If R(x) and S(x) are inverse functions, which statement must be true?
O A. R(x) R(x) = C
S(x)
O B. R(S(x))'= x
O C. R(S(x)) = 1
O D. R(x) = -S(x)

Answer:

\(\frac{\sqrt{3}}{2}\)

Step-by-step explanation:

Sine is positive in the second quadrant, so:

\(\sin \frac{240^{\circ}}{2}=\sqrt{\frac{1-\cos 240^{\circ}}{2}} \\ \\ =\sqrt{\frac{1.5}{2}} \\ \\ =\sqrt{3/4} \\ \\ =\frac{\sqrt{3}}{2}\)

hello, first we need to know what color represents each line segment.

Look at the figure: CD is represented in green, and C'D is represented in blue.

Now, let's look at the points of each one:

CD: (2,1) and (3(-4)

C'D': (-1,2) and (4,3)

To solve this question, we need to rotate the green line segment to the same position as the blue line segment.

So, if we rotate 90 degrees in the clockwise, we will have:

(-2, 1) and (-3, -4)

If we rotate 90 degrees in the counterclockwise, we will have:

(-1,2) and (4,3). This are the same points of the line segment C'D'

Answer:

8.59 minutes

9.the equation would be: t(h) =4.9t²-19.8t+58divided by 2

Answer:

160 square inches

Step-by-step explanation:

You can split the irregular figure up into regular shapes:

the top 4x6 inch rectangle

the middle section can be a 18x6 rectangle (added 7+11 for the length)

the bottom 4x7 rectangle (sibtracted 10-6 for the width)

Then, find the area of each section with the equation A = lw.

A= 4(6) = 24 square inches

A = 18(6) = 108 square inches

A = 4(7) = 28 square inches

Add these areas up to get the total area of the irregular figure.

24 + 108 + 28 = 160 square inches

Answer:

I think The choose C. 15

Step-by-step explanation:

wv=40

vG=20 =ST

PT=25

ST²+SP²=PT² —> 20²+SP²=25 —> 400+SP²=625

PS²=225 —> SP=15 in

I hope I helped you^_^

The value of SP is 15 inch.

The well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Given:

VW=40

VG=20 =ST

and, PT=25

Now, using pythagoras theorem

ST²+SP²=PT²

20²+SP²=25

400+SP²=625

PS²=225

SP=15 in

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Answer:

no

Step-by-step explanation:

5(-4)+3(-7)+2= -20-21+2=-39

Answer:

27.4 ft

Step-by-step explanation:

because only 27.4 small tree

Answer:

Answer is C 80 degrees

Step-by-step explanation:

The statement a base class cannot contain a pointer to one of its derived classes is false because a base class can indeed contain a pointer to one of its derived classes.

In object-oriented programming, a base class can have a pointer to one of its derived classes. This is known as upcasting or polymorphism. Upcasting allows for the flexibility of treating derived class objects as instances of the base class.

By using pointers, a base class can refer to derived class objects and access their member functions and variables. This enables the base class to work with different derived classes without needing to know their specific types.

Pointers to derived classes can be stored in base class member variables or passed as function parameters. This allows for dynamic binding and the ability to invoke overridden functions based on the actual derived class type at runtime.

This concept is fundamental to achieving polymorphism and code reusability in object-oriented programming languages like C++ and Java. It facilitates the implementation of inheritance hierarchies and the ability to work with objects of different derived classes through a common base class interface.

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Answer:

-8.

Step-by-step explanation:

There’s a minus near the 8, we change it to -8.

y=-8. Hope this helps.

    2                                                                                                                                       -6x  -x+15 remove the parennthesies collect like tearms and reoreder like terms then you get your answer

Answer:

D. 56

Step-by-step explanation:

8!/3!x5!= 56

Statistics indicate that 45% of all small businesses fail after three years. This is a concerning statistic for entrepreneurs who are considering starting their own business.

It is important for potential business owners to understand the reasons why small businesses fail and take steps to mitigate these risks. Some common reasons for failure include poor management, insufficient funding, lack of market demand, and competition.

One way to mitigate these risks is by having a solid business plan in place that includes a realistic assessment of the market, a clear understanding of the competition, and a plan for securing financing. Additionally, having a strong risk tolerance and the ability to adapt to changing market conditions can also increase the chances of success for small businesses.

Ultimately, the key to success for small businesses is a combination of careful planning, strong management, and a willingness to take calculated risks.

One of the contributing factors to this failure rate is the business owner's risk tolerance (3) B), which may lead them to take on more financial obligations than they can handle. Additionally, securing proper financing (4) D) is crucial for the success and growth of a small business, and a lack of adequate funding may contribute to the high failure rate.

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Answer:

Area of trapezium = 1/2 x sum of parallel sides x height

1/2 x (9x + 2x) x 14 = 184

11x x 7 = 184

11x = 184/7

11x = 26.28

x = 26.28/11

x= 2.38

The range of the function y = √(x +5)  is y ≥ 0

The domain of a function is the set of all possible values of x

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

we have

y = √(x +5)

Remember that the radicand of the function must be greater than or equal to zero

so (x +5) ≥ 0

solve for x

x ≥ -5

The domain is the interval ----> [-5,∞)

For x= -5

y = √(-5 +5) = 0

so

The range is the interval ----> [0,∞)

y ≥ 0

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The combined probability of all these independent events happening is 429/45144

The likelihood of event E is expressed as a ratio between the probability of its occurrence versus its non-occurrence, denoted as P(E)/P(E').

The odds ascribed to each person in the problem are stated as follows: 3/19, 14/27, 6/11, and 11/7.

The probability for each event E can be calculated as follows:

P(E1) = 3 / (3 + 19) = 3/22

P(E2) = 14 / (14 + 27) = 14/41

P(E3) = 6 / (6 + 11) = 6/17

P(E4) = 11 / (11 + 7) = 11/18

To compute this probability:

(3/22) * (14/41) * (6/17) * (11/18)

=P(E) = 429/45144

So, the combined probability of all these independent events happening is 429/45144

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The Complete Question

Compute the probability of event E if the odds in favor of E are 3/19 14/27 6/11 11/7 P(E) = (Type the probability as a fraction. Simplify your answer)

Answer:

Mikey had 5 cookies. His friend took 2 with him when he left. How many cookies does Mikey have left?

Step-by-step explanation:

Here, 5 would be the starting amount.

-2 would be the amount taken away.

3 would be our final answer.

To find the surface area of the figure, we need to consider the individual surfaces and add them together.

First, let's identify the surfaces of the figure:

The lateral surface area of the larger prism (excluding the base)

The two bases of the larger prism

The lateral surface area of the smaller prism (excluding the base)

The two bases of the smaller prism

The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.

The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.

To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.

Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.

Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.

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Answer: No real solutions

Step-by-step explanation: to solve for x and find a solution you need to take the square root of -144

This is not possible as this a negative number . There is a solution if we use complex numbers, but this not included in the question

The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

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Answer:

x = 16, y = 8\(\sqrt{3}\)

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = \(\frac{1}{2}\) , then

sin30° = \(\frac{opposite}{hypotenuse}\) = \(\frac{8}{x}\) = \(\frac{1}{2}\) ( cross- multiply )

x = 16

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

Using Pythagoras' identity in the right triangle

y² + 8² = 16²

y² + 64 = 256 ( subtract 64 from both sides )

y² = 192 ( take the square root of both sides )

y = \(\sqrt{192}\) = \(\sqrt{64(3)}\) = 8\(\sqrt{3}\)

The 20th percentile is 20,

The 25th percentile is 22.50.

The 65th percentile is 28.

The 75th percentile is 29.

Given values:

27, 25, 20, 15, 30, 34, 28, and 25.

n = 8

sorting the data gives:

15, 20, 25, 25, 27, 28, 30, and 34.

= 20/100 * 8

= 1.6 ≈ 2

1.6 is rounded to 2, the second value is in the sorted data set is 20 hence the 20th percentile is 20

= 25/100 * 8

= 2

Since 2 is an integer, the mean of the 2nd and the 3rd values in the sorted data set gives the 25th percentile.

( 20 + 25 ) / 2 = 22.5

hence the 25th percentile is 22.50

= 65/100 * 8

= 5.2 ≈ 6

5.6 is rounded to 6, the sixth value is in the sorted data set is 28 hence the 65th percentile is 28

= 75/100 * 8

= 6

Since 6 is an integer, the mean of the 6th and the 7th values in the sorted data set gives the 75th percentile.

( 28 + 30 ) / 2 = 29

hence the 75th percentile is 29

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Answer:

1,2,2,3,4,6,6  and  1,1,1,2,2,2,4

Step-by-step explanation:

Mode means the number that occurs the most often/frequent. If there are two numbers that occur the same amount of times with the highest frequency, there will be two modes. If all the numbers occur the same amount of times, there will be no mode.

1,2,3,4,5,6,7

Mode: no mode

1,3,3,3,3,5,6

Mode: 3

1,2,2,3,4,6,6

Mode: 2 and 6

1,5,6,6,6,7,8

Mode: 6

1,1,1,2,2,2,4

Mode: 1 and 4

1,2,2,2,2,3,4

Mode: 2

The answer is: 1,2,2,3,4,6,6  and  1,1,1,2,2,2,4

Hope this helps :)

Have a nice day!

Answer:

q

Step-by-step explanation:

lhfcgaosdhvasdouv

Answer: 12.4 + 1.1x + 2.2x^2 + 2.3x^3

Step-by-step explanation:

add the like variables

The statistical decision based on the reported results of the hypothesis test is that the null hypothesis was rejected at the α = .05 significance level.

The t-value reported is 2.38, and the degrees of freedom are 21. This suggests that the test was likely a t-test with an independent samples design, where the sample size was n = 22 (since df = n - 1).

The p-value reported is less than .05, which indicates that the probability of obtaining the observed results, or results more extreme, under the assumption that the null hypothesis is true, is less than .05. Therefore, the null hypothesis is rejected at the .05 significance level in favor of the alternative hypothesis.

In conclusion, the statistical decision is that there is sufficient evidence to suggest that the population means are not equal, and the sample size was 22. However, we do not have information about the direction of the effect (i.e., whether the difference was positive or negative).

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The correlation coefficient for the data given in the table is -0.9844

Given the values :

X :

0

1

2

2

3

4

5

5

6

Y:

12

9.5

9

8.5

8.5

6

5

5

3.5

x = (0+1+..+5+6)/9 = 3.1111

y = (12+9.5+..+5+3.5)/9 = 7.4444

Σ(xi - x)² = (0-3.11)²+(1-3.11)²+...+(5-3.11)²+(6-3.11)² = 32.8889

Σ(yi - y)² = (12-7.44)²+(9.5-7.44)²+..+(5-7.44)²+(3.5-7.44)² = 59.2222

Σ(xi - x)(yi - y) = (0-3.11)*(12-7.44)+(1-3.11)*(9.5-7.44)+ +(5-3.11)*(5-7.44)+(6-3.11)*(3.5-7.44) = -43.4444

\(S_{xy}\) = Σ(xi - x)(yi - y)/n - 1

\(S_{xy}\) = -43.4444/8 = -5.4306

r = Σ(xi - x)(yi - y)/√(Σ( xi - x)²Σ(yi - y)² )

r = -43.4444/√(32.8889*59.2222) = -0.9844

r = -0.9844

Using a correlation coefficient calculator, the coefficient obtained is -0.9844 which explains that the relationship between the variables is a strong but negative association.

Therefore, the correlation coefficient is -0.9844.

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Answer:

No, 81/20 or 4 1/20

Step-by-step explanation:

Step 1:

4.05 = 405%   Convert

Step 2:

405% = 405/100  Convert

Answer:

81/20 or 4 1/20    Simplify

Hope This Helps :)

Rhombus is a type of quadrilateral.

A rhombus is a type of quadrilateral, which means it is a four-sided polygon. What distinguishes a rhombus from other quadrilaterals is that it has four equal sides. Another important property of a rhombus is that its opposite sides are parallel and congruent. This makes the rhombus a type of parallelogram.

A rhombus also has two pairs of opposite angles that are congruent. In other words, if you draw a diagonal line from one vertex of the rhombus to another, you will create two congruent triangles. This property makes the rhombus a type of kite, which is another type of quadrilateral.

The diagonals of a rhombus bisect each other at right angles. This means that the diagonals divide the rhombus into four congruent right triangles. Moreover, the lengths of the diagonals of a rhombus are related by the Pythagorean theorem, which states that the sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of its hypotenuse.

Overall, a rhombus is a unique type of quadrilateral that has several interesting properties, including equal sides, parallel opposite sides, congruent opposite angles, and perpendicular diagonals. Its special properties make it useful in various fields of mathematics and engineering, such as geometry, trigonometry, and architecture.

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