what is -4x+20≥28 i need to fast though

Answers

Answer 1

Answer:

[tex]x\leq -2[/tex]

Step-by-step explanation:

Solve for x:

[tex]-4x+20\geq 28[/tex]

Subtract 20 on both sides

[tex]-4x\geq 8[/tex]

Flip the sign and multiply both sides by -4

[tex]16x\leq -32[/tex]

Divide by 16

[tex]x\leq -2[/tex]

What Is -4x+2028 I Need To Fast Though

Related Questions

13. The area of the kite is 30 m². What is the value
of x? Explain.
4m
xm
6 m
xm
14.

Answers

Answer:

answer is 3

Step-by-step explanation:

Hellppppppppppppppppp

Answers

Soooo…

13x + 3 = 1/2 (261 - 99)
13x + 3 = 1/2 (162)
13x + 3 = 81
13x = 78
x = 6

3n^2 can it be in standard form

Answers

Answer:

No it can,t be in standard for

miyu is giving out $8$ identical chocolates to her $4$ friends, including dhruv. all possible distributions are equally likely. what is the probability that dhruv gets exactly $1$ chocolate?

Answers

Dhruv will most probably admit precisely 1 chocolate if the probability is0.2181 or (21.81%).

What's Probability?

Probability refers to eventuality. This area of mathematics examines how arbitrary events be.

First, the total number of ways

= C( 11, 3)

= 11!/ 8! 31

= 11 x 10 x 9/ 3x 2

= 165

Now, If Dhruv gets exactly 1 chocolate there are now 7 chocolate and

3- 1 = 2 bars

So, the number of ways for 1 exactly one chocolate

= C( 9, 2)

= 9!/ 7! 21

= 9 x 8/ 2

= 36 ways

The liability that Dhruv receives exactly one chocolate is now.

= 36/ 165

= 12/ 55

Thus, the probability that Dhruv gets exactly 1 chocolate is 12/55 ≈0.2181 or 21.81%.

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What is the reference angle for a 250° angle?

Answers

Answer:

70

Step-by-step explanation:

:D

Triangle 1 and triangle 2 are similar right triangles formed from a ladder leaning against a building.




Determine the distance from the bottom of the building to the point where the ladder is touching the building for triangle 2.
4 feet
7 feet
9 feet
14 feet

Answers

The distance from the bottom of the building to the point where the ladder is touching the building for Triangle 2 is 14 feet.

What is triangle?

A triangle is a polygon with three sides and three angles. It is one of the most basic geometric shapes and is often used in geometry, trigonometry, and other branches of mathematics.

Since Triangle 1 and Triangle 2 are similar right triangles formed from the same ladder leaning against the same building, their corresponding sides are proportional to each other.

Let's use the concept of similarity and proportions to solve for the unknown distance in Triangle 2. We can set up the following proportion based on the corresponding sides of the two triangles:

(vertical leg of Triangle 1) : (horizontal leg of Triangle 1) = (vertical leg of Triangle 2) : (horizontal leg of Triangle 2)

We know that in Triangle 1:

the length of the hypotenuse (the ladder) is 16 feet

the length of the horizontal leg (the distance along the ground) is 8 feet

the length of the vertical leg (the distance from the bottom of the building to the point where the ladder is touching the building) is 16 feet

Using the Pythagorean Theorem, we can solve for the length of the vertical leg of Triangle 2:

(vertical leg of Triangle 1) : (horizontal leg of Triangle 1) = (vertical leg of Triangle 2) : (horizontal leg of Triangle 2)

16 : 8 = (vertical leg of Triangle 2) : 7

Simplifying the proportion, we get:

2 : 1 = (vertical leg of Triangle 2) : 7

To solve for the vertical leg of Triangle 2, we can multiply both sides of the proportion by 7:

2 * 7 : 1 * 7 = (vertical leg of Triangle 2)

14 : 1 = (vertical leg of Triangle 2)

Therefore, the distance from the bottom of the building to the point where the ladder is touching the building for Triangle 2 is 14 feet.

