What is the value of the expression when x = 7 and y = 7? A. 8 B. 15 C. 50 D. 97

PLS HELP

Answer:

x = - 1 ± \(\sqrt{7}\)

Step-by-step explanation:

To solve the equation let y = 0 , that is

x² + 2x - 6 = 0 ( add 6 to both sides )

x² + 2x = 6

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1 = 6 + 1

(x + 1)² = 7 ( take the square root of both sides )

x + 1 = ± \(\sqrt{7}\) ( subtract 1 from both sides )

x = - 1 ± \(\sqrt{7}\)

After rounding 475.189 to the nearest hundredth we get 475.19 .

Rounding of a number is a process of approximating the original number to some decimal points resulting the original number to shorten up for more explicit representation.

Rules of rounding a number to its nearest hundredth is,

The original number would be rounded up to two decimal places as it represents to its hundredth decimal place.

If the digit after the second decimal place of the original number is greater than (equals to) 5 then we round up the number, by increasing the previous place value digit by 1.

And if the digit after the second decimal place of the original number is lesser than 5 then we round down the number, by decreasing the previous place value digit by 1.

Here in 475.189 the digit after second decimal is 9 which is greater than 5, hence we round up the number by increasing the previous value (that is, second decimal digit)  by 1 we get 475.19 (to the nearest hundredth).

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Answer:

20

Step-by-step explanation:

add all the numbers

Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

Answer:

6:20 PM

Step-by-step explanation:

They got there at 8:30 PM, and 2 hours and 10 minutes prior would have been 6:20 PM.

The values of x and y are -3 and -2

Algebraic expressions are expressions involving variables, constants, terms and factors.

They are also made up of addition, subtraction, multiplication, division, etc

Given the expression;

(5) (x + 3) (y + 2)

expand the bracket

5(xy + 2x + 3y + 6)

expand the bracket further

5xy + 10x + 15y + 30

Factorize

5x( y + 2) + 15( y + 2)

We have;

5x + 15 = 0 and y + 2 = 0

x = -15/5

x = -3

y = -2

Thus, the values of x and y are -3 and -2

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Answer:

3. 8 feet

Step-by-step explanation:

To find the horizontal distance (x) in feet, we can use the following steps:

Step 1: Determine the vertical height that the box has been lifted.

The difference between the two points is:

9 ft - 3 ft = 6 ft.

Therefore, the box has been lifted 6 feet.

Step 2: Use the slope of the ramp to find the horizontal distance (x).

The slope of the ramp is given as 3/4. This means that for every 3 feet the ramp rises vertically, it moves 4 feet horizontally. We can set up a proportion to solve for x:

3/4 = 6/x

We can cross-multiply to get:

3x = 24

Dividing both sides by 3 gives us:

x = 8

Therefore, the horizontal distance (x) is 8 feet.

Answer:

Look Below!

Step-by-step explanation:

Whichever is easier for you.

For example, 2y = 8x + 10

It is easier to isolate y by dividing both sides by 2

Example 2: 8x = 16y + 24

In this case, x is easier to eliminate by dividing both sides by 8

There is no real rule to decide which variable to isolate, you just isolate the easier one. Or in the cases where you want to solve the system for only one variable, you need to isolate the other.

Assume we have a system of equations with 2 equations and 2 variables (the simplest system, we could have N equations and N variables).

To solve the system by substitution, what you need to do is isolate one of the variables in one of the equations and then replace that in the other equation.

If you want to solve the system for only one variable (for example a problem with the variables x and y, and you only want to know the value of x).

Then you need to isolate the other variable and in that way, the problem will be simpler.

If that is not the case, it depends on you, I usually isolate the variable that is easier to isolate, and then work from that.

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Answer:

The code is 571113

Step-by-step explanation:

The problem requires that we find the prime factors of 5005

1. 5005 is a multiple of 5 since it ends with a number 5

5 is one of the numbers

Dividing 5005/5 = 1001

the next prime number after 5 is 7

so 1001/7= 143

7 is one of the numbers

the next prime number after 7 is 11

so 143/11= 13

13 is one of the numbers

In all the prime factorization of 5005 is found as follows

5,7 11,13

Combining these numbers gives the 6 digit code

571113

Answer:

i believe it’s the second and third one, not too sure about the first

Step-by-step explanation:

Answer:

Step-by-step explanation:

In rectangle , diagonals are equal and bisect each other.

FI = EI

6x - 5 = 2x + 7  {subtract 2x from both side}

6x - 2x -5 = 7

       4x - 5 = 7     {Add 5 to both sides}

           4x  = 7 +5

           4x = 12 {Divide bot sides by 4}

            x = 12/4

x = 3

EI = 2x + 7 = 2*3 +7 = 6 +7

EI = 13 units

EG = 2 *EI = 13 * 2

EG = 26 units

ΔFIG is an isosceles triangle.

∠IGF = ∠IFG = x

x +  x + 120 = 180  {Angle sum property}

2x + 120 = 180 {Subtract 120 form both sides}

       2x   = 180 - 120

       2x = 60

         x = 60/2

         x = 30

∠IGF = ∠IFG = 30

EH // FG   and FH is transversal.

∠IHE = ∠IFG    {Alternate interior angles}

∠IHE = 30°

Answer: 2/5

Step-by-step explanation:

Since there are 5 marbles and 3 aren't yellow, you have a 2/5 chance to choose the other two yellow marbles

Hope this helps:)

All the correct options that apply to the given dot plot are;

A dot plot is a simple plot that displays data values as dots above a number line.

5 students spent 2 hours on homework.

Dot plots show the distribution of the data.

A dot plot is defined as a simple plot that displays data values as dots above a number line. Dot plots show the frequency with which a specific item appears in a data set and also shows the distribution of the data.

From the given dot plot, we can interpret the following parameters;

Number of students that spent 1 hour on homework = 1 person

Number of students that spent 2 hours on homework = 5 persons

Number of students that spent 3 hours on homework = 6 persons

Number of students that spent 4 hours on homework = 4 persons

Number of students that spent 5 hours on homework = 1 person

Number of students that spent 6 hours on homework = 1 person

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Answer:

i think two months im not sure tho

Step-by-step explanation:

Answer:

I got 9/20

Hope that helps!

Answer:

1. 31.3%

2. 34.35%

3.62.6%

Step-by-step explanation:

There were 131 acoustic guitars, and 41 of them needed neck repair.

41/131 = 0.3130 = 31.3%

There were 262 total guitars serviced by Emely. 60 of them were acoustic and needed a string repaired, and 30 of them ere acoustic and needed repair, so 90 of them were acoustic and did not need neck repair.

90/262 = 0.3435 = 34.35%

There were 131 electric guitars. 48 of them had a broken string and 34 of them needed body repairs. So 82 of them needed either string or body repairs.

82/131 = 0.6260 = 62.6%

Answer:

$126

Step-by-step explanation:

$252/$18=$14 dollars per hour.

now take 14*9 and you get $126.

Answer:

$126

Step-by-step explanation:

Okay, so to solve this question, we need to get from 18 (hours) to 9. To do this, we obviously divide 18 by 2. Since we did this, we now have to do the same thing with the other side ($252.) 252 divided by 2 is 126. This means that if Chau made $252 in 18 hours,  he will make $126 in 9 hours.

Have a nice day! :)

Answer:

1/50 or 20/1000(same thing but simplified)

Step-by-step explanation:

The probability that at least one imperfect battery will be selected is 0.271, or about 27.1%.

The probability that at least one imperfect battery will be selected, we need to find the probability that all three batteries are perfect and subtract that from 1.

The probability that a battery is perfect is 0.9, and the probability that a battery is imperfect is 0.1.

The probability that all three batteries are perfect is:

P(Perfect Battery 1) x P(Perfect Battery 2) x P(Perfect Battery 3)

= 0.9 x 0.9 x 0.9

= 0.729

The probability that at least one imperfect battery will be selected is:

1 - P(all three batteries are perfect)

= 1 - 0.729

= 0.271

This means that in approximately 27.1% of cases, the quality control manager will have to reject the entire batch of batteries produced that day.

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The game of matching pennies has a mixed strategy Nash equilibriumIn the game of matching pennies, there are two players, Player 1 and Player 2.

Each player can choose to either show heads (H) or tails (T) by flipping a penny. The payoff matrix for the game is as follows:

       Player 2

        H    T

Player 1

H       1   -1

T      -1    1

A Nash equilibrium is a strategy profile where no player can unilaterally change their strategy to obtain a higher payoff.

In the game of matching pennies, if Player 1 chooses heads, Player 2 would want to choose tails to maximize their payoff. Similarly, if Player 1 chooses tails, Player 2 would want to choose heads. This implies that Player 2 can't have a pure strategy Nash equilibrium since they would have an incentive to switch their strategy based on Player 1's choice.

However, in the game of matching pennies, there exists a mixed strategy Nash equilibrium. Both players can choose their strategies randomly with equal probabilities. For example, Player 1 can choose heads with a probability of 0.5 and tails with a probability of 0.5, while Player 2 can choose heads with a probability of 0.5 and tails with a probability of 0.5.

In this case, neither player has an incentive to change their strategy since the expected payoffs are the same regardless of the opponent's strategy. Thus, the mixed strategy Nash equilibrium is achieved when both players randomize their choices equally.

Therefore, the game of matching pennies has a mixed strategy Nash equilibrium.

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Completing the square – can be used to solve any quadratic equation. It is a very important method for rewriting a quadratic function in vertex form. Quadratic formula – is the method that is used most often for solving a quadratic equation.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

Any quadratic problem may be solved by completing the square. It is a critical way for expressing a quadratic function in vertex form. The quadratic formula is the most often used method for solving a quadratic problem.

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A systematic random sample is obtained by choosing a random starting point and then selecting every kth individual from a population to participate in the study. The number of random numbers that must be produced to recognize individuals who are part of the sample is determined by the following formula:n/k is the number of random numbers required to identify the sample population of size n drawn from a population of size N by systematic random sampling.

To provide an example, consider a population of size N= 1000 and a sample of size n= 50. Assume that we must use systematic random sampling with a k=20. The population should be numbered, and the first random number between 1 and 20 is selected. The kth person after the first random number is chosen. This process is repeated for the entire population, with every kth person included in the sample. The number of random numbers generated would be 1000/20= 50. Therefore, to obtain a sample of 50 individuals, we must generate 50 random numbers to recognize each individual who will be included in the sample.

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The apothem is the perpendicular distance from the center of a regular polygon to any one of its sides.

A closed, two-dimensional, flat or planar structure with straight sides is referred to as a polygon. Its sides do not bend in any way. A polygon's sides are also referred to as its edges. A polygon's vertices (or corners) are the places where two sides converge. Polygons and polyhedrons are two names for geometric shapes having three or more sides. The names of a few polygons are listed below. In order to link and develop projects and blockchains that are compatible with Ethereum, Polygon (MATIC), a cryptocurrency and technological platform, was introduced. A polygon is a fully closed, two-dimensional (2D), flat form with straight sides (all the sides are joined up). They must have straight sides. Any number of sides can be found in polygons.

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Mathematics is a fundamental subject in education that is essential in the development of an individual’s critical thinking and problem-solving skills. It is one of the primary subjects that are taught in elementary schools and must be taught appropriately for children to understand and gain the required skills. One true statement about mathematics teaching in elementary schools is that it should be student-centered.

Teachers should focus on the child's understanding, individual learning abilities and styles, and progress.The learning experience should not be centered on the teacher but on the students. Teachers should also make the subject engaging and interactive to enable students to grasp the content easily and maintain their interest in the subject. Besides, teachers should develop a personalized learning approach that allows students to learn and understand the subject at their own pace while creating opportunities for individual and group learning. Through such learning approaches, students can develop the required mathematical concepts and competencies such as critical thinking, problem-solving, and decision-making skills that will be beneficial in their future endeavors.

In elementary schools, mathematics teaching should be student-centered. It should be engaging and interactive to enable students to grasp the content easily and maintain their interest in the subject.

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Answer:

Use desmos.

Step-by-step explanation:

In the image attached, I graphed the linear function on a graphing calculator. B=7 and the slope is 3.

The volume of a rectangular prism with the width of 9cm, a length of 11cm, and a height of 8 cm is 792 cm³.

Given width of the rectangular prism (W) = 9 cm

The length of the rectangular prism (L) = 11 cm

The height of the rectangular prism (H) = 8 cm

To find out the volume of the rectangular prism we have to multiply the length, width, and height. So, the formula to find the volume of the rectangular prism is L x W x H.

By substituting the given values in the above equation we can obtain the volume of the given rectangular prism.

Volume = L x W x H

             = 11 cm x 9 cm x 8 cm

             = 792 cm³.

From the above explanation, we can conclude that the volume of the given rectangular prism is 792 cm³.

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Answer:

absolute value

Step-by-step explanation:

an absolute value is the distance of a quantity from zero

Answer:

Step-by-step explanation:

integers between and including −5 and 5. Notice that the positive integers go to the right: 1, 2, 3, and so on. The negative integers go to the left: −1, −2, −3, and so on. The distance between a number's place on the number line and 0 is called the number's [absolute value].

Answer:

as lengths of tangents of a circle from an external point are equal so

5x+6 = 56

5x = 50

x = 50/5

D) x = 10

The correct answer is D. Both A and B are correct.

Both a Project Network Diagram and a Gantt Chart are commonly used tools to communicate project status. Each of these tools provides a visual representation of project tasks, their dependencies, and their respective timelines.

A Project Network Diagram, also known as a project schedule network diagram or an activity network diagram, illustrates the sequence and dependencies of project activities. It uses nodes (representing activities) and arrows (representing dependencies) to depict the logical flow of tasks in a project.

A Gantt Chart is a horizontal bar chart that shows project tasks as bars along a timeline. It displays the start and end dates of each task, allowing project managers and stakeholders to visualize the overall project schedule and understand the progress of individual tasks.

Both these tools are effective in communicating project status and can be used together or individually, depending on the project's requirements and preferences of the project team.

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