by their greatest common factor, which is 15, the ratio 60:45 can be reduced to 4:3.

The 10:9 ratio has already reached its lowest point.

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1) Simplify √108 to 6√3

6√3 - 12/√3

2) Rationalize the denominator: 12/√3 · √3/√3 =12√3/3

6√3-12√3/3

3) Simplify

6√3/3

The density of the liquid substance Y can be determined by using the conversion factor 1 atm = 41.5 ft⁻Y and the density of the liquid substance Y is approximately 19.68 ft⁻Y.

Conversion factor: 1 atm = 41.5 ft⁻Y

The "feet of liquid substance - Y" unit is defined as the pressure equivalent to the pressure that exists one foot below the surface of substance Y. In other words, if we go one foot below the surface of substance Y, the pressure will be equivalent to 1 ft⁻Y.

Since pressure is directly related to the density of a liquid, we can equate the pressure in units of atm to the pressure in units of ft⁻Y.

Therefore, we can say:

1 atm = 41.5 ft⁻Y

From this equation, we can conclude that the conversion factor for pressure between atm and ft⁻Y is 41.5.

we can calculate the conversion factor from "feet of liquid substance - Y" (ft⁻Y) to atm.

To convert from ft⁻Y to atm, we can use the inverse of the given conversion factor:

Conversion factor: 1 atm = 41.5 ft⁻Y

Taking the reciprocal of both sides:

1 / 1 atm = 1 / 41.5 ft⁻Y

Simplifying the equation:

1 atm⁻¹ = 0.024096 ft⁻Y⁻¹

Now, to find the density of the liquid substance Y in units of ft⁻Y, we can multiply the given density in g/cm³ by the conversion factor:

Density in ft⁻Y = 816.55 g/cm³ * 0.024096 ft⁻Y⁻¹

Calculating the density in ft⁻Y:

Density in ft⁻Y ≈ 19.68 ft⁻Y

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Answer:

6000mm

Step-by-step explanation:

Answer: b would be the answer

Step-by-step explanation:

Answer:

Because he did his math wrong, you dont add, you subtract the whole thing

Step-by-step explanation:

15-9=6-2.65=3.35-1.35=2-3.48=-1.52

Answer:

George did not put parentheses around the total snack amount to be subtracted from his $15. He needed to total the purchases and then subtract that amount from $15.

The cost of the least expensive box, with a volume of 420 cm3 and a base length three times the base width, is $300.

Let x be the width of the base. Then the length of the base is 3x. The height of the box is \(420/(3x^2) = 42/x^2.\)

The cost of the top and bottom is \(2(0.04)(42/x^2) = 8.4/x^2.\)

The cost of the sides is \(2(3x)(42/x^2) = 252/x.\)

The total cost is\(8.4/x^2 + 252/x.\)

To minimize the cost, we need to minimize \(8.4/x^2 + 252/x.\)

We can factor the expression as follows:

\(8.4/x^2 + 252/x = (8.4 + 252x)/(x^2)\)

We can see that the expression is minimized when x is as large as possible. The largest possible value of x is 6, because if x is greater than 6, then the volume of the box will be greater than 420 cm3.

When x = 6, the cost of the box is \((8.4 + 252*6)/(6^2) = 300\).

Therefore, the least expensive box costs $300.

Here is a table of the cost of the box for different values of x:

x | Cost

1 | 606

2 | 450

3 | 360

4 | 300

5 | 264

6 | 252

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Answer:

40%

Step-by-step explanation:

\(\frac{8}{20}*\frac{100}{1}\\ 8*5=40\)

Solution:

Given:

To calculate the surface area of a rectangular prism, the formula below is used:

Substituting the given values into the formula:

Therefore, the correct answer is OPTION C.

The population of Medway, Ohio, is expected to be approximately 3728 in the year 2020.

From the question, we have the following parameters that can be used in our computation:

Initial, a = 4007

Rate = 0.36% per year

The decay function is represented as

y = a(1 - rate)^x

So, we have

y = 4007 * (1 - 0.36%)^x

This gives

y = 4007 * (0.9964)^x

The year 2020 is 20 years from 2000

So, we have

x = 20

Substitute the known values in the above equation, so, we have the following representation

y = 4007 * (0.9964)^20

Evaluate

y = 3728

Hence, the approximate solution is 3728

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The major methods of recording unstructured observational data are Narrative Description, Field Notes, Audio or Video Recording, Photography, Diagrams or Maps.

The major methods of recording unstructured observational data are:

1. Narrative Description: This method involves writing a detailed, chronological account of the observed events or behaviors, capturing the context and interactions as they occur naturally.

2. Field Notes: In this method, the observer takes brief, concise notes during the observation, focusing on key events, behaviors, or interactions. These notes can be expanded and organized later for further analysis.

3. Audio or Video Recording: Using audio or video equipment, the observer captures the events and interactions in their entirety. This allows for a more accurate record and the ability to review and analyze the data multiple times.

4. Photography: Taking photographs during the observation can provide a visual record of the events and behaviors. These images can supplement other data collection methods and help to illustrate specific aspects of the observation.

5. Diagrams or Maps: Drawing diagrams or maps of the observation setting can help capture the spatial relationships between individuals and objects, as well as the overall layout of the environment.

These methods can be used individually or in combination, depending on the research question and the specific needs of the study. Remember to always respect participants' privacy and obtain informed consent when necessary.

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Answer:

Since they are similar, 45/27=30/18=x/24. x=40

Answer:

-0.1, -0.02, \(\frac{5}{6}\), \(|\frac{9}{8}|\), 10

Step-by-step explanation:

The difference quotient of \(f(x) = x^2 - 6x + 5\) is is 2x - 6 + h.

To find the difference quotient for the function \(f(x) = x^2 - 6x + 5\), we need to evaluate

(f(x + h) - f(x)) / h, where h is not equal to 0.

First, let's find f(x + h):

\(f(x + h) = (x + h)^2 - 6(x + h) + 5\)

\(= x^2 + 2hx + h^2 - 6x - 6h + 5\)

\(= x^2 - 6x + 5 + 2hx - 6h + h^2\)

Now, we can substitute the values of f(x + h) and f(x) into the difference quotient:

\((f(x + h) - f(x)) / h = ((x^2 - 6x + 5 + 2hx - 6h + h^2) - (x^2 - 6x + 5)) / h\)

= (2hx - 6h + h^2) / h

= 2x - 6 + h

Therefore, the difference quotient of \(f(x) = x^2 - 6x + 5\) is 2x - 6 + h.

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Answer:

The correct answer is -

x+2y = 23

2x+3y= 39

Step-by-step explanation:

given:

cost of family 1 = 23

number of adults in family one = 1

number of children = 2

cost of family 2 = 39

number of adults in family 1 = 2

number of children = 3

solution:

for the first condition of family one-

In this case, there is only one adult and 2 children and they paid 23 then if the adult cost is x and the children ticket cost is y then

number of adults*x+number of children*y = total cost

1*x + 2*y = 23

x+2y= 23 .......equation 1.

for family two:

In this case, there is two adult and 3 children and they paid 39 then if the adult cost is x and the children ticket cost is y then

number of adults*x+number of children*y = total cost

2*x + 3*y = 39

= 2x+3y = 39....... equation 2

thus, the correct equations are:

x+2y = 23

2x+3y= 39

Answer:

C. 9.08 x 10^-4

Step-by-step explanation:

To write a number in scientific notation, write the number as the product of a number form 1 to under 10 and an integer power of 10.

0.000908

To write a number from 1 to under 10, you need 9.08

9.08 * 10^?

To go from 0.000908 to 9.08, the decimal point moved 4 places to the right, so the exponent on the 10 is -4.

9.08 * 10^-4

Answer: C. 9.08 x 10^-4

Answer:

9.08 * 10^-4 so you answer is C

Step-by-step explanation:

You have to count back until you reach the ones place. If you count to the right->, its negative, if you count to the left its positive<-

(hope this helps)

The answer is:

A frequency distribution for a collection of data is shown in the accompanying table.

The intervals or ranges of the data are displayed in the left column of the table, and the frequency or number of observations within each interval is displayed in the right column.

For instance, the first row demonstrates that 3 observations fall within the range of 10 to 19, the second demonstrates that 5 observations fall within the range of 20 to 29, and so on.

We only combine the frequencies to determine the total number of observations:

Total observations are equal to 3 + 5 + 7 + 4 + 1 = 20.

By averaging the bottom and upper interval bounds, we can also determine each interval's midpoint. As an illustration, the first interval's midway (10-19) is as follows:

Midpoint: (14.5) (10 + 19) / 2

This may be done for each interval, and to display the midpoints, we can add a third column to the table.

The cumulative frequency, which is the overall frequency as we progress from the shortest interval to the longest interval, can then be calculated. The cumulative frequency can be displayed in the table by using a fourth column.

The finished table is shown here:

Interval Frequency Midpoint Cumulative Frequency

Oct-19 3 14.5 3

20-29 5 24.5 8

30-39 7 34.5 15

40-49 4 44.5 19

50-59 1 54.5 20

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To prove that the empty set 0 is not NP-complete, we need to show that 0 is not in NP or that no NP-complete problem can be reduced to 0.

Since 0 is a language that does not contain any strings, it is trivially decidable in constant time. Therefore, 0 is in P but not in NP.

Since no NP-complete problem can be reduced to a problem in P, it follows that 0 is not NP-complete.

(b) To prove that if P=NP, then every language A EP, except A = 0 and A= = *, is NP-complete, we need to show that if P=NP, then every language A EP can be reduced to any NP-complete problem.

Assume P=NP. Let L be an arbitrary language in EP. Since P=NP, there exists a polynomial-time algorithm that decides L. Let A be an NP-complete language. Since A is NP-complete, there exists a polynomial-time reduction from any language in NP to A.

To show that L can be reduced to A, we construct a reduction as follows: given an instance x of L, use the polynomial-time algorithm that decides L to determine whether x is in L. If x is in L, then return a fixed instance y of A. Otherwise, return the empty string.

This reduction takes polynomial time since the algorithm for L runs in polynomial time, and the reduction itself is constant time. Therefore, L is polynomial-time reducible to A.

Since A is NP-complete, any language in NP can be reduced to A. Therefore, if P=NP, then every language in EP can be reduced to any NP-complete problem except 0 and * (which are not in NP).

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