Plz guys I need your help

The single equivalent discount rate for Company A is 19.28%, and for Company B is 23.18%.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\(\dfrac{a}{100} \times b\)

We are given;

The measures of company A and B= 8/10/14/4 10/6/16/3

Now,

To calculate the single equivalent discount rate for each company, we can use the following formula:

Single equivalent discount rate = [(1 - (Discount % / 100)) ^ (365 / Average payment period) - 1] x 100

For Company A, the average payment period is:

(8 + 10 + 14 + 4) / 4 = 9

Using the formula, we can calculate the single equivalent discount rate for Company A:

Single equivalent discount rate = [(1 - (8/100)) ^ (365 / 9) - 1] x 100 = 19.28%

For Company B, the average payment period is:

(10 + 6 + 16 + 3) / 4 = 8.75

Using the formula, we can calculate the single equivalent discount rate for Company B:

Single equivalent discount rate = [(1 - (10/100)) ^ (365 / 8.75) - 1] x 100 = 23.18%

Therefore, by percentage the answer will be 19.28% and 23.18%.

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The value of the standard deviation does not change and remains the same.

Given, a retired statistic professor has recorded final exam results for decades. the mean final exam score for the population of a student is 82.4 with a standard deviation of 6.5.

The mean μ = 82.4

The standard deviation σ = √[ ((x - μ)2 + (y - μ)2 + (z - μ)2)/3 ]

we have to find the variance,

We now add a constant k to each data value and calculate the new mean μ'.

μ' = ((x + k) + (y + k) + (z + k)) / 3 = (x + y + z) / 3 + 3k/3 = μ + k

We now calculate the new mean standard deviation σ'.

σ' = √[ ((x + k - μ')2 +(y + k - μ')2+(z + k - μ')2)/3 ]

Note that x + k - μ' = x + k - μ - k = x - μ

also y + k - μ' = y + k - μ - k = y - μ and z + k - μ' = z + k - μ - k = z - μ

Therefore σ' = √[ ((x - μ)2 +(y - μ)2+(z - μ)2)/3 ] = σ

If we add the same constant k to all data values included in a data set, we obtain a new data set whose mean is the mean of the original data set PLUS k. The standard deviation does not change.

Hence, the standard deviation does not change.

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To prove that (secx+tanx)² = (cscx+1)/(cscx-1), we will start with the left-hand side (LHS) of the equation and simplify it step by step until it matches the right-hand side (RHS) of the equation.

LHS: (secx+tanx)²

Using the trigonometric identities secx = 1/cosx and tanx = sinx/cosx, we can rewrite the LHS as:

LHS: (1/cosx + sinx/cosx)²

Now, let's find a common denominator and simplify:

LHS: [(1+sinx)/cosx]²

Expanding the squared term, we get:

LHS: (1+sinx)² / cos²x

Next, we will simplify the denominator:

LHS: (1+sinx)² / (1 - sin²x)

Using the Pythagorean identity sin²x + cos²x = 1, we can replace 1 - sin²x with cos²x:

LHS: (1+sinx)² / cos²x

Now, let's simplify the numerator by expanding it:

LHS: (1+2sinx+sin²x) / cos²x

Next, we will simplify the denominator by using the reciprocal identity cos²x = 1/sin²x:

LHS: (1+2sinx+sin²x) / (1/sin²x)

Now, let's simplify further by multiplying the numerator and denominator by sin²x:

LHS: sin²x(1+2sinx+sin²x) / 1

Expanding the numerator, we get:

LHS: (sin²x + 2sin³x + sin⁴x) / 1

Now, let's simplify the numerator by factoring out sin²x:

LHS: sin²x(1 + 2sinx + sin²x) / 1

Using the fact that sin²x = 1 - cos²x, we can rewrite the numerator:

LHS: sin²x(1 + 2sinx + (1-cos²x)) / 1

Simplifying further, we get:

LHS: sin²x(2sinx + 2 - cos²x) / 1

Using the fact that cos²x = 1 - sin²x, we can rewrite the numerator again:

LHS: sin²x(2sinx + 2 - (1-sin²x)) / 1

Simplifying the numerator, we have:

LHS: sin²x(2sinx + 1 + sin²x) / 1

Now, let's simplify the numerator by expanding it:

LHS: (2sin³x + sin²x + sin²x) / 1

LHS: 2sin³x + 2sin²x / 1

Finally, combining like terms, we get:

LHS: 2sin²x(sin x + 1) / 1

Now, let's simplify the RHS of the equation and see if it matches the LHS:

RHS: (cscx+1) / (cscx-1)

Using the reciprocal identity cscx = 1/sinx, we can rewrite the RHS:

RHS: (1/sinx + 1) / (1/sinx - 1)

Multiplying the numerator and denominator by sinx to simplify, we get:

RHS: (1 + sinx) / (1 - sinx)

Now, we can see that the LHS and RHS are equal:

LHS: 2sin²x(sin x + 1) / 1

RHS: (1 + sinx) / (1 - sinx)

Therefore, we have proven that (secx+tanx)² = (cscx+1)/(cscx-1).

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The additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria is

EJ ≅ GJ. Option A

We need to know the properties of a parallelogram, we have;

We know that FJ  ≅ JH, it's given by the marks, now if it were to happen that EJ ≅ GJ, that would mean that the diagonals on that quadrilateral are bisecting each other, and if that's so, then the quadrilateral it's indeed a parallelogram.

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The complete question:

What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?

A)

ej ≅ gj

B)

ej || gj

C)

fg || eh

D)

ef ≅ hg

Answer:

Step-by-step explanation:

a. No, these are not mutually exclusive events because it is possible for a male student at Riverdale High School to be a member of the football team.

Using the Multiplication Rule, we can find the probability of at least one successful surgery out of three surgeries as follows:

P(at least one successful surgery) = 1 - P(no successful surgeries)

To find the probability of no successful surgeries, we use the complement rule and multiply the probabilities of three unsuccessful surgeries:

P(no successful surgeries) = 0.225 x 0.225 x 0.225 = 0.011390625

Therefore, the probability of at least one successful surgery out of three surgeries is:

P(at least one successful surgery) = 1 - 0.011390625 = 0.988609375

So, the answer is d. 0.989 (rounded to three decimal places).

The solution by substituting 15 for b in the Original equation. The answer is true.

The steps needed to solve the equation b + 6 = 21 are:

Subtract 6 from both sides of the equation: b + 6 - 6 = 21 - 6, which simplifies to b = 15.

Check the solution by substituting 15 for b in the original equation: 15 + 6 = 21, which is true.

Therefore, the correct steps to solve the equation are:

Subtract 6 from both sides of the equation. The answer is b = 15

the solution by substituting 15 for b in the original equation. The answer is true.

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hello there i think it's letter B

Examples include but not limited to: 2, 3, 5

Answer: All Irrational numbers are numbers that cannot be expressed as the ratio of two whole numbers.

Step-by-step explanation: AN examples is The number pi and square roots of non-perfect squares are examples of irrational numbers.

Answer:

Step-by-step explanation:

Answer:

A^n = [4^n 4^n

0 1]

Step-by-step explanation:

To find the solution for the 2x2 matrix A:

[4 4

0 1] to the nth power = [ ]

We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:

A^1 = [4 4

0 1]

Now, let's solve for A^2 by multiplying A^1 by A:

A^2 = A x A^1

= [4 4 [4 4

0 1] 0 1]

= [16 16

0 1]

Next, let's solve for A^3:

A^3 = A x A^2

= [4 4 [16 16

0 1] 0 1]

= [64 64

0 1]

We can see a pattern emerging:

   A^1 = [4 4

   0 1]

   A^2 = [16 16

   0 1]

   A^3 = [64 64

   0 1]

We can generalize this pattern as follows:

A^n = [4^n 4^n

0 1]

Therefore, the solution for the 2x2 matrix A raised to the nth power is:

A^n = [4^n 4^n

0 1]

Answer:

96

Step-by-step explanation:

4 x 2 x 3 x 4

8 x 12

96

1

Step-by-step explanation:

always it is right answer

Answer:

sometimes

Step-by-step explanation:

integers can be whole numbers, but whole numbers can only be positive while integers can be positive or negative, so the answer is sometimes. hope this helps

To find a particular solution of the non-homogeneous equation and the general solution of the equation, we can use the method of variation of parameters.

First, let's find the Wronskian of the homogeneous solutions y1(x) and y2(x):

W(y1, y2) = | y1 y2 |

| y1' y2' |

We have y1(x) = sin(x) / √x and y2(x) = cos(x) / √x. Differentiating these functions, we get:

y1'(x) = (cos(x) / √x - sin(x) / (2√x^3))

y2'(x) = (-sin(x) / √x - cos(x) / (2√x^3))

Substituting these values into the Wronskian:

W(y1, y2) = | sin(x) / √x cos(x) / √x |

| (cos(x) / √x - sin(x) / (2√x^3)) (-sin(x) / √x - cos(x) / (2√x^3)) |

Expanding the determinant:

W(y1, y2) = (sin(x) / √x) * (-sin(x) / √x - cos(x) / (2√x^3)) - (cos(x) / √x) * (cos(x) / √x - sin(x) / (2√x^3))

Simplifying:

W(y1, y2) = -1 / (2√x)

Now, we can find the particular solution using the variation of parameters formula:

y_p(x) = -y1(x) * ∫(y2(x) * g(x)) / W(y1, y2) dx + y2(x) * ∫(y1(x) * g(x)) / W(y1, y2) dx

Here, g(x) = 3x√xsin(x). Substituting the values:

y_p(x) = -((sin(x) / √x) * ∫((3x√xsin(x)) * (-1 / (2√x))) dx + (cos(x) / √x) * ∫((3x√xsin(x)) / (2√x)) dx

Simplifying the integrals:

y_p(x) = -(∫(-3sin^2(x)) dx) + (∫(3xcos(x)sin(x)) dx)

Integrating:

y_p(x) = 3/2 (xsin^2(x) - cos^2(x)) - 3/2 (xcos^2(x) + sin^2(x)) + C

Simplifying:

y_p(x) = 3x(sin^2(x) - cos^2(x)) + C

The general solution of the equation is given by the sum of the homogeneous solutions and the particular solution:

y(x) = C1 * (sin(x) / √x) + C2 * (cos(x) / √x) + 3x(sin^2(x) - cos^2(x)) + C

where C1, C2, and C are arbitrary constants.

Answer:

Step-by-step explanation:

The answer is B

Answer:

here is the answer

Step-by-step explanation:

you may please search it

The equation of the tangent line at (1,1) is given as follows:

y - 1 = -0.25(x - 1).

The curve for this problem is given as follows:

x² - y² = 2x + y + xy - 4.

Applying implicit differentiation, we obtain the slope of the tangent line, as follows:

2x - 2y(dy/dx) = 2 + (dy/dx) + x(dy/dx) + y

(dy/dx)(1 + x + 2y) = 2x - 2 - y

m = (2x - 2 - y)/(1 + x + 2y).

At x = 1 and y = 1, the slope is given as follows:

m = (2 - 2 - 1)/(1 + 1 + 2)

m = -0.25.

Hence the point-slope equation is given as follows:

y - 1 = -0.25(x - 1).

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Answer:

\(\huge\boxed{\sf <x = 24\°}\)

Step-by-step explanation:

∠x and 156° are supplementary i.e. angles on a straight line that add up to 180 degrees.

So,

∠x + 156 = 180

Subtract 156 to both sides

∠x = 180 - 156

∠x = 24°

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

\(\boxed{\sf x=24\°}\)

Step-by-step explanation:

From the given diagram, we can see that ∠BOC and ∠AOB are supplementary angles.

Therefore, \(\sf m=\angle BOC+m\angle AOB=180\°\)

\(\sf m=\angle BOC+m\angle AOB=180\°\)

\(\sf x+156=180\°\)

Subtract 156 from both sides:

\(\sf x+156-156=180-156\)

\(\sf x=24\°\)

__________________________________

The research explores the various factors that may influence the learning choices of first-year undergraduates, such as the family and educational background of the student, their socioeconomic status and the availability of resources, among others.

Factor is a mathematical quantity which is multiplied with another quantity to give a product. Factors can also be defined as the numbers that divide a given number exactly. Factors are used in everyday life to calculate many different types of problems, such as compound interest, speed, distance and time, and more. Factors are also used in statistics and probability to determine the likelihood of certain events occurring.

The paper will also examine the various types of postgraduate courses that are available to undergraduates, including those offered by universities and other institutions, such as professional courses or distance learning programmes.

The research adopts a qualitative approach, and will use semi-structured interviews with first-year undergraduates to gain an understanding of their learning choices, and the factors that influence them. Interviews will be conducted with students in different disciplines, in order to gain an insight into how the different disciplines shape students' learning preferences. The research will also use questionnaires to obtain data on the socioeconomic background, family background and educational background of students.

In addition, the research will use documentary analysis of university prospectuses and websites, and information from other sources, such as employers and professional bodies, to gain an understanding of the various postgraduate courses that are available to undergraduates. This data will be used to compare and contrast the learning choices of undergraduates from different disciplines and economic backgrounds.

Finally, the research will use an interpretive approach to analyse the data collected and develop a theory of the factors that influence the learning choices of first-year undergraduates. The theory will be used to inform the design of initiatives to help undergraduates make informed decisions about their learning choices.

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Answer:

The product of \(2xy\: and\: 3xy+5y-xy^2\) is \(\mathbf{6x^2y^2+10xy^2-2x^2y^3}\)

Option D is correct answer.

Step-by-step explanation:

We need to find Which expression represents the product of \(2xy\: and\: 3xy+5y-xy^2\)

So, we need to multiply both expressions:

\((2xy) ( 3xy+5y-xy^2)\)

We will multiply 2xy with each term inside the bracket

\(=2xy(3xy)+2xy(5y)-2xy(xy^2)\)

The same variables are multiplied and their powers are added i.e. \(a^m.a^n=a^{m+n}\)

The constants are multiplied with the constants.

\(=2(3)x^{1+1}y^{1+1}+2(5)xy^{1+1}-2x^{1+1}y^{1+2}\\=6x^2y^2+10xy^2-2x^2y^3\)

So, the product of \(2xy\: and\: 3xy+5y-xy^2\) is \(\mathbf{6x^2y^2+10xy^2-2x^2y^3}\)

Option D is correct answer.

Answer:

B only

Step-by-step explanation:

Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.

Therefore, only B is correct

The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.

The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.

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Tom's pencil is 3x + 10cm longer  than Ellen's.

What is arithmetic operation?

The addition, subtraction, multiplication, division, exponentiation, and modulus operations are carried out by the arithmetic operators.

For all real numbers, the four fundamental arithmetic operations in mathematics are: Finding the sum in addition ('+') Subtraction (Difference-finding; "-" Multiplication (Identifying the result; "x" Finding the quotient in division (÷).

Given:

Ellen has a pencil 2x+15cm long.

Tom has a pencil 5x+25cm long.

We have to find how much longer is Tom's pencil than Ellen's.

This is calculated as:

Length of Tom's pencil - Length is Ellen's pencil

Length of Tom's pencil: 5x+25cm long.

Length of Ellen's pencil : 2x+15cm long.

= (5x + 25)cm - (2x + 15)cm

= 5x + 25 - 2x - 15

= 5x - 2x + 25 - 15

= 3x + 10 cm

Therefore, Tom's pencil is 3x + 10cm longer  than Ellen's.

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fr

This got me depressed as hell

Recall the conversion rule for inches to yards:

Therefore, we can make the following conversions:

Question A: 188 in. to yd

To convert, divide the number in inches by 36:

Therefore, the answer is:

Question B: 500 yds to in.

To convert, we multiply the number by 36:

Therefore, the answer is:

Question C: 630 ft to yd

To convert, we will divide the number by 3:

Therefore, the answer is:

Question D: 468 in. to ft

To convert, we divide the number by 12:

Therefore, the answer is:

Answer:

88

Step-by-step explanation:

Looks close to a right angle so 88 degrees most likely.

Answer:

b 88

Step-by-step explanation:

Answer:

A sample size of 554 is needed.

Step-by-step explanation:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.95}{2} = 0.025\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.025 = 0.975\), so Z = 1.96.

Now, find the margin of error M as such

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

Standard deviation is known to be $12,000

This means that \(\sigma = 12000\)

What sample size do you need to have a margin of error equal to $1000, with 95% confidence?

This is n for which M = 1000. So

\(M = z\frac{\sigma}{\sqrt{n}}\)

\(1000 = 1.96\frac{12000}{\sqrt{n}}\)

\(1000\sqrt{n} = 1.96*12\)

Dividing both sides by 1000:

\(\sqrt{n} = 1.96*12\)

\((\sqrt{n})^2 = (1.96*12)^2\)

\(n = 553.2\)

Rounding up:

A sample size of 554 is needed.

Answer:

Step-by-step explanation:

The answer is 2.65 x 10^5.

Hope it helped you.

Plz mark me brainliest.

Answer:

-5 and -6

Step-by-step explanation:

xy=30, x+y=-11

\(x = - 11 - y\)

\(( - 11 - y)y = 30\)

\( - y ^{2} - 11y - 30 = 0\)

\(y {}^{2} + 11y + 30 = 0\)

\((y + 5)(y + 6) = 0 \)

\(y = - 5 \: or \: - 6\)

Step-by-step explanation: