Xander writes math textbooks that sell x dollars each. he received a bonus of $25,000 for signing a contract, and he receives 8% commission on each book sale. express the total amount of income xander earns from selling y books algebraically

Answer:

∠ ADC = 113° , ∠ ABC = 85°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , then

∠ ADC + ∠ ACD + ∠ CAD = 180° , that is

∠ ADC + 39° + 28° = 180°

∠ ADC + 67° = 180° ( subtract 67°  from both sides )

∠ ADC = 113°

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

DA is an angle bisector of ∠ BAC , then

∠ BAD = ∠ CAD = 28° , then ∠ BAC = 56° , then

∠ ABC + ∠ BAC + ∠ ACB = 180° , that is

∠ ABC + 56° + 39° = 180°

∠ ABC + 95° = 180° ( subtract 95° from both sides )

∠ ABC = 85°

Answer:

A vertical shift is when the graph literally moves vertically, up or down. The movement is all based on what happens to the y-value of the graph. The y-axis of a coordinate plane is the vertical axis. When a function shifts vertically, the y-value changes.

Step-by-step explanation:

Answer:

What do you need help on there’s nothing??

Answer:

1.09 seconds

Step-by-step explanation:

I need the image that I am going to attach to solve the exercise.

We have the following information:

Confetti height from the ground is 25 feet

Person's height is 6 feet

So, the distance that the confetti would fall would be the subtraction of these heights, that is:

25-6 = 19 feet

d = 19 feet

We use the 5th equation of the attached image:

t = d ^ (1/2) / 4

replacing:

t = 19 ^ (1/2) / 4

t = 1.09 seconds

Yes, It is necessary to rename 4(1/4) to 3(2/4) when 3/4 is subtracted with 4(1/4).

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4(1/4) - 3/4

= 17/4 - 3/4

= (17 - 3) / 4

= 14 / 4

= 3(2/4) or 3(1/2)

Thus,

We can rename 4(1/4) to 3(2/4).

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The complete question:

Explain Why It Is Necessary To Rename 4 1/4 If You Subtract 3/4 From It?

Answer:

10.2%

Step-by-step explanation:

Prediction of the broadcaster = 88 points

Actual score scored = 98points

% error = actual score-predicted score/actual score × 100℅

Substitute the given scores into the formula;

%error = 98-88/98 × 100

%error = 10/98 × 100

%error = 1000/98

%error = 10.2%

Hence the broadcaster percentage error is approximately 10.2%

Step-by-step explanation:

Stephanie has spent $150

she has saved $90

and owes her brother$40

Initial-value problem is \(X(t) = 2e^{(3t)(-2; 1)} - e^{(5t)(4; 1)}\).

To solve the given initial-value problem with the matrix differential equation X' = (2 4; -1 6)X and the initial condition X(0) = (-1; 6), we can use the matrix exponential method.

The first step is to find the eigenvalues and eigenvectors of the matrix. The eigenvalues λ can be obtained by solving the characteristic equation |A - λI| = 0, where A is the given matrix and I is the identity matrix. Solving this equation gives us the eigenvalues λ = 3 and λ = 5.

Next, we find the corresponding eigenvectors by solving the system (A - λI)X = 0 for each eigenvalue. For λ = 3, we have the eigenvector X1 = (-2; 1), and for λ = 5, we have the eigenvector X2 = (4; 1).

The general solution to the matrix differential equation is

\(X(t) = C1e^{(\lambda1t)}X1 + C2e^{(\lambda2t)}X2\),  where C1 and C2 are constants.

Using the initial condition X(0) = (-1; 6), we can substitute t = 0 into the general solution to find the values of C1 and C2. This gives us the equation (-1; 6) = C1X1 + C2X2. Solving this system of equations yields C1 = 2 and C2 = -1.

Finally, substituting the values of C1, C2, λ1, λ2, X1, and X2 into the general solution, we obtain the specific solution

\(X(t) = 2e^{(3t)(-2; 1) }- e^{(5t)(4; 1)}\).

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The segment margin is obtained by deducting the traceable fixed costs of a segment from the segment's contribution margin is the correct answer.

In this question,

Segment margin is the amount of net profit or net loss generated by a portion of a business. Segment margin is the margin available after a segment has covered all of its costs. It’s one of the best ways to determine the long-term profitability of a segment.

i.e., Segment Margin = Segment’s Contribution Margin – Fixed Costs traced to the Segment

Contribution margin ratio is commonly expressed as a percentage of sales prices. Contribution margin is the amount remaining from sales revenue once all variable costs have been removed.

i.e., Contribution Margin = Sales Revenue – Variable Costs

Hence we can conclude that the segment margin is obtained by deducting the traceable fixed costs of a segment from the segment's contribution margin is the correct answer.

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The volume of the Illustrated cone used as an example is 51.3cm³.

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.

A cone is a recognizable three-dimensional geometric shape with a flat and curved surface that is pointed upward. The formula for the volume of a cone is V=1/3hπr²

Let's say the radius is 7cm. The volume will be:

= 1/3 × 3.14 × 7²

= 51.3cm³

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Using differentials, we can approximate the value of the expression by considering a small change in the input and estimating the corresponding change in the output.

Let's denote the expression as f(x) = sqrt(x), where x = 24.6. We want to find an approximation for f(x + Δx) - f(x) when Δx is small.

Taking the differential of f(x), we have df = f'(x) dx, where f'(x) is the derivative of f(x) with respect to x. In this case, f'(x) = 1 / (2 * sqrt(x)).

Now, we can estimate the change in f(x) by multiplying the derivative with the change in x, i.e., Δf ≈ f'(x) Δx. Plugging in the values, we have Δf ≈ (1 / (2 * sqrt(24.6))) * Δx.

To find the approximation of f(x + Δx) - f(x), we can use the fact that Δf ≈ f(x + Δx) - f(x). Therefore, f(x + Δx) - f(x) ≈ (1 / (2 * sqrt(24.6))) * Δx.

Comparing this approximation with the result obtained using a calculator for sqrt(24.6), we can evaluate the accuracy of the differential approximation.

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Answer:

Step-by-step explanation:

4x = 3yz^2

4x/3y = z^2

To undo an exponent you root it.

\(\sqrt{4x/3y} = z\)

I believe this is it. you basically just have to divide by the numbers to get z by itself. If you have any questions please comment.

For any triangle created by points u, v, and any point on the line r t other than s, it will be an isosceles triangle.

Isosceles triangle, in geometry, refers to a triangle that has at least two equal length sides. The isosceles triangle sometimes is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length. The triangle which has at least two sides of equal length includes the equilateral triangle as a special case. An isosceles triangle has two sides that are congruent to each other and the third side which is unequal to the other two sides is called the base of the isosceles triangle. The two angles opposite to the equal sides are congruent to each other. Hence, in the given situation, any triangle created by  u, v, and any point on the line r t other than s, will be an isosceles triangle as the sides UR and UV will always be equal.

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Answer:

x<=-4.73 or -1.66<=   x  <= 1.89 or x>3.5

Step-by-step explanation:

A lot of work ;-;... These answers are shortened versions just so you know like it wasn't exactly -4.73, it was -4.73439122.

Answer:

The last option:  \(3 x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)

Step-by-step explanation:

Main concepts:

Concept 1. Parts of a Radical

Concept 2. Radicals as exponents

Concept 3. Exponent properties

Concept 4. How to simplify a radical

Concept 1. Parts of a Radical

Radicals have a few parts:

If the index isn't shown, it is the default index of "2".  This default index for a radical represents a square root, which is why people sometimes erroneously call the radical symbol a square root even when the index is not 2.

In this situation, the radical's index is 4, and the radicand is 81 x^18 y^6.

Concept 2. Radicals as exponents

For any radical, the entire radical expression can be rewritten equivalently as the radicand raised to the power of the reciprocal of the index of the radical.  In equation form:

\(\sqrt[n]{x} =x^{^{\frac{1}{n}}}\)

So, the original expression can be rewritten as follows:

\(\sqrt[4]{81x^{18}y^{6}}\)

\((81x^{18}y^{6})^{^{\frac{1}{4}}}\)

Concept 3. Exponent properties

There are a number of properties of exponents:

Continuing with our expression, \((81x^{18}y^{6})^{^{\frac{1}{4}}}\), we can apply the "distributive" property since all of the parts are multiplied to each other...

\((81)^{^{\frac{1}{4}}}(x^{18})^{^{\frac{1}{4}}}(y^{6})^{^{\frac{1}{4}}}\)

Applying the "Bases raised to powers, raised again to another power, multiplies powers" rule for the parts with x and y...

\((81)^{^{\frac{1}{4}}}(x^{^{\frac{18}{4}}})(y^{^{\frac{6}{4}}})\)

Reducing those fractions, (both the numerators and denominators have a factor of 2)...

\((81)^{^{\frac{1}{4}}}(x^{^{\frac{9}{2}}})(y^{^{\frac{3}{2}}})\)

Rewriting the exponent of the "81" back as a radical...

\(\sqrt[4]{81} x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)

Concept 4. How to simplify a radical

For any radical with index "n", the result is the number (or expression) that when multiplied together "n" times gives the radicand.

In our case, the index is 4.  So, we're looking for a number that when multiplied together four times, gives a result of 81.

One method of simplifying radicals is to completely factor the radicand into prime factors, and forms groups (each containing an "n" number of matching items).

Note that 81 factors into 9*9, which further factors into 3*3*3*3

This is a group of 4 matching items, and since the index of the radical is 4, we have found a group that can be factored out of the radical completely:

\(\sqrt[4]{81} =\sqrt[4]{(3*3*3*3)}=3\)

So, our original expression, simplifies finally to \(3 x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)

This is the last option for the multiple choice.

Answer:

The cube root of the number is between 10 and 11

Step-by-step explanation:

Here, we want to get the numbers where the cube root of 1113 lie

Mathematically, the cube root is 10.36

Now, 10.36 is between 10

and 11

The cube root of 1113 lies between the whole number 10 and 11.

Whole numbers are basically counting numbers and zero. Whole numbers do not have any fractions or decimals. Examples include 0, 1, 2, 3,.....etc.

The cube root of a number is a value that, when used in a multiplication three times, gives that number.

Therefore, let's find the cube root of 1113

Recall whole number has no decimal. Therefore, the cube root of 1113 lies between the whole number 10 and 11.

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Answer:

3.5/100*8=.28

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

The correct option is for the value of c,  such that f(c) is the average value of the function on the interval [0, 2], is D.

The average value of a function on an interval [a, b] is given by:

R = (f(b) - f(a))/(b - a)

Here the interval is [0, 2], then:

f(2) = √(2 + 2) = 2

f(0) = √(0 + 2) = √2

Then here we need to solve the equation:

√(c + 2) = (f(2) - f(0))/(2 - 0)

√(c + 2) = (2 + √2)/2

Solving this for c, we will get:

c = [ (2 + √2)/2]² - 2

c = 0.9

Them tjhe correct option is D.

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Answer:

the answer to your question is $25.81

The speaking turn, the adjacency pair, and the sequential implicativeness are the three fundamental components of conversation that conversation analysts identify.

The three essential elements of conversation that conversation analysts identify are the speaking turn, the adjacency pair, and the sequential implicativeness.

Mary: Hello! Mary is my name.

Andrew: Hey Mary I'm Andrew, and how are you? Nice to meet you.

Mary: Thank you; I just arrived from Memphis; I'm OK. , From where do you hail?

Andrew: You are a Memphis native? I'm a Cleveland native; is this also your first day of classes?

Mary: Indeed! I recently met someone from Cleveland at the front desk, and I'm a freshman.

Andrew: Really...? I don't know many Clevelanders who come here.

Clarissa is there, Mary, there she is! Let me introduce you to my pal, please come over!

Clarissa was undoubtedly a student of mine in high school, Andrew

Oh, Clarissa Hello Andrew Hey Mary Are you prepared for the semester to begin?

Mary: Obviously!

Andrew: I can't even find my dorm room, so not really.

The complete question is:

Write a conversation between two students who are meeting for the first time. Have them greet each other, ask each other how they are doing, ask each other where they are from, introduce a third person and say goodbye.

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The unit rate of the shirt is $1.50 per shirt.

Unit rate is a measure of the relationship between two quantities, where the second quantity is expressed as a unit of one. It is often expressed as a ratio, with the unit of the second quantity being 1. Unit rate helps us compare different quantities and make sense of their relative sizes.

The unit rate for the shirts can be calculated by dividing the total cost by the number of shirts. In this case, the unit rate would be:

$6.00 ÷ 4 shirts = $1.50/shirt

So, the unit rate for the shirts is $1.50 per shirt.

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In the present situation, the equation that best suits the sinusoidal function is given as:

(C) y = -12cos(1/12x)+ 12.

What is the meaning of a sinusoidal function?

A sinusoidal function is a function which oscillates smoothly, on a periodic basis, between high and low values. It is a sine-based function. Such a type of function is known as a sinusoidal function.

The cosine function, on the other hand, is just a horizontal shift of the sine function, can be used as a foundation for the sinusoidal functions.

A  mathematical curve also called as the sine wave, a sinusoidal wave or simply a sinusoid, can be described in terms of sine-trigonometric function, whose graph it is. It is a particularly a continuous wave or a smooth periodic function.

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The sum of all the elements present in the first six rows of the Pascal's triangle is equal to 63.

Pascal's triangle elements are represented by :

                                                     1

                                             1                1

                                   1                2                 1

                           1              3                 3             1

                      1           4                 6              4             1

               1            5            10               10             5            1

Sum of all the elements of first six rows are:

First row : 1

Second row : 1 + 1 = 2

Third row : 1 + 2 + 1 = 4

Fourth row : 1 + 3 + 3 + 1 = 8

Fifth row : 1 + 4 + 6 + 4 + 1 = 16

Sixth row : 1 + 5 + 10 + 10 + 5 + 1 = 32

Sum of all the six row elements = 1 + 2 + 4 + 8 + 16 + 32

                                                    = 63

Therefore, the sum of all the elements of the first six row of Pascal's triangle is equal to 63.

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Answer:

I would but its confusing

Answer:

The discount is $77, and the discount percent is 5%

Step-by-step explanation:

Discount: $1,540 - $1,463 = $77

Discount percent: $1,463 / $1,540 = 0.95, 1.00 - 0.95 = 0.05, 0.05 = 5%

Answer:

t = 20

Step-by-step explanation:

add 3 to both sides to isolate t:

t = 17 + 3

t = 20

Answer: t= 20

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Rate (r) = 8% =. 0.08

Period (t) = 25 years

Yearly withdrawal = cashflow = P= $30,000

Using the present value formula (PV) :

Present Value (PV) = P[(1 - (1 + r)^-n) / r]

PV = 30000((1 - (1 + 0.08)^-25) / 0.08)

PV = $320,243.29

B.) Total amount pulled out :

Yearly withdrawal * number of years

$25000 * 25 = 625,000

C.)

Interest :

$625000 - $320,243.29 = $304,756.71

Answer:

Because of the options you have, I believe it is GJ

Step-by-step explanation:

Hope that helps!

The statement (3) The probability of occurrence in a given unit of time has a fixed number of trials is not true about the Poisson distribution.

In the Poisson distribution, the number of trials is not fixed, and each event in the Poisson distribution is considered a trial. The Poisson distribution is a type of discrete probability distribution that is used to calculate the probability of a certain number of events occurring in a specified interval of time or space. It is often used to model situations where the number of occurrences is rare but the average occurrence rate is known. The Poisson distribution is described by a single parameter, λ (lambda), which is equal to the expected number of occurrences in the specified interval. The Poisson distribution can also be used to calculate the probability of a certain number of events occurring over a given area, volume, or any other unit of measurement. This makes it a versatile tool in many different fields, including physics, biology, and finance. It is worth noting that the Poisson distribution assumes that the events are independent of each other, meaning that the occurrence of one event does not affect the probability of the occurrence of another event.

In conclusion, the statement (3) The probability of occurrence in a given unit of time has a fixed number of trials is not true about the Poisson distribution. The number of trials is not fixed, and each event in the Poisson distribution is considered a trial.

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