Estimate
32.3 divided
5.6

After solving this expression into simplest form, we get : \(\frac{-4x^{}+ 9 }{2x(x-2)}\)

So, Option (B) is the correct answer.

How to simplify expression into simplest form ?

To simplify a given fractional expression, first convert any mixed number in the expression to improper fraction before carrying out the operation that is involved in the expression

The steps to solve this expression into simplest form are shown below:

\(=\frac{1}{2x^{2}-4x } -\frac{2}{x}\)

\(=\frac{1}{2x(x-2)}-\frac{2}{x}\)

\(=\frac{1-2[2(x-2)]}{2x(x-2)}\)

\(=\frac{1-4x+8}{2x(x-2)}\)

\(=\frac{-4x + 9}{2x(x-2)}\)

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The answer of the given expression in mixed function is \(5\frac{79}{100}\).

The given expression is \((\frac{1}{5}+\frac{1}{2})^2+\frac{3}{10}+5\).

We have to solve the given expression and also find the answer in mixed fraction.

A mixed fraction is one that is expressed by both its quotient and remainder. An combination of a whole number and a valid fraction is a mixed fraction.

Now simplifying the given expression.

We first simplify the bracket.

Since the denominator of both fraction in the bracket is not same. So we first equal the denominator

\(=(\frac{1}{5}\times\frac{2}{2}+\frac{1}{2}\times\frac{5}{5})^2+\frac{3}{10}+5\)

\(=(\frac{2}{10}+\frac{5}{10})^2+\frac{3}{10}+5\)

Now simplifying.

\(=(\frac{2+5}{10})^2+\frac{3}{10}+5\)

\(=(\frac{7}{10})^2+\frac{3}{10}+5\)

Now writing the square of the number

\(=\frac{49}{100}+\frac{3}{10}+5\)

Now we again equal the denominator

\(=\frac{49}{100}+\frac{3}{10}\times\frac{10}{10}+5\times\frac{100}{100}\)

Simplifying

\(=\frac{49}{100}+\frac{30}{100}+\frac{500}{100}\)

Now taking the factor \(100\) in the denominator

\(=\frac{49+30+500}{100}\)

\(=\frac{579}{100}\)

Now the answer in mixed fraction should be

\(=5\frac{79}{100}\)

Hence, the answer of the given expression in mixed function is \(5\frac{79}{100}\).

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The shape of the sampling distribution of the sample wait times is approximately "normal". According to the Central Limit Theorem, the sampling distribution of the sample mean tends to be approximately normal, regardless of the shape of the underlying population distribution, as long as the sample size is large enough (usually greater than or equal to 30)

It is given that the distribution is right skewed with a mean of 11 minutes and a standard deviation of 4 minutes, we'll consider the "sampling distribution" of the sample wait times of size 49.

The shape of the sampling distribution of the sample wait times can be determined using the Central Limit Theorem, which states that if the sample size (n) is large enough, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the original distribution.

In this case, the sample size is 49, which is considered large enough (n >= 30 is a common rule of thumb). Therefore, the shape of the sampling distribution of the sample wait times is approximately normal, even though the original distribution is right skewed.

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Answer:

What's the problem?

Step-by-step explanation:

Makes NO sense

Answer: \(\frac{20}{24}\)

Multiply each sides of the fraction (numerator/denominator) by 4.

5 x 4 = 20, 6 x 4 = 24

Make a fraction out of 20 and 24.

20/24 = \(\frac{20}{24}\)

Make sure the fraction is correct, by adding.

20 + 24 = 44

Answer = 44

We may build up a proportion and solve for the scale model radius of Neptune using the ratio between the radii of the two planets and the known scale model radius of the Earth. The scale model of Neptune that is produced has a radius of around 9.7 cm.

We may take advantage of the fact that the ratio between the two planets' radii and the ratio between their respective scale model radii is the same. Let's name the Neptune scale model radius "r" Then, we may set up the ratio shown below:

Neptune's radius is equal to the product of Earth's radius and its scale model.

With the provided values, we may simplify and obtain:

24620 km / 6370 km equals 2.5 cm / r

We obtain the following when solving for "r":

r = (24620 km * 2.5 cm) / (6370 km)

r ≈ 9.7 cm

Therefore, a scale model of Neptune would have to be drawn with a radius of approximately 9.7 cm.

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Celine should estimate 3400 tiles in a mosaic.

The total number of tiles in mosaic will be sum of coloured tiles and blank tiles. So, there is a variety in coloured tiles. To calculate this we will perform multiplication.

Number of coloured tiles = Number of different coloured tiles × Number of each different coloured tile

Number of coloured tiles = 7 × 472

Performing multiplication on Right Hand Side of the equation

Number of coloured tiles = 3304

Total number of tiles = 3304 + 96

Performing addition on Right Hand Side of the equation

Total number of tiles = 3400 tiles

The estimate will be 3400 tiles.

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Answer: B quadrant 2 or quadrant 3  

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

9-(-21) = 9+21 = 30

The Jacobi iteration scheme for the matrix problem in part (e) can be described as follows:

1. Start with an initial vector \(\phi ^{(0)} = [1, 1]^T\).

2. For each iteration, calculate the updated values of \(\phi^{(k+1)\) using the formula:

 \(\phi^{(k+1)}_i = (b_i - \sum (A_{ij} * \phi^{(k)}_j)) / A_{ii}, for\ i = 0, 1.\)

3. Repeat the iteration process until convergence is achieved.

The Jacobi iteration scheme is an iterative method used to approximate solutions to linear systems of equations. In this case, it can be applied to solve the matrix problem described in part (e).

The scheme starts with an initial guess for the solution and iteratively updates the solution until convergence is reached.

To calculate each iteration, the scheme uses the formula where the updated value of each element \(\phi_i^{(k+1)\) is determined by subtracting the sum of the products of the matrix elements \(A_{ij\) with the corresponding elements \(\phi_j^{(k)\) in the previous iteration from the right-hand side vector \(b_i\), and then dividing the result by the diagonal element \(A_{ii\).

The spectral radius of the iteration matrix, denoted by ρ, can be calculated by finding the maximum absolute eigenvalue of the matrix.

The convergence of the Jacobi iteration method is determined by the value of the spectral radius.

If ρ is less than 1, the method converges. If ρ is equal to 1, the convergence is uncertain, and if ρ is greater than 1, the method diverges.

By performing one iteration starting with the given initial vector \(\phi^{(0)} = [1, 1]^T\), the updated solution \(\phi^{(1)\) can be obtained.

The error of the initial approximate solution \(\epsilon_0\) can be calculated as the absolute difference between \(\phi^{(0)\) and the exact solution \(\phi^{(e)\).

Similarly, the error of the solution after one iteration \(\epsilon_1\) can be calculated as the absolute difference between \(\phi^{(1)\) and \(\phi^{(e)\).

The convergence of the Jacobi iteration method is closely related to the spectral radius. If the spectral radius is less than 1, the method is more likely to converge quickly.

However, if the spectral radius is close to 1 or greater than 1, the convergence may be slower or the method may not converge at all.

The Jacobi iteration scheme is just one of several iterative methods used to solve linear systems of equations.

Other methods, such as Gauss-Seidel and Successive Overrelaxation (SOR), can also be employed depending on the specific problem and its characteristics.

Convergence analysis and spectral radius calculation play important roles in determining the effectiveness and efficiency of iterative methods.

Understanding these concepts can help identify suitable methods for solving matrix problems and assess their convergence properties.

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Hello.

First, find the cost of 1 orange by dividing 75 by 15:

75÷15=Rs 5

So that's the cost of 1 orange.

Now, multiply that by 12:

5×12=Rs 60

Therefore, the cost of 12 oranges is Rs 60

I hope it helps.

Have a nice day.

\(\boxed{imperturbability}\)

Binary integer variables are variables whose values consist of two values, 0 and 1.

Correct answer will be :- b. Variables with values 0 and 1.

These values are also known as bits, which are represented as 0 and 1 in computers. Binary integer variables are used in computing as a way to represent numbers, characters, and instructions. Binary integer variables are used to represent information in digital systems, because they can be used to represent any value with a single bit.

For example, a single bit can represent a number, letter, or instruction. Binary integer variables are also used in computer programming, as they can be used to represent boolean values, such as true and false. Additionally, they can be used to represent various types of data, such as numbers, characters, and images.

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Answer:

b

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

the output is f(x), and -2 is the only number for the list to be in the f(x) column.

Answer:

-2

Step-by-step explanation:

The column labeled x is the input.

The column labeled f(x) is the output.

Of the numbers in the choices, only -2 is in the output column.

Answer: -2

Quadratic equation of The value is A = -4, B = -5, and C = -2. Quadratic equations are the degree two, one-variable polynomial equations of the form f(x) = ax2 + bx + c = 0, where a, b, c, and an are all greater than or equal to R.

In detail: The following quadratic equation is supplied, and we are to determine the values of a, b, and c.

Knowing this

The following is the format of a general quadratic equation:

where c is the constant term, an is the coefficient of x2, and b is the coefficient of x.

When we compare the generic equation to equation I we obtain

\(0=5x-4x-2\\=-4x+5x-2=2\\ax^{2} +bx+c=0\\a\neq 0\)

where c is the constant term, an is the coefficient of x2, and b is the coefficient of x.

The coefficients of x2, a, and b, as well as the constant term, c, are obtained by comparing the general equation with equation I

Thus, the values are a = -4, b = 5  and  c = -2.

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Corresponding angles: the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal (from Dictionary)

It's basically a line crossed two parallel lines and the angles formed in the same place are called corresponding angles. Also they share the same angle only if the two lines are paralleled.

It can be easily assumed that most information are already given in the question. Based on that information, the answer can be deduced.

rt = [(3/4)r] * (t + 12)

4rt = 3r (t + 12)

4rt = 3rt + 36r

4rt - 3rt = 36r

rt = 36r

t = 36

From the above deduction, we can conclude that the time taken by Carmen to ride to the market is 36 minutes

Then

Time taken by Carmen to ride home = 36 + 12 = 48 minutes

Answer:

the answer is D on edge!

Step-by-step explanation:

The player's batting average is 0.333.

The baseball player's batting average is found by dividing the number of hits by the number of times at bat. This number is then rounded to the nearest thousandth.

The question states that Cole Becker was at bat nine times with three hits.

To determine the player's batting average, divide the number of hits by the number of times at bat. A calculator can be used to compute this, and the result can be rounded to the nearest thousandth.

Batting Average = Number of hits/Number of times at bat

Batting Average = 3/9

Batting Average = 0.33333333...

Rounded to the nearest thousandth, the player's batting average is 0.333.

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Answer:

The above question answer is (a) leading coefficient is positive and degree is odd.

Hope it is right answer for it!!

Therefore ,the data they employ includes Second Party Data as a result, which is the solution to the given challenge of plotting data.

The most typical method of utilizing a chart to convey data is to graph the correlation of two additional variables. Diagrams created by hand or using a computer are also acceptable. From the origin, go three up, then 2 pieces to the right. On the reference system, it is important to display the digits for positions 2, 3, and 4. Be really explicit with your points. The pinkish squiggle with the letter P represents the value of 2.3. You must first generate a number line for each number in a collection of data to be able to create a chart.

Here,

Given :

Data gathered from hospitals is frequently used by institutions like the US Center of Disease Control (cdc).

In order to determine what data they use,

From the information provided, it is clear that they are using second-party data.

Therefore ,the data they employ includes Second Party Data as a result, which is the solution to the given challenge of charting the data.

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Answer:

Perpendicular

The house would have slid 910 yards in 15 days.

A geometric progression is a sequence in which successive terms differ by a common ratio.

It is a sequence in which the ratio of two consecutive terms is a constant.

Analysis:

first term, a= 1

second term, ar = 2

third term, ar^2= 4

common ratio = ar/a = 2/1 = 2

Sum of the G.P where n = 15

sum of G.p = a(\(\frac{r^{n} - 1}{r-1}\))

= 1(\(2^{15}\) - 1)/2 - 1 = 32768 - 1 = 32768 inches

converting the inches to yard, where 1 yard = 36 inches

so 32768/36 = 910 yards

In conclusion, the house would slide 910 yards in  15 days.

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The first offer is better from the perspective of a customer but the second one is better from the perspective of a seller.

Here we have different 2 cases, and to find the answer we have to follow a few steps.

First of all, we should simplify these two cases and will try to give them a proper equation format.

Let's assume the price of each yogurt is $x.

Therefore the total price of 2 pots is (2× x) = $2x.

But the condition is if we buy 2 pots, get the 3rd one for free. So, we can purchase a total of 3 pots at the same cost.

∵ If 3 pots cost $2x, then the average cost for each pot is 2x/3 =$0.67x

( average value of each unit = Total value / total unit )

In the second case, if we buy 1 pot we can get the second one at half price.

Therefore, the total price of two pots is, ( x + 0.5x ) = $1.50x

∵ If 2 pots cost $1.50x, then the average cost for each pot is 1.50x/2 = $0.75x

( average value of each unit = Total value / total unit ).

The price of yogurt per pot in the first case <  The price of yogurt per pot in the second case.

As $0.67 <  $0.75.

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Answer:

1920 pounds

Step-by-step explanation:

2560 divided by 24 = 640

640 x 3 = 1920

The speed of 213.25 mph  is the red car actually traveling along the road.

What is speed?

The definition of speed is the pace of movement of an object (covering a particular distance). It defines only the magnitude and not the direction, making it a scalar quantity.

The meter per second (m/s) unit of speed is taken from the SI.

let distance between the police and red cars = h

distance from the red car to a point horizontal to the police car = a

distance from from the road to the police car = b

=>\(h^2=a^2+b^2\)

take the derivative with respect to time

=>hh' = aa' + bb' b'=0

=>174.64(75) = 90a'

=>a' = 174.64(75)/90 = 145.4ft/sec

=>145.4ft/sec = 145.4(5280)/60^2 = about 213.25 mph

Here ,1 mile = 5280 feet

=>1 hour = 60 minutes x 60 seconds = 3600 seconds

=>1 mile per hour = 5280 feet per 3600 seconds

=>1 foot per second = 5280/3600 mph = 1.4666...mph

=>145.4x 1.4666... = 213.25 mph

Hence 213.25 mph speed  is the red car actually traveling along the road.

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Answer:

12.5ft

Step-by-step explanation:

Set up a ratio of \(\frac{1}{1.25}\)×\(\frac{10}{x}\) and cross multiply. So 10 multiplied by 1.25 equals 12.5 and then you divide by 1 so the answer is 12.5ft.

Answer:

I think its 70.4 I already answerd this

Step-by-step explanation:

Answer:

f = - \(\frac{19}{7}\)

Step-by-step explanation:

Given f varies directly with m then the equation relating them is

f = km ← k is the constant of variation

To find k use the condition f = - 19 when m = 14, thus

- 19 = 14k ( divide both sides by 14 )

- \(\frac{19}{14}\) = k

f = - \(\frac{19}{14}\) m ← equation of variation

When m = 2, then

f = - \(\frac{19}{14}\) × 2 = - \(\frac{19}{7}\)