Propose a solution for Springville's problem. You can cut services and/or increase local taxes. If you increase taxes, tell what type of tax it will be and who will pay it. Tell what you will do with excess money you collect beyond that needed to restore services to their existing levels. Explain who will benefit the most from your plan. Tell who will be affected negatively by your plan

The solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

To solve the given differential equation (DE), we can use the integrating factor method. The steps are as follows:

1. Multiply both sides of the DE by the integrating factor, which is the exponential of the integral of the coefficient of y. In this case, the coefficient of y is (x + 2), so the integrating factor is e^(∫(x+2)dx) = e^(x^2/2 + 2x).

So, we have: (x + 1) e^(x^2/2 + 2x) dy/dx + (x + 2) e^(x^2/2 + 2x) y = 2x e^(x^2/2 + 2x) e^(-xy)

2. Notice that the left-hand side of the DE is the product of the derivative of y with respect to x and the integrating factor, so we can apply the product rule of differentiation to obtain:

d/dx [ e^(x^2/2 + 2x) y ] = 2x e^(x^2/2 + 2x) e^(-xy)

3. Integrate both sides of the previous equation with respect to x to obtain:

e^(x^2/2 + 2x) y = - e^(-xy) + C

where C is the constant of integration.

4. Solve for y by dividing both sides by the integrating factor:

y = [- e^(-xy) + C] e^(-x^2/2 - 2x)

This is the general solution of the given DE.

Note that the solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

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The angular velocity of the stone is 12.56 rad/s and the linear velocity of the stone is 31.4 m/s.

Given,The length of the sling = 5m.

Number of revolutions per second = 2 rev/s

The angular velocity formula is given as:

Angular velocity,

w = 2πf

where

f = frequency of rotation,

π = 3.14

The frequency of rotation is given as 2 rev/s.

So, the angular velocity is calculated as:

w = 2πf= 2 × 3.14 × 2= 12.56 rad/s.

The formula for linear velocity is given as:

Linear velocity,

v = rw,

Where

r = radius and w = angular velocity.

The radius of the sling,

r = 5/2= 2.5 m.

Substitute the values in the formula,We get,

v = rw= 2.5 × 12.56= 31.4 m/s.

Therefore, the angular velocity of the stone is 12.56 rad/s and the linear velocity of the stone is 31.4 m/s.

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Answer:

Step-by-step explanation:

5%×g= 5g/100

g-5g/100

Answer:

1+Q

Step-by-step explanation:

Answer:

1 + q

Step-by-step explanation:

since sum means to add, and they give the values of 1 and q, we just need to plug it in.

Answer:

648 floors.

Step-by-step explanation:

Since there are 4 large buildings and 1 would be unavailable, there would be three left. You multiply. 3 x 8 x 27 = 648 !

Answer: no clue man

don't have any clue because im only in algebra 1 honors! sorry...

When we express the equation 2x - y = 12 in slope intercept form, the result obtained is y = 2x - 12 (2nd option)

The slope intercept form for an equation is written as illustrated below:

y = mx + c

Where

With the above information, we can obtain the slope intercept form of the equation. Details below:

2x - y = 12

Rearrange to make y the subject of the expression, we have

2x = 12 + y

y = 2x - 12

Thus, we can conclude that the equation in the slope intercept form is

y = 2x - 12 (2nd option)

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Complete question:

Given the equation 2x - y = 12, which equation is written in slope intercept form?

y = -2x + 12

y = 2x - 12

y = 2x + 12

y = -2x - 12

Answer:b

Step-by-step explanation:

Answer:

3

Subtract the smaller number from the greater number.

You get -3, right?

Remeber the key rule- negative minus negative is positive.

To simplify (9x^3+2x^2-5x+4)-(5x^3-7x+4), we can start by combining like terms.

First, we need to distribute the negative sign to the second set of parentheses:

(9x^3+2x^2-5x+4) - 1(5x^3-7x-4)

= 9x^3 + 2x^2 - 5x + 4 - 5x^3 + 7x - 4 (distributing the negative sign)

= (9x^3 - 5x^3) + 2x^2 - 5x + (4 - 4 + 7x) (grouping like terms)

= 4x^3 + 2x^2 + 2x (combining like terms)

Therefore, the simplified expression is 4x^3 + 2x^2 + 2x.

We cannot factor this expression further as there are no common factors between the terms.

1) Remove parentheses.

\(9x^{3}+ 2x^{2} -5x+4-5x^{3} +7x-4\)

2) Collect like terms.

\((9x^{3}-5x^{3})+2x^{2} +(-5x+7x)+(4-4)\)

3) Simplify.

\(4x^{3}+2x^{2}+2x\)

To maximize the likelihood function, we take the derivative with respect to θ and set it equal to zero: d/dθ[L(θ|X1,X2,...,Xn)]=−n/θ+(X1+X2+⋯+Xn)/θ2=0.

The MLE for θ in the exponential distribution is simply the sample mean of the observed data.

The exponential distribution is a continuous probability distribution that describes the time between events in a Poisson point process. X1,X2,...,XnX1,X2,...,Xn is a random sample of size n from this distribution, which means that each XiXi is an independent and identically distributed random variable with the same exponential distribution.

The probability density function (pdf) of the exponential distribution is given by f(x:θ)=(1/θ)e−x/θ, where θ is the scale parameter. This means that the probability of observing a value x from the distribution is proportional to e−x/θ, with the constant of proportionality being 1/θ.

To estimate the value of θ based on the observed data, we can use the method of maximum likelihood estimation (MLE). The likelihood function for the sample X1,X2,...,XnX1,X2,...,Xn is given by L(θ|X1,X2,...,Xn)=∏i=1n(1/θ)e−Xi/θ=(1/θ)n e−(X1+X2+⋯+Xn)/θ.

Solving for θ, we get θ=(X1+X2+⋯+Xn)/n, which is the sample mean.

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Answer:

D. about 191 ayan ang answer d.

Answer:

$770

Step-by-step explanation:

700 + 10% of 700 = 700 + 70 = 770

Answer:

8.3 : 25 : 41.67

Step-by-step explanation:

75 into 1 : 3 : 5

1+3+5 = 9

9 shares in total

-

75 / 9 = 8.33333333

8.33333333 x 3 = 25

8.33333333 x 5 = 41.6666667

1 : 3 : 5

8.3 : 25 : 41.67

or

8 : 25 : 42 (rounded)

Answer:

x= -5/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

7(5x+9)=12−(x+9)

7(5x+9)=12+−1(x+9)(Distribute the Negative Sign)

7(5x+9)=12+−1x+(−1)(9)

7(5x+9)=12+−x+−9

(7)(5x)+(7)(9)=12+−x+−9(Distribute)

35x+63=12+−x+−9

35x+63=(−x)+(12+−9)(Combine Like Terms)

35x+63=−x+3

35x+63=−x+3

Step 2: Add x to both sides.

35x+63+x=−x+3+x

36x+63=3

Step 3: Subtract 63 from both sides.

36x+63−63=3−63

36x=−60

Step 4: Divide both sides by 36.

36x/36 and -60/36

x= -5/3

Answer:

Step-by-step explanation:

\(\pmb {sin(22)^o=\cfrac{x}{35} }\)

\(\pmb {35sin(22)=w}\)

\(\pmb {w=13.11}\)

_________________

Hope this helps!

Have a great day! :)

The value of (26 - 7) and (5 - 24) when they're multiplied will be -399.

From the information given, we are told to multiply (26 - 7) and (5 - 24). This goes thus:

= (26 - 7) × (5 - 24)

= 21 × -19

= -399

In this case, value of (26 - 7) and (5 - 24) when they're multiplied will be -399.

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The formula for the general nth term of the sequence is αₙ= -3-n.

The given sequence -4,-5,-6,-7,-8,··········· is an arithmetic sequence as all the terms differ by a number -1.

The nth term αₙ of any arithmetic sequence is given by αₙ= α+(n-1) d where α is the first term, d is a common difference and n is the number of terms.

Here, α= -4

         d=α₂-α₁

           = -5+4

           = -1

  ⇒αₙ= -4+(n-1)(-1)

  ⇒αₙ = -4-n+1

  ⇒αₙ  = -3-n

The correct answer is -3-n.

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As per the given function, the equation of tangent line is y - e = e(x -1)

The term tangent line in math referred as a function y=f(x) can be calculate the slope by taking derivative m=f′(x) then at a given point (x1,y1) equation of tangent line is given by the formula y−y1=m(x−x1)

Here we have given the expression y = eˣ/x

Now, we have to calculate the tangent line for the given function,

Let us consider, Slope of the tangent line is written as,

=> m = dy/dx

Now, we have written it as,

=> dy/dx = eˣ/x

then the equation is equate with the slope, then  we get,

=> m = eˣ/x

When we put the value of x as 1, then we get

=> m = e

Here we know that the point value is (1, e)

Therefore, the equation of the tangent line is written as,

=> y - e = e(x -1)

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Answer:

30 green jolos

Step-by-step explanation:

in the problem itself it states this "Balan, who lives on this planet, does a survey and finds that her colony of 140 contains 30 green, one-headed Jolos 45 purple, two-headed Jolos; and 75 one-headed Jolos.".

There are green Jolos are there in Balan's colony are 30 green jolos.

We have given that,

A faraway planet is populated by creatures called Jolos. All Jolos are either green or purple and either one-headed or two-headed.

Balan, who lives on this planet, does a survey and finds that her colony of 140.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

contains 30 green, one-headed Jolos; 45 purple, two-headed Jolos; and 75 one-headed Jolos.One-headed Two-headed Total

            Green      Purple    

               30              45        

Total          75             140          

In the problem itself, states this Balan, who lives on this planet, does a survey and finds that her colony of 140 contains 30 green, one-headed Jolos 45 purple, two-headed Jolos; and 75 one-headed Jools.

Therefore there are green Jolos are there in Balan's colony are 30 green jolos.

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Answer: The Answer would be 9.

Step-by-step explanation:

Since there is only 7 and the empty space is 2 cups, The answer would be 9. 7 + 2 = 9.

Answer:

b

Step-by-step explanation:

i did it

Answer:

b. 1/5

Step-by-step explanation:

i took the unit test on edge

A graph which represents the solutions to this equation x² + 8x = -20 include the following: B. Linear-quadratic system graph shows upward parabola with vertex at (minus 4, 4) and passing through (minus 2, 8), and (minus 6, 8).

In Mathematics, the graph of every quadratic functions (equations) is either an upward or downward parabola, which is typically a u-shaped curve. This ultimately implies that, the graph of a quadratic function (equation) would always form a parabolic curve.

Next, we would re-write the given quadratic function in standard form by equating it to zero (0) as follows;

x² + 8x = -20

Adding 20 to both sides of the linear-quadratic equation, we have the following:

x² + 8x + 20 = -20 + 20

x² + 8x + 20 = 0

In this scenario, we would use an online graphing calculator to plot the graph of the given quadratic function and then determine the point of intersection and vertex.

y = x² + 8x + 20

By critically observing the graph of the given quadratic function, we can logically deduce that the solutions and vertex are as follows;

x = -6, y = 8.

x = -2, y = 8.

Vertex = (-4, 4).

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Answer:

ok so how many times does 10 go into 90

1.10

2.20

3.30

4.40

5.50

6.60

7.70

8.80

9.90

9 times so

9

Hope This Helps!!!

Answer:

number of pennies = 19

number of dimes = 19

number of quarters = 45 - 2 × 19 = 45 - 38 = 7

Step-by-step explanation:

The total number of coins in the box is 45 . The coins consist of pennies, dimes and quarters.

The number of pennies is equal to the number of dimes. The remaining number is the quarters. Therefore,

number of pennies = a

number of dimes = a

number of dimes = 45 - 2a

1 dime = 0.1 dollars

1 penny = 0.01 dollars

1 quarters = 0.25 dollars

Thee total cost can be expressed as follows

3.84 = a(0.01) + a(0.1) + 0.25(45 - 2a)

3.84 = 0.01a  + 0.1a + 11.25  - 0.5 a

3.84 = -0.39 a + 11.25

3.84 - 11.25 = -0.39 a

-7.41  = -0.39 a

divide both sides by -0.39

a = -7.41/-0.39

a = 19

number of pennies = 19

number of dimes = 19

number of quarters = 45 - 2 × 19 = 45 - 38 = 7

Answer:

Swimming: We are able to swim because our density is just barely lower than the density of water.

Balloons: they are possible because we fill them with a low density substance/carbon dioxide.

Boating: Boats float because they are less dense than water.

Hot air balloons: they fly because we design them to have the same density as air.

To compare the central tendency, spread, and variability of the two sets of data, we can find their median, range, and IQR.

For NY Giants:

Median: The middle value of the data set is 28.

Range: The difference between the maximum and minimum values is 11.

IQR: The difference between the first quartile (Q1) and the third quartile (Q3) is 4.

For NY Jets:

Median: The middle value of the data set is 28.

Range: The difference between the maximum and minimum values is 11.

IQR: The difference between the first quartile (Q1) and the third quartile (Q3) is 3.

Comparing the median, we can see that the two teams have the same middle value.

Comparing the range, we can see that the two teams have the same spread.

Comparing the IQR, we can see that the NY Giants have a slightly larger IQR than the NY Jets.

Therefore, we can conclude that the two teams have similar median and range, but the NY Giants have slightly greater variability in their ages.

Answer:

49x

Step-by-step explanation:

Answer:

-49x

Step-by-step explanation:

-11 2/3x (-4 1/5)

= -49x