Find parametric equations for the line passing through (0,0,2) and parallel to the line passing through (2,5,1) and (0,3, -4). (Use symbolic notation and fractions where needed.) Determine the point where the lines x = - 4t + 1, y = t -9, z = 2t + 1 and x = 5s + 1, y = -s, z = 5s – 9 intersect. = (Write your answer in the form of a point, (*,*,*). Enter DNE if the lines do not intersect.)

Answer:

The slope is 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

When given two points, we can find the slope using the slope formula

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

    = ( -1 - -1)/( -2 -4)

    = ( -1 +1)/( -2 -4)

    = 0/-6

   = 0

Answer:

It would be C for it is the lowest.

Step-by-step explanation:

Since all of these numbers are fractions we can divide them by the denominator and see which one would be the lowest.  If we do that we will end up getting C.

A - 0.5

B - 0.5

C - 0.4

D - 0.45

Answer:

Step-by-step explanation:

urmom

Answer:

D

Step-by-step explanation:

trust me :D

Answer:

B. (20 . 3/5)6

Step-by-step explanation:

That the complex number 5-i is indeed a solution of the equation \(x^2-10x+26=0\).

To determine whether the complex number 5-i is a solution of the equation \(x^2-10x+26=0\), we can substitute the value of x with the complex number and see if the equation holds true.

Substituting \(x = 5-i\) into the equation:

\((5-i)^2 - 10(5-i) + 26 = 0\)

Expanding the squared term:

\(25 - 10i + i^2 - 50 + 10i + 26 = 0\)

Simplifying the equation:

\(25 - 50 + 26 + i^2 = 0\)

Since\(i^2 = -1\), we can substitute that value into the equation:

\(25 - 50 + 26 - 1 = 0\)

Simplifying further:

\(0 = 0\)

Since the equation holds true, we can conclude that the complex number 5-i is indeed a solution of the equation \(x^2-10x+26=0\).

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Answer: x = y

Step-by-step explanation:

x and y are angles with vertical sides, and angles with vertical sides are always equal

The rise and run of the line may be determined using two of its points, and the slope can be calculated.

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The correct matches are: A. Slope = 1.56, B. Slope = 0.86, C. Slope = 3

D. Slope = -5.61, E. Slope = -0.44  

Given two line-side coordinates, use the slope formula to determine the slope of the line. Slope is defined as the ratio of the change in the y values to the change in the x values using the formula m=(y2-y1)/(x2-x1). x1 and y1 are represented by the first point's coordinates. The second points are located at x2, y2, and their locations.

Here are the correct matches of each pair of points to the slope of the line that joins them:

A. (9, 10) and (7.2) - Slope = (10 - 7.2)/(9 - 7.2) = 2.8/1.8 = 1.56

B. (-8,-11) and (-1,-5) - Slope = (-5 - (-11))/(-1 - (-8)) = 6/7 = 0.86

C. (5,-6) and (2,3) - Slope = (3 - (-6))/(2 - 5) = 9/3 = 3

D. (6.3) and (5,-1) - Slope = (-1 - 6.3)/(5 - 6.3) = -7.3/1.3 = -5.61

E. (4,7) and (6.2) - Slope = (6.2 - 7)/(4 - 6.2) = -0.8/1.8 = -0.44

So, the correct matches are:

A. Slope = 1.56

B. Slope = 0.86

C. Slope = 3

D. Slope = -5.61

E. Slope = -0.44      

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Answer:

Step-by-step explanation:

\(V=\pi r^2 h = \pi \times 4^2 \times 5=80\pi\) units³

The value of volume of the cylinder is,

⇒ V = 80π units²

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Radius = 4 units

Height = 5 units

Now, We know that;

Volume of cylinder = πr²h

Hence, We get;

V = π × 4² × 5

V = 80π units²

Thus, The value of volume of the cylinder is,

⇒ V = 80π units²

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We are given a regression model: test score = 800 - 8(student-teacher ratio)

If the student-teacher ratio drops by 2, then the new ratio is (old ratio - 2).

So, the new predicted test score is:

test score = 800 - 8(new ratio)

          = 800 - 8(old ratio + (-2))

          = 800 - 8(old ratio) - 8(-2)

          = 800 - 8(old ratio) + 16

Therefore, the predicted effect on the test score is an increase of 16 points.

