The three factors that must exist for a person to commit fraud include

Answer:

The answer is D

Step-by-step explanation:

D

Your solution seems fine. What does the rest of the error message say?

\(\displaystyle y^{1/2}\frac{\mathrm dy}{\mathrm dx} + y^{3/2} = 1\)

Substitute

\(z(x)=y(x)^{3/2} \implies \dfrac{\mathrm dz}{\mathrm dx}=\dfrac32y(x)^{1/2}\dfrac{\mathrm dy}{\mathrm dx}\)

to transform the ODE to a linear one in z :

\(\displaystyle \frac23\frac{\mathrm dz}{\mathrm dx} + z = 1\)

Divide both sides by 2/3 :

\(\displaystyle \frac{\mathrm dz}{\mathrm dx} + \frac32z = \frac32\)

Multiply both sides by the integrating factor, \(e^{3x/2}\) :

\(\displaystyle e^{3x/2}\frac{\mathrm dz}{\mathrm dx} + \frac32 e^{3x/2}z = \frac32 e^{3x/2}\)

Condense the left side into the derivative of a product :

\(\displaystyle \frac{\mathrm d}{\mathrm dx}\left[e^{3x/2}z\right] = \frac32 e^{3x/2}\)

Integrate both sides and solve for z :

\(\displaystyle e^{3x/2}z = \frac32 \int e^{3x/2}\,\mathrm dx \\\\ e^{3x/2}z = e^{3x/2} + C \\\\ z = 1 + Ce^{-3x/2}\)

Solve in terms of y :

\(y^{3/2} = 1 + Ce^{-3x/2}\)

Given that y (0) = 16, we have

\(16^{3/2} = 1 + Ce^0 \implies C = 16^{3/2}-1 = 63\)

so that the particular solution is

\(\boxed{y^{3/2} = 1 + 63e^{-3x/2}}\)

\(\\ \sf\longmapsto c=1.29r\)

\(\\ \sf\longmapsto 1=1.29r\)

\(\\ \sf\longmapsto r=\dfrac{1}{1.29}\)

\(\\ \sf\longmapsto r=0.7\)

Cost of 1 roll

\(\\ \sf\longmapsto \dfrac{1}{0.7}\)

\(\\ \sf\longmapsto \dfrac{10}{7}\)

\(\\ \sf\longmapsto 1.4\$\)

9514 1404 393

Answer:

 cos B = (√5)/5

  csc B = (√5)/2

  tan A = 1/2

Step-by-step explanation:

The length of hypotenuse AB is given by the Pythagorean theorem:

  AB² = AC² +BC²

  AB² = 8² +4² = 64 +16 = 80

  AB = √80 = 4√5

The mnemonic SOH CAH TOA can help you remember the needed ratios.

  Cos = Adjacent/Hypotenuse

  cos B = BC/AB = 4/(4√5)

  cos B = (√5)/5

__

  Sin = Opposite/Hypotenuse

  csc = 1/sin = Hypotenuse/Opposite

  csc B = AB/AC = (4√5)/8

  csc B = (√5)/2

__

  Tan = Opposite/Adjacent

  tan A = BC/AC = 4/8

  tan A = 1/2

Answer:

tan A = 1/2  

cos B = √5/5

csc B = √5/2

Step-by-step explanation: I took the test

Answer:

11

Step-by-step explanation:

The 99% confidence interval for the population proportion p is (0.776, 0.824).

To find the 99% confidence interval for a proportion, we can use the formula:

CI = p^ ± z*(SE)

where p^ is the sample proportion, SE is the standard error, and z is the critical value from the standard normal distribution corresponding to the level of confidence.

For a 99% confidence interval, the critical value z is 2.576.

Substituting the given values into the formula, we have:

CI = 0.80 ± 2.576*(0.03/√200)

Simplifying this expression, we have:

CI = 0.80 ± 0.024

This means that we are 99% confident that the true population proportion falls between 0.776 and 0.824. We can interpret this interval as a range of plausible values for the population proportion, based on the sample data.

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Answer:

y= -3/2x-3/2

Step-by-step explanation:

Answer:

The answer would be X=5

When the revenue equation equals the cost equation, Anna breaks even.  Therefore, to generate a profit, she must sell more than the break-even units, that is > 1,868 books.

The profit equation is given by the difference between the revenue equation and the cost equation.

When the revenue and costs are equal, there is a break-even.

When a unit more than the break-even point is produced and sold, the company starts generating profit.

Let the number of books she sells = x

R= 6.53x

C = 10,125 + 1.11x

To break even, R = C

Therefore

6.53x = 10,125 + 1.11x

5.42x = 10,125

x = 1,868

To make profit, x > 1,868

Thus, for Anna to make profit from selling the book she published, she must sell more 1,868 books.

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As it was a non-liquidating distribution of investment land worth $510,000 to Topolino, it reduces his stock basis by the same amount, resulting in a negative basis of ($40,000) after the distribution. The answer is (b) ($40,000).

