A and B are supplementary. A is 20 less than three times the measure of B. What are the measures of A and B?

the work that you're required to do has to contain all three requirements in order to earn the maximum number of points, and it also has to be creative (meaning no copying other people's work)

The total number of ways to achieve a Straight is 10,240.

The total number of ways to achieve a Flush is 5148.

The total number of ways to achieve a Full House is 312.

The total number of ways to achieve a Straight Flush is 40.

What is number of ways?

The term "number of ways" refers to the total count of possible arrangements or combinations of a set of objects or events. It is often used in combinatorics, which is the branch of mathematics concerned with counting and arranging objects.

a) A Straight: There are 10 possible sequences of 5 cards of sequential rank (e.g., 2, 3, 4, 5, 6 or 10, J, Q, K, A), and for each sequence, there are \(4^5\) = 1024 ways to choose the suits of the cards. Therefore, the total number of ways to achieve a Straight is 10 * 1024 = 10,240.

b) A Flush: There are 4 suits in the deck, and for each suit, there are (13 choose 5) ways to choose 5 cards of that suit. Therefore, the total number of ways to achieve a Flush is 4 * (13 choose 5) = 5148.

c) A Full House: There are 13 ranks in the deck, and for the 3 cards of one rank, there are (4 choose 3) = 4 ways to choose the suits, and for the 2 cards of another rank, there are (4 choose 2) = 6 ways to choose the suits. Therefore, the total number of ways to achieve a Full House is 13 * 4 * 6 = 312.

d) A Straight Flush: There are 10 possible sequences of 5 cards of sequential rank (as in part a)), and for each sequence, there are 4 ways to choose the suit of the cards. Therefore, the total number of ways to achieve a Straight Flush is 10 * 4 = 40.

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Answer:

what questions???

Step-by-step explanation:

Given parabolic equation: f(x) = -2x² - 14x + 8

To find the vertex, we need to know the vertex formula, which is given by;

Vertex Formula: x = -b/2a

In the given equation, a = -2, b = -14

Vertex Formula: x = -b/2a = -(-14)/2(-2) = -14/-4 = 7/2

Substituting x = 7/2 in the given equation;

f(7/2) = -2(7/2)² - 14(7/2) + 8f(7/2)

= -2(49/4) - 98/2 + 8f(7/2)

= -98/2 - 196/4 + 8f(7/2)

= -98/2 - 49 + 8f(7/2)

= -49 - 49f(7/2)

= -98

Hence, the vertex is (7/2, -98)To find the y-intercept, we let x = 0 in the equation

f(x) = -2x² - 14x + 8f(0)

= -2(0)² - 14(0) + 8f(0)

= 8

Answer:A) The vertex: (7/2, -98)

B) The vertical intercept is the point (0, 8)C) The coordinates of the two x-intercepts of the parabola are (-0.79, 0) and (-6.21, 0).

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The measure of arc angle HLK is determined as 84 ⁰.

The measure of angle subtended by the arc HK is calculated by applying the following formula.

Based on the angle of intersecting chord theorem, we will have the following equation.

m∠HMK = ¹/₂( HLK + JI )

Substitute the given values and solve for x;

10x - 22 = ¹/₂ (5x + 9  +  11x + 7 )

2 (10x - 22) = 16x + 16

20x - 44 = 16x + 16

20x - 16x = 44 + 16

4x = 60

x = 60/4

x = 15

The measure of arc angle HLK is calculated as follows;

mHLK = 5x + 9

mHLK = 5(15) + 9

mHLK = 84 ⁰

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Answer:  \(C=31.4\)

Step-by-step explanation: When you are finding the circumference of a circle you use the formula

\(C=2\pi r\)

\(C=2*3.14 *5\)

\(C=31.4\)

"Every linear transformation is a matrix transformation." This is false. Not all linear transformations are matrix transformations, even if all matrix transformations are linear transformations.

A point, line, or geometric object can be changed in four different ways that are all referred to as transformations. The Pre-Image refers to the object's initial shape, and the Image, after transformation, refers to the object's ultimate shape and location.

Bring out the pattern blocks, tangrams, and geoboards for another low-prep, high-engagement method of teaching geometric transformations. Students can produce an original design and then hand it off to a partner so that they can add a reflection, rotation, or translation to it.

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An equation is formed of two equal expressions. The equation 7*e^0.1t=47 can be expressed as t=[ln (47/7)]/0.1.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation 7*e^0.1t=47 in terms of logarithm in terms of base-e can be solved as,

\(7e^{0.1t}=47\\\\e^{0.1t}=\dfrac{47}{7}\\\\0.1 t = {\rm ln}(\dfrac{47}{7})\\\\t = \dfrac{ {\rm ln}(\frac{47}{7})}{0.1}\)

Hence, the equation 7*e^0.1t=47 can be expressed as t=[ln (47/7)]/0.1.

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Curing is a process that involves controlling the rate and extent of moisture loss during cement hydration. It is essential for the development of strength and durability in concrete structures. By maintaining the right moisture content, temperature, and protection against rapid drying, curing allows the concrete to reach its full potential.

The curing of concrete is a crucial process that helps control the rate and extent of moisture loss during cement hydration. This process is important because it ensures that the concrete gains strength and durability over time. The process follows:

1. Immediately after pouring the concrete, it is essential to protect it from drying out too quickly. This can be done by covering it with a plastic sheet or applying a curing compound. By preventing rapid moisture loss, the curing process allows the concrete to hydrate properly and develop its strength.

2. The duration of the curing process is typically around 7 to 28 days, depending on the type of cement used and the desired strength of the concrete. During this time, it is important to keep the concrete moist to support the ongoing hydration process.

3. One common method of curing is to continuously wet the concrete surface by sprinkling it with water or by using moist burlap or mats. This helps maintain the required moisture content for proper hydration.

4. Another method of curing is through the use of curing compounds. These compounds are liquid coatings that are applied to the concrete surface. They form a barrier that prevents moisture from evaporating, thus promoting the proper curing of the concrete.

5. Curing can also be aided by controlling the temperature of the concrete. High temperatures can accelerate the hydration process but can also lead to excessive moisture loss. On the other hand, low temperatures can slow down hydration. Therefore, maintaining an optimal temperature range is important for effective curing.

6. It's worth noting that proper curing is crucial for achieving the desired strength, durability, and resistance to cracking in concrete structures. Insufficient curing can lead to weakened concrete and an increased risk of cracking.

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Answer: 468.75

is ya answer

i think

sorry if im wrong

Answer:

468.75

Step-by-step explanation:

First we need to add 25% to 500.00 which is 625.

Next we need to subtract 25% from 625.

Now we have 468.75.

The selling price of the couch is $468.75.

Answer:

Subtract four to get the next term.

Step-by-step explanation:

66 - 4 = 62

62 - 4 = 58

58 - 4 = 54

54 - 4 = 50

50 - 4 = 46

46 - 4 = 42

42 - 4 = 38

Answer:

B

Step-by-step explanation:

Subtract 4

Answer:

a = \(\frac{1}{2}\) , b = 5, and  \(\frac{2b}{a}\) = 20

Step-by-step explanation:

f(x) = - x² + b, x ≤ 0     You would use this equation for f(-2). Since -2 is less than 0.

f(x) = - x² + b, x ≤ 0   ← You can ignore the x ≤ 0 part.

f(-2) = - (-2)² + b         Input the value -2 as x. The question states that f(-2) =1.

1 = - (-2)² + b              So switch f(-2) with 1 on the left side only.

1 = - (4) + b                Simplify. Do the exponents first, so (-2)² = 4.

1 = - 4 + b

+4  +4                      Do inverse operations

5 = b

Next,

f(x) = 2ax +3, x > 0      You would use his equation for f(2). Since 2 is greater than 0.

f(x) = 2ax +3, x > 0   ← You can ignore the x > 0 part.

f(2) = 2a(2) + 3             Input the value 2 as x.

f(2) = 4a +3           Simplify. The equation states f(2) = 5. So switch f(2) with 5

5 = 4a +3              on the left side only.

-3        - 3                     Do inverse operations

2 = 4a                          

\(\frac{2}{4}\) = \(\frac{4a}{4}\)                           Divide 4 on both sides to isolate the variable a

\(\frac{2}{4}\) = a                            Simplify

\(\frac{1}{2}\) = a

Then,

The second part says to find \(\frac{2b}{a}\)

\(\frac{2b}{a}\)

\(\frac{2(5)}{(\frac{1}{2}) }\)                  Input both the values of a and b

\(\frac{10}{\frac{1}{2} }\)                    Simplify

20.

The answer for a is \(\frac{1}{2}\), the answer for b is 5, and the answer for \(\frac{2b}{a}\) is 20.

The two outliers in the scatter plot below are the points with shoe size 5 and shoe size 12.

These outliers are likely due to the fact that the data set includes people of all ages, and shoe size is not a linear function of height. For example, a 5-year-old child is likely to have a shoe size of 5, even though they are much shorter than an adult with a shoe size of 5. Similarly, an adult with a shoe size of 12 is likely to be much taller than a child with a shoe size of 12.

In order to get a more accurate representation of the relationship between height and shoe size, it would be necessary to remove the outliers and only consider data from people of similar ages.

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In the table that shows the  the length, in inches, of fish in a pond, there are no outlier. Last option

In mathematics, an outlier is a value that is significantly different from the other values in a dataset. Outliers can be caused by measurement error, data entry errors or by extreme values that are genuinely different from the bulk of the data. They can skew the overall picture of the data and can affect the results of statistical analyses.

Outliers can be identified in several ways, one way is to use a box-and-whisker plot, which shows the distribution of a dataset by displaying the minimum, first quartile, median, third quartile, and maximum values.

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Answer: D

Step-by-step explanation:

I got it right on the test

False - A test statistic with a larger absolute value is less likely by chance alone with a T distribution.

False - When comparing a T distribution to a Z distribution, a test statistic with a larger absolute value is less likely by chance alone with a T distribution.

The T distribution has heavier tails compared to the Z distribution, meaning it has more probability in the tails and less in the center. As a result, extreme values or larger absolute values of the test statistic are less likely to occur by chance alone in a T distribution compared to a Z distribution.

The T distribution is typically used when dealing with smaller sample sizes and when the population standard deviation is unknown and estimated from the sample. In such cases, the T distribution accounts for the added uncertainty associated with smaller sample sizes, resulting in a more conservative approach when evaluating the likelihood of extreme test statistics.

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Step-by-step explanation:

32,538÷10⁴=

32,538÷10⁴=10⁴=10000

32,538÷10⁴=10⁴=1000032.538÷10000

32,538÷10⁴=10⁴=1000032.538÷100000.0032538

Answer:

\(3 < x < 5\)

Step-by-step explanation:

Given inequality:

\(|2x - 8| < 2\)

\(\textsf{Apply absolute rule}: \quad \textsf{If }|u| < a\:\textsf{ when } \: a > 0,\: \textsf{then }-a < u < a\)

\(\implies u=2x-8\: \textsf{ and }\:a=2\)

\(\implies -2 < 2x-8 < 2\)

Therefore:

\(\implies -2 < 2x-8\)

\(\implies 6 < 2x\)

\(\implies 3 < x\)

And:

\(\implies 2x-8 < 2\)

\(\implies 2x < 10\)

\(\implies x < 5\)

Merge the overlapping intervals:  \(3 < x < 5\)

Proof

Graph:  \(y=|2x-8|\)

Add a line at  \(y=2\)

The interval that satisfies  \(|2x - 8| < 2\)  is the area under the points of intersection (shaded area on the attached graph).

The values of x when \(y=|2x-8|\) is less than 2 is more than x = 3 and less than x = 5.

So

Case-1

Case-2

So solution is

Answer:

B

Step-by-step explanation:

4 would be negative (or less than), and 2 times a number is the 2n

Answer            

It's b, but i need extra characters to add this answer rip so ignore this part                                        

Answer:

The derivative of the function is:

\(f'(x)=1-\frac{1}{x^{2}}\)

Step-by-step explanation:

The first principle is given by:

\(f'(x)=\frac{dy}{dx}=lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}\)

The function here is:

\(f(x)=x+\frac{1}{x}\)

Now, using the first principle we have:

\(f'(x)=lim_{h\rightarrow 0}\frac{(x+h)+\frac{1}{(x+h)}-x-\frac{1}{x}}{h}\)  

\(=lim_{h\rightarrow 0}\frac{h+\frac{1}{(x+h)}-\frac{1}{x}}{h}\)    

\(=lim_{h\rightarrow 0}\frac{h-\frac{h}{x(x+h)}}{h}\)    

\(=lim_{h\rightarrow 0}\frac{h(1-\frac{1}{x(x+h)})}{h}\)

\(=lim_{h\rightarrow 0}1-\frac{1}{x(x+h)}\)

\(=1-\frac{1}{x^{2}}\)

Therefore, the derivative of the function is:

\(f'(x)=1-\frac{1}{x^{2}}\)

I hope it helps you!  

Answer:

(8+-4)(6+-2)(5+-1)

Step-by-step explanation:

i.) 8+(-4)

8-4=4

ii) 6+(-2)

   6-2=4

iii) 5+(-1)

    5-1 = 4

HOPE THIS HELPS

Answer:

(8+-4)(6+-2)(5+-1)

Step-by-step explanation:

Answer:

The last one  5(2x + 3)

Step-by-step explanation:

5 × 2x = 10x

5 × 3 = 15

10x + 15

Answer:

under

Step-by-step explanation:

change the underminator, we have

7×(x-2)-4×(3x+5)=-3×7×4

7x-14-12x-20=-84

-5x=-50

x=10

Answer:

5/4 divided by 36?

= 5/144

Answer:

let ratios be (x)

5x+4x=36

9x=36

9x=36

x=4

Step-by-step explanation:

A coin toss determines the first possession of each NFL game.  This process deterministic not random event because the initial coin flip only determines whether a team receives the ball now at start of the first or third quarter.

Possession in football refers to a team keeping possession of the ball for as longer as possible in order to create opportunities for goals and prevent this same opposition from posing a threat to the team's goal.

Some key features regarding the first possession in NFL game are-

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Answer: 64%

Step-by-step explanation:

The score you have entered means that the individual who took the test is at the sixty-fourth percentile – their percentile rank is 64%. This means that the student had a test score greater than or equal to 64% of the reference population. Conversely, 36% of students scored equal to or higher than the individual tested.

Answer:

the formula for the area of a triangle is a= b*h/2

Step-by-step explanation:

area= base* height divided by two.

if a triangles base was 5 height was 4 the area would be 10units

5*4=20

20/2=10

I used a random example as the specific example was not listed in the question.

Answer:

In explanation below.

Step-by-step explanation:

Presumably, the proof you have in mind is to use a=b=2–√a=b=2 if 2–√2√22 is rational, and otherwise use a=2–√2√a=22 and b=2–√b=2. The non-constructivity here is that, unless you know some deeper number theory than just irrationality of 2–√2, you won't know which of the two cases in the proof actually occurs, so you won't be able to give aa explicitly, say by writing a decimal approximation.

Answer:

47,174,400 possible number plates

See important note at the bottom of the explanation

Step-by-step explanation:

The easiest way to handle a problem of this type is to note the following

There are 9 digits 1-9 that we can use for the first four characters of the license plate

So the number of ways to arrange the first 4 digits without repetition is
9  x 8 x 7 x 6 = 3024 possible ways

For the letters, assuming that we are using the English alphabet, the 5th spot where the first letter after the numbers is can be done in 26 possible ways since there are 26 alphabets.

For the second letter that will leave us with 25 possibilities

For the third and final spot there are 24 possibilities

This means that, without repetition, the letters can be arranged in 26 x 25 x 24 ways = 15,600 ways

Together we can arrange the digits and letters in 3024 x 15600 ways which works out to
3024 x 15600 = 47,174,400 ways or possible number  plates

Or we could simply write this in one step as

9 x 8 x 7 x 6 x 26 x 25 x 24 = 47,174,400 ways or possible number  plates

Note

Even though there are 10 digits 0 - 9, the question clearly states that we should choose from digits 1 through 9 only.

If we are allowed to use all 10 digits the first 4 digits can be put together in 10 x 9 x 8 x 7 = 78,624,000 ways

You should clarify this with your teacher.