What i the dicontinuity of f(x) = the quantity of 4x quared minu 16, all over 2 x minu 4

To calculate cumulative cash surplus/ deficit we need to consider cash flows during quarter, including sales, purchases, accounts receivable, accounts payable, cash expenses, taxes,  initial cash,loan balances.

Calculate the total cash inflows from sales for Q1: $46,000 (Q1 sales) * 71% (purchases as a percentage of next quarter's sales) = $32,660.

Calculate the total cash outflows for Q1: $1,500 (monthly cash expenses) * 3 months + $400 (monthly taxes) * 3 months = $5,700 + $1,200 = $6,900.

Calculate the net cash flow from accounts receivable: $32,660 (total cash inflows from sales) - $12,200 (accounts receivable balance at the beginning of Q1) = $20,460.

Calculate the net cash flow from accounts payable: $48,000 (Q2 sales projection) * 45 days / 30 days = $72,000 (purchases for Q2) - $14,800 (accounts payable balance at the beginning of Q1) = $57,200.

Calculate the net cash flow from short-term borrowing: Since the short-term loan balance is zero at the beginning of Q1 and there is no mention of additional borrowing, the net cash flow from short-term borrowing is zero.

Calculate the net cash flow for Q1: Net cash flow = Cash inflows - Cash outflows = $20,460 (net cash flow from accounts receivable) - $6,900 (total cash outflows) + $57,200 (net cash flow from accounts payable) = $70,760.

Calculate the cumulative cash surplus/deficit at the end of Q1: Cumulative cash surplus/deficit = Initial cash balance + Net cash flow - Minimum cash balance = $280 (initial cash balance) + $70,760 (net cash flow) - $250 (minimum cash balance) = $71,790.

Therefore, the cumulative cash surplus (deficit) at the end of Q1, prior to any short-term borrowing, is $71,790.

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Answer:

120,000

Step-by-step explanation:

Let's say Rio gets 5x, Kim gets 7x, and Leo gets 3x. In the ratio 5:7:3:1, x = 1

5x + 7x + 3x = total = 15x

3x = 24000

divide both sides by 3 to get x

x = 8000

15x = 8000*15 = 120000

The original price was £52 if the t-shirt increased in price by 1/4. After the increase, it was priced at £65.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The question is incomplete.

Please refer to the picture for the complete question.

We have:

A t-shirt increased in price by 1/4. After the increase, it was priced at £65.

Let's suppose the original price was x

(1 + 1/4)x = 65

(1 + 0.25)x = 65

1.25x = 65

x = £52

Thus, the original price was £52 if the t-shirt increased in price by 1/4. After the increase, it was priced at £65.

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Answer:

To convert from a percent to a decimal, divide by 100 (and remove the "%" sign). To convert from a percentage to a decimal, divide by 100 (and remove the "%" sign).

Step-by-step explanation:

To write a percent as a decimal,  divide by 100 and remove the %

Therefore, the components of vector E⃗ are Ex = 1 and Ey = -11. Thus, E⃗ = (1, -11).

To solve this equation, let's break it down component-wise. Given:

E⃗ = 2A⃗ + 3B⃗

We can write the equation in terms of its components:

Ex = 2Ax + 3Bx

Ey = 2Ay + 3By

We are also given the components of vectors A⃗ and B⃗:

Ax = 5

Ay = 2

Bx = -3

By = -5

Substituting these values into the equation, we have:

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

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

Simplifying:

Ex = 10 - 9

Ey = 4 - 15

Ex = 1

Ey = -11

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Answer:

2/3

Step-by-step explanation:

There are 6 marbles in the jar

4 are not purple

P(not purple) = marbles that are not purple/ total marbles

                      = 4/6 = 2/3

Answer:

2/3

Step-by-step explanation:

since there are 6 total marbles and 4 of them are colors other than purple, there is a 4/6 chance of drawing a marble that is not purple which can be simplified to 2/3.

First we add 0.3 to 3.7, that way we will have an integer and it would be more easy to make the operations. Then we have 4.

Then we can substract the 4 to the 9.4, getting 5.4.

Finally we add once again 0.3 (because in the difference we have an extra .3) to the 5.4, getting 5.7.

Then Tamela swims 5.7 more than Blake every day.

Answer:

0.20

Step-by-step explanation:

I hope it's help, thanks

Answer:

\( x = - \frac{10}{9} \)

The integer n = 53 will make the inequality 4(n - 5) < 3(n + 11) false

In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

In this expression, we can solve and find what makes it's true and take the odd one out.

4(n - 5) < 3(n + 11)

4n - 20 < 3n + 33

n < 53

From the options given, the value of n that will make the inequality true is less than 53 and that makes the integer 53 to be false.

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Answer:

200 FEET

2 units/5 feet = x units/200 feet

x = 2/5 (200) = 400/5 = 80 units

Cross Multiplication

5x = 2(200)

x = 400/5 = 80 units

Step-by-step explanation:

The correct answer is option D. the equivalent system for the given system of equations is 2x + 3y = 76x + y = 4.

An equivalent system of equations is a set of equations that has the same solutions as the original system. In other words, if you solve both systems, you will get the same values for the variables. There are several ways to create an equivalent system from a given system of equations. For example, you can add or subtract the same value from both sides of each equation, or you can multiply or divide both sides of each equation by the same nonzero value.

You can also use a combination of these operations. In this case, the given system of equations can be transformed into the equivalent system 2x + 3y = 7 and 6x + y = 4 by adding or subtracting the same value from both sides of each equation. Therefore, the correct answer is D).

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A. The system of inequality is plotted and the graph is attached

B. (1, 3) is not a solution because it does not satisfy the two equations

C. the three points that are solutions are

Substituting the given point into the two system of equation if it satisfies the equation then it is a solution

For (1, 3)

3x + y ≥  - 1

3 * 1 + 3 ≥ - 1

6 ≥ - 1 correct

2y - 4 > 3x

2 * 3 - 4 > 3 * 1

2 > 3 - wrong hence not a solution

For  (-1, 3)

3x + y ≥  - 1

3 * -1 + 3 ≥ - 1

0 > -1 correct

2y - 4 > 3x

2 * 3 - 4 > 3 * -1

2 > -3 correct this is a solution

(-1, 4) and (1, 4) other solutions are deduced form the attached graph where two the two shaded points intersect

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To find the z-score for a sales associate who earns $37,500, we can use the formula:

z = (x - μ) / σ

Where:

x is the value we want to convert to a z-score (in this case, $37,500),

μ is the mean of the distribution (in this case, $32,500), and

σ is the standard deviation of the distribution (in this case, $2,500).

Substituting the given values into the formula, we have:

z = (37,500 - 32,500) / 2,500

z = 5,000 / 2,500

z = 2

Therefore, the z-score for a sales associate who earns $37,500 is 2.

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The z-score for a sales associate earning $37,500 in a system where the mean salary is $32,500 and the standard deviation is $2,500 has a z-score of 2. This score indicates that the associate's salary is two standard deviations above the mean.

The z-score represents how many standard deviations a value is from the mean. In this case, the value is the salary of a sales associate, the mean is the average salary, and the standard deviation is the average variation in salaries.

We calculate the z-score by subtracting the mean from the value and dividing by the standard deviation, like so:

Z = (Value - Mean) / Standard Deviation

So, the z-score for an associate earning $37,500 would be:

Z = ($37,500 - $32,500) / $2,500

This gives us a z-score of +2, indicating that a salary of $37,500 is two standard deviations above mean.

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Answer:

2x + 4 = 10

Step-by-step explanation:

4 added, 2 times of a number means x times 2, the equation has to equal 10

Answer:

What is the number of boys? I think you forgot to add the number in.

Step-by-step explanation:

Don't worry, I'll still help you! I'll be here waiting! :)

Answer:

The larger angle is 143

Step-by-step explanation:

x + y = 180 (This is the meaning of supplementary. Two angles make up 180 degrees)

4x - 5 = y

x + (4x - 5) = 180            Remove the brackets.

x + 4x - 5 = 180

5x - 5 =  180                  Add 5 to both sides

5x - 5 +5 = 180 + 5       Combine

5x = 185                        Divide by 5

5x/5=185/5

x = 37

y = 4*37 - 5

y = 148 - 5

y = 143

The probability that the actual weight differs from the presented weight by more than 0.5 g is 3/8 or 0.375.

A random variable is a mathematical concept used in probability theory and statistics to describe an uncertain quantity or outcome. It is a variable that takes on different values with certain probabilities in a given random process or experiment.

Given by the question.

a. To find the value of k, we use the fact that the integral of the probability density function (pdf) over the entire range of possible values must equal 1. Thus,

1 = ∫2^4 k [1 - \((x-3)^{2}\)] dx

= k [x - \((x-3)^{3}\)/3] evaluated at 2 and 4.

= k [4 - \((4-3)^{3}\)/3 - 2 + \(3-2^{3}\)/3]

= k [4 - 8/3 - 2 - (-8/3)]

= k [4/3]

Therefore, k = 3/4.

b. To sketch the graph of f(x), we plot the function for x values between 2 and 4.

f(x) = (3/4) [1 - \((x--3)^{3}\)]

The graph is a bell-shaped curve with a maximum at x=3 and a minimum value of 0 at x=2 and x=4.

c. To find the probability that the actual tracking weight is greater than the prescribed weight, we need to integrate the pdf from 3 to 4:

P (x > 3) = ∫\(3^{4}\) (3/4) [1 -  ] dx

= (3/4) ∫\(0^{1}\)u du (where u = x-3)

= (3/4) [u - \(u^{3}\)/3] evaluated at 0 and 1

= (3/4) [1 - 1/3]

= 1/2

Therefore, the probability that the actual tracking weight is greater than the prescribed weight is 1/2 or 0.5.

d. To find the probability that the actual weight is within 0.25 g of the prescribed weight, we need to integrate the pdf from 2.75 to 3.25 and from 3.75 to 4:

P (2.75 < x < 3.25 or 3.75 < x < 4)

= ∫\(2.75^{3.25}\) (3/4) [1 -] dx + ∫\(3.75^{4}\) (3/4) [1 -  ] dx

= (3/4) [∫\(0^{0.5}\) u du + ∫\(0^{0.5}\) -u du]

= (3/4) [0.25 + 0.25]

= 3/8

Therefore, the probability that the actual weight is within 0.25 g of the prescribed weight is 3/8 or 0.375.

e. To find the probability that the actual weight differs from the presented weight by more than 0.5 g, we need to integrate the pdf outside the interval (2.5, 3.5):

P (x < 2.5 or x > 3.5) = ∫\(2^{2}\).5 (3/4) [1 -] dx + ∫\(3.5^{4}\) (3/4) [1 -  ] dx

= (3/4) [∫1/\(2^{0}\) u du + ∫1/\(2^{0}\) -u du]

= (3/4) [0.125 + 0.125]

= 3/8

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Given:

The function is

\(d(x)=850(0.94)^x\)

To find:

The domain of the function.

Solution:

Domain is the set of input values.

We have,

\(d(x)=850(0.94)^x\)

It is an exponential function, with initial value 850 and decay factor 0.94 because 0.94<1.

The exponential functions are defined for all real values of x. So, the domain of exponential function is always the set of all real numbers.

Therefore, the domain of the function d(x) is the set of all real numbers, i.e., R.

Use the direct comparison test to determine the convergence or divergence of the series, [infinity]∑n=0 7^n/8^n+ 5 ≤ [infinity]∑n=0 7^n/8^n. The series converges.

To use the direct comparison test, we need to find a series whose terms are smaller than the given series and which we know to converge or diverge.

Note that for n ≥ 0, we have:

7^n / 8^n+5 ≤ 7^n / 8^n

This is because 8^n+5 is greater than 8^n, so dividing by the larger denominator gives a smaller result.

Now, we know that the series:

[infinity]∑n=0 7^n/8^n

converges, since it is a geometric series with ratio 7/8 which is less than 1.

Therefore, by the direct comparison test, the given series:

[infinity]∑n=0 7^n/8^n+5

must also converge, since each term is smaller than the corresponding term in the convergent series.

Hence, we can conclude that:

[infinity]∑n=0 7^n/8^n+ 5 ≤ [infinity]∑n=0 7^n/8^n

and therefore, the given series converges.

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Answer:

1/6

Step-by-step explanation:

There are six sides, but only one side has 5 dots, meaning 1/6 has 5 dots. Therefore the probability is 1/6.

ANSWER:

$40.00 Off any chest of drawers

STEP-BY-STEP EXPLANATION:

The original price is $83, we apply the 45% coupon, if the discount is greater than $40 it is the one we must use, if it is less, we must use the coupon for any chest of drawers.

Therefore:

The discount is equal to $37.35, therefore it is better to use the coupon for any chest of drawers since here you have a discount of $40

The correct answer is $40.00 Off any chest of drawers

Answer:

Milk: \(4\frac{1}{2}\)

Flour: \(6\frac{3}{4}\)

Other ingredients: 4

Step-by-step explanation:

36 is 3 times as much as 12. To find how many cups of each ingredient are needed for 36 waffles, we can multiply each cup amount needed to make 12 waffles by 3.

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

\(1\frac{1}{2}\) × 3 = \(4\frac{1}{2}\)

\(2\frac{1}{4}\) × 3 = \(6\frac{3}{4}\)

\(1\frac{1}{3}\) × 3 = 4

hope this helps :)

The Fourier transform of x(t) = 2sin(2πf0t)cos(2πf0t) is π/2)δ(f - f0) + (π/2)δ(f + f0).

A Fourier transform (FT) is a mathematical operation that separates functions into frequency components. The output of the transform is shown as a function of frequency. The most frequent transformations include functions of time or space, and the function that results depends on the frequency of the input variable (either time or space). Analysis is the name given to the process.

The Fourier transform of x(t) = 2sin(2πf0t)cos(2πf0t) is,

                                     X(f) = (π/2)δ(f - f0) + (π/2)δ(f + f0),

where δ is the Dirac delta function.

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The FHA fee that would be paid at the time of closing is the "Up-front Mortgage Insurance Premium" (UFMIP).

Up-front Mortgage Insurance premium is a one-time fee that is paid at the time of closing and is added to the total loan amount. The UFMIP is typically 1.75% of the loan amount, but can vary depending on the loan type and other factors.

The "Mortgage Insurance Premium" (MIP) is an ongoing fee that is paid monthly along with the mortgage payment.

"Homeowner's Insurance" is not an FHA fee but is typically required by lenders to protect the property in case of damage or loss.

"Mortgage Loan Insurance" is another term for mortgage insurance, which is required on FHA loans to protect the lender in case the borrower defaults on the loan.

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A point estimate is the value of a statistic that estimates the value of a parameter. Question 2 is false and question 3 is true.

Question 1: A point estimate is the value of a statistic that estimates the value of a parameter.A point estimate is a single number that is used to estimate the value of an unknown parameter of a population, such as a population mean or proportion

Question 2: False

Mu (μ) is not used to estimate X. Mu represents the population mean, while X represents the sample mean. The sample mean, X, is used as an estimate of the population mean, μ.

Question 3: True

Beta (β) is indeed used to estimate the population proportion (p) when conducting hypothesis testing on a sample. Beta represents the probability of making a Type II error, which occurs when we fail to reject a null hypothesis that is actually false. By calculating the probability of a Type II error, we indirectly estimate the population proportion, p, under certain conditions and assumptions.

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The probability that a randomly selected student used acrylic paint given that the student chose to create a portrait is 3/5 or 60%.

To find the probability that a randomly selected student used acrylic paint given that the student chose to create a portrait, you can use the conditional probability formula:

P(Acrylic Paint | Portrait) = P(Acrylic Paint and Portrait) / P(Portrait)

From the given data:

- There were 3 students who used acrylic paint and created a portrait.
- There were a total of 5 students who created a portrait (3 with acrylic paint and 2 with oil paint).

So, the probability calculation would be:

P(Acrylic Paint | Portrait) = (3/5) / (5/5) = 3/5

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