Evaluate x2-y when x= -2 and y = -5

Answer:

x^2/3-3

Step-by-step explanation:

Answer:

50°

Step-by-step explanation:

65 + 65 +C = 180

130+C = 180

C = 180 - 130 = 50

Hi there!

\(\large\boxed{C = 50^o}\)

A line contains an angle of 180°, so:

∠C = 180° - 65° - 65°

∠C = 180° - 130°

∠C = 50°

There are 5 erasers to accompany the 20 pencils based on the given ratio.

If the ratio of pencils to erasers is 4:1, and there are 20 pencils, we can determine the number of erasers by setting up a proportion.

The proportion can be written as:

pencils/erasers = 4/1

Given that there are 20 pencils, we can substitute this value into the proportion:

20/erasers = 4/1

To solve for erasers, we can cross-multiply:

\(20*1=4*erasers\)

\(20 = 4*eraser\)

Since there is only 1 unit assigned to erasers, we multiply the unit value (5) by the number of eraser units (1) to find the total number of erasers, which is 5.

Dividing both sides by 4:

20/4 = erasers

5 = erasers

Therefore, there are 5 erasers.

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To find the unique Subgame Perfect Nash Equilibrium (SPNE) in the repeated bargaining game with T = 3, δ = 0.5, and three players, we need to analyze the game step by step.

In this game, players engage in bargaining for T periods, and the discount factor is δ = 0.5, indicating future payoffs are discounted by 50%.

Let's denote the three players as Player 1, Player 2, and Player 3.

At each period, players simultaneously propose a division of the pie, which is represented by a number between 0 and 1. If all players agree on the proposed division, the game ends, and each player receives their respective share. However, if players fail to agree, the game continues to the next period.

To find the SPNE, we need to identify a strategy profile that is a Nash equilibrium at every subgame of the repeated game.

In this case, since T = 3, we have three periods to consider.

Period 3:

In the last period, players have no future gains from cooperation. Therefore, they will propose a division that gives them the entire pie. This implies that each player will propose 1, and since they all agree, the game ends with each player receiving a share of 1.

Period 2:

In the second period, players consider the possibility of reaching the last period. Knowing that proposing 1 leads to a division of (1, 0, 0) in the last period, each player will prefer to propose a division that ensures they receive the largest share in the second period. Since there are no future periods, the Nash equilibrium division will be (1, 0, 0).

Period 1:

In the first period, players consider the possibility of reaching the second and third periods. Knowing that proposing 1 in the second period leads to a division of (1, 0, 0) in the third period, each player will prefer to propose a division that ensures they receive the largest share in the first and second periods. Again, there are no future periods to consider, so the Nash equilibrium division will be (1, 0, 0).

Therefore, the unique SPNE in this repeated bargaining game is for each player to propose a division of 1 in each period.

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Answer:

1

Step-by-step explanation:

Y=2x+3

Y=2×(-1)+3

Y=1

n^3 + 6

I'll make n stand for the number

Six more means adding extra 6 onto our number cubed.

So, n x n x n = n^3

(n^3 means n cubed)

Thus, answer is n^3 + 6

Hope this helps!

Answer:

x=-5

Step-by-step explanation:

6x+3=5x-8 subtract 5x from both sides

x+3=-8x subtract 3 from both sides

x=-5

Answer:

x = - 11

Step-by-step explanation:

6x + 3 = 5x − 8

Subtract 5x from both sides.

6x + 3 − 5x = −8

Combine 6x and −5x to get x.

x + 3 = −8

Subtract 3 from both sides.

x = −8 − 3

Subtract 3 from −8 to get −11.

x= −11

The required equation function j which is the transformation of \(f(x)= x^{1/2}\) is  \(j(x)= (x+2)^{1/2}\) .

As we can see in the graph the functions j and f are similar but the graph of j is 2 units left of f. So, function f(x) has a domain of real number greater than equal to zero, while as the function j is 2 units left of f then its equation is given as  \(j(x)= (x+2)^{1/2}\)  where the domain of j is all real numbers greater then or equal to -2.

Thus, the equation of function j is the transformation of \(f(x)= x^{1/2}\) is  \(j(x)= (x+2)^{1/2}\) .

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In the question the graph is missing, a graph has been added on behalf of the incomplete question.

The statements concerning areas under the standard normal curve that are true: a) If a z-score is negative, the area to its right is greater than 0.5. b) If the area to the right of a z-score is less than 0.5, the z-score is negative.

After analyzing these statements, I can conclude that:

a) True - If a z-score is negative, it means that the value is below the mean. In a standard normal curve, the mean has 50% of the area to the left and 50% to the right. Therefore, a negative z-score will have more than 50% of the area to its right.

b) True - If the area to the right of a z-score is less than 0.5, it means that the z-score is above the mean since more than 50% of the area is to the left. In a standard normal curve, the mean corresponds to a z-score of 0. Thus, a z-score with less than 50% of the area to its right is negative.

c) False - If a z-score is positive, the area to its left is greater than 0.5, not less. This is because a positive z-score indicates that the value is above the mean, and more than 50% of the area lies to the left.

So, the correct answer is that statements a) and b) are true, while statement c) is false.

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The total cost of materials and labor for the office space, considering a tile unit cost of P300 and labor cost equal to the materials cost, amounts to P63,000.

To calculate the total cost of materials and labor, we first need to determine the cost of the tiles. Given that the unit cost of a certain tile is P300, we can multiply this by the area of the office space to find the total cost of the tiles. The office space has an area of 63 sqm, so the total cost of the tiles is P300 * 63 = P18,900.

Next, we need to calculate the labor cost, which is 100% of the materials cost. Since the materials cost is P18,900, the labor cost will be equal to P18,900. Therefore, the total cost of labor is also P18,900.

To find the total cost of materials and labor, we add the cost of the tiles (P18,900) and the labor cost (P18,900): P18,900 + P18,900 = P37,800.

Therefore, the total cost of materials and labor for the office space is P37,800.

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The oscillator frequency is 0.5 MHz (megahertz).

In digital electronics, an oscillator is a circuit that generates a continuous and repetitive waveform at a specific frequency.

This frequency is usually determined by the machine cycle, which is the time it takes for a single machine cycle to execute in a computer system.

The oscillator frequency can be calculated as the reciprocal of the machine cycle time.

If the machine cycle is given as 2 μs (microseconds), then the oscillator frequency is:

f = 1 / T

where T is the machine cycle time.

Substituting the given value of T, we get:

f = 1 / (2 μs)

To simplify this expression, we can convert microseconds to seconds by dividing by \(10^6:\)

\(f = 1 / (2 \times 10^-6 s)\)

Simplifying further, we get:

\(f = 0.5 \times 10^6 Hz\)

Therefore, the oscillator frequency is 0.5 MHz (megahertz).

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We are given that an egg weighs 2.5 ounces and that there are 16 ounces in a pound. We also know that the rice apparatus is directly proportional to the egg apparatus. The rice apparatus needs to be the same weight and size as the egg apparatus.

To find out how much bigger the rice apparatus needs to be, we need to determine the weight of the rice apparatus. First, we calculate the weight of the bag of rice by multiplying the weight of a pound (16 ounces) by the number of pounds (65 pounds). This gives us 1040 ounces (16 * 65).

Next, we need to determine the ratio between the egg apparatus and the rice apparatus. Since they are directly proportional, we can set up a proportion using their weights:

(egg weight) / (rice weight) = (egg size) / (rice size)

Substituting the values we have, we get:

2.5 / (rice weight) = 2.5 / (1040)

Now, we can solve for the weight of the rice apparatus:

(rice weight) = (2.5 * 1040) / 2.5

Simplifying, we find:

(rice weight) = 1040

Therefore, the weight of the rice apparatus needs to be the same as the weight of the bag of rice, which is 1040 ounces.

In terms of size, since the weight of the rice apparatus is directly proportional to the egg apparatus, we can conclude that the rice apparatus needs to be the same size as the egg apparatus.

In summary, the rice apparatus needs to be the same weight and size as the egg apparatus.

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The two blocks resting with mass as 2.04kg and 1.02kg respectively has force between them of 29.98n and the acceleration of the each block is 1.96m/s².

Force is an external agent that may change the condition of rest or motion of a body. It has a magnitude as well as a direction. The direction of the force is the place where force is applied, and the application of force is the location where force is applied.

minimum force to lift the body is F = (ma + mb)g

= (2.04 + 1.02)9.8

= 29.98N

F is nearly equal to F so it is okay.

