In Figure 1.1, what is the measure of e? (Explain)

The image of the figure using the 90 degrees counterclockwise rotation is the graph (a)

The given figure is represented by the image in the attachment 2

From the attachment, we can see that:

Figure = triangle

The coordinates of the triangle are given as

W (-2, -2), X (-5, -3) and V(-2, -4)

The transformation is given as

90 degrees counterclockwise rotation

The rule of the 90 degrees counterclockwise rotation is

(x,y) becomes (-y,x)

When this is applied to the coordinates, we have

W' (2, -2), X (3, -5) and V(4, -2)

The graph represented by this is the graph (a)

Hence, the image of the figure after the transformation is (a)

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The provided sequence is a recursive sequence and the next four terms of the sequence are 4, 6.5, 9, and 11.5.

To determine whether the provided sequence is recursive or explicit, we need to examine the relationship between the terms.

A recursive sequence is defined in terms of previous terms in the sequence, typically using a recurrence relation or formula.

In this case, the formula Aₙ = Aₙ₋₁ + 2.5 defines the nth term in terms of the previous term.

An explicit sequence, on the other hand, can be directly calculated using a formula that does not rely on previous terms.

The formula provides a direct expression for calculating any term of the sequence.

In the provided formula Aₙ = Aₙ₋₁ + 2.5, the current term Aₙ is defined in terms of the previous term Aₙ₋₁.

Therefore, this sequence is a recursive sequence.

Now let's compute the next four terms of the sequence using the provided initial term A₁ = 1.5:

Term 1 (A₁) = 1.5

Term 2 (A₂) = A₁ + 2.5 = 1.5 + 2.5 = 4

Term 3 (A₃) = A₂ + 2.5 = 4 + 2.5 = 6.5

Term 4 (A₄) = A₃ + 2.5 = 6.5 + 2.5 = 9

Term 5 (A₅) = A₄ + 2.5 = 9 + 2.5 = 11.5

Therefore, the next four terms of the sequence are 4, 6.5, 9, and 11.5.

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The values of the inverse functions are f-¹ (3) = -1 and f-¹ (8) = 7

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

x   f(x)

-1   3

1     6

2    5

3    7

7   8

Using the above as a guide, we have the following:

f-¹ (x) means that we calculate the value of x from the table when y = x in the function notation

So, we have

f-¹ (3) = -1 and f-¹ (8) = 7

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Answer:.

....

Step-by-step explanation:

Answer:

Refer to the attached image.

Step-by-step explanation:

d. 32.6°

explanation:

tan(×)= 0.6396

tan(x)= 0.6396/1000

tan(×)= 1599/2500

(×)= arctan (1599/2500)

(×)≈ 0.569029 or 32.6°

Answer:

28.27

Step-by-step explanation:

Area of a circle A≈ πr2

3.14 x 3^2 ≈ 28.27

hello so the answer is 3147831740.3424

The correct option is B. 0.0043

The P-value for this hypothesis test is 0.0043.

With the aid of a statistical test, researchers weigh the evidence in favor of and against the null and alternate hypotheses, which are two opposing claims:

The impact of the independent on the dependent variable is often the effect.

In this one-tailed test, the null and alternate hypotheses are as follows:

H₀ : p₁ - p₂ = 0

Ha : p₁ - p₂ > 0

A size-2 vector containing the test statistic's value statistic and the P-value is the result of the proportions ztest method from statsmodels.

A P-value for such one-tailed test becomes 0.0043 if the result is (3.25, 0.0043).

Therefore, the P-value for null and alternative hypotheses test is 0.0043.

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The complete question is -

The null and alternative hypotheses for a hypothesis test of the difference in two population means are: Alternative Hypothesis: p1 > p2 Null Hypothesis: Hi = uz Notice that the alternative hypothesis is a one-tailed test. Suppose proportions_ztest method from statsmodels is used to perform the test and the output is (3.25, 0.043).

