Find an equivalent ratio in simplest terms: 56:88

Step-by-step explanation:

The answer is mentioned in above pdf. so for bad handwriting

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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Answer:

A. 39°

Step-by-step explanation:

Adjacent angles on a straight line is equal to 180°

Vertical opposite angles are equal to each other

90° + 51° + x = 180°

141° + x° = 180°

x° = 180° - 141°

x° = 39°

On converting the length , we get the that 150 meter is equivalent to 492.12 feet .

In order to convert the length of 150 meters to feet,

We use the conversion factor of 3.2808 feet per meter because we know that 1 meter is = 3.2808 feet ;

So , to convert "meter" to "feet" we simply multiply the number of meters by this conversion factor to get the equivalent distance in feet.

By using this method, we get:

⇒ 150 meters × 3.2808 feet/meter = 492.12 feet ;

Therefore, 150 meters is equivalent to 492.12 feet.

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The median of the data is approximately 1.43 meters.

Brief informative coefficients known as descriptive statistics are used to sum up a particular data set, which may be a sample of a population or a representation of the complete population. Measures of central tendency and measurements of variability make up descriptive statistics (spread). The mean, median, and mode are measurements of central tendency, while the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness are measures of variability.

KEY LESSONS

The properties of a data collection are summed up or described using descriptive statistics.

Measures of central tendency, measures of variability (or spread), and measures of frequency distribution make up the three fundamental kinds of measures in descriptive statistics.

The center of the data set is described by measures of central tendency (mean, median, mode).

To find the median of a set of data, we need to first arrange the data in order from least to greatest.

2, 4, 1, 7/3, 4/5, 5/2

Next, we find the middle value(s) of the ordered data.

Since we have six values, the middle is between the 3rd and 4th values.

2, 4, 1, [7/3, 4/5], 5/2

To find the median, we take the average of the two middle values:

(7/3 + 4/5) / 2 = (35/15 + 8/15) / 2 = 43/30 ≈ 1.43

Therefore, the median of the data is approximately 1.43 meters.

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The Roman numeral number I means the number "1".

In roman numerals, the counting is represented by using the basic English alphabets in the Upper Case.

The roman numeral I means the number "1". For representing 10 we use "X".

When we have to write 1, 2, 3 we use I, II, III respectively and when we use want to show 5 we use "V" in roman numerals. More English letters like L, C etc. are also used to depicts certain other big numbers in the roman numbers. It is to be noted that one alphabet cannot be used more than three times in an number.

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The length opposite the angle is the vertical distance from the x-axis on the graph. Because sin (π/3) = opposite/hypotenuse = opposite/1;

Unit circle is a circle centered at the origin, (0,0) with radius(r) i.,e r= 1.

Here, The angle π/3 forms an arc of length S and the x-axis and y-axis divide the coordinate plane and the unit circle as it is centered at (0.0).

Also, the terminal side intersect the circle at (x, y). Thus;

sin (π/3) = opposite/hypotenuse = opposite/1

Thus, we get;

sin (π/3) = opposite

Also, the length opposite the angle is the vertical distance from the x-axis on the graph.

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Answer: A on edge

Step-by-step explanation:

The safe debt load is $352 - $704

The general rule of thumb, a debt/income ratio of 10% or less is outstanding. If it's between 10 - 20%, your credit is good, and you can probably borrow more. But once you hit 20% or above, it's time to take a serious look at your debt load.

This means that safe debit load is the maximum debt a person or an organization can owe.

It ranges from 10% to 20%

10/100 × 3525 = $352.5

20/100 × 352.5 = $704

This means that any debt that will take more than $704 from Riley's earnings is no more a safe debt load.

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The attached answer is not mine, but is by a fellow Brainly user - isha00333

Keep in mind this is only for the first question.

These answers are by Brainly user aman1234e9 :

(ii) To find the total volume when x is 10 inches, we substitute x = 10 into the polynomial function:

V(10) = 8(10)^3 + 48(10)^2 + 96(10) + 64

V(10) = 8,864 cubic inches

Therefore, the total volume when x is 10 inches is 8,864 cubic inches.

(iii) To use the remainder theorem to find the total volume when x is 10 inches, we divide the polynomial function V(x) by (x-10) and evaluate the remainder.

We can use long division or synthetic division to perform the division, but using synthetic division, we have:

10 | 8 48 96 64

80 1280 2240

8 128 1376 2304

The remainder is 2304, so the total volume when x is 10 inches is 2304 cubic inches.

The measure of angle F is 61.4° to the nearest degree  and it can be found through Law of Sines.

The law of sines is a mathematical relationship between the lengths of the sides and the angles of a triangle. It states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant, regardless of the size or shape of the triangle. Using the law of sines, it is possible to calculate the length of any side of a triangle given the lengths of the other two sides and the measure of their included angle, or to calculate the measure of any angle given the lengths of the three sides. The law of sines can also be used to solve oblique triangles, which are triangles that are not right triangles.

The measure of angle F can be found using the Law of Sines, which states that:

a/sinA = b/sinB = c/sinC

Where a, b, and c are the sides of the triangle and A, B, and C are the angles opposite those sides.

In this case, a = h = 99 cm, b = f = 55 cm, and c = unknown. We are given the measure of ∠H = 169° and we are trying to find ∠F.

Rearrange the equation to solve for ∠F:

sinF = (a/c) * sinH

sinF = (99/c) * sin169

Now, let's solve for c:

c = (99/sin169) * sinF

Solve for sinF:

sinF = (99/c) * sin169

Solve for sinF. Plugging in the values we have (99/c) and sin169, we get sinF = 0.835.

To find the measure of angle F:

∠F = arcsin(0.835)

∠F ≈ 61.4°

Therefore, the measure of angle F is 61.4° to the nearest degree.

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Answer:

Addition:

7+8=15

8+7=15
Subtration:

15-8=7

15-7=8

Step-by-step explanation:

You just have to include all numbers and make an equation that involves all three digits

After simplifying and finding x, we obtain: (x - 4)([tex]x^2[/tex] - 4x + 32) = 0

[tex]x^3[/tex] - [tex]8x^2[/tex] - 64x + 128 = 0

There are no actual roots for the quadratic factor, hence we have the:

x = 4

Line BC, therefore, has a length of 4.

Describe Inequality.

In mathematics, an inequality is a statement that two values are not equal. Instead, one value is either greater than or less than the other value. Inequalities are represented by symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).

For example, the inequality 5 < 8 means that 5 is less than 8, while the inequality x + 3 > 7 means that the sum of x and 3 is greater than 7.

Inequalities can be graphed on a number line, which is a horizontal line that represents the set of real numbers. To graph an inequality on a number line, you can draw a closed or open circle at the value of the variable that satisfies the inequality, and shade the region to the left or right of the circle, depending on the direction of the inequality.

For example, to graph the inequality x < 3, you would draw an open circle at 3 on the number line, and shade the region to the left of the circle, because x is less than 3. Similarly, to graph the inequality y ≥ -2, you would draw a closed circle at -2 on the number line, and shade the region to the right of the circle, because y is greater than or equal to -2.

Graphing inequalities on a number line is a useful tool for solving problems and visualizing the solutions to inequalities in one variable.

Let BC = x.

Using the Triangle Inequality on triangle ABD, we have:

AB + BD > AD

6 + x > 4 + 2

x > -4

Using the Triangle Inequality on triangle BDC, we have:

BC + CD > BD

x + 2 > 4

x > 2

Therefore, we have:

2 < x < 6

Now, we can use the Law of Cosines on triangle BDC:

BD² = BC² + CD² - 2BC·CD·cos(BDC)

Substituting known values and solving for x, we have:

4 = x² + 4 - 8x·cos(BDC)

x² - 8x·cos(BDC) + 0 = 0

x(x - 8·cos(BDC)) = 0

Since x cannot be zero, we have:

x - 8·cos(BDC) = 0

cos(BDC) = x/8

Using the Law of Cosines on triangle ACE:

AC² = AE² + CE² - 2AE·CE·cos(ACE)

Substituting known values and simplifying, we have:

(6 + x)² = 4² + 2² - 2·4·2·cos(ACE)

36 + 12x + x² = 20 - 16cos(ACE)

cos(ACE) = (12x + x² - 16)/(-16)

Since cos(BDC) = cos(ACE), we have:

x/8 = (12x + x² - 16)/(-16)

Simplifying and solving for x, we have:

8x² + 64x - x³ - 128 = 0

x³ - 8x² - 64x + 128 = 0

(x - 4)(x² - 4x + 32) = 0

The quadratic factor has no real roots, so we have:

x = 4

Therefore, the length of line BC is 4.

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THE minimum score required to be in the top 4% of exam scores is 87.08 points, which is option A. To determine the minimum score required to be in the top 4% of exam scores, we can use the standard normal distribution and the Z-score formula.

First, we need to find the Z-score associated with the top 4% of exam scores. The Z-score represents the number of standard deviations above or below the mean a particular value falls. We can use a standard normal distribution table or calculator to find that the Z-score corresponding to the top 4% is approximately 1.75.

Next, we can use the Z-score formula to find the minimum score required to achieve a Z-score of 1.75:

Z = (X - μ) / σ

where X is the minimum score required, μ is the mean of exam scores, and σ is the standard deviation of exam scores.

Rearranging the formula to solve for X, we get:

X = Z {multiply} σ + μ

Plugging in the values we have, we get:

X = 1.75 {multiply}6.1 + 76.4

X = 87.08

Therefore, the minimum score required to be in the top 4% of exam scores is 87.08 points, which is option A.

Note that this assumes that the distribution of exam scores is approximately normal, which is often the case for large samples. If the sample size is small or the distribution is significantly non-normal, this method may not be as accurate.

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Answer:

87.92 m

Step-by-step explanation:

Circumference = pi*diameter

3.14*28m = 87.92 m

The length of DE is 12 unit.

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

In Triangle DFC using Trigonometry

sin 45 = B/ H

1/ √2 = DF / 12√2

DF = 12 unit

So, DE= DF + FE

DE = 12 + 9

DE = 12 unit.

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Answer:

Blue dot: (0,10)

red dot: (1,-9) or (2,-8)

Step-by-step explanation:

The equation is y=x-10

The average rate of change of candle height from time 45 minutes to time 109 minutes is -1 inch per 64 minutes.

The average rate of change is a measure of how quickly one quantity changes relative to another. It is calculated by dividing the difference between two values by the difference in time between those two values. It is a useful metric when trying to understand the speed at which a given quantity is changing over time.

For example, To calculate the average rate of change in the number of students enrolled in a particular school over the course of 5 years. In year 1, the school had 200 students enrolled and in year 5 it had 350 students enrolled. To calculate the average rate of change, one would divide the difference between the two values (150 students) by the difference in time between them (4 years):

Average rate of change = (350-200) / (5-1) = 150 / 4 = 37.5

This means that, on average, the school's enrollment increased by 37.5 students each year.

The table showing the height of a pyramid candle as it burns can be calculated by dividing the change in height (2 inches) by the change in time (64 minutes).

Change in height = 2 inches

Change in time = 64 minutes

Average rate of change = (2 inches) / (64 minutes) = -1 inch per 64 minutes

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The value of x that makes lines e and f parallel and intersected by transversal b is x = 25. Answer choice (c) is correct.

Lines that are parallel to one another on a plane do not intersect or meet at any point. They are always equidistant from one another and parallel. Non-intersecting lines are parallel lines. Parallel lines can also be said to meet at infinity.

When parallel lines e and f are cut by a transversal, the corresponding angles are congruent. Using this fact, we can set up an equation involving the angles formed by the intersection of lines e and f with transversal b:

2x + 10 = 3x - 15

Solving for x, we get:

x = 25

Therefore, the value of x that makes lines e and f parallel and intersected by transversal b is x = 25. Answer choice (c) is correct.

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Earned income refers to the money an individual earns from working for an employer, running a business or providing a service. It is considered compensation for the labor or services provided by the individual. Examples of earned income include salaries, wages, bonuses, commissions, and tips.

Unearned income, on the other hand, is income that is not directly earned through labor or services provided. Instead, it comes from investments, government benefits, or other sources of passive income. Examples of unearned income include interest income, dividends, rental income, capital gains, and social security benefits.

One of the main differences between earned and unearned income is how they are taxed. Earned income is generally subject to payroll taxes, which includes Social Security and Medicare taxes, while unearned income is generally taxed at a different rate than earned income. Another difference is that earned income is more closely tied to an individual's skills, effort, and work output, while unearned income is often influenced by factors such as market conditions, investment decisions, and government policies.

The perimeter of the figure is 28 units

The perimeter of a figure is the total length of its boundary or outer edge. It is the sum of the lengths of all the sides of the figure. The perimeter is usually measured in units such as centimeters, meters, inches, or feet, depending on the measurement system being used.

The perimeter of this figure is the sum total length of the boundaries.

This can be calculated as;

P = 2 + 4 + 5 + 3 + 7 + 7

P = 28 units

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The value of the equation f(x)=-3x+5 at f(-2) is 11.

An equal sign ("=") links two expressions together to form an equation. The two expressions on either side of the equals sign are referred to as the "left-hand side" and "right-hand side" of the equation. The right side of an equation is typically assumed to be zero. As we can balance this by deducting the expression on the right from the expressions on both sides, this won't reduce the generality.

The given equation is f(x)=-3x+5.

Substitute the value of x = -2 in the equation to find f(-2).

f(x)=-3x+5

f(-2) = -3(-2) + 5

f(-2) = 6 + 5

f(-2) = 11

Hence, the value of the equation f(x)=-3x+5 at f(-2) is 11.

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There are 50 sections on sidewalk of length 40 meter with each section of length 0.8 meter..

Firstly converting the units. We will do it in such a way that we get the length of each section of sidewalk in meters. So, as the 1 decimeter is 0.1 meter. Thus, 8 decimeter will be 0.8 meter.

Now, the formula to be used for calculation of number of sections = total length of sidewalk ÷ length of each section

Keep the values

Number of sections = 40/0.8

Performing division on Right Hand Side of the equation

Number of sections = 50

Thus, there are 50 sections.

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L'Hopital's rule calculator is the tool used to find the bounds of indeterminate functions. Returns the result of undefined functions in the form of 0/0 or ∞/∞ with steps.

This rule is used to calculate the boundary of features with undefined shapes or undefined functions. The calculator works by taking the derivatives of both numerator and denominator and then applying L'Hospital's rule. This calculator then uses those derivatives to calculate the limit of the function. The result of the limit is then shown in a step-by-step fashion.

This calculator is a useful tool for calculus students as it simplifies the process of finding the limit of an indeterminate function. It saves time and effort, as the process is done quickly and accurately rather than having to manually calculate the limit.

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A printer company has two locations with a total of 23 employees. Then, there are 08 employees are at smaller​ location and there are 15 employees in larger location.

System of Equation:

In algebra, a system of equations consists of two or more equations and finds a general solution to the equations. "A system of linear equations is a set of equations satisfied by the same set of variables."

The systems of equations discussed above are sets of equations that find general solutions for the variables involved. The following equation is an example of a system of equations.

2x - y = 12

x - 2y = 48

Let,

L = Number of employee at larger location.

S =  Number of Employee at smaller location.

Since,

If Four times the number of employees at the larger location is four greater than seven times the number of employees at the smaller​ location.

Therefore,

    4L = 7S +4                  ------------------------- (1)

And, L+S = 23

      ⇒ S = 23- L

Putting S = 23-L in equation(1),

   4L = 7(23-L) + 4

⇒ 4L = 161- 7L + 4

⇒ 4L +7L = 161 + 4

⇒ 11L = 165

⇒ L = 15

Therefore, in the larger location there are 15 employees.

Now,

Putting L = 15 in:

S = 23 -L

S = 23-15

S = 8

Therefore, there are 08 employees in the smaller location.

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With the help of expression 6*33 we found that Mike took a total of 198 baseballs.

What are expressions exactly?

In mathematics, expressions are mathematical claims that consist of at least two sentences that contain numbers, variables, or both, and are linked by an operator in between. Mathematical operations include addition, subtraction, multiplication, and division. For instance, x + y is an equation in which the words x and y are separated by an addition operator. In mathematics, there are two types of expressions: numerical expressions, which include only numbers, and algebraic expressions, which contain both numbers and variables.

e.g. A number is 6 more than half of another number, x. This proposition can be stated mathematically as x/2 + 6. Mathematical expressions are used to answer complex problems.

Now,

Given that Total baseballs=363

Total trash bin=11

baseballs in one trash bin =363/11

=33

Mike took 6 trash bins

then baseballs in 6 trash bins are =6*33

=198

hence,

            Mike took a total of 198 baseballs.

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One gallon of water weighs around 3.78 kilograms (kg) or 8.34 pounds (lb) (kg). 

Based on the weight of water at ordinary atmospheric pressure and room temperature (about 68 degrees Fahrenheit or 20 degrees Celsius) (14.7 pounds per square inch or 1 atmosphere).

It's crucial to remember that water weight might change somewhat based on ambient temperature and pressure.

Water weighs slightly less at higher temperatures than it does at lower ones and vice versa. Similar to this, the weight of water increases somewhat at higher pressures while decreasing slightly at lower pressures.

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A discrete distribution is used to calculate the probability that a random variable will be exactly equal to some value which is 0 ≤ P(X = x) ≤ 1 and ∑P(X = x) =1.

We can say that a discrete distribution is a probability distribution that depicts the occurrence of discrete or individually countable outcomes.

We know that the discrete probability distribution is counting of the occurrences that have countable or finite outcomes. We also know that discrete distributions contrast with continuous distributions, where outcomes can fall anywhere on a continuum, common examples of discrete distribution include the binomial, Poisson, and Bernoulli distributions.

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The value of weight 74kg after converting to lbs is 163.14288 lbs

Converting between units of measurement is a common practice, especially when dealing with international systems or different industries. To convert 74kg to lbs, you need to use the conversion factor of 2.20462.

Knowing how to convert between units can help you in your day-to-day life or in your work. Here, we're using the formula 1 kilogram is equivalent to 2.20462 pounds.

To convert 74kg to lbs, you can simply multiply 74 by 2.20462.

74kg x 2.20462 = 163.14288 lbs

Therefore, weight of 74kg is equivalent to 163.14288 lbs.

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The value of volume of 8oz in ml is 236.588 ml

It is important to note that fluid ounces and milliliters are both units of volume, Converting 8oz to milliliters (ml) requires the use of a conversion factor, as these units measure different quantities.

One fluid ounce (oz) is equivalent to approximately 29.5735 milliliters. To convert 8oz to ml, we multiply 8 by this conversion factor:

8 oz * 29.5735 ml/oz = 236.588 ml

Therefore, 8oz is equivalent to approximately 236.588 milliliters.

In different systems of measurement, with fluid ounces being more commonly used in the United States and milliliters being the standard unit of volume in the metric system used in many other countries.

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Answer:  

Step-by-step explanation: To fidn the median I think you add all multiply by how many numbers you have and then divide I think PLS HELP MY QUESTION.