assuming that x=-2 and y=3 evaluate xy-x^3 ​

Answer:

19/8

Step-by-step explanation:

8x-7=-12

8x=19

x=19/8

Answer:

8-7n=-12

Step-by-step explanation:

6 liters of brand A fruit punch must be mixed with 9 L of brand b fruit punch.

Let x=liters of Brand A fruit punch to be mixed with 9 liters of Brand B fruit punch.

x + 9 = liters of mixture.

20%(x) + 9*40% = 32%(x+9)

20/100 x + 9*40/100 = 32/100 (x+9)

0.2x + 360/100 = 0.32x + 9*0.32

0.2x + 3.6 = 0.32x + 2.88

0.12x = 3.6 - 2.88

0.12x = 0.72

divide by 0.12 on both sides

x = 0.72/0.12

= 72/100/12/100

= 72/12

= 6 liters.

Therefore 6 liters of brand A fruit punch must be mixed with 9 L of brand b fruit punch.

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Answer:

17.2 hours, or 17 hours and 12 minutes

Step-by-step explanation:

If she reads 50 pages per hour, then 860/50 = 17.2

Answer:

y=6

RS= 47

ST= 22

RT= 69

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

75/5 = 15

The area of the sector is approximately 13.5 times the value of pi. Pi is a mathematical constant that represents the ratio of the circumference to the diameter of a circle. It is an irrational number that goes on infinitely without repeating, but in numerical form it is approximately equal to 3.14159.

The formula for finding the area of a sector involves using the central angle and radius of a circle. The central angle is the angle formed by two radii that extend from the center of the circle to the edge of the sector.

In this case, the given central angle is /3 radians, which means that the sector covers one-third of the entire circle. The radius of the circle is given as 9 meters.

Substituting these values into the formula, we get:

Area of sector = (central angle / 2π) x πr^2

= (/3 / 2π) x π(9)^2

= (/6) x 81π

= 13.5π

Therefore, the area of the sector is approximately 13.5 times the value of pi. Pi is a mathematical constant that represents the ratio of the circumference to the diameter of a circle. It is an irrational number that goes on infinitely without repeating, but in numerical form it is approximately equal to 3.14159.

Multiplying 13.5 by pi gives us approximately 42.411 square meters when rounded to three decimal places. This means that the sector covers about 42.411 square meters of the entire circle's area.

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Answer:

9           27             81

18          54            162

Hope that helps

Step-by-step explanation:

a. Yes, there is a BST B and a query value X such that the search for X in B visits the following sequence of key values in the given order.

b. No, there is no BST B and a query value X such that the search for X in B visits the following sequence of key values in the given order.

c. Yes, there is a BST t and a query value x such that the search for x in t visits the following sequence of key values in the given order.

A binary search tree (BST) is a data structure used to store a set of elements in a way that allows efficient search, insertion, and deletion operations.

It is a binary tree in which each node has at most two children, called left and right children.

Here the values are 11, 41, 71, 101, 141 The given questions can be answered as follows

(a) Yes, it is possible to construct a BST where the search for x visits the sequence of key values 11, 41, 71, 101, 141.

(b) No, it is not possible to construct a BST where the search for x visits the sequence of key values 101, 141, 41, 11.

This is because in BST, the values to the left of a node are always smaller than the node's values, and the values to the right are always larger.

Therefore, if the search reaches a node with a value greater than the value of the query, it will never be reached

revisit nodes with smaller values.

(c) Yes, it is possible to construct a BST where the search for x visits the key value 1 sequence. The tree would consist of a single node with a key value of 1.

Therefore

a. Yes, there is a BST B and a query value X, so a search for X from B visits the next sequence of key values in the given order.

b. No, there is no BST B and a query value of X, so a lookup of X from B visits the next sequence of key values in the given order. c. Yes, there is a BST t and a query value x, so a search for x from t visits the next sequence of key values in the given order.

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Driving a personal car would be the most cost-effective mode of transportation for this commute, with a total daily cost of approximately $4.60 ($3.60 for gas + $1 for travel time).

Based on the given information, the most cost-effective mode of transportation for this commute would be to drive a personal car. Taking public transportation or carpooling may be more environmentally friendly options, but they may not save as much money as driving alone.

Assuming an average speed of 60 miles per hour on the highway, the commute would take approximately 20 minutes each way, or 40 minutes round-trip. This means the total cost of travel time for each workday would be $40 ($60/hour x 2/3 hour).

Using a cost calculator such as GasBuddy, we can estimate that the cost of driving 20 miles per day (round-trip) would be around $3.60 per day, assuming an average fuel efficiency of 25 miles per gallon and a gasoline price of $2.50 per gallon.

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The correct option is D) reaching the North Pole has no foreseeable

benefit to humanity.

The question the narrator asks in lines 30-31 ("Will it . . . railway") most nearly implies that reaching the North Pole has no foreseeable benefit to humanity.

The North Pole is the northernmost point on Earth's axis, located in the Arctic Ocean approximately 450 miles (725 kilometers) north of Greenland.

Some key features regarding North Pole, here

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Answer:

It's 1,120

Step-by-step explanation:

I know because I got it correct

Answer:

1,120 mm2

Step-by-step explanation:

Just took that answer got it correct

Taking into account the definition of a system of linear equations, the textbook store sold 141 math textbooks and 282 psychology textbooks.

A system of linear equations is a set of linear equations (that is, a system of equations in which each equation is of the first degree) in which more than one unknown appears.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, a system of linear equations must be proposed taking into account that:

You know:

The system of equations to be solved is

p + m= 423

p=2m

It is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, substituting the second equation in the first one you get:

2m + m= 423

3m=423

m= 141

Substituting this value in the second equation you get:

p= 2m

p= 2×141

p= 282

Finally, 141 math textbooks and 282 psychology textbooks were sold by the textbook store.

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Answer:

The notation a<b means that a is strictly smaller in size than b , while the notation a>b means that a is strictly greater than b .

Step-by-step explanation:

Answer: B > A

because A is on the left to B and A is not equal to B so B > A

An area of mathematics that studies how competing parties interact is known as "game theory."

Game theory analyzes strategic decision-making in situations where multiple participants, known as players, make choices that affect each other's outcomes. It examines the interactions, strategies, and outcomes of these competitive or cooperative situations.

Game theory provides mathematical models and frameworks to analyze various scenarios, such as conflicts, negotiations, auctions, voting systems, and economic markets. It studies the behavior of rational players, their objectives, and the choices they make to maximize their own outcomes, considering the actions and reactions of other players.

The field of game theory explores concepts such as strategies, payoffs, Nash equilibrium, dominant strategies, and cooperative or non-cooperative games. It aims to predict and understand the behavior and outcomes of competitive situations and provides insights into decision-making, resource allocation, and the dynamics of interactions between individuals, organizations, or even nations.

Overall, game theory serves as a valuable tool in various disciplines, including economics, political science, psychology, and computer science, to analyze and model situations where competing parties interact.

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Answer:

110

Step-by-step explanation:

Parallel lines, forgot the rule name but:

180-70 = 110

Answer:

110°

Step-by-step explanation:

Angles adjacent to each other sum up to 180°

Inequality can be used to determine x, the greatest number of 120-kilogram crates that can be loaded onto the shipping container is  8000 + 120C <= 27500

An inequality is a relationship that allows us to contrast two or more mathematical expressions.

Knowing that;

Each carton weighs 120 kg.

The container's maximum weight when loaded is 27500 kg.

Weight of the container as it is currently loaded: 8000 kg

Now that we have merged, we have;

Solution

because 8000 grams have already been loaded kilograms

into the container

each crate weighs 120 kilograms.

so 8000 + 120C <= 27500

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The average cost has decreased by $62.4 from producing 1 unit to 100 units of production level.

1. Marginal cost (MC) can be obtained by calculating the derivative of the total cost (TC) function with respect to the quantity (Q) of output produced.

Marginal Cost (MC) = dTC(Q) / dQ

Let's first determine the total cost function TC(Q).

TC(Q) = 160Q + 10Q² + 50Q + 4Q³ => TC(Q) = 4Q³ + 10Q² + 210Q

Now, we can differentiate TC(Q) with respect to Q to get the marginal cost function.

MC(Q) = 12Q² + 20Q + 210

2. Evaluate MC(Q) for

Q=3MC(Q) = 12(3)² + 20(3) + 210MC(Q) = 108 + 60 + 210 = 378

3.  Interpretation of MC(Q=3)MC(Q=3) = 378

This indicates that the cost of producing the third unit is $378.

It is noteworthy that MC is the incremental cost of producing one more unit of output.

Therefore, if the firm produces an additional unit, it would cost an extra $378.

The firm will not produce an additional unit if the price is below $378, since producing another unit would result in a loss.

Hence, if the company produces the same quantity of output as it does currently, the cost will be $378 more than it is currently.

4. Total Cost (TC) function

TC(Q) = 160Q + 10Q² + 50Q + 4Q³

Let's first calculate the average cost (AC) function.

AC(Q) = TC(Q) / Q => AC(Q) = (160Q + 10Q² + 50Q + 4Q³) / Q

AC(Q) = 160 + 10Q + 50 / Q + 4Q²

We need to substitute Q = 100 to determine the increase in the total cost and average cost from 1 unit to 100 units of production level.

The cost of producing 1 unit will be:

AC(1) = 160 + 10(1) + 50 / 1 + 4(1)² = 224

The cost of producing 100 units will be:

AC(100) = 160 + 10(100) + 50 / 100 + 4(100)²

AC(100) = 16,160 / 100 = 161.6

Therefore, the total cost of producing 100 units is $16,160.

From producing 1 unit to 100 units, the total cost will increase by:

$16,160 - $224 = $15,936

The average cost from producing 1 unit to 100 units will decrease:

AC(100) - AC(1) = 161.6 - 224 = -$62.4

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Answer:

He's at -22 feet

Step-by-step explanation:

there's no question

Answer:

Step-by-step explanation:

so the answer is 22

Answer:

Step-by-step explanation:

it is 2x

Answer:

-3, -3

Step-by-step explanation:

The coordinates of point B on line AC is (6/7, -30/7).

Given that, A(6, -6), C(-6,-2) and AB= 3/4 AC.

The section formula is P(x, y)\(=(\frac{mx_{2} +nx_{1}}{m+n}, \frac{my_{2} +ny_{1}}{m+n} )\).

Now, AB= 3/4 AC⇒AB:AC=3:4

P(x,y)\(=(\frac{3(-6)+4(6)}{3+4}, \frac{3(-2) +4(-6)}{3+4} )\)

=(6/7, -30/7)

Therefore, the coordinates of point B on line AC is (6/7, -30/7).

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If x is the largest of the three consecutive integers, then the three consecutive integers can be represented as x-1, x, and x+1.

The sum of these three consecutive integers is:

(x-1) + x + (x+1)

Simplifying the expression, we get:

3x

Therefore, the expression in terms of the given variables that represents the sum of three consecutive integers when x is the largest is 3x.

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This declaration is True.

The anticipated variability or widespread deviation of the means from MANY unique random samples is known Sampling distribution.

The standard deviation of this distribution, i.e. the standard deviation of sample means, is called the standard error. The standard error tells you how accurate the mean of any given sample from that population is likely to be compared to the true population mean.

What is the suggest variance and fashionable deviation of the sampling distribution of the pattern mean?

Since the suggest is 1/N times the sum, the variance of the sampling distribution of the suggest would be 1/N2 instances the variance of the sum, which equals σ2/N. The widespread error of the suggest is the standard deviation of the sampling distribution of the mean.

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The given question is incomplete, complete question is:

The expected variability or standard deviation of the means from MANY different random samples is known as what quantity: a. Sampling variability b. Standard error (panel 51 from slides), itâs also said in the video c. Sampling distribution d. Parameter

Answer:

1st:Arthmetic Sequence ,2nd:Geometric Sequence

Step-by-step explanation:

-9,-15,-21,-27

+6

48,24,12,6

half of 2 or divided by 2

Answer:

rate is $1.50

Step-by-step explanation:

4 to 8 has a difference of $6

every one pound will increase by 1.5

and the equation is correct

Answer:

-60

Step-by-step explanation:

     First do the operation in the inner most brackets.

{4 - [-2 - (1 + 3)] }*(-6) ={ 4 - [-2 - 4] } * (-6)

                          = { 4- [ -2 - 4] } * (-6)

                         = {4 - [-6] } * (-6)

                         = { 4 + 6} * (-6)

                           = 10 * (-6)

                            = -60

Answer:

C

Step-by-step explanation:

difference means minus

Answer:

B  

Step-by-step explanation:

7(300-28)=7(272)=1904

Answer:

5.625

as a mixed number = 5 and 5/8

Step-by-step explanation:

Answer:

5 5/8

Step-by-step explanation:

1) 5/8 - (-5 1/4) = 45/8.

2) Simplify: 45/8, you should recieve 5 5/8.

5 5/8 is your answer.

Answer:

7/13

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

we have to multiply 1 by the reciprocal of 13/7

1 x 7/13 = 7/13

becuase a number multiply by 1 gives as result the number itself

Mason's friends do not play video games are 4.

Mason asked some classmates whether they play video games.

The ratio of friends who play video games to everyone he asked is given as some fraction or decimal value.
Let's assume that the ratio is in the form of "x:y",

"x" represents the number of friends who play video games, and "y" represents the total number of friends that Mason asked.
To find out how many of his friends do not play video games,

To subtract the number of friends who play video games from the total number of friends that Mason asked.

This is because the remaining friends who were not counted in the "x" value of the ratio must be those who do not play video games.
So, the number of friends who do not play video games can be calculated as:
Total number of friends - Number of friends who play video games = y - x
The ratio of friends who play video games to everyone he asked is 3:7,

It means that out of 7 friends, 3 play video games, and 4 do not play video games.

The number of friends who do not play video games can be calculated as:
y - x = 7 - 3 = 4  

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