So, the answer is (d) the test score will increase by 16 points.

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There are 10 students in the class who are not enrolled in either music or art.

To solve this problem, we can use the inclusion-exclusion principle.

The total number of students in the class who take music or art is given by:

18 + 26 - 2 = 42

However, this counts the 2 students who take both art and music twice, so we need to subtract them once to get the total number of students who take either music or art but not both:

42 - 2 = 40

So, 40 students in the class take either music or art.

To find the number of students who are not enrolled in either music or art, we subtract this from the total number of students in the class:

50 - 40 = 10

Therefore, there are 10 students in the class who are not enrolled in either music or art.

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I think 4 but I could be wrong

Answer:

(-6,2), (-7,-1), (0,0)

Step-by-step explanation:

Answer:

$5.67

Step-by-step explanation:

$5.67

Markup refers to the amount added to the cost price to cover overheads and profit. So for example a 50% markup on a $10 product would mean adding 50% of $10 onto the sale price. As fractions can be written as decimals (50% = 0.5) and we are adding on the amount of markup to the initial cost we can also phrase this as 10 x 1.5 = 15  

For your question, the markup would become 1.1 and the initial cost is 2.7, remembering we must add 1 to the markup to cover the initial cost  

2.7 x 2.1 = 5.67  

A matched-subjects study and an independent-measures study both included 17 participants.

In statistics, the number of degrees of freedom is the number of values in the final computation of a statistic that are free to change. Estimates of statistical parameters might be based upon differing quantities of information or data. Degrees of freedom refer to the maximum number of logically independent values in a data sample, which are values with the freedom to vary. Degrees of freedom is calculated by subtracting one from the number of items within the data sample.

Here,

Sample size=degree of freedom(df)+1

=16+1

=17

17 individuals participated in each study of a matched-subjects study and an independent-measures study both.

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Answer:

817 10^-3

Step-by-step explanation:

58/71

0.817

817 10^-3

Answer:

0.82

Step-by-step explanation:

The question asks to change 58/71 to a decimal, then round it off to the nearest hundredst.

To change it to a decimal, divide the denominator(71) by the numerator(58)

71/58=0.81690

Then, round off to the nearest hundrest place would be to a number in which the numbers after a decimal would form a fraction with the denominator being 100 that number would be 0.81(ignore every digit after the third number after the decimal place)

if you left the answer like this, it would be wrong. You have to consider the number after the 'rounded off decimal' which is 6. If the number is 5 or higher, add 1 to the previous number.

6 is higher than 5, so we round it off as 1

hence= 0.816 ... 0.8(+1)

Hope this  helps

Answer: 76/8547

Step-by-step explanation:

two possibilities

3 boys or 4 boys it would end up as

(18C3+18C4)/37C5

The acceleration produced by a car will decrease as its mass rises. Less acceleration will be recorded by the computer system, which will cause a drop in the acceleration value on the graph.

Graph:

An organized visual representation of any data in mathematics is called a graph. The graph shows the correlation between the variable values. In graph theory, a graph is used to represent the collection of objects that are somehow connected to one another. In essence, the objects' vertices or nodes are mathematical concepts, and the connections between the nodes are represented by the edges. Different types of graphs are used in mathematics and statistics to visually display data. The discipline of graph theory is the study of points and lines. It is a field of mathematics that specializes in the study of graphs. This image visually illustrates the mathematical truth. The graph theory is used to study relationships.

Complete question:

Use the image to answer the question. Students are using the experimental setup shown in the image in which the two ends of a string are attached to a car and to a hanger. The students conduct three trials in which they place metal discs on the hanger to manipulate the force applied to the car. As a result, the car accelerates along the table while two photogate probes collect motion data. On the fourth trial of this experiment, a student places some discs on the car by mistake. In 1-2 sentences, explain how this mistake will affect the graphs produced by the computer.

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Answer:

Step-by-step explanation:

If You have this information about return of stock in 3

periods:

-12%, 20% and 25%.

calculate:

✘ O b. The geometric average.

The value of k is 90.

The other factor of g(x) is, (x + 5)(x - 3)(x + 3)

Polynomial is formed composed of the phrases Nominal, which means "terms," and Poly, which means "many." An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

Given the function,

g(x) = x⁴ + 3x³ - 19x² - 27x + k

and  (x - 2) a factor of g(x)

so g(2) = 0

g(x) = x⁴ + 3x³ - 19x² - 27x + k

g(2) = 2⁴ + 3(2)³ - 19(2)² - 27(2) + k

2⁴ + 3(2)³ - 19(2)² - 27(2) + k = 0

16 + 24 - 76 - 54 + k = 0

k = 90

the function is g(x) = x⁴ + 3x³ - 19x² - 27x + 90

B: -5 is a zero of the function,

f(-5) = 0, or x = -5

so factor is (x + 5)

the two factors are (x + 5)(x - 2)

(x + 5)(x - 2) = x² + 5x - 2x -10

(x + 5)(x - 2) = x² + 3x - 10

to find the other two factors we need to divide the function by

x² + 3x - 10

=>  (x⁴ + 3x³ - 19x² - 27x + 90) ÷ (x² + 3x - 10)

quotient after division is

x² - 9 = (x - 3)(x + 3)

The factors of the function are (x - 2)(x + 5)(x - 3)(x + 3)

Hence k = 90, and

the three other factors of g(x) are (x + 5)(x - 3)(x + 3)

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The length of IKE is 2x - 12.

A condition on a variable that is true for just one value of the variable is called an equation.

Since KITE is a kite, we know that KT = IT and KE = IE. Let's call the length of these diagonals d. Then we have:

KT + TI = d

KE + EI = d

Substituting in the given values, we get:

x + 6 + 2x = d

2x + IE = d

Solving for d in the first equation, we get:

3x + 6 = d

Substituting this into the second equation, we get:

2x + IE = 3x + 6

Solving for IE, we get:

IE = x + 6

Therefore, IKE is equal to:

IKE = IT - IE

IKE = (d - KT) - (x + 6)

IKE = (3x + 6 - x - 6) - (x + 6)

IKE = 2x - 12

So, the length of IKE is 2x - 12.

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Answer:

Point of Intersection = (2/3, -16/3)

Step-by-step explanation:

Equation of line AB

=> y + 18 / -15 + 18 = x + 3 / -2 + 3

=> y + 18 = 3x + 9

=> y = 3x - 9

Equation of Line CD

=> y + 13 / -7 + 13 = x + 7 / -1 + 7

=> y + 13 = x + 7

=> y = x - 6

Intersection

=> 3x - 9 = x - 6

=> 2x = 3

=> x = 2/3

y = 2/3 - 6

y = -16/3

Point of Intersection = (2/3, -16/3)

In situation a, the predictor variable is age, as it is being tested to see if it affects the outcome variable, which is the number of risky behaviors. So, age is the independent variable and the number of risky behaviors is the dependent variable.

In situation b, the predictor variable is the number of family members, as it is being tested to see if it affects the outcome variable, which is the level of education of children. So, the number of family members is the independent variable and the level of education of children is the dependent variable.

It is important to identify the predictor variable and the outcome variable in any study as this helps in understanding the relationship between the two variables and in interpreting the results accurately.

For situation A, the predictor variable is "age," and the outcome variable is "number of risky behaviors." As age increases, the study aims to see if the number of risky behaviors changes.

For situation B, the predictor variable is "number of family members," and the outcome variable is "level of education of children." The study examines whether the children's level of education changes based on the number of family members.

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a. The sampling distribution of the sample mean for samples of size 64 is $1.15 thousand. b. The sampling distribution of the sample mean for samples of size 256 is $0.58 thousand. Yes, we need to assume that classroom teacher salaries are normally distributed. c. We can be 95% confident that the true population mean salary of all classroom teachers lies within $1000 for sample size 64 and d. for sample size 256.

a. Using the central limit theorem,

The mean of the sampling is:

standard error of the mean = population standard deviation / sqrt(sample size)

sample size = 64:

standard error of the mean = 9.2 / sqrt(64) = 1.15

So the sampling distribution of the sample mean for samples of size 64 has a mean of $49.0 thousand and a standard deviation of $1.15 thousand.

b. For samples size = 256, the standard error of the mean can be calculated as:

standard error of the mean = 9.2 / sqrt(256) = 0.58

So the sampling distribution of the sample mean for samples of size 256 has a mean of $49.0 thousand and a standard deviation of $0.58 thousand.

c. Using the formula for margin of error:

margin of error = z* (standard error of the mean)

where z* is the z-score. Assuming a 95% level of confidence, z* is 1.96.

Therefore,

margin of error = 1.96 * 1.15 = 2.25

d. To find the probability,

margin of error = 1.96 * 0.58 = 1.14

So we can be 95% confident that the true population mean salary of all classroom teachers lies within $1000 of the sample mean salary of a sample of 256 classroom teachers, with a margin of error of $1.14 thousand.

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Answer:

Hey there!

Circumfrence = 3.14d

Circumfrence = 3.14(14), or 43.96

Hope this helps :)

Answer:

41.5

23.5

Step-by-step explanation:

Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:

x + y = 65

The difference between x and y is -18. In other words, x minus y equals -18 and can be written as equation B:

x - y = -18

Now solve equation B for x to get the revised equation B:

x = -18 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 65

-18+y+y=65

-18 + 2y = 65

2y = 83

y = 41.5

Now we know y is 41.5. Which means that we can substitute y for 41.5 in equation A and solve for x:

x + y = 65

x + 41.5= 65

X = 23.5

DIfference : 23.5 - 41.5 = 18

Sum: 41.5 +23.5 = 65

Hence, The two number are 23.5 and 41.5

[RevyBreeze]

I apologize, but as a text-based AI model, I am unable to provide handwritten answers or show work in form of formulas. To determine annual interest rate of 4.5%, we can use compound interest formula.

To determine how long it will take to double your money with an annual interest rate of 4.5%, we can use the compound interest formula:

A = P(1 + r/n)^(nt)

Where:

A = Final amount (double the initial amount)

P = Principal (initial amount)

r = Annual interest rate (as a decimal)

n = Number of times interest is compounded per year

t = Time (in years)

In this case, we want to find the value of t. Let's assume the initial amount is P, and the final amount is 2P (double the initial amount). Substituting these values into the formula, we have:

2P = P(1 + 0.045/n)^(nt)

To solve for t, we can divide both sides of the equation by P and simplify:

2 = (1 + 0.045/n)^(nt)

Taking the natural logarithm (ln) of both sides of the equation:

ln(2) = nt ln(1 + 0.045/n)

Now, we can solve for t:

t = ln(2) / (n ln(1 + 0.045/n))

The value of n will depend on how frequently the interest is compounded (e.g., annually, semi-annually, quarterly, etc.). By substituting the appropriate value for n and evaluating the expression, you can determine the time it will take to double your money.                                              Note: If you provide the specific compounding period, I can assist you in calculating the exact time it takes to double your money.

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Earl works a total of 3 days in a week. From Monday through Friday, he works in the bookstore on 1 day and in the athletic center on 2 days. On Saturday and Sunday, he cooks food on 50% of the days, which would be a total of 1 day. Therefore, he works a total of 3 days in a week.

To calculate the percentage of Monday through Friday that Earl works, we need to first calculate the total number of days in a week, which is 7. Then, we need to subtract  the weekend days, which are Saturday and Sunday, leaving us with 5 days.

Finally, we can calculate the percentage by dividing the number of days Earl works from Monday through Friday (which is 1) by the total number of weekdays (which is 5), and multiplying by 100. So, Earl works 20% of Monday through Friday.

In summary, Earl works 3 days in a week, 1 day in the bookstore and 2 days in the athletic center. He also cooks food on 1 day during the weekend. Earl works 20% of Monday through Friday.

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Answer:

228 square meters

Step-by-step explanation:

My average from the given data sets is 82.6

The average or mean of a data set is a measure of the data's central tendency. It is computed by the summation of all of the values in the dataset and then dividing the sum by the total number of values of the dataset.

The average or the mean of a data set is a good representation of the data as a whole because it takes into consideration all of the values in the data set.

From the given information:

My average =  (88 + 93 + 70 + 62 + 100)/5

My average = 413/5

My average is 82.6

Therefore, we can conclude that from the quality ratings, the average mean is 82.6

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A company wants to determine which of the two production methods has a shorter completion time. To collect completion time data, one sample of workers is randomly selected, and each worker first uses one method, and then the other method.

The sampling method used for data collection is based on a "within-subject design."The within-subject design, also known as a repeated measures design, is a type of research design in which all participants receive both levels of the independent variable (production methods) in a random order. This design is also known as a repeated-measures design, a within-subjects analysis, or a longitudinal design since it collects data over time and compares each participant's performance to his or her own scores on a different occasion.

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