Assume that the profit is F = 100X – 4X – 200, where X is the produced quantity. How big is the profit if the company produces 10 units? How big is the producer surplus if the company produces 10 units?

Answer:

Step-by-step explanation:

Answer:Example 1. Given f ( x ) = 2x + 1 and g ( x ) = x2

+ 2x – 1 find ( f + g ) ( x ) and

( f + g ) ( 2 )

Solution

Step 1. Find ( f + g ) ( x )

Since ( f + g ) ( x ) = f ( x ) + g ( x ) then;

( f + g ) ( x ) = ( 2x + 1 ) + (x2

+ 2x – 1 )

= 2x + 1 + x2

+ 2x – 1

= x

2

+ 4x

Step 2. Find ( f + g ) ( 2 )

To find the solution for ( f + g ) ( 2 ), evaluate the solution above for 2.

Since ( f + g ) ( x ) = x2

+ 4x then;

( f + g ) ( 2 ) = 22

+ 4(2)

= 4 + 8

= 12

Example 2. Given f ( x ) = 2x – 5 and g ( x ) = 1 – x find ( f – g ) ( x ) and ( f – g ) ( 2 ).

Solution

Step 1. Find ( f – g ) ( x ).

( f – g ) ( x ) = f ( x ) – g ( x )

= ( 2x – 5 ) – ( 1 – x )

= 2x – 5 – 1 + x

= 3x – 6

Step 2. Find ( f – g ) ( 2 ).

( f – g ) ( x ) = 3x – 6

( f – g ) ( 2 ) = 3 (2) – 6

= 6 – 6

= 0

Math 0303 Student Learning Assistance Center - San Antonio College 1

Example 3. Given f ( x ) = x2

+ 1 and g ( x ) = x – 4 , find ( f g ) ( x ) and ( f g ) ( 3 ).

Solution

Step 1. Solve for ( f g ) ( x ).

Since ( f g ) ( x ) = f ( x ) * g ( x ) , then

= (x2

+ 1 ) ( x – 4 )

= x

3

– 4 x2

+ x – 4 .

Step 2. Find ( f g ) ( 3 ).

Since ( f g ) ( x ) = x3

– 4 x2

+ x – 4, then

( f g ) ( 3 ) = (3)3

– 4 (3)2

+ (3) – 4

= 27 – 36 + 3 – 4

= -10

Example 4. Given f ( x ) = x + 1 and g ( x ) = x – 1 , find ( x ) and ( 3 ). f

g

⎛ ⎞ ⎜

⎝ ⎠

f

g

⎛ ⎞ ⎜

⎝ ⎠ ⎟ ⎟

Solution

Step 1. Solve for ( x ). f

g

⎛

⎜

⎝ ⎠

⎞

⎟

Since ( x ) = , then ( )

( )

f x

g x

f

g

⎛

⎜

⎝ ⎠

⎞

⎟

= ; x ≠ 1 1

1

x

x

+

−

Step 2 Find . ( ) 3 f

g

⎛ ⎞ ⎜ ⎟ ⎝ ⎠

Since = , then 1

1

x

x

+

− ( ) f x

g

⎛ ⎞ ⎜ ⎟ ⎝ ⎠

=

3 1

3 1

+

− ( ) 3 f

g

⎛ ⎞ ⎜ ⎟ ⎝ ⎠

=

4

2

= 2

Math 0303 Student Learning Assistance Center - San Antonio College 2

NOTE: Any restrictions on the domains of f or g must be taken into account when

performing these operations.

Composition is another operation that may be performed among functions. Simply stated, it is

evaluating one function in terms of another. The format for composition is: (f B g)(x) = f(g(x)).

Example 5. Given f ( x ) = x2 and g ( x ) = x + 1 , find (f B g)(x) and (g B f)(x).

Solution

Step 1. Find (f B g)(x)

Since (f B g)(x) = f( g(x) ), then

= f( x + 1 )

= ( x + 1 )2

Step 2. Find (g B f)(x)

Since (g B f)(x) = g( f(x) ), then

= g ( x2

)

= ( x2

) + 1

Note that (f B g)(x) ≠ (g B f)(x). This means that, unlike multiplication or addition,

composition of functions is not a commutative operation.

The following example will demonstrate how to evaluate a composition for a given value.

Example 6. Find (f B g)(3) and (g B f)(3) if f ( x ) = x + 2 and g ( x ) = 4 – x2

.

Solution

Step 1. Find (f B g)(x) then evaluate for 3.

Since (f B g)(x) = f( g(x) ), then

= f(4 – x2

)

= (4 – x2

) + 2

= 6 – x2

Evaluating for 3

(f B g)(3) = 6 – (3)2

= 6 – 9

= -3

Math 0303 Student Learning Assistance Center - San Antonio College 3

Example 6 (Continued):

Step 2. Find (g B f)(x) then evaluate for 3.

Since (g B f)(x) = g( f(x) ), then

= g (x + 2)

= 4 – (x + 2)2

Evaluating for 3

(g B f)(3) = 4 – (3 + 2)2

= 4 – (5)2

= 4 – 25

= -21

Step-by-step explanation:

There is sufficient evidence that the valve performs above the specifications.

Null Hypothesis (H0): The mean pressure of the valve is equal to 5.3 lbs/square inch

Alternative Hypothesis (H1): The mean pressure of the valve is greater than 5.3 lbs/square inch

To test whether the valve performs above the specifications, a hypothesis test can be used. The test statistic used will be a t-test since the sample size is below 30. The critical value at the 0.05 level is 1.645. The formula for the t-test is: t = (X-μ)/(s/√n) , where X is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the known values, the t-test is calculated as: t = (5.5-5.3)/(0.7/√100) = 2.571. Since this value is greater than the critical value at the 0.05 level (1.645), we can reject the null hypothesis and conclude that there is sufficient evidence that the valve performs above the specifications.

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Given:

Find-:

Select the graph that best describes the inequalities and system of inequalities.

Explanation-:

Graph of first inequality is:

Graph of the second inequality:

So the graph of inequality.



The formula or equation used to determine the slope of a straight line is as follows:

m = (Y₂-Y₁)/(X₂-X₁)

An equation is about two expressions, either arithmetic or algebraic, that are related with a "=" sign that indicates equality of expressions.

Equations can be graphed, they are used to model many problems and theories.

The straight lines are characterized by a finite succession of points, when they have an inclination they adopt a slope value different from 0, and to determine that slope it is necessary to know two points of the line and use the following equation:

m = (Y₂-Y₁)/(X₂-X₁)

Where the points are:

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The number of adults, teenagers, and preteen children present at the band concert can be determined by solving the equation                          x + 1.13y + 0.26z = 4.

Let's analyze the equation x + 1.13y + 0.26z = 4. We can rewrite it as:

x = 4 - 1.13y - 0.26z

From the equation, we observe that the number of adults, x, depends on the number of teenagers, y, and preteen children, z. The coefficients 1.13 and 0.26 represent the relative proportions of teenagers and preteen children compared to adults.

To find the specific values for x, y, and z, we need additional information or equations. The given equation alone does not provide enough information to determine unique solutions for x, y, and z.

However, we can use the equation to analyze the relationship between the variables. For example, if we assume values for y and z, we can calculate x. The values of y and z can be chosen based on the context or any additional information available.

In conclusion, the equation x + 1.13y + 0.26z = 4 describes the relationship between the number of adults, teenagers, and preteen children at the band concert. By choosing appropriate values for y and z, we can calculate the corresponding value of x.

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Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer:

-5/14 (change 2/7 to 4/14 and it’ll help)  

Answer:

\(\frac{7}{9}\) of a mile per hour

0.77777778 of a mile per hour

Step-by-step explanation:

\(\frac{y}{14} :\frac{1}{18}\)

y · 18 = 1 · 14

18y = 14

18y ÷ 18 = 14 ÷ 18

\(y=\frac{7}{9}\)

Answer: 1.28571428571

Step-by-step explanation: You divide the hours by miles

we can find the option price at time t=0 by discounting the expected option price at time t=1: V₀ = (1 / (1 + r)) * (p * V_u + (1 - p) * V_d)

In the one-period binomial option pricing model, we consider a stock price that can either rise to uS or fall to dS, where d < 1 < 1 + r. Here, u represents the upward movement factor, d represents the downward movement factor, and S is the current price of the non-dividend paying stock.

Let's denote the option price at time t=0 as V₀, and the option price at time t=1 as V₁.

At time t=1, there are two possible scenarios: the stock price either rises to uS or falls to dS. We assume that the risk-free rate is r.

To find the option price at time t=0, we use a risk-neutral probability approach. Let p be the probability of an upward movement and (1-p) be the probability of a downward movement.

The expected option price at time t=1, discounted at the risk-free rate, is given by:

V₁ = p * V_u + (1 - p) * V_d

where V_u represents the option price at time t=1 if the stock price rises to uS, and V_d represents the option price at time t=1 if the stock price falls to dS.

Since the option price at time t=1 is determined by the payoffs in the two scenarios, we have:

V_u = max(uS - K, 0)  (option payoff if the stock price rises to uS)

V_d = max(dS - K, 0)  (option payoff if the stock price falls to dS)

Here, K represents the strike price of the option.

To find the risk-neutral probability p, we use the following equation:

p = (1 + r - d) / (u - d)

Finally, we can find the option price at time t=0 by discounting the expected option price at time t=1:

V₀ = (1 / (1 + r)) * (p * V_u + (1 - p) * V_d)

This equation gives us the option price at time t=0 in the one-period binomial option pricing model.

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Answer:

c ≈ 6.08 m

Step-by-step explanation:

Your question is how to solve for a missing side length of a triangle when given 2 sides length and an angle. The side length can be solved using the cosine rule . We use cosine rule to find the length of a side of a triangle when given two sides and an included angle.

The cosine rule formula for finding a side length are as follows

c² = a² + b² - 2ab cosC

b² = a² + c² - 2ac cosB

c² = a² + b² - 2ab cosC

Using cosine rule

c² = 4² + 3² - 2 × 4 × 3 cos 120°

c² = 16 + 9 - 24 cos 120°

c² = 25 - 24 (-0.5)

c² = 25 + 12

c² = 37

square root both sides

c = √37

c = 6.0827625303

c ≈ 6.08 m

The value of the numerical expression is:

498+9-0*5*7+9 =  516

In mathematics, the order of operations are the rules that tell the sequence in which the multiple operations in an expression should be solved.

A way to remember the order of the operations is BODMAS, where each letter stands for a mathematical operation.

Bracket                  (  )

Of multiplication    of

Division                   ÷

Multiplication          x

Addition                  +

Subtraction             -

To determine what is 498+9-0*5*7+9 = . Let use BODMAS:

498+9-0*5*7+9 = 498 + 9 - (0*5*7) + 9     (Multiplication comes first)

                          =  498 + 9 - 0 + 9            (Addition)

                         = 516

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(a) The doubling time of the population is approximately 13.86 years., (b) It takes approximately 23.10 years for the population to triple in size, (c) It takes approximately 27.72 years for the population to quadruple in size.

To calculate the doubling time of the population, we need to find the time it takes for the population to double from its initial value. In this case, the initial population is 9 million.

(a) Doubling Time:

Let's set up an equation to find the doubling time. We know that when the population doubles, it will be 2 times the initial population.

2P(0) = P(t)

Substituting P(t) = 9e^(0.05t), we have:

2 * 9 = 9e^(0.05t)

Dividing both sides by 9:

2 = e^(0.05t)

To solve for t, we take the natural logarithm (ln) of both sides:

ln(2) = 0.05t

Now, we can isolate t by dividing both sides by 0.05:

t = ln(2) / 0.05

Using a calculator, we find:

t ≈ 13.86

Therefore, the doubling time of the population is approximately 13.86 years.

(b) Time to Triple the Population:

Similar to the doubling time, we need to find the time it takes for the population to triple from its initial value.

3P(0) = P(t)

3 * 9 = 9e^(0.05t)

Dividing both sides by 9:

3 = e^(0.05t)

Taking the natural logarithm of both sides:

ln(3) = 0.05t

Isolating t:

t = ln(3) / 0.05

Using a calculator, we find:

t ≈ 23.10

Therefore, it takes approximately 23.10 years for the population to triple in size.

(c) Time to Quadruple the Population:

Similarly, we need to find the time it takes for the population to quadruple from its initial value.

4P(0) = P(t)

4 * 9 = 9e^(0.05t)

Dividing both sides by 9:

4 = e^(0.05t)

Taking the natural logarithm of both sides:

ln(4) = 0.05t

Isolating t:

t = ln(4) / 0.05

Using a calculator, we find:

t ≈ 27.72

Therefore, it takes approximately 27.72 years for the population to quadruple in size.

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Answer:

57393487

Step-by-step explanation:

un kilo por hora espero que te ayude

Answer:

3 rides/hour

Step-by-step explanation:

Not sure what ^^ guy was saying... And I don't understand why?

The correct answer is number of rides / hours.

21 / 7 = 3

Answer:

\(-30\)

Step-by-step explanation:

\(-3(-4)(-2.5)\)

Apply rule \(-(-a) = a\)

\(=-3*4*2.5\)

Multiply the numbers: \(3*4*2.5=30\)

\(=-30\)

The missing value for the probability distribution can be completed by option A.

What is probability distribution?

A probability distribution is a mathematical function that calculates the likelihood that various possible outcomes of an experiment will occur.

Main body:

We know that the sum of probability distribution is always 1.

P= P(X=1) + P(X=2) + P(X=4) + P(X=8) + P(X=16) + P(X=32) + P(X=64)

1= 0.1 + 0.05 + 0.25 + 0.25 + 0.05 + P(X=32) + P(X=64)

P(X=32) +P(X=64) = 1-0.7

                             = 0.3

This condition is satisfied by option A.

hence the answer is option A.

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Answer:

63/8

Step-by-step explanation:

11/8 + 13/4

= 11 + 13x4 /8

= 11 + 52/8

= 63/8

Hope it helps!!

Answer:

red cuz its an odd number so every even number row is blue

Step-by-step explanation:

The color of 35th row in the football stadium is blue color.

A recurring arrangement of numbers, forms, colors, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.

Given that, workers are installing new seats in the football stadium with the team colors.

Here, the pattern is starting with the first row, every sixth row of seats is red. The other rows are blue.

So, 6th row, 12th row, 18th row and so on....

We understood that, red seat are even rows and remaining are blue seat rows

Here, 35th row is blue in color

Therefore, the color of 35th row in the football stadium is blue color.

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Answer:

10.7...........................................

Answer:

Step-by-step explanation:

formula V = 4 / 3πr³

Diameter of the ball is equals to \(2\sqrt[3]{ \frac{129}{2} }\) centimeter for the given volume of the ball.

" Volume is defined as the total space occupied by  3-dimensional object."

Formula used

Volume of the sphere = \(\frac{4}{3} \pi r^{3}\)

Diameter = 2 (radius)

According to the question,

Given,

Volume of the ball = \(86\pi\)

'r' represents the radius of the ball

Substitute the value in the formula of the volume of the sphere we get,

\(\frac{4}{3} \pi r^{3} = 86\pi\)

⇒\(r^{3} = \frac{(86)(3)}{4}\)

⇒\(r=\sqrt[3]{\frac{129}{2} }\)

⇒\(2r=2(\sqrt[3]{\frac{129}{2} })\)

⇒ diameter  \(=2(\sqrt[3]{\frac{129}{2} })\) centimeter.

Hence, diameter of the ball is equals to \(2\sqrt[3]{ \frac{129}{2} }\) centimeter for the given volume of the ball.

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The coordinate of the midpoint of line JK is; (3, 1)

We want to find the midpoint of the line stack JK with bar on top.

The coordinates of the line are;

J(-1,3), K(7,-1)

Now, the formula to find the midpoint is; (x, y) = (x1 + x2)/2, (y1 + y2)/2

Thus, the coordinates of the midpoint of the line are;

(x, y) = (-1 + 7)/2, (3 - 1)/2

(x, y) = 6/2, 2/2

(x, y) = (3, 1)

Thus,the coordinates of the midpoint of line JK is; (3, 1)

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Answer:

1 + 7 = 8

Step-by-step explanation:

Answer:

0.94

Step-by-step explanation:

You just divide 47 by 50 and you get 0.94 bam!

Answer:

see below (I hope this helps!)

Step-by-step explanation:

To find the distance between two points, we can use the formula d = √(x₂ - x₁)² + (y₂ - y₁)² where d = distance and (x₁, y₁), (x₂, y₂) are the points. Therefore:

d = √(-6 - 2)² + (2 - (-6))²

= √(-4)² + (8)²

= √16 + 64

= √80 ≈ 8.944272

Answer:

I think it is complement. Not so sure so sorry If i get it wrong I haven't done this in 2 or 3 years

Step-by-step explanation:

This system of linear Equations gives us c = 2, b = 2, and a = -1. Therefore, the coordinate vector of 1+4t+6t2 relative to the basis S is [-1, 2, 2].

(a) To find the coordinate vectors of each polynomial with respect to the standard basis for P2, we simply need to write each polynomial as a linear combination of the standard basis vectors {1, t, t2}.

1+t = 1(1) + 1(t) + 0(t2) = [1, 1, 0]

12t+02 = 1(0) + 2(t) + 1(t2) = [0, 2, 1]

1+t+3t2 = 1(1) + 1(t) + 3(t2) = [1, 1, 3]

(b) To show that the polynomials are linearly independent, we need to show that the only solution to the equation a(1+t) + b(12t+02) + c(1+t+3t2) = 0 is a = b = c = 0.

We can rewrite the equation as a system of linear equations:

a + c = 0

b + c = 0

3c = 0

From the third equation, we can see that c must be 0. Substituting this into the first two equations gives us a = b = 0. Therefore, the only solution to the equation is a = b = c = 0, which shows that the polynomials are linearly independent.

(c) S must be a basis for P2 because it is a set of three linearly independent vectors in P2. This means that S spans P2 (i.e., any polynomial in P2 can be written as a linear combination of the polynomials in S) and that S is the smallest possible set of vectors that spans P2.

(d) To find the coordinate vector of 1+4t+6t2 relative to the basis S, we need to solve the equation a(1+t) + b(12t+02) + c(1+t+3t2) = 1+4t+6t2 for a, b, and c.

Expanding the left side of the equation and comparing coefficients with the right side, we get:

a + b + c = 1

b + c = 4

3c = 6

Solving this system of linear equations gives us c = 2, b = 2, and a = -1. Therefore, the coordinate vector of 1+4t+6t2 relative to the basis S is [-1, 2, 2].

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The state of the qubit after the spin projection along the x-axis in graph measurement outcome is found to be 1 is |1⟩.

The original state of the qubit is given as |ψ⟩ = a|0⟩ + b|1⟩.

After a spin projection along the x-axis measurement, if the outcome is 1, then the state of the qubit after the measurement is |1⟩. This can be expressed as |1⟩ = a|0⟩ + b|1⟩.

Therefore, the state of the qubit after the spin projection along the x-axis measurement outcome is found to be 1 is |1⟩.

The state of the qubit after the spin projection along the x-axis measurement outcome is found to be 1 is |1⟩.

The state of the qubit before the spin projection along the x-axis measurement was given as |ψ⟩ = a|0⟩ + b|1⟩, where a and b are complex numbers such that |a|2 + |b|2 = 1. After the spin projection along the x-axis measurement, if the outcome was 1, then the state of the qubit after the measurement is |1⟩ = a|0⟩ + b|1⟩, which is the state of the qubit after the spin projection along the x-axis graph measurement outcome is found to be 1.

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Answer:

45cm of tape

Step-by-step explanation:

6p->30cm

1p->5cm

9p->45cm

Step-by-step explanation:

feeling the compa

Como te amo mucho

Answer:

Circle 1

28.269 ÷ 9 = 3.141

Circle 2

25.126 ÷ 8 = 3.14075

Circle

37.686 ÷ 12 = 3.1405

If this helped, please consider picking this answer as the Brainliest Answer. Thank you!

Answer:

4

Step-by-step explanation:

the more sections there are the less of a chance the same section ould be landed on so many times. Its almost impossible to land on one of 400 25 times

Answer:

106,275,100

Step-by-step explanation:

you say if 100= 25 what about 4 25 100 400

=106,275,100