The simplest rationalisation factor of root 3-root 5

To figure this out we keep in mind two rules

1. A triangles sum of angles is 180

2. An angle of a triangle can not be 0

So the answer is the following

2, 3 & 4

(っ◔◡◔)っ ♥ Hope It Helps ♥

Answer:

\(x=1\)

Step-by-step explanation:

\(\frac{3}{4}(12x-8)+3=10-\frac{1}{2}(6x+2)\)

\((9x-6)+3=10-(3x+1)\)

\(9x-6+3=10-3x-1\)

\(9x-3=9-3x\)

\(9x=12-3x\)

\(12x=12\)

\(x=1\)

here this probally will help

Answer:

5, 3

Step-by-step explanation:

Answer:

8x(5-3)x4=8x2x4=16x4=64

Step-by-step explanation:

(Trials)

(8x5)-3x4= 40-3x4=40-12-28 (nope)

8x5-(3x4)=8x5-12=40-12=28 (nope)

8x(5-3)x4=8x2x4=16x4=64 (yep)

40

Explanation

Step 1

a)initially we have 8 dots

after that

in step 2, we have a new row and , now there are 8 dots per row, so

in step 3, we should have

and

as we can see, the rule works

Step 2

now, to find the patter in step 4, just apply

and

finally, to know the number of dots

Multiply the number of row, by the number of dots per row, so

therefore, the answer is 40

I hope this helps you

The derivative of the function y = x^2x using logarithmic differentiation is dy/dx = x^2x(2 + 2ln(x)).

To find the derivative of the function y = x^2x using logarithmic differentiation, we follow these steps:

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To find the derivative of the function y = x^(2x) using logarithmic differentiation, we take the natural logarithm of both sides, apply logarithmic properties, and then differentiate implicitly.

Start by taking the natural logarithm of both sides of the equation:

ln(y) = ln(x^(2x))

Apply the power rule of logarithms to simplify the expression:

ln(y) = 2x * ln(x)

Now, differentiate both sides of the equation implicitly with respect to x:

(1/y) * dy/dx = 2 * ln(x) + 2x * (1/x)

Simplify the expression:

(1/y) * dy/dx = 2 * ln(x) + 2

Multiply both sides by y to isolate dy/dx:

dy/dx = y * (2 * ln(x) + 2)

Substitute the original value of y = x^(2x) back into the equation:

dy/dx = x^(2x) * (2 * ln(x) + 2)

The derivative of the function y = x^(2x) using logarithmic differentiation is dy/dx = x^(2x) * (2 * ln(x) + 2). Logarithmic differentiation is a useful technique for differentiating functions that involve exponentials or complicated algebraic expressions, as it allows us to simplify the calculation by taking the logarithm of both sides and then differentiating implicitly.

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The first step of the writing process is to brainstorm ideas. One concept addressed in this unit is perimeter, which is the circumference of a shape's outside.

Some ideas for a brief essay on perimeter might include:

The next step is to organize the ideas into an outline. For this essay, a possible outline might be:

I. Introduction

II. How to Calculate the Perimeter

III. Real-world applications of perimeter

IV. Conclusion

With the outline in place, the next step is to write the essay. A possible essay based on this outline might be:

The circumference of a shape's outside is known as its perimeter. It is found by adding up the lengths of all the sides of the shape. Understanding perimeter is important in many subject areas, such as construction and landscaping, as well as in everyday life.

To calculate the perimeter of a shape, you first need to measure the lengths of all the sides. For example, to find the perimeter of a square, you would measure the length of each side and then add them up. To find the perimeter of a rectangle, you would measure the lengths of the two longer sides and the two shorter sides, and then add them up. The perimeter of a triangle is found by adding the lengths of all three sides.

Perimeter has many real-world applications. In construction, perimeter is used to calculate the amount of fencing or framing needed for a building. In landscaping, the perimeter is used to calculate the amount of mulch or sod needed to cover a certain area. It is important to accurately calculate perimeter in these fields, as it can affect the cost and success of a project.

In conclusion, understanding perimeter is important in many subject areas and in everyday life. It is useful for calculating the distance around the outside of a shape, and it has many real-world applications. By practicing and learning about perimeter, we can improve our problem-solving skills and better understand the world around us.

This assignment is incomplete, and a similar one is nowhere to be found. As a result, the essay does not include the answer to the missing question. However, a step-by-step guide on how to write the relevant essay is offered.

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The normal time for the blood test process performed by Beverly Demarr, a hospital lab analyst, is calculated to be 13.92 minutes. The standard time for the blood test is determined to be 14.04 minutes.

a) The normal time for a process is the time it should ideally take to complete the task under standard conditions, without any personal, fatigue, or delay factors. To calculate the normal time, we need to divide the average observed time by the performance rating. In this case, Beverly's average observed time for blood tests is 12 minutes, and her performance rating is 105%. Therefore, the normal time for the process is calculated as follows:

Normal Time = Average Observed Time / Performance Rating

Normal Time = 12 minutes / 105%

Normal Time ≈ 11.43 minutes

b) The standard time for a process includes not only the normal time but also the allowances for personal, fatigue, and delay factors. The total allowance is 16% of the normal time. To calculate the standard time, we add the total allowance to the normal time. Using the calculated normal time of 11.43 minutes, we can determine the standard time as follows:

Total Allowance = Normal Time× Allowance Percentage

Total Allowance = 11.43 minutes × 16%

Total Allowance ≈ 1.83 minutes

Standard Time = Normal Time + Total Allowance

Standard Time = 11.43 minutes + 1.83 minutes

Standard Time ≈ 13.92 minutes

Therefore, the normal time for the blood test process performed by Beverly Demarr is approximately 13.92 minutes, and the standard time for the blood test is approximately 14.04 minutes.

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Answer I blive is is 8

Step-by-step explanation:

The correct function that matches the data in the graph is  a(n) = 46-(n-1)-4 (option C)

The only way is to verify the function matches the data by replacing n.

For example, we know at 5 seconds the temperature is 30. Let's use 5 (n) to verify the function.

This option matches the value of the temperature.

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We can see that Kito has been billed correctly for his purchase. Hence, the correct option is A. Kito has been billed correctly.

Given that Kito made an online purchase of a guitar case for $39.99, a tuner for $24.99, and picks for $26.99, we can calculate the total purchase price as follows: Total Purchase Price = Cost of Guitar Case + Cost of Tuner + Cost of Picks= $39.99 + $24.99 + $26.99= $91.97

Now, taxes are 6% of the total purchase price. So, the tax amount will be: Tax Amount = 6% of Total Purchase Price= 6/100 × $91.97= $5.52

Therefore, the total purchase amount including tax will be: Total Purchase Amount = Total Purchase Price + Tax Amount= $91.97 + $5.52= $97.49Now, Kito selects express shipping.

As per the given table, express shipping for purchase between $50 up to $100 costs $8.20. Since the total purchase amount ($97.49) is in this range, the express shipping cost will be $8.20.

Now, the total amount billed to Kito's credit card is $105.69. We need to determine if Kito has been billed correctly or not.

Total Amount Billed = Total Purchase Amount + Shipping Cost= $97.49 + $8.20= $105.69Therefore, we can see that Kito has been billed correctly for his purchase. Hence, the correct option is A. Kito has been billed correctly.

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a) the electric oven takes longer to cook the meat than the microwave oven, and that the difference in cooking times will increase with larger weights.

b)a joint of meat that takes about 2 hours to cook in an electric oven weighs approximately 1.29 kg.

c) The answer to part a seems sensible, as the formula for the electric oven predicts longer cooking times than the formula for the microwave oven.

The definition of an equation is the claim that two expressions are equal. It consists of two sides, the left-hand side (LHS) and the right-hand side (RHS), separated by an equal sign (=). The LHS and RHS can contain variables, constants, operations, and functions.

a) The two formulae for cooking times are:

(66 x weight in kg) + (35 x time in an electric oven

Microwave oven time = (26 x weight in kg) + 15

We can compare the two formulae by looking at their coefficients and constants.  This suggests that the electric oven takes longer to cook the meat than the microwave oven, and that the difference in cooking times will increase with larger weights.

b) (66 x weight in kg) + (35 x time in an electric oven

2 x 60 = (66 x weight in kg) + 35

120 - 35 = 66 x weight in kg

85 = 66 x weight in kg

weight in kg = 85 / 66

weight in kg ≈ 1.29

So, a joint of meat that takes about 2 hours to cook in an electric oven weighs approximately 1.29 kg.

Microwave oven time = (26 x weight in kg) + 15

Microwave oven time = (26 x 1.29) + 15

Microwave oven time ≈ 48.34 minutes

Therefore, a 1.29 kg joint of meat would take about 48 minutes to cook in a microwave oven.

c) The answer to part a seems sensible, as the formula for the electric oven predicts longer cooking times than the formula for the microwave oven.

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Explanation

Step 1

we have a expression in the form.

we need two a and b numbers such as

now, we can factorize

I hope this helps you

The model's rigging length of 326 feet is likely only a fraction of the total rigging on the real Lady Washington. Nonetheless, it is still an astonishing amount of string to work with when creating a model ship!

Assuming that the scale model is an accurate representation of the Lady Washington, we can use the model's rigging length to estimate the total rigging of the actual ship. The model has 326 feet of rigging, and if we know the scale of the model, we can determine the length of the real ship's rigging.
Unfortunately, without knowing the scale of the model or the dimensions of the actual ship, it is impossible to give an exact answer. However, we can make some educated guesses based on typical rigging lengths for ships of a similar size and type.
The Lady Washington is a replica of an 18th-century trading vessel, and based on historical records, we can estimate that a ship of this type and size would have had around 1,000 feet of rigging. This includes the standing rigging (which supports the mast and stays in place all the time), as well as the running rigging (which is used to adjust the sails).

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Answer:

Bond Price​= $108,175.71

Step-by-step explanation:

Giving the following information:

Face value= $100,000

Coupon rate= 0.05/2= 0.025

YTM= 0.04/2= 0.02

Time period= 10*2= 20 semesters

To calculate the price of the bond, we need to use the following formula:

Bond Price​= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]

Bond Price​= 2,500*{[1 - (1.02^-20)] / 0.02} + [100,000/(1.02^20)]

Bond Price​=  40,878.58 + 67,297.13

Bond Price​= $108,175.71

In this exercise we have to use the knowledge of finance to calculate the stipulated value through the percentages, thus we find that:

Bond Price will be  \(\$108,175.71\)

From the information given in the text we found that:

To calculate the price of the bond, we need to use the following formula:

\(Bond\ Price = cupon*{[1 - (1+i)^{-n}] / i} + [face \ value/(1+i)^n]\)

So with the formula already informed we will replace the values ​​given in the text find what we want.

\(Bond \ Price = 2,500*{[1 - (1.02^{-20})] / 0.02} + [100,000/(1.02^{20})]\\Bond Price= 40,878.58 + 67,297.13\\Bond Price= \$108,175.71\)

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The only kind of data generated by observational research is correlations or patterns in the data that have been observed. By using correlations, one variable's value can be used to predict the value of another.

Explanation:

Accurate predictions using data correlation can be ensured by using a variety of methods. Firstly, it is important to ensure that the data is free from errors and is of high quality. This can be done by cleaning and validating the data to remove any inconsistencies and outliers. Secondly, it is important to analyze the data thoroughly and identify any patterns or trends. Furthermore, it is beneficial to use appropriate statistical tests and algorithms such as linear regression, logistic regression, and decision trees to identify the predictive relationships between the variables. Finally, it is important to evaluate the model’s performance to determine the accuracy of the predictions.

The most effective methods for ensuring accurate predictions using data correlation are:

1. Perform Exploratory Data Analysis: Exploratory data analysis is an essential step in any predictive modeling process. It involves exploring the data to identify patterns, trends, and relationships within the data. This helps to identify any potential issues or biases within the data that could affect the accuracy of predictions.

2. Use Statistical Tests: Statistical tests can be used to measure the strength of the relationship between two variables. These tests can help to identify which variables are most strongly correlated with each other and can help to determine which variables should be used in a predictive model.

3. Use Machine Learning Algorithms: Machine learning algorithms can be used to create predictive models that can identify and learn patterns in the data. These algorithms are particularly effective at identifying complex relationships between variables that may not be identified by statistical tests.

4. Validate Predictions: Predictions should always be validated to ensure that they are accurate and reliable. This can be done by comparing the predictions against known outcomes or by testing the model on a separate data set.

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Answer:30 times 3 times 5

Step-by-step explanation:

Answer:

Width = 2 m

Length = 13m

2(2) + 2(13)=4+26=30m

Step-by-step explanation:

Width: x

Length: 5x+3

2x + 2(5x+3) = 2x + 10x + 6)

12x + 6 = 30

12x = 24

X = 2

Width = 2

Length = 13

Answer:

p.

Step-by-step explanation:

I just took the quiz and got it correct.

Hope this helps! ^^

Answer:

p

Step-by-step explanation:

just took it

The population and sample of the given study are;

Population: New York City residents

Sample: 40% of residents earn more than the median salary

We are told that;

- There was a recent study

- This study was carried out among the new York city residents

- It was discovered that 40% of those sampled earned more than the median salary

Now, when talking about statistics, the population usually represents the space out of which a sample was picked and in this case it is the new York residents.

Secondly, the sample usually represents the number/percentage of people picked out of the population which in this case is 40% of residents earn more than the median salary.

