Solve |2x - 3|27.
OA.
-2 or x ≥ 5
B. x < -2 or x ≥ 6
OC. x <3 or x ≥ 5
OD. x ≤-2 or x ≥ 4

Answer:

It's Store C

Hope this helps :)

Step-by-step explanation:

Got it right on USA TEST PREP :)

Genetic algorithms use inheritance, crossover, and mutation to develop solutions by mimicking the principles of natural evolution.

What is Evolutionary optimization?

Evolutionary optimization refers to the use of evolutionary algorithms, such as genetic algorithms, to search for optimal or near-optimal solutions in a problem space. These algorithms mimic the process of natural selection, where individuals with better characteristics are more likely to survive and reproduce, thereby improving the overall solution quality over generations. By iteratively applying selection, reproduction, and variation operators, evolutionary optimization algorithms aim to find optimal solutions to complex problems.

It seems there is a mix of correct and incorrect statements in your description of genetic algorithms. Let's clarify the statements one by one:

"Represent knowledge as groups of characteristics": Genetic algorithms do represent solutions or potential solutions as groups of characteristics or parameters. These characteristics are often referred to as "genes" or "chromosomes" in the context of genetic algorithms.

"Are based on logic": Genetic algorithms are not explicitly based on logic. They are inspired by the process of natural selection and evolution in biology. While they involve logical operations in their implementation, the underlying principle is evolutionary optimization rather than formal logic.

"Develop solutions to particular problems using inheritance, crossover, and mutation": Genetic algorithms do indeed use inheritance, crossover, and mutation as key operators. These operators allow for the generation of new solutions by combining and modifying existing solutions within a population.

"Seek to emulate a human expert's way of solving problems": Genetic algorithms are not specifically designed to emulate the way human experts solve problems. Instead, they aim to optimize solutions through an iterative process of selection, reproduction, and variation, mimicking the principles of natural evolution.

"Do not work for most problems": Genetic algorithms can be effective for a wide range of problems, including optimization, search, and machine learning tasks. However, their effectiveness can vary depending on the problem characteristics, such as the size of the search space, the presence of constraints, and the availability of suitable representations and evaluation functions.

It's worth noting that genetic algorithms are just one approach among many in the field of optimization and problem-solving. The choice of algorithm depends on the specific problem at hand and its characteristics.

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The sum of 7/2 and twice a number is equal to 3/2 subtracted from three times the number variable (x) is -5/6.

To solve this equation, we need to get all the terms containing the variable (x) on one side of the equation and all the constants (numbers that don't contain the variable) on the other side.

First, let's distribute the "twice" on the left side of the equation:

7/2 + 2 * x = 3/2 - 3 * x

Then, let's combine like terms on each side of the equation:

7/2 + 2 * x = -3 * x + 3/2

Next, let's combine the constants on the right side of the equation:

7/2 + 2 * x = -3 * x + 3/2

-3/2 - 3/2

7/2 + 2 * x = -3 * x - 3/2

Now, let's get all the terms containing the variable on one side of the equation:

7/2 - 3 * x = -3/2

Then, let's get all the constants on the other side of the equation:

7/2 - 3 * x - 7/2 = -3/2 - 7/2

-3 * x = -5/2

Finally, we can divide both sides of the equation by -3 to solve for x:

x = (5/2) / (-3) = -5/6

So the value of x is -5/6.

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Answer: y=3

Step-by-step explanation:

The x-axis is on the horizontal line, and the y-axis is on the vertical line. On the horizontal line at -1, just go up until you find where y is located.

By doing this, you can find that y=3.

Answer:

Step-by-step explanation:

All we have to do is find the point on the line where x = -1. If we know this, we can see how high the point is (i.e., find it's y-value). Then, we would know the value of y.

If we draw a vertical line from where x equals -1, we see that it crosses the line at point (-1, 3). This means that we can draw a line from the point to the number -1 on the x-axis and another line from the point to the number 3 on the y-axis.

Hence, the y-value when x=-1 would be 3.

x = 1/2, 'x' represents the number of adults and children in the group, and since we can't have a fraction of a person, we can conclude that there is 1 adult and 1 child in the group.

Let's assume that the number of adults and children in the group is represented by the variable 'x'. Since the number of adults and children is the same, we can say that there are 'x' adults and 'x' children in the group.

