using the rule y = 4x , find thr value of y when x is 5

Answer:

701.25 feet squared

Step-by-step explanation:

when you calculate the total area of the circle it comes to 1963.5ft

360 degrees divided by 130 degrees is 2.8 which means you need to divide the total area by 2.8 and the final answer comes to 701.25 feet squared

From the provided options, the only interval that satisfies this condition is (1, 1.5). Therefore, the solution of the initial value problem is guaranteed to exist on the interval (1, 1.5).

We are given a second-order linear differential equation with initial conditions. To determine the interval where the solution exists, we need to analyze the given information. The equation involves the variable t, and the term sec(t) is defined for values of t where cosine is not equal to zero.

Considering the initial condition y(1.5) = 1, it implies that the solution must exist at t = 1.5. Since sec(t) is undefined when cosine is zero, we need to exclude any interval where t = 1.5 lies within a point where cosine is zero.

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If the area and width of the rectangle are 45x² − 42x − 48 and (5x − 8) then the length of the rectangle will be (3x + 2).

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

A rectangle has an area of 45x² − 42x − 48 and a width of 5x − 8.

Then the length of the rectangle will be

area = length × width

Then we have

Area = 45x² − 42x − 48

Then the factor of the polynomial will be

Area = (5x − 8)(3x + 2)

Then the length of the rectangle will be (3x + 2).

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Answer:

First blank is Dividend.
Second blank is Divisor
INCLUDED WHOLE PAGE!!
☆
EDGE2022; Good Luck :3!!!

The inequalities that model these constraints regarding the shipping employee will be:

4.25x + 6.25y ≤ 60

x+y > 10

It should be noted that from the information, it takes the shipping employee 4.25 min to prepare a package for domestic delivery and 6.5 min to prepare a package for international delivery.

Let x = the number of domestic packages.

Let y = the number of international packages.

Therefore, the inequalities that model these constraints regarding the shipping employee will be:

(4.25 × x) + (6.25 × x) ≤ 60

= 4.25x + 6.25y ≤ 60 and also x+y > 10.

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The solution of the inequality 3(n - 6) > 2(n + 12) will be less than 42. Then the correct option is D.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

3(n - 6) < 2(n + 12)

Simplify the inequality, then we have

3(n - 6) < 2(n + 12)

3n - 18 < 2n + 24

3n - 2n < 24 + 18

n < 42

The solution of the inequality 3(n - 6) > 2(n + 12) will be less than 42. Then the correct option is D.

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Answer:

Honestly in the real worl I would say 12 but the answer is 13

Step-by-step explanation:

Answer: Positive correlation

Step-by-step explanation:

As you go up and along the graph the values go up.

Both have to be increasing basically.

Answer:

26.25 or 26 1/4

Step-by-step explanation:

Formula for rectangular prism:

\(V=lwh\)

Substitute in our known values:

V=3.5(5)(1.5)

solve

V=26.25

The volume is 26.25 (decimal form) or 26 1/4.

Hope this helps! :)

Answer: 26.25 in³

Step-by-step explanation:

Given volume formula for a rectangular prism:

     V = LWH

First, I am going to turn the \(\frac{1}{2}\)s into 0.5 to make it easier to multiply using a calculator. 3 and one-half becomes 3.5 and 1 and a half becomes 1.5.

Substitute known values and solve by multiplying.

     V = LWH

     V = (3.5 in)(5 in)(1.5 in)

     V = 26.25 in³

Answer:  b = 14/3 = 4.667 feet

The decimal value is approximate. In reality the 6's go on forever. Round that however you need to.

================================================

Work Shown:

b = unknown base

h = height = 6 ft

A = area = 14 sq ft

A = b*h/2

14 = b*6/2

14 = b*3

14 = 3b

3b = 14

b = 14/3

This approximates to 14/3 = 4.667 ft

Answer:

72.5

Step-by-step explanation:

70=-2.5x

+2.5 +2.5

x =72.5

Answer:

-28 for x

Step-by-step explanation:

the equation is supposed to be multiplied but you have to find x first so i think you have to divide 70 and -2.5 to find x then check your work by multiplying -2.5 and the answer which is -28 to get 70.

The solution to the system of equations is x = 11.5 and y = -27.5.

The solution to the system of equations is x = 2 and y = 1

The solution to the system of equations is x = -12 and y = 7.

The solution to the system of equations is x = 0.5 and y = -6.

A system of linear equations can be solved graphically, by substitution, by elimination, and by the use of matrices.

To solve the system of equations:

3x + y = 7

5x + 3y = -25

We can use the method of substitution or elimination to find the values of x and y.

Let's solve it using the method of substitution:

From the first equation, we can express y in terms of x:

y = 7 - 3x

Substitute this expression for y into the second equation:

5x + 3(7 - 3x) = -25

Simplify and solve for x:

5x + 21 - 9x = -25

-4x + 21 = -25

-4x = -25 - 21

-4x = -46

x = -46 / -4

x = 11.5

Substitute the value of x back into the first equation to find y:

3(11.5) + y = 7

34.5 + y = 7

y = 7 - 34.5

y = -27.5

Therefore, the solution to the system of equations is x = 11.5 and y = -27.5.

To solve the system of equations:

2x + y = 5

3x - 3y = 3

Again, we can use the method of substitution or elimination.

Let's solve it using the method of elimination:

Multiply the first equation by 3 and the second equation by 2 to eliminate the y term:

6x + 3y = 15

6x - 6y = 6

Subtract the second equation from the first equation:

(6x + 3y) - (6x - 6y) = 15 - 6

6x + 3y - 6x + 6y = 9

9y = 9

y = 1

Substitute the value of y back into the first equation to find x:

2x + 1 = 5

2x = 5 - 1

2x = 4

x = 2

Therefore, the solution to the system of equations is x = 2 and y = 1.

To solve the system of equations:

2x + 3y = -3

x + 2y = 2

We can again use the method of substitution or elimination.

Let's solve it using the method of substitution:

From the second equation, we can express x in terms of y:

x = 2 - 2y

Substitute this expression for x into the first equation:

2(2 - 2y) + 3y = -3

Simplify and solve for y:

4 - 4y + 3y = -3

-y = -3 - 4

-y = -7

y = 7

Substitute the value of y back into the second equation to find x:

x + 2(7) = 2

x + 14 = 2

x = 2 - 14

x = -12

Therefore, the solution to the system of equations is x = -12 and y = 7.

To solve the system of equations:

2x - y = 7

6x - 3y = 14

Again, we can use the method of substitution or elimination.

Let's solve it using the method of elimination:

Multiply the first equation by 3 to eliminate the y term:

6x - 3y = 21

Subtract the second equation from the first equation:

(6x - 3y) - (6x - 3y) = 21 - 14

0 = 7

The resulting equation is 0 = 7, which is not possible.

Therefore, there is no solution to the system of equations. The two equations are inconsistent and do not intersect.

To solve the system of equations:

4x - y = 6

2x - y/2 = 4

We can use the method of substitution or elimination.

Let's solve it using the method of substitution:

From the second equation, we can express y in terms of x:

y = 8x - 8

Substitute this expression for y into the first equation:

4x - (8x - 8) = 6

Simplify and solve for x:

4x - 8x + 8 = 6

-4x + 8 = 6

-4x = 6 - 8

-4x = -2

x = -2 / -4

x = 0.5

Substitute the value of x back into the second equation to find y:

2(0.5) - y/2 = 4

1 - y/2 = 4

-y/2 = 4 - 1

-y/2 = 3

-y = 6

y = -6

Therefore, the solution to the system of equations is x = 0.5 and y = -6.

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Answer:

9

Step-by-step explanation:

Since the value is negative, that means that missing integer has to be 1 greater than 8 to make -1. 1 more than 8 is 9. Hope this helps! If you are still confused, please comment!

Answer:

Correct option: A

Step-by-step explanation:

The angle BDC inscribe the arc mBC, so we have that:

mBDC = (1/2) * mBC

mBDC = (1/2) * 118 = 59°

From the secants relation in a circle, we have that:

mA = (1/2) * (mBC - mDE)

35 = (1/2) * (118 - mDE)

70 = 118 - mDE

mDE = 48°

The sum of the arcs is 360°, so we have:

mBC + mCD + mDE + mBE = 360

118 + mCD + 48 + 76 = 360

mCD = 360 - 118 - 48 - 76 = 118°

The angle mCBD inscribes the arc mCD, so we have:

mCBD = (1/2) * mCD = (1/2) * 118 = 59°

The angles mCBD and mBDC are equal, so the triangle is isosceles.

Correct option: A

Answer:

The total surface area of the 20 pieces exceeds the surface area of the original cube by 1368 square centimeters.

Step-by-step explanation:

The formula of surface area for the entire cube (\(A_{s,c}\)), measured in square centimeters, is:

\(A_{s,c} = 6\cdot l^{2}\) (Eq. 1)

Where \(l\) is the side length, measured in centimeters.

If this cube is sliced into 20 pieces, the surface area of each slice (\(A_{s,s}\)), measured in square centimeters, is equal to:

\(A_{s,s} = 4\cdot \left(\frac{1}{20}\right)\cdot l^{2}+2\cdot l^{2}\)

\(A_{s,s} = \frac{1}{5}\cdot l^{2}+2\cdot l^{2}\)

\(A_{s,s} = \frac{11}{5}\cdot l^{2}\) (Eq. 2)

And the surface area of all slices (\(A_{s,as}\)), measured in square centimeters, is:

\(A_{s,as} = 44\cdot l^{2}\) (Eq. 3)

Then, we calculate the excess of surface area (\(\Delta A\)), measured in square centimeters, by applying the following formula:

\(\Delta A = A_{s,as}-A_{s,c}\)

\(\Delta A = 44\cdot l^{2}-6\cdot l^{2}\)

\(\Delta A = 38\cdot l^{2}\) (Eq. 4)

If \(l = 6\,cm\), then the excess of surface area is:

\(\Delta A = 38\cdot (6\,cm)^{2}\)

\(\Delta A = 1368\,cm^{2}\)

The total surface area of the 20 pieces exceeds the surface area of the original cube by 1368 square centimeters.

Answer:

16 i think

Step-by-step explanation:

Answer:

We know that

Area of rectangle: Length" Breadth

For Question

Area of respective Rectangle are:

A : 13*(x+12) ft²

B : 10*8=80ft²

C : (x+10)*7 ft²

D : (x+10)*(10-7)=(x+10)*3 ft2

E : 6*6 =36 ft²

F : 7*6= 42 ft²

G : (x+8)*(x+7) ft²

H : (3x+23)*(2x+17) ft²

I. : (2x+16)*(x+8) ft²

For a standard normal distribution, the approximate value of p

( z≥-1.25 ) is 0.8945.

The standard normal distribution is a normal distribution with a mean of zero and a standard deviation of 1. The standard normal distribution is centered at zero and the degree to which a given measurement deviates from the mean is given by the standard deviation.

As we know that Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

It is given that z-score≥-1.25

From the standard normal table, the p-value corresponding to z≥-1.25 is

0.8945.

Therefore, For a standard normal distribution, the approximate value of p ( z≥-1.25 ) is 0.8945.

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Answer:

89%

Step-by-step explanation:

To make it easy. Hope this helps

Answer:

Third side = 8.34 cm

Step-by-step explanation:

Given that,

The perimeter of a triangle, P = 22 cm

One side of a triangle, b = 9 cm

The area of the triangle, A = 20.976 cm²

The formula for the area of a triangle is given by :

\(A=\dfrac{1}{2}\times b\times h\\\\h=\dfrac{2A}{b}\\\\h=\dfrac{2\times 20.976}{9}\\\\h=4.66\ cm\)

Perimeter = Sum of all sides

9 cm + 4.66 cm + x = 22

x = 22 - 13.66

x = 8.34 cm

So, the third side of the triangle is 8.34 cm.

Answer:

Step-by-step explanation:

Change the denominator of the 1/2 to sixths. Multiply the top and bottom by 3 to get 3/6

\(\frac{a}{4}-\frac{5}{6}=-\frac{3}{6} \\\)

Add 5/6 to both sides and simplify

\(\frac{a}{4} =\frac{1}{3}\)

Multiply both sides by 4 to get

a=4/3

1: Equation with Extraneous Solution: √(x + 4) - 3 = 2, where a = 1, b = 4, c = -3, and d = 2.

   Equation without Extraneous Solution: √(2x - 5) = 4, where a = 2, b = -5, c = 0, and d = 4.

2: By squaring both sides of the equation, we introduced an extraneous solution. However, the solution x = 21 satisfies the original equation.

3: The first equation has an extraneous solution due to the squaring process, while the second equation doesn't have one.

Part 1: Creating Two Radical Equations

1. Equation with an Extraneous Solution:

Let's use the equation √(x + 4) - 3 = 2 as an example. Here, a = 1, b = 4, c = -3, and d = 2. This equation will have an extraneous solution.

2. Equation without an Extraneous Solution:

Consider the equation √(2x - 5) = 4. Here, a = 2, b = -5, c = 0, and d = 4. This equation will not have an extraneous solution.