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The gradient is equal to the _______ in elevation/distance

Answers

The gradient is equal to the rise in elevation/distance.

The correct answer is "rise." What is the gradient? The term "gradient" refers to the amount of steepness or slope in a surface, represented by a number or percentage. The gradient is calculated as the change in elevation divided by the change in distance.

As a result, the gradient is measured in units of elevation per distance, such as feet per mile or meters per kilometer. The formula for the gradient is given by:Gradient = Rise / RunWhere rise is the change in elevation and run is the change in distance.

The gradient, on the other hand, indicates the steepness or slope of a surface. It represents the angle of the slope and the direction of flow of a stream, among other things. It's also used to figure out the water flow rate in a pipeline or open channel.

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a cell phone company charges $500 for a new phone and then $60 each month after the purchase. if c (t) is a rational function that represents the average monthly cost of owning the cell phone, what is the range of the function?

Answers

The range of the function is a set of positive values greater than 500 and 60.

Therefore, the range of the function is given by:

Range = {c(t) : c(t) > 500, c(t) > 60t} or {c(t) : c(t) > 500, c(t) > 60}.

The given situation of a cell phone company charges $500 for a new phone and then $60 each month after the purchase.

If c (t) is a rational function that represents the average monthly cost of owning the cell phone, the range of the function is given by:

Range = {c(t) : c(t) > 500, c(t) > 60t} or {c(t) : c(t) > 500, c(t) > 60}

The cell phone company charges a one-time amount of $500 and $60 each month after the purchase.

It is given that c (t) represents the average monthly cost of owning the cell phone.

From this information, it can be inferred that the average monthly cost of owning the cell phone is given by: c(t) = (500 + 60t)/t

The given function is a rational function that represents the average monthly cost of owning the cell phone.

The range of a function is the set of all possible values of the function.

The average monthly cost of owning the cell phone is a positive value.

Hence the range of the function is a set of positive values greater than 500 and 60.

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Last year, 89 musicians attended a jazz camp, and 15 of them were bassists. What is the experimental probability that the first musician to sign up will be a bassist?

Answers

There is a roughly 16.85% chance that a bassist will be the first musician to register for the jazz camp.

What is experimental probability?

Experimental probability is a type of probability that is based on actual observations or experiments. It is also called empirical probability

According to question:

The ratio of the frequency of an occurrence to the total number of trials or observations is known as the experimental probability. In this case, the event is the first musician to sign up being a bassist.

Since there were 15 bassists out of 89 musicians who attended the camp last year, the experimental probability of the first musician to sign up being a bassist is:

Experimental probability = Number of bassists / Total number of musicians

Experimental probability = 15 / 89

Experimental probability = 0.1685 or approximately 16.85%

As a result, there is a roughly 16.85% chance that a bassist will be the first musician to register for the jazz camp.

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a spinner with the colors red, yellow, blue, and green is spun. what is the theoretical probability of stopping on the color blue?

Answers

1/4 or 25% chance or .25, this is because there are four colors and blue is only one of them.

The theoretical probability of stopping on the color blue when spinning a spinner with the colors red, yellow, blue, and green is 25% or 1/4.

A spinner is a tool that spins around an arrow or a pointer that points towards the numbers, colors, or pictures around its edge. The probability of a certain event is the likelihood of that event occurring. In this case, we need to find the theoretical probability of stopping on the color blue.

We have four colors on the spinner, so the probability of stopping on blue can be found using the formula of theoretical probability.

The formula for theoretical probability is:

number of favorable outcomes / total number of outcomes.

Since we have four colors on the spinner, the total number of outcomes is 4. The favorable outcomes are the number of times the spinner will land on blue, which is 1.

So the probability of stopping on the color blue can be calculated as follows:

1 (favorable outcome) / 4 (total number of outcomes) = 1/4

So, the theoretical probability of stopping on the color blue is 1/4. This is because there is an equal chance of landing on any of the four colors, and since there are four colors, each has a 25% chance of being selected.

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The angles of an irregular pentagon is x, 90, x, 150, x degrees.
Calculate the size of the largest angle.

Answers

Answer:

x=130°

Step-by-step explanation:

The sum of the angel of the pentagon is equal to 540°

X+90+x+150+x=540

3x+240=540

3x=540-150

3x=390

X=130

Select the true statements. Select the two correct answers. A. 1 . 01 < 0 . 99 1 . 01 < 0 . 99 B. 4 . 5 = 4 . 50 4 . 5 = 4 . 50 C. 3 . 5 < 3 . 39 3 . 5 < 3 . 39 D. 1 . 51 > 1 . 15 1 . 51 > 1 . 15 E. 2 . 09 = 2 . 9

Answers

The true statements are:

B. 4.5 = 4.50 (both sides are equal to 4.5, with the same number of significant figures)

D. 1.51 > 1.15 (1.51 is greater than 1.15)

What is system of inequalities ?

A system of inequalities is a set of two or more inequalities with one or more variables. The solution to a system of inequalities is the set of all possible values of the variables that satisfy all the inequalities in the system simultaneously. In other words, it is the intersection of the solution sets of each individual inequality in the system.

According to the question:
The two correct statements are B and D.

B is true because trailing zeros after a decimal point do not change the value of a number, so 4.5 is equal to 4.50.

D is true because 1.51 is greater than 1.15, as the digits to the right of the decimal point represent fractions of a whole number, so 0.51 is greater than 0.15.

A is false because 1.01 is greater than 0.99.

C is false because 3.5 is greater than 3.39.

E is false because 2.09 is not equal to 2.9.

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a bag contains marbles, marbles, and marbles. if a marble is drawn from the bag, replaced, and another marble is drawn, what is the probability of drawing first a marble and then a marble?

Answers

To find the probability of drawing a marble and then another marble from the bag, we need to multiply the probabilities of the individual events. This is because the two events are independent, and the outcome of the first event does not affect the outcome of the second event.

Let P(R) denote the probability of drawing a red marble, and P(B) denote the probability of drawing a blue marble. We are given that the bag contains red, blue, and green marbles, but we do not know the exact numbers of each color.

Since we replace the marble after each draw, the probability of drawing a red marble and then a blue marble can be found as:

P(RB) = P(R) x P(B)

To find P(R), we need to divide the number of red marbles in the bag by the total number of marbles. Similarly, to find P(B), we need to divide the number of blue marbles in the bag by the total number of marbles. However, since we do not know the exact numbers of each color, we cannot compute these probabilities exactly.

Therefore, we can only say that the probability of drawing a marble and then another marble is equal to the product of the probabilities of drawing each marble separately. In other words, the probability of drawing a red marble and then a blue marble is:

P(RB) = P(R) x P(B)

where P(R) and P(B) are the probabilities of drawing a red marble and a blue marble, respectively, which we cannot determine without more information about the contents of the bag.

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a polygraph (lie detector) is said to be 90% reliable in the following sense: there is a 90% chance that a person who is telling the truth will pass the polygraph test; and there is a 90% chance that a person telling a lie will fail the polygraph test. (a) suppose a population consists of 5% liars. a random person takes a polygraph test, which concludes that they are lying. what is the probability that they are actually lying?

Answers

The probability that a randomly chosen person is actually lying given that the polygraph test concluded that they were lying is 0.05.

The probability that a random person taking a polygraph test is actually lying can be calculated using Bayes' Theorem. In this case, the population consists of 5% liars, so the probability of a randomly chosen person being a liar is 0.05. The reliability of the polygraph test is said to be 90%, meaning that the probability of a person telling the truth passing the test is 0.90, and the probability of a person telling a lie failing the test is also 0.90. Therefore, using Bayes' Theorem, the probability that a randomly chosen person is actually lying given that the polygraph test concluded that they were lying is:

P(Lying | Polygraph) = P(Polygraph | Lying) * P(Lying) / P(Polygraph)

= (0.90 * 0.05) / 0.90

= 0.05

Therefore, the probability that a randomly chosen person is actually lying given that the polygraph test concluded that they were lying is 0.05.

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PLEASE HELP MARKING BRAINLEIST JUST ANSWER ASAP AND BE CORRECT

Answers

Answer:

4t - 22

Step-by-step explanation:

To find:-

Perimeter of the given figure.

Answer:-

To find out the perimeter we can simply add all the side lengths of the given figure. Since the given figure here is a rectangle, we can add up all the four sides to find the perimeter.

The four sides given to us are t-6 , t-5 , t-6 and t-5 .

Hence the perimeter of the quadrilateral would be ,

Perimeter = t-5 + t-6 + t-5 + t-6

Perimeter = 4t - 10 - 12

Perimeter = 4t - 22

Hence the perimeter of the given figure us 4t - 22.

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{$\sf\large t-5$}\multiput(-1.4,1.4)(6.8,0){2}{$\sf\large t-6$}\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\end{picture} [/tex]

Tammy said the product of 5/7
and 1 1/4
is 1 3/4
.

How can you tell that this answer is wrong?

Answers

Answer:

Step-by-step explanation:

To determine if Tammy's answer of 1 3/4 for the product of 5/7 and 1 1/4 is correct, we can perform the multiplication ourselves.

First, we need to convert 1 1/4 to an improper fraction:

1 1/4 = (4 x 1 + 1)/4 = 5/4

Then, we can multiply the fractions:

5/7 x 5/4 = 25/28

As we can see, 25/28 is not equal to 1 3/4. Therefore, Tammy's answer of 1 3/4 is incorrect. The correct answer is 25/28, which is an improper fraction. We can also express this as a mixed number: 0 25/28.

10 points question at position 1 samples of rejuvenated mitochondria are mutated (defective) with a probability 0.15. find the probability that at most one sample is mutated in 10 samples

Answers

The probability that at most one sample is mutated in 10 samples is 0.746.

To calculate this probability, we use the binomial distribution formula.

The binomial distribution formula is used to calculate the probability of a certain number of successes (in this case, samples that are mutated) in a certain number of trials (10 samples). We need to find the probability of 1 success or fewer in 10 trials.

This is equal to P(x<=1) = 1 - P(x>1), where x is the number of successes.

For this calculation, we need the following parameters: n = 10 (number of trials), p = 0.15 (probability of a single sample being mutated), and x = 1 (number of successes). So, P(x<=1) = 1 - P(x>1) = 1 - P(x = 2) - P(x = 3) - P(x = 4) - P(x = 5) - P(x = 6) - P(x = 7) - P(x = 8) - P(x = 9) - P(x = 10).

The probability of at most one sample being mutated in 10 samples is calculated by adding the individual probabilities of 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 samples being mutated, which equals 0.746.

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Corey spies a bald eagle in a tall tree. He was able to measure the angle of elevation to the bird from where he stands at 62°. The leaves on the tree make it difficult for Corey to watch the bird, so he moves 10 feet further away from the tree to get a better view. Now his angle of elevation is 56°.

What is the height of the tree? Round your answer to the nearest foot.

pls help

Answers

The height of the tree is approximately 76 feet.

What is the angle of elevation?

The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.

We can use tangent to set up the following two equations based on the given angles of elevation:

tan(62°) = h/x

tan(56°) = h/(x+10)

We can rearrange the first equation to solve for "h":

h = x * tan(62°)

tan(56°) = (x * tan(62°)) / (x+10)

We can solve for "x" by multiplying both sides by (x+10) and rearranging:

x = 10 * (tan(62°) - tan(56°)))

Now we can substitute this value for "x" into either of the two equations we set up earlier to find the height of the tree "h". Using the first equation, we get:

h = x * tan(62°) ≈ 76 feet

Therefore, the height of the tree is approximately 76 feet.

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A nationwide coffee chain is downsizing its branches in six states It has already told the store man

Answers

the nationwide coffee chain is downsizing its branches in six states, and has already informed the store managers. The process should involve analyzing the reasons for downsizing, identifying the branches to be downsized, developing a transition plan, implementing the plan, and monitoring the progress and results.

The question asks about a nationwide coffee chain that is downsizing its branches in six states and has informed the store managers.
To answer this question, we can discuss the process of downsizing branches and the possible reasons behind it.
Analyze the reasons for downsizing
The coffee chain may be downsizing due to financial challenges, declining sales, or a shift in strategic focus. Understanding the reasons for downsizing will help in determining the best approach to manage the process.
Identify the branches to be downsized
The coffee chain must have a clear plan for which branches in the six states will be downsized. This can be based on factors such as sales performance, location, and overall profitability of each branch.
Inform the store managers
The coffee chain has already taken this step by informing the store managers about the downsizing. This is important to ensure that they are aware of the changes and can communicate this information to their employees.
Develop a transition plan
The coffee chain should develop a comprehensive plan to manage the downsizing process. This could involve offering support to affected employees, such as providing severance packages, job placement assistance, or opportunities to transfer to other branches.
Implement the downsizing plan
Once the plan has been developed, the coffee chain can begin the process of downsizing the identified branches. This may involve closing or merging some locations, reducing staff, and reallocating resources.
Monitor the progress and results
After the downsizing process is complete, the coffee chain should closely monitor the outcomes and make any necessary adjustments to ensure the desired results are achieved.

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what is the difference between 6 holes and 1/2 and 10 holes?

Answers

10-hole harmonicas, which can produce a wider range of notes and are more commonly used in professional music settings.

What is equation?

An equation is a statement that expresses the equality of two mathematical expressions using mathematical symbols such as variables, numbers, and mathematical operations. The equality is represented by an equal sign "=" between the two expressions. Equations are used to represent mathematical relationships and solve problems in various fields such as physics, chemistry, engineering, and economics.

Given by the question.

The terms "6 holes and 1/2" and "10 holes" are often used to refer to harmonicas, which are small wind instruments that produce sounds when air is blown into or drawn out of them.

The main difference between a 6-hole harmonica and a 10-hole harmonica is the number of holes on the instrument. As the name suggests, a 6-hole harmonica has 6 holes, while a 10-hole harmonica has 10 holes.

In addition to the number of holes, the two types of harmonicas may also differ in their size, range, and the specific notes that they can produce. 6-hole harmonicas are typically smaller and produce a more limited range of notes compared

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The population of a country is initially two million people and is increasing at a rate of 4% per year. The country’s annual food supply is initially adequate for four million people and is increasing at a constant rate adequate for an additional 0.5 million people per year.If the country doubled its initial food supply and maintained a constant rate of increase in the
supply adequate for an additional 0.5 million people per year, would shortages still occur? In
approximately which year? . If the country doubled the rate at which its food supply increases, in addition to doubling its
initial food supply, would shortages still occur?

Answers

in approximately 22 years, the population would exceed the food supply, even if the country doubles its initial food supply and doubles the rate at which its food supply increases.

How to calculate the rate?

To answer these questions, we need to calculate the population and food supply at different points in time and compare them.

Let's first calculate the population after t years:

Population after t years = 2,000,000 * (1 + 4%) raise to the power t

And the food supply after t years:

Food supply after t years = 4,000,000 + 0.5 million * t

Now, let's answer the first question:

If the country doubled its initial food supply and maintained a constant rate of increase in the supply adequate for an additional 0.5 million people per year, would shortages still occur?

If the country doubles its initial food supply, the new food supply would be 8,000,000, and it would still increase at a rate of 0.5 million people per year. Let's calculate the year when the population exceeds the food supply:

Population = Food supply

2,000,000 * (1 + 4%)^t = 8,000,000 + 0.5 million * t

Solving for t, we get t ≈ 17.77 years.

