3. A dance studio has fixed monthly costs of $1500 that include rent, utilities, insurance, and advertising. The studio charges $60 for each private lesson, but has a variable cost for each lesson of $35 to pay the instructor. a. Write a linear cost function representing the cost to the studio C(x) to hold x private lessons for a given month. b. Write a linear revenue function representing the revenue R(x) for holding x private lessons for the month. c. Write a linear profit function representing the profit P(x) for holding x private lessons for the month. d. Determine the number of private lessons that must be held for the studio to break-even.

Answer:

51.2

Step-by-step explanation:

there is no answer because there is no .Th in what ever you ate trying to talk abput

Answer:

y = 3x - 2

Step-by-step explanation:

Slope intercept form is y = mx + b and y = 3x - 2 is written in that form: m is 3 and b is -2

Hope this helps!

Answer:

y=3x-2 is correct

Step-by-step explanation:

slope intercept form y=mx+b

A substitute is a good or service that buyers can quickly swap out for another. For instance, a one-dollar bill can be used in place of another dollar bill.

In business and economics, a replacement, or substitutable good, is a good or service that consumers perceive as just being substantially the same as or reasonably similar to some other good. Consumers are given options and alternatives through substitutes, which also spur competition and lower prices in the market.

Here are a few examples of replacement goods:

1. A $1 bill can be exchanged for four quarters.

2. Coke against Pepsi

3. Regular vs. premium gas

4. Butter and lard

5. Tea and coffee

6. Apples and oranges

7. Comparing driving a car to riding a bike

8. Books in general and e-books

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a). We have proved all the given conditions.

b). It is true that condition 3 holds for all regular languages L1 and L2.

(a) Regular languages L1 and L2 can be suggested as follows:

Let \(L_1={0^{(n+1)} | n\geq 0}\)

and

\(L_2={1^{(n+1)} | n\geq 0}\)

We have to prove three conditions:1. L1 ⊈ L2:

The given languages L1 and L2 both are regular but L1 does not contain any string that starts with 1.

Therefore, L1 and L2 are distinct.2. L2  L1:

The given languages L1 and L2 both are regular but L2 does not contain any string that starts with 0.

Therefore, L2 and L1 are distinct.3. (L1 ∪ L2)* = L1* ∪ L2*:

For proving this condition, we need to prove two things:

First, we need to prove that (L1 ∪ L2)* ⊆ L1* ∪ L2*.

It is clear that every string in L1* or L2* belongs to (L1 ∪ L2)*.

Thus, we have L1* ⊆ (L1 ∪ L2)* and L2* ⊆ (L1 ∪ L2)*.

Therefore, L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Second, we need to prove that L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Every string that belongs to L1* or L2* also belongs to (L1 ∪ L2)*.

Thus, we have L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Therefore, (L1 ∪ L2)* = L1* ∪ L2*.

Therefore, we have proved all the given conditions.

(b)It is true that condition 3 holds for all regular languages L1 and L2.

This can be proved by using the fact that the union of regular languages is also a regular language and the Kleene star of a regular language is also a regular language.

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The maximum value of the function f(x, y) = 3y² + 5xy - 3x²  for the square domain 0≤ x ≤6 ,  0≤ y ≤6 is equal to 156.

Function f(x, y) = 3y² + 5xy - 3x²

Partial derivative of the function is equal to,

df/dx = 5y -6x

df/dy = 6y - 5x

To get critical point equate it to zero,

5y - 6x = 0

6y - 5x = 0

Simplify it we get,

Critical point in the interior of the domain is equal to x =  0 and y = 0.

Now for boundary of square,

x = 0

⇒ f(x, y) = 3y²

Maximum value at ( 0, 6 ) is equal to ,

⇒f(0, 6) = 3(6)²

⇒f(0, 6) = 108.

When y = 0

f(x, y) =3x²

Maximum value at ( 0, 0) is equal to,

f( 0,0 ) = 0

Now at ( 2,6 )

f(2,6) = 3(6)² + 5(2)(6) - 3(2)²

         = 108 + 60 - 12

         =156

Therefore, the maximum value of the function f(x ,y) for the square domain is equal to 156.

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The above question is incomplete, the complete question is:

Find the maximum of f(x, y) = 3y² + 5xy - 3x² on the square domain 0≤ x ≤6 ,  0≤ y ≤6(Give an exact answer. use symbolic notation and fractions where needed.)

Answer:

1. The bisector in example 1 is correct.

2. The bisector in example 2 is incorrectly constructed.

Step-by-step explanation:

1. A bisector bisects an angle into two equal angles.

In example 1, angle BAD is equal to angle CAD.

2.A bisector bisects an angle into two equal angles.

In example 2, the produced angles are not equal.

Angle BAD ≠ Angle CAD.

Answer:

The correct answer is Example 1.

(2, [infinity]) is the increasing interval on which the given function is increasing. Thus option A is a correct option.

According to the statement

we have given that the equation and the some intervals and we have explain that the on which interval the given equation is increasing.

S, For this purpose, we know that the

The given equation is :

\(h(x) = |x - 5|^2\)

Now we to find the increasing interval on this is increasing, we have to find the derivative of this term.

So, The derivative becomes:

\(h'(x) = 2|x - 5|\)

And given interval is:

a. (2, [infinity])

b. (5, [infinity])

c. (-[infinity], 2)

d. (-[infinity], 5)

From these the option a represent the increasing of equations.

When we put (2, [infinity])  interval in the equation then the value become grater than zero.

Let we x = 3 then

h'(x) = 2|-2|

h'(x) = 4 > 0.

So, it is increasing.

So, (2, [infinity]) is the increasing interval on which the given function is increasing. Thus option A is a correct option.

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Answer:

we don't need to put parenthesis to the expression:

(21+21) ÷ 7

Explanation:

The expression (21+21)÷7 is already equivalent to 6 because to solve the equation, we first need to make the sum and then the division:

(21+21) ÷ 7

42 ÷ 7

6

Therefore, we don't need to put parenthesis to the expression:

(21+21) ÷ 7

Answer: y = -3/5x - 6

Step-by-step explanation:

There are a few equations that can be used for this, but the simplest one would be y = mx + b

We are given:

y = -3

m = -3/5 (slope)

x = -5

b = ?

Our equation is this, we are solving for b

==> -3 = -3/5 ( -5) + b

==> -3 = -3/5 ( -5) + b ( multiply the brackets)

==> -3 = 3 + b ( subtract 3 to both sides)

==> -6 = b

Now we can make the desired equation in slope intercept form;

y = -3/5x - 6

Hope this helped! Have a great day :D

Answer:

2/3

Step-by-step explanation:

1, 2,4, 6

so that’s 4 numbers out of 6 so 4/6, 2/3

Answer:

2/3

Step-by-step explanation:

TOTAL number of outcomes=6

outcomes possible=4. (1,2,4,6)

P= 4/6=2/3

Answer:

No 1/3 is not greater than 5/9.

Step-by-step explanation:

If an investigator is getting responses very close to each other when assessing skinfold thickness 5 consecutive times, it is a sign that the measurements are precise or reliable.

Measurements refer to the process of quantifying physical quantities or properties such as length, mass, time, temperature, and more. The aim of measurements is to obtain accurate and reliable data that can be used for various purposes, such as scientific research, industrial applications, engineering, and construction.

Measurement involves comparing an unknown quantity with a known standard or unit of measurement. For example, length can be measured using a ruler, mass can be measured using a scale, and time can be measured using a clock. The units of measurement used can vary depending on the system of measurement used, such as the metric system or the imperial system.

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Answer:

y = -2

Step-by-step explanation:

31 = 3 (y+7) - 8y

31 = 3y +21 - 8y

31 = -5y +21

10 = -5y

-2 = y

Answer:

x + 600 ≥ 2400

Step-by-step explanation:

Given:

Amount needed = $2,400

Amount they had = $600

Find:

Amount they need

Computation:

Assume;

Amount they need = x

x + 600 ≥ 2400

The average rate of change of y with respect to x over the interval [1, 5] for function \(y=4x^{2}\) is 24.

To find the average rate, follow these steps:

Therefore, the average rate of change of y with respect to x over the interval [1, 5] for the function \(y=4x^{2}\)  is 24.

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Answer:

d. 4x − 5y = 27x + 6y = 10

I hope my answer helps you.

Answer:

c. Susan's debt-to-income ratio decreased by about 15%

Step-by-step explanation:

Susan's previous salary = $52,000

Susan's new salary = $68,000

Susan's mortgage = $1,500

The total of three minimum credit card payment = $350

Her lease payment = $280

Her student loan payment = $250

Her personal loan payment = $325

Therefore, her total debt = $1,500 + $350 + $280 + $250 + $325 = $2,705

Her new Debt to loan ratio = (Her total deb)/(Her total new income) = 2705/68000 = 3.9779 %

Her previous to loan ratio = (Her total deb)/(Her total previous income) = 2705/52000 = 5.2%

The percentage change in her debt to income ratio = (5.202 - 3.9779)/5.202 ≈ 23% decrease

Therefore, the best option is Susan's debt-to-income ratio decreased by about 15%.

Answer:

c. Susan's debt-to-income ratio decreased by about 15%

Step-by-step explanation:

e d g e

The car-driven cost increases with an increase in miles. After substituting x = 1,2,3,4.... you will find that it is increasing by 0.29 every time.

Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. The expression on the left and the expression on the right is shown to be equal in reference to one another.

According to the question,

y = 0.29 x + 209

Where x is the number of miles and y is representing the driving cost of the car.

Substitute x = 1,2,3,4...... in the above equation.

y₁ = 0.29 (1) + 209 = 209.29

y₂ = 0.29 (2) + 209 = 209.58

y₃ = 0.29 (3) + 209 = 209.87

y₄ = 0.29 (4) + 209 = 210.16 and so on.

Now, take the difference,

y₂ - y₁ = 0.29

y₃ - y₂ = 0.29

y₄ - y₃ = 0.29

Hence, it is clear that with an increase in each mile the cost is increasing by 0.29.

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The parametric representation of the solutions is:

x = -3 + 2t - w

y = -2 + 2t

z = t

w = w

where t and w are arbitrary parameters.

The given system of linear equations is:

3x - 6y + 6z + 4w = -5

3x - 7y + 8z - 5w + 8t = 9

3x - 9y + 12z - 9w + 6t = 15

To solve this system, we can use the augmented matrix and perform row reduction to find the reduced row echelon form. From there, we can determine the solutions.

Explanation:

Constructing the augmented matrix and performing row reduction, we have:

[3 -6 6 4 | -5]

[3 -7 8 -5 | 9]

[3 -9 12 -9 | 15]

By applying row reduction operations, we obtain the following reduced row echelon form:

[1 -2 0 1 | -3]

[0 1 -2 1 | -2]

[0 0 0 0 | 0]

From the reduced row echelon form, we can see that the system has infinitely many solutions. This is indicated by the presence of free variables (parameters) in the system. In this case, we have two free variables represented by the parameters t and w.

The parametric representation of the solutions is:

x = -3 + 2t - w

y = -2 + 2t

z = t

w = w

where t and w are arbitrary parameters.


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Answer:

The person who created ixl is dead so why is ixl not.My teachers laugh when they give us ixl.

Step-by-step explanation:

Answer:

(5, 2)

Step-by-step explanation:

Lets substitute y = -x + 7 into 4x-5y=10

Then we can write 4x-5y=10 as 4x-5×(-x+7)=10,

4x-(-5x)-35=10

9x-35=10

9x=45

x=5, therefore, y= -5+7=2

Answer:

did u just answer your own question

Step-by-step explanation:

The distribution for X is a negative binomial distribution, denoted as nb(x;6, 188​), with parameters r = 6 (number of successes), p = 8/18 (probability of success in each trial).

To compute the probabilities:

P(X = 2): nb(2;6, 8/18)

P(X ≤ 2): nb(0;6, 8/18) + nb(1;6, 8/18) + nb(2;6, 8/18)

P(X ≥ 2): 1 - P(X < 2) = 1 - P(X ≤ 1)

To calculate the mean value and standard deviation of X:

Mean (μ) = r * (1 - p) / p

Standard Deviation (σ) = sqrt(r * (1 - p) / (p^2))

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The resulting index value represents the position of the desired element in a hypothetical one-dimensional array formed by collapsing all the dimensions of the original multidimensional array into a single dimension.

The equivalent single-dimensional index for accessing the element ar[29][1][3][0][17][20] in the array int ar[45][14][10][10][43][50] can be calculated as follows:

First, we need to determine the number of elements before the desired element in each dimension. Starting from the outermost dimension:

The size of the first dimension is 45, so there are 45 elements in each block of size 14x10x10x43x50.

The size of the second dimension is 14, so there are 14 elements in each block of size 10x10x43x50.

The size of the third dimension is 10, so there are 10 elements in each block of size 10x43x50.

The size of the fourth dimension is 10, so there are 10 elements in each block of size 43x50.

The size of the fifth dimension is 43, so there are 43 elements in each block of size 50.

The size of the sixth dimension is 50.

To calculate the equivalent single-dimensional index, we multiply the number of elements in each dimension by the respective size of the block and sum them all together. In this case, it would be:

Index = (29 * (14 * 10 * 10 * 43 * 50)) + (1 * (10 * 10 * 43 * 50)) + (3 * (10 * 43 * 50)) + (0 * (43 * 50)) + (17 * 50) + 20

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Answer:

in my knowledge I think 13

we know the turtle is half as old as her parrot

so if we divide 10 by 3/4 we can get how old the turtle is

The Fibonacci series in which 0 does not consider is 1,2,3,5,8,13,21,34,…

A series of numbers known as the Fibonacci sequence is one in which each succeeding number is created by adding the two numbers that came before it. The Fibonacci sequence is named for the Italian mathematician who created it.

The standard Fibonacci series

0,1,1,2,3,5,8,13,21,34,…

When 0 is not considered as Fibonacci number, the series can be rewritten as,

1,2,3,5,8,13,21,34,…

The Fibonacci series where number 0 is excluded is 1,2,3,5,8,13,21,34,…

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Answer:

-31/2= -15.5

-15.5 is rational number

Step-by-step explanation: