The 3 answers are 2,4,8
a. 8 can be written as 2^3== (2^3)^1/3,
would be cancelled and answer is 2
b. (2^3)^(2/3), 3 is cancelled.
2^2= 4
c. 16 can be written as 2^4
(2^4^(3/4), 4 is cancelled,
2^3 = 8
1a. Explain why chess is not a static game of complete information?
Chess is not a static game of complete information for several reasons. Firstly, the game is dynamic, meaning that the position of the pieces on the board changes constantly throughout the game.
Unlike in games like Tic Tac Toe or Connect Four, the state of the game at any given point is not fixed, and there are a vast number of possible outcomes. This means that players cannot simply memorize the best moves and outcomes for every situation, as they would in a game of complete information.
Secondly, chess is a game of imperfect information, as both players do not know what moves their opponent will make. Even with a complete understanding of the game's rules, players cannot predict with certainty the moves of their opponent, and must instead make strategic decisions based on their best assessment of their opponent's likely choices.
Finally, chess is a game of hidden information, as players do not know what their opponent is thinking or planning. A player may be able to predict their opponent's next move, but cannot know for sure what their long-term strategy is, making it difficult to make optimal decisions.
Overall, chess is a highly dynamic and complex game that is not static or complete in terms of information. Players must make strategic decisions based on incomplete and uncertain information, making it a challenging and rewarding game for those who play it.
Chess is a strategic board game played between two players, with each player starting with 16 pieces on a 64-square board. The game has been around for centuries and is considered one of the most popular and complex games in the world.
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Instructions: Find the missing side. Round your answer to the nearest tenth.
Using the sine ratio, the length of the missing side is: 11.8.
How to Find Missing Side Using the Sine Ratio?The sine ratio is, sin ∅ = opposite/hypotenuse.
Given the following:
∅ = 24°
Opposite = x
Hypotenuse = 29
sin 24 = x/29
x = (sin 24)(29)
x = 11.8
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HELPPPPPPP PLEASEEEE
Answer:
19: x=5
20: x=13
21: y= 11
x= 11
Step-by-step explanation:
In the figure below, m || k. Find the values of x and z.
850
|(52 - 75)°
Z =
Answer:
z=33 x=90
Step-by-step explanation:
33 X 5 = 165 - 75 = 90 degress and x is a right angle so x is 90 degrees
En route at FL 290, your altimeter is set correctly, but you fail to reset it to the local altimeter setting of 30.26 in. Hg during descent. If the field elevation is 134 feet and your altimeter is functioning properly, what will it indicate after landing
Answer:
What should be the indication on the magnetic compass as you roll into a standard rate turn to the left turn from an east heading into the northern hemisphere?
Step-by-step explanation:
a library has 2500 books.40% of the books are fiction.How many books are not fiction books
A library has 2500 books.40% of the books are fiction, number of not fiction books are 1500.
A percentage is a relative figure that represents one tenth of a quantity. Since one percent (symbolised as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.
Total amount of book in library are 2500 ,
Out of that 40% are fiction so the number of the non fiction books are 60%
so 60% of 2500 will give us the value of non fiction books,
Number of non fiction = 2500 x 60%
= 2500 x 60/100
= 25 x 60
= 1500
Therefore, Number of non fiction books are 1500.
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If mZFBC = (10x – 9), mZCBE = (4x + 15),
find mZFBE.
Answer:
BEFmZ Is the answer i think
Step-by-step explanation:
Answer:
mFBE = 14x + 6
Step-by-step explanation:
As you can see FBE is sum of FBC + CBE
Given mFBE = mFBC + mCBE
= 10x - 9 + 4x + 15
= 14x + 6
So mZFBE = 14x + 6
The cost to mail a package is $8 for the first 4 pounds and 25 cents for each additional ounce. Which of the following functions represents the cost to mail a package if x is the number of ounces over 4 pounds?
f(x) = 0.25+ 8x
f(x) = 8 + 0.25x
f(x) = 32 + 0.25x
f(x) = 0.25(x + 4)
Answer:
f(x) = 8 + 0.25x
Step-by-step explanation:
It is given we are considering a package over 4 pounds.
Hence, the $8 will be a constant.
If the number of additional ounces is represented by x, and each ounce costs $0.25, then it is given by : 0.25x
Hence, the function which represents the situation given :
f(x) = 8 + 0.25x
it's election day for a student organization. if a president and vice-president are elected, how many different combinations can be made among six people?
30 different combinations can be made among six people.
The total number of arrangements is called Permutations.
According to the question,
There are 6 members to choose from.
And there are 2 posts to be filled. i.e, President, Vice-President.
Let's assume each position is a blank. Here each blank represents a placeholder.
The first position can be filled in 6 ways (because any one of the students can get that position)
The second position can be filled in 5 ways (as one person already got the first position, he can't get the second position).
The total number of ways all three positions can be filled in
= 6 * 5 = 30
So, the total number of ways in the combination = 30.
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What’s 3 over 4 x 1 over 2?
Answer:
3/4 x 1/2 = 3/8 in fraction form. 3/4 x 1/2 = 0.375 in decimal form.
Step-by-step explanation:
Answer: 3/4 x 1/2 = 0.375 in decimal form.
Step-by-step explanation:
x²+4x-3x-12 group pairs of term
Please Help! Will give Brainlest!
Answer:
amplitude = 2
Step-by-step explanation:
the amplitude is the distance from the x- axis(midline ) to the maximum value , that is
amplitude = 2
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Option B ( 2 ) ✓
the amount by which the graph of the function travels above and below its midline.OR,
\( \sf{amplitude = distance \: from \: undisturbed \: position \div centre \: line \: to \: through \: or \: peak \: }\)
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CVT and Sensetivity Amalycis, Roonurce Conmstraint (Mmamiple Prohnts). 14obly Shop Incorporated produrces three different models with the following annual data (thic is the base case). Assume the sales mix remains the same at all levels of sales except for regurements i and j ลิeวured: Rمaund to the nearest unit of product, hundredth of a percent, and nearest cent where appropnate. (An example for unit calculations is 3,231.151=3,231; an example for) percentage calculations is 0.434532=0.4345=43.45 percent; an example for dollar calculations is $378.9787=$378.98.) 2. Usinq the base case information, prepare a contribution margin income statement for the year 3. Calculate the weighted average contribution margin ratio. 4. Find the break-even point in sales dollars. 5. What amount of sales dollars is required to earn an annual profit of $400,000 ? 6. Go back to the base case contribution marqin income statement prepared in requirement d. What would the operating profit be if the Plane sales price (1) increases 10 percent, or (2) decreases 10 percent? (Assume total sales remains at 100,000 units.) 7. Go back to the base case contribution margin income statement prepared in requirement d. If the sales mix shifts more toward the Car product than to the other two products, would the break-even point in units increase or decrease? (Detailed calculations are not necessary.) Explain. 8. Assume the company has a limited number of labor hours available in production, and management would like to make efficient use of these labor hours. The Plane product requires 4 labor hours per unit, the Car product requires 3 labor hours per unit, and the Boat product requires 5 hours per unit. The company sells everything it produces. Based on this information, calculate
These tasks involve analyzing various aspects of cost-volume-profit relationships, sensitivity to changes, and resource constraints to gain insights into the financial performance and operational efficiency of the company.
1) To prepare a contribution margin income statement, you need to classify the costs as variable or fixed and calculate the contribution margin for each product. Subtracting the total variable costs from the total sales revenue will yield the contribution margin, which can be used to determine the operating profit.
2) The weighted average contribution margin ratio can be calculated by dividing the total contribution margin by the total sales revenue. This ratio indicates the average contribution margin earned per dollar of sales.
3) The break-even point in sales dollars can be determined by dividing the total fixed costs by the contribution margin ratio. It represents the level of sales required to cover all costs and achieve a zero-profit position.
4) To earn an annual profit of $400,000, you would need to add this profit amount to the total fixed costs and divide the sum by the contribution margin ratio to find the required sales dollars.
5) By increasing or decreasing the plane sales price by 10 percent while keeping the total sales units constant, you can calculate the impact on the operating profit by multiplying the change in sales price by the total sales units and the contribution margin ratio.
6) If the sales mix shifts more towards the car product, the break-even point in units may decrease. This is because the car product has a lower labor hour requirement per unit compared to the other two products, potentially reducing the total fixed costs and contributing to a lower break-even point.
7) To optimize the use of limited labor hours, you would calculate the contribution margin per labor hour for each product by dividing the contribution margin by the labor hours required per unit. This information can guide decision-making on the allocation of labor hours to maximize profitability.
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the straightest lines on a sphere are blank sharing the same center as the sphere.
The straightest lines on a sphere are great circles, which share the same center as the sphere.
A great circle is a circle on a sphere that has the same radius as the sphere and shares its center. It can be thought of as the intersection of the sphere with a plane that passes through its center. Great circles are called "great" because they have the largest possible circumference among all circles on the sphere.
Due to the symmetric nature of a sphere, any line connecting two points on its surface that passes through the center will follow the arc of a great circle. These lines are considered the straightest on the sphere since they are the shortest path between any two points on the sphere's surface.
Examples of great circles include the Equator on the Earth, which divides the sphere into two equal halves, and the lines of longitude that converge at the Earth's poles. Great circles also play an important role in navigation and are used in determining the shortest distance between two points on the Earth's surface.
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plz help, its due today
Answer:
its 55
Step-by-step explanation:
3 less than the quotient of a number y and 4
Expression:
When y = 20, the value of the expression is
Please help ASAP!!
Step-by-step explanation:
3 less than the quotient of a number y and 4
= y/4 - 3.
When y = 20, y/4 - 3 = 20/4 - 3 = 2.
42. Find the equation of the sphere with center C(−2,3,7) that is tangent to the plane 2x+3y−6z=5.
To find the equation of the sphere tangent to the plane 2x + 3y - 6z = 5 with center C(-2, 3, 7), we need to find the radius of the sphere. The equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.
The distance from the center of the sphere to the plane is equal to the radius. We can use the formula for the distance between a point (x, y, z) and a plane Ax + By + Cz + D = 0:
Distance = |Ax + By + Cz + D| / sqrt(A^2 + B^2 + C^2)
In this case, the plane equation is 2x + 3y - 6z - 5 = 0. Plugging in the coordinates of the center C(-2, 3, 7) into the formula, we have:
Distance = |2(-2) + 3(3) - 6(7) - 5| / sqrt(2^2 + 3^2 + (-6)^2)
= |-4 + 9 - 42 - 5| / sqrt(4 + 9 + 36)
= |-42| / sqrt(49)
= 42 / 7
= 6
So, the radius of the sphere is 6.
The equation of a sphere with center C(-2, 3, 7) and radius 6 is:
(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 6^2
Simplifying further, we have:
(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36
Therefore, the equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.
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Andrew has been tracking how many positions he has to fill, and how many times he fills the same position. He is concerned that so many people are leaving his organization. Andrew is concerned about ________.
Andrew is concerned about the high turnover rate if he is tracking how many positions he has to fill and how many times he fills the same position and is worried that too many people are leaving his organization.
The turnover rate is the proportion of employees who leave a company over a specific period of time.
The turnover rate is expressed as a percentage of the total workforce.
High turnover rates can suggest that employees are unhappy with their jobs or that the company is experiencing financial difficulties.
A high turnover rate might result in a decrease in productivity, decreased morale among the remaining employees, and increased expenditures on recruiting and training new employees.
Thus, it is evident that Andrew is concerned about the high turnover rate.
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Find the value of X in the triangle shown below.
Choose one answer
C) x=15
D) x =21
Answer:
c
Step-by-step explanation:
Please help me with this question!!!!!
h = 11.9 cm
cos = adjacent/ hypotenuse
therefore:
cos(24) = h/ 13
rearrange:
h = 13cos(24)
put into calculator:
h = 11.8760...
rounded to one decimal point:
h = 11.9cm
What is "21 less than three-fifths of a number
Answer:
(3/5)x - 21. ..............
Step-by-step explanation:
Could I have branliest, heart with 5 stars
Thanks.
Suppose that an individual has a body fat percentage of 16.7% and weighs 147 pounds. How many pounds of her weight is made up of fat? Round your answer
to the nearest tenth.
Answer:
24.549 pounds
Step-by-step explanation:
Solve for X.
4(x - 3) - 5x >- 2
Answer:
x<-10
Step-by-step explanation:
4x-12-5x>-2
-1x-12>-2
+12 +12
-1x>10
-1x/-1>10/-1
x<-10
u switch the inequality when the number is divided by a negative number btw:) hope this helped:D
Jing participates in a trivia contest. He completes each question in 1/2 minute.
How long does it take for Jing to complete 10 questions? 300 seconds 600 seconds 660 seconds 1,200 seconds
Answer:
300 seconds
Step-by-step explanation:
First, you have to know how much half a minute is. Half a minute is 30 seconds.
Second, you multiply 30 by 10 because he answered 10 questions.
30 * 10 = 300
So your answer is 300 seconds
Lastly, have a great day! :)
Edward works as a waiter, where his monthly tip income is normally distributed with a mean of $2,000 and a standard deviation of $350. Use this information to answer the following questions. Record yo
The probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.
Given that Edward works as a waiter, where his monthly tip income is normally distributed with a mean of $2,000 and a standard deviation of $350.
The z score formula is given by;`z = (x - μ) / σ`
Where; x is the raw scoreμ the mean of the populationσ is the standard deviation of the population.
The probability that Edward’s monthly tip income exceeds $2,350 is to be found.`z = (x - μ) / σ``z = (2350 - 2000) / 350``z = 1`
The value of z is 1.
To find the area in the right tail, use the standard normal distribution table.
The table value for z = 1.0 is 0.8413.
Therefore, the probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.
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There are 32 students in the middle school choir. How can this number be written as a power with a base of 2? Explain how you found your answer.
The number 32 can be written as a power with a base of 2 as 2^5
What is index form?The index form of a number is defined as that number represented as an exponential expression, or even a single number raised to another number.
Example;
2^n
3^3
From the information given, we have to determine the index form of 32
It is expressed in the base of 2 as;
32 = 2 × 2 × 2 × 2 × 2
32 = 2^5
Thus, the number 32 can be written as a power with a base of 2 as 2^5
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A total of 573 tickets were sold for the school play. They were either adult tickets or student tickets. There were 73 more student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
146 adult tickets were sold
Step-by-step explanation:
subtract 73 from 573 which = 500
then you'll take away 500 from 73 =427
then you will subtract 427 from 573= 146
Jonathan has a board that is 12 1/2 feet long that he needs cut into 5 equal pieces how long should each piece be
Answer:
2 1/2 per piece
Step-by-step explanation:
Enter the letter for the function graphed
below.
3
√x - 3
a) y =
b) y = ³√√x - 3
c)y = 3 = ³√√x
3
d) y = ³√√x +3
e) y = √√x +3
a)
Step-by-step explanation:
we only need to look at the point, where y = 0.
that is clearly at x = 3.
which function gives y = 0 as result, when x = 3 ?
only a)
y =
\( \sqrt[3]{3 - 3} \)
the cubic root of 0 is 0.
as 3 is not equal to the cubic root of 3, b), c) and e) are out.
and d) is
\(y = \sqrt[3]{3 + 3} \)
the cubic root of 6 is NOT 0.
so, only a) is the only right answer.
Solve for x if B is the midpoint of AC. 18.5 43 -34 49
Answer:
The required value of x is 43