Part 2: Solving the Equations

1. Equation with an Extraneous Solution:

√(x + 4) - 3 = 2

Adding 3 to both sides:

√(x + 4) = 5

Squaring both sides:

x + 4 = 25

Subtracting 4 from both sides:

x = 21

Checking the solution:

Plugging x = 21 back into the original equation:

√(21 + 4) - 3 = 2

√25 - 3 = 2

5 - 3 = 2

2 = 2

The solution x = 21 is valid and satisfies the equation. However, when we squared both sides to solve the equation, we introduced an extraneous solution.

2. Equation without an Extraneous Solution:

√(2x - 5) = 4

Squaring both sides:

2x - 5 = 16

Adding 5 to both sides:

2x = 21

Dividing by 2:

x = 10.5

Checking the solution:

Plugging x = 10.5 back into the original equation:

√(2(10.5) - 5) = 4

√(21 - 5) = 4

√16 = 4

4 = 4

The solution x = 10.5 is valid and satisfies the equation. There is no extraneous solution introduced in the process.

Part 3: Explanation of Extraneous Solutions

The first equation (√(x + 4) - 3 = 2) has an extraneous solution because when we squared both sides, we introduced an additional solution that does not satisfy the original equation. Squaring can sometimes create new solutions that are not valid in the original context.

On the other hand, the second equation (√(2x - 5) = 4) does not have an extraneous solution because squaring both sides did not introduce any new solutions that do not satisfy the original equation. The process of solving the equation preserved the validity of the solutions.

Extraneous solutions can arise when we manipulate equations involving radicals, particularly when squaring both sides. It is essential to check the solutions obtained to ensure they are valid in the context of the original equation.

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The expression we have to evaluate is:

and we need to substitute the value of x = 8:

Next, we solve the multiplication between 2 and 8, which is equal to 16:

And finally we add and substract the corresponding terms:

Answer: 22

Answer:

there will only be one 3

Step-by-step explanation:

see cause the first 3 of both numbers are 2 but only the last one of both numbers are 3 .

Answer:

-6

Step-by-step explanation:

16x-21x-16=21x-21x+14

Than -5x-16+16=14+16

-5x/5=30/5

=-6

The determinant of the matrix, using the method of expansion by cofactors would be -75.

The formula for the determinant of the matrix is :

= a 11 x C 11 - a 12 x C12 + a 13 x C 13

The a's are in the first row and the Cs are the cofactors that correspond to them.

These cofactors are:

| 5 6 |

| -3 1 |

C11 = (5 x 1) - (6 x -3)

= 5 + 18

= 23

| 4 6 |

| 2 1 |

C12 = (4 x 1) - (6 x 2)

= 4 - 12

= - 8

| 4 5 |

| 2 -3 |

C13 = (4 x -3) - (5 x 2)

= -12 - 10

= -22

The determinant is therefore:

= -3 x 23 - 2 x ( - 8 ) + 1 x (- 22)

= - 69 + 16 - 22

= - 75

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Answer:

Step-by-step explanation:

2/9 x + 6/7 + 2.35x = -4/5 x.

the like terms are 2/9 x ,  2.35x, and  -4/5 x.

they all have the variable x

Answer:

here is the answer bae. Feel free to ask for more

The various measures of average is:

1. Arithmetic Mean:

2. Median

3. Mode

4. Geometric Mean

5. Harmonic Mean

1. Arithmetic Mean:

  - Advantage: The arithmetic mean is the most widely used measure of average. It considers all data points and provides a balanced representation.

  - Disadvantage: It is sensitive to extreme values (outliers) and can be influenced by skewed distributions.

  - Example: Calculating the average height of a group of individuals.

2. Median:

  - Advantage: The median is less affected by outliers and extreme values. It represents the middle value when the data is ordered.

  - Disadvantage: It may not provide an accurate representation of the entire dataset, especially if the distribution is heavily skewed.

  - Example: Determining the median income in a population to understand the typical earnings.

3. Mode:

  - Advantage: The mode represents the most frequently occurring value(s) in the dataset. It is useful for identifying the most common category or value.

  - Disadvantage: It may not exist or be unique in some datasets, or it may not provide a comprehensive summary of the data.

  - Example: Identifying the most popular choice among a group of individuals.

4. Geometric Mean:

  - Advantage: The geometric mean is useful when dealing with quantities that have multiplicative relationships, such as growth rates or compound interest.

