If P = (5,4), find the image of P under the following rotation. 90° counterclockwise about the origin ([?], [ ])​

\(\ln(3x+2) = 3x\\\\\implies \log_e (3x+2) = 3x\\\\\implies e^{3x} = 3x+2\)

The critical value for an 80% confidence interval is 1.28.

To find the critical value for constructing an 80% confidence interval for the difference in two proportions, we need to use the z-table.

Step 1: Find the critical value.

Since we want an 80% confidence interval, the remaining area (1 - 0.80 = 0.20) is divided equally into the two tails. Each tail has an area of 0.10. To find the critical value, we look for the z-score that corresponds to an area of 0.10 in the standard normal distribution table.

Using the z-table or a calculator, we find that the z-score for an area of 0.10 (one tail) is approximately 1.28.

Therefore, the critical value for an 80% confidence interval is 1.28.

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Cost price = $44

mark up percent = 80% = 80/100 = 0.8

selling price = ?

The markup formula:

Answer:

4x+x+x+90=360

6x+90=360

6x=270

x=45

good luck!

4x+x+x+90=360

6x+90=360

6x=270

x=45

Answer:

triangular pyramid

Step-by-step explanation:

its 4 triangular shapes put them together and you get a pyramid not a rectangular, square pyramid or prism and neither a triangular prism

Answer:

It's prime, the others are for English.

Step-by-step explanation:

The time taken for the tub to empty is approximately 9.18 minutes.

Suppose the drain is opened on a tub containing 34 gallons of water.

Water drains out of the bathtub at a rate of 4 gallons per minute.

However, the tap wasn't closed properly, so water is still flowing into the tub at a rate of 0.3 gallons per minute. How many minutes will it take for the tub to empty.

Solution:

We are given:

Initial quantity of water = 34 gallons.

Water flowing out of the tub = 4 gallons/minute.

Water flowing in to the tub = 0.3 gallons/minute

We need to find: Time taken for the tub to empty.

Let us assume that the time taken for the tub to empty is t minutes.

Now, the water that is still present in the tub is (34 - 4t + 0.3t) gallons.

Let us set this expression equal to zero to find the time taken for the tub to empty.

34 - 4t + 0.3t = 0

Simplifying, 34 - 3.7t = 0 or 3.7t = 34 or t = 34/3.7t ≈ 9.18.

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Answer: 8 people in total

Step-by-step explanation:

If you have two friends at a party and they invite two friends that is 4 people if another two people invited two more people that’s another 4 people add 4 and 4 8 people were invited in total

Answer:

9

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

i think its 90 because if 720 could be produced in 8 hours then 90 are being produced each hour

(x-2) (x-6)

x(x-6)-2(x-6)

x²-6x-2x-12

X²-4x-12

The equation of the ellipse with vertices at (-1,1) and (7,1) and one focus on the y-axis is ((x-3)^2)/16 + (y-k)^2/9 = 1, where k represents the y-coordinate of the focus.

To determine the equation of an ellipse, we need information about the location of its vertices and foci. Given that the vertices are at (-1,1) and (7,1), we can determine the length of the major axis, which is equal to the distance between the vertices. In this case, the major axis has a length of 8 units.

The y-coordinate of one focus is given as 0 since it lies on the y-axis. Let's represent the y-coordinate of the other focus as k. To find the distance between the center of the ellipse and one of the foci, we can use the relationship c^2 = a^2 - b^2, where c represents the distance between the center and the foci, and a and b are the semi-major and semi-minor axes, respectively.

Since the ellipse has one focus on the y-axis, the distance between the center and the focus is equal to c. We can use the coordinates of the vertices to find that the center of the ellipse is at (3,1). Using the equation c^2 = a^2 - b^2 and substituting the values, we have (8/2)^2 = (a/2)^2 - (b/2)^2, which simplifies to 16 = (a/2)^2 - (b/2)^2.

Now, using the distance formula, we can find the value of a. The distance between the center (3,1) and one of the vertices (-1,1) is 4 units, so a/2 = 4, which gives us a = 8. Substituting these values into the equation, we have ((x-3)^2)/16 + (y-k)^2/9 = 1, where k represents the y-coordinate of the focus. This is the equation of the ellipse with the given properties.

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The equation states that the sum of these temperature values, multiplied by -47 Tm.n divided by (4.35 * k), should equal zero. This equation likely arises from a discretization scheme for solving a heat transfer or diffusion problem numerically, where the temperature at each grid point is approximated based on neighboring points.

The equation you provided is:

Tm,n+1 + Tm,n-1 + Tm+1,1 + Tm-in = -47 Tm.n / (4.35 * k)

This equation appears to represent a numerical scheme or a finite difference approximation for solving a partial differential equation. The equation relates the temperature values at different grid points in a two-dimensional domain. Here's a breakdown of the terms in the equation:

• Tm,n+1 represents the temperature at the (m, n+1) grid point.

• Tm,n-1 represents the temperature at the (m, n-1) grid point.

• Tm+1,1 represents the temperature at the (m+1, 1) grid point.

• Tm-in represents the temperature at the (m, n) grid point.

• k is a constant related to the thermal conductivity of the material.

• 4.35 is a scaling factor.

The equation states that the sum of these temperature values, multiplied by -47 Tm.n divided by (4.35 * k), should equal zero. This equation likely arises from a discretization scheme for solving a heat transfer or diffusion problem numerically, where the temperature at each grid point is approximated based on neighboring points.

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The explanation about counterexample for the conjecture is describe below.

The term counterexample alludes to an occasion or model that offers the expression bogus. This is utilized in rationale to check in the event that an assertion is valid or not. Counter model will quite often counter the explanation being talked about with admirable sentiments.

The inquiry needs to show the relationship that might exist among perimeter and area of a rectangle.

The counterexample gave the aspects that gave the border which is 40 however neglected to give area of 1 square unit

Thus, A rectangle with length 19.99 units and width 0.01 unit has a perimeter of 40 units and an area of 0.1999 square unit.

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Value of r is different for every series

let

a , b , c , d ..... be geometric series then

r = b/a or d/c and so on

where r is common ratio

Answer:

77 minutes or 1 hour, 17 minutes

Step-by-step explanation:

7000 feet in 20 minutes is 700 feet in 2 minutes or

350 feet per minute

to find the number of minutes to go 26950 feet we can divide that by 350

26950 ÷ 350 = 77 minutes or 1 hour, 17 minutes

The fixed equation in the given question is y=x-4

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A simple equation is a mathematical formula that, on both sides of the "equal to" sign, expresses the connection between two expressions. Equations in this category include a variable, which is often expressed as x or y. Simple equations frequently need to be rearranged in order to be solved.

In the given equation

To fix the equation such that the line coincides with the star

the equation should be

y=x-4

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B the one u already have clicked

Answer:

$100.00

Step-by-step explanation:

Compound interest is calculated by multiplying the initial loan amount, or principal, by the one plus the annual interest rate raised to the number of compound periods minus one. This will leave you with the total sum of the loan including compound interest.

The amount I have to pay back in full is approximately 100 dollars.

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest is,

A = P(1 + r/100)ⁿ.

Where, A = amount, P = principle, r = rate, and n = time in years.

The formula for compound interest compounded semi-annually is,

A = P(1 + (r/2)/100)²ⁿ. (two semi-annuals in one year)

Therefore, A = 95(1 + (5.2/2)/100)²ˣ¹.

A = 95(1 + 0.026)².

A = 95(1.026)².

A = 95×1.052676.

A = $100 approximately.

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Answer:

Step-by-step explanation:

This is a super question to know the answer to.

Step One

Find the square root of 1147

The √1147 = 34          

So you have to check the primes up to 34

2 3 5 7 11 13 17 19 23 29 31 The other odd numbers up to 34 have already been checked.

You have 11 primes, but some of them can be eliminated without do any division.

2 is even. 1147 is not. So 2 is not a factor

3 1147 adds to 13. 13 is  not divisible by 3. Neither is 1147

5 1147 does not end in 0 or 5. 5 is not a factor

7 is not a factor. There is a fraction left over when 1147 is divided by 7

1147 cannot be evenly divided by 11 because 47 is not divisible by 11.

1147 / 13 = 88. something. Not divisible by 13

1147 / 17 = 67 and a remainder. 1147 is not divisible by 17

1147 / 19 = 60 and a remainder. 1147 is not divisible by 19

1147 / 23 = 49 and a remainder. 23 is not a factor of 1147

1147 / 29 = There's a remainder here. 29 is not a factor

1147/31 =   This is an even division. You get 37 another prime

1147 is not prime

1147 = 31 * 37     After all that work ...

Answer:

Length: 20, Width: 14

Step-by-step explanation:

(x-12)(x-18)

x^2-30x+216=280

x^2-30x-64=0

x=32,-2

Plug 32 into x, and see if it equals 280

Answer:

14 cm squared

Step-by-step explanation:

4cm x 3cm = 12cm squared

2cm x 1cm = 2cm squared

12cm^2 + 2cm^2 = 14cm sqaured

Answer:

I don't give answers sorry.

Step-by-step explanation:

What you would do is take 1 and subract the two probabilites from it. The equation should be \(1-\frac{1}{3} -\frac{2}{5}\). You can find a common denominator by making it both 15.

Based on the analysis, discuss any differences observed between the two training methods. Discuss the analysis and findings. Reflect on the results of the analysis.

However, I can guide you on how to approach the analysis and provide you with a general outline of the steps you can follow:

Read the case problem

Review the case problem from Chapter 11 of the ebook related to the Air Force training program.

Perform the analysis

a) Run the F-test two-sample for variances:

Using Excel's Data Analysis ToolPak, follow the instructions from the provided video to perform an F-test two-sample for variances on the training data file.

b) Summarize the training time data:

Calculate appropriate descriptive statistics (e.g., mean, standard deviation) for each training method. Compare the summary statistics to identify similarities or differences between the two methods.

c) Conduct a hypothesis test on the difference between population means:

Perform a hypothesis test (e.g., independent t-test) to assess whether there is a statistically significant difference between the population means of the two training methods. Interpret and discuss the findings.

d) Calculate standard deviation and variance:

Compute the standard deviation and variance for each training method. Compare the values to gain insights into the variability within each method.

e) Conduct a hypothesis test on the equality of population variances:

Perform a hypothesis test (e.g., F-test) to determine if there is a significant difference in population variances between the two training methods. Analyze the results and discuss the findings.

f) Draw conclusions and provide recommendations:

Based on the analysis, discuss any differences observed between the two training methods. Provide a conclusion and recommendation on which training method appears to be more effective. Justify your recommendation with supporting evidence from the analysis.

Discuss the analysis and findings

Reflect on the results of the analysis. Identify any surprising or noteworthy findings. Formulate recommendations based on the findings and include specific details from the managerial report to support your recommendations.

Please note that without access to the actual data or case problem, the guidance provided is general in nature. It's important to adapt the steps to the specific case problem and data provided in the ebook.

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The 4th root of 16 is 2

The fourth root of a number is defined as the square root of square root of the number

It is a number that when multiplied four times by itself the original number is obtained.

It is denoted the symbol ' \(\sqrt[4]{x}\), where 'x' is the original number.

To determine the 4th root of 16, we have

\(\sqrt[4]{16}\) = 2

2 × 2 × 2 × 2 × 2 = 16

2^4 = 16

Thus, the 4th root of 16 is 2

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Over the past 10 years, you have paid off $1,80,000 - $1,12,681 = $67,319 of the original loan.

This amount represents the reduction in the loan balance over the years. It is essential to consider that your monthly payments were not entirely directed towards the loan principal; a portion went towards paying interest charges. As a result, the loan balance was gradually reduced over time.

The interest on the loan accumulated each month, which affected the allocation of your payments. Initially, a significant portion of your payments likely went towards interest, with a smaller fraction reducing the principal balance. However, as time progressed, the interest portion decreased, and more of your payments started chipping away at the loan's principal.

It is crucial to recognize the impact of interest on loans, especially over extended periods. The difference between the current value of your house and the remaining loan balance illustrates the progress you have made in building equity over the years. As you continue making payments, the loan balance will further diminish, and your equity will continue to grow.

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