Someone please help me on this

Answer: (-35, 30)

Step-by-step explanation:

Since the scale factor is four, it denotes that it’s a positive dilation. The question is asking for 5 times the point. In other words, where would the point be if it was stretched out 5 times.

If you draw a line from the given to the QED, (-7, 6) to (-35, 30), then you’ll realize that the image is 5 times the original point.

K= (-7*5, 6*5)

Any number less than one means the point or shape is being compressed or made smaller.

The solution of the system of equations is (-4, 3).

Linear equations involve one or more expressions including variables and constants and the highest exponent of the variable is 1.

System of linear equations involve two or more linear equations.

Given are two linear equations.

y = -3/2 x - 3

y = 3/4 x + 6

The two equations are in slope intercept form.

The solution of the two equations is the intersection of the two lines.

Equate both the equations.

-3/2 x - 3 = 3/4 x + 6

-3/2 x - 3/4 x = 6 + 3

-9/4 x = 9

-x/4 = 1

x = -4

Substitute x = -4 in y = 3/4 x + 6.

y = -3 + 6 = 3

Hence the solution of the equations are x = -4 and y = 3.

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The measure of the central angle in the "Punk" section is 72 degrees.

The measure of the central angle in the "Punk" section can be determined by calculating the percentage of punk songs sold in relation to the total number of songs sold, and then converting that percentage to degrees.

To calculate the percentage of punk songs sold, divide the number of punk songs sold by the total number of songs sold, and multiply by 100.

For example, if 200 punk songs were sold and the total number of songs sold was 1000, the percentage of punk songs sold would be:

200/1000 * 100 = 20%

To convert this percentage to degrees, multiply the percentage by 360 (the total number of degrees in a circle).

20% * 360 = 72 degrees

Therefore, the measure of the central angle in the "Punk" section is 72 degrees.

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Answer:

Keith bought 14 gallons of paint, and each classroom requires 7/4 gallons of paint.

To find how many classrooms can be painted, we can divide the total amount of paint by the amount of paint needed per classroom:

14 ÷ (7/4) = 8

Therefore, Keith can paint 8 classrooms in total.

In the given triangle, using congruency, ∠JHI is congruent to ∠SJT.

What is Triangle ?

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.

In the given figure, we can see that there are two pairs of vertically opposite angles, which are opposite to each other at the intersection of two straight lines. These angles are:

According to the ASA Rule, triangles are congruent to one another if any two angles and the side between them are comparable to the corresponding angles and side. According to the AAS Rule, the triangle's angles and excluded side are equal in the same way.

In the given triangle, using congruency, ∠JHI is congruent to ∠SJT

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Answer:

12:44

12:16

12:08

12:32

12:28

Correct answer:

12:16

Step-by-step explanation:

Explanation:

The path traveled by the tip of the minute hand over the course of one hour is a circle of radius r=6. The circumference of that circle is

C=2πr=2π⋅6=12π.

The tip has traveled 10 inches since noon, so the fraction of the circle traveled is 1012π,

and the number of minutes that have expired since noon is 1012π⋅60≈16.

Therefore, to the nearest minute, the time is 12:16.

Answer:

Step-by-step explanation:23.80*34=809.20

If the length of the tile is x and the breadth of the tile is y then the area of each tile is equal to xy units.

Given that we can assume the length of tile be x and breadth of tile be y. We are required to find the area of the each tile and draw a figure showing the tile whose length is x and the breadth is y.

Tile is in the shape of the rectangle because the length and breadth are different and we know that the area of the rectangle is equal to product of the length and breadth of that rectangle.

If the length of tile is x and the breadth of tile is y then the area of the tile is equal to x*y which is xy units. Figure is attached with the solution.

Hence if the length of the tile is x and the breadth of the tile is y then the area of each tile is equal to xy units.

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Answer:

Step-by-step explanation:

You want the objective function, its maximum value, and the variable values that give that maximum based on the model shown in the graph.

The problem statement tells you the profit function is ...

  1.00x +1.50y . . . . . . objective function

Since the objective is to maximize profit, this is the objective function.

The integer values nearest the vertex of the feasible region farthest from the origin are (x, y) = (69, 70). These are the numbers of 'economy' and 'best' brushes that maximize the profit.

The maximum profit for these numbers of brushes will be ...

  p = x +1.5y = 69 +1.5(70) = 69 +105

  p = 174 . . . . maximum profit

The maximum profit of the situation is $174

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

Profit function = $1 for x and $1.50 for y

This means that the objective function is

P(x, y) = x +1.5y

Also, the graph is given where we have:

Optimal point, (x, y) = (69, 70)

Substitute these points in the profit function

So, we have

P(x, y) = 69 +1.5 * 70

Evaluate

P(x, y) = 174

Hence, the maximum profit is $174

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Answer:

y=3x+8

2y=6x+16

2(3x+8)=6x+16

6x+16=6x+16

Infinite Many Solutions

The series n=1∑[infinity]​(−1)n−13n+4ln(5n+2)​ is conditionally convergent.

To determine the convergence of a series, we can use the Alternating Series Test. This test states that if the absolute value of the terms in the series decrease to zero, then the series is convergent.

First, we need to find the absolute value of the terms in the series:

| (−1)n−13n+4ln(5n+2)​ | = | 3n+4ln(5n+2)​ |

Next, we need to determine if the absolute value of the terms decrease to zero. To do this, we can use the Limit Comparison Test. We will compare the series to the series 1/n:

lim n→∞ | 3n+4ln(5n+2)​ | / (1/n) = lim n→∞ | 3n^2+4nln(5n+2)​ |

Since the limit of the series is infinity, the series is divergent. However, since the series alternates between positive and negative terms, it is conditionally convergent.

Therefore, the series n=1∑[infinity]​(−1)n−13n+4ln(5n+2)​ is conditionally convergent.

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The irrational number between 5,25 and 5,26 is 2.5135145:

The irrational number between 5,25 and 5,26

2.5135145...

The number is non-terminating and non-recurring. Hence, it is an irrational number.

A real number that cannot be expressed as a simple fraction is called an irrational number.

It is impossible to express in terms of a ratio.

If N is irrational, it is not equal to p/q, where p and q are integers and q is not equal to 0.

Example: √2, √3, √5, √11, √21, π(Pi) are all irrational.

An irrational number is a real number that cannot be expressed as a fraction of two integers. In other words, it is a number that cannot be written as a simple fraction or a ratio of integers. Irrational numbers are decimal numbers that go on forever without repeating. Some famous examples of irrational numbers include pi (3.14159265...) and the square root of 2 (1.41421356...).

Irrational numbers have some interesting properties. For example, they are non-repeating and non-terminating, which means that their decimal expansions never repeat and never come to an end. This makes them difficult to work with, but also makes them important in mathematics and science. Irrational numbers are used in a variety of mathematical and scientific applications, including geometry, physics, and cryptography.

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Answer:

1011.00

Step-by-step explanation:

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The tabs can be completed in the following way:

1. Fraction for 25% = 25/100 = 5/20 = 1/4

2. 90 percent: Decimal 0.90: Fraction: 90/100 =9/10

3. 60 percent: Decimal 0.60: Fraction: 60/100 = 6/10 = 3/5

4. 35 percent: Decimal 0.35: Fraction: 35/100 = 7/20

5. 33 percent: Decimal 0.33: Fraction: 33/100

6. 65 percent: Decimal 0.65: Fraction: 65/100 = 13/20

A percentage is a value that is obtained as a fraction of the number 100. In the above question, we are given a list of values in percentages and told to convert them to decimal and fraction forms.

To do this, we need to divide the number 90 by 100 for the second expression and express this as a decimal. The resultant figure is 0.9. When converted to a fraction, the value now has a denominator and numerator.

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To create a graph and write an equation to represent the list of ordered pairs given, we need to plot each point on a coordinate system.

x | y

--|--

2 |-3

1 |-1

-1| 3

3 |-5

Plotting these points on a coordinate plane, we get:

![Graph of ordered pairs]

To write an equation to represent these ordered pairs in the form y = mx + b, we need to find the slope of the line and the y-intercept.

To find the slope:

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

Let's use the points (1, -1) and (3, -5) to find the slope:

m = (-5 - (-1)) / (3 - 1)

m = -4 / 2

m = -2

Now that we know the slope, we can use any point and the slope to find the y-intercept (b).

Using the point (1, -1):

y = mx + b

-1 = (-2)(1) + b

b = 1

So the equation that represents these ordered pairs in the form y = mx + b is:

y = -2x + 1

And the graph of this equation looks like:

![Graph of equation y = -2x + 1]

Answer:

a) [tex]\frac{2\pi }{3}[/tex]

b) 330

Work:

a) To convert degrees to radians you multiply by [tex]\frac{\pi }{180}[/tex]

[tex]\frac{120}{1}[/tex] x [tex]\frac{\pi }{180}[/tex]

= [tex]\frac{6}{1}[/tex] x [tex]\frac{\pi }{9}[/tex]

= [tex]\frac{2\pi }{3}[/tex]

b) To convert radians to degrees you multiply by [tex]\frac{180}{\pi }[/tex]

[tex]\frac{11\pi }{6}[/tex] x [tex]\frac{180}{\pi }[/tex]

= [tex]\frac{11}{1}[/tex] x [tex]\frac{30}{1}[/tex]

= 330

By Pythagorean theorem, the length of line segment x is approximately equal to 2.609 feet.

In this problem we find a geometric system where line segment x is perpendicular to the hypotenuse of a right triangle. This system can be represented well by Pythagorean theorem:

4.6² = (5.8 - y)² + x²

3.5² = x² + y²

First, eliminate variable x and solve for y:

4.6² = (5.8 - y)² + (3.5² - y²)

4.6² = 5.8² - 10.6 · y + y² + 3.5² - y²

4.6² = 5.8² - 10.6 · y + 3.5²

10.6 · y = 5.8² + 3.5² - 4.6²

y = 2.333

Second, determine variable x:

x = √(3.5² - 2.333²)

x = 2.609

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The polynomial 8x^(3) + 12x^(2) + 6x + 1 can be factored as (2x + 1)^(3) using Pascal's Triangle and the properties of binomial cubes.

To factor the given polynomial using Pascal's Triangle and the properties of binomial cubes, we need to first identify the coefficients of the polynomial and then use the pattern of Pascal's Triangle to find the factors. Here are the steps:

Step 1: Identify the coefficients of the polynomial. The coefficients are 8, 12, 6, and 1.

Step 2: Use the pattern of Pascal's Triangle to find the factors. The third row of Pascal's Triangle is 1, 3, 3, 1. We can use this pattern to factor the polynomial as follows:

8x^(3) + 12x^(2) + 6x + 1 = (2x + 1)^(3)

Step 3: Use the properties of binomial cubes to simplify the factors. The formula for the cube of a binomial is (a + b)^(3) = a^(3) + 3a^(2)b + 3ab^(2) + b^(3). We can use this formula to simplify the factors as follows:

(2x + 1)^(3) = (2x)^(3) + 3(2x)^(2)(1) + 3(2x)(1)^(2) + (1)^(3) = 8x^(3) + 12x^(2) + 6x + 1

Therefore, the factors of the polynomial are (2x + 1)^(3).

The polynomial 8x^(3) + 12x^(2) + 6x + 1 can be factored as (2x + 1)^(3) using Pascal's Triangle and the properties of binomial cubes.

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The functions involved in g(x) are multiply by 2 and subtract the value of 5.

A function takes in values, applies specific operations to them, and produces an output. The inverse function acts, agrees with the outcome, and returns to the initial function. The graph of the inverse of a function shows the function and the inverse of the function, which are both plotted on the line y = x. This graph's line traverses the origin and has a slope value of 1.

Given that, f(x) involves the following functions:

Divide by 2

Add 5

Also, g(x) is the inverse of the function of f(x) hence, the function involved are inverse of the original function.

Hence, the functions involved in g(x) are multiply by 2 and subtract the value of 5.

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The final answer is 8*2=16 ways

Eight people are to be seated in a row of 8 chairs. In how many ways can these people be seated if two of them insist on sitting next to one another?

There are a couple of steps to solving this problem.

Step 1: Consider the two people who insist on sitting next to one another as one unit. This means that there are now 7 units to be seated in the 8 chairs.

Step 2: Calculate the number of ways that the 7 units can be seated in the 8 chairs. This is done using the formula n!/(n-r)!, where n is the number of chairs and r is the number of units. In this case, n=8 and r=7, so the formula is 8!/(8-7)!, or 8!/1!, which simplifies to 8.

Step 3: Calculate the number of ways that the two people who insist on sitting next to one another can be seated within their unit. There are 2! or 2 ways that they can be seated.

Step 4: Multiply the number of ways that the 7 units can be seated in the 8 chairs by the number of ways that the two people can be seated within their unit. This gives us the total number of ways that the 8 people can be seated if two of them insist on sitting next to one another.

So the final answer is 8*2=16 ways.

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answer = c

its not a or b because the range starts at y = 2

The equation that has no real solution is 12x + 12 = 3(4x + 5), the correct option is (d).

To determine whether an equation has real solutions, we need to solve it and check whether the solutions are real numbers or not.

-5x - 25 - 5x + 25 = 0 simplifies to -10x = 0, which has the solution x = 0. This is a real number solution.

7x + 21 = 21 simplifies to 7x = 0, which has the solution x = 0. This is a real number solution.

12x + 15 = 12x - 15 simplifies to 15 = -15, which is false. This equation has no solution, but it doesn't have any variables left to solve for, so it's not an option for our answer.

12x + 12 = 3(4x + 5) simplifies to 12x + 12 = 12x + 15, which simplifies further to 12 = 15. This is false, which means the equation has no solutions. Therefore, this is the equation that has no real solution, the correct option is (d).

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The complete question is:

Select each equation that has no real solution

a. -5x- 25 - 5x + 25

b. 7x + 21 = 21

c. 12x + 15 = 12x - 15

d. 12x + 12 = 3(4x + 5)

The median, Q₁, Q₃, lower fence and upper fence of the given data set are 82, 75, 83, 63 and 95.

What is Inter quartile range?

In a range of values, from lowest to highest, the IQR denotes the median 50% of values. Find the median (middle value) of the lower and higher half of the data first, then use that number to calculate the interquartile range (IQR). The first quartile (Q1) and third quartile (Q3) of these values (Q3). What separates Q3 from Q1 is known as the IQR.

Given data set : 72, 81, 82, 83, 83, 85, 100, 54, 75, 81, 83

Firstly, we will arrange the data into ascending order.

we get, 54, 72, 75, 81, 81, 82, 83, 83, 83, 85, 100.

Here, no. of terms is 11

So, Median = (n+1)/2 th = (11+1)/2 = 6th term

So, Median = 82.

Q₁ = (n+1)/4 th term = (11+1)4 th = 3rd term

                                                 = 75

Q₃ = 3(n+1)/4 th term = 9th term = 83

Inter-quartile range = Q₃ - Q₁

                                  = 83 - 75 = 8.

Now, Lower fence = Q₁ - 1.5*IQR

                              = 75 - 1.5× 8

                              = 75 - 12 = 63

       Upper fence = Q₃ + 1.5*IQR

                              = 83 + 1.5×8

                              = 83 + 12

                              = 95.

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Dividing the fraction (x - 2) / (3x - 21) by (5x - 10) / (9x - 63) will result to 3/5.

To divide two fractions, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is simply the fraction flipped upside down. So, the reciprocal of the second equation (5x - 10) / (9x - 63) is (9x - 63) / (5x - 10). Now we can multiply the two fractions together to get the answer.

(x - 2) / (3x - 21) × (9x - 63) / (5x - 10)

= [(x - 2)(9x - 63)] / [(3x - 21)(5x - 10)]

Now we can simplify the numerator and denominator by factoring out the common factors:

= (9x - 63)(x - 2) / (3x - 21)(5x - 10)

= (3)(3x - 21)(x - 2) / (3x - 21)(5)(x - 2)

= 3/5

So, the final answer is 3/5.

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Answer:

Step-by-step explanation:

Ok so we're just going to be doing a lot of supplementary work:

The angle adjacent to 85 degrees is equal to 180 - 85 = 95

We want to find the angle measures in the triangle where 95 degrees is. We can do this by using 40, finding the opposite angle, which is also 40 due to vertical angles theorem, finding the missing angle in the right-most triangle which is 180 - 105 - 40 = 35

Using vertical angles theorem again, we know the angle opposite 35 degrees is also 35. We found another angle for the middle triangle.

The missing angle for the middle triangle is 180 - 35 - 95 = 50

The angle opposite 50 is 50 because of the vertical- you already know.

Now the left triangle has angles Z, 60 and 50.

m<Z = 180 - 60 - 50

m<Z = 70

Hope this helps!

The solutions to the equation are x = π/2 and x = 11π/6. We can write these as a list separated by commas:

X = π/2, 11π/6

To solve the equation 2 sin^2 (x) – sin(x) – 1=0 for all solutions 0 < x < 2π, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 2, b = -1, and c = -1. Plugging these values into the quadratic formula gives us:

x = (-(-1) ± √((-1)^2 - 4(2)(-1))) / (2(2))

Simplifying the expression inside the square root gives us:

x = (1 ± √(1 + 8)) / 4

x = (1 ± √9) / 4

x = (1 ± 3) / 4

This gives us two possible values for x:

x = (1 + 3) / 4 = 1

x = (1 - 3) / 4 = -0.5

Now we need to find the values of x that satisfy the original equation and are within the given range of 0 < x < 2π. To do this, we can use the inverse sine function:

x = sin^-1(1) = π/2

x = sin^-1(-0.5) = -π/6

Since we are looking for solutions within the range of 0 < x < 2π, we need to add 2π to the nagetive solution to get a positive value:

x = -π/6 + 2π = 11π/6

Therefore, the solutions to the equation are x = π/2 and x = 11π/6. We can write these as a list separated by commas:

X = π/2, 11π/6

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Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

Question: Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____

Current Progress: To express the given vector as a linear combination of u, v, and w, we need to find scalars a, b, and c such that (14, 9, 14) = a*u + b*v + c*w.

