determine the behavior of the functions defined below. if a limit does not exist or the function is undefined, write dne.
a. consider h(x) = 4x^2 + 9x^2 / -x^3 + 7x
i) for what value of x is h(x) underfined ? ii) for what value (s) of does h(x) have a vertical aymptote?
iii) for what value(s) of does h(z) have a hole?
iv) lim h(x) =

The number of minutes of practice in two weeks is 658.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Total minutes of practice in one week = 329.

Total minutes of practice in two weeks.

= 2 x 329

= 658 minutes.

Thus,

658 minutes was the practice in two weeks.

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Answer:

y- intercept = \(\frac{1}{2}\)

Step-by-step explanation:

Given

f(x) = \(\frac{1}{2}\) \((6)^{x}\)

To find the y- intercept let x = 0 , then

f(0) = \(\frac{1}{2}\) \((6)^{0}\) [ \(6^{0}\) = 1 ]

      = \(\frac{1}{2}\) × 1 = \(\frac{1}{2}\) ← y- intercept

The study found that children's memory was significantly worse in the courtroom setting than in the small room setting. This suggests that memory is sensitive to context, and that children remember better in familiar, more comfortable settings.

The study used a two-sample t-test to compare the memory of children in the two settings. The results of the t-test showed that the mean memory score in the courtroom setting was significantly lower than the mean memory score in the small room setting. This difference was statistically significant at the p < .05 level.

The results of the study suggest that memory is sensitive to context. Children remember better in familiar, more comfortable settings. This is likely because children are less stressed and more relaxed in familiar settings. When children are stressed, their heart rate increases, which can impair their memory.

The study has implications for the design of educational and clinical settings. In order to optimize children's memory, educational and clinical settings should be designed to be as familiar and comfortable as possible.

Here are the six steps of hypothesis testing for the data given:

Identify the populations, comparison distribution, and assumptions. The populations are the children in the courtroom setting and the children in the small room setting. The comparison distribution is the t-distribution. The assumptions are that the data are normally distributed and that the variances of the two populations are equal.

State the null and research hypotheses. The null hypothesis is that there is no difference in memory between the two settings. The research hypothesis is that memory is worse in the courtroom setting than in the small room setting.

Determine the characteristics of the comparison distribution. The degrees of freedom for the t-test is 38. The mean of the comparison distribution is 0. The standard deviation of the comparison distribution is 1.96.

Determine the critical value, or cutoffs. The critical value for the t-test at the p < .05 level is 2.045.

Calculate the test statistic. The test statistic is -2.08.

Make a decision. The test statistic falls outside of the critical region, so we reject the null hypothesis. There is sufficient evidence to conclude that memory is worse in the courtroom setting than in the small room setting.

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Given that the area of the floor in Robert's square bedroom is \(49 m²\). To find the length of his bedroom, We know that the area of the square = side × side .

Area of the floor in Robert's bedroom = \(49 m²\)∴

Side of the square =\(√49\)

= 7m Therefore, the length of his bedroom is 7 meters. The length of the Robert's bedroom is 7 meters.

Note: It is important to note that the area of a square is given by A = \(side²\). We can calculate the side of the square by taking the square root of the area of the square i.e side = \(√A.\)

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The required Cost of the bench will be $475

Let the cost of a garden table be $x

And the cost of a bench be  $y

Now, according to the question

Combined cost of garden table and bench are $1023

Therefore, we can write

x + y = 1023……….(i)

Now, again the cost of garden table is $73 more than that the cost of the bench

Therefore, we can write

x - y = 73………..(ii)

Subtracting equation (i) and (ii) we get

2x = 1096

x = 1096/2 = 548

x = 548

Putting the value of x in equation in (i) we get

y = 1023 - 548 = 475

Cost of garden table is $x = $548

Cost of bench is $y = $475

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The test statistic value for this situation is approximately -2.474.

A hypothesis test comparing the sample mean to the assumed population mean is necessary in order to determine the value of the test statistic. The population mean triglycerides level would be the null hypothesis (H0), and the alternative hypothesis (Ha) would be that the population mean is not 130 units.