So, in approximately 18 years, the population would exceed the food supply, even if the country doubles its initial food supply and maintains a constant rate of increase in the supply adequate for an additional 0.5 million people per year.

Now, let's answer the second question:

If the country doubled the rate at which its food supply increases, in addition to doubling its initial food supply, would shortages still occur?

If the country doubles the rate at which its food supply increases, the new rate would be 1 million people per year. Let's calculate the year when the population exceeds the food supply:

Population = Food supply

2,000,000 * (1 + 4%) raise to the power t  = 16,000,000 + 1 million * t

Solving for t, we get t ≈ 21.96 years.

So, in approximately 22 years, the population would exceed the food supply, even if the country doubles its initial food supply and doubles the rate at which its food supply increases.

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2. a. There is a new family called the Grump family. Mr. Grump's rule is (x,y). Circle the rules that
his family members in red. Circle the imposters in blue.
(3x,3y)
(2x,y)
(x,4y)
(4x,4y)
(6x, 5y)
(9x, 9y)
(0.3x, 0.3Y)

Answers



Red: (3x,3y) (2x,y) (x,4y) (4x,4y)
Blue: (6x, 5y) (9x, 9y) (0.3x, 0.3Y)
Assuming that the rule "(x, y)" means that both coordinates are multiplied by some factor x and y respectively, the rules that follow the Grump family's rule are:

(3x, 3y)
(2x, y)
(x, 4y)
(4x, 4y)

The rules that do not follow the Grump family's rule are:

(6x, 5y)
(9x, 9y)
(0.3x, 0.3y)

Therefore, the family members that follow Mr. Grump's rule are in red, and the imposters that don't follow the rule are in blue:

Red: (3x, 3y), (2x, y), (x, 4y), (4x, 4y)
Blue: (6x, 5y), (9x, 9y), (0.3x, 0.3y)

How do you fine the blank for infinitely many solutions

Answers

To determine if a system of linear equations has infinitely many solutions, you need to solve the system and check the resulting equations.

Here are the general steps:

Write the system of linear equations in standard form: ax + by = c, where a, b, and c are constants.Use any method (substitution, elimination, or matrix) to solve the system of equations and obtain the solution set.If you get an equation that is always true (such as 0 = 0), then the system has infinitely many solutions.If you get an equation that is always false (such as 0 = 1), then the system has no solution.

If you obtain a valid solution for each variable, then the system has a unique solution.

If you have two or more variables and only obtain a solution for some of them, then the system has infinitely many solutions.

It's also important to note that if you have a system with fewer equations than variables, it may also have infinitely many solutions.

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Interpreting data (Box & Whisker & Histogram) & Review Systems
For questions 1-4 use the graph below to answer the following questions/problems.



1. What is the value of the third quartile shown on the box-and-whisker plot?
2. Determine the interquartile range? Determine the range?
3. How many people were surveyed?
12
4. What is the type of average you can find? Find that average.

Answers

The type of average that can be found is the median. The median is the middle value of the data set when the values are arranged in order. In this case, the median is 11, as shown by the line inside the box.

What is value ?

Value is the relative worth, merit, or importance of something. It is subjective and can be determined by a variety of factors, including personal preferences, beliefs, and economic forces. Value is a concept that can be applied to many different aspects of life, including economic goods, personal relationships, and objects. Value is determined by how much someone is willing to pay for something or how much someone needs something. In economics, value is determined by the market, which is based on supply and demand. In personal relationships, value is determined by the mutual respect, trust, and understanding between two people. In objects, value is determined by the sentiment and meaning it holds for the owner. Ultimately, value is a perception of worth, and its true value is subjective.

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Can somebody please help with this? you don't have to understand Spanish its just a word search, please.

Answers

Answer: sure....... i actually understand Spanish so this is gonna be easy.

Step-by-step explanation:

Give me a few minutes to do it

Ok for startes when you find a word cross it off the word bank that is where your first mistake is......

caden is 208 miles away from rahquez. they are traveling towards each other. if rahquez travels 6 mph faster than caden and they meet after 8 hours, how fast was each traveling?

Answers

Caden's speed is 10 mph and Rahquez's speed is 16 mph faster, which is 16+6 = 32 mph

Let's use the formula: distance = rate x time

Since Caden and Rahquez are traveling towards each other, their combined distance will be 208 miles. Let's call Caden's speed "x" and Rahquez's speed "x+6", since Rahquez is traveling 6 mph faster than Caden.

Using the formula above, we can set up the equation:

208 = (x + x + 6) * 8

Simplifying, we get:

208 = (2x + 6) * 8

208 = 16x + 48

160 = 16x

x = 10

Therefore, Caden's speed is 10 mph and Rahquez's speed is 32 mph.

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Luis models a can of ground coffee as a right cylinder. He measures its height as 51/1
3
in and its radius as in. Find the volume of the can in cubic inches. Round your
4
answer to the nearest tenth if necessary.

Answers

Answer:

Step-by-step explanation:

Answer: I can’t find it please help

Step-by-step explanation:

What is 2.5 as a fraction?

Answers

Answer: 5/2


fraction of 2.5 is 5/2

Answer:

2 1/2 or 5/2 as improper fraction

2 is a whole number and you have .5 left over

To convert to fraction .5 is the same as 1/2

So it gives you 2 1/2

By the way thanks for the Brainly points :)

Determine which property(s) the following relation R on the set of all integers satisfy(s)?( a , b ) ∈ R iff a b ≥ 1 .

Answers

In conclusion, the relation R on the set of all integers satisfies reflexivity and symmetry but not transitivity.

To determine which properties the relation R on the set of all integers satisfy, we need to check for reflexivity, symmetry, and transitivity.

1. Reflexivity: A relation R is reflexive if for every element a in the set, (a, a) ∈ R.
In this case, we need to check if a * a ≥ 1 for all integers a.
Since any integer squared (a * a) is greater than or equal to 1, R is reflexive.

2. Symmetry: A relation R is symmetric if for every pair (a, b) ∈ R, (b, a) also ∈ R.
In this case, we need to check if a * b ≥ 1 implies b * a ≥ 1.
Since multiplication is commutative (a * b = b * a), the condition holds true, and R is symmetric.

3. Transitivity: A relation R is transitive if for every (a, b) ∈ R and (b, c) ∈ R, (a, c) also ∈ R.
In this case, we need to check if a * b ≥ 1 and b * c ≥ 1 imply a * c ≥ 1.
Let's take the counterexample: a = -1, b = 2, and c = -1. We have -1 * 2 ≥ 1 and 2 * -1 ≥ 1, but -1 * -1 ≥ 1 is false.

Therefore, R is not transitive.

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a sock drawer contains 18 black socks and 12 red socks. if you randomly choose two socks at once, what is the probability you get a matching pair?

Answers

There are 12 red socks and 18 black socks in a sock drawer. If you randomly choose two socks at once, the probability you get a matching pair is 50%.

The probability of getting a matching pair of socks can be calculated as follows:

First, we can calculate the total number of ways to choose 2 socks out of 30:

C(30, 2) = 30! / (2! * (30-2)!) = 435

Now, we need to calculate the number of ways to choose 2 socks such that they are both black or both red:

Number of ways to choose 2 black socks: C(18, 2) = 153

Number of ways to choose 2 red socks: C(12, 2) = 66

Therefore, the total number of ways to choose a matching pair of socks is 153 + 66 = 219.

Finally, we can calculate the probability of getting a matching pair of socks by dividing the number of ways to choose a matching pair by the total number of ways to choose 2 socks:

P(matching pair) = 219 / 435 ≈ 0.5034

Therefore, the probability of getting a matching pair of socks is approximately 0.5034 or 50.34%.

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