What is the P-value for this hypothesis test?

A. 0.00215

B. 0.0043

C. 3.25

D. -3.25

Answer: When dividing a polynomial by a monomial, we can simply divide each term in the polynomial by the monomial.

So, dividing (8zy² - 28z¹y5 + 12z³y7) by (4z¹y³) gives:

(8zy²)/(4z¹y³) - (28z¹y5)/(4z¹y³) + (12z³y7)/(4z¹y³)

Simplifying each term by canceling out any common factors gives:

2y^(-1)z^(1-1) - 7y^(5-3)z^(1-1) + 3y^(7-3)z^(3-1)

which simplifies to:

2yz^0 - 7y^2z + 3y^4z^2

Therefore, (8zy² - 28z¹y5 + 12z³y7) ÷ (4z¹y³) = 2yz^0 - 7y^2z + 3y^4z^2.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Let's eliminate the incorrect answers. C and D are incorrect, since anything to the power of 0 is equal to 1. A is incorrect, because -1 * -1 = 1 since the negatives cancel out. B is correct, because -1*-1*-1*-1*-1 has an odd number of negatives, and thus you are left with -1 instead of 1. Therefore, the answer is B.

Answer:

"No, because y does not change by 5 every time x changes by 1"

Step-by-step explanation:

It is easy to calculate the rate of change of a function when they give you a graph. Just locate yourself on one point on the line whose coordinates are easy to read (for example the point (0, -2) in this graph that is located on the y axis 2 units below the origin of coordinates)

Recall that the rate of change tells you the "rise over the run". That is how many units (up or down) the function changes as you move to the right  certain number of units.

It is very simple to find that rate of change when we move one unit to the right. Notice that as you move from (0, -2) one unit to the right (to x=1), in order to find the y-value associated with it on the line, you need to go to the point (1, 2) which forces you to move as well 4 units up (from -2 to 2).

Therefore the rate of change here is 4/1 = 4, and not 5.

So the correct answer is the third option given in the list:

"No, because y does not change by 5 every time x changes by 1"

Answer:

500=D 100=M

Step-by-step explanation:

I hope that helps :D

Answer:

$74.34

Step-by-step explanation:

Answer:

$74.34

Step-by-step explanation:

59×1.2=70.80

sales tax doesn't apply to tip so 59×0.06= 3.54

70.80+3.54= 74.34

Answer:

Step-by-step explanation:

busca la respuesta en ingles y te daran ok girl loves

24/π is the average value of the function over the given interval.

Given,

Function, f(x) = 8 cos x

Function;-

Function is a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

We have to find the average value of the function over the given interval and all values of x in the interval for which the function equals its average value;

Here,

Integrate and then divide by the length of the path;

6/π ∫₀π/6 8 cos x dx

48/π ∫₀π/6 cos x dx

48/π sin x | π/6 0

48/π (sin π/6 - sin 0)

48/π (1/2 - 0)

48/π × 1/2

24/π

That is,

The average value of the function over the given interval is 24/π

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As per the unitary method, Yves bought 60 angelfish and 360 parrotfish for the museum display.

Let's start by assigning variables to the unknown quantities. Let's assume the number of angelfish Yves bought is 'x,' and the number of parrotfish he bought is 'y.' We are given two pieces of information: the total number of tropical fish Yves bought (420) and the fact that he bought 6 times as many parrotfish as angelfish.

Total number of tropical fish:

We know that Yves bought a total of 420 tropical fish. So, we can write the equation:

x + y = 420

Parrotfish to angelfish ratio:

The problem states that Yves bought 6 times as many parrotfish as angelfish. This can be expressed as:

y = 6x

Now, we have a system of two equations with two variables. We can solve this system using the unitary method.

Step 1: Solve the second equation for y:

y = 6x

Step 2: Substitute the value of y in the first equation:

x + 6x = 420

Simplifying the equation:

7x = 420

Step 3: Solve for x:

x = 420/7

x = 60

Step 4: Substitute the value of x back into the second equation to find y:

y = 6x

y = 6 * 60

y = 360

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Answer:

x = 14

Step-by-step explanation:

Vertical angles are congruent ( equal to each other )

If ∠A and ∠B are vertical angles

Then 5x + 2 = 6x - 12

                     ^ ( Note that we just created an equation that we can use to                                   solve for x )

The rest comes down to basic algebra

5x + 2 = 6x - 12

step 1 subtract 5x from each side

5x - 5x cancels out

6x - 5x = x

we now have 2 = x - 12

step 2 add 12 to each side

- 12 + 12 cancels out

2 + 12 = 14

we're left with x = 14

Means-end analysis is a method of problem-solving that is frequently employed.

A problem-solving heuristic is an informal, speculative method that occasionally results in a solution but not always. The consequences of using a heuristic are unpredictable, therefore the technique can either be more or less successful than using an algorithm.

Functional fixity is referred to be a cognitive bias. This indicates that when your brain is accustomed to thinking of a certain subject in a particular way, you are less likely to conceive of it in a novel or creative way. Your brain is so deeply imbedded with functional fixedness that it may be detected by imaging tests.

The definition of subproblems or subgoals is a common heuristic. Another often used heuristic is means-ends analysis, which involves figuring out how to close the gap between a goal and the actual reality. Using a means-ends analysis, you can break a problem down into smaller problems and address each one separately. Consequently, the means-end analysis method of issue solving is widely adopted.

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Means-end analysis is a method of problem-solving that is frequently employed.

What is meant by heuristic problem solving?
A problem-solving heuristic is an informal, speculative method that occasionally results in a solution but not always. The consequences of using a heuristic are unpredictable, therefore the technique can either be more or less successful than using an algorithm.

What is meant by functional fixedness?

Functional fixity is referred to be a cognitive bias. This indicates that when your brain is accustomed to thinking of a certain subject in a particular way, you are less likely to conceive of it in a novel or creative way. Your brain is so deeply imbedded with functional fixedness that it may be detected by imaging tests.

The definition of subproblems or subgoals is a common heuristic. Another often used heuristic is means-ends analysis, which involves figuring out how to close the gap between a goal and the actual reality. Using a means-ends analysis, you can break a problem down into smaller problems and address each one separately. Consequently, the means-end analysis method of issue solving is widely adopted.

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Answer:

85

Step-by-step explanation:

Angle Formed by Two Chords = 1/2 (sum of Intercepted Arcs)

< WSK = 1/2 ( 35+ 135)

           = 1/2 ( 170)

            =85

The angle of depression should be 26.57 degrees so the security camera should be directed downwards from the wall.

To find the angle of depression, we can use the tangent function. Let's call the angle of depression "θ". The tangent of an angle is equal to the opposite side (the difference in height between the camera and the spot) divided by the adjacent side (the horizontal distance between the camera and the spot). So, in this case:

tan(θ) = 6/12 = 1/2

Now that we have the tangent value, we can use the inverse tangent function (arctan) to find the actual angle:

θ = arctan(1/2)

Using a calculator, we can find that the angle of depression is approximately 26.57 degrees. So the security camera should be directed downward at an angle of 26.57 degrees to be directed at the spot 6 feet above the floor and 12 feet from the wall.

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Answer: 125

Step-by-step explanation: 5•5•5

When the variance of the error term increases in a simple linear regression model, it indicates a less accurate model with a high degree of uncertainty in its predictions.

Regression is a statistical method used to model the relationship between two variables, where one of the variables is dependent on the other.

Simple linear regression is a type of regression where the relationship between the dependent variable and the independent variable is modeled as a linear equation.

Mathematically, let's consider the simple linear regression equation as:

Y = β0 + β1X + ε

Where Y is the dependent variable, X is the independent variable, β0 and β1 are the coefficients of the regression equation, and ε is the error term.

The variance of the error term, Var(ε), is a measure of the spread of the residuals. A large variance of the error term indicates that the residuals are spread out over a large range, and thus, the regression model's predictions may not be very accurate.

In other words, a large variance of the error term means that the model has a high degree of uncertainty in its predictions, leading to a larger deviation between the actual and predicted values.

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The measure of angle IHJ is 180 - (90 + 36) = 54 degrees.

To find the measure of angle IHJ, we need to use the formula for the area of a sector of a circle:

Area of sector = (θ/360) x πr^2,

where θ is the central angle of the sector in degrees and r is the radius of the circle.

In this problem, we know that the area of the shaded sector is 40π, and we can find the radius of circle H by using the formula for the area of a circle:

Area of circle = πr^2,

which gives us:

πr^2 = 100 (since hi = 10, r = hi)

r = 10/π (dividing both sides by π)

Now we can use the formula for the area of a sector to find the measure of angle IHJ:

40π = (θ/360) x π(10/π)^2

40π = (θ/360) x 100

θ/9 = 4

θ = 36

Therefore, the measure of angle IHJ is 180 - (90 + 36) = 54 degrees.

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Answer: The scale of a map represents the relationship between the distance on the map and the actual distance in the real world. To find the scale of a map, you can use the formula:

Scale = actual distance / distance on the map

In this case, the actual distance between the two cities is 24 miles, and the distance on the map is 4 1/2 inches. So, the scale of the map is:

Scale = 24 miles / 4 1/2 inches

If the scale on a different map of the same area is 1 inch = 1 mile, so the distance between the two cities in inches will be the same as the actual distance in miles.

So, the distance between the two cities on the new map will be 24 inches.

Step-by-step explanation:

Answer:

y = -2x + 9

Step-by-step explanation:

The general shape of the equation is y = ax + b, you just have to find a and b.

b is simple, it is the y coordinate where the line crosses the y axis, i.e., b=9.

a is the slope of the line. This is the change in y when you take one step to the right. The change is -2.

Hence y = -2x + 9

Answer:

(x, y) = (23, 4)

Step-by-step explanation:

2x - 5y = 26

x - 5y = 3 $\Rightarrow$ x = 3+5y

substituting the value of x ( second equation) into the first equation, we get, 2(3+5y) - 5y = 26. Simplifing, we get,

6+10y - 5y =26

5y = 20

y = 4

So, x = 3+5*4 = 3+20 = 23

Answer:

\(\left \{ {{x=23} \atop {y=4}} \right.\)

Step-by-step explanation:

\(\left \{ {{2x - 5y =26} \atop {x-5y=3}} \right.\)

you can add 5y to both sides of the second equation:

\(x = 5y + 3\)

Then, substitute:

\(2(5y + 3) - 5y = 26\)

use the distributive property on the left side:

\(10y + 6 - 5y = 26\)

\(5y + 6 = 26\)

subtract 6 from both sides

\(5y = 20\)

divide both sides by 5

\(y = 4\)

Substitute into original equation

\(x - 5y = 3 --> x - 5(4) = 3\\x - 20 = 3\\x = 23\)

The numerator for the given rational expression is 3 + 5k.

In the given rational expression, (3 + 5k) represents the numerator. The numerator is the part of the fraction that is located above the division line or the horizontal bar.

In this case, the expression 3 + 5k is the numerator because it is the sum of 3 and 5k. The term 3 is a constant, and 5k represents the product of 5 and k, which is a variable.

The numerator consists of the terms 3 and 5k, which are combined using addition (+). Therefore, the numerator can be written as 3 + 5k.

To clarify, the numerator is the value that contributes to the overall value of the fraction. In this case, it is the sum of 3 and 5k.

Hence, the correct answer for the numerator of the given rational expression (3 + 5k) / (74/k^2) is 3 + 5k.

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