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Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

Answer:

6

Step-by-step explanation:

Answer:

6 students read 2 books

The difference quotient for the function f(x) = 69x + 2 is a constant value of 69. This means that the average rate of change of the function over any interval is always 69.

To evaluate and simplify the difference quotient for the function f(x) = 69x + 2, we first need to understand what the difference quotient represents. The difference quotient is a mathematical expression that measures the average rate of change of a function over a given interval. It is defined as:

[f(x + h) - f(x)] / h,

where h represents a small change in the x-values.

Let's proceed with calculating the difference quotient for the given function:

[f(x + h) - f(x)] / h

= [(69(x + h) + 2) - (69x + 2)] / h

= [69x + 69h + 2 - 69x - 2] / h

= (69h) / h

= 69.

To simplify the expression, we used the distributive property to expand the function f(x + h). Then, we simplified the numerator by combining like terms. The constant terms 2 and -2 canceled each other out. The h term in the numerator can be factored out, which allows us to cancel it out with the h term in the denominator. Finally, we are left with the simplified expression of 69.

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Answer:

Step-by-step explanation:

31 × 29 + 14 = 913

Then

913 / 29 = 31 r 14

The volume of a box is the amount of space in it.

The volume of the largest box is 361.186 \(ft^3\)

given

The dimension of the cardboard is given as:

length = 17ft

width = 10ft

Assume the cut-out is x.

So, the dimension of the box is:

length = 17 - 2x ft

width = 10 - 2x ft

height = x ft

The volume of the box is:

volume = \((17 - 2x) \times (10 - 2x) \times x\)

volume = \(299x + 4x^3 - 72x^2\)

putting the equation up to 0

\(299x + 4x^3 - 72x^2 = 0\)

on solving this we get

x = 2.67

now putting the value in this equation we get

\(299(2.67) + 4(2.67)^3 - 72(2.67)^2 = v\\v = 361.186\)

Hence, the maximum value of the box is 361.186 \(ft^3\)

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Answer:

jkbgf7jhfdt7jceru9onvdtihdr

Answer:

\(2 - \frac{y}{4}\)

Step-by-step explanation:

Given equation:

                          \(\frac{40 - 5y}{20}\)

Problem;

Simplify the equation;

Solution:

         \(\frac{40 - 5y}{20}\) can be expressed as;

  = \(\frac{40}{20}\)  - \(\frac{5y}{20}\)

       dividing by 20 gives;

 = 2 - \(\frac{y}{4}\)

The equation simplified is;

  = \(2 - \frac{y}{4}\)

Answer:

Step-by-step explanation:

12.

the formula for the volume of a cone is V=1/3hπr²

549.5 = 1/3(21)(3.14)(x)^2

549.5 = 7(3.14)(x)^2

549.5 = 21.98(x)^2

549.5 = 21.98(x)^2

divide by 21.98 on both sides

25 = (x)^2

sqrt 25 = sqrt x^2

5 = x

13.

the formula for the volume of a sphere is V=4/3πr^3

v=4/3(3.14)9^3

v=4/3(3.14)729

v=(4.186)729

v=3052.08

14.

the formula for the volume of a sphere is V=4/3πr^3

523=4/3(3.14)r^3

523=4/3(3.14)r^3

523=(4.186)r^3

divide by 4.186 on both sides

124.92=r^3

cube root on both sides

4.998=r

round

5=r

Please mark brainliest this took me a while

Answer:

2 (teal)

Step-by-step explanation:

this definition would be surface area not volume. volume is what could fit inside.

The identified lines or segments that intersect circle T are: B. chords: PQ, RS, and WX; secants: none; tangents: v and u; diameter: WX; radii: WT and TX.

A chord is defined as a line segment in a circle that has its two endpoints on the circumference of the circle. The longest chord in a circle is a diameter.

For example, the chords in the circle T, are: PQ, RS, and WX.

A secant is a line segment that has one end on the circumference of a circle, and extends out of a circle. There are no secants in circle T.

Tangents are line segments that have touches the circumference of a circle but do not cross the circle.

For example, the tangents in circle T are, v and u.

A diameter can be described as a line that divides a circle into two halves. The diameter in the circle given is: WX.

Radii are lines that has one endpoint at the center of a circle and the other endpoint on the circumference of a circle.

The radii in circle T are: WT and TX.

In summary, the identified lines or segments that intersect circle T are: B. chords: PQ, RS, and WX; secants: none; tangents: v and u; diameter: WX; radii: WT and TX.

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Answer:

d)the observations expressed in standard units

Step-by-step explanation:

The average will change and hence, consequently, so will the deviations from the average and also the standard deviation. so, the only option left is d)