What is 51/16 as a Decimal?

The fraction 22 1/4 divided by 890 gives 1/40 or 0.025.

Mixed fractions are type of fractions which consist of a whole number part and a fractional part.

Mixed fractions are of the form a b/c where a is the whole number part and b/c is the fractional part.

Given is a mixed fraction 22 1/4.

This has to be first converted to improper fraction.

22 1/4 = (22 × 4 + 1) / 4 = 89/4

Now we have to divide the fraction 89/4 by 890.

89/4 ÷ 890 = 89/4 × 1/890  

(since in the division of fractions, the second term becomes the reciprocal and the operation changes to multiplication).

89/4 ÷ 890 = 89/4 × 1/890  

                   = 1/40

                   = 0.025

Hence the quotient when 22 1/4 divided by 890 is 0.025.

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The expression for the magnetic flux through the hemispherical surface of the bowl is EπR².

Hemisphere:

The word hemisphere can be divided into hemisphere and sphere. Hemisphere means half, and sphere means three-dimensional shape in mathematics. Thus, a hemisphere is a three-dimensional geometric shape that is a hemisphere that is flat on one side and a round bowl on the other. It is formed when a sphere is cut exactly down the center along its diameter, leaving two identical hemispheres.

The volume of a hemisphere is the number of unit cubes that can fit inside it. The units of volume are cubic units, such as m³, cm³, ft³ and so on.

The volume of a hemisphere = 2/3πr³

where

r is the radius of the hemisphere.

According to the Question:

Flux passing through the curved surface is equal to the flux passing through the flat surface.

Since flux through the flat surface    

ϕ flat = E× Area

         = E× πR²

The electric flux through a closed surface is 1/E₀ times the total charge unclosed.

By Gauss's law, flux ,

Since number of field lines entering from circular side is equal to number of field lines leaving the hemispherical surface, net flux is 0.

Therefore,

(Flux)h + (flux)c = 0     -------------------------(1)

[* (flux)h means flux from hemispherical surface and (flux)c means flux from circular surface]

Therefore,

(flux)h = - (flux)c     ---------------------------- (2)

Flux = E.A [ Where E and A are vectors ]

Flux = E A cos θ

(Flux)c = EA cos π [ Because field and surface area vector are anti parallel]

(flux)c = E πR² (-1)    ------------------------------ (3)

From equation (2) and (3)

   (flux)h = - (- EπR²)

⇒ (Flux)h = EπR²

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Answer:

∠S possibility is 65 degrees and 115 degrees

Step-by-step explanation:

∠S + ∠T + ∠U = 180

Substituting the given values, we get:

∠S + ∠T + 79 = 180

Simplifying, we get:

∠S + ∠T = 101

We also know that the sides of a triangle are related to the angles opposite them by the law of sines:

a/sin A = b/sin B = c/sin C

In this case, we can use the following ratio:

ST/sin S = UT/sin U

Substituting the given values, we get:

ST/sin S = UT/sin 79

ST = s = 56 cm

UT = u = 94 cm

Solving for sin S, we get:

sin S = (ST × sin 79) / UT

sin S = (56 × sin 79) / 94

sin S ≈ 0.906

Taking the inverse sine, we get:

∠S ≈ 65 degrees or ∠S ≈ 115 degrees

Therefore, the possible values of ∠S are approximately 65 degrees and 115 degrees, to the nearest degree.

On converting the weight of 166 lbs to Kg , we get that 166 lbs is equivalent to 75.29  Kg .

One Kilogram (Kg) is defined as the base unit of mass in the International System of Units (SI). and

One Pound (lb) is defined as a unit of mass which is commonly used in the United States to measure the weight .

We know that ; 1 pound is approximately equal to 0.4535 Kilograms ;

To convert 166 lbs to Kg ; we multiply the given weight with 0.4535 ;

We get ;

⇒ 166 lbs = 166 × 0.4535 Kg ;

⇒ 166 lbs = 75.281 Kg ≈ 75.29 Kg .

Therefore , 166 pounds is approximately equal to 75.29 Kilograms .

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The two angles in the ratio of 5:18 are 50° and 130° respectively. To determine this, we can use the fact that the sum of the angles in any quadrilateral is 360°.

Therefore,

where x and y are the two angles in the ratio of 5:18.

We can then solve for x and y by setting up the proportion

and then solving for x and y.

This gives us

Therefore, the two angles in the ratio of 5:18 are 50° and 130°.

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The conversion of a fraction number with denominator 5 and numerator 2 , 2/5 in decimals is equals to the 0.4 value.

A decimal number can be defined as a number whose whole number part and fractional part are separated by a decimal point. Writing 2/5 as a decimal number by converting the denominator to powers of 10. We multiply the numerator and denominator by a number so that the denominator is a power of 10.

2/5 = (2 × 2) / (5 × 2) = 4/10

Now move the decimal point to the left as many places as there are zeros in the denominator, which is a power of 10.

The decimal moved one place to the left because the denominator was 10. Therefore, 4/10 = 0.4. Hence, required value is 0.4.

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Solving the equation explicitly for y and differentiating we get y' = -1/(x - 1)²

Differerentiation is the process of finding the derivative of a function.

Since we have the equation 1/x + 1/y = 1, to solve explicitly for y, we make y subject of the formula.

So, 1/x + 1/y = 1

1/y = 1 - 1/x

y = 1/(1 - 1/x)

To find y', we differentiate y with respect to x.

So, y' = dy/dx

= d[1/(1 - 1/x)]/dx

Let u = 1 - 1/x  

So,y' = d(1/u)/dx

= d(1/u)/du × du/dx

Now,

So, substituting these into dy/dx, we have that

y' = = d(1/u)/du × du/dx

= -1/u² × 1/x²

= -1/(ux)²

= -1/[(1 - 1/x)x]²

= -1/(x - 1)²

So, y' = -1/(x - 1)²

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At the end of the fourth minute, the point 'g' would be at the position of 9605961 on the line segment TS.

As per the question, at the end of the first minute,  g covers 1/100th of the remaining segment, which is 1/100 × 10000000 = 100000 units. Therefore, the position of point g would be at 10000000 - 100000 = 9900000 at the end of first minute.

At the end of second minute, g covers another 1/100th of the remaining segment, which is 1/100 × 9900000 = 99000 units. So, the position of point g would be now 9900000 - 99000 = 9801000.

On the third minute's end ,  g would covers another 1/100th of the remaining segment, which is 1/100 × 9801000 = 98010 units. Therefore, the position of point g would be at 9801000 - 98010 = 9702990.

For fourth minute's end, point g covers another 1/100th of the next remaining segment, which is 1/100 × 9702990 = 97029 units. Therefore, the final position of point g would be at 9702990 - 97029 = 9605961 units.

Therefore, at the end of the fourth minute, point g would be finally at the position of 9605961 on the line segment TS.

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The correct question is :

imagine a line segment ts of length 10000000 and point g moving from t=10000000 toward s=0, so that it cuts 1/100th of the remaining segment each minute. For example, at the the end of first minute g1 is at 99,00,000. Where is g at the end of fouth minute (g4) ?

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The correct option is A: A linear pair is two adjacent, supplementary angles.

Supplementary angles are a pair of angles whose measures add up to 180 degrees. In other words, if we place two angles side by side, and their measures add up to 180 degrees, then they are said to be supplementary.

For example, if we have an angle with a measure of 120 degrees, then its supplementary angle would have a measure of 60 degrees, since 120 + 60 = 180. It's important to note that the two angles in a pair of supplementary angles do not have to be adjacent, meaning they can be located anywhere in a figure, as long as their measures add up to 180 degrees.

Supplementary angles play an important role in geometry and mathematics, especially when it comes to solving problems involving angles. For instance, if we know that two angles are supplementary, and we know the measure of one of the angles, we can easily calculate the measure of the other angle by subtracting the known measure from 180 degrees.

In addition, supplementary angles are often used in real-life situations, such as when designing buildings, bridges, or other structures that require precise measurements of angles. Overall, understanding the concept of supplementary angles is crucial for anyone who wants to study and understand geometry and mathematics.

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Answer:

Printer B, because the approximate rate of Printer A, $0.27 per page, is greater than the approximate rate of Printer B, $0.25 per page

Step-by-step explanation:

Rate of cost for printer A = $26.99/100 pages
= $ 0.2699 ≈ $0.27 per page

Rate of cost for printer B = $67.99/275 pages

=$ 0.2472 ≈ $0.25 per page

0.25 < 0.27

So Printer B has the better rate of cost

Answer:Printer B, because the approximate rate of Printer A, $0.27 per page, is greater than the approximate rate of Printer B, $0.25 per page

Step-by-step explanation:

After converting 6.25% into fraction we get 16/256 or 1/16.

The percentage means divied by hundred.

A fraction consists of two parts one is the numerator and other is denominator.

Where the number which is written in upper most part of the line is called numerator, and the number bottom most part of the line is called denominator.

To convert a percentage into a fraction divide the percentage by 100,

And simplify the resulting fraction.

So,

To convert 6.25% to a fraction,

We divide 6.25 by 100:

6.25% ÷ 100 = 0.0625

Divide by 0.0625

0.0625 ÷ 0.0625 = 1

1 ÷ 0.0625 = 16

Therefore,  After simplification 6.25% is equal to 16/256 or 1/16.

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0.14382470119, rounded to 0.14, is the answer.

Answer: 0.1438 (to 4 decimal places)

a) With V=0 at infinity, what is the electric potential at corner A  is -5.07 μC and corner B is = +2.48 μC.

b) The amount of work is required to move a charge from B to A along a diagonal of the rectangle is -2.59 μC.

c) Yes, this work increase the electric potential energy of the three-charge system inside the rectangle but not on a diagonal and outside the rectangle.

The electric potential at a point in a rectangle can be calculated using the electric potential equation. In the given figure, we have a rectangle with sides of length 4.34 cm and 18.5 cm, with charges q1 = -5.07 μC and q2 = +2.48 μC.

=> -5.07 + 2.48 = -2.59

To find the electric potential at corner A and corner B, we must first calculate the electric field from the two charges.

If V=0 at infinity, then the electric potential at corner A and corner B can be calculated using the electric potential equation given by V = ∫E⋅dr.

The amount of work required to move the same charge q3 from point B to point A along a path that is inside the rectangle but not on a diagonal and outside the rectangle will be different.

This is because the path of the charge will determine the electric field and electric potential at each point.

If the path is longer and passes through areas of higher electric potential, then more work will be required to move the charge

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Using the inequality 38+4x≤61 shown to represent the situation, based on the solution that x ≤ 5.75, the true statement is A. Sam went on at most 5 rides.

Inequality is an algebraic statement showing that two or more mathematical expressions are unequal.

Inequalities are represented as:

The total amount Sam has to spend at the amusement park = $61

The entrance fee = $20

The unit cost of a game = $3

The unit cost of a ride = $4

The total number of games Sam plays = 6

The amount spent on games = $18 ($3 x 6)

The total known cost = $38 ($20 + $18)

Let the number of rides Sam goes on = x

38 + 4x ≤ 61

Thus, the correct statement about the inequality is Option A.

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Answer:

5.90551 inches

Step-by-step explanation:

To solve for the number of inches, we can use this equation:

15 × 0.393701 = 5.90551

Therefore, for every 15 cm, it is equivalent to 5.90551 inches.

Kilometers per hour (km/h) and miles per hour (mph) are both units of speed used to measure how fast something is moving.

Kilometers per hour are the standard unit of speed used in most countries that use the metric system, while miles per hour is more commonly used in the United States and other countries that use the imperial system.

To convert km/h to mph, you can multiply the speed in kilometers per hour by 0.621371. This conversion factor is based on the fact that one mile is equivalent to 1.60934 kilometers. Converting between these two units is a common task when traveling, driving, or using fitness trackers or GPS devices.

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The community developed the 8 Values Test to assess a person's political position in light of eight essential political tenets. I am standing at 5 in the 8 value test.

The "8 values test" is a political assessment tool that compares and contrasts eight political philosophies: capitalism vs. socialism, traditionalism vs. progressivism, nationalism vs. globalism, libertarianism vs. authoritarianism, democracy vs. elitism, pacifism vs. militarism, ecology vs. production, and decentralization vs. centralization.

The exam generates a political compass based on their responses and presents them on a graph.

The 8 Values Political Test is distributed under the terms of the MIT License.

The 8 Values Political Test is not interchangeable with the Political Compass Test, a registered trademark of Pace News Ltd, or the Political Coordinates Test, a creation of IDRlabs.

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The mean weight of a randomly chosen vehicle is 3500 pounds.

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean.

We are given that the weight of a randomly chosen american passenger car is a uniformly distributed random variable ranging from 1,749 pounds to 4,039 pounds.

Let X= weight of the passenger car

a/q, X is u(1,749, 4,039)

we know that mean= a+b/2

so a=1,749, b=4,039

hence, mean=1,749 +4,039/2

mean=3500 pounds

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According to the concept of measurement, 30 cm is equal to 11.811 in.

Measurement conversion is an important skill to have in many areas of life, including science, construction, and cooking. Knowing how to convert measurements from one unit to another can be especially helpful when dealing with international standards, as different countries often use different units of measurement.

In this question, we will explain how to convert 30 cm to in, using simple mathematical formulas.

Firstly, it is important to understand the basic units of measurement that we will be dealing with. The unit of measurement for length in the metric system is the centimeter (cm), while the unit of measurement for length in the imperial system is the inch (in).

To convert 30 cm to in, we need to use a conversion factor, which is a ratio of equivalent values expressed in different units. The conversion factor for cm to in is 1 inch equals 2.54 cm. This means that one inch is equal to 2.54 cm, or conversely, one cm is equal to 0.3937 inches.

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

30 cm x 0.3937 in/cm = 11.811 in

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Answer:

81 2/3

Step-by-step explanation:

69 2/9 - ( - 12 4/9)

= 69 2/9 + 12 4/9

Add the whole parts to get 69 + 12 = 81

Add the fractional parts: 2/9 + 4/9 = 6/9 = 2/3

So
69 2/9 - (-12 4/9) = 81 2/3

we have seen that the connection of logical equivalence on the arrangement of all compound propositions is an equivalence connection.

What's more, the equivalence classes of F,T are :

[tex][F]_{R}[/tex] = Set, all things considered,

[tex][T]_{R}[/tex] = Set of all redundancies .

We have been given :

A= Set of every single compound suggestion

R= Logical equivalence of compound propositions .

We need to show that the connection of logical equivalence on the arrangement of all compound propositions is an equivalence connection i.e.R is an equivalence connection .

Then, at that point, we have find the equivalence classes of F and T .

To show that R is an equivalence connection, we need to demonstrate that the connection R is reflexive, transitive and symmetric .

Reflexive

We will let a ∈ A.

As, a compound suggestion is in every case logically comparable to itself .

In this manner, a ≡ a, which suggests that (a,a) ∈ R.

Thus,R is reflexive .

Symmetric

We will let(a,b) ∈ R.

This implies that a ≡ b.

On the off chance that an and b have a similar truth table, b and a have a similar truth table .

Thus, by the evenness of logical equivalences, we get : b ≡ a

which suggests (b, a) ∈ R.

In this way, R is symmetric.

Transitive

We will let (a,b) ∈ R and (b,c) ∈ R.

This infers that :

a ≡ b

b ≡ c .

If an and b have a similar truth table and in the event that b and c have a similar truth table then,a and c

have a similar truth table.

Thus, by transitivity of logical equivalences, we get: a ≡ c

which suggests that (a,c) ∈ R.

Along these lines, R is transitive.

Presently, we can infer that R is an equivalence connection.

Presently, we need to find the equivalence classes of Fand T.

The equivalence class of F has every one of the logical equivalences that are misleading. Also, such logical equivalences are contradictions.

Accordingly,

[tex][F]_{R}[/tex] = Set, everything being equal.

The equivalence class of T have every one of the logical equivalences that are valid. Furthermore, such logical equivalences are redundancies .

Hence,

[tex][T]_{R}[/tex] = Set, all things considered.

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Answer:

Step-by-step explanation:

Try putting it in Y= in the calculator

In mathematics, the term "orthogonal" refers to a relationship between two objects where they are perpendicular or at right angles to each other.

More generally, it refers to a relationship where two objects are independent or uncorrelated with each other. For example, in Euclidean geometry, two lines are orthogonal if they meet at a right angle. In linear algebra, two vectors are said to be orthogonal if their dot product (also known as inner product) is zero. Similarly, in statistics, two variables are said to be orthogonal if they have a correlation coefficient of zero, indicating that they are uncorrelated.

The term "orthogonal" is also used in various other fields, such as signal processing, computer science, and quantum mechanics, with similar meanings of independence, uncorrelatedness, or perpendicularity.

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1) All the angles are,

∠ 1 = 72°

∠ 2 = 54°

∠ 3 = 54°

∠ 4 = 72°

2) All the angles are,

∠1 = 59°

∠2 = 90°

∠3 = 90°

∠ 4 = 31°

3) All the angles are,

∠ 1 = 22°

∠ 2 = 68°

∠ 3 = 68°

∠ 4 = 90° (right angle)

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

1) From first figure,

⇒ ∠ 3 = 54°   (Two sides are equal hence two angles are also equal)

Hence, We get;

∠3 + ∠4 + 54° = 180°

54° + ∠4 + 54° = 180

∠4 = 180 - 108

∠4 = 72°

Hence, We get;

∠ 1 = ∠ 4

∠ 1 = 72°

And, ∠2 = ∠3 = 54°

2) From second figure,

∠ 4 = 90 - 59°

      = 31°

And, We have;

∠1 = 59°

And, Diagonal bisect each other.

Hence,

∠ 2 = ∠ 3 = 90°

3) From third figure,

∠ 2 = 68°

Hence, 2 ∠ 1 = 180 - 136°

2 ∠ 1 = 44°

∠ 1 = 22°

And, We have;

Since, ∠ 2 = 68°

Hence, ∠ 3 = 68°

And. ∠ 4 = 90° (right angle)

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A left-skewed histogram is a frequency distribution in which the data is concentrated towards the right side of the histogram, with a tail stretching towards the left.

A left-skewed histogram is a kind of frequency distribution where the data is concentrated towards the right side of the histogram, with a tail extending towards the left. It is otherwise called a negatively skewed histogram or a left-tailed histogram. In a left-skewed histogram, the mean is not exactly in the middle, demonstrating that the information is slanted toward the lower end of the conveyance. This can happen when the information has a lower bound or a base worth, which makes the tail of the dispersion be pulled towards the left. Left-skewed histograms can be helpful in examining information that has a characteristic lower cutoff or floor, for example, response times, reaction rates, or pay levels.

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Right triangle side lengths can be achieved in a few different ways. You can utilise various relationships or laws to discover the remaining side depending on what is offered.

Presented with two sides

The simplest way is to use the Trigonometry if you are aware of two additional right triangle sides:

a² + b² = c²

If leg an is the omitted side, change the equation such that an is still on one corner and compute the scale factor of that number:

a = √(c² - b²)

Leg b is equal to (c2 - a2) if foot b is unknown.

The formula for a deficient hypotenuse is c = (a2 + b2).

A right triangle has one symmetry boundary line if it is isosceles, meaning that its two different sides have an identical length. Otherwise, the triangle won't have any symmetries lines.

However, not all right-angled triangles are identical. If all of their angles have the same length as well as the relation of two among their angles is the same, then they are similar.

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