how can i tell if an inequality will have a solid line

(a) The firm's output supply function is given by q = (p + 199) / 2.

(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.

(c) Each firm sells 70 computers in the long run.

(39 - 0.009q) = (2q - 2) / q

Simplifying the equation, we find:

q = (p + 199) / 2

This represents the firm's output supply function.

p = 39 - 0.009((p + 199) / 2)

Simplifying and solving for p, we get:

p ≈ $32.56

Substituting this price back into the output supply function, we find:

q = (32.56 + 199) / 2 ≈ 115.78

Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:

Number of firms = q / 70 ≈ 10

70 * 10 = 700

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Answer:

yes

Step-by-step explanation:

i know this

Answer:

Hello! answer: 39

Step-by-step explanation:

Formula for triangles area: base × height ÷ 2

Formula for squares area: base × height

5 × 3 = 15 15 ÷ 2 = 7.5 since there are 4 triangles that are the exact same I will just multiply by 4 so I have all the triangles so 7.5 × 4 = 30 now the square is just 3 × 3 so... 3× 3 = 9 now we add these up 30 + 9 = 39 therefore the surface area is 39

Answer:

39

Step-by-step explanation:

5x3=15

15/2=7.5

7.5x4=30

3x3=9

30+9=39

Answer:

-30, 210 and 330 degrees

Step-by-step explanation:

Given the expression Sin x = - 1/2

x = arcsin(-1/2)

x = -30 degrees

Since sin is negative in the third and fourth quadrant

x = 180 + 30

x = 210 degrees

In the fourth quadrant

x = 360 - 30

x = 330

Hence the value of x within the interval -360 < x < 360 are -30, 210 and 330 degrees

A cylindrical object is 3.13 cm in diameter and 8.94 cm long and weighs 60.0 g. The density of the cylindrical object is 0.849 g/cm^3.

To calculate the density, we first need to find the volume of the cylindrical object. The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius (half of the diameter) and h is the height (length) of the cylinder.

Given that the diameter is 3.13 cm, the radius is half of that, which is 3.13/2 = 1.565 cm. The length of the cylinder is 8.94 cm.

Using the values obtained, we can calculate the volume: V = π * (1.565 cm)^2 * 8.94 cm = 70.672 cm^3.

The density is calculated by dividing the weight (mass) of the object by its volume. In this case, the weight is given as 60.0 g. Therefore, the density is: Density = 60.0 g / 70.672 cm^3 = 0.849 g/cm^3.

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The domain of \( (f \circ g)(x) \) is all real numbers except \( -1 \), which can be written in interval notation as: \( (-\infty, -1) \cup (-1, \infty) \)

To find \( (f \circ g)(x) \), we need to substitute \( g(x) \) into \( f(x) \).

\( (f \circ g)(x) \) is equal to \( f(g(x)) \), so we need to replace \( x \) in the function \( f(x) \) with \( g(x) \):

\( (f \circ g)(x) = f(g(x)) = f\left(\frac{1}{x}\right) \)

Now let's substitute \( \frac{1}{x} \) into the function \( f(x) \):

\( f\left(\frac{1}{x}\right) = \frac{\frac{1}{x}}{\frac{1}{x}+1} \)

Simplifying the expression, we have:

\( (f \circ g)(x) = \frac{\frac{1}{x}}{\frac{1}{x}+1} \)

To find the domain of \( (f \circ g)(x) \), we need to consider the restrictions on the values of \( x \) that make the expression defined.

In the expression \( (f \circ g)(x) = \frac{\frac{1}{x}}{\frac{1}{x}+1} \), the denominator \( \frac{1}{x}+1 \) should not be equal to zero, as division by zero is undefined.

Setting \( \frac{1}{x}+1 \) not equal to zero, we have:

\( \frac{1}{x}+1 \neq 0 \)

Subtracting 1 from both sides, we get:

\( \frac{1}{x} \neq -1 \)

Taking the reciprocal of both sides, we have:

\( x \neq -\frac{1}{1} \)

Simplifying, we get:

\( x \neq -1 \)

Therefore, the domain of \( (f \circ g)(x) \) is all real numbers except \( -1 \), which can be written in interval notation as:

\( (-\infty, -1) \cup (-1, \infty) \)

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Answer:

10.04 × 8.8 =?, ? = 88.352 :)

Answer:

88.352

Step-by-step explanation:

10.04

x. 8.8

=88.352

For the given coordinates the area of the triangle will be 248.5 square units.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,triangle TABLE has vertices M(-7,-1) A(5,6) L(2,-3)

x₁,y₁=(-7,-1)

x₂,y₂=(5,6)

x₃,y₃=(2,-3)

We must utilize the triangle's vertices to calculate the area of the triangle in order to obtain the equation,

S=1/2[-7(6-(-3)+5(-3-(-1)+2(-1-(6)]

S=248.5

Thus, for the given coordinates the area of the triangle will be 248.5 square units.

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Answer:

D

Step-by-step explanation:

\(5(9 + 4) \\ 5(13) \\ 65 \\ prove \: it \: d \: answer \\ 5(9) + 20 \\ 45 + 20 \\ = 65\)

None of the statements you have provided are true about block design.

Here is an explanation of each statement:

i. The random assignment of units to treatments in a block design is not necessarily accomplished in groups. In a block design, units are randomly assigned to treatments within blocks, where a block is a group of units that are similar in some relevant way. For example, if you are conducting an experiment to compare the effectiveness of different fertilizers on plant growth, you might create blocks based on soil type, since different soil types may have different levels of nutrients that could affect plant growth. Within each block, you would then randomly assign the units (plants) to different fertilizers.

ii. Matched pairs is not a type of block design. Matched pairs is a type of experimental design in which pairs of units are matched on some relevant characteristic (e.g., age, gender, weight, etc.), and one member of each pair is randomly assigned to the experimental treatment while the other is assigned to the control.

iii. The purpose of blocking is not to increase variation in results. The purpose of blocking is to control for variables that could affect the outcome of the experiment. By grouping units that are similar in some way, you can reduce the influence of these variables on the results of the experiment. For example, if you are comparing the effectiveness of different fertilizers on plant growth and you have blocks based on soil type, you can be more confident that any differences in plant growth are due to the fertilizers and not to differences in soil type.

Thus, None of the statements you have provided are true about block design.

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Answer:

Random assignment is done SEPARATELY in the blocks/groups.

Matched pair design IS a type of block design.

The purpose of blocking is to DECREASE variation

DOUBLE CHECK

FLVS has different versions of this exact question. All of the above are true. If your question states that blocking is to increase variation, then that option is NOT true - check EVERYTHING. Otherwise you will not get points.

Step-by-step explanation:

Got this correct on the Segment Exam.

Answer:

n^2 + 12 = 61

-12             -12

  n^2 = 49

Step-by-step explanation:

7 is your answer

7 x 7 = 49 + 12 = 61

Answer:

least common multiple is 180

Answer:

11÷132= 0.0833333333

but i think u wanted this answer

132÷11= 12

Answer:

Step-by-step explanation:

b

a) We must have p = 5 and q = 3.

b)  p = 2 and q = 6.

c)  p = q = 3,

a) For a 3 x 5 matrix A, we have A: R^5 → R^3. Since Nul A is a subspace of R^5 and A maps from R^5 to R^3, we must have p = 5 and q = 3.

(b) For a 6 x 2 matrix A, we have A: R^2 → R^6. Since Col A is a subspace of R^6 and A maps from R^2 to R^6, we must have p = 2 and q = 6.

(c) For a 3 x 3 matrix A, we have A: R^3 → R^3. Since Nul A is a subspace of R^3 and Col A is also a subspace of R^3, we can choose either p = q = 3 or p = q = 2. If we choose p = q = 3, then A maps from R^3 to R^3 and both Nul A and Col A are subspaces of R^3. If we choose p = q = 2, then A maps from R^3 to R^2 and we have Nul A as a subspace of R^2 and Col A as a subspace of R^3.

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The answer to the given question is the function.

f(x)= 2e^(4x)-e^(3x) +5e^(x)+1.

To evaluate the function f(x) = 2e^(4x) - e^(3x) + 5e^(x) + 1 efficiently, we can use the hint given and let z = e^(x). This allows us to simplify the function and make it easier to evaluate.

First, we can substitute z for e^(x) in the function:

f(x) = 2e^(4x) - e^(3x) + 5e^(x) + 1

f(x) = 2z^4 - z^3 + 5z + 1

Now, we can use the distributive property to simplify the function further:

f(x) = 2z^4 - z^3 + 5z + 1

f(x) = z^3(2z - 1) + 5z + 1

Finally, we can evaluate the function by plugging in the value of z:

f(x) = z^3(2z - 1) + 5z + 1

f(x) = e^(3x)(2e^(x) - 1) + 5e^(x) + 1

By using the substitution of z = e^(x), we were able to simplify the function and make it easier to evaluate. This is an efficient way to evaluate the function f(x) = 2e^(4x) - e^(3x) + 5e^(x) + 1.

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Answer:

$7.98

Step-by-step explanation:

I am not sure if this is right but hopefully this helps!

Answer:

To determine whether (1, 5) is a solution of a given system, you need to substitute these values into the equations of the system and check whether the resulting statements are true.

For example, if the given system is represented by the equations y = 2x + 1 and y = x - 3, then you would substitute 1 for x and 5 for y in each equation and check whether the resulting statements are true.

Substituting these values into the first equation, we get:

5 = 2(1) + 1

5 = 2 + 1

5 = 3

This statement is not true, so (1, 5) is not a solution of this system.

On the other hand, if the given system is represented by the equations y = 2x + 1 and y = 5, then substituting the values (1, 5) into both equations would result in true statements, so (1, 5) would be a solution of this system.

I hope this helps! Let me know if you have any more questions.

Step-by-step explanation:

The set of parametric equations representing the skater's jump is:

x = 52t

y = 5 + 16t²

We have,

Let's denote the time as t.

Horizontal motion:

The skateboarder's horizontal velocity remains constant throughout the jump, so the horizontal position (x) can be represented as:

x = vt

where v is the horizontal velocity, which in this case is 52 ft/s.

Vertical motion:

The vertical position (y) can be determined using the equations of motion under constant acceleration.

The skateboarder experiences acceleration due to gravity (g) acting downward.

The initial vertical position is 5 ft, and the initial vertical velocity is

0 ft/s.

Using the equation of motion:

\(y = y_0 + vy_0t + 0.5gt^2\)

Substituting the given values:

y = 5 + 0t + 0.5(32)t²

y = 5 + 16t²

Thus,

The set of parametric equations representing the skater's jump is:

x = 52t

y = 5 + 16t²

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Answer:

-2

Step-by-step explanation:

3|x-7|<= 27

then |x-7|<=27/3=9

hence, -9<=x-7<=9

therefore, -2<=x<=16

Answer:

Step-by-Step Solution

0.4 = 2/5 as a fraction

To convert the decimal 0.4 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

0.4 = 0.41

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,

0.41 = (0.4 × 10)(1 × 10) = 410.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(4,10) = 2. So,

(4÷2)(10÷2) = 2/5 when reduced to the simplest form.

Answer:

r = 0

Step-by-step explanation:

slope formula is the difference of the y-values over the difference of the x-values

[r-(-3) / -4-2] = -1/2

r+3/-6 = -1/2

cross-multiply:

2(r+3) = (-1)(-6)

2r + 6 = 6

2r = 0

r = 0

The dimensions of the rectangular box of maximum volume are (5, 5, 5) ft.

To find the dimensions of a rectangular box of maximum volume, we need to use the method of optimization. Let x, y, and z be the dimensions of the rectangular box. The sum of the lengths of its 12 edges is 30 ft, which means:

2x + 2y + 2z = 30
x + y + z = 15

The volume of the rectangular box is given by V = xyz. To find the maximum volume, we need to find the critical point(s) of V. We can use the method of Lagrange multipliers to do this. Let L = xyz + λ(x + y + z - 15), where λ is the Lagrange multiplier.

Taking partial derivatives of L with respect to x, y, z, and λ, we get:

dL/dx = yz + λ = 0
dL/dy = xz + λ = 0
dL/dz = xy + λ = 0
dL/dλ = x + y + z - 15 = 0

Solving these equations, we get:

x = y = z = 5
λ = -25

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Answer:

4 11/12

Step-by-step explanation:

x2−4x−12<0

x2+10x−24<0

x−1=2y

x=−5912

Decimal Form:

x=−4.91¯6

Mixed Number Form:

x=−4 11/12

Answer:

There is no solution to this.

Step-by-step explanation:

Maybe check for a typo?

you would first need to calculate the discriminant, D= b^2-4 a c

D= (-12)^2 -4*1*59

Simplify

D=-92

Since D<0, the quadratic equation has no real solutions.

A. To determine if an integral is convergent, we analyze the function's behavior, integrability, apply integration techniques, and examine its limits, ensuring they are finite, leading to a finite result.

B. To determine if an integral is divergent, we look for infinite limits, vertical asymptotes, and erratic behavior within the integration interval, indicating the lack of a finite value for the integral.

A. To determine if an integral is convergent, we need to consider several approaches. First, we check for basic convergence criteria such as infinite limits or vertical asymptotes.

Then, we examine integrability, ensuring the function is continuous or has a finite number of discontinuities. Next, we simplify the integral using integration techniques.

Finally, we analyze the behavior of the function at infinity and apply comparison tests if necessary to establish convergence.

B. To determine if an integral is divergent, we follow a series of steps. First, we check for basic divergence criteria such as infinite limits or vertical asymptotes.

Then, we examine integrability, looking for discontinuities that prevent integration. Next, we simplify the integral using integration techniques. Finally, if the integral does not converge, it is deemed divergent.

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Phase 5: The system of implementation is conversion.

Option B is the correct answer.

We have,

Phase 5 of the system development life cycle is commonly referred to as "Conversion" or "Systems Implementation."

During this phase,

The focus shifts from planning and designing the system to actually implementing it.

This phase involves the conversion of the old system to the new system, which includes activities such as data conversion, software installation, hardware setup, user training, and system testing.

The term "Conversion" is used because it signifies the transition from the old system to the new system.

It involves migrating data, processes, and operations from the existing system to the new system.

This phase ensures that the newly developed system is successfully integrated into the organization and becomes fully operational.

Thus,

Phase 5: The system of implementation is conversion.

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Answer:

\(f\left(2,3,1\right)=\bold{14}\)

Step-by-step explanation:

Given the function:

\(f\left(x,y,z\right)=\frac{x^3-2.5y^2+\frac{z}{2}}{z\left(x-y\right)}\)

To find:

The value of \(f(2, 3, 1)\) = ?

Solution:

\(f(2, 3, 1)\) means the values of \(x, y\ and\ z\) as:

\(x=2\\y=3\\z=1\)

Let us put the given values in the given function and let us solve for it:

\(\Rightarrow f\left(2,3,1\right)=\dfrac{2^3-2.5\times 3^2+\frac{1}{2}}{1\left(2-3\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-2.5\times 9+0.5}{1\left(-1\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-22.5+0.5}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{-14}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\bold{14}\)

Therefore, the answer is:

\(f\left(2,3,1\right)=\bold{14}\)

Answer:

hope this helps

Step-by-step explanation:

1.-2

2.-5

3.20

4.-12

The missing values in the relationship given are :

Given the equation :

y + 5 = 4x

Value of y when x = 12 :

Put x = 12 in the equation :

y + 5 = 4(12)

y + 5 = 48

y = 48 - 5

y = 43

Value of y when x = 0

Put x = 0 in the equation :

y + 5 = 4(0)

y + 5 = 0

y = 0 - 5

y = - 5

Value of x when y = 0

Put y = 0 in the equation :

0 + 5 = 4x

-5 = 4x

Divide both sides by 4

-5/4 = x

Value of x when y = - 8

Put y = - 8 in the equation :

-8 + 5 = 4x

-3= 4x

Divide both sides by 4

-3/4= x

The missing values are : 43, - 5, - 5/4 and - 3/4

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Answer:

-8(x²-2)

Step-by-step explanation:

Factor -8 out of -8x²

-8(x²)+16

Factor -8 out of 16.

-8(x²)-8(-2)

Factor -8 out of -8(x²)-8(-2).

Step-by-step explanation:

\( \sin(x) = \frac{12}{13} \)

The value of the trigonometric ratio are;  \(\sin(x) = \dfrac{\text{12}}{\text{13}}\).

Trigonometric ratio can be defined in terms of ratios of perpendicular, bases and hypotenuse.

Trigonometric ratio are defined only in right angled triangles (triangles whose one angle is of 90 degree measure).

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle suppose its measure is θ,

\(\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\)

\(\sin(x) = \dfrac{\text{12}}{\text{13}}\)

Therefore, The value of the trigonometric ratio are;  \(\sin(x) = \dfrac{\text{12}}{\text{13}}\).

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