Help please!!!

Determine the domain and range of each function.
31.
32.

Answer:

You will not win in the wrong run

Step-by-step explanation:

if you pay $51.00 to play one game and won you would have $2.00 back and you would have payed $49.00 to play a game

Bill faces the standard linear budget constraint and has a utility function for X and Y of: U (X, Y)= 4 In X+4 InY.

The formula for calculating the slope of the income consumption curve is as follows:Slope of the Income Consumption Curve = -ΔY/ΔX  where ΔX is the change in the quantity of X, and ΔY is the change in the quantity of Y.

Since Bill faces the standard linear budget constraint, his budget equation is PxX + PyY = I, where Px is the price of X, Py is the price of Y, and I is his income.His utility function can be written as U(X, Y) = 4ln(X) + 4ln(Y).

Now let us maximize his utility function subject to his budget constraint:L = 4ln(X) + 4ln(Y) - λ(PxX + PyY - I)

Taking the partial derivative of L with respect to X and Y and equating them to zero:∂L/∂X = 4/X - λPx = 0∂L/∂Y = 4/Y - λPy = 0

Solving for λ in terms of X and Y, we get:λ = 4/XPx = λY/Py

Now substituting this value of λ in the budget equation:PxX + PyY = I becomes λYX + PyY = IY/X = I

Slope of the Income Consumption Curve = -ΔY/ΔX = -Y2/Y1 / X2/X1 = (-I/Y2Px)/(I/X1Py) = -1/Y1(Py/Px) = -1/4(Py/Px).

The correct option is OPx/Py.

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Explanation

The question wants us to determine the number of different ID cards that can be made if there are 3 digits on a car.

To do so, let us first list out all the possible outcomes. These are:

We can see that there are 10 possible digits

For the first case where no digit can be used more than once, we will have

Therefore, there are

For the second case, if the digits can be repeated, then, we will have

Then, since the numbers can be repeated, we will have

Step-by-step explanation:

Given

\( = \frac{ {x}^{2} - 9 }{ {x}^{2} - 3x} \\ = \frac{(x + 3)(x - 3)}{x(x - 3)} \\ = \frac{(x + 3)}{x} \)

Hope it will help :)❤

Answer:$67 hope this helps

Step-by-step explanation:

Answer:

i think it will be #3

Step-by-step explanation:

Answer:

Girls to Total:  24/32 or 3/4

Step-by-step explanation:

Girls: 24

All Students: 8+24 = 32

Girls to Total:  24/32 or 3/4

If the expected value is greater than zero, then the game is

A game is said to be "fair" if the expected value for winnings is 0, that is, in the long run, the player can expect to win 0.

Option A is wrong

If the expected value is greater than zero, then the game is fair and favorable to player

Option B is Correct

A game is said to be an unfair game, and not favorable is when one or more players have more or less chance of winning than other players.

Option C is wrong

A game is not fair game, but favourable to player with less starting advantage always loses or, at best, forces a draw".

Option D is wrong

Answer:

Step-by-step explanation:

y=mx+b   is the standard form

m= slope

If the slopes are the same they are parallel

If the slopes are Opposite signed and reciprocals, then they are perpendicular

both of the slopes are 5, so the lines are parallel

Answer:

add

80+25=180

and u will get your answer

Answer:

6? i am soooo confused

Step-by-step explanation:

Answer:

1-   1/3 x +3y=1

y=2/3 x-4    

solution : x=39/7 , y=-2/7

3x-2y=11

-3x-y=4   solution x=1/3, y=-5

Step-by-step explanation:

1/3 x +3y=1

y=2/3 x-4

solve by substitution for y in the first equation:

1/3 x + 3(2/3 x-4)=1

1/3 x+6/3 x-12=1

7/3 x=12+1

7/3 x=13 ⇒7x=39 ⇒x=39/7=5 4/7

y=2/3 x -4

y=2/3 (39/7)-4

y=72/21  -4

y=-4/7

second problem:

3x-2y=11

-3x-y=4    solve by elimination: add two equation to eliminate x

3x-2y-3x-y=11+4

-3y=15

y=15/-3 ⇒y=-5

substitute y in one of the equations: 3x-2y=11

3x-2(-5)=11

3x+10=11

3x=11-10

x=1/3

The root of the graph of f(x) =(x - 5)3(x + 2)2 touches the x-axis at -2,5

(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.

(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.

Given: Function f(x) is (x - 5)3(x + 2)2

If a curve touches the x-axis then f(x) = 0

⇒ (x - 5)3(x + 2)2 = 0.

But if ab = 0 ⇒ either a = 0 or b = 0 or both zero.

⇒ (x - 5)3 = 0 and (x + 2)2 = 0

⇒ (x - 5) = 0 and x + 2 = 0

⇒ x = 5 and x = - 2.

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Math SAT scores explain about 98.7% of the variation in the total SAT scores.

In statistics, correlation or dependence exists as any statistical relationship, whether causal or not, between two random variables or bivariate data.

A correlation exists as a statistical measure (expressed as a number) that defines the size and direction of a relationship between two or more variables. A correlation between variables, however, does not automatically mean that the change in one variable exists as the cause of the change in the values of the other variable.

Since r² exists = (0.9935)² = 0.9870, we interpret r² as 98.7% of the variation in the y variable exists explained by the x variable.

In context, math SAT score explains about 98.7% of the variation in total SAT score.

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Answer:

circle a circumference is 25.13 and the area is 50.27. circle b circumference is 9.42 and the area is 7.0 7

I have no clue about part C

The number of units that have to be produced and sold to break-even is 125 units.

To calculate the break-even point, we need to consider the fixed cost, variable cost per unit, and selling price per unit. The break-even point is reached when the total revenue equals the total cost.

Let's assume x represents the number of units to be produced and sold. The total cost is the sum of the fixed cost and the variable cost per unit multiplied by the number of units:

Total Cost = Fixed Cost + (Variable Cost per Unit × Number of Units)

The total revenue is the selling price per unit multiplied by the number of units:

Total Revenue = Selling Price per Unit × Number of Units

At the break-even point, Total Revenue = Total Cost. Using the given values:

$20x = $1,000 + ($12x)

Simplifying the equation:

20x = 1,000 + 12x

8x = 1,000

x = 125

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The given expressions, when A=1, B=0, and C=1, X evaluates to 1.001; when A=B=C=1, X evaluates to 1.111; and when A=B=C=0, X evaluates to 0.000. These evaluations are based on the given values of A, B, and C, and the notation ¯¯¯¯¯¯BC represents the complement of BC.

To evaluate the expression X = A.¯¯¯¯¯¯BC, we substitute the given values of A, B, and C into the expression.

(a) For A = 1, B = 0, and C = 1:

X = 1.¯¯¯¯¯¯01

To find the complement of BC, we replace B = 0 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯01 = 1.¯¯¯¯¯¯00 = 1.001

(b) For A = B = C = 1:

X = 1.¯¯¯¯¯¯11

Similarly, we find the complement of BC by replacing B = 1 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯11 = 1.¯¯¯¯¯¯00 = 1.111

(c) For A = B = C = 0:

X = 0.¯¯¯¯¯¯00

Again, we find the complement of BC by replacing B = 0 and C = 0 with their complements:

X = 0.¯¯¯¯¯¯00 = 0.¯¯¯¯¯¯11 = 0.000

In conclusion, when A = 1, B = 0, and C = 1, X evaluates to 1.001. When A = B = C = 1, X evaluates to 1.111. And when A = B = C = 0, X evaluates to 0.000. The evaluation of X is based on substituting the given values into the expression A.¯¯¯¯¯¯BC and finding the complement of BC in each case.

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The $2 and $3 profits from the sale of sandwiches and wraps respectively, and the equation that is used to calculate the profit gives;

1. The equation is; \( \displaystyle{y = 490 - \frac{2}{3} \cdot x}\)

The slope, m = \( \displaystyle{ - \frac{2}{3}}\)

The y–intercept, c = 490

2. The graph can be drawn by joining the y–intercept to a point found by moving along the slope from the y–intercept

3. \( \displaystyle{f(x) = 490 - \frac{2}{3} \cdot x}\)

4. Please find attached the graph of the number of wraps to the number of sandwiches

5. Please find attached the combined graph of the two functions

The similarity is the common slope

The difference is the y–intercept

The slope is the ratio of the rise to the run of the graph.

The given function is; 2•x + 3•y = 1470

Where;

x = The number of sandwich sold

y = The number of wraps sold

The profit per sandwich sale = $2

Profit per each wrap sale = $3

1. The slope and intercept form is; y = m•x + c

Where;

m = The slope

c = The y–intercept

Therefore, 2•x + 3•y = 1470 gives;

3•y = 1470 - 2•x

y = (1470 - 2•x)÷3 = 490 - (2/3)•x

\( \displaystyle{y = \frac{1470-2\cdot x}{3} = 490 - \frac{2}{3} \cdot x}\)

Therefore;

By comparison, we have;

2. Using the slope and intercept method to graph the line involves the following steps.

3. The equation in function notation is; \( \displaystyle{f(x) = 490 - \frac{2}{3} \cdot x}\)

The meaning of the function is that the number of wraps sold is given by the difference between 490 and two thirds of the number of sandwiches sold, or that as the number of sandwiches sold increases by by 1, the number of wraps sold decreases by 2/3

4. The graph can be created using a spreadsheet application

Please find attached the graphs of the function

5. With a profit next month of $1,593, we have;

2•x + 3•y = 1593

Which gives;

\( \displaystyle{y = 531 - \frac{2}{3} \cdot x}\)

Given that the equation of the graph of the previous month is y = 490 - (2/3)•x, we have;

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The slower cyclist travels at a rate of 12 mph, while the faster cyclist travels at a rate of 19 mph.

The rate of each cyclist can be found by setting up a system of equations based on the given information.
Let's assume the rate of the slower cyclist is "x" mph. Since the other cyclist travels 7 mph faster, their rate would be "x + 7" mph.

We know that the total distance traveled by both cyclists after 3 hours is 93 miles. Since they are traveling in opposite directions, their distances add up to 93 miles.

So, the equation can be set up as follows:
3x + 3(x + 7) = 93

To solve this equation, we can distribute the 3 on the left side:
3x + 3x + 21 = 93

Combining like terms:
6x + 21 = 93

Next, we isolate the variable by subtracting 21 from both sides:
6x = 72

Finally, we solve for x by dividing both sides by 6:
x = 12

Therefore, the slower cyclist's rate is 12 mph, and the faster cyclist's rate is x + 7 = 12 + 7 = 19 mph.

In conclusion, the slower cyclist travels at a rate of 12 mph, while the faster cyclist travels at a rate of 19 mph.

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The break-even point is 1100 products sold. This means that if the store can sell 1100 products, it will be able to cover its costs and make a profit.

What is average ?

The average is a measure of central tendency that is calculated by adding a set of values together and dividing the sum by the number of values. It is also known as the arithmetic mean. It is a way to represent a typical value of a dataset.

The break-even point is the point at which the cost of the products equals the revenue from the sales of the products. To find the break-even point, we need to set the cost function (C(x) = 550 + 3.00x) equal to the revenue function (R(x) = 5.50x) and solve for x.

C(x) = 550 + 3.00x = R(x) = 5.50x

3.00x = 5.50x - 550

0.50x = 550

x = 1100

So the break-even point is 1100 products sold. This means that if the store can sell 1100 products, it will be able to cover its costs and make a profit.

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Answer:

e/g

Step-by-step explanation:

It's e/g cosine is always the adjacent side divided by the hypotenuse

After considering the compounded interest, is we can see that the total value of the investments 85708.50 €.

To calculate the total value of the company's investments in the fund at the beginning of the year 2012, we need to take into account the initial investment in 2007, the additional investment in 2010, and the compounded interest over the years.

Let's break down the calculations step by step:

The total investment at the beginning of 2010 is the sum of the initial investment and the additional investment:

30280 € + 43739 € = 74019 €.

Calculate the compounded interest from 2010 to 2012:

To calculate the compound interest, we can use the formula: A = P(1 + r/n)^(nt),

where A is the final amount, P is the principal amount, r is the annual interest rate (expressed as a decimal), n is the number of compounding periods per year, and t is the number of years.

In this case, the principal amount is 74019 €, the annual interest rate is 7.6% (0.076 as a decimal), and the compounding period is once per year. The time period is from the beginning of 2010 to the beginning of 2012, which is 2 years.

A = 74019(1 + 0.076/1)¹*²

A = 74019(1.076)²

A ≈ 74019 * 1.159776

A ≈ 85708.50

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True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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Answer:

c = 154°

Step-by-step explanation:

I Hope this helps.

Given the odds in favor of event E as 16 to 4, the probability of event E is 4/5.The probability of event E is then the number of favorable outcomes divided by the total number of outcomes. So, P(E) = 16/20 = 4/5.

The odds in favor of event E are given as 16 to 4. To compute the probability of event E, we need to convert these odds into a fraction.

The odds in favor of E are 16 to 4, which means that for every 16 favorable outcomes, there are 4 unfavorable outcomes.

To find the probability, we add the number of favorable outcomes and the number of unfavorable outcomes together. In this case, 16 + 4 = 20.

The probability of event E is then the number of favorable outcomes divided by the total number of outcomes. So, P(E) = 16/20 = 4/5.

Therefore, the probability of event E is 4/5.In summary, given the odds in favor of event E as 16 to 4, the probability of event E is 4/5.

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Answer:

Confused

Step-by-step explanation:

so what do you ever so mean by "look at my picture" ????

Answer: WITH ALL OF IT OR ONE OF THEM

Step-by-step explanation:

The best prediction for the number of times that Leo will get an odd number is 200.

The probability of getting an odd number (1 or 3) is 2/4 = 1/2.

Using the expected value formula, we can predict the number of times that Leo will get an odd number:

Expected number of odd numbers = (probability of getting an odd number) x (total number of trials)

Expected number of odd numbers = (1/2) x (400) = 200

Therefore, the best prediction for the number of times that Leo will get an odd number is 200.

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Answer:

71

93.5

x=15.5

Step-by-step explanation:

(2x+40)+(5x+16)+(x)=180

you have to put all the measures together and equal it to 180. when it comes to triangles, all the angles added together are equal to 180.

now solve the equation and you should get this:

x=15.5

the next step is to solve the give equations separately:

2(15.5)+40=71

5(15.5)+16=93.5

(15.5)=15.5

now to check the work, you have to add all the measures that were just calculated:

71+93.5+15.5=180 so check!