Fext = 30N

F = 36N

acceleration of the each block will be same

acceleration = net force/total mass = F = (ma+mb)g/(ma+mb)

= 36 - 29.98/3.06

= 1.96m/s²

Therefore, the acceleration of each block is 1.96m/s².

Acceleration is the rate at which velocity varies over time, both in terms of speed and direction. A point or object travelling in a straight path is accelerated if it accelerates or decelerates. Even if the speed is constant, motion on a circle is accelerated because the direction is always changing.

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Complete question :

Consider two blocks at rest, stacked as shown in the figure below. Block A has mass mA = 2.04 kg and block B has mass mb = 1.02 kg. Gravity acts downwards. B A. (a) Draw the free-body diagram of each block and determine the magnitude of all forces. Hint: the normal force acting upwards on block A is not 20 N; use Newton's third law. Next, suppose you lift block A by exerting an external force Fext upwards on block A. (b) Argue that the minimum force needed to lift the blocks is Fext = = 30 N. (c) Consider the case where Fext = 36 N and the blocks are lifted off the ground. Re-draw the free-body diagram of each block. What is the acceleration of each block?

As per the concept of compound interest, the balance after 7 years will be $2,200.24.

In your case, you have a savings account balance that is compounded annually. The interest rate is 2% per year, which means that at the end of each year, the balance will increase by 2% of the previous year's balance. So, if your current balance is $1,932.00, the balance after one year will be:

Balance after one year = $1,932.00 + 2% of $1,932.00

= $1,932.00 + $38.64

= $1,970.64

After two years, the balance will be:

Balance after two years = $1,970.64 + 2% of $1,970.64

= $1,970.64 + $39.41

= $2,010.05

The formula for compound interest is:

A = P(1 + r/n)ⁿˣ

where:

A = the final amount

P = the principal amount (initial balance)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

ˣ = the number of years

In your case, the interest is compounded annually, so n = 1. The annual interest rate is 2%, which is equivalent to 0.02 as a decimal. The initial balance is $1,932.00, and you want to know the balance after 7 years, so t = 7. Using these values in the formula, we get:

A = $1,932.00(1 + 0.02/1)¹ˣ⁷

= $1,932.00(1.02)⁷

= $2,200.24

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Answer: The price per ounce of gold increases by 106.63%.

Step-by-step explanation:

Given: Price in 2005 = $ 513

Price in 2015 - $ 1060

Now , \(\text{Percentage increase in price}=\dfrac{\text{Change in price}}{\text{ Initial price}}\times100\)

\(\Rightarrow\ \text{Percentage increase in price}=\dfrac{1060-513}{513}\times100\\\\=\dfrac{547}{513}\times100\\\\= 1.0663\times100\%=106.63\%\)

hence, the price per ounce of gold increases by 106.63%.

The number that is less than 1.25 is 1.2.

The given number is a decimal.  A decimal is a number that is made up of a whole number and fractional parts divided by a point. For example in 1.25, 1 is the whole number and 2 and 5 are the fractional parts.

The number that is greater than 1.25 would have either its tenth value greater than 2 or its hundredth value greater than 5. The number less than 1.25 would have either its tenth value less than 2 or its hundredth value less than 5.

Here are the options to this question: a)1.35, b)1.3, c)1.26 , d)1.2​. To learn more about decimals, please check: https://brainly.com/question/109147

The correct answer is "move in trends."

Technical analysis is a methodology used to evaluate securities and identify trading opportunities based on statistical trends and patterns in their price and volume movements.

It is based on the idea that the price of a security reflects all available information, and that this price is determined by the interaction between supply and demand in the market.

Technical analysts believe that stock prices move in trends, meaning that they tend to continue in the same direction over a certain period of time. They use various tools and techniques, such as charts and indicators, to identify these trends and make trading decisions based on them.

While technical analysis does not predict the future price movements of securities with certainty, it provides traders with a framework to understand market behavior and make informed decisions.

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Answer:

Step-by-step explanation:

Answer:

29°F < t < 94°F

Step-by-step explanation:

The point on the line y = 92x closest to the point (1, 0) is (1/8465, 4/365). To find the point on the line y = 92x closest to the point (1, 0), we can use the distance formula.

The distance between two points (x₁, y₁) and (x₂, y₂) is given by:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Let's denote the point on the line y = 92x as (x, 92x). The distance between (1, 0) and (x, 92x) is:

Distance = √[(x - 1)² + (92x - 0)²]

To find the point (x, 92x) that minimizes this distance, we need to minimize the expression under the square root.

Minimizing the expression is equivalent to minimizing the square of the expression:

Distance² = (x - 1)² + (92x - 0)²

Expanding and simplifying this expression, we have:

Distance² = x² - 2x + 1 + 8464x²

Combining like terms, we get:

Distance² = 8465x² - 2x + 1

To find the value of x that minimizes this expression, we take the derivative with respect to x and set it equal to zero:

d(Distance²)/dx = 0

Differentiating the expression with respect to x, we get:

16930x - 2 = 0

Solving for x, we have:

16930x = 2

x = 2/16930 = 1/8465

Now, substituting this value of x back into the equation y = 92x, we can find the corresponding y-coordinate:

y = 92 * (1/8465) = 92/8465 = 4/365

Therefore, the point on the line y = 92x closest to the point (1, 0) is (1/8465, 4/365).

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Answer:

Step 1: Obtain the mean and standard deviation of the weights of packs of chewing gum. The weights of packs of chewing gum for a certain brand have a mean of 47.1 grams and a standard deviation 2.- grams. Step 2: Obtain the z-score of the randomly selected pack of gum. The z-score of the randomly selected pack of gum is 3.11. Step 3: Determine which of the following statements is true: The weight of this pack of gum is lighter than the mean weight by 3.11 standard deviations The weight of this pack Of gum is heavier than the mean weight by 3.11 standard deviations The weight of this pack Of gum is lighter than the mean weight by 2.4 standard deviations The weight of this pack Of gum is heavier than the mean weight by 2.4 standard deviations

No. of children in lamb, chicken, duck, and turkey category is 66, 24, 18 and 12 respectively.

Percentage is the value per hundredth.

According to the given question a survey was carried out among 120 school children looked at which type of meat they preferred. 55% said they preferred lamb,20% said they preferred chicken, 15% preferred duck and 10% turkey and we have to calculate no. of children in each category.

55% said they preferred lamb, So the no. of students i this category is

= (55/100)×120

= 66 children.

20% said they preferred chicken, So the no. of children in this category is

= (20/100)×120

= 24 children.

15% said they preferred duck, So the no. of children in this category is

= (15/100)×120

= 18 children.

10% said they preferred turkey, So the no. of children in this category is

= (10/100)×120

= 12 children.

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Answer:

La altura de la pirámide es de 8.14 unidades.

Step-by-step explanation:

Hay una pirámide cuadrangular regular cuyas caras laterales forman un ángulo que mide 53º con la base y el área de la superficie lateral es 60. ¿Qué altura tiene?

Dado que el área de superficie lateral = 60

Tenemos

Área del triángulo equilátero = (√3 / 4) × a²

 (√3 / 4) × a² = 60

a² = 60 / (√3 / 4) = 80 · √3

a = √ (80 · √3) = 11.77 unidades

La altura inclinada = Altura de la superficie inclinada = a × sin (60) = 11.77 × sin (60)

La altura inclinada = 11.77 × sin (60) = 10.194 unidades

La altura de la pirámide = Altura inclinada × sin (ángulo de caras laterales con la base)

La altura de la pirámide = 10.194 × sin (53) = 8.14 unidades.

La altura de la pirámide = 8.14 unidades.

The potential error in the measurements made on this scale, where it reads 0.01g when it is empty, is systematic error.

Systematic errors are consistent and repeatable errors that occur in the same direction and magnitude for each measurement. In this case, the scale consistently reads 0.01g even when there is no weight on it. This indicates a systematic error in the scale's calibration or zeroing mechanism.

Random errors, on the other hand, are unpredictable and can vary in both direction and magnitude. They do not consistently affect measurements in the same way.

Since the error in this case consistently affects the measurements in the same way (always reading 0.01g), it is classified as a systematic error.

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The volume of the given solid bounded by the coordinate planes and the plane 8x + 7y + z = 56 is approximately 522.67 cubic units.

To find the volume of the solid bounded by the coordinate planes and the plane 8x + 7y + z = 56, you'll need to first determine the coordinates of the vertices of the solid.

The vertices of the solid can be found by setting x, y, or z to zero and solving for the other variables:
1. (x, y, z) = (0, 0, 0)
2. (x, y, z) = (7, 0, 0) => 8x = 56 => x = 7
3. (x, y, z) = (0, 8, 0) => 7y = 56 => y = 8
4. (x, y, z) = (0, 0, 56) => z = 56

The solid is a triangular pyramid with vertices (0, 0, 0), (7, 0, 0), (0, 8, 0), and (0, 0, 56). Now, find the volume using the formula:
Volume = (1/3) * Base Area * Height

The base is a right triangle with legs of length 7 and 8, so its area can be calculated as:
Base Area = (1/2) * 7 * 8 = 28

The height can be found by calculating the perpendicular distance from vertex (0, 0, 56) to the base plane (x-y plane). The base plane is defined by the equation:
z = 56 - 8x - 7y

At (0, 0, 56), the equation becomes:
56 = 56 - 8(0) - 7(0)

Since the point lies on the plane, the perpendicular distance is the z-coordinate, which is 56.

Now, calculate the volume:
Volume = (1/3) * 28 * 56 = 28 * 18.6667 ≈ 522.67 cubic units

The volume of the given solid bounded by the coordinate planes and the plane 8x + 7y + z = 56 is approximately 522.67 cubic units.

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To use this method, you can call it in the main method like this:
numInverter.swapArrayEnds(sortedArray);
This will swap the first and last elements of the sortedArray.

Here is a solution for the swapArrayEnds() method:

public void swapArrayEnds(int[] arrayVals) {
  // Check if array has at least 2 elements
  if (arrayVals.length >= 2) {
     int temp = arrayVals[0]; // Store first element in temp variable
     arrayVals[0] = arrayVals[arrayVals.length-1]; // Replace first element with last element
     arrayVals[arrayVals.length-1] = temp; // Replace last element with temp variable
  }
}

This method takes an integer array as a parameter and swaps the first and last elements of the array. It first checks if the array has at least 2 elements to avoid swapping the same element. It then stores the first element in a temporary variable, replaces the first element with the last element, and replaces the last element with the temporary variable.

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the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

n the given problem, we have an implicit equation ln(x+y+z) = x+2y+3z that defines z as a function of x and y. We are given the values dy = (-1, 5, -3).

To find the derivative dy/dx, we can use the total derivative formula and apply it to the implicit equation. The total derivative is given by dy/dx = - (∂F/∂x)/(∂F/∂y), where F = ln(x+y+z) - x - 2y - 3z.

Differentiating F partially with respect to x and y, we have (∂F/∂x) = 1/(x+y+z) - 1 and (∂F/∂y) = 1/(x+y+z) - 2.

Plugging in the given values of dy = (-1, 5, -3), we can calculate dy/dx = - (∂F/∂x)/(∂F/∂y) = -(-1)/(5-2) = 1/3.

Therefore, the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

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Answer:

No, They are not similar

Step-by-step explanation:

Use the fact that a triangle has 180 degrees. 180 - 30.4 - 84.6 = 65

The First Triangle has an angle of 65, the second has one with 66.

Given that the equation of the lane passing through points A and B is -7x + 3y = -21.5, we need to find the equation of the central street PQ. Among the provided options, we need to determine which equation represents the central street.

To find the equation of the central street PQ, we need to identify the relationship between the central street and the given lane passing through points A and B. Since the streets in the game are depicted as either perpendicular or parallel lines, the central street must be perpendicular to the given lane.

To determine the equation of a line perpendicular to -7x + 3y = -21.5, we can use the fact that the slopes of perpendicular lines are negative reciprocals of each other. The given line has a slope of (coefficient of x / coefficient of y) = -7/3. The slope of the perpendicular line will be the negative reciprocal of this slope, which is 3/7.

Now, let's analyze the provided answer choices:

A. -3x + 4y = 3: This equation does not have a slope of 3/7 and therefore does not represent a line perpendicular to the given lane. It can be eliminated.

B. -1.5x − 3.5y = -31.5: This equation also does not have a slope of 3/7 and is not perpendicular to the given lane. It can be eliminated.

C. 2x + y = 20: This equation does not have a slope of 3/7 and is not perpendicular to the given lane. It can be eliminated.

D. -2.25x + y = -9.75: This equation has a slope of 2.25, which is the negative reciprocal of the slope of the given lane (-7/3). Therefore, this equation represents a line that is perpendicular to the given lane and can be considered as the equation of the central street.

Thus, the correct answer is D. -2.25x + y = -9.75, which represents the equation of the central street PQ.

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