The distribution of the investment land with a fair market value of $510,000 to Topolino is a non-liquidating distribution, which means that it reduces Topolino's stock basis by the amount of the distribution ($510,000).

Topolino's basis in the stock immediately after the distribution will be the sum of his basis in the stock before the distribution ($470,000) minus the amount of the distribution ($510,000), which results in a negative basis of ($40,000). The correct answer is (b) ($40,000).

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Answer:

y = -3    m = -1     b = 3

Step-by-step explanation:

-3y=3x-9

To isolate the y variable, divide both sides by -3.

y = -1x + 3

y = -3

m = -1

b = 3

The number the spinner is most likely to land on is 2

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

The spinner

From the spinner, we have the number that covers the largest area to be 2

i.e.

Largest area = 2

This means that the number it is most likely to land on is 2 and it has the highest probability

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The only matrix that is certainly symmetric is a)\((a^2 - b^2).\)

We know that a matrix A is symmetric if it is equal to its transpose, that is \(A = A^T.\)

a) \((a^2 - b^2)\)

We can write the transpose of this matrix as

\((a^2 - b^2)^T = (a^2)^T - (b^2)^T = a^2 - b^2\), which is equal to the original matrix. Therefore, this matrix is symmetric.

b) (A+B)(A-B)

Expanding this expression, we get \((A+B)(A-B) = A^2 - AB + BA - B^2.\)

Taking the transpose of this, we get \((A^2)^T - (AB)^T + (BA)^T - (B^2)^T = A^2 - BA + AB - B^2.\)

Since AB and BA may not be equal, we cannot say for certain that this matrix is symmetric.

c) ABA

Taking the transpose of this matrix, we get\((ABA)^T = A^T B^T A^T\). Since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.

d) ABAB

Taking the transpose of this matrix, we get \((ABAB)^T = B^T A^T B^T A^T\). Again, since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.

Therefore, the only matrix that is certainly symmetric is a) \((a^2 - b^2).\)

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Answer:

19.99%

Step-by-step explanation:

hope this helps

here you go

The value of x in 1st equation is x ≤ 3 i.e.  x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e.  x ∈ (18,infinity)

Given two equations  1)6x-10<8 and 2) \(\frac{x}{3}\)+6 > 12

Solving the above equations

1) 6x-10≤8

⇒6x ≤ 18

⇒X≤ 3

⇒x ≤ 3 i.e.  x ∈ (-infinity,3]

2)\(\frac{x}{3}\)+6 > 12

⇒\(\frac{x}{3}\) > 6

⇒x>18

⇒ x > 18 i.e.  x ∈ (18,infinity)

Therefore,The value of x in 1st equation is x ≤ 3 i.e.  x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e.  x ∈ (18,infinity)

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Answer:

488 in^2

Step-by-step explanation:

Answer:

The area of the tile pattern can be solved by determining the areas of the individual components of the tile. The area of the parallelogram is equal to,

                                A = bh

where b is base and h is the length of the height. For this pattern,

                           Area of parallelogram = (14 inches)(10 inches) = 140 in²

Since, there are two parallelograms, the total area of two parallelograms are 280 in².

The area of the triangle is calculated through the equation,

                        Area = bh/2

                        Area = (28 in)(18 in - 10 in) / 2 = 112 in²

Adding the areas 392 in².V

Step-by-step explanation:

The equation of the line in slope-intercept form is y = (3/5)x + 2. This form allows us to easily identify the slope and y-intercept of the line and to graph it on a coordinate plane.

To write the equation of a line in slope-intercept form, we use the formula:y = mx + b

where:

- y represents the dependent variable (the vertical axis)

- x represents the independent variable (the horizontal axis)

- m represents the slope of the line

- b represents the y-intercept, the point where the line intersects the y-axis.

In this case, we are given the slope as 3/5 and the y-intercept as 2. Plugging these values into the formula, we get:

y = (3/5)x + 2

This equation represents a line with a slope of 3/5, indicating that for every 5 units we move horizontally (along the x-axis), the line moves 3 units vertically (along the y-axis). The y-intercept of 2 tells us that the line intersects the y-axis at the point (0, 2).

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The requried ball reached a maximum height of approximately 62 feet

Let the ball is thrown vertically upward, we can use the following formula to find the maximum height it reaches:

\(h(t) = -16t^2 + vt + h_0\)

here, h(t) is the height of the ball at time t, v is the initial velocity of the ball (in feet per second), and h0 is the initial height of the ball (in feet). We can also use the fact that the ball remains in the air for 3.8 seconds, which means that the time it takes to reach the maximum height is half of that or 1.9 seconds.

At the highest point, the ball's velocity is zero, so we can find the initial velocity by setting v = 0 in the above formula and solving for h₀:

h₀ = h(t) + 16t²

   = 4 + 16(1.9)²

   ≈ 4 + 57.76

   ≈ 61.76

Therefore, the ball reached a maximum height of approximately 62 feet

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The answer is 6 gallons

Step by step explanation

rap POS use 4 gallons of water on 30 plants

Using this expression

Plants = rate x gallons of water used

rate = plants / gallons of water used

rate = 30 / 4

rate = 15\2

We can get the amount of gallons used for 45 plants using the same expression

since our new rate is 15/2

then, plants = rate x gallons of water used

new plants is 45 and rate is 15/2

gallons of water used = Plants / rate

gallons of water used = 45 divided by 15/2

gallons of water used = 45 x 2/15

gallons of water used = 90/15

gallons of water used is 6 gallons

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The volume of the cylinder with a radius of 5 inches and a height of 16 inches is 1256 in³.

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.

Given the radius of the cylinder is 5 inches, while the height is 16 inches, therefore, the volume of the cylinder will be,

Volume of the cylinder = πr²h = π×(5)²×16 = 1,256.637 in³ ≈ 1,256 in³

Hence, the volume of the cylinder with a radius of 5 inches and a height of 16 inches is 1256 in³.

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Answer:

The values of x are 1, 13, -29, and 42.

Answer:

Perimeter 182 cm, area= 2,028 cm2

Step-by-step explanation:

The perimeter of the given rectangle is

  2(6 cm + 8 cm) = 28 cm

The area of the given rectangle is

  (6 cm)*(8 cm) = 48 cm^2

The larger rectangle will have a perimeter of

  6.5*28 cm = 182 cm

The larger rectangle will have an area of

  6.5^2*48 cm^2 = 2028 cm^2 . . . . . note the scale factor is squared for area

The appropriate choice is the 3rd one, ...

  Perimeter = 182 cm, area = 2,028 cm^2

Answer: Perimeter = 182 cm, area = 2,028 cm2 3rd one

Step-by-step explanation:

The true statements are, The probability of drawing a 2 is 0 and  The probability of drawing a number 5 or greater is greater than the probability of drawing a number less than 5.

Prοbability is a way οf calculating hοw likely sοmething is tο happen. It is difficult tο prοvide a cοmplete predictiοn fοr many events. Using it, we can οnly fοrecast the prοbability, οr likelihοοd, οf an event οccurring. The prοbability might be between 0 and 1, where 0 denοtes an impοssibility and 1 denοtes a certainty.

Here the given , Total number of outcomes = N {3,4,4,5,5,6,6,6} = 8

Now probability = No of Favorable outcome/ Total outcome.

Here Option A , Number of 2 = 0.

Then probability of getting 2 = 0/8 = 0.

Option B, Number of 7 = 0

Then probability of getting 7 =0/8 = 0

Option C , Number of 5's = 2

probability of getting 5 = 2/8 = 1/4

Number of less than 5 = 3

Probability of getting less than 5 = 3/8

Here 1/4 > 3/8 . Then The probability of drawing a number 5 or greater is greater than the probability of drawing a number less than 5.

Option D, Here least number in given is 3 not 5.

Hence the true statements are, The probability of drawing a 2 is 0 and The probability of drawing a number 5 or greater is greater than the probability of drawing a number less than 5.

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The volume of air inside the cube is 1887.4 cubic inches. Then the correct option is C.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A ball inside of a cube has a volume of 113 cubic inches. If each side of the cube measures 12.6 inches.

Then the volume of air inside the cube will be given as the difference between the volume of the cube and the sphere.

Air volume = Volume of the cube - Volume of the sphere

Air volume = 12.6³ - 113

Air volume = 2000.376 - 113

Air volume = 1887.376

Air volume ≅ 1,887.4

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Answer:

1887.4 cubic inches

Step-by-step explanation:

Answer: B

Step-by-step explanation: because there were more students with score of 94 than any number.

The interpretations that must be correct is option B.

Given that,

Based on the above information, the information is as follows:

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This occurs when the number of $5 price increases is approximately 10.82 or 15.32.

The function given is P(x) = −6x2 + 156x + 1,000, where x is the number of $5 price increases for each solar panel. We are to identify the approximate value of the x-intercept and explain what the x-intercept means in terms of the problem scenario.

The x-intercept is a point where the graph of the function crosses the x-axis. At this point, the value of the function is zero.

We can find the x-intercept by setting P(x) = 0 and solving for x.0 = −6x2 + 156x + 1,0006x2 - 156x - 1000 = 0Dividing by 6, we get:x2 - 26x - 166.67 = 0Solving using the quadratic formula,

we get:x ≈ 10.82 or x ≈ 15.32So, the x-intercepts are approximately 10.82 and 15.32. In terms of the problem scenario, the x-intercept represents the point at which the company breaks even, i.e., the point at which the daily profit is zero.

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The problem is asking us to find the power "n" that will be needed to make the expression (-2) to the power "n" equal to 1 (one)

we recall that there is a very special exponent that when used on ANY real number different from zero gives as answer "1". That exponent is "0" (zero.

(-2)^0 = 1

So the exponent we are looking for is n = 0 (zero)