Indicate whether (1, 5) is a solution of the given system.

The graph of the equation is a hyperbola, (-1, 1).

We have,

To identify the graph of the equation x² - 2x - 2 - 36 = 0 and find the point (h,k), we need to rearrange the equation into a standard form and analyze the coefficients.

x² - 2x - 38 = 0

By comparing this equation to the general form of an ellipse and a hyperbola, we can determine the correct graph.

The equation for an ellipse in standard form is:

((x - h)² / a²) + ((y - k)² / b²) = 1

The equation for a hyperbola in standard form is:

((x - h)² / a²) - ((y - k)² / b²) = 1

Comparing the given equation to the standard forms, we see that it matches the equation of a hyperbola.

Therefore,

The graph of the equation is a hyperbola, (-1, 1).

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Answer:

4 cats

Step-by-step explanation:

Since Charlie has 8 times as many cats as Waylon you should divide Charlie's number by 8. 32/8=4 so Waylon has 4 cats.

The water in the aquarium tank will rise by 0.05 cm when the brick is placed in the bottom of the tank.

The volume of the brick is calculated as 40 cm x 20 cm x 10 cm = 8000 cm^3. Since the brick is submerged in the water, the amount of water displaced by the brick is equal to the volume of the brick. Therefore, the water level will rise by the same amount as the volume of the brick, which is \(8000 cm^3\).

To calculate the rise in water level, we need to divide the volume of the brick by the area of the rectangular base of the tank. The area of the rectangular base is calculated as 100 cm x 400 cm = \(40000 cm^2\). Dividing the volume of the brick (\(8000 cm^3\)) by the area of the rectangular base \(40000 cm^2\) gives us 0.2 cm. However, the brick is not placed at the bottom of the tank, but rather at a height of 40 cm. Therefore, we need to divide the calculated value by the height of the tank, which is 40 cm. This gives us a final result of 0.2 cm / 40 cm = 0.05 cm, which is the rise in water level when the brick is placed in the bottom of the tank.

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It step 3 I got The same question on khan academy

Answer:

292 lines of code

Step-by-step explanation:

1.) Multiply.    25 times 5 = 125

2.) Multiply previous answer by 2 (because he wrote twice as much).             125 times 2 = 250

3.) Add 42 to previous answer.    250 + 42 = 292

The correct answer is (Option B): Observations with values of 200 are included in the class frequency.

When a class interval is expressed as "100 up to 200," it means that the class includes all observations with values greater than or equal to 100 and less than or equal to 200. So observations with a value of 200 would be included in the class frequency.

A. Observations with values of 100 are excluded from the class frequency - This is incorrect, as a class interval typically includes the lower value but not the upper value. For example, if the class interval is 100 up to 200, then observations with values of 100 would be included in the class frequency.

B. Observations with values of 200 are included in the class frequency - This is correct, as a class interval typically includes the lower value but not the upper value. For example, if the class interval is 100 up to 200, then observations with values of 200 would be included in the class frequency.

C. Observations with values of 200 are excluded from the class frequency - This is incorrect, as a class interval typically includes the lower value but not the upper value. For example, if the class interval is 100 up to 200, then observations with values of 200 would be included in the class frequency.

D. The class interval is 99 - This is incorrect, as the class interval is specified as 100 up to 200, not 99. The class interval is the range of values that are grouped together for the purpose of counting the frequency of observations.

Therefore, The correct answer is (Option B): Observations with values of 200 are included in the class frequency.

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Average is the best prediction. For the given case, if someone is wanting to  work for Fast Pax, then his salary is most likely to be around $39,500

Arithmetic mean is the best central measure available for representing the values of a data set.  It is also called average of the values of the considered data set.

It serves as one representation of the values of the data set. If for a data set, only its average is given, then we can't say much about the values of the data set, but we can  say that the data values are going to be around that average (average is closest number to its data set's values compared to any other number)

It serves as predicted value(in case no other information of the data is available) of that data set.

Average provides ill information in case of skewed data.

Thus, for the given case, as average annual salary for the Fast Pax is $39,800, so we can say that, the salaries of someone who wants to work for Fast Pax would be around $39,800 most probably.

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Answer:

The data is skewed, so the mean is not a good measure of the data.

A median of $20,000 is probably a better indicator of the salary you would earn.

75% of all employees make less than $25,000 annually.

Step-by-step explanation:

The 95% confidence interval is given as B. (0.296, 0.870 )

Here, the given information is a summary of a regression model.

95% confidence interval calculated as follows

Height=slope =0.583 , Standard Error( S.E.)=0.138, n=23

Critical value for \(t_{n-1, \alpha/2} =t_{23-2, 0.05/2}=2.08 ( from t table)\)

Confidence interval

\((slope \pmt_{n-2, \alpha/2}*S.E.)\)

(0.583 \pm2.08*0.138)

The correct option is B. (0.296, 0.870 )

When modeling the relationship between a scalar response and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable, and multiple linear regression is used when there are numerous variables.

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In the end, Moe played 51 games, while  Meeny played 17 games and Miny played 35 games.

We can start solving the problem by using algebra. Let x be the number of games Moe played. Then, since Meeny and Miny played 17 and 35 games respectively, the total number of games played is 17 + 35 + x = x + 52.

We know that in the second game and on, the one who sat out the preceding game would replace the loser of that game. Therefore, the number of games played by Moe is one less than the number of games played by Meeny and Miny combined.

x = (17 + 35) - 1 = 51.

So, Moe played 51 games.

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The complete question is -

Meeny, Miny and Moe were playing tennis. From the second game on, the one who sat out the preceding game would replace the loser of that game. In the end, Meeny played 17 games and Miny played 35 games. How many games did Moe play?

Answer:

35 < u

Step-by-step explanation:

25 < u - 10

25 + 10 < u - 10 + 10

35 < u

Answer:  (x+2)^2/x+2

= x+2 * x+2 / x+2

= x+2

Hope it helped u,

pls mark as the brainliest

^_^

The probability that the top face has an odd number of dots is 1/2. A die is a small cube that is used in gambling, games, and fortune-telling. A die is a polyhedral object that has six faces, twelve edges, and eight vertices. On the die, each face is numbered with a certain number of dots or digits.

The problem of the probability of the top face having an odd number of dots is being asked. The problem says that one of the dots is removed from the standard die at random with each dot equally likely to be chosen, then the die is rolled. Therefore, the dots will not be the same as in the standard die. An odd number is a number that, when divided by two, gives a remainder of one. 1, 3, and 5 are examples of odd numbers on a standard die. There are three possibilities: one, three, and five. Each face of the die has an equal chance of being chosen. There are only five possible results because one of the dots is removed from the standard die at random. There is a 1 in 5 chance that the missing dot will be an odd number. Hence, the probability that the top face has an odd number of dots is 1/2.

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Answer:

x=-6

Step-by-step explanation:

-5x+1=31

-5x=30

x=-6

The equation that represents the proportional relationship is \(y=\frac{1}{4}x\).

What is proportion?

Proportion is a mathematical concept that describes the equality of two ratios. In other words, it is a statement that two ratios or fractions are equal.

For example, if we have two fractions \(\frac{a}{b}\) and \(\frac{c}{d}\), we can say that they are in proportion if:

=> \(\frac{a}{b}=\frac{c}{d}\)

Now the ratio between x and y = 4:1

Here x = 28 then y = \(\frac{1}{4}\times28 = 7\)

Then, x = 12 then \(y=\frac{1}{4}\times12 = 3\)

We can see that the ratio between X and Y is always 4:1, which means that Y is one-fourth of X. We can write this as:

=>\(y=\frac{1}{4}x\)

Therefore, the equation that represents the proportional relationship is:\(y=\frac{1}{4}x\).

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Answer:

2

Step-by-step explanation:

I'm here to settle this :p

Answer:

difference: -10 + 0i, location: on the real axis

Step-by-step explanation:

got it right on edge

The difference between Z1 and Z2 is -10 + 0i.

\(Z_{1} -Z_{2}\)  locates on the real axis.

Option B is correct.

Complex numbers are the numbers that are expressed in the form of

a + ib where, a, b are real numbers and 'i' is an imaginary number called “iota”. The value of i = (\(\sqrt{-1}\)). For example, 2 + 3i is a complex number, where 2 is a real number (Re) and 3i is an imaginary number (Im).

From the graph we can know

\(Z_{1} (-5,2) = -5 +2i\)

\(Z_{2} (5,2) = 5 +2i\)

The difference between Z1 and Z2 is \(Z_{1} -Z_{2}\)

\(Z_{1} -Z_{2}\) = (-5 + 2i) - (5 + 2i)

= -5 + 2i - 5 - 2i

= -10 + 0i

\(Z_{1} -Z_{2}\)  locates on the real axis.

Option B is correct.

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Answer:

This question is missing some parts, but Dave could have:

- Dave 25 weets, Martin 0 weets

- Dave 27 weets, Martin 3 weets

- Dave 29 weets, Martin 6 weets

- Dave 31 weets, Martin 9 weets

...

Step-by-step explanation:

Since we don't really have much information, we can only rely on the ratio to pull through. Assuming that the ratio is refering to 2 (Dave) : 3 (Martin), we can multiply both by whatever number to get whatever total weets they might have.

Since Martin gives Dave 15 weets, that means that Martin has to have at least 15 weets. So we have to multiply the ratio (Dave and Martin both) with 5+ to get whatever total amount of weets they each have.

So (2/3)(5/5) that Dave might have 10 weets and Martin might have 15 weets. Then when Martin gives Dave 15 weets, Dave'll have 25 weets and Martin 0.

But there's no other information on the total number of weets or anything so Dave may have 25, 27, 29, 31, etc weets.

Answer:

Nominal decisions can be broken into two distinct categories: dichotomous decisions and polychotomous decisions.

The correct equation to find the number of miles Alberto is running after training for w weeks is B. M= 2w + 5.

We know that Alberto starts with running 5 miles, and increases his distance by 2 miles each week. So after w weeks, he would have run 5 + (2 x w) miles.

Therefore, the equation that represents the number of miles, M, run by Alberto after training for w weeks would be:

M = 2w + 5

To verify this, we can substitute different values of w in the equation to calculate the corresponding value of M. For example, if w=3, then:

M = 2(3) + 5

M = 11

So after training for 3 weeks, Alberto will be running 11 miles. Similarly, we can check for other values of w to see that the equation holds true.

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Answer:

The percentage change is -21%

Step-by-step explanation:

The percentage change can be expressed by the formula;

(new price -old price)/old price * 100%

New price = £150

old price = £189

Inputing these values in the formula, we have;

(150-189)/189 * 100%

-39/189 * 100%

= -20.63% and that is approximately -21%

Answer:

radius is 6

diameter is 12

Step-by-step explanation:

to find radius you divide the diameter by 2

All functions f having the indicated property is y = 150x/2 = 75x.

Given, the tangent to the graph of f at the point (x, y) intersects the x-axis at (x + 91, 0).

Let's find the equation of the tangent line of a function f at a point (x, y) with the help of the slope-intercept form of a linear equation.

The slope-intercept form of a linear equation: y = mx + c

Where, m is the slope of the line and, c is the y-intercept.

Since the tangent line intersects the x-axis at (x + 91, 0).

Therefore, the x-intercept of the line will be (x + 91, 0).

Thus, the slope of the tangent line at the point (x, y) will be given by: m = (y - 0)/(x - (x + 91)) = - y/91

Hence, the equation of the tangent line of the function f at the point (x, y) is:y = (-y/91)x + c

Substitute the point (x, y) in the above equation, we get: y = (-y/91)x + (y + (x + 91)y/91) ⇒ 91y

                                                                                                 = -xy + y + xy + 91y ⇒ 91y

                                                                                                 = 2xy + y ⇒ 92y

                                                                                                 = 2xy ⇒ y

                                                                                                 = x/46

Let's write the equation of function f in point-slope form with the given point (x, y) and slope m:

y - y1 = m(x - x1)⇒ y - y

        = (-y/91)(x - x)⇒ 0

        = (-y/91)x + y⇒ x/46

        = y

Thus, the equation of function f is y = x/46.

Note: The given property is satisfied by all functions of the form y = kx/2 where k is any constant, in particular k = 150.

Hence, another possible answer is y = 150x/2 = 75x.

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The area of the left over wood is

Area of the kite

perimeter of the kite

The area of the left over wood is given by

= area of the circle - area of the pentagon

area of the circle

= pi * r^2

= pi * 5^2

= 78.54 square cm

area of the pentagon

= 5/2 * a * 5

solving for a

360 / 5 = 72

72 / 2 = 36

cos 36 = a / 5

a = 5 cos 36 = 4

area of the pentagon = 5/2 * 4 * 5 = 50 sq cm

left over wood = 78.54 - 50 = 28.54 square cm

Area and perimeter of kite

area of kite = product of the two diagonals

length of one of the diagonals = 2 * KT = 2 * 12 = 24 cm.

The second diagonal

tan 30 = KT / x

x = 12 / tan30 = 20.78

the length = 12 + 20.78 = 32.78

area of the kite = 32.78 * 24 = 786.72 square cm

perimeter of the kite

= addition of the sides = 2(shorter side + longer side)

Using Pythagoras rule

shorter side = √(12² + 12²) = 16.97

longer side =  √(20.78² + 12²) = 24

perimeter = 2 (16.97 + 24) = 81.94 cm

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Answer:

2561

Step-by-step explanation:

sum of three and five: 3 + 5 = 8

To the third power: 8^3 = 512

Times five: 512 * 5 = 2560

Plus one: 2560 + 1 = 2561

So:

2561

In the curve of the sinusoidal curve when x = -2 y = 2

A sinusoidal curve, also known as a sine wave, is a type of waveform that is commonly used to describe oscillations or periodic phenomena in various fields such as physics, engineering, mathematics, and electronics.

A sinusoidal curve is a graph of a function that oscillates between an upper value and a lower value, and repeats itself over a period of time.

In order to find the value of y when x = -2, from the x-axis at x = -2 trace it to touch the curve and then trace to the y-axis to get the y value (Check the attached).

Therefore, when x = -2, y = 2

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The final sum is 250 degrees.

What is geometry?

Geometry is a branch of mathematics that deals with the study of points, lines, angles, shapes, and their properties and relationships in space. It includes concepts such as measurement, congruence, similarity, symmetry, and transformations. Geometry has practical applications in fields such as art, architecture, engineering, and physics.

In the given diagram, we can see that angle a and angle b are vertical angles because they share a common vertex and their sides are opposite rays. Therefore, a = 70 degrees.

Angle c is a supplementary angle to angle b, meaning that their sum is 180 degrees. Therefore, c = 180 - 50 = 130 degrees.

Adding all three angles, we get:

a + b + c = 70 + 50 + 130 = 250 degrees.

So the final sum is 250 degrees.

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The formula for the uncertainty of x, Δx, can be derived using partial derivatives as follows:

Δx = √((Δa/a)² + (Δb/b)² + (Δc/c)²)

To derive the formula for the uncertainty of x, Δx, we can use the concept of partial derivatives. The general formula for the uncertainty propagation of a function involving multiple variables is given by:

Δf = √((∂f/∂x₁)²Δx₁² + (∂f/∂x₂)²Δx₂² + ... + (∂f/∂xₙ)²Δxₙ²)

In this case, we have x = ab/c, and we want to find Δx. We can assign x as a function of a, b, and c:

f(a, b, c) = x = ab/c

To find Δx, we need to calculate the partial derivatives (∂f/∂a), (∂f/∂b), and (∂f/∂c) and substitute them into the general formula.

∂f/∂a = b/c

∂f/∂b = a/c

∂f/∂c = -ab/c²

Now, we can substitute these partial derivatives into the uncertainty propagation formula:

Δx = √((∂f/∂a)²Δa² + (∂f/∂b)²Δb² + (∂f/∂c)²Δc²)

= √((b/c)²Δa² + (a/c)²Δb² + (-ab/c²)²Δc²)

= √((b²Δa² + a²Δb² + a²b²Δc²)/c²)

= √((a²b²Δc² + b²Δa² + a²Δb²)/c²)

Simplifying further, we get:

Δx = √(a²b²Δc² + b²Δa² + a²Δb²)/c

Thus, the formula for the uncertainty of x, Δx, is:

Δx = √(a²b²Δc² + b²Δa² + a²Δb²)/c

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In the given situation there are 144 possible ways for the nine representatives at the table.

We will first determine how many different options there are to seat the delegates of the three nations at the table.

We can arrange the three delegates we have for England in 3! = 6 different ways.

We can arrange the four delegates we have for Germany in 4! = 24 different ways.

We can organize the two representatives we have for France in 2! = 2 different ways.

The total number of arrangements for all nine delegates is obtained by multiplying the number of arrangements for each country's representatives.

6 x 24 x 2 = 288 ways

However, because the table is round, two configurations are deemed identical if they can both be created by rotating one.

To put it another way, the configurations are identical to one another and are not counted individually.

The total number of configurations divided by the number of identical arrangements gives the number of ways to position all nine representatives around the table (also known as rotations).

288 / 2 = 144

The nine representatives can be seated at the table in 144 different ways.

Because 144 is an even number, it should be noted that there are actually twice as many possible methods to solve the problem (144 x 2 = 288), or 540 options.

Therefore, in the given situation there are 144 possible configurations for the nine representatives at the table.

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Complete question:
An international meeting is held between england, Germany, and france. three representatives attend from England, four from germany, and two from france. how many ways can all nine representatives sit around a circular table, if representatives of the same country sit together? (two ways are considered the same if one can be rotated to produce the other.)