what is the slope of (2,-2) and (5, -6) ?

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I really hope this Helps, I don't know how to explain it really

\( \csc(82.4^\circ) \approx \frac{1}{0.988} \approx 1.012 \) (rounded to three decimal places). The solutions to the equation \( \frac{x-1}{3} = \frac{5}{x} + 1 \) are \( x = 5 \) and \( x = -3 \).

Using a calculator, we find that \( \sin(82.4^\circ) \approx 0.988 \) (rounded to three decimal places). Therefore, taking the reciprocal, we have \( \csc(82.4^\circ) \approx \frac{1}{0.988} \approx 1.012 \) (rounded to three decimal places).

Now, let's solve the equation \( \frac{x-1}{3} = \frac{5}{x} + 1 \) for \( x \):

1. Multiply both sides of the equation by \( 3x \) to eliminate the denominators:

  \( x(x-1) = 15 + 3x \)

2. Expand the equation and bring all terms to one side:

  \( x^2 - x = 15 + 3x \)

  \( x^2 - 4x - 15 = 0 \)

3. Factorize the quadratic equation:

  \( (x-5)(x+3) = 0 \)

4. Set each factor equal to zero and solve for \( x \):

  \( x-5 = 0 \) or \( x+3 = 0 \)

This gives two possible solutions:

  - \( x = 5 \)

  - \( x = -3 \)

Therefore, the solutions to the equation \( \frac{x-1}{3} = \frac{5}{x} + 1 \) are \( x = 5 \) and \( x = -3 \).

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The probability of choosing all five white balls correctly from a bowl of 69 white balls and the probability of choosing the correct red ball from a bowl of 29 red balls is \({}^{69}C_5/29\) .

The probability of choosing all five white balls correctly can be calculated using the formula for combinations, where the order does not matter and the balls are chosen without replacement. The probability is given by:

P(Choosing all 5 white balls correctly) = (Number of ways to choose 5 white balls correctly) / (Total number of possible combinations)

The number of ways to choose 5 white balls correctly is 1, as there is only one correct combination.

The total number of possible combinations can be calculated using the formula for combinations, where we choose 5 balls out of 69. It is given by:

Total number of combinations = \({}^{69}C_5\)

Next, we need to calculate the probability of choosing the correct red ball from a bowl of 29 red balls. Since there is only one correct red ball, the probability is 1/29.

Finally, to find the likelihood of being the winner of the Powerball lottery, we multiply the probability of choosing all five white balls correctly by the probability of choosing the correct red ball:

Likelihood = P(Choosing all 5 white balls correctly) * P(Choosing correct red ball)

=\({}^{69}C_5 \times 1/29\\\)

This gives us the probability of being the winner of the Powerball lottery.

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the probability of having 4 months containing exactly 2 birthdays and 4 months containing exactly 3 birthdays among 20 people is approximately 0.000008, or about 0.0008%

The problem of calculating the probability of a certain pattern of birthdays among a group of people can be approached using the techniques of combinatorics and probability. To calculate the probability of having 4 months containing exactly 2 birthdays and 4 months containing exactly 3 birthdays among 20 people, we can use the following steps: First, we need to choose which 4 months will have exactly 2 birthdays and which 4 months will have exactly 3 birthdays. There are 12 months to choose from, so the number of ways to make these choices is given by the binomial coefficient: C(12, 4) × C(8, 4). This is the number of ways to choose 4 months out of 12 to have exactly 2 birthdays, multiplied by the number of ways to choose 4 months out of the remaining 8 to have exactly 3 birthdays. Next, we need to assign the people to the months. To do this, we can use the principle of inclusion-exclusion, which states that the number of ways to assign the people to the months so that each of the chosen months has the correct number of birthdays is: N = (20!/(2!²× 3!⁴)) × (4¹² - 6 × 3¹² + 4 × 2¹²). This expression counts the number of ways to distribute the 20 people among the 12 months so that the chosen months have the correct number of birthdays, and subtracts the cases where one or more of the chosen months have too many or too few birthdays. The factor (20!/(2!⁸ × 3!⁴)) accounts for the fact that we are counting distinguishable arrangements of people. Finally, we can calculate the probability of the desired pattern of birthdays by dividing the number of favorable outcomes (N) by the total number of possible outcomes, which is simply the total number of ways to assign the people to the months, given by: 12²⁰. Putting it all together, we get: P(4 months with 2 birthdays, 4 months with 3 birthdays) = N / 12²⁰. Evaluating this expression gives: P(4 months with 2 birthdays, 4 months with 3 birthdays) ≈ 0.000008. Therefore, the probability of having 4 months containing exactly 2 birthdays and 4 months containing exactly 3 birthdays among 20 people is approximately 0.000008, or about 0.0008%.

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Answer:The answer is (√229)/6

Step-by-step explanation: i dont know

Answer:

\((\)√\(\frac{229}{6}\)\()\)

Step-by-step explanation:

Easy.

Answer:

rice

Step-by-step explanation:

the best

Answer:

money earned = 110

Step-by-step explanation:

Money earned * percent saved = money saved

money earned * 30% = 33

Change to decimal form

money earned * .30 = 33

Divide each side by .3

money earned = 33/.3

money earned = 110

Answer:

105x^4 + 3x^3 - 5x - 8

Step-by-step explanation:

Multiply the terms inside of each polynomial, then add like terms.

Answer: The slope of the line that passes through the points ( 9 , − 10 ) and ( 14 , 5) is 3.

Step-by-step explanation:

To calculate the slope of the line, we apply the following formula:

  \(\boldsymbol{\sf{m=\dfrac{\Delta y}{\Delta x} \iff \ m=\dfrac{y_2-y_1}{x_2-x_1} }}\)

where m is the slope of the line.

The points are:

         \(\boldsymbol{\sf{\diamond \ x_1=9, \ y_1=-10 }}\\ \\ \boldsymbol{\sf{\diamond \ x_2=14, \ y_2=5 }}\)

We substitute our data in the formula and solve, then

      \(\boldsymbol{\sf{m=\dfrac{5-(-10)}{14-9}=\dfrac{15}{5}=3 }}\)

The slope of the line that passes through the points ( 9 , − 10 ) and ( 14 , 5) is 3.

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What is the slope of the line that passes through the points (9 , -10 ) and (14 , 5)? Write your answer in simplest form.

From inspection on the given problem:

To calculate the slope of the line passing through the given points, we must use the formula below:

Substitute the given values into the slope formula and solve for m:

\( \sf{m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{5 - (-10)}{14 - 9} = \dfrac{15}{5} = \pmb{3}}\)

Therefore, the slope of the line that passes through the given points is 3.

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A direct relationship between two variables is reflected in a "POSITIVE" correlation coefficient.

Correlation is a statistical technique for measuring and describing the relationship between two variables.

The variables move in the same direction when they have a positive correlation. In other words, as one variable increases, so does the other, and conversely, as one variable decreases, so does the other.

Typically, the two variables are simply observed rather than manipulated. Two scores from the same individuals are required for the correlation.

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The graph of the equation that is parallel to 4x – 3y = –12 is determined as: A. y = 4/3x - 3/2.

If two lines are parallel to each other, their graph will have the same slope value, m. This means if their equations are expressed as y = mx + b in slope-intercept form, they will both have the same value of m.

Given the equation of a graph as 4x - 3y = -12, rewrite it in slope-intercept form to determine the slope value:

4x - 3y = -12

-3y = -4x - 12

-3y/-3 = -4x/-3 - 12/-3

y = 4/3x + 4

This means the slope, m is 4/3. The slope of the graph that is parallel to it will also have a slope of 4/3.

The slope of y = 4/3x - 3/2 is also 4/3, therefore, the answer is: A. y = 4/3x - 3/2.

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Complete Question:

The graph of which of the following will be parallel to the graph of 4x – 3y = –12?

A. y = 4/3x - 3/2

B. 6x - 4y = -8

C. y = 3/4x +1

D. 4x – 2y = –12

Answer: 4 dresses

Step-by-step explanation:

Hope you get it right!

Answer:

31, 32, 29, 31

u < 28

Step-by-step explanation:

To find if a value works for an inequality, one has to substitute in the value and simplify. If the resulting equation is true, then the value is a part of the solution set of the inequality.

When simplifying an inequality, one must follow all the same rules as simplifying an equation. The only difference is that when one multiplies or divides by a negative number one must flip the inequality sign for the inequality to remain true. In this case, this rule won't come into play.

\(\frac{u}{4}<7\)

*4   *4

u < 28

The H3N2 human influenza virus is a type of virus abundant in the seasonal flu. In the study conducted at CSU in the Department of Biomedical Sciences, 15 ferrets were randomly assigned to either receive a vaccine (treatment) or not (control).

After 27 days, both groups were exposed to the H3N2 virus, and their weights were recorded before exposure and 5 days after exposure. Additionally, their maximum temperature reached during those 5 days was recorded. An effective vaccine should mitigate the symptom of increased body temperature, which is associated with H3N2 infection.

The variables in this data set include the ferrets' weight, maximum temperature reached, and treatment status (vaccine or control).

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Triangle pairs are similar polygons if they have the same shape but not necessarily the same size. In order for two triangles to be similar, they must satisfy the following conditions:

They must have the same angles. This means that the measures of the angles in one triangle must be the same as the measures of the corresponding angles in the other triangle.

The lengths of the sides must be in the same ratio. This means that if you divide the lengths of the corresponding sides of one triangle by the lengths of the corresponding sides of the other triangle, you must get the same ratio for all pairs of sides.

For example, if triangle ABC is similar to triangle DEF, the ratios of AB/DE, AC/DF, and BC/EF must all be the same.

To determine if two triangles are similar, you can use one of several theorems and postulates, such as the Side-Side-Side (SSS) Similarity Theorem, the Side-Angle-Side (SAS) Similarity Theorem, or the Angle-Angle (AA) Similarity Postulate. These theorems and postulates provide different sets of conditions that must be satisfied in order for two triangles to be similar.

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Answer: 1000 dollars each

Step-by-step explanation: Assuming each student is providing an equal amount of money, which we are forced to with the lack of context, it's a simple division problem of 30,000 divided by 30, with 30 to represent the amount of students and 30,000 the total contribution. Using the Power Of Ten Rule, 10 x 1000 is 10,000, so 30 x 1,000 is 30,000, and therefore 30000 divided by 30 is 1,000

Answer:

1 !

Step-by-step explanation:

it is 1 1/4 units to the left and 3/4 of a unit up

9514 1404 393

Answer:

  1)  (-1 1/4, 3/4)

Step-by-step explanation:

Coordinates in two dimensions are given as an ordered pair, (x, y). That is, the x-coordinate is always listed first, followed by the y-coordinate.

The x-coordinate is the distance to the right of the x=0 point, or y-axis. Distances to the left have a negative sign. Here, the given point is 5 grid squares to the left of the y-axis, so has an x-coordinate of -5/4 = -1 1/4. (Each grid square on this graph is 1/4 unit.)

The y-coordinate is the distance above the y=0 point, or x-axis. Distances below have a negative sign. Here, the given point is 3 grid squares above the x-axis, so has a y-coordinate of 3/4.

The coordinates of the given point are (x, y) = (-1 1/4, 3/4).

_____

Additional comment

The above discussion refers to coordinates on the "Cartesian plane." There are other ways of determining location. Some are based on the distance from an origin and an angle from a reference direction. Then, the ordered pair is not (distance right, distance up), but may be (distance from origin, CCW angle from 'right'). In navigation, it may be (latitude angle, longitude angle), or (bearing distance, bearing angle CW from North).

To prove the identity sinh(2x) = 2 sinh(x) cosh(x), we can use the definitions of sinh(x) and cosh(x) and apply trigonometric identities for exponential functions.

We start with the left-hand side of the identity, sinh(2x). Using the definition of the hyperbolic sine function, sinh(x) = (e^x - e^(-x))/2, we can substitute 2x for x in this expression, giving us sinh(2x) = (e^(2x) - e^(-2x))/2.

Next, we focus on the right-hand side of the identity, 2 sinh(x) cosh(x). Again using the definitions of sinh(x) and cosh(x), we have 2 sinh(x) cosh(x) = 2((e^x - e^(-x))/2)((e^x + e^(-x))/2).

Expanding this expression, we get 2 sinh(x) cosh(x) = (e^x - e^(-x))(e^x + e^(-x))/2.

By simplifying the right-hand side, we have (e^x * e^x - e^x * e^(-x) - e^(-x) * e^x + e^(-x) * e^(-x))/2.

This simplifies further to (e^(2x) - 1 + e^(-2x))/2, which is equal to the expression we derived for the left-hand side.

Hence, we have proved the identity sinh(2x) = 2 sinh(x) cosh(x) by showing that the left-hand side is equal to the right-hand side through the manipulation of the exponential functions.

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The grit that he should order if he is to use all of the cement is 10 cubic yards.

From the information, a concrete mixture contains 4 cubic yards of cement for every 20 cubic yards of grit.

Therefore, when a mason orders 50 cubic yards of cement, this can be illustrated as x.

4/x = 20/50

Cross multiply

20x = 50 × 4

20x = 200

Divide

x = 200/20

x = 10

The value is 10 cubic yards.

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\(\large{\underline {\underline {\frak {SolutioN:-}}}}\)

➝ -4 × (-2) [2 × (-6)+ 3×(2×6-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-8) ]

➝ -4 × (-2) [2 × (-6) + 3 × (4) ]

➝ -4 × (-2) [2 × (-6) + 12 ]

➝ -4 × (-2) [(-12) + 12 ]

➝ -4 × (-2) [0]

➝ -4 × 0

➝ 0

Answer:

-4*-2

Step-by-step explanation:

the multiple of both side is 4*2*,26+*32*--=6 44

Answer:

1/2

Step-by-step explanation:

Since you are going from the biggest to smallest, it would be 1/2. If you are going from the smallest to biggest it would be 2. So the answer is 1/2. :)

When we have no information about the expected values (E) or variances (Var) of random variables X and Y due to the ignorance of their probability density functions (PDFs) or probability mass functions (PMFs), we can still make use of the assumption that X and Y are independent and identically distributed (i.i.d.). By relying solely on the i.i.d. assumption, we can estimate the expected values and variances of X and Y.

In the absence of knowledge about the specific PDF/PMF of X and Y, the i.i.d. assumption allows us to treat X and Y as if they were drawn from the same distribution with unknown parameters. This assumption enables us to employ certain statistical techniques and properties that are applicable to i.i.d. random variables.

To estimate the expected values of X and Y (E(X) and E(Y)), we can calculate the sample means of a sample drawn from each variable. Under the i.i.d. assumption, the sample means should provide reasonable approximations of the true expected values.

Similarly, to estimate the variances of X and Y (Var(X) and Var(Y)), we can calculate the sample variances of samples drawn from each variable. Again, assuming independence and identical distribution, the sample variances can be used as estimators of the true variances.

It is important to note that these estimations rely solely on the i.i.d. assumption and do not take into account any specific characteristics of the unknown distributions of X and Y. They serve as basic estimators in the absence of additional information about the PDFs/PMFs.

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9 loljdjdbdbbdhdhdsivsvsg7sg7s7f

Answer:

9 servings  22.5 oz equals 2.81 cups. 1 ounce is equivalent to 0.125 cups, and there are 2.81 cups in 22.5 ounces. but if its solid its 9

Answer:

{-11,17}

Step-by-step explanation:

|X – 3|= 14

There are  two solutions to an absolute value, one positive and one negative

x-3 = 14    and x-3 = -14

Add 3 to all sides

x-3+3 =14+3         x-3+3 = -14+3

x = 17                     x = -11

x = {-11,17}

The two tangent theorem can be used to find the required equations and  the lengths of the of the segments and tangents as follows;

4. 6x - 16 = 4x - 10

5. x = 13

6. 10y - 3 = 7y + 21

7. y = 8

8. GK = 139
9. GZ = 77

10. ZL = 62

The two tangent theorem states that intersecting tangent segments from the point of the intersection to the circle are congruent.

The two tangent theorem indicates;

PZ = GZ, and ZK = ZL

Therefore;

4. An equation that can be used to solve for x can be obtained from the equation formed using the two tangent theorem and plugging in the value of ZK and ZL in the equation; ZK = ZL

The equation is therefore; 6·x - 16 = 4·x + 10

5. 6·x - 16 = 4·x + 10

6·x - 4·x = 10 + 16 = 26

2·x = 26

x = 13

6. The equation that can be used to solve for y can be obtained from the equation PZ = GZ, by plugging in the values of PZ and GZ in the equation as follows;

10·y - 3 = 7·y + 21

7. 10·y - 3 = 7·y + 21

10·y - 7·y = 21 + 3 = 24

3·y = 24

y = 24/3 = 8

y = 8

8. GK = GZ + ZK

Therefore; GK = 7·y + 21 + 6·x - 16

GK = 7 × 8 + 21 + 6 × 13 - 16 = 139

GK = 139

9. GZ = 7·y + 21 = 7 × 8 + 21 = 77

GZ = 77

10. ZL = 4·x + 10

Therefore; ZL = 4 × 13 + 10 = 62

ZL = 62

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Answer:

they are all false

Step-by-step explanation: