(simple computation) the formula for computing the discriminant of a quadratic equation ax^2 bx c

The theme of each epic poem is sublime, elegant, and has universal significance. It may not be an insignificant theme, which is only limited to the personality or the locality of the poet. It deals with the entire humanity.

Epic poem

An epic poem, or simply an epic, is a lengthy narrative poem typically about the extraordinary deeds of extraordinary characters who, in dealings with gods or other superhuman forces, gave shape to the verse mortal universe their descendants.

'epic' could refer to all poetry in dactylic hexameter , which included not only Homer but also the wisdom poetry of Hesiod, the utterances of the Delphic oracle.

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Resolving the different perspectives on monitoring employee activity is difficult to determine where work ends and personal life begins. (option b)

The issue of monitoring employee activity has become increasingly complex and challenging to resolve due to various factors. In this response, we will delve into four key reasons that contribute to the difficulty of addressing different perspectives on this matter.

These reasons include the absence of federal laws for video surveillance in public areas, the blurred boundaries between work and personal life, the legality of employers wiretapping employees' personal phones, and the impact of technological advances in the workplace.

Another challenge arises from the difficulty in determining where work ends and personal life begins. With the increasing use of technology and remote work arrangements, the line between professional and personal activities can become blurry. Employees often use personal devices for work-related tasks, and vice versa, making it challenging to separate work-related monitoring from personal privacy. This ambiguity makes it hard to establish a consensus on the extent to which employee activity should be monitored.

Hence the correct option is (b).

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Answer:

The answer on khan academy is C. None of the above.

Step-by-step explanation:

Answer: x = 11

Step-by-step explanation:

first, i did simple calculations.

4x(2) = 88

that calculates out to:

8x = 88

then, i divided both sides by 8, in order to get x by itself.

8x/8 = 88/8

x = 11

Answer:

Not all the means are equal.

Step-by-step explanation:

In an ANOVA table, a sum of squares for the independent variable divided by its respective degrees of freedom.

So if the omnibus null hypothesis is rejected it means that there is sufficient evidence to conclude that not all the means are equal.

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If the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.

ANOVA table gives us the total sum of squares ( TSS ), the residual sum of squares ( RSS ) and the estimated sum of squares ( ESS ).

It establishes the relation that:

ESS + RSS = TSS.

If we reject the omnibus null hypothesis, then it means that:

at least one of the population means is different from at least one other population mean.

Therefore, we get that, if the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.

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Answers:

===================================================

Explanation:

x = Erin's true speed

Her true speed x is within 2 mph of 56 mph.

This means the interval for x is \(56-2 \le \text{x} \le 56+2\) which simplifies to \(54 \le \text{x} \le 58\)

She could be going as slow as 54 mph, or as fast as 58 mph, or something in between.

The expression |x-56| measures the distance from x to 56 on the number line. Recall absolute value is used to ensure the distance isn't negative.

We want this distance to be within 2 units, i.e. we want the distance to be 2 or smaller.

\(\text{distance on number line} \le 2\\\\|\text{x}-56| \le 2\)

----------------

Here's what the steps look like to solve that absolute value inequality

\(|\text{x}-56| \le 2\\\\-2 \le \text{x}-56 \le 2\\\\-2+56 \le \text{x}-56+56 \le 2+56\\\\54 \le \text{x} \le 58\\\\\)

For the second step, we use the rule that |x| < k is the same as -k < x < k where k is some positive number.

In the third step, I added 56 to all three sides to isolate x fully.

Answer:

Step-by-step explanation:

7680 i think

Answer:

it's D, 27

Anything in the middle would be both so just add only the yellow and red numbers, not orange

Step-by-step explanation:

the correct answer is option a 6a-7

The expression for the flu cases in winter is W = S + 0.58S.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Let the total number of patients in winter be W and S be the number of patients treated for flu symptoms.

At Dr. Carrey's clinic, 58% more patients are treated for flu symptoms in the winter than in the summer.

So, the expression for the number of flu patients in winter is:

W = S + 58% of S

W = S + 0.58S

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Answer: 1 3/8

Step-by-step explanation:

Answer:

it is 1 3/8 or 0.375

Step-by-step explanation:

answered

There are two ways to find the remainder when a polynomial in x is divided by a binomial of the form x-r, the use of synthetic division or calculate P(r).

Synthetic division

The Synthetic division is a shortcut way of polynomial division, especially if we need to divide it by a linear factor. It is generally used to find out the zeroes or roots of polynomials and not for the division of factors.

Polynomial

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.

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The value of the expression +, can be determined by performing matrix addition on the given matrices and then evaluating the resulting expression. Let's proceed with the calculations: Given matrices:

A = [[1, 2, 0], [3, 2 + c, -1], [2, 2 + c, 2 + c]]

B = [[0, 2 + c, -3], [3, c, -1], [0, 3, -1]]

Performing matrix addition on A and B, we add the corresponding elements:

A + B = [[1 + 0, 2 + (2 + c), 0 + (-3)],

[3 + 3, (2 + c) + c, -1 + (-1)],

[2 + 0, (2 + c) + 3, (2 + c) + (-1)]]

Simplifying further, we get:A + B = [[1, 4 + c, -3],

[6, 2 + 2c, -2],

[2, 5 + c, 1 + c]

Therefore, the value of + is equal to the matrix [[1, 4 + c, -3], [6, 2 + 2c, -2], [2, 5 + c, 1 + c]].

We can store this value in the string FG_sum using valid Python code formatting as follows:

FG_sum = "[[1, 4 + c, -3], [6, 2 + 2 * c, -2], [2, 5 + c, 1 + c]]"

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He stands 6 feet tall, and his shadow extends 9 feet. if the building's shadow extends for 322.5 feet.

Now 6/9 = X/322.5

9X = 1935

X = 215ft

The Height of the building = 215ft

Consider an object AB of height h such that its shadow of length s is formed and angle of elevation is θ.

The object AB depicts a right triangle in which ∠ABO = 90o.

Now we know that in trigonometry, the tangent ratio for an angle is equal to the opposite side to that angle divided by its adjacent side.

So, for the angle of elevation θ, we have

=> tan θ = AB/OB

Putting AB = h and OB = s, we get

=> tan θ = h/s

=> s/h = 1/tan θ

=> s = h/tan θ

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The Fishbone diagram identifies possible causes for the problem of burned microwave popcorn, including equipment condition, popcorn quality, timing, temperature control, popcorn bag or container, kernel distribution, popcorn quantity, microwave maintenance, popcorn storage, and power fluctuations.

Problem: My microwave cooked popcorn burned.

1. Equipment: Check the microwave's condition, age, and power settings.

2. Popcorn: Examine the popcorn brand, quality, and packaging instructions.

3. Timing: Analyze the cooking time set for the popcorn.

4. Temperature: Assess the microwave's heating consistency and temperature control.

5. Popcorn bag/material: Investigate the type of bag or container used for the popcorn.

6. Kernel distribution: Consider the distribution of kernels within the bag.

7. Popcorn quantity: Evaluate the amount of popcorn used for cooking.

8. Microwave maintenance: Check if the microwave is clean and free from residue.

9. Popcorn storage: Consider the storage conditions and age of the popcorn.

10. Power fluctuations: Investigate if there were any power surges or fluctuations during cooking.

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the marginal propensity to expend is 0.8, indicating that for each additional dollar of income, 0.8 dollars will be spent.

The slope of the aggregate expenditures (AE) curve represents the change in AE per unit change in income. The marginal propensity to expend (MPE) is the fraction of each additional dollar of income that is spent, so it is related to the slope of the AE curve.

Given that the slope of the AE curve is 0.8, we can interpret it as follows:

MPE = slope of AE curve = 0.8

Therefore, the marginal propensity to expend is 0.8, indicating that for each additional dollar of income, 0.8 dollars will be spent.

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If the range on an X-bar-R chart suddenly and significantly increases, it indicates an increase in process variation. In this scenario, the mean (X-bar) may or may not be affected.

The mean represents the central tendency or average value of the process, while the range measures the dispersion or variation within the process.

If the mean remains stable and unaffected despite the increase in range, it suggests that the process average is still within control. However, if the range increase is accompanied by a significant shift in the mean, it indicates a potential shift in the process average.

To make a definitive determination, additional analysis and investigation are necessary to identify the underlying cause of the increased range and its impact on the process mean.

This could involve examining individual data points, performing hypothesis testing, or conducting further statistical analysis to assess the process stability and potential issues.

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Answer:

16

Step-by-step explanation:

18-7=11 2+3=5. 11+5=16

according to BODMAS rule

18 - 7 × 5

18 - 35

-17

The values are

First plot two dots on 8

Then rest two on -8

Answer:

See below ~

Step-by-step explanation:

Solving :

Answer:

50.24

Step-by-step explanation:

radius R = 2

SA = 4πR^2 = 4π*2^2 = 16π = 16*3.14 = 50.24

The Euler's method with h = 0.5, the approximation of y(2) for the given initial value problem is -11.5.

Using Euler's method with a step size of h = 0.5, we can approximate the value of y(2) for the given initial value problem y' = 4x - 8y + 10, y(1) = 5.

Euler's method is an iterative numerical method used to approximate solutions to ordinary differential equations. It involves dividing the interval of interest into smaller steps and approximating the solution at each step based on the slope of the differential equation at that point.

To apply Euler's method, we start with the initial condition (x₀, y₀) = (1, 5) and compute the next approximation using the formula:

yₙ₊₁ = yₙ + h * f(xₙ, yₙ),

where h is the step size and f(x, y) is the differential equation.

In this case,

f(x, y) = 4x - 8y + 10.

Using h = 0.5,

we can calculate the approximation of y(2) as follows:

x₁ = x₀ + h = 1 + 0.5 = 1.5,

y₁ = y₀ + h * f(x₀, y₀) = 5 + 0.5 * (4 * 1 - 8 * 5 + 10) = -11.5.

Therefore, using Euler's method with h = 0.5, the approximation of y(2) for the given initial value problem is -11.5.

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The approximation of y(2) from the differential equation using Euler's method with a step size of 0.5 is 29.

To approximate the value of y(2) using Euler's method, we'll follow these steps:

1. Define the given differential equation: y' = 4x - 8y + 10.

2. Determine the step size, h, which is given as 0.5.

3. Identify the initial condition: y(1) = 5.

4. Set up the iteration using Euler's method:

  - Start with the initial condition: x(0) = 1, y(0) = 5.

  - Calculate the slope at (x(0), y(0)): m = 4x(0) - 8y(0) + 10.

  - Update the next values:

    x(1) = x(0) + h

    y(1) = y(0) + h * m

  Repeat the above step until you reach the desired value, x = 2.

5. Calculate the approximation of y(2) using Euler's method.

Let's go through the steps:

Step 1: The given differential equation is y' = 4x - 8y + 10.

Step 2: The step size is h = 0.5.

Step 3: The initial condition is y(1) = 5.

Step 4: Using Euler's method iteration:

For x = 1, y = 5:

m = 4(1) - 8(5) + 10 = -26

x(1) = 1 + 0.5 = 1.5

y(1) = 5 + 0.5 * (-26) = -7

For x = 1.5, y = -7:

m = 4(1.5) - 8(-7) + 10 = 80

x(2) = 1.5 + 0.5 = 2

y(2) = -7 + 0.5 * 80 = 29

Step 5: The approximation of y(2) using Euler's method is 29.

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Answer:

592 sq. ft.

Step-by-step explanation

area of front and back=2[12×6]+2[1/2×12×8]=144+96=240 ft²

side area=2[(6+10)×11]=2×176=352 ft²

Total surface area=240+352=592 square feet.

We have a horizontal translation of 2 units to the right, so the correct option is B.

"The graph of y = f(x) will shift right 2 units."

For any function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N)

if N > 0, the translation is to the left.

if N < 0, the translation is to the right.

In this case we have the function written as:

y = f(x - 2)

So we have N = -2, which means that we have a translation of 2 units to the right.

Then the correct option is B.

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To get the balance to the acceptable debt ratio percentage, you would need to pay approximately $2089.90 at the end of the month.

To calculate the amount you must pay at the end of the month to get the balance to the acceptable debt ratio percentage, we need to determine the acceptable debt ratio percentage and the current balance on the credit card.

Let's assume the acceptable debt ratio percentage is 30%. This means that the balance on the credit card should not exceed 30% of the credit limit.

Credit Limit: $5000

Acceptable Debt Ratio: 30%

The maximum allowable balance can be calculated as follows:

Maximum Allowable Balance = Credit Limit * Acceptable Debt Ratio

Maximum Allowable Balance = $5000 * 0.30

Maximum Allowable Balance = $1500

To find the amount you must pay at the end of the month, subtract the maximum allowable balance from the current balance:

Amount to Pay = Current Balance - Maximum Allowable Balance

Amount to Pay = $3589.90 - $1500

Amount to Pay = $2089.90

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Answer:

1-2

Step-by-step explanation:

Answer:

\(the \: two\: numbes \: are : \\ 7.777 \: and \: - 2.099\)

Step-by-step explanation:

\(let \: the \: two \: numbers \: be : x \: and \: y \\ x + y = 5.678.....eq(1) \\ x - y = 9.876 .....eq(2)\\ x = 9.876 + y....from \: eq(2) \\ y = 5.678 - x....frm \: eq(1) \\ eq \:...y \: in \: terms \: o f\: x : \\ x = 9.876 + 5.678 - x \\ 2x = 15.554 \\ x = 7.777 \\ y = 5.678 - x = y = 5.678 - 7.777 \\ y= - 2.099.\)

Answer:

b+2.673

Step-by-step explanation:

substitute the value of the variable into the equation and simpilfy

Answer:

8.807

Step-by-step explanation:

1. 6.134 + (5.68 - 3.007)

   6.134 + 2.673

   = 8.807 or \((\frac{8807}{1000}, 8\frac{807}{1000} )\)

Answer:

I think the y-intercept is 0. I hope I'm right.

The expression is a 3rd-degree polynomial with 4 terms.

Given

The polynomial is;

\(\rm x^2y + 7xy + xyz + x\)

A polynomial is an expression consisting of coefficients and variables which are also known as indeterminates.

The highest degree exponent term in a polynomial is known as its degree.

Then,

The total power of the exponent is 3.

The highest degree exponent is 3 then, the expression is a 3rd-degree polynomial with 4 terms.

Hence, the expression is a 3rd-degree polynomial with 4 terms.

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Answer:

d

Step-by-step explanation: