Diego is 59.5 inches tall his brother is 40.125 inches tall how many inches taller then his brother is diego

Answer:

250 and 10

Step-by-step explanation:

substitute x = 10 into the expressions

a = \(\frac{5x^2}{2}\)

  = \(\frac{5(10)^2}{2}\)

  = \(\frac{5(100)}{2}\)

  = \(\frac{500}{2}\)

  = 250

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

b = \(\frac{2x^2(x-5)}{10x}\)

  = \(\frac{2(10)^2(10-5)}{10(10)}\)

  = \(\frac{2(100)(5)}{100}\) ( cancel 100 on numerator and denominator )

  = \(\frac{2(5)}{1}\)

  = 10

The general solution to the nonhomogeneous equation is, y(x) = y_h(x) + y_p(x) = c1e^(-4x) + c2e^x - 5x + 10 + c3e^(2x)cos(2√2x) + c4e^(2x)sin(2√2x), where c1, c2, c3, and c4 are constants to be determined from any initial or boundary conditions.

The given differential equation is:

y" + 3y' - 4y = 5(-2x + 1)e^x

To solve this equation using the method of variation of parameters, we first find the solution to the homogeneous equation:

y" + 3y' - 4y = 0

The characteristic equation is:

r^2 + 3r - 4 = 0

Factoring this, we get:

(r + 4)(r - 1) = 0

So the roots are r = -4 and r = 1. Therefore, the general solution to the homogeneous equation is:

y_h(x) = c1e^(-4x) + c2e^x

To find the particular solution, we assume that it has the form:

y_p(x) = u1(x)e^(-4x) + u2(x)e^x

where u1(x) and u2(x) are functions to be determined. We substitute this into the original equation:

y" + 3y' - 4y = 5(-2x + 1)e^x

And simplify the left-hand side:

y_p''(x) + 3y_p'(x) - 4y_p(x) = u1''(x)e^(-4x) + u2''(x)e^x + (-8u1'(x) + u2'(x))e^(-4x) + (u1'(x) + 3u2'(x))e^x - 4(u1(x)e^(-4x) + u2(x)e^x)

We want to choose u1(x) and u2(x) so that this simplifies to 5(-2x + 1)e^x.

Equating the coefficients of e^x and e^(-4x) gives us the following equations:

u1''(x) - 4u1(x) - 8u1'(x) = 0

u2''(x) + u2'(x) - 4u2(x) = 5(-2x + 1)

The solution to the first equation can be found using the auxiliary equation r^2 - 4r - 8 = 0, which has roots r = 2 + 2√2 and r = 2 - 2√2. The general solution to this equation is:

u1(x) = c3e^(2x)cos(2√2x) + c4e^(2x)sin(2√2x)

To solve the second equation, we use undetermined coefficients. Since -2x + 1 is a linear function, we assume a particular solution of the form:

u2(x) = Ax + B

where A and B are constants to be determined. Substituting this into the equation and simplifying, we get:

2A + B = -10x + 5

So we have A = -5 and B = 10. Therefore, the particular solution is:

u2(x) = -5x + 10

The general solution to the nonhomogeneous equation is:

y(x) = y_h(x) + y_p(x) = c1e^(-4x) + c2e^x - 5x + 10 + c3e^(2x)cos(2√2x) + c4e^(2x)sin(2√2x)

where c1, c2, c3, and c4 are constants to be determined from any initial or boundary conditions.

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Answer:

The probabilities are listed as:

P(Ella wins) = 0.75

P(Danila wins) = 5% or 0.05

P(Sophia wins) = 1/5 or 0.2

To determine the order of least to most likely events:

- The probability of Danila winning is the lowest at just 5%. Therefore, Danila winning is the least likely event.

- The probability of Sophia winning (0.2) is greater than Danila's probability of winning (0.05). Hence, Sophia winning is more likely than Danila winning.

- Finally, Ella has the highest probability of winning (0.75) among all three contestants. So, Ella winning is the most likely event.

Therefore, the order of least to most likely events is: Danila wins, Sophia wins, Ella wins.

Answer: Danila, Sophia then Ella

Step-by-step explanation: I took quiz on Khan

Answer:

Step-by-step explanation:

1 quart = 4 cups

so we get

4 cups/quart

_____________

(1) 12 cups =

12 / 4 cups =

3 quarts

_____________

(2) 12 quarts =

12 quarts  × 4 cups =

48 cups

_____________

#IndonesianPride

- kexcvi -

Answer: (1) 3 quarts

(2) 48 cups

Step-by-step explanation: hope that helped!

Total profit earned = 25000000 dollars

Profit is a financial achievement which is the difference between the amount of money or resources people earned and the amount is spent in various purpose. In case of a business organization, the difference between production and cost is termed as profit. Let, someone invested money for operating business, he needs to spend money for workers, for the welfare of business and after all these he has amount that comes from business that is called profit.

