Q5
If Ø(2) = y + ja represents the complex potential for an electric field and a = p? + (x+y)2-2xy + (x + y)(x - y), determine the function(z)? х

The expression is equivalent to (f circle g) (x) will be (3x+2)²+1. The correct option is D.

A number is obtained by dividing another number by itself without leaving a leftover. To put it another way, if multiplying two whole numbers produces a product,

The given expression is;

\(f(x) = 3x + 2 \\\\ g(x) = x_2 + 1\)

\((f g)(x) =g(f(x)) =g(3x+2)=(3x+2)^2 +1\)

The expression is equivalent to (f circle g) (x) will be (3x+2)²+1. Option D is correct.

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The number of hours lopudres will have to jog is .4 hours.

Lord wants to run at least 1.5 miles, and her pace is shown in the picture as 3.75 miles per hour, and the question asks us to construct an inequality expressing x for the amount of hours she would have to run. To meet this inequality, we'll need to apply how quickly or how many miles she wants to cover with how fast she's going to run, so we'll divide 1.5 miles by her rate of 3.75 miles per hour, and when you divide you'll get a number of hours, which comes out to 0.4 hours.

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Answer:

the ratio would be 03:18, 1:6, 2:12

Answer: I have the same problem exact same what grade are you in?

Step-by-step explanation:

Answer: X = 6

Step-by-step explanation:

imagine it kind of like a time line!

AB + BC = AC

3x+1 +2x -7 = 24

5x -6 = 24

5x = 30

x = 6

hope that this helped! :))

The total number of people going for the field trip is 240 people

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data,

The number of students in the school bus = 36 students

The number of adults in the school bus = 4 adults

So,

Total number of people on 1 school bus = number of students + number of adults

Total number of people on 1 school bus \(= 36 + 4\)

                                                                  \(= 40 \ \text{people}\)

Now,

Total number of people on 6 school buses = Total number of people on 1 school bus x 6

Total number of people on 6 school buses \(= 40 \times 6\)

                                                                       \(= 240 \ \text{people}\)

Hence, the total number of people going for the field trip is 240 people

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Answer:

Use mathpapa, it's a great calculator and it explains the steps

Can I have brainliest?

Step-by-step explanation:

The volume of the box is 72 cubic feet.

We have,

To find the volume of the box, we need to multiply its length, width, and height.

Given:

Length = 4 ft

Breadth = 6 ft

Height = 3 ft

The volume of the box is:

Volume = Length x Breadth x Height

Volume = 4 ft x 6 ft x 3 ft

Volume = 72 cubic feet

Therefore,

The volume of the box is 72 cubic feet.

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Distribution table for the question is attached below :

Answer:

0.533

Step-by-step explanation:

Let :

M = math

D = Drama

Probability that a randomly chosen student takes math or drama ; P(M u D)

Recall:

P(A u B) = p(A) + p(B) - p(A n B)

P(M u D) =  p(M) + p(D) - p(M n D)

Probability = required outcome / Total possible outcomes

From the table :

P(M) = 119 / 302

P(D) = 67 / 302

P(M n D) = 25 / 302

Therefore,

P(M u D) = 119/302 + 67/302 - 25/302

P(M u D) = (119 + 67 - 25) / 302

P(M u D) = 161 / 302

P(M u D) = 0.5331125

P(M u D) = 0.533 ( 3 decimal places)

Answer:

x^2 + 8x + 7 and x(x + 8) + 7

Step-by-step explanation

Answer:

Here,

x + 25° + 3x + 95° + 80°=360° (Sum of angles of a quadrilateral is 360°)

or,x+3x + 25° + 95° + 80° =360°

or,4x + 200 = 360°

or,4x = 360 - 200

or,4x = 160

or,x = 160÷4

or,x = 40

Now,

Angle K = (x + 25)° = 40 + 25° = 65°

Angle L = 3x° = 3 × 40° = 120°

In the context of data patterns in a time series, regular patterns in a data series that take place over long periods of time are called trends.

A trend is a long-term direction in which a series of data points moves. In other words, it describes how the data varies over time in a specific direction (upward, downward, or horizontal).

There are three types of trends: upward trend, downward trend, and horizontal trend (also known as stationary trend). An upward trend indicates that the data is increasing over time, while a downward trend indicates that the data is decreasing over time.

On the other hand, a horizontal trend indicates that the data is stable or random over time, and it's neither increasing nor decreasing.

For instance, in the figure below, the green line represents an upward trend, the red line represents a downward trend, and the blue line represents a horizontal trend.

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Answer:

3y + 2

Step-by-step explanation:

10 + 2y - 8 + y = 2y + y + 10 - 8 = 3y + 2

Equations are collections of two or more statements with equal signs.

I must locate the solution that the hanger diagram matches. \(3x=4\) is the equation that fits the hanger diagram. Thus, option C is correct.

The hanger shows a total weight of 7 units on one side that is balanced with 3 equal, unknown weights and a 1-unit weight on the other.

Two or more expressions containing equal signs are called equations. I need to find the equation that corresponds to the hanger diagram. The hanger model is a visual representation of the equation.

Both sides must have the same weight to keep the hanger balanced. Like scales and barbells. There are 3 x on the left side of the hanger and 4 x on the right side.

So \(3x=4\)  is an equation that satisfies the given trailer diagram.

So option C is correct.   \(3x=4\) is the equation that fits the hanger diagram.

From the diagram we have,

Left=x+x+x

Right \(=1+1+1+1\)

This gives

Left=\(3x\)

Right \(=4\)

Therefore, the equation \(3x =4\)

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Answer:172.72

Step-by-step explanation:

68 inches = 172.72 centimeter

How to convert inches to centimeter ?

Add 2.54 centimeters to the provided inch value to convert it to centimeters. For instance, multiply 7 by 2.54 to translate from inches to centimeters.

What is centimeter ?

The International System of Units' centimeter (SI symbol cm), sometimes known as a centimeter (international spelling) or centimeter (American spelling), is a unit of length (SI),

Exactly how big is one inch?

A yard and a foot are equivalent to an inch. A metric inch is precisely 2.54 centimeters. One whole inch is made up of two half inches and four quarter inches.

what is a inch ?

The British imperial and American customary systems of measurement both use the inch as their standard unit of length (symbolised as in or ′′). It is the same as 1/36 of a yard 

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The eye color of people on commercial aircraft flights is not a random variable.

What is random variable?

Random variables are variables that can take on different values based on the outcome of a random event or experiment.

However, eye color is a characteristic of individuals and does not vary randomly within a specific context, such as being on a commercial aircraft flight. Eye color is determined by genetic factors and does not change during a flight or as a result of being on a flight.

Eye color is a categorical variable that represents the color of an individual's eyes, such as blue, green, brown, or hazel. While it is not a random variable in the context of commercial aircraft flights, it can still be observed and recorded as a characteristic of the passengers on the flight.

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Answer:

H) {8, 9, 10, 11, 12}

Step-by-step explanation:

The domain of a problem is the set of all possible values that can be the input of a given function. In this case, the problem asks for the number of volleyball players are on a team. Since one cannot have a fraction of a person, then the domain must be a set of whole numbers. Moreover, the problem gives one the information that there has to be at least (8) players, and no more than (12). Thus, the only option that satisfies all of these requirements is option (H). Therefore the correction option is the following,

H) {8, 9, 10, 11, 12}

The marginal revenue curves for the given demand curves are: MR = -0.5  Q + 12 In a monopoly market, the marginal revenue curve is always below the demand curve. This is because a monopolist can only increase their revenue by decreasing the price of their product, and therefore they must lower the price for all units sold, not just the last one.

For the first demand curve, P = -5Q + 25, the marginal revenue curve can be found by taking the derivative of the demand curve with respect to Q. This gives us:

MR = dP/d Q = -5

So the marginal revenue curve is a horizontal line at MR = -5. Adding the intercept of the demand curve at P = 25, we get:

MR = -5Q + 25

For the second demand curve, P = -0.5Q + 12, the marginal revenue curve can be found in the same way:

MR = dP/dQ = -0.5

So the marginal revenue curve is a horizontal line at MR = -0.5. Adding the intercept of the demand curve at P = 12, we get:

MR = -0.5Q + 12

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Answer:

suggest or assume the existence, fact, or truth of (something) as a basis for reasoning, discussion, or belief.

Step-by-step explanation:

Answer:

Postulate means a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.  It means that something may be true.

Step-by-step explanation:

Can't really explain a definition :v

Answer:

Your answer (x + 4)2 =-11 x + 4)2 13 x + 4)221 Correct answer.

Appropriate letter next to the corresponding sequence are;

a_n = 6n + 1 --> __C__

a_n = 6^n --> __D__

a_n = 6n --> __A__

a_n = 6 --> __B__

A more detailed explanation of the answer.

A) a_n = 6n+ 1
For this sequence, we can use the recursive definition a_n+1 = a_n + 6 for n ≥ 1 and a_1 = 7.
So, the appropriate letter is: a_n = 6n + 1 --> __C__

B) a_n = 6^n
For this sequence, we can use the recursive definition a_n+1 = 6a_n for n ≥ 1 and a_1 = 6.
So, the appropriate letter is: a_n = 6^n --> __D__

C) a_n = 6n
For this sequence, we can use the recursive definition a_n+1 = a_n + 6 for n ≥ 1 and a_1 = 6.
So, the appropriate letter is: a_n = 6n --> __A__

D) a_n = 6
For this sequence, we can use the recursive definition a_n+1 = a_n for n ≥ 1 and a_1 = 6.
So, the appropriate letter is: a_n = 6 --> __B__

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Answer:

Graph of a geometric sequence

equal changes in the input cause the output to be successively multiplied by a constant. cause the output to be successively multiplied by a constant (determined by the common ratio). Thus, geometric sequences always graph as points along the graph of an exponential function.

An example of a geometric sequence is given below as

A geometric sequence takes the function given in the formula below

When n=1, An=-3

When n=2 ,An=-1

When n=3,An =1

We can see that they do not have a constant value of the common ratio (r)

Hence,

The graph DOES NOT represent a geometric sequence

The last equallity is false! Because 0 IS NOT equal to 24, and thus the initial equation has no solution!!!

Answer:

c. the lines are the same

Step-by-step explanation:

A system of linear equations has an infinite number of solutions because the lines are the same. The correct answer would be an option (C).

A linear equation is defined as an equation in which the highest power of the variable is always one.

If a system of linear equations has an infinite number of solutions, it means that the equations are equivalent and represent the same line in the coordinate plane.

Therefore, the graphs of the two equations will be the same line, meaning that the lines are coincident. They won't intersect at one point, nor will they be parallel, as the definition of an infinite number of solutions is that they are the same line. And they can be graphed, as they represent a single line in the coordinate plane.

Hence, the correct answer would be option (C).

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An inequality that can be written in the form ax + by < c (where a and b are not both zero) is called a linear inequality in two variables.

An inequality that represents a line in a two-dimensional coordinate system is referred to as a linear inequality. The set of points that satisfies the inequality is a half-plane bounded by a line that may be dashed or solid.

In contrast to a linear equation, which represents a line, a linear inequality represents a half-plane. The points on one side of the line, rather than the points on the line, are solutions to the inequality.

The method of shading is used to graph a linear inequality in two variables. First, graph the boundary line, which is usually represented by a solid or dashed line, and then select a test point on one side of the line. Shaded regions of the half-plane containing the test point satisfy the inequality.

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From  following equations option B  will produce the hyperbola graph shown in the figure

what is hyperbola ?

A hyperbola is a type of conic section, which is a curve that is formed by the intersection of a plane and a double cone. A hyperbola can also be defined as the set of all points in a plane, the difference of whose distances from two fixed points (called the foci) is a constant.

In the given question,

Based on the shape of the hyperbola shown on the y-axis graph, we can tell that the hyperbola has a vertical transverse axis, which means that its equation must have the form:

(y - k)² / a² - (x - h)²/ b² = 1

where (h, k) is the center of the hyperbola, a is the distance from the center to the vertices, and b is the distance from the center to the co-vertices.

Option A is not correct because it produces a hyperbola with a horizontal transverse axis, whereas the given graph has a hyperbola with a vertical transverse axis.

We can eliminate option D since its equation has a transverse axis that is not vertical.

Next, we can eliminate option A since the coefficient of x² is positive, which means that the transverse axis is horizontal.

Option C has a transverse axis that is also horizontal, so we can eliminate it as well.

That leaves us with option B, which has a vertical transverse axis and its equation fits the form we determined earlier. Therefore, the equation Y²/9 - x²/4=1 will produce the hyperbola shown on the y-axis graph

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The estimated population at t=0 for the new strain of bacteria is 85/7.

To determine the population at t=0 for the new strain of bacteria, we need to establish a relationship between time (t) and population. Given the two data points (3,10) and (10,5), we can use linear interpolation to estimate the population at t=0.

Using the formula for the equation of a straight line, y = mx + b, where y represents the population and x represents time, we can calculate the slope (m) and y-intercept (b) of the line connecting the two data points.

Let's first calculate the slope:

m = (y2 - y1) / (x2 - x1)

  = (5 - 10) / (10 - 3)

  = -5 / 7

Now, we can determine the y-intercept (b) using one of the data points. Let's use (3,10):

10 = (-5/7)(3) + b

10 = -15/7 + b

70/7 + 15/7 = b

b = 85/7

Now that we have the slope (m = -5/7) and the y-intercept (b = 85/7), we can substitute t=0 into the equation y = mx + b to find the population at t=0:

Population at t=0 (y) = (-5/7)(0) + (85/7)

                    = 0 + 85/7

                    = 85/7

Therefore, the estimated population at t=0 for the new strain of bacteria is 85/7.

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The standard deviation of this dataset isapproximately 76.88 rounded to one decimal place. To find the standard deviation of this dataset, we first need to find the mean:

\(Mean = (120 + 60 + 250 + 120 + 200) / 5 = 150\)

Next, we need to find the deviation of each data value from the mean:

120 - 150 = -30
60 - 150 = -90
250 - 150 = 100
120 - 150 = -30
200 - 150 = 50

We then square each deviation:

(-30)^2 = 900
(-90)^2 = 8100
100^2 = 10000
(-30)^2 = 900
50^2 = 2500

We then find the sum of the squared deviations:

900 + 8100 + 10000 + 900 + 2500 = 23600

Next, we divide the sum of squared deviations by the number of values minus 1:

\(23600 / 4 = 5900\)

Finally, we take the square root of this value to find the standard deviation:

sqrt(5900) = 76.81

Rounding to one decimal place, the standard deviation of this dataset is 76.8.

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Q1: To find the number of outcomes with exactly 3 heads in 8 coin flips, we can use the binomial coefficient formula: C(n, k) = n! / (k! * (n-k)!), where n is the total number of flips (8) and k is the desired number of heads (3). Using this formula, C(8, 3) = 8! / (3! * 5!) = 56. Therefore, there are 56 possible outcomes with exactly 3 heads in 8 coin flips.

Q2: To find the number of 6-letter strings containing exactly 2 vowels, we first choose the positions for the vowels and then the vowels and consonants themselves. We can choose 2 positions for the vowels from 6 positions using the binomial coefficient: C(6, 2) = 6! / (2! * 4!) = 15. Next, we have 5 choices for each vowel and 21 choices for each consonant. Therefore, there are 15 * (5^2) * (21^4) = 424,673,400 possible 6-letter strings with exactly 2 vowels.

To find the number of possible outcomes that contain exactly 3 heads out of 8 coin flips, we can use the binomial probability formula. The formula is: P(X=k) = (n choose k) * p^k * (1-p)^(n-k). where P(X=k) is the probability of getting k successes (in this case, 3 heads), n is the number of trials (coin flips), p is the probability of success (getting heads, which is 0.5 in this case), and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes out of n trials. To find the number of strings of 6 lowercase letters of the English alphabet that contain exactly 2 vowels, we can use the permutation formula. The formula is:   P(n,k) = n! / (n-k)!
where P(n,k) is the number of permutations of k objects from a set of n objects.

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Answer:

AB

Step-by-step explanation:

The diameter has to pass  through the center of the circle and tough the outside of the circle on both ends

The diameters are

DE and AB

They can also be written as

ED and BA

Answer:

option A :  AB

Step-by-step explanation:

The diameter is the length of the line through the center that touches two points on the edge of the circle.

Both AB and DE are diameters.

Therefore, Option A : AB