Find step-by-step Discrete math solutions a. Is {{a, d, e}, {b, c}, {d, f}} a partition of {a, b, c, d, e, f}?
b. Is {{w, x, v}, {u, y, q}, {p, z}} a partition of {p, q, u,v, w, x, y, z}?
c. Is {{5, 4}, {7, 2}, {1, 3, 4}, {6, 8}} a partition of {1, 2, 3, 4, 5, 6, 7, 8}?
d. Is {{3, 7, 8}, {2, 9}, {1, 4, 5}} a partition of {1, 2, 3, 4, 5, 6, 7, 8, 9}?
e. Is {{1, 5}, {4, 7}, {2, 8, 6, 3}} a partition of {1, 2, 3, 4, 5, 6, 7, 8}?

250 milliliters is equal to 0.25 liter

The conversion factor to convert milliliter to liters is 0.001

Therefore, the equation will be,

1  ml = 0.001 liter

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The volume in liters = The volume in ml × conversion factor

Substitute the values in the equation

1 ml = 0.001 liters

250 ml =  0.001 × 250

Multiply the numbers

= 0.25 liters  

Therefore, 250 ml is 0.25 liters

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To convert 5.5 cm to mm, we multiplied the length in centimeters by 10, which gave us 55 mm.

Measurement is an essential concept in mathematics and science that involves determining the size, quantity, or degree of something. The metric system is a standard measurement system that is widely used worldwide, and it includes units such as centimeters and millimeters.

Now, let's move on to your question about converting 5.5 cm to mm. Centimeters and millimeters are both metric units of length, with millimeters being smaller than centimeters. Therefore, to convert from centimeters to millimeters, we need to multiply the measurement in centimeters by 10.

We know that 1 cm is equal to 10 mm. So to convert 5.5 cm to mm, we can use the formula:

5.5 cm × 10 mm/cm = 55 mm

Therefore, 5.5 cm is equivalent to 55 mm.

It's important to note that when measuring, it's essential to use the appropriate units to get accurate results. In this case, we used the millimeter unit, which is suitable for measuring small lengths, to convert the 5.5 cm to a smaller unit, millimeters.

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Answer:

the next fraction in the sequence is 5/7.

Step-by-step explanation:

Any number that can be expressed as a ratio of two integers is called a rational number.

Any number that can be expressed as a ratio of two integers is called a rational number. The word "rational" comes from the word "ratio", which means a comparison of two quantities. In other words, a rational number is a number that can be written in the form p/q, where p and q are integers and q is not equal to 0. For example, 2/3, -5/7, and 1 are all rational numbers, while pi (π) and √2 are not rational because they cannot be expressed as a ratio of two integers.

Rational numbers can be positive, negative, or zero. They can also be expressed in different forms, such as mixed numbers or decimals. However, it is important to note that not all decimals are rational. A decimal is rational if and only if it either terminates or repeats indefinitely. For example, 0.25, 0.5, and 0.333... are all rational decimals, while 0.7 and 0.1234567891011121314... are not rational.

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Answer:Y=20

Step-by-step explanation:

growth

55 kilograms is approximately equal to 121.2541 pounds.

A kilogram (symbol: kg) is the base unit of mass in the International System of Units (SI).

It is currently defined based on the fixed numerical value of the Planck constant, h,

Which is equal to 6.62607015 × 10-34 in the units of J·s.

A pound (symbol: lb) is a unit of mass used in the imperial and US customary systems of measurement.

The international avoirdupois pound (the common pound used today) is defined as exactly 0.45359237 kilograms.

To convert 55 kilograms to pounds,

We need to multiply the value in kilograms by 2.20462,

Since one kilogram is approximately equal to 2.20462 pounds.

Therefore,

55 kilograms multiplied by 2.20462 gives us:

55 kg x 2.20462 = 121.2541 pounds

(rounded to four decimal places)

So, 55 kilograms is approximately equal to 121.2541 pounds.

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If you arrived at a relative's house 45 seconds after leaving home, traveling 90 m, the speed was 2 meters per second.

To find out how fast you traveled, you need to use the formula for speed, which is distance divided by time. In this case, the distance is 90 meters and the time is 45 seconds.

So, you can plug these values into the formula to find your speed:
Speed = Distance / Time
Speed = 90 meters / 45 seconds
Speed = 2 meters per second

Therefore, you traveled at a speed of 2 meters per second. This means that you covered 2 meters in just one second. This is a relatively fast speed, especially if you were walking or running.

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Answer:

100.48ft

Step-by-step explanation:

Use circumference formula

C=2(pi)r

The value of x in the quadrilateral is 8 .

The diagram above is a quadrilateral because it has fur sides. The opposite side of the diagram is equal to each other.

Therefore, let's establish the relationship base on the congruent sides.

The value of x can be found as follows:

5x + 6 = 7x - 10

subtract 7x from both sides of the equation

5x - 7x + 6 = 7x - 7x - 10

-2x + 6 = - 10

subtract 6 from both sides of the equations

-2x + 6 = - 10

-2x + 6 - 6 = - 10 - 6

-2x = -16

divide both sides by -2

-2x / -2 = -16 / -2

x = 8

Therefore,

x = 8

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The given system of equations, option C. The system has a nontrivial solution.

When given a system of three equations with three unknowns, it is possible to determine if the system has a nontrivial solution by using row operations and Gaussian elimination. Nontrivial solutions are solutions that are not all 0.

In the given system of equations, the left-hand side of each equation consists of 3 variables, 4x₁-6x₂+13x₃, 4x₁-10x₂-x₃, and 8x₁+4x₂+14x₃. By performing row operations on the equations, the augmented matrix can be reduced to the form of the identity matrix.

The first row operation performed is to subtract the first row from the second row, resulting in

=> 4x₁-10x₂-x₃ = -2x₁-2x₂+13x₃.

The second row operation is to subtract twice the first row from the third row, resulting in

=> 8x₁+4x₂+14x₃ = 0.

The third row operation is to divide the second row by -2, resulting in

=> 4x₁-10x₂-x₃ = x₁+x₂-13x₃.

This reduced form of the augmented matrix can then be rearranged to the form of the identity matrix, indicating that the system of equations has a nontrivial solution.

Therefore, the answer to the question is that the system has a nontrivial solution

Hence the option (c) is correct.

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1. a. No, points A, C, and E are NOT coplanar.

This is because A and E are outside the plane)

b. The three lines are AE, CD, BC

c. The three collinear points are; A,B,E

d. The intersection of line AB and line CD is BE

A coplanar point is a point that lies in the same plane as one or more other points.

In three-dimensional space, a plane can be defined by at least three non-collinear points. Any additional point that lies on this plane is considered coplanar with those points.

In simpler terms, if you imagine a flat surface like a piece of paper, and you place some points on it, any additional point that you place on that same flat surface will be coplanar with the original points.

It's worth noting that coplanar points do not necessarily have to be in a straight line, as long as they all lie on the same plane.

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Answer:

4P

Step-by-step explanation:

See picture below :)

30 centimeter is approximately equal to 11.8110 inches ( rounded to four decimal places )

To convert 30 cm to inches, we can use the following formula:

1 cm = 0.393701 inches

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

Therefore,

The length in inches = conversion factor × The length in centimeter

Substitute the values in the equation

30 cm = 30 x 0.393701

Multiply the numbers

= 11.8110 inches ( rounded to four decimal places )

Therefore, 30 centimeter is 11.8110 inches

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The 3 sided die is a unique type of dice with three sides instead of the usual six, and the probability of rolling any of the sides is equal to 1/3 or 33.3%.

A 3 sided die, also known as a triangular or tetrahedral die, is a unique type of dice that has three sides instead of the usual six. It is often used in games, puzzles, and simulations that require a random number generator.

Mathematically speaking, the probability of rolling any of the three sides on a 3 sided die is equal to 1/3 or 33.3%. This is because each of the sides has an equal chance of landing face up when the die is rolled.

To calculate the probability of rolling a specific number on a 3 sided die, we divide the number of ways that number can appear by the total number of possible outcomes.

For example, if we want to know the probability of rolling a 2, we would divide 1 (since there is only one side with a 2) by 3 (the total number of sides on the die). This gives us a probability of 1/3 or 33.3%.

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If int j = 3, then the value of J++ is 3.

The post-increment operator ++ increments the value of the variable by 1, but returns the original value of the variable. So when j++ is executed, j is incremented to 4, but the expression evaluates to the original value of j, which is 3.

To see the effect of the increment operator, you could print the value of j before and after the j++ operation:

int j = 3;

System.out.println(j);  // output: 3

j++;

System.out.println(j);  // output: 4

Note - that the pre-increment operator, ++j, would increment the value of j and return the new value, so ++j would evaluate to 4.

j++ is a shorthand notation in many programming languages, including Java and C++, which increments the value of the variable j by 1.

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The simple savings can be calculated using the interest formula. This is given as Interest = P (principal)× R (interest rate)×T (period).

An interest-bearing savings account without the usual minimum balance requirements is used by clients in a simple savings account. The formula used to calculate simple savings is given,

[tex]\text{Interest on savings account} = \text{daily balance} \times \text{rate of interest}\times\frac{\text{no. of days}}{365}[/tex]. And the simple interest is calculated by the following formula,

[tex]\text{Interest} = \mathrm{P (principal)\times R (interest\;rate)\times T (time\;period)}[/tex].

Imagine that you had a savings account with $20,000 and 3% interest paid annually. The interest rate is 0.03, so the formula would be as follows: Interest = $20,000 x 0.03 x 1 = $600. So the value is $600.

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Answer:

Step-by-step explanation:

i ate my dog than did the math

19 cars will pass the intersection in 1 hour.

Division is used to split a number into equal parts.

Given is that 57 cars pass through an intersection in 3 hours.

It is given that 57 cars pass through an intersection in 3 hours.

So, we can write that in 1 hour, the number of cars that will pass are -

{x} = 57/3

{x} = 19

Therefore, 19 cars will pass the intersection in 1 hour.

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5√3 is the measure of the value of x

The given diagram is a right triangle. We need to determine the measure of the side 'x'

Using the trigonometry identity:

tan 60 = x/5

x = 5 tan 60

Simplifying the result, we will have:

x = 5√3

Hence the value of x from the given triangle is 5√3

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Answer:

y = 130 + 75x

My answer is based on the understanding that y is the charge for the service call, x is the number of hours spent on the service call and 130 is the base charge for the service.

Therefore, the 130 dollars is the baseline cost, as it is the charge even if 0 hours are spent. The extra 75 dollars per hour is the additional charge that has to be paid for every each hour that is spent on the job.

Therefore, the equation should be y = 130 + 75x.

Answer: Roughly 104.94 (because we need to use pi, and pi must round because it never ends). I really hope this helps!

Step-by-step explanation:

First, we know that to solve a circle's area, we do a(Area)=pi times radius squared. So, if the diameter of the circle is 14, then the radius is 7 (half of the diameter). That becomes pi (roughly 3.14) times 7 squared, which gives ur roughly 153.94 (because pi is never ending, so we have to round.)

If we know that the circle's area is about 153/94, and we know that the triangle's height is 7(because from the center point to the top point on the triangle, if exactly half of the full circle (diameter/2=radius, and radius is 7). Then, we would do 14 times 7(height times length) and that gives us 98, and divide by 2 which gives us 49.

Subtracting 49 from the circle's area (153.94) gives us an answer of roughly 104.94.

Answer:

area of rhombus here parallelogram

bh

21multiplied by 17.3

363.3cm2

Since the DMAIC cycle stands for Define-Measure-Analyze-Improve-Control, it may be applied to solve any problem. Six Sigma DMAIC can be used if we wish to increase service quality and reduce service variance.

A DMAIC strategy, which identifies, measures, analyzes, improves, and sustains the process, is the foundation of Six Sigma. The DMAIC model is a cycle that uses five basic processes to increase chances for business improvements or eliminate defects: Define, Assess, Examine, Improve, and Manage.

A data-driven quality method used to enhance processes is called DMAIC. Although it is an essential component of a Six Sigma endeavor, it can also be used independently to improve quality or as part of other process improvement projects like lean.

Describe the project's objectives, customer (internal and external) needs, improvement activities, and opportunities for improvement.

Check the efficiency of the process.

To identify the sources of variation and poor performance, analyze the process (defects).

Enhance process performance by addressing and getting rid of the underlying issues.

Control the performance of the enhanced process going forward.

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Uncontrollable factors can have an effect on the result of a scenario or experiment. Here are a few strategies for dealing with such factors:

Recognize the variables, Reduce the impact, Randomization, Statistical analysis, Concentrate on what you can control.

Recognize the variables: The first stage is to identify the uncontrollable elements and acknowledge their possible effect on the result. This allows you to plan for unexpected events and alter your expectations accordingly.

Reduce the impact: Even if you can't control the circumstances, you can reduce their influence by taking particular activities. For example, if weather conditions may have an impact on the result of an outdoor event, you may want to arrange it during a more favourable time of year.

Randomization: When dealing with uncontrolled elements in a scientific experiment, randomization can assist in evenly distributing the impact of these factors among multiple groups.

Statistical analysis: In data analysis, statistical analysis can help to account for the impact of uncontrollable factors. Statistical models can provide more accurate estimates of the influence of a given variable by controlling for other variables and accounting for the variability produced by uncontrolled factors.

Concentrate on what you can control: In many circumstances, it is more productive to focus on what you can control than than fretting about what you can't. You may be able to mitigate the effects of uncontrollable elements to some extent by recognising and maximising the controllable factors.

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Answer:

0.375

Step-by-step explanation:

3/8 as a decimal is 0.375

Answer:

896

Step-by-step explanation:

The least common multiple (LCM) of 16, 28, and 56 is 896. This can be determined by listing the multiples of 16, 28, and 56 and then finding the smallest number that is a multiple of all three numbers. The multiples of 16 are 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272, 288, 304, 320, 336, 352, 368, 384, 400, 416, 432, 448, 464, 480, 496, 512, 528, 544, 560, 576, 592, 608, 624, 640, 656, 672, 688, 704, 720, 736, 752, 768, 784, 800, 816, 832, 848, 864, 880, 896, etc. The multiples of 28 are 28, 56, 84, 112, 140, 168, 196, 224, 252, 280, 308, 336, 364, 392, 420, 448, 476, 504, 532, 560, 588, 616, 644, 672, 700, 728, 756, 784, 812, 840, 868, 896, etc. The multiples of 56 are 56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616, 672, 728, 784, 840, 896, etc. The smallest number that is divisible by 16, 28, and 56 is 896, so 896 is the least common multiple of 16, 28, and 56.

The converted value of 100 percent to a decimal is equal to 1 which is denoted by 1.00.

Converting 100 percent to decimal is divide 100 by 100 we get

1 percent is ( 1 / 100 )decimal

Substitute the required value of 100 percent we get,

⇒ 100 percent = ( 100 / 100 ) decimals

⇒ 100 percent = ( 1.00 ) decimals

Therefore, the conversion of 100 percent to decimal is given by 1.00 .

The above question is incomplete , the complete question is:

How to convert 100 percent as a decimal ?

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The equation of the line through (1, 2) which is perpendicular to y =(-1/5)x + 1 is y = 5x - 4

An equation is an expression that shows the relationship between two numbers and variables using mathematical operations like addition, subtraction, multiplication, exponents

The standard form of a linear function is:

y = mx + b

where m is the rate of change (slope) and b is the y intercept

Two lines are perpendicular if the product of their slope is -1.

Given the line y =(-1/5)x + 1. The line perpendicular to y =(-1/5)x + 1 would have a slope of 5.

The line  perpendicular to y =(-1/5)x + 1 that includes the point (1, 1), is:

y - y₁ = m(x - x₁)

substituting:

y - 1 = 5(x - 1)

y = 5x - 4

The equation of the line is y = 5x - 4

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The six trigonometric functions are mathematical functions used in geometry and trigonometry to describe the relationships between angles and sides of triangles.

The six trigonometric functions are:

Sine (sin): The sine of an angle is the ratio of the length of the side opposite the angle to the length of the hypotenuse of a right triangle.

Cosine (cos): The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse of a right triangle.

Tangent (tan): The tangent of an angle is the ratio of the length of the side opposite the angle to the length of the adjacent side of a right triangle.

Cotangent (cot): The cotangent of an angle is the ratio of the length of the adjacent side to the length of the side opposite the angle of a right triangle.

Secant (sec): The secant of an angle is the reciprocal of the cosine of the angle, or the ratio of the hypotenuse to the adjacent side of a right triangle.

Cosecant (csc): The cosecant of an angle is the reciprocal of the sine of the angle, or the ratio of the hypotenuse to the opposite side of a right triangle.

The six trigonometric functions can be used to solve various problems in mathematics, physics, and engineering, among other fields.

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The value of 7*2 will be = 14

As per question,

We need to find the value of 7*2

For finding the value of given expression, we will use the identity of multiplication.

So, applying the multiplication identity:

We can write the above as:

(7*2) = (7+7) = 14

Multiplication is a way of calculating the product of two or more integers in mathematics. It is one of the most fundamental mathematical operations that we utilise every day.

Multiplication is the process of taking one integer and multiplying it by a certain number of times. 5 multiplied by 4 is 5 + 5 + 5 + 5 = 20. We took the number 5 and multiplied it by four. This is why multiplication is often known as "times".

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