the manager of a clothing store paid $35 for a shirt. she wants to set the regular price of the shirt so that she can make a $10 profit after she sells the shirt at a 15% discount. what should the regular price of the shirt be? (round your answer to the nearest cent.)

Answer:

Author D write 1/16 of the total number of books.

Step-by-step explanation:

Let the total number of books be b.  Then the amounts written by the four authors would be represented by:

(1/4)A

(5/16)A

(3/8)A

( ? )A

Add these together, realizing that the LCD here is 16:

(4/16)A

(5/16)A

(6/16)A

( ? )  A

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

(15/16)A must then equal the remainder of the work:  (16/16)A

Thus, Author D wrote (1/16)A of the books.  (Note that 4/16 + 5/16 + 6/16 + 1/16 = 1)

Author D write 1/16 of the total number of books.

Two different mathematical models that can be derived from the Fibonacci's rabbits problem are the recursive model and the matrix model.

The recursive model assumes that the rabbits reproduce at a constant rate and that each pair of rabbits needs a month to mature before they can reproduce. The model can be represented by the recursive formula Fn = Fn-1 + Fn-2, where Fn represents the number of rabbits at month n and Fn-1 and Fn-2 represent the number of rabbits at months n-1 and n-2, respectively. This model is based on the assumption that rabbits can breed indefinitely without any constraints, and it only considers the number of rabbits at each month.

The matrix model, on the other hand, assumes that the rabbits reproduce at a constant rate, but it takes into account the constraint of limited resources, such as food and space. This model is represented by a matrix equation of the form [Fn Fn-1] = [Fn-1 Fn-2][1 1; 1 0], where [Fn Fn-1] represents a vector of the number of rabbits at months n and n-1, and [Fn-1 Fn-2] represents the matrix of the number of rabbits at months n-1 and n-2, respectively. This model is based on the assumption that the growth of the rabbit population is limited by the available resources, and it considers the number of rabbits and the resources at each month.

Both models were derived from the same verbal problem of Fibonacci's rabbits, but they made different assumptions about the growth and constraints of the rabbit population. The recursive model assumes that rabbits can breed indefinitely without any constraints, while the matrix model takes into account the constraints of limited resources. These different assumptions resulted in two different mathematical formulations that provide different insights into the growth and constraints of the rabbit population.

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Answer:

33.33%

Step-by-step explanation:

8 out of 24 hours is equivalent to 1/3 which equals to 33.33%

Answer:

8/24 converted to a percentage = 33.333333333333%

Answer:

Step-by-step explanation:

answer for 1 & 2 & 3

The resulting box plot for the given data would show a box ranging from 5.2 to 5.7, with the median at 5.4.

A box plot, also known as a box-and-whisker plot, is a graphical representation of numerical data that displays the distribution of a dataset. It provides a visual summary of the minimum, first quartile, median, third quartile, and maximum values, as well as any outliers that may be present.

To construct a box plot from the given data (diameters of cans in an assembly line: 5.7, 5.6, 5.1, 5.4, 5.2, 5.6, 5.7, 5.3, 5.8, 5.2), follow these steps:

1. Sort the data in ascending order: 5.1, 5.2, 5.2, 5.3, 5.4, 5.6, 5.6, 5.7, 5.7, 5.8.

2. Find the median (middle value) of the dataset, which is 5.4.

3. Determine the first quartile (Q1), which is the median of the lower half of the data. In this case, it is the median of the numbers below 5.4: 5.2.

4. Find the third quartile (Q3), which is the median of the upper half of the data. In this case, it is the median of the numbers above 5.4: 5.7.

5. Calculate the interquartile range (IQR) by subtracting Q1 from Q3: 5.7 - 5.2 = 0.5.

6. Identify any outliers in the dataset. Outliers are values that fall below Q1 - 1.5 * IQR or above Q3 + 1.5 * IQR. In this case, there are no outliers.

7. Construct the box plot using a number line. Draw a box from Q1 to Q3, with a line inside representing the median. Add whiskers (lines) extending from the box to the minimum value (5.1) and the maximum value (5.8).

The resulting box plot for the given data would show a box ranging from 5.2 to 5.7, with the median at 5.4. The whiskers would extend from 5.1 to 5.8. This visual representation provides an overview of the distribution and key statistical measures of the diameters of cans in the assembly line.

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The only common element between B and C is 4, so B ∩ C = {4}.

4 is also already contained in A, so B ∩ C is a subset of A, and thus

A U (B ∩ C) = A = {1, 4, 6, 7}

Answer:

{1, 4, 6, 7}

Step-by-step explanation:

Answer:

False, a transformation is the one that stretches or compresses the graph. A translation just shifts the graph up, down, left, or right.

Answer: False

Step-by-step explanation:

A translation is just moving the graph up, down, left, and right! It doesn't make a graph bigger or smaller, so this is a False

This sequence implies that the first, third, and fifth students wear baseball hats (H), while the remaining two do not wear them (N) NHNHN. C.

To simulate the situation described, we can use the table of random numbers and assign the digits 0-2 to represent wearing a baseball hat (H) and digits 3-9 to represent not wearing a baseball hat (N).

Let's go through each sequence to determine which one matches the given conditions.

NNNNN:

This sequence implies that none of the 20 students wear baseball hats regularly.

The information provided states that only four out of 20 students wear baseball hats regularly, so this sequence is incorrect.

HHNNN:

This sequence implies that the first two students wear baseball hats (H), while the remaining three do not wear them (N).

This contradicts the information that only four out of 20 students wear baseball hats regularly, so this sequence is also incorrect.

NNNHN:

This sequence implies that the first and fifth students wear baseball hats (H), while the remaining three do not wear them (N).

This matches the information given:

four out of 20 students wear baseball hats regularly, so this sequence is a possible outcome.

NHNHN:

This also matches the given information:

four out of 20 students wear baseball hats regularly, so this sequence is a possible outcome.

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The circumstance that the score is located 5 points above the mean a central value, relatively close to the mean is when the population standard deviation is much greater than 5.

Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a “typical” deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.

Here, we have

We have to find under what circumstances is a score that is 5 points above the mean considered a central value--meaning it is relatively close to the mean.

We concluded from the above statement that when the population standard deviation is much greater than 5.

Hence, when the population standard deviation is much greater than 5 then, the score that is 5 points above the mean is considered a central value.

Therefore, the correct option is D.

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Answer:

x= 20

Step-by-step explanation:

The sum of the three angles is 90 degrees

x+2x+x+10 = 90

Combine like terms

4x+10 = 90

Subtract 10

4x+10-10 = 90-10

4x= 80

Divide by 4

4x/4=80/4

x = 20

Answer:

1) \(\sqrt{569}\)  2) 8   3) 0.8  4) \(\sqrt[10]{61}\)

Step-by-step explanation:

The equation for pythagoream theorem is

a^2 + b^2 = c^2  (the caret "^" represents exponents)

A = a side length

B = another side length

C = the hypotnuse which is the slanted side of the right triangle.

To solve these problems plug in the known values into the equation then solve.

A distribution of scores on a driver's license test forms is normally shaped. This is an example of a symmetrical distribution is TRUE.

A symmetrical distribution is a distribution where there is an equal number of data points on both sides of the center point, in which the mean, mode, and median of a data set are all similar.

A normal distribution is a bell-shaped distribution that is symmetrical, with most of the data falling near the mean and progressively less toward the tails. When data are symmetrical, the mean and median values are similar, and the standard deviation can be used to compute the proportions of data within a range of values surrounding the mean.

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Answer: (x+5)(x+2)^2

Step-by-step explanation: Expanding (x+5)(x+4)(x+4) gives:

(x+5)(x+4)(x+4) = x(x+4)(x+4) + 5(x+4)(x+4)

= x^2(x+4) + 4x(x+4) + 5x(x+4) + 20(x+4)

= x^3 + 4x^2 + 5x^2 + 20x + 16x^2 + 80x + 20x + 80

= x^3 + 9x^2 + 45x + 80

Fully simplifying this expression gives:

x^3 + 9x^2 + 45x + 80 = (x+5)(x^2+4x+16)

= (x+5)(x+2)^2

This is the equation of the solution to the given differential equation through the point (1, 2).

To find the equation of the solution to the differential equation dy/dx = x^6y through the point (x, y) = (1, 2), we can use the method of separation of variables.

First, we separate the variables by writing the equation as:

dy/y = x^6 dx

Next, we integrate both sides of the equation with respect to their respective variables:

∫(dy/y) = ∫(x^6 dx)

Integrating, we have:

ln|y| = (1/7)x^7 + C1

where C1 is the constant of integration.

To find the specific solution, we can use the given point (x, y) = (1, 2). Plugging these values into the equation, we have:

ln|2| = (1/7)(1^7) + C1

ln|2| = 1/7 + C1

Simplifying, we can write:

ln|2| = (1/7) + C1

To solve for C1, we subtract (1/7) from both sides:

C1 = ln|2| - (1/7)

Now we can substitute this value back into our equation:

ln|y| = (1/7)x^7 + ln|2| - (1/7)

Finally, we can simplify the equation to its final form:

ln|y| = (1/7)x^7 + ln(2/7)

Taking the exponential of both sides, we have:

|y| = e^((1/7)x^7 + ln(2/7))

Since we are given the point (x, y) = (1, 2), we know that y is positive at this point. Therefore, we can remove the absolute value sign:

y = e^((1/7)x^7 + ln(2/7))

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The number of possible groups or combination of three men can be formed from 10 is 120.

According to the given question.

Total number of men in a company, n = 10.

Number of men to be selected, r = 3

As we know that, What is a combination in math?

Image result for what is combination

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Therefore, the number of possible groups or combination of three men can be formed from 10

= \(^{10} C_{3}\)

= 10!/ 3!7!

= 10(9)(8)/3(2)

= 5 × 3 × 8

= 120

The number of possible groups or combination of three men can be formed from 10 is 120.

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Answer:

true

Step-by-step explanation:

A correlation is symmetrical;x is as correlated with y as y is with x. The Pearson product-moment correlation can be understood within a regression context,however.

Depth-first search (DFS) is a graph traversal algorithm that visits each vertex in a graph and explores as far as possible along each branch before backtracking. The time complexity of the DFS algorithm depends on the number of edges (|E|) and vertices (|V|) in the graph.

In DFS, each vertex is visited at most once and each edge is traversed at most twice (once for discovery and once for backtracking). Therefore, the time complexity of DFS is proportional to the number of edges and vertices in the graph. Specifically, the time complexity is O(|E| + |V|), where the O notation indicates the upper bound of the algorithm's time complexity.

Therefore, the statement "The time complexity of the DFS algorithm is O(|E| + |V|)" is true, and the answer is (A) True.

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Complement of set A is the set of all elements in the universal set that are not in the set .

If there is a subset of the universal set (U) called A, then the complement of set A, denoted by the symbol A', is different from the elements of set A and contains the elements of the universal set but not the elements of set A.

In this case, A' = x U: x A.

In other words, the complement of a set A is the difference between the universal set and set A.

For example: U = {1, 2, 3, 5, 7, 9, 15 ,14, 13}, A = {1, 2, 3, 5,7,9}, find the complement of A.

A' = U - A = {1, 2, 3, 5, 7, 9, 15,14,13} - {1, 2, 3, 5,7,9} = {15,14, 13}

A set that contains items from all related sets, without any repetition of elements, is known as a universal set (often symbolised by the letter U). If A and B are two sets, for example, A = 1, 2, 3 and B = 1, a, b, c, then U = 1, 2, 3, a, b, c is the universal set that these two sets belong to.

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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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If  n(E1 and E2) = 3 and n(E1) = 12, then  P(E2|E1) = 1/4. To find the probability P(E2|E1), given that n(E1 and E2) = 3 and n(E1) = 12, we'll use the conditional probability formula. The formula is P(E2|E1) = P(E1 and E2) / P(E1).

Step 1: Find the probabilities of the events.
P(E1) = n(E1) / total outcomes = 12 / total outcomes
P(E1 and E2) = n(E1 and E2) / total outcomes = 3 / total outcomes
Step 2: Plug the probabilities into the conditional probability formula.
P(E2|E1) = P(E1 and E2) / P(E1)

Step 3: Substitute the values from Step 1 into the formula.
P(E2|E1) = (3 / total outcomes) / (12 / total outcomes)
Step 4: Simplify the expression.
P(E2|E1) = 3/12
Step 5: Reduce the fraction to the simplest form.
P(E2|E1) = 1/4
So, the probability of event E2 occurring given that event E1 has occurred is 1/4 or 0.25.

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The future value of the deposits at the end of 5 years is approximately $6,138.74.

To calculate the future value of the deposits, we can use the formula for compound interest:

FV = P(1 + r/n)^(nt)

Where: FV is the future value

P is the principal amount (initial deposit)

r is the annual interest rate (3% in this case)

n is the number of times interest is compounded per year (quarterly in this case)

t is the number of years

In this case, the principal amount is $1,000, the annual interest rate is 3% (or 0.03), the number of times interest is compounded per year is 4 (quarterly), and the number of years is 5.

Plugging in these values into the formula, we get: FV = $1,000(1 + 0.03/4)^(4*5)

Calculating this, the future value of the deposits at the end of 5 years is approximately $6,138.74.

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0.8 is greater than 0.3 an image is attached to show the plotting on the number line.

A number line is a one-dimensional horizontal line where we can represent any real number. The origin of the number line is represented by zero left to it are all negative real numbers and right to it are all positive real numbers.

Given, are two decimals 0.3 and 0.8.

We know 0.3 lies between 0 and 0.5 and 0.8 lies between 0.5 and 1.

∴ 0.8 > 0.3.

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Answer:Examples of Spiral Movement are:

Step-by-step explanation:

1)Cyclone

2)Spiral fern

The examples of a spiral motion include cyclone, motion of electron in uniform magnetic field.

The path of a point in a plane moving around a central point while continuously receding from or approaching it.

Given is a spiral motion.

The examples of a spiral motion include cyclone, motion of electron in uniform magnetic field.

Therefore, the examples of a spiral motion include cyclone, motion of electron in uniform magnetic field.

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Answer:

Step-by-step explanation:

Use ratios:

Solve by cross-multiplication:

In a galvanic cell, the reduction potentials of two standard half-cells are 1.08 V and -0.85V. The predicted cell potential of the galvanic cell constructed from these two half-cells is 1.93 V.

The galvanic cell reaction involves the movement of electrons from the anode to the cathode. The electrons move from the higher negative electrode potential to the lower positive electrode potential.

For the given half-cell potentials, the cell potential can be calculated as follows Cell potential (E°cell) = E°cathode – E°anodeE°cell = 1.08 V - (-0.85 V)E°cell = 1.93 V Thus, the predicted cell potential of the galvanic cell constructed from these two half-cells is 1.93 V.

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1)  The number of gallons of soapy water that are in Elianni's bucket are; 1.5 gallons

2) The number of more quarts that it can hold is; 14 more quarts

Elianni puts 12 pints of soapy water in the bucket to wash her blue Hondi. From conversion factors, we know that;

1 pint = 1/8 gallon

Thus;

12 pints = 12 * (1/8)

12 pints =  (12/8) gallons

= 3/2 = 1.5 gallons.

Due to the fact that the bucket is 5 gallon capacity, It can hold:

5 - 1.5 = 3.5 gallons more.

But from conversion factors, we know that;

1 gallon = 4 quarts.

Thus;

3.5 gallons = 3.5 * 4

= 14 quarts more.

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Answer:

q = -3/8

Step-by-step explanation:

Clearing out the fractions first simplifies this problem.  The LCD here is 8, so we multiply all three terms of 7/8 = q + 1/2 by 8 and simplify the result:

7 + 8q = 4.  

Combining the constants, we get:  8q = 4 - 7, or 8q = -3.

Finally, solve for q:

q = -3/8

Answer:

b

Step-by-step explanation:

A line sloping upwards from left to right has a positive gradient.

A line sloping downwards from left to right has a negative slope

If the line crosses the y- axis above the x- axis then y- intercept is positive.

If the line crosses the x- axis below the x- axis then y- intercept is negative.

The line shown slopes downwards from left to right, thus negative gradient

The line crosses the y- axis above the x- axis thus y- intercept is positive

Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents