Select the correct answer​

Answer:

5  2/3 you can't convert it to a fraction of the answer would be 17/3 because nothing can be done.

Step-by-step explanation:

A variable declared as `final` in Java cannot be changed after it is initialized and acts as a constant. Static variables are used to share a common value across all instances of a class.

In Java, the `final` keyword is used to declare a variable that cannot be changed after it is initialized. Such a variable is often referred to as a constant. If a variable is declared as `final`, it must be initialized at the time of declaration, and once initialized, its value cannot be changed. Therefore, if a `final` variable is declared and initialised , but never changed, it will effectively act as a constant throughout the program.

Static variables are used to share a common value across all instances of a class, and can be changed during the program's execution. Literals are used to represent fixed values in code, such as string or numeric literals. Formal parameters are variables used to pass values into a method, and their values can be changed by the method code.

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a. Analytically, the integral evaluates to

\(I = 2x - (1/2)x^2 - (1/5)x^5 + (1/3)x^3 + (1/6)x^6 + C.\)

b. Using the trapezoidal rule, I = 0.3.

c. Using the composite trapezoidal rule with n = 2, I = 0.425. With n = 4, I = 0.353125.

d. Using Simpson's 1/3 rule, I = 0.33125.

e. Using Simpson's 3/8 rule, I = 0.34825.

f. The true percent relative error can be calculated based on the result from part a.

g. MATLAB calculations can be used to support the results and compare the different numerical methods.

a. To evaluate the integral analytically, we integrate term by term, and add the constant of integration, denoted as C.

b. The trapezoidal rule approximates the integral using trapezoids. For a single application, we evaluate the function at the endpoints of the interval and use the formula I = (b-a) * (f(a) + f(b)) / 2.

c. The composite trapezoidal rule divides the interval into smaller subintervals and applies the trapezoidal rule to each subinterval.

With n = 2, we have two subintervals, and with n = 4, we have four subintervals.

d. Simpson's 1/3 rule approximates the integral using quadratic interpolations. We evaluate the function at three equally spaced points within the interval and use the formula

I = (b-a) * (f(a) + 4f((a+b)/2) + f(b)) / 6.

e. Simpson's 3/8 rule approximates the integral using cubic interpolations. We evaluate the function at four equally spaced points within the interval and use the formula

I = (b-a) * (f(a) + 3f((2a+b)/3) + 3f((a+2b)/3) + f(b)) / 8.

f. The true percent relative error can be calculated by comparing the result obtained analytically with the result obtained numerically, using the formula: (|I_analytical - I_numerical| / |I_analytical|) * 100%.

g. MATLAB calculations can be performed to evaluate the integral using the different numerical methods and compare the results. The calculations will involve numerical approximations based on the given function and the specified methods.

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The equation represents a linear function because it has an independent and a dependent variable, each with an exponent of 1.

What is linear equation?

Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable.

Given, the equation y = 2x -4

Which is linear function and have y a dependent variable and x be the independent variable,

because value of y depends upon the value of x.

Hence, a is the correct answer.

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Answer: A

Step-by-step explanation: Trust me

The number of times the two cubes to land on the same number is 100 times

From the question, we have the following parameters that can be used in our computation:

Rolling of two number cubes

In the rolling of two number cubes, the probability of landing on the same number is

P(Same) = 6/36

When simplified, we have

P(Same) = 1/6

In 600 rolls, the expected value is

Expected = 1/6 * 600

Evaluate

Expected = 100

Hence, the number of times the two cubes to land on the same number is 100

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Answer:

Keisha paid $7.0805

Step-by-step explanation:

First of all, you already know that 1 pound equals $5.95. Secondly, you have to solve 5.95 divided by 10, which is 0.595. However, the question is asking for 0.2 pounds! Therefore, 0.595 * 2 = 1.19.

But we're not done yet! We still have to find the amount of money in all. 5.95 * 1.19 = 7.0805 The sum of money in all is $7.0805

Hope this helps!

Answer:

multiply

Step-by-step explanation:

pounds times $ per pound gives an answer in $$

Logic tells you if she buys more than a pound she will pay more total than the one pound price, so 1.2 x 5.95 = $7.14

In dollar problems, some teachers will mark points off if you don't round to the nearest cent because we don't use anything smaller than a penny.

Answer:

7250.66

Step-by-step explanation:

Answer:

C, D, and E

Step-by-step explanation:

Answer: C, D and E are correct :D

Step-by-step explanation:

Answer:

First one is y=(x+1)^2

Answer:

No solution

Step-by-step explanation:

because I'm a smart man I would know trust me

Answers:

Length = 270 feet

Width = 45 feet

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

Work Shown:

x = width

6x = length, since it is 6 times the width

P = perimeter of rectangle

P = 2*(Length + Width)

P = 2*(6x + x)

P = 2*(7x)

P = 14x

Plug in the given perimeter P = 630 and solve for x.