Now, we know that the cost for each adult and each child to attend the carnival is $110. Since there are 'x' adults and 'x' children, the total amount paid by the group can be calculated by multiplying the cost per person by the total number of people:

Total amount paid = Cost per person * Total number of people

                 = $110 * (x + x)

                 = $110 * 2x

                 = $220x

We are given that the total amount paid by the group is $110, so we can set up the equation:

$220x = $110

To solve for 'x', we divide both sides of the equation by $220:

x = $110 / $220

x = 1/2

Therefore, 'x' represents the number of adults and children in the group, and since we can't have a fraction of a person, we can conclude that there is 1 adult and 1 child in the group.

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Answer:

1.2

Step-by-step explanation:

9.2 + 8d = 73.2

d = 8

then first term is   9.2 - d = 1.2

The first term of an arithmetic sequence is 1.2 with a common difference of 8.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

Tenth term of an arithmetic sequence = 73.2  or

a+(10-1)d = 73.2 ....(1)

Second term of an arithmetic sequence = 9.2 or

a+(2-1)d = 9.2 .....(2)

Where a is the first term and d is a common difference.

Solving equations (1) and (2)

From the equation (2) put the value of d in the equation (1), we get:

a+9(9.2-a) = 73.2

a+82.8 - 9a = 73.2

-8a = -9.6

a = 1.2

Thus, the first term of an arithmetic sequence is 1.2 with a common difference 8.

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Answer:

200.5ft²

Step-by-step explanation:

According to my calculation this is the answer ..

a. The dependent variable for this study is the number of correct answers on the test given.

b. The dependent variable in this study is a discrete variable.

a. The dependent variable for this study is the number of correct answers on the test given to the students after they prepared for the test by either generating and answering questions or reading the passage a second time.

b. The dependent variable in this study is a discrete variable because the number of correct answers can only take on whole numbers (e.g., 0, 1, 2, 3, etc.). It is not possible to have fractional or continuous values of correct answers on the test.

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The mathematical word describing  both \(27x\) and \(6x\) in the expression \(27x+6x\) is "addition"

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For the given case, the terms were \(27x\) and \(6x\) and the expression formed from them is \(27x+6x\)

This means both the terms were added together, as denoted by '+' (called 'plus') sign.

When two terms are written with 'plus' sign in between, then that means they're added to each other and the result will be addition of both of their's values.

Thus, the mathematical word describing  both \(27x\) and \(6x\) in the expression \(27x+6x\) is addition"

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Answer:

$4.16

Step-by-step explanation:

To find out how much 8 ounces of frozen yogurt costs if each ounce costs $0.52, we can use an equation that looks like this:

Therefore, for 8 ounces of yogurt is will cost $4.16.

Answer:

Step-by-step explanation:

To solve the equation |5-4r| = 17, we need to consider two cases:Case 1: 5 - 4r is positiveIf 5 - 4r is positive, then we have:5 - 4r = 17Subtracting 5 from both sides, we get:-4r = 12Dividing both sides by -4, we get:r = -3So if 5 - 4r is positive, then the solution to the equation is r = -3.Case 2: 5 - 4r is negativeIf 5 - 4r is negative, then we have:-(5 - 4r) = 17Simplifying the left side by distributing the negative sign, we get:-5 + 4r = 17Adding 5 to both sides, we get:4r = 22Dividing both sides by 4, we get:r = 5.5So if 5 - 4r is negative, then the solution to the equation is r = 5.5.Therefore, the solution set of the equation |5-4r| = 17 is {-3, 5.5}.To show this solution set on a number line, we can draw a number line and mark the points -3 and 5.5 with open circles, since these values are not included in the solution set. Then, we shade the part of the number line between -3 and 5.5, since any value of r in this interval satisfies the equation. The resulting number line looks like this:

So the solution set of the equation is the interval (-3, 5.5).

Answer:

w

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

cuz

Answer:

c bye  have a good day

Step-by-step explanation:

Answer:

All of them work

Step-by-step explanation:

Part D states that any number works so they all work. If you don't believe me there's edmentums sample answer.

By counting the table entries, we can see that there are 10 different options for a 3-topping pizza.

The different toppings ought on a pizza are:

As a general rule of thumb, I recommend selecting three to five toppings for each pizza you create.

Because mozzarella is a basic component of every pizza I prepare, it does not qualify as a topping.

Other cheeses that can be used as toppings are goat cheese, feta, and smoked gouda.

The most common supreme toppings are pepperoni, link, immature bell pepper, ebony olives, and red onions.

Sautéed mushrooms or even hot peppers are frequently incorporated.

Even though the sauce and cheese should almost always go on the bottom, the toppings themselves usually require the greatest attention.

Regardless of how many layers your pizza has, the top layer will receive the most heat.

Thus, by counting the table entries, we can see that there are 10 different options for a 3-topping pizza.

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The first five terms of each sequence can be written from the nth term of the sequence and the type of sequence are, arithmetic, geometric, geometric, geometric, and geometric respectively.

It is given that:

The sequences are:

1. a(1) = 7, a(n) = a(n - 1) - 3 for n > 2.

Plug n = 2 in the a(n)

a(2) = a(2 - 1) - 3

a(2) = a(1) - 3

a(2) = 7 - 3

a(2) = 4

lug n = 3

a(3) = 1

The first five terms are:

7, 4, 1, -2, -5 (arithmetic sequence)

2. b(1) = 2, b(n) = 2[b(n - 1) - 1] for n > 2.

Similarly,

The first five terms are:

2, 2, 2, 2, 2 (geometric sequence)

3. c(1) = 3. c(n) = 10 • c(n - 1) for n > 2.

The first five terms are:

3, 30, 300, 3000, 30000 (geometric sequence)

4. d(1) = 1, d(n) = n • d(n - 1) for n > 2.​

1, 2, 6, 24, 48 (geometric sequence)

Thus, the first five terms of each sequence can be written from the nth term of the sequence and the type of sequence are, arithmetic, geometric, geometric, geometric, and geometric respectively.

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Write the first five terms of each sequence. Determine whether each sequence is arithmetic, geometric, or other.

1. a(1) = 7, a(n) = a(n - 1) - 3 for n > 2.

2. b(1) = 2, b(n) = 2 • b(n - 1) - 1 for n > 2.

3. c(1) = 3. c(n) = 10 • c(n - 1) for n > 2.

4. d(1) = 1, d(n) = n • d(n - 1) for n > 2.​

Answer:U: 1.98 V: 1.4 And also the other side, square root symbol: 1.4

Step-by-step explanation:

I hope this helps man, i havnt done this stuff in a while...

The Computation results of given combination and permutation expression,

(A) P(9, 3) = 504

(B) C(9, 3) = 84

(C) P(8,8) = 40,320

(D)P(9,9) = 1

A permutation is an arrangment of arranging objects or numbers in order.

The formula for permutations is

ⁿPᵣ = n!/(n-r)!

Combinations are the way of selecting objects or numbers from a group of objects, in such a way that the order of the objects does not matter.

The formula for combinations is,

ⁿCᵣ = n!/[r! (n-r)!]

ⁿCᵣ represents the number of combinations from “n” objects taken “r” at a time.

We have given some expressions and we shall compute these.

(A) P(9, 3) , here n = 9 and r = 3

=> P(9, 3) = 9!/(9-3)! = 9!/6! = 9×8×7×6!/6!

P(9, 3) = 9×8×7 = 504

(B) C(9, 3) = 9!/3!(9-3)! = 9!/6!×3!

= 9×8×7×6!/6!(3×2×1) = 9×8×7/6 = 84

(C) P(8, 8) = 8!/(8-8)!

= 8!/0! = 8! = 8×7×6×5×4×3×2×1 = 40,320

(D) C (9, 9) = 9!/9!(9-9)!

= 9!/9! 0! = 1

Hence ,we get all the values of given expression.

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Answer:

pretty sure its c

Step-by-step explanation:

Answer:

A is the answer.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

cause i wrote it on paper tho

Answer:

3

Step-by-step explanation:

This is the Commutative Property. It states that when addition takes place, the addends may switch positions with another addend.

The given expression −3+ 5 = 5 + (−3) is showing the commutative Property. The correct option is B.

The cumulative property states that if the position of the numbers when they are in addition is changed then it will not affect the final result of the addition. If altering the operands' order has no effect on the outcome, the binary operation is commutative in mathematics.

The given expression is −3+ 5 = 5 + (−3).

From the cumulative property, the expression can be solved. The two expressions will have the same value but the frame of writing the expression is different.

This is the Commutative Property. It states that when an addition takes place, the addends may switch positions with another added.

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Answer:

quadratic with a common second difference of 4

Step-by-step explanation:

quadratic equations: Quadratic equations are the polynomial equations of degree 2 example - a\(x^2\\\)+ b\(x\) + c = 0.

                               \(\begin{array}{cc}x&y\\-2&8\\-1&2\\0&0\\1&2\\2&8\end{array}\right]\)

from the table it is clear that,

function is y = 2\(x^2\\\)

so the function is not linear as the equation specifies.

formula to find second difference of a quadratic equation:

f(x + 2) - 2f(x + 1) + f(x)

therefore;

\(2(x+2)^2\) - \(4(x+1)^2\) + \(2x^2\)

\(2(x^2 + 4x + 4) - 4(x^2 + 2x+ 1 ) + 2x^2\)

\(2x^2 + 8x + 8 - 4x^2 - 8x - 4 + 2x^2\)

\(4x^2 - 4x^2 + 8x - 8x +8 - 4\)

4

therefore, the answer is quadratic with a common second difference of 4

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Answer:

498,960 ways

Step-by-step explanation:

The president position can be filled by any one of the 11 qualified candidates. After the president is chosen, the secretary position can be filled by any one of the remaining 10 candidates. Similarly, the treasurer position can be filled by any one of the remaining 9 candidates.

Next, the three director positions can be filled in any order by selecting 3 candidates out of the remaining 8 candidates. The order of the selected candidates does not matter because all 3 directors are equivalent.

Using the multiplication principle of counting, we can multiply the number of choices at each step to find the total number of ways to fill the positions:

Number of ways to choose the president = 11

Number of ways to choose the secretary = 10

Number of ways to choose the treasurer = 9

Number of ways to choose the 3 directors = C(8, 3) = 56 (since order doesn't matter)

Total number of ways to fill the positions = 11 x 10 x 9 x 56 = 498,960

Therefore, there are 498,960 ways to fill the positions in the software development company.

The  company can fill the positions in 332,640 ways.

Combination is a way of selecting a subset of objects from a larger set, where the order of selection does not matter.

The company needs to elect a president, a secretary, a treasurer, and three directors.

There are 11 qualified candidates who can run for any of the positions.

The company can fill the positions in the following order:

President (11 candidates to choose from)

Secretary (10 candidates left to choose from)

Treasurer (9 candidates left to choose from)

Director 1 (8 candidates left to choose from)

Director 2 (7 candidates left to choose from)

Director 3 (6 candidates left to choose from)

So, the total number of ways the positions can be filled is:

= 11 × 10 × 9 × 8 × 7 × 6

= 332,640

Therefore, the company can fill the positions in 332,640 ways.

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The total number of seats in this theater is \(1776\) due to the biggest theater having 33 rows.

A series is referred to in broad terms in a particular way. The succeeding terms are calculated by increasing or decreasing the preceding term's value. Occasionally an expression comes after each phrase in the series.

For instance, there are 7 options for the first seat, 6 for the second (since one has already been taken), five for the third, four for the fourth, and so on. Therefore there are 5040 different ways to set up a row of seven seats with seven persons in it.

First row, \(a = 16\)

Common difference, \(d=2\) additional seats

Number of rows, \(n = 33\)

\(sn=\frac{n}{2}*(2a+(n-1)*d)\)

So, we have

\(S33 = \frac{33}{2} * (2 * 16 + (33 - 1) * 2)\)

\(S33 = \frac{33}{2} * (2 * 16 + 32*2)\)

\(S33=\frac{33}{2}*(32+64)\)

\(S33=16.5*(32+64)\)

\(S33 = 18.5 * 96\)

\(S33 = 1776\)

Hence, the total seats in this​ theater are \(1776\)

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Answer:

1

Step-by-step explanation:

Greatest common factor of 19y + 15x is 1.

Answer: its 1

tacosarethebestyouknow:3

Answer:

225 students are wearing school colors.

Step-by-step explanation:

1. we know that 75% or .75 of the students are wearing school colors.

2. to find what this number is we need to know what 75% of 300 is.

("of" is a keyword meaning multiply)

3. We can do this by multiplying:

300(.75) = 225