Line v has an equation of y–2= – 6(x–9). Line w, which is parallel to line v, includes the point (2, – 3). What is the equation of line w?

Answer:

117°

Step-by-step explanation:

Arc ABC (AB + BC) is intercepted by angle D.

Therefore, Arc ABC is 2 × m<D. (Inscribed Angle Theorem)

AB = 91°

m<D = 104°

Let BC = x

Arc ABC = (91° + x)

Thus,

91° + x = 2 × 104°

Solve for x

91 + x = 208

Subtract 91 from both sides

91 + x - 91 = 208 - 91

x = 117

Measure of arc BC = 117°

This means that a linear relationship exists among the variables.

When the data points on a scatterplot cluster along a straight line, it indicates that there is a linear relationship between the two variables being plotted.

The scatterplot visually shows that as one variable increases or decreases, the other variable also increases or decreases in a proportional manner, following a straight-line pattern.

The correlation coefficient is an estimation of the strength and direction of the linear relationship between two variables. A positive correlation coefficient indicates that as one variable increases, the other variable also increases, while a negative correlation coefficient indicates that as one variable increases, the other decreases.

The magnitude of the coefficient implies the strength of the relationship, with a value of 1 showing a perfect positive correlation and a value of -1 showing a perfect negative correlation.

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--The given question is incomplete; the complete question is

"A student conducting a research study was told by her professor to use a scatterplot in conjunction with calculating the correlation coefficient. She discovered that the data points clustered along a straight line; this means that:  

A. The student cannot determine if a relationship exists.

B. No relationship exists between variables.

C. A nonlinear relationship exists among the variables.

D. A linear relationship exists among the variables."--

On solving the provided question, we can say that by using N= 2X + 1 or  N = 2X-1  will do the job for composite numbers.

By multiplying two small positive integers, you can create a composite number, which is a positive integer. Likewise, any positive integer that has at least one divisor besides itself and 1. Positive whole numbers make up composite numbers. It lacks prime (that is, it has divisors other than 1 and itself). The first several composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16, and are frequently referred to simply as "composites." In other words, composite odd numbers encompass all non-prime odd numbers. for illustration: 9, 15, 21, etc. No. As a result, 2 only possesses the divisors 1 and 2. To put it another way, since 2 only has two divisors, it is not a composite number.

by using N= 2X + 1

or

N = 2X-1

will do the job for composite numbers.

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If there are 25 people and a profit of $325, we solve the system of equations to find that there were 10 children and 15 adults.

------------------------------------

For our system, we say that:

Total of 25 people, thus:

\(x + y = 25 \rightarrow x = 25 - y\)

Profit of $325, thus, considering that each ticket for a child costs $10 and for an adult $15:

\(10x + 15y = 325\)

Since \(x = 25 - y\)

\(10(25 - y) + 15y = 325\)

\(5y = 75\)

\(y = \frac{75}{5}\)

\(y = 15\)

\(x = 25 - y = 25 - 15 = 10\)

There were 10 children and 15 adults in the visit.

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She will plot a graph using the given points and trace the point y = 11 to the x-axis.

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.

Firstly she would have form tables of values for x and y using y = 5x + 2 x-values had been given as   -22- 20 18 16 14 12 10- 8 6 0 6 8 .

Then plot a graph of the line y =5x + 2  with y on the vertical  and x on the horizontal.

After plotting the graph, on the vertical axis trace y = 11, draw a horizontal line from y = 11 until it just touches the straight line graph from that point drop a vertical line until it touches the x-axis. the value of x there is the solution of the equation y = 5x +2.

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The value of the composite function (g o f)(6) is 3

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

f(x) = 2x + 3

g(x) = 1/5x

A. Find f(6)

substitute the known values in the above equation, so, we have the following representation

f(6) = 2 * 6 + 3

So, we have

f(6) = 15

For the function (gof)(6), we have

g(x) = 1/5x

This gives

(g o f)(6) = 1/5 * 15

Evaluate

(g o f)(6) = 3

Hence, the composite function has a solution of 3

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Complete question

Given that f(x) = 2x + 3 and g(x) = 1/5x

Compute (gof)(6)

A. Find f(6)

B. substitute the value of g(x) into the function f(x) in place of x

Answer:

$8000

Step-by-step explanation:

For every $1000 Katrina sells, she earns $75. This is becuase when we multiply what she sold by her commision price, we get what she made

If we want to find how much she needs to make to earn $600, we can divide 600 by 75. This gives us 8. So, she will need to sell $8000 in order to earn $600

Answer:

see i have posted my pic

Step-by-step explanation:

please mark me as brainliest

Answer:

The values of

k are

(-4,2)

Step-by-step explanation:

sorry if wrong

The answer of the given question based in geometric sequence is given is,  the next three terms in the sequence are:

-1/81, -1/243, -1/729.

A sequence is set of numbers that follow  particular pattern or rule. Each individual number in  sequence is called a term, and the position of each term in  sequence is called  index. The pattern or rule that describes how to generate  terms of  sequence is called the sequence's generating function or recursive formula.

Sequence is classified based on behavior over time, like whether they are increasing or decreasing.

The common ratio between any two consecutive terms in this sequence is 1/3, since to get to the next term, we multiply the previous term by 1/3.

Therefore, the next three terms in the sequence are:

-1/81, -1/243, -1/729

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According to the information, the 95% confidence interval for the proportion of Americans who drink tea daily is approximately (0.2485, 0.2766). The margin of error is approximately 0.0140.

To construct a confidence interval for the proportion of Americans who drink tea daily, we can use the formula:

Where,

p = the sample proportion

Z = the critical value corresponding to the desired confidence level

n = the sample size

Given:

Now, let's calculate the confidence interval and margin of error:

According to the information, the 95% confidence interval for the proportion of Americans who drink tea daily is approximately (0.2485, 0.2766), with a margin of error of approximately 0.0140.

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Answer:64.29

:) good luck!

Answer:

Step-by-step explanation:87

Answer: 70

Step-by-step explanation: i dont really have an explanation but its the right answer

Answer:

E is the same distance from A and B. ⇒ D

Step-by-step explanation:

Let us explain the meaning of perpendicular bisector

If line m is the perpendicular bisector of line n, then

∵ Line CD is the perpendicular bisector of segment AB

∴ Line CD intersects segment AB at the mid-point of AB

∵ Line CD and segment AB intersected at point E

→ That means E ∈ CD and E ∈ AB

∴ Point E is the mid-point of line AB

∴ Point E divides line AB into 2 equal parts

→ That means point E is at the same distance from points A and B

∴ E is the same distance from A and B.

\(10\sqrt{45}=10\sqrt{9\cdot5}=10\sqrt{3^2\cdot5}=\\\\=10\cdot3\sqrt5=\boxed{30\sqrt5}\)

Answer:

a) 12/18

b) 6

Step-by-step explanation:

If adding 6 white balls doubles the probability then the original amount of balls is 6 and with the new amount of 18, the likelihood of picking a white ball becomes 12/18.

Weight of slab of beeswax isn't given.

Assume slab of beeswax = 36 gram.

Answer:

3 gram

Step-by-step explanation:

Each slab of beeswax = 36 gram

Total weight of all 3 slabs = (3 * 36) = 108 g

Number of same-sized candles to make = 36

The weight of each candle will be ;

Total weight of slabs / number of candles

108 g / 36

= 3 grams

F(x) = x! × x² - 2² + 3²

F(5) = 5! × 5² - 2² + 3²

F(5) = 120 × 25 - 4 + 9

F(5) = 3.000 - 4 + 9

F(5) = 2.996 + 9

F(5) = 3.005

I hope this helps

The complete statement is <, >, or = 20% of 80 = 80% of 20 = 16

To complete the statement using <, >, or =, we need to determine which value is larger between 20% of 80 and 80% of 20.

20% of 80 can be calculated as (20/100) x 80 = 16.

Similarly, 80% of 20 can be calculated as (80/100) x 20 = 16.

We can see that both values are equal to 16.

Therefore, the statement can be completed as:

20% of 80 = 80% of 20 = 16.

In other words, 20% of 80 is the same as 80% of 20, and both values are equal to 16.

This result may seem surprising at first, but it is an example of the commutative property of multiplication. This property states that the order of multiplication does not affect the result.

In this case, whether we calculate 20% of 80 or 80% of 20, we are essentially multiplying two numbers and taking a percentage of the result. The order of multiplication does not matter, and we end up with the same value of 16.

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Answer:

The point on the graph when x = 1 is (1, 1.4).

Step-by-step explanation:

To find the point on the graph when x = 1, substitute x = 1 into the given function.

\(\begin{aligned}x=1 \implies f(1)&=2 \cdot (0.7)^1\\&=2 \cdot 0.7\\&=1.4 \end{aligned}\)

Therefore, the point on the graph when x = 1 is (1, 1.4).

Answer:

Geometric.

Step-by-step explanation:

It is Geometric because there is a common ratio between the terms.

50p/100p = 1/2

25p/50p = 1/2

The common ratio is 1/2.

Each term is obtained by multiplying by 1/2, so the next term in this progression is 25p * 1/2 = 12.5p.

Answer:

The probability of boy in seventh child is 1/2, because the possibility of male child is always 50%.

Step-by-step explanation:

Thus, the probability that a randomly selected card has a consonant is 62.5%. This means that if you were to randomly select a card from the pile of cards, there is a 62.5% chance that the card would be a consonant.

The number of consonants in the word "probable" and the total number of cards. There are 5 consonants in "probable" (p, r, b, l, and b) and a total of 8 cards.

In the word "probable," there are 5 consonants (p, r, b, b, and l) and 3 vowels (o, a, and e). To calculate the probability of choosing a consonant, divide the number of consonants by the total number of letters:

Probability = (Number of consonants) / (Total number of letters)

The probability of selecting a consonant can be calculated by dividing the number of consonants by the total number of cards:

5 consonants / 8 cards = 0.625 or 62.5%

Therefore, the probability that a randomly selected card has a consonant is 62.5%. This means that if you were to randomly select a card from the pile of cards, there is a 62.5% chance that the card would be a consonant.

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Answer:

a. Subtraction property

b. Addition property and Multiplication property

Step-by-step explanation:

Given

\(5y = 25\)

Solving (a): Which property is applied to \(5y-7 = 25-7\)

The property applied is the subtraction property of inequality, and it states that:

If \(a = b\)

Then

\(a - x = b - x\)

So, in this case:

\(a = 5y, b = 25\ and\ x=7\)

Solving (b): Other properties

1. The additive property of equality

If \(a = b\)

Then

\(a + x = b + x\)

So, the expression can be written as:

\(5y + 12 = 25 + 12\)

When 12 is subtracted from both sides, the equation returns to the original

i.e.

\(5y + 12 - 12 = 25 + 12 - 12\)

\(5y = 25\)

2. The multiplication property of equality

If \(a = b\)

Then

\(a * x = b * x\)

So, the expression can be written as:

\(5y* 2 = 25 * 2\)

\(10y = 50\)

When both sides are divided by 2, the equation returns to the original

i.e.

\(\frac{10y}{2} = \frac{50}{2}\)

\(5y = 25\)

Answer:

I Have the same question

Step-by-step explanation:

Answer:

1/12 or 0.0833

Step-by-step explanation:

P(Coin) = 1/2

P(Dice) = 1/6

1/2 × 1/6 = 1/12

Answer:

its division

Step-by-step explanation:

The percent discount the card gives can be:

4% or 96%.

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

We have,

Royal card for discount.

Multiplying the total price to pay with 0.96 means two cases.

0.96 = 96/100 = 96%

Cases 1:

If the percent discount is 96% we will multiply the total prices to pay by 0.96 and subtract the value from the total price.

Example:

Total price to pay = 100

0.96 x 100 = 96

Total price to pay = 100 - 96 = 4

Cases 2:

If the percent discount is 4% we will multiply the total prices to pay by 0.96 after subtracting 4% from 100%.

Example:

Total price to pay = 100

Discount = 4%

100% - 4% = 96%

96% = 0.96

Total price to pay = 0.96 x 100 = 96

Thus,

The percent discount the card gives can be:

4% or 96%.

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For an initial Bacteria population of 8000 to reach 12000 bacteria it will take almost 4 hours.

Bacterial culture growth is defined as an increase in the number of bacteria within a population rather than an increase in the size of individual cells. Bacterial population growth occurs geometrically or exponentially. In each cycle of division (generation), the cell develops into 2 cells, then 4 cells, then 8 cells, then 16 cells, then 32 cells. The time required for generation formation, generation time (G), can be calculated using the following formula:

G = 1/n = \(\frac{t}{3.3logb/B}\)

where B is the number of bacteria at the start of observation, b is the number of bacteria present after period t, and n is the number of generations. This relationship indicates that the average generation time is constant and the rate of bacterial population growth is proportional to the number of bacteria at any given time point. This relationship holds only during periods of exponential population growth called logarithmic growth.

According to the question:

2^(t/6) = 12000/8000 = 1.5

t = 6log1.5/log2

 = 3.6 hours

Round up, since in 4 hours it will double to 12,000.

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answer:

I believe it's D

The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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