P = 14x

14x = P

14x = 630

x = 630/14

x = 45

The width is 45 feet.

The length must be 6x = 6*45 = 270 feet.

The required length and width of the lawn is given as Length = 270 feet and Width = 45 feet.

Given that,
A landscaper buried a water line around a rectangular lawn to serve as a supply line for a sprinkler system. The length of the lawn is 6 times its width. If 630 feet of pipe was used to do the job, what is the length and the width of the lawn is to be determined.

Perimeter is the measure of the figure on its circumference.

Here,
let the length be l and the width be w,
According to the question,
l = 6w
and
Perimeter of the lawn = 630
2 [l + w] = 630
2 [6w + w] = 630
14w = 630
w = 45
Now,
l = 45[6] = 270

Thus, the required length and width of the lawn is given as Length = 270 feet and Width = 45 feet.

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Answer:

\( {x}^{3} + {x}^{3} = 2 {x}^{3} \\ thank \: you\)

Step-by-step explanation:

Hey, there!!

Let's look in your question,

Firstly Mr.Ingerson was in Ghana and bought it in 35000 cedi for a djembedrum.

At that time 1 US dollar= 7000 Cedi.

He paid 35000 cedi.

Us dollar for 35000 cedi = 35000/7000 $.

So, he had bought it in $5.

now,

At present,

The value of 1$ is 5.79 cedi.

As he bought it on same value,

5$ is equal to 5.79×5

= 28.95 cedi.

{ here, as it told that it was bought in same value its value is $5 only but, as the value of $ will be changed into 5.79}.

Hope it helps...

The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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Answer:

-5

Step-by-step explanation:

The numbers went from -9t to -8t That means 1t=-5

Answer:

t = -5

Step-by-step explanation:

-9t - 5 = -8t

+-9. +-9

-5 = t

The solution is Option A.

The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the equation for the circle A be represented as

( x - 7 )² + ( y - 1 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )

Let the equation for the circle A be represented as

( x + 8 )² + ( y - 2 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )

So , the translation of circle A to B is given by

( 7 , 1 ) to ( -8 , 2 )

So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up

Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

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The profit function is 35x - 15,000 and the profit earned by the company after selling 20,000 hard drives is $685,000.

What is meant by profit earned by a company?

In accounting, a profit is an income that is given to the owner throughout a successful market-producing process. Profitability, which is the owner's primary interest in the income-formation process of market production, is measured by profit. There are various profit measures that are frequently used.

Profit = Revenue - Cost

where Revenue is the total income generated by doing business and cost is the expenses incurred in the production of goods or services.

Given,

Revenue function R(x)=60x

Cost function C(x)=15000+25x

a) Profit function P(x) = R(x) - C(x)

                                   = 60x - 15,000 - 25x = 35x - 15,000

b) We are asked to find the profit when the company sells 20,000 hard drives.

x = 20000

P(x) = 35 * 20,000 - 15,000 = 685,000

Therefore the profit earned by the company after selling 20,000 hard drives is $685,000.

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Answer:

y = 2x - 2, and y-4 = 2(x-3)

Step-by-step explanation:

Explained on attached graph.

The standard deviation of a set of values can be calculated using the formula:

σ = √((Σ(x - μ)²) / N)

Where: σ is the standard deviation Σ represents the sum x is each value in the set μ is the mean of the set N is the number of values in the set

Given the set of values (13.6, 5.9), we can calculate the standard deviation.

Step 1: Calculate the mean (μ) μ = (13.6 + 5.9) / 2 = 19.5 / 2 = 9.75

Step 2: Calculate the sum of squared differences from the mean Σ(x - μ)² = (13.6 - 9.75)² + (5.9 - 9.75)² = 3.85² + (-3.85)² = 14.8225 + 14.8225 = 29.645

Step 3: Calculate the standard deviation (σ) σ = √(29.645 / 2) ≈ √14.8225 ≈ 3.85

Therefore, the standard deviation of the set (13.6, 5.9) is approximately 3.85 (rounded to three significant figures).

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Answer: answer is 72 you can  get it by either multiplying the height and the base by two and following the formula for area of a triangle or you can divide 36 by two and multiply that by 4

Step-by-step explanation:

Answer:

72 meters

Step-by-step explanation:

Working on 1 triangle at a time

How to find the area of a triangle: Base x Height divided by 2

So: 6 x 6 = 36

36 divided by 2 = 18

Each triangle is 18 meters

18 x 4 triangles = 72 meters

Answer:

\( \frac{8}{x3y} \)

Here you go.Hope this help!!

\(\\ \rm\hookrightarrow \dfrac{8x^4y^3}{x^7y^4}\)

\(\\ \rm\hookrightarrow \dfrac{8x^{4-7}y^{3-4}}{}\)

\(\\ \rm\hookrightarrow 8x^{-3}y^{-1}\)

\(\\ \rm\hookrightarrow \dfrac{8}{x^3y}\)

Answer:

Your Answer is C

Answer:

C. the distributive property

Step-by-step explanation:

took the unit test on edge

The largest number that divides two or more numbers evenly is greatest common divisor (GCD).

The biggest positive number that divides any non-zero integer by two or more is known as the greatest common divisor.

The greatest common divisor is the biggest number that divides two or more numbers proportionally (GCD).

Using the LCM method, the steps to calculate the GCD of (a, b) are as follows:

Find the result of a and b in step 1.

Find a and b's least common multiple (LCM) in step two.

Step 3: Dividing the results of Steps 1 and 2.

Step 4: The value that results from division is the most significant common divisor of (a, b).

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Answer:

$150

Step-by-step explanation:

5+10+30+100+5=150

10

Step-by-step explanation:

The way I look at it I think 10.00 cause it says I had in the beginning k and it says what people gave me and at the end it says what I had as well so I had 5.00 in the beginning and then I had another 5.00 so that makes it 10.00 in all realatly really let me know if I'm right as it's the only thing that makes since with it all..... lol so the answer is 10.00.... so if it would of said how much do I have all together then it would be what my granddaughter said but it didn't. It's a tricky question here and a good one to get people thinking on it haaa haaa

Answer:

vertex: (-2,7)

Focus: (-2, \(\frac{27}{4}\))

Axis of symmetry: x = -2

Directrix: y = \(\frac{29}{4}\)

Step-by-step explanation:

A rectangle with a diagonal of length x is twice as long as it is wide, the area of the rectangle is (B) 2x²/5..

Given that we have a rectangle with a diagonal of length x is twice as long as it is wide.

Let

L = length of rectangle,

W = width of rectangle and

D = length of diagonal = x

Given that the length of diagonal, x is twice as long as it is wide, we have that

L = 2W

Also, since it is rectangle, we have that

D² = L² + W²

D² = (2W)² + W²

D² = 4W² + W²

x² = 5W²

W² = x²/5

W = x/√5

W = x√5/5

since the length of the rectangle, L = 2W, we have that

L = 2W

= 2x√5/5

The area of the rectangle

The area of the rectangle is given by A = LW where

L = length of rectangle and

W = width of rectangle

So, A = LW

= 2x√5/5 × x√5/5

= 2x² × 5/25

= 2x²/5

So, the area of the rectangle is (B) 2x²/5

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For the given geometric progression, the nth term of the given GP is \(A_n=2.3^{n-1}\).

Option (C) is correct.

What is the Geometric Progression?

Geometric Progression (GP) is a type of sequence in mathematics in which each succeeding term is produced by multiplying each preceding term by a fixed number known as a common ratio. This progression is also known as a pattern-following geometric sequence of numbers.

The given sequence is 2, 6, 18, 54

here the first term(a) = 2 and the common ratio(r) = 6/2 =3

Then by using the formula for the nth term of a GP, we get

                               \(A_n=ar^{n-1}\\\\A_n=2.3^{n-1}\)

Hence the nth term of the given GP is \(A_n=2.3^{n-1}\).

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The critical value of a one-tailed t-test with degrees of freedom of 8 and using an alpha level of 0.01 is approximately 2.896.

To find the critical value of a one-tailed t-test with degrees of freedom (df) = 8 and an alpha level of 0.01, follow these steps:

1. Identify the degrees of freedom (df): In this case, df = 8.
2. Determine the alpha level: Here, the alpha level is 0.01.
3. Check a t-distribution table for the critical value corresponding to the given degrees of freedom and alpha level.

Using a t-distribution table, the critical value for a one-tailed t-test with df = 8 and an alpha level of 0.01 is approximately 2.896.

Your answer: The critical value of a one-tailed t-test with degrees of freedom of 8 and using an alpha level of 0.01 is approximately 2.896.

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capacity of bucket to hold water = 6liters or 6000 milliliters

capacity of jug= 500 milliliters

numbers of jug need to use in order to fill the empty bucket= 6000/500

=12 jugs of water

Answer:

12 jugs

Step-by-step explanation:

A unit can be used for measurement and is commonly found in mathematics to describe length, size, etc.

Let's get to know these units.

To convert 6 liters into milliliters, we can use this equation:

Therefore, the empty bucket can hold 6000 milliliters.

To solve for the number of jugs Megan will need, we can use this equation:

Therefore, to fill the bucket, Megan will need 12 jugs.