Solve and graph the inequality.
-4 < 4x < 20

Implementing multiple types of technology and thereby precluding that the failure of one system will compromise the security of information is referred to as redundancy.

Explanation:

Redundancy is the term used to describe the use of multiple components in a system to ensure that the failure of one component does not lead to system failure. Redundancy is a method of protecting computer systems against damage and disruption caused by component failure.The use of redundancy in computer systems is usually targeted at increasing system availability and lowering the likelihood of data loss.

                                       Multiple types of technology may be employed to achieve redundancy in a computer system, such as mirroring data across multiple disks, deploying standby servers, using a hot backup server, and so on. Redundancy can be implemented in numerous ways to provide reliable service and protect against system failure.

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The properties of a parallelogram indicates that the variables in the segments and angles are;

A parallelogram is a four sided figure with two pairs of sides that are parallel.

Whereby the figures are parallelogram, we get;

The length of the opposite sides are the same, therefore;

1. b + 1 = 2·b

1 = 2·b - b = b

1 = b

b = 1 (symmetric property)

3·a - 4 = a + 2

3·a - a = 4 + 2

2·a = 6

a = 6/2 = 3

a = 3

2. The opposite angles of a parallelogram are congruent, therefore;

(y + 10)° = (2·y - 40)°

10 + 40 = 2·y - y = y

50 = y

y = 50

The adjacent interior angles of a parallelogram are supplementary, therefore;

(4·x)° + (2·y - 40)° = 180°

(4·x)° + (2 × 50 - 40)° = 180°

(4·x)°  = 180° - (2 × 50 - 40)° = 60°

x = 60°/4 = 15°

x = 15

3. The diagonals of a parallelogram bisect each other, therefore;

y + 3 = 12

y = 12 - 3 = 9

y = 9

x - 3 = 15

x = 15 + 3 = 18

x = 18

4. The diagonals of a parallelogram bisect each other therefore;

x + 6 = 4·x

4·x = x + 6

4·x - x = 6

3·x = 6

x = 6/3 = 2

x = 2

5·y - 8 = 3·y + 1

5·y - 3·y = 1 + 8 = 9

2·y  = 9

y = 9/2 = 4.5

y = 4.5

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Answer:

Step-by-step explanation:

(4x - 5)(4x + 5) Option 1

16x^2 + 20x - 20x - 25

Answer:

x=7

Step-by-step explanation:

28/4 = 7

Answer:x=7

Step-by-step explanation:

Therefore, the amount of heat produced when 52.40 g of methane, CH4, burns in an excess of air is -39568.2 kJ

The amount of heat produced when 52.40 g of methane, CH4, burns in an excess of air can be calculated using the following equation:

[tex]Q = mcΔT[/tex]

Where Q is the amount of heat produced (in kJ), m is the mass of the methane (in g), and ΔT is the change in temperature (in K).

Using the equation, the amount of heat produced can be calculated as follows:

Q = [tex](52.40 g)(-753.15 K) = -39568.2 kJ[/tex]
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Answer:

Step-by-step explanation:

he's rich

Xavier will have $1278 left over from his paycheck after spending 20% on a new mattress and 29% on fixing a leak.

To find out how much will be left over from Xavier's paycheck after he spends 20% on a new mattress and 29% on fixing a leak, we can follow these steps:

Therefore, Xavier will have $1278 left over from his paycheck.

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Answer:

For me it's C.

Step-by-step explanation:

the third one if you would like me to explain tell me.

The solutions to the trigonometric equations [tex]2cos(x) - \sqrt{30} = 0[/tex] in the interval [tex][0, 2\pi)[/tex] are x ≈ [tex]0.5514 + 2n\pi[/tex], where n is an integer.

Given that the equation  [tex]2cos(x) - \sqrt{30} = 0[/tex] in the interval [tex][0, 2\pi)[/tex]

To find all the solutions to the equation  [tex]2cos(x) - \sqrt{30} = 0[/tex] in the interval [tex][0, 2\pi)[/tex] ,  solve for x by isolating the cosine term and then applying the inverse cosine function.

Here are the steps to solve the equation:

Add [tex]\sqrt{30}[/tex] to both sides:

[tex]2cos(x) = \sqrt{30}[/tex]

Divide both sides by 2:

[tex]cos(x) = \sqrt{30} / 2[/tex]

Find the inverse cosine ([tex]cos^{-1}[/tex]) of both sides:

[tex]x = cos^{-1}(\sqrt{30} / 2)[/tex]

To determine the values of x in the interval [tex][0, 2\pi)[/tex] that satisfy the equation.

Evaluate [tex]cos^{-1}(\sqrt{30} / 2)[/tex] to find its approximate value.

[tex]cos^{-1}(\sqrt{30} / 2) = 0.5514[/tex] radians

Since the cosine function has a periodicity of [tex]2\pi[/tex], we can find other solutions by adding multiples of [tex]2\pi[/tex] to the initial solution.

So, the solutions in the interval  [tex][0, 2\pi)[/tex] are:

x ≈ 0.5514 radians

x ≈ [tex]0.5514 + 2\pi[/tex]

x ≈ [tex]0.5514 + 4\pi[/tex]

...

To simplify, express the solutions as:

x ≈ [tex]0.5514 + 2n\pi[/tex]

where n is an integer.

Therefore, the solutions to the trigonometric equations [tex]2cos(x) - \sqrt{30} = 0[/tex] in the interval [tex][0, 2\pi)[/tex] are x ≈ [tex]0.5514 + 2n\pi[/tex], where n is an integer.

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the correct answer is: none of these, as only binomial distribution is applicable to this scenario.

a) This scenario follows the binomial distribution, as we are drawing marbles with replacement and interested in the number of successes (getting a blue marble) in a fixed number of trials.

b) The Poisson distribution is used to model the number of events occurring in a fixed time interval, given a certain rate of occurrence. It is not applicable in this scenario.

c) The hypergeometric distribution is used to model the probability of obtaining a certain number of successes in a sample without replacement, given a finite population of items that can be classified into successes and failures. In this scenario, we are drawing with replacement, so the hypergeometric distribution is not applicable.

d) Therefore, the correct answer is: none of these, as only binomial distribution is applicable to this scenario.

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Given:-

[tex] \: [/tex]

Solution:-

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

__________________

hope it helps ⸙

The probability of selecting two non-defective DVD players from a group of six is 2/5. This is based on the assumption that the selection is done without replacement.

We can use the formula for calculating probabilities of combinations:

P(not defective) = number of ways to choose 2 non-defective DVD players / total number of ways to choose 2 DVD players

Total number of ways to choose 2 DVD players out of 6 is:

C(6,2) = 6! / ([2!] [4!]) = 15

Number of ways to choose 2 non-defective DVD players out of 4 is:

C(4,2) = 4! / ([2!] [2!]) = 6

Therefore, the probability that Cecil chooses 2 non-defective DVD players is:

P(not defective) = 6/15 = 2/5

So the value of P(not defective) is 2/5.

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The value of ∠FDE is 36°

An angle is a geometric figure formed by two rays, or lines that extend infinitely in opposite directions, that share a common endpoint called the vertex. The measure of an angle is determined by the amount of rotation between the two rays.

Here given a right angle ∠CDE = 90°

So, we can say that,

∠CDF + ∠FDE = ∠CDE

(2x)° + (x+9)° = 90°

(3x + 9)° = 90°

Simplify it, x = 27°

So, the value of ∠FDE = (x+9)° = (27+9)° = 36°

Therefore, the value of ∠FDE is 36°

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The angle FDE is 36°. The required answer for the given question is option (A). 36°.

Trigonometry angles are the angles provided by the trigonometric function ratios. Trigonometry is the study of the connection between angles and triangle sides. Angle values vary from 0 to 360 degrees.

An angle is a shape in geometry made by two rays or lines that stretch indefinitely in opposite directions and have a common endpoint known as the vertex. The quantity of rotation among the two rays determines the size of an angle.

From the given figure,

∠CDF + ∠FDE = 90

Thus,

(2x)+(x+9) = 90

3x + 9 = 90

3x = 81

x = 27

Then we will have that the angle FDE is:

∠FDE = (27) + 9

∠FDE = 36

The angle of FDE is 36°

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Answer: The area of a triangle is 1036.8 square units.

To find the area of a triangle, we can use the formula

Area = (1/2) * base * height

In this case, we are given that the first base is 32 and the second base is twice the first base, or 2*32 = 64. The height is given as 21.6. Therefore, we can plug these values into the formula and solve for the area:

Area = (1/2) * (32 + 64) * 21.6

Area = (1/2) * 96 * 21.6

Area = 1036.8

Therefore, the area of the triangle is 1036.8 square units.

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Answer: 17.888543819998

Step-by-step explanation:

Answer:

17.8885

Step-by-step explanation:

find the geometric mean between 16 and 20, we need to multiply the numbers and take the square root of the result. That is:

Geometric Mean = √(16 × 20)

Geometric Mean = √320

Geometric Mean ≈ 17.8885

Therefore, the geometric mean between 16 and 20 is approximately 17.8885.

The coordinate of the point U that divides the line ST in the ratio 2:5 is: (12:6)

The formula for the division of line segments in the ratio m:n is

P = {[(mx2 + nx1)/(m + n)], [(my2 + ny1)/(m + n)]}

We are given the coordinates of line Segment ST as: S(10, 2) and T(17, 16)

Thus, if the ratio is 2:5, we have:

U(x, y) = {[(2*17 + 5*10)/(2 + 5)], [(2*16 + 5*2)/(2 + 5)]}

U(x, y) = (84/7), (42/7)

U(x, y) = (12, 6)

Thus, that is the coordinate of the point U that divides the line ST in the ratio 2:5.

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Martin will have to wash 96 cars each month on average to meet his goal of washing 1,200 cars this year.

What is average ?

Average, also known as mean, is a statistical measure that represents the central value of a dataset. It is calculated by adding up all the values in the dataset and dividing by the total number of values. The average can be used to provide a general idea of the value of the dataset and to compare different datasets. There are different types of averages, including arithmetic mean, geometric mean, and median.

According to the question:
To find out how many cars Martin will have to wash each month on average, we need to first find out how many weeks there are in a year:

52 weeks/year

Then we can use this information to calculate how many cars Martin will have to wash each week:

1,200 cars/year ÷ 52 weeks/year = 23.08 cars/week

Since Martin cannot wash a fraction of a car, he will have to round up to 24 cars/week.

Finally, we can calculate how many cars Martin will have to wash each month on average:

24 cars/week x 4 weeks/month = 96 cars/month

Therefore, Martin will have to wash 96 cars each month on average to meet his goal of washing 1,200 cars this year.

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Answer:

x = 17/4, or 4.25

The x-intercept is (4.25, 0)

Step-by-step explanation:

We can get the intercepts by isolating x and y.

4x - 3y = 17

Subtract 4x from both sides.

-3y = -4x + 17

Divide both sides by -3.

y = 4/3x - 17/3

Input 0 for x.

y = -17/3

The y-intercept is (0, -17/3)

4x - 3y = 17

Add 3y to both sides.

4x = 3y + 17

Divide both sides by 4.

x = 3/4y + 17/4

Input 0 for y.

The percentile rank of age 30 is 27.586%.

The percentile rank of age 30 can be calculated using the following equation:

Percentile rank = (number of scores below 30 / total number of scores) x 100

In this case, the total number of scores is 29, and there are 8 scores below 30 (18, 21, 22, 25, 26, 27, 29, and 30). Therefore, the percentile rank of age 30 is:

(8/29) x 100 = 27.586%

The percentile rank of age 30 is 27.586%.

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Option (C) is correct which is "Jessie should use volume to determine that the cardboard box requires 240 in3 of paint."

The measurement of three-dimensional space is volume.

It is typically quantified using a variety of imperial or US-standard units as well as SI-derived units.

The concept of length and volume are related.

Volume is the three-dimensional space inhabited by matter or encompassed by a surface, and it is measured in cubic units.

The SI unit of volume is the cubic meter (m³), which is a derived unit.

So, the volume would be:

length x breadth x height

Step 1 : substitute the values given

Step 2 : 10 x 4 x 6

Then, we got: 240 inches

Therefore, option (C) is correct which is "Jessie should use volume to determine that the cardboard box requires 240 in3 of paint."

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Answer:

c

Step-by-step explanation: I was correct

Ten chairs are arranged in a circle. The number of subsets of this set of chairs that contain at least three adjacent chairs is 310.

The given that 10 chairs arranged in a circle.

            Now we have to find the number of subsets of this set of chairs that contain at least three adjacent chairs.

           To solve this, we can use the concept of permutations and combinations. The first step is to consider the number of ways in which three chairs can be selected and arranged in a subset that is adjacent to each other.

           This can be done in 10 different ways, as there are 10 chairs in total and we can select any one of them as the starting point.

           The next step is to consider the number of ways in which we can add additional chairs to this subset. For example, we can add a fourth chair to the subset in two different ways: either to the left of the first chair or to the right of the third chair.

            Similarly, we can add a fifth chair to the subset in four different ways, a sixth chair in six different ways, and so on. Using this logic, we can create the following table:

                    Length of subset number of ways to select the subset number of ways to add chairs

           Total number of subsets31 (adjacent)

                                = 10  ---43 (adjacent) 10*2

                                =20---55 (adjacent)10*4

                                =40---67 (adjacent)10*6

                                =60---79 (adjacent)10*8

                               =80---810 (adjacent)10*10

                               =100---

              As we can see from the table, the total number of subsets that contain at least three adjacent chairs is given by:

           Total number of subsets = 10 + 20 + 40 + 60 + 80 + 100

                                                     = 310

       Therefore, the number of subsets of this set of chairs that contain at least three adjacent chairs is 310.