Step 1: Write the equation in component form:
(14, 9, 14) = (3a + b + 8c, a - b + 3c, 6a + 4b + 8c)

Step 2: Equate the corresponding components and solve for a, b, and c:
3a + b + 8c = 14
a - b + 3c = 9
6a + 4b + 8c = 14

Step 3: Solve the system of equations using any method (substitution, elimination, etc.). One possible solution is a = 1, b = -1, and c = 3.

Step 4: Plug the values of a, b, and c back into the linear combination equation:
(14, 9, 14) = 1*u + (-1)*v + 3*w

Step 5: Simplify the equation:
(14, 9, 14) = u - v + 3w

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

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Two functions as cos (5x/6 - 4x/9) - cos (5x/6 + 4x/9)

We can rewrite the product using a sum or difference of two functions as follows:2 sin (2x/3) sin (5x/6)In order to rewrite the product using a sum or difference of two functions, we can use the following formula:2 sin A sin B = cos (A - B) - cos (A + B)Where A and B are two angles or expressions that contain an angle.So, 2 sin (2x/3) sin (5x/6) can be written as follows:2 sin (2x/3) sin (5x/6) = cos [(5x/6) - (2x/3)] - cos [(5x/6) + (2x/3)]On simplifying the above expression, we get2 sin (2x/3) sin (5x/6) = cos [(5x/6 - 4x/9)] - cos [(5x/6 + 4x/9)]= cos (5x/6 - 4x/9) - cos (5x/6 + 4x/9)Therefore, 2 sin (2x/3) sin (5x/6) can be rewritten using a sum or difference of two functions as cos (5x/6 - 4x/9) - cos (5x/6 + 4x/9).

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a)1.746

b)0.119

To compare the null hypothesis that the population mean of the increase in sales is at least 50 units against the observed mean of 41.3 units, we will use both the critical value approach and the p-value approach.

For the critical value approach, we need to use the standard deviation of 12.2 units as well as the sample size of 20 supermarkets. This gives us a critical value of 1.746. As the observed mean (41.3 units) is less than 1.746 standard deviations away from the mean of 50 units, we can conclude that the null hypothesis cannot be rejected at the 5% level of significance.

For the p-value approach, we will use the same sample size and standard deviation. This gives us a p-value of 0.119, which is greater than the 5% level of significance. Thus, we can also conclude that the null hypothesis cannot be rejected at the 5% level of significance.

It is important to note that we are assuming that the data is normally distributed, and that there is no bias in the sample.

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Answer: To check if (3x + 2) is a factor of a trinomial, we can use long division or synthetic division. However, we can also use the factor theorem, which states that if f(c) = 0 for a polynomial f(x) and a constant c, then (x - c) is a factor of f(x).

In this case, we can use the factor theorem with c = -2/3 to check if (3x + 2) is a factor:

f(-2/3) = 0 if and only if 3(-2/3) + 2 = 0, which is true. Therefore, (3x + 2) is a factor of f(x) if and only if f(-2/3) = 0.

Using this method, we can check each trinomial:

6x² +19x+10: f(-2/3) = 0. Therefore, (3x + 2) is a factor of 6x² +19x+10.

6x²-x-2: f(-2/3) = 0. Therefore, (3x + 2) is a factor of 6x²-x-2.

6x² +7x-3: f(-2/3) ≠ 0. Therefore, (3x + 2) is not a factor of 6x² +7x-3.

6х2 - 5x - 6: f(-2/3) ≠ 0. Therefore, (3x + 2) is not a factor of 6х2 - 5x - 6.

12x²-x-6: f(-2/3) ≠ 0. Therefore, (3x + 2) is not a factor of 12x²-x-6.

Therefore, the trinomials that have (3x + 2) as a factor are:

6x² +19x+10

6x²-x-2

Note: We could also use long division or synthetic division to confirm our results.

Step-by-step explanation: