(1 + 7x) - 6 * (-7 - x) = 36
step pls

A statement in the form p→q has three related implications that are called converse, inverse, and contrapositive.

A statement in the form p→q has three related implications.

Statement: If p then q (p→q)

Converse: If q then p (q→p)

Inverse: If not p then not q (-p → -q)

Contrapositive: If not q then not p (-q → -p)

For the given implications, its converse, inverse, and contrapositive can be written as.

Given statement:

(a)  If a quadrilateral is a parallelogram, then its opposite sides are congruent then its converse, inverse, and contrapositive are:

Converse: If a quadrilateral has opposite sides that are congruent then it's a parallelogram.

Inverse:  If a quadrilateral is not a parallelogram then its opposite sides are not congruent.

Contrapositive: If a quadrilateral has opposite sides that are not congruent then it's not a parallelogram.

(b) If two lines do not intersect, then they are parallel:

Converse: If the two lines do not intersect in the same plane, then they are parallel.

Contrapositive: If the two lines intersect in the same plane, then they are not parallel.

(c) If the sky does not look blue, then it is not nighttime:

Converse: If it is not nighttime, then the sky looks blue.

Inverse:  If the sky does not look blue then it is nighttime.

Contrapositive:  If it is nighttime then the sky does not look blue.

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The company's revenue is given by R = 9x, where x represents the number of pens sold. The cost to make the pens is C = 3x + 4500, considering a one-time startup cost of $4500.

In this scenario, the company sells pens at a price of $9 each. To determine the revenue, we multiply the price per pen ($9) by the number of pens sold (x), resulting in the revenue equation R = 9x.

On the cost side, the company incurs a cost of $3 per pen for manufacturing. Hence, the variable cost for producing x pens is represented by 3x. Additionally, there is a one-time startup cost of $4500. Thus, the total cost equation is C = 3x + 4500.

The revenue equation R = 9x and the cost equation C = 3x + 4500 allow the company to analyze its profitability. By subtracting the cost equation from the revenue equation, we can calculate the profit equation: P = R - C = 9x - (3x + 4500) = 6x - 4500.

The profit equation indicates that the profit (P) earned by the company depends on the number of pens sold (x). If the profit is positive, it means the company is making a profit; if it is negative, the company is incurring a loss. The startup cost of $4500 affects the breakeven point, which is the point where the profit becomes zero. By setting the profit equation equal to zero and solving for x, we can determine the number of pens the company needs to sell to break even: 6x - 4500 = 0, which gives x = 750.

In summary, the company's revenue is represented by R = 9x, and its cost is represented by C = 3x + 4500. By subtracting the cost from the revenue, the company can calculate its profit. The one-time startup cost of $4500 affects the breakeven point, which is the number of pens the company needs to sell to reach zero profit. In this case, the breakeven point is 750 pens.

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The required equations are =

a) y = 3x + 2

b) 2y = -4x + 1

c) y = -2x + 2

a) System of Equations with One Solution:

To create a system of equations with one solution, we can introduce a second linear equation that intersects the first equation at a single point.

Let's consider the equation y = -2x + 0.5 and add another equation that doesn't have the same slope or intercept.

Let's say the second equation is y = 3x + 2. To create a system of equations with one solution, we can combine these two equations:

y = -2x + 0.5 (Equation 1)

y = 3x + 2 (Equation 2)

This system of equations will have one unique solution since the two lines intersect at a single point.

b) System of Equations with Infinitely Many Solutions:

To create a system of equations with infinitely many solutions, we can create two equations that represent the same line.

Let's consider the equation y = -2x + 0.5 and multiply it by a constant to create a second equation.

Multiplying the equation by 2, we get 2y = -4x + 1.

The system of equations will be:

y = -2x + 0.5 (Equation 1)

2y = -4x + 1 (Equation 2)

Both equations represent the same line, so any point on the line will satisfy both equations. This system will have infinitely many solutions.

c) System of Equations with No Solution:

To create a system of equations with no solution, we can create two parallel lines.

Let's consider the equation y = -2x + 0.5 and add a second equation with the same slope but a different intercept.

Let's say the second equation is y = -2x + 2. To create a system of equations with no solution, we can combine these two equations:

y = -2x + 0.5 (Equation 1)

y = -2x + 2 (Equation 2)

Since both equations have the same slope but different y-intercepts, the lines will never intersect.

Therefore, this system of equations will have no solution.

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Answer:

The vertex is option C: (-6, -2)

Step-by-step explanation:

The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)

Pls mark brainliest.

Answer:

a=9.1

Step-by-step explanation:

The correlation coefficient between history and math exam scores is of -0.1321, which means that there is a weak negative correlation between history grades and math grades.

Using a calculator, inserting the history and math scores, the coefficient is of -0.1321, which means that there is a weak negative correlation between history grades and math grades.

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The solution involves calculating the likelihood function, maximizing it, and using the estimated value to find the probability of no dropped connections in the next two calls.

(a) To find the maximum likelihood estimate of λ, the mean number of dropped connections per call, we need to use the Poisson distribution to calculate the likelihood function L(λ) for the given data. The Poisson distribution is given by:

P(X = x | λ) = (λ^x * e^(-λ)) / x!

where X is the random variable representing the number of dropped connections per call, λ is the parameter representing the mean number of dropped connections per call, and x is the observed number of dropped connections in a call.

The likelihood function for four calls with observed numbers of dropped connections 2, 0, 3, and 1 can be expressed as:

L(λ) = P(X = 2 | λ) * P(X = 0 | λ) * P(X = 3 | λ) * P(X = 1 | λ)

= (λ^2 * e^(-λ)) / 2! * (e^(-λ)) / 0! * (λ^3 * e^(-λ)) / 3! * (λ^1 * e^(-λ)) / 1!

= (λ^6 * e^(-4λ)) / 6

Taking the derivative of L(λ) with respect to λ, setting it equal to zero, and solving for λ.

d/dλ [L(λ)] = d/dλ [(λ^6 * e^(-4λ)) / 6]

= [(6λ^5 * e^(-4λ) - 4λ^6 * e^(-4λ)) / 6]

Setting this derivative equal to zero, we get:

2λ - 3λ^2 = 0

λ = 0 or λ = 2/3

Since λ = 0 is not a valid solution for a Poisson distribution, the maximum likelihood estimate of λ is λ = 2/3.

Therefore, the maximum likelihood estimate of the mean number of dropped connections per call is 2/3.

(b) To obtain the maximum likelihood estimate that the next two calls will be completed without any accidental drops, we can use the estimated value of λ = 2/3 to calculate the probability of no dropped connections in each of the next two calls, using the Poisson distribution:

P(X = 0 | λ = 2/3) = (2/3)^0 * e^(-2/3) / 0! = e^(-2/3) ≈ 0.5134

P(both calls have no drops | λ = 2/3) = P(X = 0 | λ = 2/3)^2 ≈ 0.2637

Therefore, the maximum likelihood estimate that the next two calls will be completed without any accidental drops is approximately 0.2637.

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Answer:

I think it might be a constant

(a) The distance traveled by motorcycle is 1548 ft.

(b) The distance traveled by motorcycle is 1512 ft.

(c) (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t.

What is velocity?

The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.

Given table is:

t (s)        0       12      24     36     48      60

v (ft/s)   30      28     25     21      25      27

The distance traveled by motorcycle during this time period using the velocities at the beginning of the time intervals is:

12(30 + 28 + 25 + 21 + 25)

=12 × 129

= 1548 ft

The distance traveled by motorcycle during this time period using the velocities at the end of the time intervals is:

12(28 + 25 + 21 + 25 + 27)

=12 × 126

= 1512 ft

The distance traveled by motorcycle at the end of the time intervals is greater than the distance traveled by motorcycle at the beginning of the time intervals.

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As a result, the product property can be used to manipulate and equation statements containing 2xy, as well as to express 2xy in terms of its factors.

An equation is a statement that shows the equality between two mathematical expressions. It is a fundamental concept in mathematics and is used to describe relationships between quantities.

The purpose of an equation is to find the value of the unknown variable(s) that make the equation true. This is typically done by applying algebraic operations to manipulate the equation, with the goal of isolating the variable on one side of the equal sign.

\(2xy = 2 * x * y\)

\(2xy = 2x * y = 2y * x = x * 2y = y * 2x = x * y * 2\)

\(4x^2y * 3xy^2 = (4 * x * x * y) * (3 * x * y * y)\)

\(= 12 * x^3 * y^3\)

As a result, the product property can be used to manipulate and simplify statements containing 2xy, as well as to express 2xy in terms of its factors.

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The first partial derivatives of the function z = x sin(xy) is x²cos(xy)

The term partial derivatives is defined as the rate of change of a function with respect to a variable and the derivatives are fundamental to the solution of problems in calculus and differential equations.

Here we have given that the function z = x sin(xy).

And as per the definition of partial derivative the value is calculated as,

Here we have given that

=> f(x, y) = x sin(xy)

And then here we need to find fx​ we treat y as constant and differentiate with respect to x, then we get

=> fx = sin(x y) + xy cos(xy)

Similarly now we have to find fy​ we treat x as constant and differentiate with respect to y

=> fy​ = x²cos(xy)

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The number of customers entered the store during the first six hours is 432 .

Given,

S(t) = 2t³ - 48t² + 288t

0≤ t≤ 12

L(t) = -80 + 4400/t² -14t + 55

0≤ t≤ 12

Now,

Shoppers entered in the store during first six hours.

Time variable is 6.

Thus substitute t = 6 ,

S(t) = 2t³ - 48t² + 288t

S(6) = 2(6)³ - 48(6)² + 288(6)

Simplifying further by cubing and squaring the terms ,

S(6) = 216*2 - 48 * 36 +1728

S(6) = 432 - 1728 + 1728

S(6) = 432.

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Answer:

that is not a function

Step-by-step explanation:

Therefore , the solution of the given problem of equation comes out to be  x must be less than -5 for any value of x that causes 5 + x = n to be a negative number.

In order to demonstrate consistency between two opposing statements, variable words are frequently used in sophisticated algorithms. Equations are academic phrases that are used to demonstrate the equality of different academic figures. Consider expression the details as y + 7 offers. In this case, elevating produces b + 7 when partnered with building y + 7.

Here,

If n is a negative number and 5 + x = n, then x must be less than -5.

This is due to the fact that n would be greater than or equal to 5, which is not a negative number, if x were greater than or equal to -5, which would lead 5 + x to be greater than or equal to 0.

However,

if x is less than -5, then 5 + x will be less than 0, and n will be a negative number because n will be less than 5.

Therefore, x must be less than -5 for any value of x that causes 5 + x = n to be a negative number.

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The standard error of the sample proportion bringing their own personal computers to campus is 0.045

The standard error of a sample proportion is calculated as:

\(SE=\sqrt{\frac{p(1-p)}{n} }\)

with p=0.4 and n=120:

\(SE=\sqrt{\frac{0.4(1-0.4)} {120}}\)

\(SE=\sqrt{0.002}\)

\(SE=0.045\)

The standard error of the sample proportion of students bringing their own computer is 0.045.

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Answer:

B) 5/4

Step-by-step explanation:

when u multiply

100 x 5/4 you get 125

Answer:

5/4

Step-by-step explanation:

the answer is 5/4

100*5=500

500/4=125

There will be 720 ways that can 3 boys and 3 girls sit in a row if only the boys must sit together.

A permutation is a conceivable order or arrangement for a group of items, especially one among several alternatives.

We need to figure out how to arrange 3 boys and 3 girls in a row.

The total number of ways that n objects can be put at r various locations in a line is known as the permutations of n different objects taken r at a time.

Given, 3 boys and 3 girls sit in a row.

ⁿPr = n! / (n - r)!

Total number of boys and girls, n = 3 + 3 = 6

So, ⁶P₆ = 6! / (6 - 6)!

= 6! / (0!)

We know, 0! = 1

So, ⁶P₆ = 6!

6 × 5 × 4 × 3 × 2 × 1

30 × 24 = 720

Therefore, 3 boys and 3 girls can sit in a row in 720 ways.

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We will have the following:

First, we determine the total:

Now, we determine how much the patient will drink:

So, the patient will have to drink 32oz.

Answer:

45min

Step-by-step explanation:

just mutiply

Answer:

83min

Step-by-step explanation:

can i have it im trying to get a new role

Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

I think the answer of this question is 24.

Answer:

Step-by-step explanation:

20% of 32 is  6.4

True. If matrix A is an n × n matrix with linearly independent eigenvectors v1, v2, ..., vn, then the n × n matrix P = [v1 v2 ... vn] forms a matrix of eigenvectors. In other words, the columns of matrix P are the eigenvectors of matrix A.

1. When a matrix A has linearly independent eigenvectors v1, v2, ..., vn, it means that each eigenvector corresponds to a distinct eigenvalue. The eigenvectors span the entire vector space of dimension n.

2. The matrix P = [v1 v2 ... vn] is constructed by arranging the eigenvectors v1, v2, ..., vn as columns. Since the eigenvectors are linearly independent, the matrix P formed by these columns is invertible.

3. When we multiply matrix P by its inverse P^(-1), we obtain the identity matrix I. This implies that P^(-1) exists and is the inverse of P.

4. Now, let's consider the equation A * P = P * D, where D is a diagonal matrix that contains the eigenvalues corresponding to the eigenvectors v1, v2, ..., vn along its diagonal.

5. Multiplying both sides of the equation by P^(-1) from the left, we get P^(-1) * A * P = P^(-1) * P * D, which simplifies to P^(-1) * A * P = D.

6. Since P^(-1) exists, we can rewrite the equation as A = P * D * P^(-1). This equation shows that matrix A can be diagonalized using the matrix P formed by the eigenvectors and its inverse P^(-1).

7. Therefore, matrix P = [v1 v2 ... vn] is indeed an n × n matrix consisting of linearly independent eigenvectors of matrix A.

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Answer:

dont post stuff like this on brainly, it is for homework only

Step-by-step explanation:

Answer:

ur mom

Step-by-step explanation:

O0O

Answer:

No solution!

Step-by-step explanation:

I just took the quiz and got 100%

Answer:

2160

Step-by-step explanation:

9×60×4 = 2160 because there is 60 seconds in a minute and 4 quarts a gallon

Answer:

Answer is D. angle DGF and AGC

First, find the supplement of the angle that is 105 degrees.

105 + 75 = 180

Now, we can find complete the lower left triangle's angles.

39 + 75 + ? = 180

? = 66 degrees

The 66 degree angle of the lower left triangle and angle x are vertical angles. Vertical angles are congruent.

Therefore, the measure of angle x is 66 degrees.

Hope this helps!

The steady-state solution of the heat conduction equation refers to the temperature distribution that remains constant over time. This occurs when the heat flow into a system is balanced by the heat flow out of the system.

To find the steady-state solution of the heat conduction equation, follow these steps:

1. Set up the heat conduction equation: The heat conduction equation describes how heat flows through a medium and is typically given by the formula:

  q = -k * A * dT/dx,

  where q represents the heat flow, k is the thermal conductivity of the material, A is the cross-sectional area through which heat flows, and dT/dx is the temperature gradient in the direction of heat flow.

2. Assume steady-state conditions: In the steady-state, the temperature does not change with time, which means dT/dt = 0.

3. Simplify the heat conduction equation: Since dT/dt = 0, the equation becomes:

  q = -k * A * dT/dx = 0.

4. Apply boundary conditions: Boundary conditions specify the temperature at certain points or surfaces. These conditions are essential to solve the equation. For example, you might be given the temperature at two ends of a rod or the temperature at the surface of an object.

5. Solve for the steady-state temperature distribution: Depending on the specific problem, you may need to solve the heat conduction equation analytically or numerically. Analytical solutions involve techniques like separation of variables or Fourier series expansion. Numerical methods, such as finite difference or finite element methods, can be used to approximate the solution.

It's important to note that the exact method for solving the heat conduction equation depends on the specific problem and the boundary conditions given. However, the general approach is to set up the heat conduction equation, assume steady-state conditions, simplify the equation, apply the boundary conditions, and solve for the steady-state temperature distribution.

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