PLS HELP DUE TODAY

LOOK AT SS

PLS HELP DUE TODAY LOOK AT SS
PLS HELP DUE TODAY LOOK AT SS
PLS HELP DUE TODAY LOOK AT SS
PLS HELP DUE TODAY LOOK AT SS
PLS HELP DUE TODAY LOOK AT SS

Answers

Answer 1

This means that the line represented by f(x-3) has been shifted down by 39 units compared to the line represented by f(x).

what is Y intercepted?

In mathematics, the term "Y-intercept" refers to the point at which a graph or line intersects the y-axis. It is the value of the dependent variable (usually represented by "y") when the independent variable (usually represented by "x") is equal to zero.

For example, the equation of a straight line can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept is the value of y when x is equal to zero.

So, if the equation of a line is y = 2x + 5, then the y-intercept is 5, because this is the value of y when x is equal to zero.

To simplify f(x-3), we need to substitute x-3 for x in the expression for f(x):

[tex]f(x-3) = 10(x-3) - 9[/tex]

Expanding the multiplication and simplifying, we get:

[tex]f(x-3) = 10x - 30 - 9[/tex]

[tex]Therefore, f(x-3) = 10x - 39.[/tex]

To determine the slope, we can compare this expression to the standard form of a linear equation, y = mx + b, where m is the slope. We can see that the coefficient of x in the simplified expression is 10, so the slope is 10. This means that the line represented by f(x-3) is steeper than the line represented by f(x).

To determine the y-intercept, we can look at the constant term in the expression. In this case, the constant term is -39. This means that the line represented by f(x-3) has been shifted down by 39 units compared to the line represented by f(x).

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Related Questions

Selling price=7950and gain =6% what is the cost price

Answers

The seller purchased the product at a cost of 7500 and sold it for 7950, which resulted in a gain of 6%. So, the cost price is 7500.

In business, it is essential to keep track of cost prices and profit margins to ensure profitability. If the selling price is 7950 and the gain is 6%, we can use the following formula to calculate the cost price:

Cost price = Selling price / (1 + Gain%)

Substituting the given values, we get:

Cost price = 7950 / (1 + 0.06)

Cost price = 7500

Therefore, the cost price of the product is 7500, the gain percentage is calculated based on the cost price and not the selling price.

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Terrell is a dog trainer. He charges $75 for each training session plus $1.45 per mile that he must drive to and from the session. Write an expression to represent this situation. Explain your answer.
(in the expression let x represent the number of miles.)​

Answers

The expression 75 + 1.45x represents the total cost of a training session with Terrell

The expression to represent this situation

Let x be the distance (in miles) that Terrell must drive to and from the training session.

Then the total cost C of the training session, in dollars, can be expressed as:

C = 75 + 1.45x

The first term, 75, represents the base fee that Terrell charges for each training session. The second term, 1.45x, represents the additional cost that Terrell incurs due to the distance he has to drive. This second term is calculated by multiplying the distance x by the rate of $1.45 per mile.

Therefore, the expression 75 + 1.45x represents the total cost of a training session with Terrell, including both the base fee and the additional cost for driving.

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on a control chart, what separates common from assignable causes of variation? a. specification limits b. mean divided by standard deviation c. control limits d. production limits e. x-bar lines

Answers

On a control chart, Control limits separates common from assignable causes of variation option C.

Shewhart charts, after Walter A. Shewhart, are another name for control charts. It is a statistical process control tool that aids in tracking process advancements over time. For instance, hospital management decides to utilise a solution technique in order to shorten the time required to admit a patient.

The process flow diagram for how patients are admitted to the hospital is first created. The average amount of time it takes to admit a patient each day is then measured. Lastly, plot the process variables across time on a control chart.

This control chart's goals are to identify any "special" reasons of variation as well as to document any process improvements.

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9 3/4, 10 1/2, 9 1/4, 10 1/4, 11, 10 1/4, 9 1/2 make a line plot that displays the lengths of the books on the bottom shelf

Answers

The line-plot of the the given data 9 3/4, 10 1/2, 9 1/4, 10 1/4, 11, 10 1/4, 9 1/2 that displays the lengths of the books on the booom shelf is attached.

What is line plot?

A line plot is a type of graph that represents the kind of data representation. It is line plot or a line chart shows the data in a visual form or visual representation. The graph is plotted with help of straight lines and points or dots. The x-axis is represented by straight lines or the it is labelled about the data. The y-axis is represented by the dots or frequency of the data. It is generally used to represent the small data set. This graph uses symbols to show or represent the frequency of the observations.

The data represented here is 9 3/4, 10 1/2, 9 1/4, 10 1/4, 11, 10 1/4, 9 1/2

we can make the frequency table using the above values, after which it can be plotted on the line-plot graph.

1-9 1/4--1 dot

2-9 1/2--1 dot

3-9 1/2--1 dot

4-10 1/4-2 dots

5-10 1/2--1 dot

6-11--1 dot

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Attached is a line-plot of the given data showing the lengths of the books on the book shelf: 9 3/4, 10 1/2, 9 1/4, 10 1/4, 11, 10 1/4, and 9 1/2.

What is line plot?

An example of a graph that shows this sort of data representation is a line plot. The data is presented visually in the form of a line plot or a line chart. With the aid of straight lines, points, or dots, the graph is drawn. Straight lines or labels that describe the data are used to depict the x-axis. The dots or frequency of the data are used to depict the y-axis. It often serves as a representation for a tiny group of data. The frequency of the observations is shown or represented by symbols on this graph.

9 3/4, 10 1/2, 9 1/4, 10 1/4, 11, 10 1/4, and 9 1/2 are the numbers shown.

Using the aforementioned variables, we can create the frequency table, which can then be plotted on the line-plot graph.

1-9 1/4--1 dot

2-9 1/2--1 dot

3-9 1/2--1 dot

4-10 1/4-2 dots

5-10 1/2--1 dot

6-11--1 dot

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if we take a simple random sample from a normal distribution, the probability that the sample mean is equal to the population mean is 1 (i.e., 100%). radio button unchecked false radio button unchecked true submit

Answers

The given statement "if we take a simple random sample from a normal distribution, the probability that the sample mean is equal to the population mean is 1 (i.e., 100%)" is false.

The probability that a sample mean is equal to the population mean is actually zero, since any given sample will differ slightly from the population mean due to sampling error. However, as the sample size increases, the sample mean is likely to be close to the population mean, and the probability of it being equal approaches 1 (i.e., 100%).

To explain further, the population mean is the mean of the entire population and is calculated by adding up all the values of the population and dividing them by the total number of individuals in the population. A sample mean, on the other hand, is the mean of a sample taken from the population and can be calculated by adding up the values of the sample and dividing them by the total number of individuals in the sample. Since the sample size is usually smaller than the population size, the sample mean is likely to be slightly different from the population mean due to sampling error.

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the time to fly between new york city and chicago is uniformly distributed with a minimum of 50 minutes and a maximum of 100 minutes. what is the probability that a flight is less than 64 minutes

Answers

The probability that a flight between New York City and Chicago is less than 64 minutes is 0.28, or 28%.

Since the time to fly between New York City and Chicago is uniformly distributed between 50 and 100 minutes, we can use the formula for the uniform probability density function (PDF) to find the probability that a flight is less than 64 minutes:

f(x) = 1 / (b - a), for a ≤ x ≤ b

where a = 50 and b = 100 are the minimum and maximum times, respectively.

To find the probability that a flight is less than 64 minutes, we need to integrate the PDF from a to 64:

P(X < 64) = [tex]\int\limits^{64}_{50}[/tex] f(x) dx = [tex]\int\limits^{64}_{50}\\[/tex](1 / 50) dx = (1 / 50) * [x]|₅₀ ⁶⁴

= (1 / 50) * (64 - 50) = 0.28

This means that approximately 28% of flights will arrive in less than 64 minutes.

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Simplify the following: 2(√12 + 2√3)

Answers

Answer:

[tex]2 \sqrt{2(6 + \sqrt{3} )} [/tex]

Step-by-step explanation:

There's your answer.

g in a study, the sample is chosen by separating all cars by size, and selecting 10 of each size grouping what is the sampling method?

Answers

The sampling method used in the study where the sample is chosen by separating all cars by size, and selecting 10 of each size grouping is known as stratified random sampling.

Stratified random sampling is a method of sampling that involves dividing the population into smaller sub-groups known as strata. In this method, each stratum is composed of elements that have similar characteristics.

The strata could be based on demographic characteristics such as age, sex, education, and so on. Once the strata have been created, the next step is to select a sample from each of the strata to make up the final sample. The selection is done randomly, and the number of elements selected from each stratum is proportional to the size of the stratum. This ensures that the sample is representative of the entire population in terms of the different characteristics of the population.

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Solve the equation by completing the square.
x^2−12x+35=0
After completing the square, the equation is _____, and the solution is x=5,x=7

Answers

Answer:

x:5,x:7

x^2-12x+35

x^2-12x=-35

x^2-12x+6^2=-35+36

(x+6)^2=1

insert a radical anywhere

x+6=1

x=1-6

x=-5. x=5

x=-1-6

x=-7. x=7

Jason worked for 14/3 hours on Monday, and his friends Sheldon worked for 25/6 hours.How many more hours did Jason work than Sheldon?

Answers

Answer:

Step-by-step explanation:

To find out how many more hours Jason worked than Sheldon, we need to subtract the number of hours Sheldon worked from the number of hours Jason worked:

Jason's hours = 14/3

Sheldon's hours = 25/6

Jason's hours - Sheldon's hours = (14/3) - (25/6)

To subtract fractions, we need to have a common denominator, which in this case would be 6:

(14/3) - (25/6) = (28/6) - (25/6) = 3/6

Simplifying the result, we get:

3/6 = 1/2

Therefore, Jason worked 1/2 more hours than Sheldon.

Jason worked 1/3 more hours than Sheldon.

To find out how many more hours Jason worked than Sheldon, we need to subtract the number of hours Sheldon worked from the number of hours Jason worked.

Jason worked for 14/3 hours, which can be simplified to 4 and 2/3 hours. Sheldon worked for 25/6 hours, which can be simplified to 4 and 1/6 hours.

Subtracting the hours Sheldon worked from the hours Jason worked, we get: 4 and 2/3 - 4 and 1/6 = 2/3 - 1/6 = 1/3.

Therefore, Jason worked 1/3 more hours than Sheldon.

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PLEASE HELP THIS IS DUE TODAY

Answers

Answer:

13 - The first option

11 - (x+1)

16 - first option

Step-by-step explanation:

You are given 0.10 g samples of Na, Y. Go, and Mn. List the samples in order of the amount (moles) from smallest to largest OY

Answers

Therefore, the order of the samples from smallest to largest amount (moles) of OY is: Go, Y, Na, Mn.

In order to list the samples in order of the amount (moles) from smallest to largest OY, we need to calculate the number of moles of each element. Let's start with the given samples:Na -[tex]0.10 gY - 0.10 gGo - 0.10 gMn - 0.10 g[/tex]

Now, let's find the number of moles of each element:Na: The molar mass of Na is 22.99 g/mol.Number of moles of Na = mass of Na/molar mass of Na= 0.10 g/22.99 g/mol= 0.00435 molY: The molar mass of Y is 88.91 g/mol.Number of moles of Y = mass of Y/molar mass of Y= 0.10 g/88.91 g/mol= 0.00112 molGo: The molar mass of Go is 118.71 g/mol.Number of moles of Go = mass of Go/molar mass of Go= 0.10 g/118.71 g/mol= 0.00084 molMn: The molar mass of Mn is 54.94 g/mol.

Number of moles of Mn = mass of Mn/molar mass of Mn= 0.10 g/54.94 g/mol= 0.00182 molNow, we can list the samples in order of the amount (moles) from smallest to largest OY:Go (0.00084 mol) < Y (0.00112 mol) < Na (0.00435 mol) < Mn (0.00182 mol)

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Find the length of the hypotenuse
on a right triangle with legs of 12
inches and 10 inches.

Answers

Answer:

[tex]2 \sqrt{61} \: in[/tex]

Step-by-step explanation:

Use the Pythagorean theorem (assume, that the length of hypotenuse is x):

[tex] {x}^{2} = {10}^{2} + {12}^{2} = 100 + 144 = 244[/tex]

[tex]x > 0[/tex]

[tex]x = \sqrt{244} = 2 \sqrt{61} [/tex]

Ian went to dinner last night and remembers leaving a 6.50 tip. The tip was 20% of the cost of dinner. What was the cost of dinner before tip?

Answers

Answer:

$32.50

Step-by-step explanation:

20% * y = 6.5 =>

y =6.5 ÷ 20% =

6.5 ÷ (20 ÷ 100) =

(100 × 6.5) ÷ 20 =

650 ÷ 20 =

32.5

Percentage of 20% of what number = 6.5?

20% × ? = 6.5

20% of 32.5 = 6.5

The image shows a circular pizza cutter that has a diameter of 8 centimeters

Answers

The pizza would be covered by approximately 100.48 centimeters of the pizza cutter if it is rotated exactly 4 times.

Calculating the cover of the pizza

The circumference of a circle can be calculated using the formula:

circumference = π x diameter

where π is approximately equal to 3.14.

Given that the diameter of the pizza cutter is 8 centimeters, we can calculate its circumference as:

circumference = π x diameter

circumference = 3.14 x 8

circumference = 25.12 centimeters

If the pizza cutter is rotated exactly 4 times, it will cover a distance equal to 4 times its circumference:

distance covered = 4 x circumference

distance covered = 4 x 25.12

distance covered = 100.48 centimeters

Therefore, approximately 100.48 centimeters of the pizza would be covered by the pizza cutter if it is rotated exactly 4 times.

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Complete question

The image shows a circular pizza cutter that has a diameter of 8 centimeters. Approximately how many centimeters would the pizza cutter cover if it is rotated exactly 4 times

How long is each side of the box if the volume is 1,000,000?

Answers

Step-by-step explanation:

[tex]volume = {x}^{3 \\} \\ so \: 1000000 = {x}^{3 \\} \\ x = \sqrt[3]{1000000} \\ x = 100[/tex]

500k each side I think but I could be wrong

the fifth term of the sequence is 5 and the sixth term is 2.5. What is the 2nd term?

Answers

Answer:

Let's denote the first term of the sequence as a, and the common difference between consecutive terms as d.

Then, we know that the fifth term is 5, so:

a + 4d = 5

Similarly, we know that the sixth term is 2.5, so:

a + 5d = 2.5

We can solve this system of equations by subtracting the first equation from the second:

(a + 5d) - (a + 4d) = 2.5 - 5

d = -2.5

Now, we can substitute this value of d into either equation to find the value of a:

a + 4d = 5

a + 4(-2.5) = 5

a - 10 = 5

a = 15

Therefore, the first term of the sequence is 15, and the common difference is -2.5. We can use this to find the value of the second term:

a + d = 15 + (-2.5) = 12.5

Therefore, the second term of the sequence is 12.5.

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what can be said about the coefficients of the polynomial obtained by multiplying out when both and are odd integers? when both and are even integers? when one of and is even and the other is odd?

Answers

Odd coefficients of the polynomial are obtained by multiplying both odd integers.

Even coefficients of the polynomial are obtained by multiplying both even integers.

Even and odd coefficients of the polynomial are obtained by multiplying both odd integers.

Lets take two integer m and n,

If both 'm' and 'n' are odd integers, then the coefficients of the polynomial obtained by multiplying out will be odd.

If both 'm' and 'n' are even integers, then the coefficients of the polynomial obtained by multiplying out will be even.

If one of 'm' and 'n' is even and the other is odd, then the coefficients of the polynomial obtained by multiplying out will be even and odd.

There are no other cases.

The general form of the polynomial obtained by multiplying out a binomial is:

[tex](a+b)^n = nC_0a^n + nC_1a^{(n-1)}b + nC_2a^{(n-2)}b^2 + .....+ nC_n-1ab^{(n-1)} + nC_nb^n[/tex]

where [tex]nC_k[/tex] is a binomial coefficient.

In general, for a polynomial [tex](a+b)^n[/tex], the coefficient of the term of degree k is [tex]nC_k[/tex].

The binomial coefficients are defined as:  [tex]nC_k = n! / (k!\times(n-k)!)[/tex]

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How can I solve this? ASAP

Answers

The surface area of the triangular prism is 544 square inches.

What is a prism?

A prism is a three-dimensional structure with two bases that are parallel and congruent and joined by lateral faces, which are a series of parallelograms or rectangles. All of the angles between the lateral faces and the bases are equal, and they are perpendicular to one another. The name of the prism is determined by the shape of the bases, such as triangular bases for a triangular prism, rectangular bases for a rectangular prism, and hexagonal bases for a hexagonal prism.

The surface area of the triangular prism is given by the formula:

SA = bh + (b1 + b2 + b3)l

Here, b = 12, h = 8, b1 = 10 + b2 = 10, b3 = 12 and l = 14.

Substituting the values we have:

SA = (12)(8) + (10 + 10 + 12)(14)

SA = 96 + (32)(14)

SA = 544 square inches.

Hence, the surface area of the triangular prism is 544 square inches.

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each of the letters of the word colorado are written on a piece of paper and then put into a bag. a piece of paper is drawn at random. what is the theoretical probability of not drawing an o?

Answers

The theoretical probability of not drawing an "o" is 3/4.

We have,

Each of the letters of the word Colorado are written on a piece of paper and then put into a bag.

Here, The word "Colorado" has 8 letters, including 2 "o"s.

Therefore, the probability of drawing an "o" is,

P = 2/8

P = 1/4

Hence, The probability of not drawing an "o" is the complement of this probability is,

1 - 1/4 = 3/4.

Therefore, the theoretical probability of not drawing an "o" is 3/4.

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two angles are supplementary. if one angle is two times the sum of other angle and 3, find the two angle

Answers

The answer of the given question based on the supplementary angle is  the two angles are 58° degrees and 122° degrees.

What is Angle?

An angle is a geometric figure that is formed by two rays or lines that share a common endpoint, called the vertex. The rays or lines are called  sides or arms of  angle. Angles are typically measured in the degrees or the radians.

The measure of an angle is determined by the amount of rotation needed to bring one of its sides into coincidence with the other side. A full rotation is 360° degrees, so an angle that is half of a full rotation is 180 degrees, an angle that is a quarter of a full rotation is 90° degrees, and so on.

Let's call the two angles "x" and "y". We know that they are supplementary, which means that their sum is 180° degrees:

x + y = 180

We also know that one angle (let's say "x") is two times the sum of the other angle (y) and 3:

x = 2(y + 3)

Now we can substitute the second equation into the first equation to eliminate "x":

(2(y + 3)) + y = 180

Simplifying the equation, we get:

3y + 6 = 180

Subtracting 6 from both sides, we get:

3y = 174

Dividing both sides by 3, we get:

y = 58

Now that we know "y", we can substitute it back into the equation for "x" to find its value:

x = 2(y + 3) = 2(58 + 3) = 122

Therefore, the two angles are 58° degrees and 122° degrees.

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A rectangle has an area of 15 square yards. The width is 2 yards less than the length. What is the length, in yards, of the rectangle?
A: 2 yards
B: 3 yards
C: 5 yards
D: 15 yards​

Answers

Answer:

The correct answer would be option (A).

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

length = x

Width=x-2
Area=lw

15=(x)(x-2)

15=x^2-2x

0=x^2-2x-15

Quadratic formula:

X=-15

X=5


the length is 5 because the length can’t be negative

Given the data below, which of the following statements correctly describes the relation of the point,(2,2),to the line of best fit?

Answers

The point (2,2) may be considered an anomaly and should be investigated further to determine if it is a valid data point or if it should be excluded from the analysis.

The relation of the point (2,2) to the line of best fit can be determined by analyzing the residual value of this point. The residual value is the difference between the actual y-value and the predicted y-value based on the line of best fit. If the residual value is close to zero, then the point lies on the line of best fit. If the residual value is positive, then the actual y-value is higher than the predicted y-value, and if the residual value is negative, then the actual y-value is lower than the predicted y-value.

Unfortunately, the data necessary to determine the residual value of the point (2,2) is not provided in the question. Therefore, it is impossible to determine the exact relation of this point to the line of best fit.

However, we can make some generalizations based on the location of the point relative to the trend of the data.

If the point (2,2) lies close to the line of best fit, with a residual value close to zero, then it can be said that the point follows the trend of the data and is a typical data point. However, if the point lies far away from the line of best fit, with a large positive or negative residual value, then it can be said that the point is an outlier and does not follow the trend of the data.

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Help please Hurry

Brenda throws a dart at this square shaped target: Part A: Is the probability of hitting the black circle inside the target closer to 0 or 1? Explain your answer and show your work. (5 points)
Part B: Is the probability of hitting the white portion of the target closer to 0 or 1? Explain your answer and show your work. (5 points)

Answers

The probability of hitting the black circle is closer to 0 and the probability of hitting the white portion of the target is closer to 1.

What is probability?

Probability refers to the numerical measure of the likelihood or possibility of a specific event taking place. It is a mathematical concept that involves calculating the ratio of the number of desired outcomes to the total number of possible outcomes. Probability ranges from 0 (representing an impossible event) to 1 (representing a certain event), with values in between indicating the degree of likelihood. Probability is widely used in various fields, including mathematics, statistics, science, engineering, finance, and social sciences, to make predictions, analyze data, and make decisions under uncertainty.

Explanation of the given questions :

Part A: The black circle has a radius of 1 unit and its center is the same as that of the square. Therefore, its diameter is 2 units, which is much smaller than the side length of the square, which is 11 units. This means that the area of the circle is much smaller than the area of the square.

Therefore, the probability of hitting the black circle is closer to 0.

Part B: The white portion of the target is the area of the square minus the area of the black circle. The area of the square is [tex]11 x 11 = 121[/tex] square units.

The area of the circle is [tex]\pi \times r^2 = \pi\times 1^2 = \pi[/tex] square units, which is approximately 3.14 square units. Therefore, the area of the white portion of the target is [tex]121 - 3.14 = 117.86[/tex] square units.

Since this is much larger than the area of the black circle, the probability of hitting the white portion of the target is closer to 1.

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The cost of 5 skirts and 3 blouses is sh. , 750. Mueni bought three of the the skirts and one of the blouses for sh. 850. Find the cost of each item solve with formula

Answers

As per the unitary method, the cost of one skirt is sh 20 and the cost of one blouse is sh 550.

Let us assume that the cost of one skirt is x and the cost of one blouse is y. We can now form two equations based on the given information.

Equation 1: 5x + 3y = 1750

This equation represents the cost of 5 skirts and 3 blouses together, which is given as sh 1750.

Equation 2: 3x + y = 850

This equation represents the cost of 3 skirts and 1 blouse, which is given as sh 850.

To apply the unitary method here, we can first find the value of one skirt by dividing equation 1 by 5, and then find the value of one blouse by subtracting 3 times the value of one skirt from equation 2.

Dividing equation 1 by 5, we get:

x + (3/5)y = 350

Subtracting 3 times the value of one skirt from equation 2, we get:

y = 850 - 3x

y = 850 - 3(350/5)

y = 550

So, we have found the value of y, which is the cost of one blouse. Now, we can substitute this value of y in equation 1 to find the value of x, which is the cost of one skirt.

5x + 3(550) = 1750

5x + 1650 = 1750

5x = 100

x = 20

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Please help I’ve been stuck on this for daysss

Answers

Therefore , the solution of the given problem of graphs comes out to be a = [P² * G * Ms / [tex](4\pi ^2* Mp)]^(1/3)[/tex]

Explain graph.

Graphs are used by theoretical coordinate points physicists to analytically and graphically present assertions rather than values. Typically, a graph point shows the relationship between several distinct objects. A graph is a particular kind of pas de container construction composed of groups and lines. The borders, also known as the channels, should be joined with glue.

Here,

According to Kepler's third law, one can determine the connection between a planet's orbital period and its separation from a star by:

=> P² = (4π² / GM) * a³

where P denotes the orbit's duration in years, a denotes the semi-major axis in astronomical units (AU), G denotes gravity's constant, and M denotes the star's mass in solar masses.

If we rewrite this equation, we obtain:

=> a = [P² * G * Ms / [tex](4\pi ^2* Mp)]^(1/3)[/tex]

We can rewrite this equation as follows since our goal is to estimate the distance from the sun in AU based on the mass of the planet in relation to the sun:

=> a = [P² * G * Ms / [tex](4\pi ^2* Mp)]^(1/3)[/tex]

where Mp is the mass of the planet in relation to the sun and Ms is the mass of the sun.

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factor x^2=14x-18=-8x-2

Answers

Answer:

=(x+9)(x+5)

Step-by-step explanation:

emme takes a quiz for her anthropology 401e course. there are 9 multiple-choice questions on the test with 4 answer choices, only one of which is correct. emme has not studied for the test, so she just randomly guesses the answers. what is the probability that emme answers exactly 3 questions correctly? enter your answer as a decimal with four significant digits

Answers

The probability that Emme answers exactly 3 questions correctly is 0.1961.

Since each question has four answer choices and only one is correct, the probability of Emme randomly guessing the correct answer for each question is 1/4 = 0.25. Emme needs to answer exactly 3 out of the 9 questions correctly, so we use the binomial distribution with n = 9 and p = 0.25 to calculate the probability:

P(X = 3) = (9 choose 3) * (0.25)^3 * (0.75)^6

Using a calculator, we get:

P(X = 3) = 0.1961

Therefore, the probability that Emme answers exactly 3 questions correctly is 0.1961.

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4. CENTERS Neil wants to find the center of a large
circle. He draws what he thinks is a diameter of the
circle and then marks its midpoint and declares that
he has found the center. His teacher asks Neil how
he knows that the line he drew is the diameter of the
circle and not a smaller chord. Neil realizes that he
does not know for sure. What can Neil do to
determine if it is an actual diameter.

Answers

To check if the line drawn is diameter it should be intersected at centre and it must be equidistant from the centre of the circle.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.

To determine if the line Neil drew is an actual diameter of the circle and not just a smaller chord, he can use the following method -

Extend the line on both sides to create two lines that intersect at a point outside the circle.

Use a compass to draw a circle with the same center as the original circle, and with a radius that is greater than half the length of the line Neil drew.

Check if the two lines intersect the circle at two points that are equidistant from the center of the circle.

If they do, then the line Neil drew is an actual diameter of the circle.

If they do not, then the line Neil drew is just a chord.

This method works because a diameter of a circle is the longest chord that passes through the center of the circle.

By extending the line Neil drew and creating two lines that intersect outside the circle, we can compare the distance from the center of the circle to each of the two intersection points with the radius of the circle we drew.

If the distances are equal, then the line Neil drew must be a diameter of the circle.

Therefore, the method to find the actual diameter is explained.

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which of the following is a longitudinal study? researchers test the intelligence of all the students in a high school. intelligence tests are given to the residents of a nursing home. researchers randomly select 50 students from a high school with 2000 students. the 50 students are given intelligence tests. a group of college juniors is given an extensive battery of tests over a period of 2 days. a group of kindergartners is given an intelligence test. they are retested every other year for 30 years.

Answers

Only the final option, which is typical of a longitudinal study, calls for retesting the same set of individuals over a lengthy period of time.

what is probability ?

It is a numerical value that runs from 0 to 1, with 0 denoting the impossibility of an event and 1 denoting its certainty. The probability of an event A is expressed mathematically as P(A), where P(A) is the number of possible ways that event A could happen divided by the total number of outcomes.

given

The final choice is the long-term study: "An intelligence test is given to a class of kindergarteners. During 30 years, they are retested every other year."

In a longitudinal study, a group of individuals are followed over a lengthy period of time, frequently years or even decades. A longitudinal study's goal is to look at how people change or grow over time and to pinpoint any potential contributing elements.

Only the final option, which is typical of a longitudinal study, calls for retesting the same set of individuals over a lengthy period of time.

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