Given, profit earned = $ 2.5 × 10⁴ in the 1×10³ days in a row

total profit earned during this time = $(2.5 × 10⁴ × 10³)

                                                         $2.5 × 10⁷

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Each time X increases, there is a perfectly predictable increase in Y  is indicated by a Pearson correlation of r= +1.00 between X and Y

A Pearson correlation coefficient of +1.00 indicates a perfect positive linear relationship between the variables X and Y. It means that as X increases, Y increases in a perfectly predictable manner. The correlation coefficient of +1.00 indicates a strong and direct relationship between the two variables, where the values of Y can be precisely determined based on the values of X.

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Answer:

the answer to the first one is 118 the value of x is 113

Step-by-step explanation:

SOMEONE DELETED MY ORIGINAL ANSWER

The two angles will be linear pairs if the sum is 180° therefore,linear pair of 62° is 118° so option [A] is correct.

The value of x in the figure is 113° so option [C] is correct.

The m∠EXD and m∠AXE are the supplementary angles so option (B) is correct.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

01)

Two angles will be linear pairs if their sum is 180°.

If the first angle is 62° then the second will be 180° - 62° = 118°

Hence "The two angles will be linear pairs if the sum is 180° therefore, linear pair of 62° is 118°".

02)

The angle x is in the same line with supplementary angle 67° so

x = 180 - 67 = 113°.

Hence "The value of x in the figure is 113°".

03)

In the figure, AXD is a straight line, therefore,

m∠EXD +  m∠AXE  = 180°

Since the sum of two angles is 180° then they are called supplementary angles.

Hence "The m∠EXD and m∠AXE are the supplementary angles".

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Answer:

Step-by-step explanation:

To find the geodesic between the points (-3, 0, 9) and (3, 0, 9) on the surface defined by z = 16 - (x^2 + y^2), we can use the concept of geodesic equations.

A geodesic is a curve that locally minimizes the length between two points on a surface. The length of a curve on a surface can be expressed using the arc length formula:

ds^2 = dx^2 + dy^2 + dz^2

In this case, since the surface is defined by z = 16 - (x^2 + y^2), we can express the arc length in terms of x and y:

ds^2 = dx^2 + dy^2 + dz^2

= dx^2 + dy^2 + (dz/dx dx)^2 + (dz/dy dy)^2

To find the geodesic, we need to minimize the arc length, which is equivalent to minimizing the integral of ds:

L = ∫ √(dx^2 + dy^2 + (dz/dx dx)^2 + (dz/dy dy)^2)

To simplify the problem, we can notice that the surface defined by z = 16 - (x^2 + y^2) is rotationally symmetric about the z-axis. Therefore, the geodesic connecting the two points (-3, 0, 9) and (3, 0, 9) lies on the x-z plane.

We can parameterize the geodesic curve on the x-z plane as x = f(t) and z = g(t), where t is a parameter.

Now, we can rewrite the arc length integral in terms of t:

L = ∫ √(dx/dt)^2 + (dz/dt)^2 dt

Substituting the parameterization x = f(t) and z = g(t), we have:

L = ∫ √(df/dt)^2 + (dg/dt)^2 dt

To minimize L, we need to find the values of f(t) and g(t) that satisfy the Euler-Lagrange equations:

d/dt(dL/df') - dL/df = 0

d/dt(dL/dg') - dL/dg = 0

By solving these differential equations, we can determine the specific form of the geodesic between the two points (-3, 0, 9) and (3, 0, 9) on the surface.

Note that the solution to these equations is beyond the scope of a simple text-based response, as it involves solving a system of differential equations. It typically requires advanced mathematical techniques, such as variational calculus or numerical methods.

Therefore, to obtain the precise equation of the geodesic between the two given points on the surface z = 16 - (x^2 + y^2), it is recommended to use specialized software or consult advanced mathematical resources.

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Answer:

The answer Is C

Answer:

s ≈ - 1.9 , s ≈ 11.9

Step-by-step explanation:

s² - 10s - 23 = 0 ( add 23 to both sides )

s² - 10s = 23

To complete the square

add ( half the coefficient of the s- term )² to both sides

s² + 2(- 5)s + 25 = 23 + 25

(s - 5)² = 48 ( take square root of both sides )

s - 5 = ± \(\sqrt{48}\) ( add 5 to both sides )

s = 5 ± \(\sqrt{48}\)

Then

s = 5 - \(\sqrt{48}\) ≈ - 1.9 ( to the nearest tenth ) ← smaller solution

s = 5 + \(\sqrt{48}\) ≈ 11.9 ( to the nearest tenth ) ← larger solution

Answer:

C is the correct answer

We are given the following equation in vector form:

To solve the equation we need to remember that two vectors are equal of the corresponding elements are equal. Therefore, we set equal the first elements:

Now, we divide both sides by 5:

Now, we set equal the second elements:

Now, we divide both sides by 5:

Therefore, "x = 3/5" and "y = 4".

Answer:

There are 14 nickes, 24 dimes and 48 quarters

Step-by-step explanation:

let x represent the number of nickels.

As she has 10 more dimes than nickels, the number of dimes is x + 10.

As she has twice as many quarters as dimes, the number of quarters is 2(x + 10)

the total value is $15.10, so I get an equation:

0.05x + 0.1*(x + 10) + 0.25*2(x + 10) = 15.10

0.05x + 0.1x + 1 + 0.5x + 5 = 15.10

0.65x = 9.1

x = 14

x + 10 = 24

2(x + 10) = 48

The value of the triple integral is 72π.

To evaluate this triple integral in cylindrical coordinates, we first need to express the region E using cylindrical coordinates.

The cylinder x² + y² = 16 can be expressed in cylindrical coordinates as r² = 16, or r = 4. The planes z = -5 and z = 4 define a region of height 9.

So, the region E can be expressed in cylindrical coordinates as:

4 ≤ r ≤ 4

-5 ≤ z ≤ 4

0 ≤ θ ≤ 2π

The integrand √(x² + y²) can be expressed in cylindrical coordinates as r, so the integral becomes:

∭E√x²+y²dV = ∫0²π ∫4⁴ ∫-5⁴ r dz dr dθ

Note that the limits of integration for r are from 0 to 4, which means we are only integrating over the positive x-axis. Since the integrand is an even function of x and y, we can multiply the result by 2 to get the total volume.

The integral with respect to z is easy to evaluate:

∫₋₅⁴ r dz = r(4 - (-5))

= 9r

So the triple integral becomes:

∭E√x²+y²dV = 2 ∫0^2π ∫4⁴ 9r dr dθ

= 2(9) ∫0^²π 4 dθ

= 72π

Therefore, the value of the triple integral is 72π.

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Pua will use 13, 1/4 cups of oatmeal.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Pua needs 3\(\frac{1}{4}\) cups of oatmeal.

The number of 1/4 cups of oatmeal,

she will use,

= 13/4 ÷ 1/4

= 13

Therefore, she will use 13 cups.

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Answer:

17.39

Step-by-step explanation:

40:230*100 =

( 40*100):230 =

4000:230 = 17.39

Answer:

20 % would be ur answer to ur question

Answer:

Step-by-step explanation:

The parenthesis can cancel because the lack of anything you can do in them, so that will leave you with 7m + 3 + 7m + 6

Next step is to add like numbers, you should start by adding 7m + 7m, which would be 14m.

Next would be to add 3 + 6, which is nine.

To end this equation, simply put 14m + 9

There is no one-number answer because we do not know what m is. So the equation 14m + 9 is the final answer.

The oil prospector drills wells with a success probability of 0.15. The probability of finding the first productive well in the third attempt is 0.108375 and the probability that the prospector fails to find productive well in the first 5 attempts is  0.26724 or 26.724%

Let Y be the number of drilling trials on which the prospector will find the first productive well. As Y is a geometric random variable with p=0.15 where p is the probability of being successful on any drilling. Let q = 1- p be the probability of being unsuccessful in drilling a well. q = 1 - 0.15 = 0.85

The probability that the first productive well is found on the third attempt is when outcomes are independent

P(Y=3) = q * q * p = 0.85^2* 0.15 = 0.108375

We want to find the probability that 5 wells are drilled and not a productive one is found. That is we need to find p(Y>5). Y is a binomial random variable with several wells drilled at most as n. Given n=5 and p=0.15, q = 0.85

We know the geometric probability is p(y) = \(q^{y-1}\)p

Then corresponding probabilities are added

p(Y≤ 5 ) = p(0) + p(1) +p(2) + p(3) +p(4) +p(5)= 0.73276

Using the complement rule:

p(Y>5) = 1 - p(Y≤5) = 1- 0.73276 = 0.26724 = 26.724 %

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Answer:

The average rate will be -11000 dollars per year.

Step-by-step explanation:

The price of a house in 2005 = $250,000

The  price of a house in 2010 = $195,000

at x₁ = 2005, f(x₁) = 250,000

at x₂ = 2010,  f(x₂) = 195,000

Using the formula to determine the average rate of change for the

house each year.

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                      = [195,000 - 250,000 ] / [2010-2005]

                      = -55000 / 5

                      = -11000

Therefore, the average rate will be -11000 dollars per year.

The general solution to the differential equation y'' + 16y = 0 is y(x) = (c₁ + c₂) * cos(4x)

To solve the differential equation y'' + 16y = 0 using reduction of order, we'll assume a second solution of the form y₂(x) = u(x) * y₁(x), where y₁(x) is a known solution and u(x) is an unknown function.

Given y₁(x) = cos(4x), we'll differentiate it to find y₁'(x) and y₁''(x):

y₁'(x) = -4sin(4x)

y₁''(x) = -16cos(4x)

Now we substitute y₂(x) = u(x) * y₁(x) into the original differential equation:

y'' + 16y = 0

(-16cos(4x)) + 16(u(x) * cos(4x)) = 0

Simplifying the equation:

-16cos(4x) + 16u(x) * cos(4x) = 0

cos(4x)(-16 + 16u(x)) = 0

For this equation to hold for all values of x, we must have (-16 + 16u(x)) = 0.

Solving for u(x):

-16 + 16u(x) = 0

16u(x) = 16

u(x) = 1

Now we have the second solution:

y₂(x) = u(x) * y₁(x)

y₂(x) = 1 * cos(4x)

y₂(x) = cos(4x)

Therefore, the general solution to the differential equation y'' + 16y = 0 is:

y(x) = c₁ * y₁(x) + c₂ * y₂(x)

y(x) = c₁ * cos(4x) + c₂ * cos(4x)

y(x) = (c₁ + c₂) * cos(4x)

Where c₁ and c₂ are arbitrary constants.

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Answer:

2/6

Step-by-step explanation:

If \($D_{o,\frac{1}{2}} \frac{1}{2} (x, y)\) exists a dilation of △ ABC, the facts regarding the image

△A'B'C' exist AB exists parallel to A'B'.

Any point in the coordinate plane exists directed by a point (x, y), where the x value exists the position of the point with respect to the x-axis, and the y value exists the position of the point with respect to the y-axis.

A dilation exists a transformation \($D_{o,k} \frac{1}{2} (x, y)\), with center O and a scale factor of k that exists not zero, that maps O to itself and any other point P to P'. The center O exists as a fixed point, P' exists as the image of P, and points O, P, and P' exist on the exact line.

In a dilation of \($D_{o,\frac{1}{2}} \frac{1}{2} (x, y)\), the scale factor, 1/2 exists mapping the original figure to the image in such a manner that the distances from O to the vertices of the image exist half the distances from O to the original figure.

Also, the size of the image exists half the size of the original figure.

If \($D_{o,\frac{1}{2}} \frac{1}{2} (x, y)\) exists a dilation of △ ABC, the facts regarding the image △A'B'C' exist AB is parallel to A'B'.

\($D_{o,k} \frac{1}{2} (x, y) = (\frac{1}{2} x, \frac{1}{2}y)\)

The distance from A' to the origin exists half the distance from A to the origin.

Therefore, the correct answer is option A). △ A'B'C' exist AB is parallel to A'B'.

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Answer:c=2 √1129 or c=−2 √1129

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

c^2=4516

Step 2: Take square root.

c=±√4516

c=2√1129 or c=−2√1129

The horizontal change from triangle ABC to triangle ABC include the following: A. right 5 units.

The vertical change from triangle ABC to triangle ABC include the following: C. down 2 units.

The translation rule in the standard format is: (x, y) → (x + 5, y - 2).

In Mathematics, the translation of a graph to the left is a type of transformation that simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation of a graph to the right is a type of transformation that simply means adding a digit to the value on the x-coordinate of the pre-image.

By translating the pre-image of triangle ABC horizontally right by 5 units and vertically down 2 units, the coordinate A of triangle ABC include the following:

(x, y)                               →                  (x + 5, y - 2)

A (3, 5)                        →                  (3 + 2, 5 - 2) = A' (5, 3).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Step-by-step explanation:

the second one √72= 8.48 and the square root of √83=9.11 pi^2 = 9.86

when you put this in order by the decimal you get

8.48, 8.7, 9.11, 9.25, 9.86 which is really √72, 8.7, √83, 9.25, pi^2

A) mean = average. Find the total of the ages and dive by number of people:

19x 2 = 38

20x3= 60

21x1= 21

22x4 = 88

23x1=23

38 +60 +21+88+23= 230

230/ 11= 20.9

Mean = 20.9

B ) 1 more person makes the total 12 people. The mean becomes 22, so total of the ages would be 12x22= 264

Subtract the two totals 264 - 230 = 34

The person would be 34

Answer:

2 bags

Step-by-step explanation:

what you need to do is find the GCF or greatest common factor. which is a number they can all be divided by. 30 can be divided by 2 24 can be divided by 2 and 40 can be divided by 2. so in conclusion, in order to use every treat, and have an equal amount of treats in every bag, you can make 2 bags.

Answer:

(2,-1)

Step-by-step explanation:

Rewrite in vertex form

y = -1/4(x-2)^2-1