The t-statistic, which is calculated as follows, is the test statistic utilized in this circumstance:

t = (test mean - expected populace mean)/(test standard deviation/sqrt(sample size))

Given the data gave, we have:

Expected populace mean (μ): 130 Mean of the sample (x): 122

Test standard deviation (s): 20 (n) sample sizes: 30

Connecting the qualities into the recipe, we can work out the test measurement:

t = (122 - 130) / (20 / sqrt(30)) t = -8 / (20 / sqrt(30)) After calculating this expression, we come to the following conclusion:

t ≈ - 2.474

Hence, the test measurement an incentive for this present circumstance is roughly - 2.474.

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Answer:

i cant see what u attached please reupload

Step-by-step explanation:

D. 45,000 ft,²

As per the scale given,

1 in. = 15 ft.

10 in. = 10×15 ft. = 150 ft.

20 in. = 20×15 ft. = 300 ft.

So, area = 150 ft. × 300 ft. = 45,000 ft.²

Answer:

y = (5/9)x + 2

Step-by-step explanation:

Slope intercept form is

y = mx + b then plug in the values

y = (5/9)x + 2

Information is needed to evaluate the project's financial viability, considering factors such as the initial investment, expected cash flows, cost of capital, and project duration.

To calculate the year 1 operating cash flows (OCF), we need to subtract the year 1 costs from the year 1 revenues:

OCF = Year 1 Revenues - Year 1 Costs

OCF = $192,000 - $125,000

OCF = $67,000

To find the depreciation expense in year 3, we need to determine the depreciation method. The provided information is incomplete regarding the depreciation method, so we cannot calculate the depreciation expense in year 3 without knowing the specific method.

The change in Net Working Capital (NWC) in year 2 can be determined by multiplying the Net Working Capital percentage (given as a percentage of t+1 revenues) by the year 1 revenues and subtracting the result from the year 2 revenues:

Change in NWC = (Year 2 Revenues - Net Working Capital percentage * Year 1 Revenues) - Year 1 Revenues

Without the specific Net Working Capital percentage or Year 2 Revenues values, we cannot calculate the exact change in NWC in year 2.

The net cash flow from salvage (ATSV) is calculated by multiplying the Salvage Value percentage by the Initial Cost:

ATSV = Salvage Value percentage * Initial Cost

ATSV = 28% * $390,000

ATSV = $109,200

To calculate the project's NPV, we need the cash flows for each year, the cost of capital, and the project duration. Unfortunately, the information provided does not include the cash flows for each year, so we cannot calculate the project's NPV.

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The complete question is:

Below are your numerical inputs for the problem: 4 & Initial Cost (\$) & 390000 5 & Year 1 Revenues (\$) & 192000 6 & Year 1 Costs (\$) & 125000  7 & Inflation & 2.75% 8 & Project Duration (years) & 6 9 & Depreciation Method & 10 & Tax Rate & 11 & Net Working Capital (\% oft+1 Revenues) & MACRS 12 & Salvage Value (\$) & 28.00% 13 & Cost of Capital & 15.00% & 245000 How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.

I'm pretty sure it would be $30

Answer:

I believe the answer is, you need to give your uncle 30 dollars.

Step-by-step explanation:

The last column evaluates to "T" in all rows. Therefore, the argument is valid since the conclusion always follows from the premises.

Let's assign symbols to represent the statements in the argument:

P: The boss snaps at you.

Q: You make a mistake.

R: The boss is irritable.

The argument can be symbolically represented as follows:

[(P ∧ Q) → R] ∧ ¬P → ¬R

To determine the validity of the argument, we can construct a truth table:

P | Q | R | (P ∧ Q) → R | ¬P | ¬R | [(P ∧ Q) → R] ∧ ¬P → ¬R

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

T | T | T |      T      |  F |  F |          T          |

T | T | F |      F      |  F |  T |          T          |

T | F | T |      T      |  F |  F |          T          |

T | F | F |      F      |  F |  T |          T          |

F | T | T |      T      |  T |  F |          F          |

F | T | F |      T      |  T |  T |          T          |

F | F | T |      T      |  T |  F |          F          |

F | F | F |      T      |  T |  T |          T          |

The last column represents the evaluation of the entire argument. If it is always true (T), the argument is valid; otherwise, it is invalid.

Looking at the truth table, we can see that the last column evaluates to "T" in all rows. Therefore, the argument is valid since the conclusion always follows from the premises.

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Answer:

póngalo en español como puedo yo poner lo en español por que todo me sale en inglés

After considering the equation, inverse of y = \(9x^ {2}\) - 4 is found as  \(f^{-1x}\)= ±√[(x + 4)/9].

To find the inverse of the function y = \(9x^{2}\) - 4, we can follow these steps:

x = \(9y^{2}\) - 4

x + 4 = \(9y^{2}\)

\(y^{2}\) = (x + 4)/9

y = ±√[(x + 4)/9]

Note that since we are finding the inverse of a function, we need to include both the positive and negative square roots to ensure that the inverse is a function.

3. Switch the roles of x and y by replacing y with \(f^{-1x}\) and x with f(y):

\(f^{-1x}\) = ±√[(x + 4)/9]

Therefore, the inverse of y = 9x² - 4 is \(f^{-1x}\) = ±√[(x + 4)/9].

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To prove that f(1) = 1 for a multiplicative arithmetic function f, we'll use the property that f(mn) = f(m) * f(n) for any integers m and n.

Given there is a positive integer n such that f(n) ≠ 0, we can set m = 1. Then we have f(1 * n) = f(1) * f(n).

Since 1 * n = n, we get f(n) = f(1) * f(n). Since f(n) ≠ 0, we can divide both sides by f(n):

f(1) = f(n) / f(n).

Since any nonzero integer divided by itself equals 1, we have:

f(1) = 1.

Therefore, for a multiplicative arithmetic function f, if there is a positive integer n such that f(n) ≠ 0, then f(1) = 1.

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Answer:

59.3ft³

Step-by-step explanation:

The formula for the volume of a cylinder is V= πr²h, where r is radius and h height.

So in our case, we have r= 3ft and h=2.1 ft and π≅3.14

So from the formula for the volume of a cylinder, we get 3.14*3²*2.1 = 59.3 ft³

The volume of the cylinder is about 59.3 ft³

Answer:

option 2

Step-by-step explanation:

y-int is +2, and option 2 hits y-axis at 2

slope is 1/3, and option rises 1, runs 3

the answer is 5 2 9 2

really all you have to do is multiply 126 * 2 * 7 * 3

then all that's next is to just put the letters in the order they were originally at the end of the answer

The distance from E to side AD is 25/13.

To find what is the distance from E to side AD:

Substitute them with known lengths:

Therefore, the distance from E to side AD is 25/13.

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The correct answer is given below:
Square ABCD has side lengths of 13 units. Point E lies in the interior of the square such that AE=5 units and BE=12 units. What is the distance from E to side AD? Express your answer as a mixed number.

The rate "495 miles in 9 hours" in simplest form is 55 miles per hour. To write "495 miles in 9 hours" as a rate in simplest form.

We divide the total distance by the total time:

Rate = Distance / Time

In this case, the distance is 495 miles and the time is 9 hours.

Rate = 495 miles / 9 hours

To simplify the rate, we can divide both the numerator and the denominator by their greatest common divisor (GCD).

The GCD of 495 and 9 is 9. So, we divide both 495 and 9 by 9:

495 / 9 = 55

9 / 9 = 1

Therefore, the rate "495 miles in 9 hours" in simplest form is 55 miles per hour.

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The function h(x) = 4sec(π/4(x+3)) represents a graph with a stretching factor of 4 and a period of 8π/4 = 2π. The correct graph representation of h(x) = 4sec(π/4(x+3)) needs to show these characteristics. The correct answer would be (b).

The function h(x) = 4sec(π/4(x+3)) has a stretching factor of 4, which means that the amplitude of the function is multiplied by 4, causing the graph to be vertically stretched.

The period of the function is given by P = 2π/π/4 = 8π/4 = 2π. This means that the graph will complete two periods within the interval [-P, P], which in this case is [-2π, 2π].

The asymptotes of the function occur at x = -P/2 and x = P/2. Substituting the value of P = 2π, the asymptotes are x = -π and x = π. These vertical asymptotes indicate where the graph approaches infinity or negative infinity as x approaches these values.

To determine the correct graph representation of h(x) = 4sec(π/4(x+3)), you would need to choose the graph option that shows the stretching factor of 4, a period of 2π, and vertical asymptotes at x = -π and x = π.

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Answer:

100 red balls and 20 blue balls.

Step-by-step explanation:

So to find out what you need to multiply the ratio by to get the answer, you add 10 and 2. That's 12. 120/12 is 10. 10:2 times 10 = 100: 20, so there are 100 red balls and 20 blue balls.

Answer:

Step 2

Step-by-step explanation:

(100 + 3)² = 100² + 2 x 100 x 3 + 3²

This is by the law of squares
(a + b)² = a² + 2ab + b²

The vertex of the parabola is of the form,

The vertex given is,

The general equation of parabola is

Here, p is the distance between vertex and focus.

Susbtitute the values,

The correct option is C.

Answer:

I think L = W/2A

Step-by-step explanation:

Answer:

A: \(L=\frac{2A}{W}\)

Step-by-step explanation:

\(A=\frac{LW}{2}\)

\(\frac{LW}{2}=A\)

\(\mathrm{Multiply\:both\:sides\:by\:}2\)

\(\frac{2LW}{2}=2A\)

\(LW=2A\)

\(\mathrm{Divide\:both\:sides\:by\:}W;\quad \:W\ne \:0\)

\(\frac{LW}{W}=\frac{2A}{W};\quad \:W\ne \:0\)

\(Simplify\)

\(L=\frac{2A}{W};\quad \:W\ne \:0\)

g(x) = \(3x^{2} - 5x + 2\), h(x) = 2x - 5

-> 4g(x) - 2h(x) = \(12x^{2} - 20x + 8 - (4x - 10)\)

= \(12x^{2} - 24x + 18\)  = \(6(2x^{2} - 4x + 3)\)

The correct option for this questions is Option C

1/3, 2/6, 3/9, 4/12, 5/15, 6/18, 7/21, 8/24, 9/27, 10/30, 11/33, 12/36, 13/39, 14/42, 15/45, 16/48, 17/51, 18/54, 19/57, 20/60, and so on ...

Two frations are equivalent when they have the same value when written in lowest terms. The fraction 8/24 is equal to 1/3 when reduced to lowest terms. To find equivalent fractions, just multiply the numerator and denominator of that reduced fraction (1/3) by any interger number, ie, multiply by 2, 3, 10, 30.

Equivalent fractions may look different, but when you reduce then to the lowest terms you will get the same value. If any fraction is not reduced to lowest terms, you can get other equivalent fractions just dividing both numerator and denominator by the same number.

Thus, option c is your answer

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The clinic should hire at least 7 doctors in order to serve 122 patients per day.

To determine how many doctors the clinic should hire in order to serve 122 patients per day, we need to calculate the number of patients each doctor can see within their working hours.

Let's start by calculating the total number of minutes each doctor works per day. Since each doctor works 8 hours per day and there are 60 minutes in an hour, the total minutes worked by a doctor per day would be 8 hours × 60 minutes = 480 minutes.

Next, we need to find out how many patients a doctor can see within their working hours. Given that each patient requires an average of 27 minutes with a doctor, the number of patients a doctor can see per day would be 480 minutes ÷ 27 minutes per patient = 17.7778 patients.

Since we can't have a fractional number of patients, we need to round this number up to the nearest whole number to ensure that each patient gets the required attention. Therefore, each doctor can see approximately 18 patients per day.

To serve 122 patients per day, we divide the total number of patients by the number of patients each doctor can see per day: 122 patients ÷ 18 patients per doctor = 6.7778 doctors.

Again, we can't have a fractional number of doctors, so we need to round this number up to the nearest whole number. Therefore, the clinic should hire at least 7 doctors to serve 122 patients per day.

In summary, the clinic should hire at least 7 doctors in order to serve 122 patients per day.

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Answer:

multiply vertically

Step-by-step explanation: