What is the sum and classification of StartFraction 3 Over 20 EndFraction + StartRoot 10Which is the decimal expansion of StartFraction 7 Over 22 EndFraction?EndRoot?

Answer:

Width = 44 yards

Length = 171 yards

Step-by-step explanation:

Given:

Perimeter of the rectangular field = 430 yards.

Let:

The length of the field be L

The width of the field be W.

From the question:

The length of the field is 5yards less than quadruple the width. This implies that;

L = 4W - 5

But.

Perimeter (P) of a rectangle is given by:

P = 2(L + W)       ---------------(i)

Substitute the values of P = 430, L = 4W - 5 and W into equation (i) as follows;

430 = 2(4W - 5 + W)

430 = 2(5W - 5)

430 = 10W - 10

10W = 430 + 10

10W = 440

Divide both sides by 10

W = 44

Therefore, the width of the field is 44 yards.

Remember that,

L = 4W - 5          

[Now substitute W = 44]

L = 4(44) - 5

L = 176 - 5

L = 171

Therefore, the length of the field is 171 yards

y =4

your answer will be 4

Answer:

Step-by-step explanation:

The line that is parallel to the line y = 9, and passes through (-2, 4)

Given line is horizontal line, and the parallel line is also horizontal

Since it passes through point with y-coordinate of 4, this is the line:

D. no solution

Because they never found each other, the point they cross on is the solution.

Answer: D

Step-by-step explanation: it just is

Average speed of Usain Bolt is 10.41 m/s.

The distance travelled by an object in relation to the amount of time it takes to travel that distance can be used to define speed. In plainer terms, it is a gauge of how quickly an object moves.

Average speed = (Total distance travelled)/(Total time required)

SI unit of speed is m/s.

Distance Travelled by Usain Bolt = 100m

Time required to travel this distance =  \(9\frac{3}{5}\) = 48 ⁄ (5 sec)

Average speed = (Total distance travelled)/ (Total time required)

Average speed = 100/ (48/5)

                          = 500/48

                          = 10.41 m/s

Therefore, average speed of Usain Bolt is 10.41 m/s.

To know more about speed, visit the link:

https://brainly.com/question/4931057

#SPJ1

There are 8.0658 × \(10^{67}\) more form to shuffle a deck of cards than atoms.

What is the factorial?

Factorial is an important function, which is used to find how many ways things can be arranged or the ordered set of numbers.The factorial of a whole number is the function that multiplies the number by  number below it.

The number of ways to shuffle a deck of cards is astronomically large, far greater than the estimated number of atoms in the observable universe.

A standard deck of 52 playing cards can be arranged in 52 factorial ways, denoted as 52!. This means multiplying all the positive integers from 1 to 52 together:

52! = 52 × 51 × 50 × ... × 3 × 2 × 1=8.0658 × \(10^{67}\).

Therefore,the exact value of 52! is an  large number, approximately equal to 8.0658×\(10^{67}\).

To learn more about the factorial refer here

brainly.com/question/25997932

#SPJ4



Second table represents an exponential function of the form y = b when 0

A mathematical function with the formula f (x) = an x is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, or roughly 2.71828, is the exponential-function base that is most frequently encountered. In addition to many other applications, exponential functions are used to estimate populations, carbon date artefacts, assist coroners in determining the time of death, compute investments, and many more. Three of the most popular applications—population expansion, exponential decay, and compound interest—will be covered in this session.

Given,

Second table represents an exponential function of the form y = b when 0

Function: y = bˣ

To learn more about exponential function, visit:

https://brainly.com/question/26540624

#SPJ1

\( \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star\)

\(\textsf{ \underline{\underline{Steps to solve the problem} }:}\)

\(\qquad❖ \: \sf \: \angle1 \cong \angle2\)

( by corresponding angle pair )

\(\qquad❖ \: \sf \: \angle2 \cong \angle3\)

( given in the question )

\( \qquad \large \sf {Conclusion} : \)

\(\qquad❖ \: \sf \: \angle1 \cong \angle3\)

Answer:

#7 can be simplified to -10 √15x -40 √5

#8 = -20 √6x +30x√2

#9 = 10x√6+3 √15xx

#10 = -20√6a -15 √2

Step-by-step explanation:

The probability of exactly 6 out of 8 randomly selected adult smartphone users using their smartphones in meetings or classes can be calculated using the binomial probability formula.

The probability of an adult smartphone user using their smartphone in meetings or classes is given as 36% or 0.36. Let's denote this probability as p.

The number of trials is 8 (since we are selecting 8 adult smartphone users).

To find the probability of exactly 6 out of 8 using their smartphones in meetings or classes, we use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k),

where P(X = k) is the probability of getting exactly k successes, n is the number of trials, p is the probability of success, and C(n, k) is the number of combinations.

In this case, we want to find P(X = 6), so we substitute k = 6, n = 8, and p = 0.36 into the formula:

P(X = 6) = C(8, 6) * (0.36)^6 * (1 - 0.36)^(8 - 6).

Calculating the values:

C(8, 6) = 8! / (6! * (8 - 6)!) = 28.

P(X = 6) = 28 * (0.36)^6 * (0.64)^2.

Now, we can calculate the probability:

P(X = 6) ≈ 0.2173.

Therefore, the probability that exactly 6 out of 8 randomly selected adult smartphone users use their smartphones in meetings or classes is approximately 0.2173.

To learn more about probability  Click Here: brainly.com/question/31828911

#SPJ11

Answer:B

Step-by-step explanation: To solve this, we first need to find the ratio of concenrate to water for each mixture. A is 2:3.5, B is 5:8, and C is 0.5:2. Now, we can roughly estimate them. C is .25, B is around .6, and A is around .57. This means that B is the most lemony.

The limit of (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity is 0.

To find the limit of the function (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity, we will divide both the numerator and denominator through the highest power of x. In this case, the highest power of x is x², so we can divide both the numerator & the denominator through x²:

\([(2x-1)/(x^2)] * [(3-x)/((x-1)/(x^2)(x+3))]\)

Now, as x approaches infinity, every of the fractions within the expression procedures zero except for (2x-1)/(x²). This fraction techniques 0 as x procedures infinity because the denominator grows quicker than the numerator. therefore, the limit of the expression as x strategies infinity is:

0 * 0 = 0

Consequently, When x gets closer to infinity, the limit of (2x-1)(3-x)/(x-1)(x+3) is 0.

Learn more about numerator and denominator:-https://brainly.com/question/20712359

#SPJ4

Respuesta:

x = 5.656854249

Explicación paso a paso:

[NOTA: Solo quería disculparme de antemano por cualquier mala gramática, ya que estoy usando un traductor para esto.]

x/Sen30°= 8/Sen45° [Multiplica ambos lados por Sen30°]

x = (8/Sen45°) * Sen30° [Resuelve usando una calculadora]

x = 5.656854249

Answer:

x-2 over x+6

Step-by-step explanation:

correct

The Expression is equal to f(x) . g(x) is (x-2)/ (x+ 6).

A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.

We have Function,

f(x) = (x + 12) / (x² + 4x - 12)

and, g(x) = (4x² - 16x + 16)/ (4x+48)

Now, f(x) . g(x)

= (x + 12) / (x² + 4x - 12) . (4x² - 16x + 16)/ (4x+48)

= (x+ 12) / (x²+ 6x - 2x - 12) . 4 (x² - 4x + 4) / 4(x+ 12)

= ( x + 12) / (x+ 6)(x-2) . (x-2)(x-2) / (x+ 12)

= (x-2)(x-2)/ (x+ 6)(x-2)

=  (x-2)/ (x+ 6)

Learn more about Function here:

https://brainly.com/question/12431044

#SPJ2

Answer:

b . may be

may it helped u ....

Answer:

bag 1 weight minus bag 2 weight

The location of the transformed point will be at the coordinate (0,4).

In mathematics, a translation moves a shape left, right, up, or down but does not turn it. The translated (or picture) shapes appear to be the same size as the original shape, showing that they are congruent. They've just moved in one or more directions.

Given that a point at (−3,−2) is transformed in two steps. It is reflected in y = x. It is translated as 3 units right and 2 units up.

The translated point will be,

(−3,−2) ⇒ (-3,2)

Translation of the point,

(-3,2) ⇒ (-3+3, 2+2) ⇒(0,4)

Therefore, the location of the transformed point will be at the coordinate (0,4).

To know more about translation follow

https://brainly.com/question/12861087

#SPJ1

ans is 4 I don't really know how to explain it

Measure of angle B is 36.87°.

Trigonometric functions are defined as the real functions or the periodic functions which relate an angle in a right angled triangle to the ratios of the length of two sides.

Given is a right angled triangle.

We have to find measure of angle B.

Cosine of an angle in a right angled triangle is equal to the ratio of it's adjacent side to the hypotenuse.

Hypotenuse = AB = 5

Adjacent side to B = CB = 4

Cos B = 4/5

∠B = Cos⁻¹ (4/5)

     = 0.6435 radians

     = 36.87°

Hence the measure of the angle B is 36.87°.

Learn more about Trigonometric Ratios here :

https://brainly.com/question/9932656

#SPJ9

Step-by-step explanation:

2/3  * 150  = 1/2  * ?

   100  =    1/2 * ?       Multiply both sides by 2 to get

    200 = ?

Lisa's percentile rank is approximately 7.857%.

To calculate Lisa's percentile rank, you can use the formula:

Percentile Rank = (Number of scores less than Lisa's score / Total number of scores) * 100

In this case, Lisa's score is 86, and it is the 23rd score from the top in a class of 280 scores. Therefore, the number of scores less than Lisa's score is 23 - 1 = 22 (excluding Lisa's score itself).

Substituting the values into the formula:

Percentile Rank = (22 / 280) * 100 ≈ 7.857%

Lisa's percentile rank is approximately 7.857%.

To know more about number click-
http://brainly.com/question/24644930
#SPJ11

We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.

To solve this problem, we can use the formula for the future value of an annuity:

\(FV = P * ((1 + r)^n - 1) / r\)

Where:

FV is the future value of the annuity

P is the periodic payment or deposit amount

r is the interest rate per period

n is the number of periods

In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).

We can rearrange the formula and solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Substituting the given values:

n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)

Using a calculator or software, we find that n ≈ 9.989.

Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.

To know more about annual rate click here

brainly.com/question/6026546

#SPJ4

Using the standard normal distribution, we find that approximately 73.8% of workers receive wages between $4.75 and $5.69 per hour. Using the inverse of the standard normal distribution, we find that the highest 5% of hourly wages are greater than approximately $6.09.

Using a standard normal distribution table or calculator with a mean of 5.25 and a standard deviation of 0.60, we can find that approximately 79.42% of workers receive wages between $4.75 and $5.69 per hour.

Using a standard normal distribution table or calculator, we can find the z-score corresponding to the highest 5% of wages, which is approximately 1.645.

Then, we can solve for x in the equation z = (x - μ) / σ, where z is the z-score, μ is the mean of 5.25, and σ is the standard deviation of 0.60. This gives us x = zσ + μ, which is approximately $6.09 per hour. Therefore, the highest 5% of hourly wages are greater than $6.09 per hour.

To know more about standard normal distribution:

https://brainly.com/question/29509087

#SPJ4

Answer: The person above me is correct. Here is a picture if you still dont get it..

Step-by-step explanation:

Answer:

350

Step-by-step explanation:

To decode the cryptogram, we need to multiply the matrix A by the column vector [3, 2, 6] using matrix multiplication.

Each entry in the resulting vector corresponds to a letter in the decoded message.

Let's perform the matrix multiplication:

A =

[1 1 3]

[1 1 4]

Column vector: [3, 2, 6]

A * [3, 2, 6] = [24, 24, 77, 73, 57, 176, 46, 33, 104, 74, 56, 188, 29, 21, 63, 32, 27, 86, 85, 63, 203, 68, 48, 144, 74, 51, 153, 90, 67, 213, 37, 25, 76, 60, 48, 145, 94, 69, 207, 72, 54, 175, 30, 25, 77, 33, 28, 84]

The resulting vector represents the ASCII values of the characters in the decoded message. Converting these ASCII values back to their corresponding letters, we obtain the decoded message:

"SEMPTEMBER THE ELEVENTH WILL ALWAYS REMEMBER"

Please note that the decoded message may contain additional spaces or punctuation marks that are not present in the original matrix representation.

To learn more about cryptogram visit;

https://brainly.com/question/30761818

#SPJ11

The maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

maximize: z = c1x1 + c2x2 + ... + cnxn

subject to

a11x1 + a12x2 + ... + a1nxn ≤ b1

a21x1 + a22x2 + ... + a2nxn ≤ b2

am1x1 + am2x2 + ... + amnxn ≤ bmxi ≥ 0 for all i

In our case,

the given LP is:maximize: z = 36x1 + 30x2 - 3x3 - 4x

subject to:

x1 + x2 - x3 ≤ 5

6x1 + 5x2 - x4 ≤ 10

xi ≥ 0 for all i

We can rewrite the constraints as follows:

x1 + x2 - x3 + x5 = 5  (adding slack variable x5)

6x1 + 5x2 - x4 + x6 = 10  (adding slack variable x6)

Now, we introduce the non-negative variables x7, x8, x9, and x10 for the four decision variables:

x1 = x7

x2 = x8

x3 = x9

x4 = x10

The objective function becomes:

z = 36x7 + 30x8 - 3x9 - 4x10

Now we have the problem in standard form as:

maximize: z = 36x7 + 30x8 - 3x9 - 4x10

subject to:

x7 + x8 - x9 + x5 = 5

6x7 + 5x8 - x10 + x6 = 10

xi ≥ 0 for all i

To apply the simplex algorithm, we initialize the simplex tableau as follows:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |   0    |  36    |   30   |   -3   |   -4   |    0    |

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

x5|   0   |   1    |   0    |   1    |   1    |   -1   |   0    |    5    |

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

x6|   0   |   0    |   1    |   6    |   5    |   0    |   -1   |   10    |

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

Now, we can proceed with the simplex algorithm to find the optimal solution. I'll perform the iterations step by step:

Iteration 1:

1. Choose the most negative coefficient in the 'z' row, which is -4.

2. Choose the pivot column as 'x10' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 5/0 = undefined, 10/(-4) = -2.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to

make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |  0.4   |  36    |   30   |   -3   |   0    |   12    |

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

x5|   0   |   1    |  -0.2  |   1    |   1    |   -1   |   0    |   5     |

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

x10|   0  |   0    |   0.2  |   1.2  |   1   |   0    |   1    |   2.5   |

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

Iteration 2:

1. Choose the most negative coefficient in the 'z' row, which is -3.

2. Choose the pivot column as 'x9' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 12/(-3) = -4, 5/(-0.2) = -25, 2.5/0.2 = 12.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |  0.8   |  34    |   30   |   0    |   4    |   0     |

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

x5|   0   |   1    |  -0.4  |   0.6  |   1    |   5   |   -2   |   10    |

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

x9|   0   |   0    |   1    |   6    |   5    |   0   |   -5   |   12.5  |

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

Iteration 3:

No negative coefficients in the 'z' row, so the optimal solution has been reached.The optimal solution is:

z = 0

x1 = x7 = 0

x2 = x8 = 10

x3 = x9 = 0

x4 = x10 = 0

x5 = 10

x6 = 0

Therefore, the maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

Learn more about Simplex Algorithm here:

https://brainly.in/question/46895640

#SPJ11

If C and D are square matrices of size m X m, then Option (C) (2) det(D. Dt) = (det(D))² is the statement that is not true.

The given options pertain to properties of determinants involving square matrices C and D of size m × m. Let's evaluate each option to identify the statement that is not true.

Option (1) states that det(C.D) = det(C) · det(D). This is indeed true. The determinant of a product of matrices is equal to the product of their determinants. Therefore, option (1) is a valid property of determinants.

Option (2) claims that det(D.Dt) = (det(D))². However, this is not correct. The correct property is det(D.Dt) = (det(D))^(m), where m represents the size of the square matrix D. Taking the determinant of the transpose of D does not result in squaring the determinant, but rather raising it to the power of the matrix's dimension.

Option (3) states that det(AdjD) = (det(D))^(m-1). This statement is true. A matrix's adjugate (or adjoint) is obtained by taking the transpose of the cofactor matrix. The determinant of the adjugate matrix is equal to the determinant of the original matrix raised to the power of m-1, where m represents the size of the square matrix D.

Option (4) suggests that det(5C + 4D) = 5det(C) + 4det(D). This is a correct statement. The determinant of a scaled sum of matrices can be computed by scaling the individual determinants. Therefore, the determinant of 5C + 4D is equal to 5 times the determinant of C plus 4 times the determinant of D.

Option (5) claims that det(C^(-1)) = 1/det(C). This statement is also true. The determinant of the inverse of a matrix is the reciprocal of the determinant of the original matrix. In other words, if C^(-1) is the inverse of matrix C, then det(C^(-1)) = 1/det(C).

In summary, the statement that is not true among the given options is option (2) det(D.Dt) = (det(D))². The correct property is det(D.Dt) = (det(D))^(m), where m represents the size of the square matrix D.

Learn more about square matrices  here:-

https://brainly.com/question/26980927

#SPJ11