Liz is watching a film at the cinema. The film started at 14 30. The film is 105 minutes long. When the film ends, Liz takes 20 minutes to get to the bus stop. Does Liz get to the bus stop in time to get this bus? You must show all your working

Answer:

126

Step-by-step explanation

Nolan would expect to earn $157 in a day when he waits in 12 tables.

Now, According to the question:

We have the following information:

Each day Nolan works, Nolan will make a guaranteed wage of $25, however the additional amount that Nolan earns from tips depends on the number of tables he waits on that day. From past experience, Nolan noticed that he will get about $11 in tips for each table he waits on.

Now, for waiting on 12 tables, he will get the fixed amount of 25 dollars and the amount for 12 tables.

So, the total amount will be:

25+11 × 12

$157

Hence, Nolan would expect to earn $157 in a day when he waits in 12 tables.

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To determine the number of solutions in a linear system without solving it, check their slopes. If the slopes are different, there is one solution; if the slopes are the same but the equations are different, there is no solution; if the equations are exactly the same, the solutions are infinite.

The 3  possible solutions of a system of equations are:

- Unique or one solution

- Infinite solutions

- No solution

In case of   a system of linear equations, we can determine the type of its solution as follows:

- If the slopes are different, then their graphs will intercept in one point. Hence, the system of linear equations will have one solution.

Example:

y = -3x - 2

5x + 2y = 15

The slopes of the line equations are different, hence the solution is unique

-  If the slopes are the same but the equation of the lines are different, the lines are parallel, hence they will not intercept. Therefore, there is no solution.

Example:

2x + 2y = 8

y = -x -5

These are parallel lines, hence, there is no solution

- If the linear equations are exactly (or can be transformed to exactly) the same equations, the solution is infinite.

Example:

2x + 2y = 8

4x = -4y + 16

Those two equations are exactly the same. Hence, the solutions are infinite.

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Answer:

Step-by-step explanation:

Aubrey's Pie Shop recently sold [tex]20[/tex] pies in total, [tex]6[/tex] of them being cherry pies, so the experimental probability is [tex]\dfrac{6}{20} = \dfrac{3}{10} = 30\%[/tex] chance of the next one being a cherry pie.

In a right triangle with sides a and b and c where c is the hypotenuse, then the cosine of angle A is the ratio of Adjacent side to the angle A and Hypotenuse of triangle.

In the given question, in a right triangle with sides a and b and c where c is the hypotenuse, then we have to find the cosine of angle A.

A right triangle is a triangle with one of the internal angles at 90 degrees. The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.

The cosine of angle A is the ratio of Adjacent side to the angle A and Hypotenuse of triangle.

Cosine of angle A = Adjacent side to the angle A/Side adjacent to the angle A

Cosine of angle A = b/c

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Answer:

i wish i could help im sorry

Step-by-step explanation:

im

not

ok

The sine function becomes, [tex]y = 4sin(\frac{\pi }{2}x) + 1[/tex].

What is sine function?

The trigonometric functions in mathematics are real functions that relate the right-angled triangle's angle to the ratios of its two side lengths. They are extensively used in all fields of geometry-related science, including geodesy, solid mechanics, celestial mechanics, and many others.

The general sine function is

[tex]y = Asin(b(x+c)+D[/tex]

Where

Amplitude = A

Period = [tex]\frac{2\pi }{B}[/tex]

Phase shift = c

Vertical shift = D

Given:

A = 4 (amplitude)

[tex]\frac{2\pi }{B} = 4[/tex]  (period)

[tex]B = \frac{\pi }{2}[/tex]

Since midline: y = 1

And we know that graph of [tex]4sin(\frac{\pi }{2}x)[/tex], midline to be y = 1.

It must have vertical shift D = 1.

Since, y - intercept (0, 1)

⇒ x = 0, y = 1

⇒ It has no phase shift  ⇒ c = 0

Since it satisfy [tex]y = 4sin(\frac{\pi }{2}(x+c))+D[/tex]

The graph of the sine function is attached below.

Hence, the sine function becomes, [tex]y = 4sin(\frac{\pi }{2}x) + 1[/tex].

