What is 15% of 208.60 dollars

The surface area of the square pyramid is 84 \(cm^{2}\).

A three-dimensional object's surface area is the sum of all its faces.

To find the surface area of the square pyramid we need to add the area of each face.

The base of the square pyramid is square with a length is 6cm and a height of 4cm.

Therefore find the area of the square base which is equal to the square of the side,

Area of square base = \((side)^{2} = 6^{2} = 36\)

Now we need to find the area of the triangular faces, where all the triangle is right angle triangle. the height of the triangle is 4 cm and the base is equal to half of the length of the square pyramid which is b = 3. The slant height of the triangle is the hypotenuse.

Now to find the area of the triangle =

\(A_ tri = \frac{1}{2} * base * height\\A_ tri = \frac{1}{2} * 3 * 4\\A_ tri = 12 cm^{2}\)

There are total 4 triangle = 4 * 12 = 48 \(cm^{2}\)

Therefore to find out the total surface area of the square pyramid

36 + 48 = 84\(cm^{2}\)

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Answer:

what functions?

Step-by-step explanation:

The last four digits of the number nn are 4944

Given that,

Let nn stand for the lowest positive integer that can be represented in base-1010 using only the numbers 44 and 99, with at least one of each. This number must be divisible by both 44 and 9,9.

The last two digits of n must be divisible by 4 for n to be divisible by 4.

So last digits of n will be 44.

And for divisiblity by 9, sum of all digits of n has to be divisible by 9.

As two digits are fixed and their total is 8, next feasible total will be 45 so 9 can be atleast one time in n.

And as statement says n has to be smallest number n will be 4444444944

So last 4 digits of n are 4944.

Therefore, nn's last four numbers are 4944.

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The lines which are parallel are none.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.

Given;

Coordinates of three lines

a;(1,5) and (-2,-4)

b;(3,2) and (1,-4)

c;(6,1) and (-4,2)

Now, slopes of the lines

a= -4-5/-2-1

=10/3

b=-4-2/1-3

=-3

c=2-1/-4-6

=1/-10

Therefore, by slopes of the line none of them are parallel.

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Answer:

179.3 square units

Step-by-step explanation:

We have to find the area of the rectangle and area of semicircle using the formula and then add the areas.

Area of rectangle:

                  length = 14 units

                   width = 10 units

          \(\sf \boxed{\text{\bf Area of rectangle = length * width}}\)

                                             = 14 * 10

                                             = 140 square units

Area of semicircle:

                diameter of semicircle = width of the rectangle

                                                 d =  10 units

                                                 r = d ÷ 2

                                                    = 10 ÷ 2

                                                    = 5 units

                     \(\boxed{\text{\bf Area of semicircle = $\dfrac{1}{2}\pi r^2$}}\)

                                                       \(\sf = \dfrac{1}{2}*3.14*5*5\\\\ = 39.26\\\\ = 39.3 \ square \ units\)

Area of the figure = area of rectangle +  area of semicircle

                             = 140 + 39.3

                             = 179.3 square units

The equation of line is  y + 5 = -3x.

Here w have to graph a linear equation such that,

It has slope -3 and giving negative intercept with y axis.

Now consider this line passing through (0, -5)

Since we know that,

The equation of line having slope m and passing through (x₁, y₁) be,

⇒ y - y₁ = m(x - x₁)

Here we have,

m = -3

(x₁, y₁) = (5, -5)

Thus, the equation of line be,

⇒ y + 5 = -3(x - 0)

Thus,

The graph of line is attached below.

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The phase angle between the current and voltage in a pure resistive circuit is 0 radians.

How to determine the answer:In a pure resistive circuit, the phase angle between current and voltage is \(0\) radians.

This is because a pure resistive circuit has a voltage and a current in the same phase, which implies that the two are in phase.

To understand this, let's look at the two main parts of the question: a pure resistive circuit and the phase angle between current and voltage.

A pure resistive circuit is a circuit in which the only element is a resistor.

This means that the circuit does not contain any inductors or capacitors and, as a result, does not have any phase shift in the current or voltage.

The phase angle between current and voltage is the angle between the current and voltage waveforms in a circuit.

The angle is measured in radians and is positive for capacitive circuits and negative for inductive circuits.

In conclusion, the phase angle between current and voltage in a pure resistive circuit is \(0\) radians.

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The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.

To create a box and whisker plot for the given dataset {69, 88, 94, 73, 78, 90, 68}, follow these steps:

Step 1: Arrange the data in ascending order:

68, 69, 73, 78, 88, 90, 94

Step 2: Find the five-number summary:

Minimum: The smallest value in the dataset, which is 68.

First quartile (Q1): The median of the lower half of the dataset. In this case, it's the median of {68, 69, 73}, which is 69.

Median (Q2): The middle value of the dataset. In this case, it's 78.

Third quartile (Q3): The median of the upper half of the dataset. In this case, it's the median of {88, 90, 94}, which is 90.

Maximum: The largest value in the dataset, which is 94.

Step 3: Create the box and whisker plot:

Draw a number line with a range from the minimum (68) to the maximum (94).

Mark the first quartile (Q1) at 69.

Mark the median (Q2) at 78.

Mark the third quartile (Q3) at 90.

Draw a box from Q1 to Q3.

Draw a vertical line (whisker) from the box to the minimum (68) and another vertical line from the box to the maximum (94).

The resulting box and whisker plot for the given dataset would look like this:

  |

 94|                 ▄

  |                ╱ ╲

 90|              ╱   ╲

  |             ╱     ╲

 88|            ▇       ▂

  |            ▇       ▂

 78|            ▇       ▂

  |            ▇       ▂

 73|          ╱         ╲

  |         ╱           ╲

 69|        ▃             ▃

  |       ╱               ╲

 68|      ╱                 ╲

  |_________________________________

    68     73     78     88     94

This plot represents the distribution of the given dataset, showing the minimum, maximum, first quartile (Q1), median (Q2), and third quartile (Q3).

The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.

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Answer:

A: CX and XW= 25     B: BY XY= 36

C: AX AZ= 9

Step-by-step explanation:

The factored form of the polynomial P(x) = x³ + 2x² + 4x + 8 is P(x) = (x + 1)(x² + x + 7). The quadratic factor x^2 + x + 7 cannot be further factored into linear factors with real coefficients.

To factor the polynomial P(x) = x³ + 2x² + 4x + 8, we can look for potential roots by applying synthetic division or by using synthetic substitution. In this case, we can start by trying small integer values as possible roots, such as ±1, ±2, ±4, and ±8, using the Rational Root Theorem.

By synthetic substitution, we find that -1 is a root of the polynomial. Dividing P(x) by (x + 1) using long division or synthetic division, we get:

P(x) = (x + 1)(x² + x + 7)

Now, we need to factor the quadratic expression x² + x + 7. However, upon factoring this quadratic expression, we find that it cannot be factored further into linear factors with real coefficients. Therefore, the factored form of P(x) is:

P(x) = (x + 1)(x² + x + 7)

Please note that the quadratic factor x² + x + 7 does not have any real roots. Therefore, the complete factored form of P(x) is as given above.

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Step-by-step explanation:

2 Buildings : 3 Floors Each : 16 Windows per Floor

Multiply 2 and 3 to get the total amount of floors.

2 times 3 equals 6

Then, multiply 6 and 16 to get the total amount of windows in the Park View Buildings.

6 times 16 equals 96

Therefore, there are 96 windows in total or 48 windows per building

Answer:

I think it is step 1: C and step 2: B

But I’m not completely sure so pls let me know if I was right or wrong

Step-by-step explanation:

Have a great day

Answer:

2400

which is not having any remainder as 2400÷60=40

Step-by-step explanation:

Answer:Computer Store sells DVDs for a day =    110

No. of days the store works                 =    266

No. of DVDs saled in 266 days          =    266 days  x   110DVDs

                                                             =    29,260 DVDs

Step-by-step explanation:

Inequality can be used to determine x, the greatest number of 120-kilogram crates that can be loaded onto the shipping container is  8000 + 120C <= 27500

An inequality is a relationship that allows us to contrast two or more mathematical expressions.

Knowing that;

Each carton weighs 120 kg.

The container's maximum weight when loaded is 27500 kg.

Weight of the container as it is currently loaded: 8000 kg

Now that we have merged, we have;

Solution

because 8000 grams have already been loaded kilograms

into the container

each crate weighs 120 kilograms.

so 8000 + 120C <= 27500

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The measure that would be used to compute the average gender of subjects is the mean. Option a) mean is the correct answer.

The mean is calculated by adding up all of the values in a set of data and dividing by the number of values. In this case, if we assign a value of 0 to represent male and a value of 1 to represent female, we can calculate the mean by adding up all of the values and dividing by the total number of subjects.

However, it is important to note that gender is a binary category and using numerical values to represent it may not be appropriate or respectful. Additionally, the concept of an "average" gender may not be meaningful or relevant in all contexts.

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Answer:

The slope will be m=-3

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

Answer:

Rational.

Step-by-step explanation:

A real number is rational.

Solution:

Given the parallelogram below:

According to the properties of a parallelogram, the opposite sides are parallel and equal in dimensions.

Thus,

A) Height of the parallelogram:

The length BE is the height of the parallelogram, which is evaluated using the Pythagorean theorem.

According to the Pythagorean theorem,

Where

To evaluate h, we need to determine the value of EC.

Recall that

Thus, we have

We can now determine the value of h.

From the Pythagorean theorem,

The major benefit of enterprise application integration (EAI) is that it allows different applications and systems within an organization to seamlessly communicate and share data.

This integration eliminates data silos and enables real-time data exchange, leading to improved efficiency, productivity, and decision-making within the organization.

By implementing EAI, businesses can achieve the following benefits:

1. Enhanced Data Accuracy and Consistency: EAI ensures that data is synchronized and consistent across different systems, eliminating the need for manual data entry and reducing the risk of errors or discrepancies.

2. Increased Efficiency and Productivity: EAI automates the flow of information between applications, reducing the need for manual intervention and streamlining business processes.

This leads to improved efficiency and productivity as employees spend less time on repetitive tasks.

3. Improved Decision-Making: EAI provides a unified view of data from various systems, enabling better analysis and decision-making. Decision-makers have access to real-time and accurate information, allowing them to make informed and timely decisions.

4. Cost Savings: By integrating existing applications instead of developing new ones from scratch, EAI can help businesses save costs. It reduces the need for duplicate systems, minimizes data duplication, and optimizes IT infrastructure.

5. Scalability and Flexibility: EAI allows organizations to easily integrate new applications or systems as their needs evolve. It provides a flexible framework that can accommodate future growth and changes in business requirements.

Overall, the major benefit of enterprise application integration is the ability to achieve seamless connectivity and data exchange between systems, leading to improved efficiency, productivity, and decision-making in an organization.

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The probability that a student is going to be absent given that today is Friday is 3/20.

Here in the given problem, we have been given two conditions, that is -

The probability of the student being absent during professor Pouokam's class is = A = 0.03 (i)

The probability of it being Friday is = F = 0.2 (ii)

We know that in order to solve we need to use Conditional Probability and that the formula for conditional probability is =

= Probability(A/F) = 0.03/0.2

=Probability for the given problem = 3/20 (iii)

Hence, the probability that a student is absent given that today is Friday is 3/20.

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Answer:

when the copper is gold and triangle is isocesles triangles what is your number?

Step-by-step explanation:

the answer is i leb ye

The true solutions are" The value of W cannot be a negative number ", "substitution is used to replace the variable l with a value of 20"  and " the subtraction property of equality is used to isolate the term with the variable W

Given that Shana wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of the run 20 feet .she writes and solves the equation 2l+2w=62 to find the width of the run and asked what are the true solutions

⇒2l+2w= 62

⇒2w+2(20)=62  ( given the length to run is 20 feet)

⇒2w= 62-40

⇒2w=22

⇒w=11

The value of w is 11 feet .so, 1st statement is false and statement 2 is also false. 11 feet is not a negative number so, the 3rd statement is correct. given the length to run is 20 feet, substitution is used to replace the variable l with a value of 20 i.e. 4th statement is correct. To find the value of w, used subtraction property i.e. 4th statement is also correct

Hence, The true solutions are" The value of W cannot be a negative number ", "substitution is used to replace the variable l with a value of 20"  and " the subtraction property of equality is used to isolate the term with the variable W "

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Polygon, triangle, isosceles, equilateral in order based off their classification is mentioned below.

A polygon is a two-dimensional geometric shape with straight sides that is made up of three or more line segments that are connected end-to-end. The line segments are called edges or sides, and the points where they meet are called vertices.

The simplest polygon is a triangle, which has three sides and three vertices. Polygons with more sides are named using the Greek numerical prefixes. For example, a polygon with four sides is called a quadrilateral, a polygon with five sides is called a pentagon, a polygon with six sides is called a hexagon, and so on.

In order from more general to more specific:

Polygon: A two-dimensional closed shape with straight sides.

Triangle: A polygon with three sides and three angles.

Isosceles triangle: A triangle with at least two sides of equal length.

Equilateral triangle: A triangle with all three sides of equal length.

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The doctor would prescribe 8 milliliters of acetaminophen for Jocelyn, who weighs 40 pounds.

According to the given information, pediatricians prescribe 5 milliliters (ml) of acetaminophen for every 25 pounds of a child's weight. So, if a child weighs 50 pounds, the doctor would prescribe 10 ml of acetaminophen.

Now, let's apply this formula to Jocelyn's weight. As Jocelyn weighs 40 pounds, we need to calculate how many 25-pound increments her weight contains. To do this, we can divide her weight by 25:

40 pounds ÷ 25 pounds = 1.6 increments

This means that Jocelyn's weight is equivalent to 1.6 times the 25-pound increment used in the prescription. To determine the amount of acetaminophen she needs, we can multiply 5 ml (the prescribed dose for 25 pounds) by 1.6:

5 ml × 1.6 = 8 ml

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Answer:

20

Step-by-step explanation:

($8.25 x 5 hours) + 10x <= 175

41.25 + 10x <= 175

x =4  that is 4 weeks

so multiple 5 hours by 4 to get 20 hours

that way she is earning 175 per week

The height of the right octagonal prism is approximately 10.75 cm.

The given information states that the base of the prism is a regular octagon with each side measuring 2.3 cm, and the area of the base is 25.76 cm². Additionally, the surface area of the prism is 223.56 cm².

First, let's calculate the area of the eight lateral faces. We can do this by subtracting the base's area from the total surface area:

223.56 cm² (total surface area) - 25.76 cm² (base area) = 197.8 cm² (lateral area)

Now, we know that the lateral area is the sum of the areas of all eight rectangular faces. Each rectangle has a base of 2.3 cm (the same as the sides of the octagonal base) and a height equal to the height of the prism (h). Since there are eight faces, the combined area of these rectangles is 8 x 2.3 x h:

8 x 2.3 x h = 197.8 cm²

18.4 x h = 197.8 cm²

To find the height of the prism (h), we can divide both sides of the equation by 18.4:

h = 197.8 cm² / 18.4

h ≈ 10.75 cm

So, the height of the right octagonal prism is approximately 10.75 cm.

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To represent decimal values ranging from 0 to 12,500, we need 14 bits.

To determine the number of bits needed to represent decimal values ranging from 0 to 12,500, we need to find the smallest number of bits that can represent the largest value in this range, which is 12,500.

The binary representation of a decimal number requires log base 2 of the decimal number of bits. In this case, we can calculate log base 2 of 12,500 to find the minimum number of bits needed.

log2(12,500) ≈ 13.60

Since we can't have a fraction of a bit, we round up to the nearest whole number. Therefore, we need at least 14 bits to represent values ranging from 0 to 12,500.

Using 14 bits, we can represent decimal values from 0 to (2^14 - 1), which is 0 to 16,383. This range covers the values 0 to 12,500, fulfilling the requirement.

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The distance between the earth and the star is 2.01200 x 10^20 miles.

Given:-

The distance between the Earth and the star is 33.7 light-years, and one light-year is equal to 6 trillion miles.

To find:-

The distance between the earth and the star in miles. The speed of light in a vacuum is 3 x \(10^{8}\) m/s. Sunlight takes about 8 minutes to reach the Earth.

Light-year is the distance travels by light in one year.

To convert 33.7 light-years into miles multiply 33.7 by 6 trillion.

33.7 light-years * 6,000,000,000,000 miles/light-year  

= 201,200,000,000,000,000 miles

= 2.01200 x 10^20 miles

The distance between the earth and the star is 2.01200 x 10^20 miles.

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