Five Spanish friends are playing in a house. Cammy, Ann, Rake, Dora, Stephen. Cammy and Ann are playing Chess, while Rake and Dora are playing together. Then Stephen is playing by himself, which would mean he is playing One player games. Can you figure out which game they are playing?

The linear equation y = 7x - 2 in function notation is f(x) =7x - 2

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

y = 7x - 2

A linear equation is represented as

y = mx + c

Where

m = slope

c = y-intercept

When written in function notation, we have

f(x) = mx + c

So, we have

f(x) =7x - 2

Hence, the linear equation in function notation is f(x) =7x - 2

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Answer:0.21 the large box

Step-by-step explanation: find unit rate for each box.

$1.25/5=$.25 - small

$2.07/9=$.23 - medium

$3.15/15=$.21 - large

So, by plugging in 1.25/5, 2.07/9, and 3.15/15, I got 0.25, 0.23, and 0.21, respectively.

So if you're trying to find the least amount cost per nugget, then 0.21 from the large box option would be your answer.

The values of lim f(x) and f(2) are -2 and -6 respectively.

Given function is: f(x) = x²-4x-2

We have to find the limit of the function as x approaches 2.

We know that the limit of a function f(x) as x approaches a is the value that f(x) approaches as x gets closer and closer to a from both sides of a.

So, we will find the right-hand and left-hand limits of the function separately and see if they are equal.

Let us find the left-hand limit of the function as x approaches 2-:

lim f(x) = lim (x²-4x-2)      

(as x → 2-)-→

x = 2-=[2-δ]² - 4[2-δ] - 2= 4-4δ+δ²-8+4δ-2= δ²-6

Therefore,

lim f(x) = lim (x²-4x-2)    

 (as x → 2-)=

lim (δ²-6)      

(as δ → 0-)= 2²-6= -2

Now, we will find the right-hand limit of the function as x approaches 2+:

lim f(x) = lim (x²-4x-2)      (as x → 2+)-→ x = 2+=[2+δ]² - 4[2+δ] - 2= 4+4δ+δ²-8-4δ-2= δ²-6

Therefore, lim f(x) = lim (x²-4x-2)      (as x → 2+)= lim (δ²-6)      (as δ → 0+)= 2²-6= -2

As we can see that both the left-hand limit and right-hand limit are equal to -2.

Hence, the value of the limit of f(x) as x approaches 2 is:

lim f(x) = -2

Now, let us find the value of f(2):f(x) = x²-4x-2

When x = 2, we have:

f(2) = 2²-4(2)-2= 4-8-2= -6

Therefore, f(2) = -6

Hence, the values of lim f(x) and f(2) are -2 and -6 respectively.

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Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The value of x , y and z in the parallel line is 50 degrees.

When parallel lines are crossed by a transversal line, angle relationships are formed such as vertically opposite angles, alternate interior angles, alternate exterior angles, adjacent angles, corresponding angles etc.

Therefore, let's use the angle relationships to find the angle, x, y and z as follows:

Therefore,

x = 360 - 310(sum of angles in a point)

x = 50 degrees

Therefore,

x = y(alternate interior angles)

Alternate interior angles are congruent.

Hence,

y = 50 degrees

Therefore,

x = z(alternate interior angles)

z = 50 degrees.

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The probability of forming teams with no mixing is 63,063/184,756 = 0.341.

The total number of ways to form 10 teams of 2 from 20 people is \((20 choose 2) * (18 choose 2) * ... * (2 choose 2) = (20!)/(2^{10} * 10!) = 184,756\).

To form teams with no mixing, we need to pair the 10 math majors with each other and the 10 cs majors with each other. The number of ways to do this is \((10 choose 2) * (8 choose 2) * ... * (2 choose 2) = (10!)/(2^5 * 5!)^2 = 63,063\).

Therefore, the probability of forming teams with no mixing is 63,063/184,756 = 0.341.

To form teams with no mixing, we can choose any 2 of the 10 math majors to form the first team, then choose any 2 of the remaining 8 math majors to form the second team, and so on until all 10 teams have been formed. The same process can be applied to the 10 cs majors. This gives us the number of ways to form teams with no mixing. We then divide this by the total number of ways to form teams of 2 from 20 people to get the probability.

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Answer:

x=20

Step-by-step explanation:

The two angles are equal since they are vertical angles.

x+40 = 3x

Subtract x from each side.

x+40-x = 3x-x

40 = 2x

Divide by 2.

40/2 = 2x/2

20 =x

Answer:

x = 20

Step-by-step explanation:

Two angles are alternate angles and they are congruent so their measures are equal.

We can write the following equation to find the value of x based on the above mentioned information:

3x = x + 40

3x - x = 40

2x = 40

x = 20

Answer:

h =2

Step-by-step explanation:

10=h ×5

10=h5

DBS by 5

10÷5=h5÷5

h=2

Answer:

x=2 , y=3

Step-by-step explanation:

A person who studies or involves in stduy and writes word, logic, or mathematical puzzles is known as an Enigmatologist.

In short form, the use of the term Enigmatologist is a general term for anyone who deals with any puzzle science, such as mathematics. However, the word occultism is a new coin coined nearly 30 years ago by the American Will Shortz, the only trained occultist in the world. Shortz graduated from Indiana University with a degree in riddles in 1974 and is now a columnist for the New York Times after many years as editor of the American magazine Games. Hence, someone who studies and writes mathematical, word or logic puzzles.

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A dealer bought some 9-volt batteries for $2,400. She sold them for $5,600, making a profit of $1.60 on each battery. 2,500 batteries were involved in the deal.

The dealer bought some 9-volt batteries for $2,400 and she sold them for $5,600. To find out how many batteries were involved, we need to calculate how much she made from each battery. We can do this by subtracting the cost of the batteries from the selling price and then dividing it by the number of batteries. Profit per battery = $5,600 - $2,400 = $3,200. Number of batteries = $3,200/$1.60 = 2,500. Therefore, the dealer bought 2,500 batteries.

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The shape of the histogram below is known as a uniform shape.

A uniform shaped histogram is indicated if the that the frequency of each interval is very similar to the other.

The interval of the histogram is equal and the frequencies of each interval of the histogram are very similar to each other, therefore the graph is uniform shaped.

Therefore, the Option D is correct.

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The y-intercept of the graph of the equation is y = -9.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given equation as:

y = 6 (x - 1/2)(x+3)

To determine the y-intercept of the graph of the equation

Substitute the value x = 0 in the equation,

y = 6 (0 - 1/2)(0+3)

Apply the arithmetic operation and solve for y

y = -9

Hence,  the y-intercept of the graph of the equation is y = -9.

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Answer:

-6x²+11x-4

Step-by-step explanation:

Apply the distributive property by multiplying each term of -3x+4 by each term of 2x-1

-6x²+3x+8x-4

Answer:

180 ml oil

240 g onions

1.35 kg potatoes

1.8 l milk

Step-by-step explanation:

The recipe makes 6 portions and you need 18 portions. Since 6 is 3 times smaller than what you need, just times everything you've been given by 3.

*you can choose to convert into the correct units of measurement before or after dividing. I converted after dividing. Either way works fine though.

1) 60 x 3 = 180 ml

2) 80 x 3 = 240 g

3) 450 x 3 = 1350 g

They want it in kilograms, so divide it by 1,000 to convert. this gives you 1.35 kg.

4) 600 x 3 = 1800 ml

They want it in l, so divide it by 1,000 to convert. this gives you 1.8 l.

Hope this helped : )

There is no inherent relationship between the median and the average. It is possible for the median to be greater than the average or vice versa, depending on the specific values in the set.

To determine whether the median of the 5 numbers is greater than the average (arithmetic mean), we need the actual values of the numbers. Without specific values, we cannot provide a definitive answer. However, I can explain the concept of the median and the average to help you understand how they relate to each other.

The median is the middle value of a set of numbers when they are arranged in ascending or descending order. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

The average, or arithmetic mean, is calculated by summing up all the values in a set and dividing the sum by the number of values.

In general, there is no inherent relationship between the median and the average. It is possible for the median to be greater than the average or vice versa, depending on the specific values in the set.

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The length of line segment AC is equal to 34 units.

In Mathematics and Geometry, the Tangent Secant Theorem states that if a secant segment and a tangent segment are drawn to an external point outside a circle, then, the product of the length of the external segment and the secant segment's length would be equal to the square of the tangent segment's length.

By applying the Tangent Secant Theorem to this circle, we have the following:

DC² = AB × BC

15² = (3x + 1) × 9

225 = 27x + 9

27x = 225 - 9

27x = 216

x = 216/27

x = 8

Now, we can determine the length of AC;

AC = AB + BC

AC = 3x + 1 + 9

AC = 3(8) + 1 + 9

AC = 34 units.

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Answer:

the answer is 30

you do :

90+60=150

180-150=30

Answer:

x = 12 y = 10.392

Step-by-step explanation:

Calculators are very helpful these days.

Answer:

x=38

Step-by-step explanation:

(2x+5)=(3x-33)

2x-3x=-33-5

-x=-38

x=38

Answer:

C. y<5/3x-3

Step-by-step explanation:

First, treat this problem as if you were graphing a normal slope intercept form equation, y=mx+b, where m=slope and b=the y-intercept. To find the slope of the line, find two points on the graph and count the number of units up/down over the number of units right/left. You could also use the slope formula, (y2-y1)/(x2-x1).

Once you have the slope, which, in this equation, is 5/3, find b, the y-intercept. You can find it by seeing where the line intersects with the y-axis (the vertical axis). In this case, b=(-3).

If this was a normal line, the equation would be y=5/3x-3. However, it's an inequality, and we're not quite done yet. We can eliminate answer B.

Look closely at the line. If it's dotted, the symbol is either a less-than/greater-than symbol (< or >). That means the answer can be any number up to that OR any number above that, but not that exact number. If it's a solid line, that means it's either a less-than or equal-to/greater-than or equal-to symbol, which looks like < and >. That means the answer can be that number and any number up to it OR that number and any number above it. This graph shows a dotted line, so we can eliminate answer A.

Now, one of the hardest parts, though it's really quite easy. If an equation is less-than or less-than or equal-to, the shaded region (all the possibilities) would be below the line. This is easy to tell with a horizontal line, easy enough to tell with a diagonal line, and a little difficult with a vertical line. With a vertical line, think of a number line with a single point on it. Anything to the left of the point is less than the point, so you would shade to the left of the line. If an equation is greater-than or greater-than or equal-to, the shaded region would be above the line, because it's the opposite of less-than or less-than or equal-to. Because the shaded region is below the line, the symbol to use in this equation is < because the answer is unknown but definitely below that line, but not on the line, because it's not a solid line, which means the answer is included.

The inequality of this line is y<5/3x-3, which is listed as answer C. Hope that helped! Comment if it didn't make sense.

Answer:

Michelle bought a pack of crayon for $3.25

Step-by-step explanation:

Number of packs = 5

The cost of a pack of crayons =

(Cost of 5 packs of crayon) / (number of packs of crayons)

The cost of a pack of crayons = ($16.25 ) /  5

The cost of a pack of crayons = $16.25  / 5

The cost of a pack of crayons = $3.25

Solution:

1. Since the numbers must be divisible by 2 even numbers, all odd numbers are ruled out because odd numbers are not divisible with even numbers.

In this case, the numbers that are possible are:

2. Since the numbers must be divisible by 5, it rules out a few more numbers.

In this case, the remaining numbers are:

We can clearly tell that the only number that is divisible by 8, 5, and 4 is 80.

Thus, 80 is the number.

If a forest covers 51,000 acres. A survey finds that 0.4​% of the forest is​ old-growth trees. The number of  acres of​ old-growth trees that are​ there is: 204 acres.

Using this formula to find the number of acres that are there.

Number of acres = Number of forest covers acres × Forest old growth tree percentage

Where:

Number of forest covers acres = 51,000 acres

Forest old growth tree percentage = 0.4% or 0.004

Let plug in the formula

Number of acres = 51,000 acres × 0.004

Number of acres = 204 acres

Therefore we can conclude that the number of acres  is 204 acres.

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Answer:

This is a simple explanation we are letting positive 6 try to add into negative 1 this will give us 5

if we do 6-1 which is the equation shown just more easier to understand

6 + (-1) =

  \/

6 - 1 = 5

Ten balls in five lines Puzzle – Solution The puzzle Place 10 balls in 5 rows in such a way that each row contains exactly 4 balls below figures are:

A puzzle is a sport, trouble, or toy that examines a person's ingenuity or understanding. In a puzzle, the solver is anticipated to position pieces together (or take them aside) in a logical manner, so that you can arrive at the appropriate or a laugh solution to the puzzle. There are special genres of puzzles, which include crossword puzzles, phrase-search puzzles, variety puzzles, relational puzzles, and good judgment puzzles. the academic take look at puzzles is referred to as enigmatology.

Puzzles are often created to be a form of leisure however they can also get up from critical mathematical or logical problems. In such cases, their solution can be a substantial contribution to mathematical research. Puzzles expand memory competencies, as well as the capability to devise, check ideas and solve troubles. even as completing a puzzle, children want to recollect shapes, colors, positions, and techniques to complete them.

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The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.

The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).

By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.

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The probability that all adjacent points differ in colour is \(\frac{1}{5}\).

What is probability ?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

Have given ,

We have first three colour Green that is g1 , g2 and g3

And We have next three colour red that is r1 , r2 and r3

The probability that all adjacent points differ in colour = 3! * \(^{4}C_{3}\) 3! / 6!

=> \(\frac{ 3! * 4! *3!}{6!}\)

=> \(\frac{1}{5}\)

The probability that all adjacent points differ in colour is \(\frac{1}{5}\).

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