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b because you are dividing

Answer: D (3:7)

Step-by-step explanation:

You need to simplify the 56:24 until fully simplified (using the highest common factor). Flip this so it is instead surfboards to umbrellas rather than umbrellas to surfboards.

56/8 = 7
24/8 = 3

In either the Hay Bale Toss or Pie Eating Contest, the graph's range of 0-19 will be extended by 20.

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices.

In either the Hay Bale Toss or Pie Eating Contest, the graph's range of 0-19 will be extended by 20. 20 students attended the fair, total. Group age = 0 to 16

This age range is located in the histogram's first interval, which is 0–19. The graph for the pie eating competition would remain the same if all 20 pupils had participated in the hay bale toss, with the bar representing 0–19 rising from 40 to 60.

The graph of the Hay Bale Toss would remain same if all 20 pupils had participated in the Pie Eating Contest, increasing the bar of 0-19 from 20 to 40.

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Using combination, 5184 nine-digit numbers can be made using each of the digits 1 through 9 exactly once with the digits alternating between odd and even.

An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are arranged in a linear or sequential order. For instance, the set A=1,6 has a permutation of 2, which is 1,6,1. There is no other way to arrange the components of set A, as you can see.

If the first letter is even, there are 4 first digit possibilities (not 5 because it can't start with 0), 4 third digit possibilities, 3 fifth digit possibilities, etc., making the total 4!

If an odd number is the first letter, there will be 5!*4! different ones.

Add the two together now.

4*4!*4! + 5!*4!=5184

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The perimeter of a square is given as 24x + 20 and can be written as 4 ×(5x+6) and  2 × (10x+12).

The perimeter of a square is the sum of all of the 4 sides of the square. Here, the perimeter of the square is given as the function of x, for finding the length of each side of the square.

Here, in the given problem,  we can factorize the expression 20x+24 as, 4 ×(5x+6) so this is the 1st different way of writing the given expression. For another expression, we can take 2 commons from 20 x+24 that will be 2 × (10x+12).

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Inversely proportional graphs are reciprocal graphs consisting of one smooth curve in the first quadrant only.

When one quantity grows, the other quantity decreases, and vice versa, this is known as an inverse proportion. Indirect proportion is another name for inverse proportion.

Consider a task like painting a fence as an illustration. The amount of time it takes to complete the task lowers as the number of employees rises. The amount of time it takes to complete the task grows as the number of workers reduces.

If y  is inversely proportional to x then we write y = 1/x

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Answer:

Least to greatest.

Persian, Maine Coon, and American Shorthair

The probabilities are given as follows:

The mass probability formula, giving the probability of x successes, is of:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are given by:

The parameter values for this problem are given as follows:

Hence the probability of one senior having the birthday on the same day as the graduation is of:

P(X = 1) = 68 x 1/365 x (364/365)^67 = 0.1550.

The probability of more than one is given as follows:

P(X > 1) = 1 - P(X <= 1).

In which:

P(X <= 1) = P(X = 0) + P(X = 1)

Hence:

Finally:

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It is both of the pair of intersecting lines and degenerate hyperbola.

A conic section, conic or quadratic curve is a curve formed by the surface of a cone crossing a plane. The hyperbola, parabola, and ellipse are the three forms of conic sections; the circle is a special case of the ellipse, however it was frequently referred to as a fourth type. Parabolas, ellipses, circles, and hyperbolas are the four main forms of conics. Examine the diagrams below to discover how a conic is defined geometrically. The plane does not travel through the vertex of a non-degenerate conic.

Here,

It consists of a pair of intersecting lines as well as a degenerate hyperbola.

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50-50-80 is a Isosceles acute triangle.

An isosceles acute triangle is a triangle in which all three angles are less than 90°, and at least two of its angles are equal in measurement. One example of the angles of an isosceles acute triangle is 50°, 50°, and 80°.

Properties of Isosceles Acute Triangle

It is easy to point to an isosceles acute triangle if we know its properties. The properties of the isosceles acute triangle are noted below:

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The fraction of the teacups that are either indigo or orange is 7/12.

A fraction refers to a part of a whole number.  It is a proportional value.

A fraction is a quotient that results from a division operation when the numerator is divided by the denominator.

In a proper fraction, the numerator is smaller than the denominator.  This is not the case with improper fractions where the numerator is larger than the denominator.

There are complex, proper, and improper fractions.

The fraction of teacups that are indigo = 1/3

The fraction of teacups that are orange = 1/4

The fraction that are either indigo or orange = 7/12 (1/3 + 1/4)

Thus, the fraction or proportion of the Tea Shop's teacups that are either indigo or orange is 7/12.

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The major part of problem solving skill are explained below.

In order to find the ways, we must know the definition of problem solving.

The term problem solving is defined as the act of defining a problem; determining the cause of the problem identifying, prioritizing, and selecting alternatives for a solution and implementing a solution.

Therefore, the major skills included in the problem solving are defined as

=> identifying the problem,

=> analyzing possible solutions, and

=> deciding on the best course of action

Basically, this skill is important because it enables us to identify and exploit opportunities in the environment and exert control over the future.

Other that that problem solving skills and the problem-solving process are a critical part of daily life both as individuals and organizations.

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When reflected in the y-axis, the image of the point (2/3) is (-2/3).

The sign of the x coordinate changes when a point is mirrored on the y-axis.

When a figure is built around a single point known as the point of reflection or the figure's centre, a reflection point results. There is an exact opposite point on the other side of each point in the figure. The shape and dimensions of the figure remain unchanged underneath the point of reflection.

The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse. Point (x, y) is reflected across the y-axis as (-x, y).

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None of the listed methods are used for enumerating sample points in a multiple-step experiment. So, option D is the correct answer.

Graphical methods are important mathematical tools that are very helpful when it comes to managing a vast amount of data. These also help when we need to visually represent data. These methods help quite a lot since they make it easier to keep track of data and understand it as well.

A bar chart and a histogram are similar tools that are used to represent data by plotting them as rectangular bars. These can be either vertical or horizontal. A pie chart is also a tool that uses a shape for data visualization. In its case, it represents data in the shape of a circle and all categories/data sets have their slices. So, this means that these three are not methods that can be used for enumerating sample points in a multiple-step experiment. Hence, option D is the correct option.

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The probability of Johnny not getting a job offer from either company is 0.8

Suppose Johnny applied for a job at companies A and B.

Through extensive research, Johnny determined he has a 60% chance of getting a job offer from company A,

A = 0.6

a 50% chance of getting a job offer from company B,

B = 0.5

and a 30% chance of getting a job offer from both companies A and B.

What is the probability of Johnny not getting a job offer from either company?

Suppose, probability of an event  A occurring is P(A)

and that of is B IS P(B)

P(A) = 0.6

and

P(B)= 0.5

probability of either  or P(AUB)=0.3

Now we need to find the probability of neither  nor, which is

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∩B)  = P(A) + P(B) -P(A∪B)

             = 0.6 + 0.5 - 0.3

            = 0.8

Now the events are mutually exclusive, so

Therefore, the probability of neither  nor  is 0.8

The probability of Johnny not getting a job offer from either company is 0.8

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The answer is that space contains at least four points that are not coplanar or not all coplanar.

Axioms are statements or propositions taken to be established, accepted, or self-evident truths. In other words, a statement or mathematical statement that serves as a starting point from which other statements are logically derived. This is formulated in Hypothesis 1 as follows:

A plane contains at least three points that are not all on a straight line. Space contains at least four points that are not all in one plane. "

Simply put,

"There is at least one plane for every three points. There is exactly one plane for every three non-collinear points."

"There are at least 3 points in the plane that are not co-linear. There are at least 4 points in space that are not co-planar."

Not collinear:

Not all lined up.

Not coplanar:

do not occupy the same area or rectilinear plane

An axiom of Euclidean geometry states that there are at least four points in space that are not in the same plane.

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Therefore , the solution of the given problem of algorithm comes out to be the halting problem can be demonstrated to be indecidable and so unsolvable.

A method for performing calculations or solving problems is known as an algorithm. Algorithms act as a thorough set of instructions that step-by-step direct hardware- or software-based processes through a series of planned activities. In every aspect of IT area, algorithms are utilized regularly.

Here,

The halting problem is one of the most popular unsolved issues. It poses the following inquiry:

Does M halt when it is given the input w for an arbitrary Turing machine over the parameters alphabet = a, b and an arbitrary string w over

 The halting problem can be demonstrated to be indecidable and so unsolvable.

Therefore , the solution of the given problem of algorithm comes out to be the halting problem can be demonstrated to be indecidable and so unsolvable.

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In 35 differnt ways (Combination) the 4 players can be selected from a team of 7.

Combinations are decisions that are made by choosing some or all of a group of things, regardless of how they are arranged.

Utilizing the combinations formula, it is simple to determine how many distinct groups of r items each may be created from the provided n unique objects. The factorial of n divided by the product of the factorial of r and the factorial of the difference between n and r, respectively, is the formula for combinations.

A permutation is a combination and an ordered arrangement of possible outcomes. For instance, there are 5 chairs, and 3 people should occupy them. There are five different methods to seat the first person, four ways to sit the person after them, and three ways to seat the third. In order to determine the number of configurations for seating 3 people in 5 seats, we thus multiply the alternatives at our disposal.

Permutations are several ways to arrange things in a certain sequence. It may alternatively be stated as the linear reordering of elements in an already ordered collection.

Here we have to select 4 people from a team of 7, so its a combination

So the number of ways are = [tex]\x^{7}C\x_{4} = \frac{7!}{4!\ 3!} = 35[/tex].

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Answer:

122.5 pounds.

Step-by-step explanation:

f = kaw^2

So, k = f/aw^2

From the given data:

k = 64.8/(500*18)

  = 0.0004

When a = 250 and w = 35:

f = 0.0004*250*35^2

 = 122.5

Your answer should be B. Each time, t, is associated with precisely one car value, y.

The real roots of the equation x^(2/3) + x^(1/3) - 2 = 0 are 1 and -8.

The equation x^(2/3) + x^(1/3) - 2 = 0 does not have any real roots. Since the exponents are not integers, x^(2/3) and x^(1/3) are not defined for negative values of x, and so the equation has no solutions for real values of x.

But,

Let y = x^(1/3)

The equation x^(2/3) + x^(1/3) - 2 = 0 will become y² + y - 2 = 0.

Solving for the roots of this equation,

y² + y - 2 = 0

(y + 2)(y - 1) = 0

y = -2   ;   y = 1

Substitute the value of y and solve for x.

y = x^(1/3)

-2 = x^(1/3)   ;   1 = x^(1/3)

x = -8   ;   x = 1

Therefore, the real roots of the equation is 1 and -8.

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Answer:

Only sometimes true

Step-by-step explanation:

Now, I'm going to go out on a whim here, since your equation writing isn't the best, but I will assume that the equation is:

x = x/3 * 3x

Now, to simplify this equation, we will multiply both sides by 3, giving us:

3x = x * 3x

Then, simplify the left side:

3x = [tex]3x^{2}[/tex]

Divide by 3 gives us:

[tex]x = x^{2}[/tex]

Now, this is only true in two cases. When x is 1, and when x is 0. So, that equation is only sometimes true.

Hope this helped!

The solution to the polynomial is x = -1, x = 1/2 and x = -1

From the question, we have the following parameters that can be used in our computation:

2x³ - x² - 2x + 1

Expand

2x³ - x² - 2x + 1 = 2x³ - x² - 2x + 1

Factorize the expression

This gives

2x³ - x² - 2x + 1 = x²(2x - 1) - 1(2x - 1)

Factor out 2x - 1

2x³ - x² - 2x + 1 = (x² - 1)(2x - 1)

Express x² - 1 as difference of two squares

2x³ - x² - 2x + 1 = (x - 1)(x + 1)(2x - 1)

So, we have

(x - 1)(x + 1)(2x - 1) = 0

Solve for x

x = 1, x = -1 and x = 1/2

Reorder the solutions

x = -1, x = 1/2 and x = -1

Hence, the solution is x = -1, x = 1/2 and x = -1

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The amount made in commission is $67.5.

The amount made in sales by the store is $682.5.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Amount sold last week = $750.

Commission = 9%

The amount of commission.

= 9/100 x 750

= $67.5

The sales made last week by the store.

= 750 - 67.5

= $682.5

Thus,

$67.5 was made in commission.

$682.5 was made from sales.

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