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The four uppercase letters of the alphabet in block style with rotational symmetry are H, I, O, and X. Rotational symmetry refers to the property of a figure or object that appears identical after being rotated around a central point by a certain angle.

In block style writing, letters are written with straight lines and sharp corners, creating a uniform and geometric appearance. H, I, O, and X are the only uppercase letters that have rotational symmetry and can be written in block style.

H has a rotational symmetry of 180 degrees, meaning it looks the same when rotated 180 degrees around its center point.

I has a rotational symmetry of 180 degrees as well, with the dot above the letter acting as its center point.

O has a rotational symmetry of 360 degrees, meaning it looks the same when rotated any number of degrees around its center point.

Lastly, X has a rotational symmetry of 180 degrees, with the intersection of the two lines acting as its center point.

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Therefore , the solution of the given problem of function comes out to be  growth factor resulting from the 4.6% yearly growth rate is represented by the constant factor e(0.046t).

On the midterm exam, there will be inquiries on design, arithmetic numbers, every class, and both actual and hypothetical places. a description of the connections between various components that come together to produce the same outcome. A service is built from a variety of unique parts that work together to deliver unique outcomes for each input. Each post also has a location, which might be the enclave, a municipality, or even something else altogether.

Here,

The value of the stock t years since 2000 can be represented by the function by assuming that the stock's value increases constantly at a rate of 4.6% per year:

=> V(t) = 1569 * e^(0.046t)

where t is the number of years since the year 2000 and e is the algebraic constant

=>e = 2.71828.

With this function, exponential growth is represented by multiplying the stock's starting value in the year 2000 (1569) by the constant factor e(0.046t) to get the value of the stock t years later.

The growth factor resulting from the 4.6% yearly growth rate is represented by the constant factor e(0.046t).

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The key features of both equations are:

Equation 1 has a vertex at (1, -16) and opens upwards. Its axis of symmetry is x = 1

Equation 2 has a vertex at (2, 2) and opens upwards. Its axis of symmetry is x = 2.

To rewrite each equation in vertex form, we need to complete the square by adding and subtracting a constant from each equation.

y = x² - 2x - 15

y = (x - 1)² - 16

The vertex form of the equation is y = a(x - h)² + k, where (h, k) is the vertex. In this case, the vertex is (1, -16).

y = 2x² - 8x + 6

y = 2(x - 2)² + 2

The vertex form of the equation is y = a(x - h)² + k, where (h, k) is the vertex. In this case, the vertex is (2, 2).

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In the following question, among the conditions given, the cop of a Carnot refrigerator, when t(cold) is 275 k and t(hot) is 158 c. Then the COP of the Carnot refrigerator is 1.76 (written as a fraction "88/50").

The COP of a Carnot refrigerator is calculated as: COP = T(Cold) / (T(Hot) - T(Cold))The COP of a Carnot refrigerator is given by the formula:

COP = T(Cold) / (T(Hot) - T(Cold))Where T(Cold) is the temperature of the cold reservoir and T(Hot) is the temperature of the hot reservoir.

T(Cold) = 275 K and T(Hot) = 158 °C = 431 K By substituting these values into the formula: COP = 275 / (431 - 275)COP = 275 / 156COP = 1.76 The COP of the Carnot refrigerator is 1.76 (written as a fraction 88/50).

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The exponentially smoothed forecast for period 4 is 106.6.

As per given information,

Time period Actual series  Forecast series  Forecast error  1  100  100 0 2 110 3 115

Smoothing constant α=0.3

For calculating exponentially smoothed forecast for period 4,

First, we need to calculate exponentially smoothed forecast for period 2.

Smoothed forecast for period 2 = α (Actual demand for period 1) + (1-α) (Smoothed forecast for period 1)

= 0.3 (100) + (0.7) (100)= 30 + 70= 100

Next, we can calculate exponentially smoothed forecast for period 3.

Smoothed forecast for period 3 = α (Actual demand for period 2) + (1-α) (Smoothed forecast for period 2)

= 0.3 (110) + (0.7) (100)

= 33 + 70

= 103

Now, we can calculate exponentially smoothed forecast for period 4.

Smoothed forecast for period 4 = α (Actual demand for period 3) + (1-α) (Smoothed forecast for period 3)

= 0.3 (115) + (0.7) (103)= 34.5 + 72.1

= 106.6

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Answer:

y = -2/3x + 1/3

Step-by-step explanation:

2x + 3y = 1

3y = -2x + 1

y = -2/3x + 1/3

To sketch:

Pretend x is 3. y would be -1 2/3.

Now that you have this point, draw through the point (0, 1/3).

There ya go