  - Disadvantage: It can only be calculated for positive numbers and is less commonly used for general data analysis.

  - Example: Calculating the average annual growth rate of an investment portfolio.

5. Harmonic Mean:

  - Advantage: The harmonic mean is appropriate for averaging rates, ratios, or speeds.

  - Disadvantage: It is sensitive to extremely small values and may not be suitable for datasets with zero or negative values.

  - Example: Determining the average speed of a trip when considering different segments.

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The solution to the integral is:\(∫ 1/(sinh(x)) dx = (1/2) ln|sinh(x) + sinh(x)^2| + C.\)

To find the integral of \(1/(sinh(x))\), we can use the substitution \(u = sinh(x)\), which implies\(du/dx = cosh(x)\) and\(dx = du/cosh(x)\). Substituting these into the integral, we get:

\(∫ 1/(sinh(x)) dx = ∫ 1/u * du/cosh(x)\)

\(= ∫ cosh(x)/u * du\)

Now, we can use the identity\(cosh^2(x) - sinh^2(x) = 1\)to replace\(cosh(x)^2\)with \((sinh(x)^2 + 1)\)in the integrand:

\(∫ (sinh(x)^2 + 1)/u * du\)

\(= ∫ sinh(x)^2/u * du + ∫ 1/u * du\)

The first integral can be rewritten using the identity \(sinh^2(x) = (cosh(2x) - 1)/2:\)

\(∫ (cosh(2x) - 1)/(2u) * du\)

\(= (1/2)∫ cosh(2x)/u * du - (1/2)∫ du/u\)

\(= (1/2) ln|u + sinh(x)| - (1/2) ln|u| + C\)

\(= (1/2) ln|sinh(x) + sinh(x)^2| + C\)

Therefore, the solution to the integral is:

\(∫ 1/(sinh(x)) dx = (1/2) ln|sinh(x) + sinh(x)^2| + C\)

In words, this means that the antiderivative of \(1/(sinh(x))\)is equal to one-half times the natural logarithm of the sum of\(sinh(x)\) and \(sinh(x)^2\), plus a constant of integration.

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This is not the complete question, the complete question is:

Automobile claim amounts are modeled by a uniform distribution on the interval [0, 10,000]. Actuary A reports X, the claim amount divided by 1000. Actuary B reports Y, which is X rounded to the nearest integer from 0 to 10.Calculate the absolute value of the difference between the 4th moment of X and the 4th moment of Y

A) 0

B) 33

C) 296

D) 303

E) 533

Answer: B) 33

Step-by-step explanation:

First lets say;

z: automobile claim amounts

x: the claim amount dived by 1000

y: x rounded to the nearest integer from 0 to 10

z ≅  V[0, 10,000]

x = z / 1000 ≅ V[0, 10 ] ⇒ Fx { 1/10, 0 ≤ x ≤ 10} 0, 0/10

y =  {0,     0 ≤ x < 0.5

       1,       0.5 ≤ x < 1.5

       2,       1.5 ≤ x < 2.5

       3,       2.5 ≤ x < 3.5

        ↓

       9,        8.5 ≤ x < 9.5

       10,       9.5 ≤ x < 10

SO 4th moment of x = E(x²) = ∫₀¹⁰x⁴ 1/10 dₓ

                                 = 1/10 (x⁵ / 5)₀¹⁰

                                  = 10⁵ / (10 * 5)

                                  = 100000/50

                                   = 2000

Now

4th moment of y = E(y⁴) = ∑/y y⁴ p( y=y)

                             = 0⁴p( y=0) + 1⁴p( y=1 ) + 2⁴p( y=2) + → + 10⁴p( y=10)

                             = 0 + 1⁴.p( 0.5 ≤ x < 1.5) +  2⁴.p( 1.5 ≤ x < 2.5) + 3⁴.p( 2.5 ≤ x < 3.5 ) + → + 10⁴.p( 9.5 ≤ x < 10 )

                   = 1/10 [ 1⁴(1.5 - 0.5) + 2⁴(2.5 - 1.5) + → + 9⁴(9.5 - 8.5) + 10⁴(10 - 9.5)]

                   = 1/10 [ 1⁴ + 2⁴ + → + 9⁴ + 1/2*10⁴] = 2033.3

now the absolute difference will be

AD = ║E(x⁴) - E(y⁴)║

     = ║ 2000 - 2033.3║

     = 33.3 ≈ 33

it's sideways take a better pic