Shannon's aunt gave her a $10 gift card to Toys R Us for her birthday. Determine the price of the most expensive toy that Shannon can buy with this gift card if sales tax is currently 9.4%.

Important notice:

/\2 = Power 2

Answer:

D. 1,047.2

Step-by-step explanation:

The volume of the grain silo can be found by adding the volumes of all the solids of which it is composed.

The silo is made up of a cylinder with the height of 10 feet and base radius of 5 feet and two cones, each having the height of 5 feet and base radius of 5 feet.

The formulas volume of cylinder πr /\2 h and volume of cone 1/3  πr/\2h can be used to determine the tatol volume of the silo.

Since the two cones have identical dimensions, the total volume, in cubic feet, of the silo is:

V = π(5)/\2 (10) + (2) ( 1/3) π(5) /\2 (5)

= ( 4/3 ) (250)π

= 1,047.2 cubic feet.

It depends on the number of decimal points of the values from which we get the average.

Normally it must be rounded to the nearest tenth, 17.3

Tanya yearly salary is

$35000 + 8% of her sales

Let her sales be x

Since, her sales is x

35000 + 0.08x > salary

To determine her necessary sales to earn over $50, 000

Let $50, 000 be her benchmark salary

35,000 + 0.08 * x > 50000

35000 + 0.08x > 50000

0.08x > 50000 - 350000

0.08x > 15000

Divide both sides by 0.08

0.08x/0.08 > 15000/0.08

x > 15000 / 0.08

x > 187,500

Therefore, she will need a sales of 188,000 and above to earn above $50,000

Answer:

Rational

Step-by-step explanation:

Quick Easy Eliminations:

We can get rid of positive integer as the sum of these roots is a decimal which is not a whole number. Hence, we can eliminate 2 options, C. Positive integer and D. Whole Number.

First solve:

6√14 + √14

= 7√14 (Decimal form: 26.191602)

What we need is the decimal form in order to determine if it's rational or irrational.

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Rational

Answer and Step-by-step explanation:

Areas of mathematics, and give a precise definition of each.

Sol: importance: mathematics can be tricky, so precise definitions are essential. Without them, there can be confusion, which will generate the wrong answer more often than not.  It teaches the students exactly how to use formulas and under what condition a mathematical statement is true.

Some words related to geometry that are quite hard to define precisely are the line, the plane, and the point. In mathematics, the unit square is area one and any other shape.

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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Answer:

x ≤ - 17 or x ≥ 15

Step-by-step explanation:

\(\frac{1}{4}\) | x + 1 | ≥ 4 ( multiply both sides by 4 to clear the fraction )

| x + 1 | ≥ 16

Inequalities of the type | ax + b | ≥ c , have solutions of the form

ax + b ≤ - c or ax + b ≥ c , then

x + 1 ≤ - 16 ( subtract 1 from both sides )

x ≤ - 17

or

x + 1 ≥ 16 ( subtract 1 from both sides )

x ≥ 15

solution is x ≤ - 17 or x ≥ 16

If two independent tests are applied, and both yield positive results, the posterior probability that the selected individual has the disease can be calculated using Bayes' theorem.

To calculate the posterior probability, we can use Bayes' theorem, which relates the conditional probabilities involved. Let's denote the following:

- A: The event that the individual has the disease.

- B: The event that both tests are positive.

We are interested in finding P(A|B), the probability that the individual has the disease given that both tests are positive. According to Bayes' theorem:

P(A|B) = (P(B|A) * P(A)) / P(B)

Here, P(B|A) represents the probability of getting two positive test results given that the individual has the disease, P(A) is the prior probability of the individual having the disease, and P(B) is the probability of getting two positive test results irrespective of whether the individual has the disease or not.

Since the tests are assumed to be independent, we can write P(B|A) as P(positive test) * P(positive test), where P(positive test) represents the probability of a single test being positive.

Therefore, the posterior probability can be calculated as follows:

P(A|B) = (P(positive test) * P(positive test) * P(A)) / P(B)

To obtain a specific numerical answer, we would need information about the prior probability of having the disease (P(A)), the probability of a single test being positive (P(positive test)), and the probability of both tests being positive (P(B)). Without these values, we cannot provide an exact posterior probability.

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The equation of the ellipse with foci at (+-17,0) and co-vertices at (+-2,0) is:

x^2 / 289 + y^2 / 4 = 1

To write the equation of an ellipse, we need to determine its center, semi-major axis, semi-minor axis, and orientation angle.

The center of the ellipse is the midpoint between its two foci, which in this case is at (0,0). The distance between the center and each focus is equal to the semi-major axis (a), so we have:

a = 17

The distance between the center and each co-vertex is equal to the semi-minor axis (b), so we have:

b = 2

The orientation of the ellipse is along the x-axis since the co-vertices lie on the x-axis. Therefore, the major axis is parallel to the x-axis, and the minor axis is parallel to the y-axis.

The equation of an ellipse with center (h,k), semi-major axis a, semi-minor axis b, and orientation angle θ is given by:

((x-h)cosθ + (y-k)sinθ)^2 / a^2 + ((x-h)sinθ - (y-k)cosθ)^2 / b^2 = 1

In this case, since the center is (0,0), θ = 0, so the equation simplifies to:

x^2 / 17^2 + y^2 / 2^2 = 1

which can also be written as:

x^2 / 289 + y^2 / 4 = 1

Therefore, the equation of the ellipse with foci at (+-17,0) and co-vertices at (+-2,0) is:

x^2 / 289 + y^2 / 4 = 1

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The class size is 10.

The upper limit of the class interval 40 - 50 is 50/

The lower limit of the class interval 20 - 30 is 20.

The frequency of class interval 10 - 20 is 10.

A class interval is a group of values that are put together for computation in a frequency distribution. An example of a class interval is 20 - 30. The class size is the difference between the upper limit and the lower limit of a class interval. The class size is the same for all the data set.

Class size = upper limit - lower limit

50 - 40 = 10

The upper limit is the biggest number in a class. The lower limit is the smallest number in a class. For example in the class 20 - 30, the  upper limit is 30 and the  lower limit is 20. The frequency of a distribution is the number of times that data within a class appears in the data set. For example, the class 40 -- 50 appears 7 times in the data set.

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Answer:

16 x 4.

Step-by-step explanation:

What multiplies into 64?

could be 16 and 4?

16 x 2 = 32

4 x 2 = 8

32 + 8 = 40, therefore, this is correct.

Answer:

96

Step-by-step explanation:

Because you're increasing the number, you'll add the percentage to 100%. After that, use ratio to solve.

Therefore,

100% : 64

100% + 50%(150%) : ?

= 150/100 × 64

= 15/10 × 64

= 3/2 × 64

= 3/1 × 32

= 3 × 32

= 96

Answer:

Yes, similar by SSS

Step-by-step explanation:

12/16 is similar to 8/12 they both simplify to 3\4

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Principal Component Analysis (PCA) is a dimensionality reduction technique used to simplify complex datasets while retaining important information. It achieves this by transforming the original variables into a new set of variables called principal components.

These principal components are linear combinations of the original variables and are designed to capture the maximum amount of variance in the data.

Here's a detailed explanation of the steps involved in PCA:

1. Standardize the data:

  First, the dataset is standardized by subtracting the mean from each variable and dividing by the standard deviation. Standardizing the data ensures that each variable contributes equally to the analysis and prevents variables with larger scales from dominating the results.

2. Compute the covariance matrix:

  The covariance matrix is calculated based on the standardized data. It represents the relationships between different variables in the dataset. The covariance between two variables measures how they vary together. A positive covariance indicates that the variables tend to increase or decrease together, while a negative covariance indicates an inverse relationship.

3. Compute the eigenvectors and eigenvalues:

  The eigenvectors and eigenvalues are calculated from the covariance matrix. Eigenvectors represent the directions in the dataset along which the data varies the most. Each eigenvector corresponds to an eigenvalue, which represents the amount of variance explained by the respective eigenvector. The eigenvectors are sorted in descending order based on their corresponding eigenvalues.

4. Select the principal components:

  The principal components are selected based on the eigenvalues. The first principal component (PC1) corresponds to the eigenvector with the largest eigenvalue and captures the most variance in the data. Subsequent principal components capture decreasing amounts of variance. Typically, a subset of principal components that explain a significant portion (e.g., 95%) of the total variance is chosen.

5. Transform the data:

  The original data is transformed into the new coordinate system defined by the principal components. This transformation involves multiplying the standardized data by the matrix of selected eigenvectors. The resulting transformed data contains the scores along the principal components.

PCA is useful for various purposes, including dimensionality reduction, data visualization, and feature extraction. It allows for the identification of patterns and relationships within the dataset while reducing the dimensionality of the data, which can be beneficial in computational efficiency and interpretation.

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Answer:

the error is that you have passed the negative sign alongside with the 0.8 but you have corrected by putting the -0.8 in the parentheses. if you used a computer check your answer something that could have messed up was the negative sign on the right side of the r in the part where It says r=12.6+(-0.8)

Jarrod will need 9 pages if he has 75 sports cards

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Calculating the number of pages Jarrod will need:

No. pages = No. cards / sport card holder

No. pages = 75 cards / 9 cards/page

No. pages = 8.33 pages

Rounding the value up we get:

No. pages = 9 pages

The 9 pages will be distributed as follows:

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

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John's percentage profit can be calculated by determining the difference between his selling price and the cost price, dividing that by the cost price, and then multiplying by 100. In this case, John's percentage profit is 30%.

To calculate the percentage profit, we need to find the difference between the selling price and the cost price. John buys 20 bunches of bananas for N5 each, so his total cost price is N5 multiplied by 20, which equals N100. He sells each bunch for N6.50, so his total selling price is N6.50 multiplied by 20, which equals N130.

To calculate the profit, we subtract the cost price from the selling price: N130 - N100 = N30. The profit is N30.

To find the percentage profit, we divide the profit by the cost price and multiply by 100: (N30 / N100) * 100 = 30%. Therefore, John's percentage profit on the sale of 20 bunches of bananas is 30%.

This means that John made a 30% profit on his investment. For every N100 he spent on purchasing the bananas, he earned an additional N30 when selling them.

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Mrs. Irfan needs to buy 10,000 tiles to cover the floor of her balcony.

To determine the number of tiles Mrs. Irfan needs to cover her balcony, we need to first calculate the area of each tile. The area of each tile can be determined by multiplying its length and breadth:

Area of each tile = Length × Breadth = 20 cm × 10 cm = 200 cm²

Next, we need to calculate the total area of the balcony, which is given as 200 cm². However, we need to convert this to square centimeters since we have determined the area of each tile in square centimeters. We can do this by multiplying 200 cm² by 10,000 (1 square meter is equal to 10,000 square centimeters):

Total area of balcony in square centimeters = 200 cm² × 10,000 = 2,000,000 cm²

To determine the number of tiles Mrs. Irfan needs, we can divide the total area of the balcony by the area of each tile:

Number of tiles needed = Total area of balcony ÷ Area of each tile

= 2,000,000 cm² ÷ 200 cm²

= 10,000 tiles

Complete question:

Mrs. Irfan wants to use tiles of a length of 20 cm and a breadth of 10 cm to cover the floor of her balcony. The area of the balcony is 200 cm^2. how many tiles does she need to buy(1sq m = 10,000 Sq cm)?​

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Answer:

que

Step-by-step explanation:

no Tengo carnitas yo quero sopes

Okay, here we have this:

Considering the provided sentences, we are going to apply the law of syllogism, so we obtain the following:

Let us remember that the law of Syllogism says that:

(1) If p , then q . And (2) If q , then r .

Then we can derive that: (3) If p , then r .

Applying:

(1) If the dog jumps in the lake, then it gets wet. (R->S)

(2) If the dog gets wet, then it can't come in the house. (S->T)

We can derive that:

(3) If the dog jumps in the lake, then it can't come in the house. (R -> T)

Answer: 41 more games.

Step-by-step explanation:

4030-2595 to find out how many points he needs to score.

1435

If he averages 35 per game lets divide 1435 by 35 to get the answer of 41.

Hi there, here's your answer:

Given 2 angles:

(6d + 8)° and (8d + 4)°

Observe the figure carefully. You will notice that the two angles form a linear pair.

We know that in a linear pair, sum of the two angles = 180°.

Hence,

(8d + 4 + 6d + 8)° = 180°

(14d + 12)° = 180°

(14d)° = (180 - 12)°

= 14d = 168°

Or

d = 12

Thus, we find the value of d to be d = 12.

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Answer:

in 2nd figure will mean greater

Answer:

its the 4th one hopes this help

s

Step-by-step explanation:

Answer:

x = - 7, x = 2

Step-by-step explanation:

Given

x² + 5x - 14 = 0

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)

The factors are + 7 and - 2, since

7 × - 2 = - 14 and 7 - 2 = + 5 , thus

(x + 7)x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 2 = 0 ⇒ x = 2

Answer:

e can treat 7 friends

Step-by-step explanation:

2f+10=24

2f=24-10=14

f=14/2=7

Answer:

B

Step-by-step explanation:

The sign means greater than or equal to and the car need to travel at least 570 miles.

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Answer:

Step-by-step explanation:

b

Answer:

8.1 + 7.9 X - 25 ÷ 5

16 X - 5 X

= 11 X

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Answer:

11x

Step-by-step explanation:

(8.1 + 7.9)x – (25 ÷ 5)x = (8.1+7.9)x - 5x

                                     = 16x - 5x

                                     = 11x

The probability that she selects the route of three specific capitals is 97290/1.

The probability that she selects the route of three specific capitals can be calculated by taking the total number of possible routes and dividing it by the total number of routes that involve the three specific capitals. To calculate the total number of possible routes, multiply the number of states (47) by the number of routes that could be selected from each state (2). This gives 94 total possible routes.

47 x 46 x 45 ways = 97290 ways

= 1/97290

Now, calculate the number of routes that involve the three specific capitals. Since the president is selecting three states, the total number of routes will be 3. Therefore, the probability that she selects the route of three specific capitals is 3/94, which can be simplified to 97290/1.

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