Give the exact value of the expression without using a calculator. cos (tan-1 (-15) + tan COS stan ¹-15) + tan-¹(-)) = (Simplify your answer, including any radicals. Use integers or fractions for an

If a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two

When a categorical variable that has n categories is to be included as an independent variable in a linear regression analysis, it must be converted to n - 1 dummy variables. The reason for this is that including all n categories as dummy variables would cause perfect multicollinearity in the regression analysis, making it impossible to estimate the effect of each variable.In this case, the set of categories {Red, Blue, Green, Yellow} has four categories. As a result, n - 1 = 3 dummy variables are required to represent this variable in a linear regression. This is true since each category is exclusive of the others, and we cannot assume that there is an inherent order to the categories.The dummy variable for the first category is included in the regression model by default, and the remaining n - 1 categories are represented by n - 1 dummy variables. As a result, the number of dummy variables that are required to represent the categorical variable in the regression model is n - 1.

Thus, if a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two .

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Images that are reflected are mirror images of each other. The coordinate D reflected over the y-axis will give (0, 1).

Images that are reflected are mirror images of each other.

The reflection rule of a coordinate (x, y) over the y-axis is given as:

(x, y) - > (-x, y)

Given the coordinate CD expressed as C(-5, -5) and D(0,1), the coordinate D reflected over the y-axis will give (0, 1).

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Answer:

(0, 1)

Step-by-step explanation:

Answer:

I am pretty sure the answer is A. I really hope this helps

Step-by-step explanation:

I dont have time to explain it im sorry my next class starts in 3 mins

Answer:A

Step-by-step explanation:

The number of people who liked both milk and curd is 500.

Here's how you can calculate it:

- The number of people who liked only milk is 720.

- The number of people who liked only curd is 880.

- The number of people who did not like either milk or curd is 400.

- Let x be the number of people who liked both milk and curd.

- We can use the formula: Total = Group 1 + Group 2 - Both + Neither.

- Substituting the values, we get: 2500 = 720 + 880 - x + 400.

- Solving for x, we get: x = 500.

- Therefore, 500 people liked both milk and curd.

The number of people who liked at least one of the drinks is 2100.

Here's how you can calculate it:

- The number of people who liked only milk is 720.

- The number of people who liked only curd is 880.

- The number of people who liked both milk and curd is 500.

- Therefore, the total number of people who liked at least one of the drink is: 720 + 880 + 500 = 2100.

Answer:

liked both milks: 900

liked at least 1: 2100

Step-by-step explanation:

there are 2500 people

ONLY LIKE 1 type- 1600 people

400 don't like milk

2500-1600=900

2500-400=2100

Answer:

Angle 1 and angle 2

x=9

Step-by-step explanation:

The angle pair is complementary since it makes a right angle, so you could technically name it anything like angle 1 and angle 2. You make the equation 4x+8+5x+1=90. Then, you combine like terms and get 9x+9=90. Then, subtract the 9 from 90, 81. 9x=81. Then, divide the 9 from 81. X=9.

Answer:

B

Step-by-step explanation:

\( \frac{2 - ( - 2)}{2} = 2\)

maximum distance minus the minimum distance then divide everything by 2

:)

Answer:

9/4 ÷ 7/2

9/4 × 2/7

9/14

plßssssssssssss mark me brianliest

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The equivalent expression is ~

\( \boxed{ \frac{9}{14} }\)

\( \huge \boxed{ \mathfrak{Explanation}}\)

It is true that you are required to keep a Driving Log and record a minimum of 60 hours of driving time, while on level 1

There are 5 requirements a driver must fulfil before progressing to level 2 of learner permit.

One of these requirements is that the driver must spend at least 60 hours driving.

This means that the minimum driving time is 60 hours

Hence, the statement is true

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The exact values of the remaining trigonometric functions are listed below:

Case 3: cos θ = 3 / 5, tan θ = 4 / 3, cot θ = 3 / 4, sec θ = 5 / 3, csc θ = 5 / 4

Case 4: sin θ = √11 / 6, tan θ = √11 / 5, cot θ = 5√11 / 5, sec θ = 6 / 5, csc θ = 6√11 / 11

Case 5: cos θ = 8√73 / 73, sin θ = 3√73 / 73, tan θ = 3 / 8, cot θ = 8 / 3, csc θ = √73 / 3

Case 6: sin θ = 1 / 2, cos θ = √3 / 2, tan θ = √3 / 3, sec θ = 2√3 / 3, csc θ = 2

In this problem we find four cases of trigonometric functions, whose exact values of remaining trigonometric functions must be found. The trigonometric functions are defined below:

sin θ = y / √(x² + y²)

cos θ = x / √(x² + y²)

tan θ = y / x

cot θ = x / y

sec θ = √(x² + y²) / x

csc θ = √(x² + y²) / y

Now we proceed to determine the exact values of the trigonometric functions:

Case 3: y = 4, √(x² + y²) = 5

x = √(5² - 4²)

x = 3

cos θ = 3 / 5

tan θ = 4 / 3

cot θ = 3 / 4

sec θ = 5 / 3

csc θ = 5 / 4

Case 4: x = 5, √(x² + y²) = 6

y = √(6² - 5²)

y = √11

sin θ = √11 / 6

tan θ = √11 / 5

cot θ = 5√11 / 5

sec θ = 6 / 5

csc θ = 6√11 / 11

Case 5: x = 8, √(x² + y²) = √73

y = √(73 - 8²)

y = 3

cos θ = 8√73 / 73

sin θ = 3√73 / 73

tan θ = 3 / 8

cot θ = 8 / 3

csc θ = √73 / 3

Case 6: x = √3, y = 1

sin θ = 1 / 2

cos θ = √3 / 2

tan θ = √3 / 3

sec θ = 2√3 / 3

csc θ = 2

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Answer: I think the answer is 3

Step-by-step explanation: I Divided 12 by 4 and got the answer 3

Answer:

Answer is 3

Step-by-step explanation:

According to the question,

j = 12

So

j / 4 = 12 / 4 = 3

Pls mark my answer as Brainliest

Answer:

Step-by-step explanation:

answer is d!

Answer:

very confusing but i'm guessing the glide reflection on triangle DEF

Step-by-step explanation:

1/2 = 4+D/ xy 7*

The observation is located to the left of the mean by a distance of 1.2 standard deviations.

The z-score of an observation represents the number of standard deviations the observation is away from the mean.

If the z-score for a particular observation is z = -1.2, this means that the observation is 1.2 standard deviations below the mean.

If the mean is represented by μ and the standard deviation by σ, then we can express this observation as:

observation = μ + (z * σ)

observation = μ + (-1.2 * σ)

This means that the observation is located to the left of the mean by a distance of 1.2 standard deviations.

For example, The z-score represents the number of standard deviations an observation is above or below the mean of the distribution.

In this case, a z-score of -1.2 indicates that the observation is 1.2 standard deviations below the mean height of the group.

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The new coordinates of triangle RST after the rotation are R'(8, 8), S'(3, 8), and T'(8, -2).

A rotation involves rotating the figure through a certain angle around the center of rotation, which is usually denoted by the letter 'O'. The angle of rotation can be measured in degrees or radians.

In a two-dimensional space, the direction of the rotation can be either clockwise or counterclockwise. A clockwise rotation is in the direction opposite to the hands of a clock, while a counterclockwise rotation is in the same direction as the hands of a clock.

The image produced by a rotation is a transformed figure that is congruent to the original figure. This means that the two figures have the same shape and size, but may be positioned differently in space.

To graph the image of triangle RST after a rotation of 270° counterclockwise around the origin, we need to find the new coordinates of each vertex using the rotation formula:

x' = x cosθ - y sinθ

y' = x sinθ + y cosθ

where (x, y) are the original coordinates of a vertex, (x', y') are the new coordinates after rotation, and θ is the angle of rotation (270° counterclockwise in this case).

Using this formula, we get:

R' = (8 cos270° - (-8) sin270°, 8 sin270° + (-8) cos270°) = (8, 8)

S' = (8 cos270° - (-3) sin270°, 8 sin270° + (-3) cos270°) = (3, 8)

T' = (2 cos270° - (-8) sin270°, 2 sin270° + (-8) cos270°) = (8, -2)

Therefore, the new coordinates of triangle RST after the rotation are R'(8, 8), S'(3, 8), and T'(8, -2). The graph of the rotated triangle would look like:

       T'(8, -2)

          /\

        /     \

      /         \

 S'(3, 8)   R'(8, 8)

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Answer:

x=5

y=2

w= -5

Step-by-step explanation:

We have that the two matrix are equal, so all corresponding elements are equal.

X-Y=3

From the second row and second column, we have y=2

so x-2=3

x=5

From the third row and the first column, we have w= - 5

Corrected Question

Determine the values of a, b and c that make each equation true.

\((x^a)^6=\dfrac{1}{x^{30}} \\\\(x^{-7})^{-4}=x^b\\\\(x^{-2})^c=x^{22}\)

Answer:

Step-by-step explanation:

To solve for a,b and c, we apply the following laws of indices

\(\dfrac{1}{p^m}=p^{-m} \\\\(a^m)^n=a^{m X n}\\\\$If p^m=p^n,$ then m=n\)

Therefore :

Part 1

\((x^a)^6=\dfrac{1}{x^{30}}\\\\x^{a*6}=x^{-30}\\6a=-30\\$Divide both sides by 6\\a=-5\)

Part 2

To solve for b

\((x^{-7})^{-4}=x^b\\x^{-7*-4}=x^b\\x^{28}=x^b\\$Since they have the same base\\b=28\)

Part 3

To solve for c

\((x^{-2})^c=x^{22}\\x^{-2*c}=x^{22}\\$Just as in part 2, the two sides of the equality have the same base, therefore:\\-2c=22\\Divide both sides by -2\\c=-11\)

Answer:

36

Step-by-step explanation:

A dentist bought 9 bags of prizes for his patients.

Each of the bags has 12 prizes

The first step is to calculate the total number of prizes

= 9 × 12

= 108 prizes

Since the prizes will be shared equally in 3 boxes then the number of prizes in each box can be calculated as follows

= 108/3

= 36

Hence the number of prizes in each of the 3 boxes is 36

=======================================================

Explanation:

The general form of an exponential function is

y = a*b^x

where 'a' is the initial starting amount and b helps determine if we have exponential decay or exponential growth, and how much of it.

We have a = 330 as the initial amount. Since b = 1.06 is larger than 1, this means we have exponential growth. If 0 < b < 1, then we would have exponential decay.

Solving 1+r = 1.06 leads to r = 0.06 = 6%, showing we have a growth rate of 6%

This means that if we started with say 100 people, and the population grew by 6%, then at the end of the time unit (say 1 year), then we'd have 106 people.

Answer:

d. $28.70

Step-by-step explanation:

first you divide 126 by 9 and you get 14 then you times 14 by 2.05 and you come out with a total 28.70

Answer:

x = 9

Step-by-step explanation:

Formula

The secant and tangent lines bear the following relationship

(tangent line )^2 = the outside secant line * length of the whole line

Givens

tangent line = 15

outside secant line = x

length of whole secant line = x + 16

Solution

15^2 = x ( x + 16)

15^2 = x^2 + 16x

225 = x^2 + 16x

x^2 + 16x - 225 = 0

Answer and Discussion

The equation has two factors.

(x - 9)(x + 25) =0

x + 25 has no meaning. There cannot be a negative length in this level of geometry.

The answer is x - 9 = 0

x = 9

Answer:

In this section we will discuss the method of graphing an equation in two variables. In other words, we will sketch a picture of an equation in two variables.

Step-by-step explanation:

Daniel owns 23/36 of the shop

How to solve fractions?

By merging the numerators, add fractions with the same denominator. They must all have the same denominator in order to be added. If they do, just combine the numerators. [2]X

As an illustration, to solve 5/9 + 1/9, simply add 5 and 1, which gives you 6. The solution is 6/9, which may be further broken down to 2/3.

Subtract the numerators to subtract fractions with the same denominator. Fractions must have the same denominator in order to be subtracted, just as they would if you were adding them. The solution is as simple as subtracting the smaller numerator from the bigger numerator.

For instance, all you have to do to solve 6/8 - 2/8 is subtract 2 from 6. 4/8, which can be simplified to 1/2, is the solution.

Marc own 1/9

Steven own 1/4

so we know that the total sum should be 1

therefore Marc + Steven +  Daniel = 1

1/9 +1/4 + Daniel = 1

Daniel =1- 1/9- 1/4

Daniel =1-13/36

Daniel  =23/36

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Answer:

1 quart = 0.945 liter

1 liter = 1.058 quarts

Step-by-step explanation:

Given that One quart of milk is about 945 millimeters of milk

1 quart = 945 millimeters

Recall that

1000 millimeters = 1 liter

Hence to compare a quart and a liter

945 millimeters = 945/1000 liter

= 0.945 liter

Hence

1 quart = 0.945 liter

Divide both sides by 0.945

1 liter = 1/0.945 quart

1 liter = 1.058 quart

Answer:35

Step-by-step explanation:

The volume of a cylinder is calculated by multiplying the area of its base by its height. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height.

The volume of a cone is calculated by multiplying the area of its base by its height and then dividing by 3. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.

Since Sonequa’s two containers have equal radii and equal heights, it can be concluded that the volume of the cylinder is three times the volume of the cone. This means that if Sonequa fills the cone with water and pours it into the cylinder, she will need to repeat this process three times to fill the cylinder completely.

So, the claim that is most likely to be supported using the result of Sonequa’s investigation is: “The volume of a cylinder with the same radius and height as a cone is three times greater than the volume of the cone.”

Answer:

Since Q is a center of gravity, we can apply these formulas

The property of real numbers illustrated by the equation 21 + 19.7 - 19.7 = 21 is the additive identity property.

The additive identity property states that the sum of any number and zero is equal to the original number. In the given equation, the number 21 is added to 19.7 and then subtracted by 19.7. The result is equal to 21, which is the original number.

In this case, the number 0 acts as the additive identity. When we add or subtract zero to any number, it doesn't change the value of the original number. So, in the equation, the subtraction of 19.7 and addition of 19.7 cancel each other out, leaving the original number 21.

Thus, the equation 21 + 19.7 - 19.7 = 21 illustrates the additive identity property, showing that adding or subtracting zero does not change the value of a number.

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The result of dividing \(x^4-11x^3+26x^2+10x+28\) by x-7 using synthetic division is \(x^3-4x^2-2x+8\) with a remainder of -56.

To use synthetic division, we first write the coefficients of the polynomial in order and set up the division as follows:

7 | 1 -11 26 10 28

Next, we bring down the first coefficient, which is 1, and then multiply it by 7 to get 7. We add this to the next coefficient, which is -11, to get -4. We then multiply -4 by 7 to get -28, and add this to the next coefficient, which is 26, to get -2. We repeat this process with the remaining coefficients to get the final result:

1 -11 26 10 28
|     7 -28 -2 -84
-----------------
1 -4 -2 8 -56

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Answer:

-2/5 this is the answer to 6^2x+2•6^3x=1