Find the base of a triangle if its area is 54 square centimeters and its altitude is 9 centimeters.

The perimeter of the polygon will be (2x + 2xy + y + xz). Then the correct option is D.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The figure is given below.

The sides of the polygon are given as x, y, xz, x, xy, and xy.

Then the perimeter of the polygon will be

The perimeter of the polygon is given as the sum of all the sides of the polygon.

Then the perimeter will be

P = x + y + xz + x + xy + xy

P = 2x + y + 2xy + xz

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Patrick received a total of approximately $6,785.97 over the course of 52 weeks.

To calculate the total amount of money Patrick received over the 52 weeks, we can use the concept of a geometric sequence. The first term of the sequence is $10, and each subsequent term is 10% more than the previous term.

To find the sum of a geometric sequence, we can use the formula:

Sn = a * (r^n - 1) / (r - 1),

where Sn is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.

In this case, a = $10, r = 1 + 10% = 1.1 (common ratio), and n = 52 (number of weeks).

Plugging these values into the formula, we can calculate the sum of the sequence:

S52 = 10 * (1.1^52 - 1) / (1.1 - 1)

After evaluating this expression, we find that Patrick received approximately $6,785.97 over the 52 weeks.

As a result, Patrick collected about $6,785.97 in total over the course of 52 weeks.

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The price of a European call option can be determined using the Black-Scholes model. Given the parameters S0 = $50, rf = 0.05, T = 6 months, K = $55, and σ = 0.40, the calculated price of the option is $2.2745.

The Black-Scholes model is used to calculate the price of a European call option based on various parameters. The formula for the price of a European call option is:

C = S0 * N(d1) - K * e^(-rf * T) * N(d2)

Where:

C is the price of the call option

S0 is the current price of the underlying asset

N() represents the cumulative standard normal distribution function

d1 = (ln(S0 / K) + (rf + (σ^2)/2) * T) / (σ * sqrt(T))

d2 = d1 - σ * sqrt(T)

Using the given parameters, we can calculate the values of d1 and d2. Then, we use these values along with the other parameters in the Black-Scholes formula to calculate the price of the option. Substituting the given values into the formula, we have:

d1 = (ln(50 / 55) + (0.05 + (0.40^2)/2) * (0.5)) / (0.40 * sqrt(0.5)) = -0.3184

d2 = -0.3184 - (0.40 * sqrt(0.5)) = -0.6984

Next, we calculate N(d1) and N(d2) using the cumulative standard normal distribution table or a calculator. N(d1) ≈ 0.3745 and N(d2) ≈ 0.2433.

Plugging these values into the Black-Scholes formula, we get:

C = 50 * 0.3745 - 55 * e^(-0.05 * 0.5) * 0.2433 = $2.2745

Therefore, the calculated price of the European call option is approximately $2.2745.

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Answer:

The modes are 16, 17 and 20.

This is because they appear most often in the set of numbers. They each appear 3 times.

Have a good day :)

Answer:

• Mode is the observation that occurs most number of times.

therefore in this set of ungrouped data;

16 occurs 3 times

17 occurs 3 times

18 occurs 2 times

19 occurs 1 times

20 occurs 3 times

therefore mode here are 16,17 and 20

Answer:

16

Step-by-step explanation:

ab+6=(-2)(-5)+6=10+6=16

Answer:

It would be 16

Step-by-step explanation:

I hope this helped

Answer:

\( A(\triangle ABC) = 7.2\: units^2 \)

Step-by-step explanation:

C = (0, 7)

Since, point A lies in y-axis, so it's x coordinate will be zero. Line y = 2x + 1 passes through point A.

Therefore, plug x = 0 in y = 2x +1, we find:

y = 2*0 + 1 = 0 + 1 = 1

Hence, coordinates of point A are (0, 1).

Now, by distance formula:

\( AC= \sqrt{(0-0)^2 +(7-1)^2} \)

\( AC= \sqrt{(0)^2 +(6)^2 }\)

\( AC= \sqrt{0 +36 }\)

\( AC= \sqrt{36 }\)

\( AC= 6\: units\)

Length of perpendicular CB dropped from point C (0, 7) to line y = 2x + 1 or 2x - y + 1 = 0 can be obtained as given below:

\( CB =\frac{|2\times 0+(-1)\times 7+1|}{\sqrt {2^2 +(-1)^2} } \)

\( CB =\frac{|0-7+1|}{\sqrt {4 +1} } \)

\( CB =\frac{|-6|}{\sqrt {5} } \)

\( CB =\frac{6}{2.24} \)

\( CB =2.68\: units \)

By Pythagoras Theorem:

\( AB=\sqrt{AC^2 - CB^2} \)

\( AB=\sqrt{6^2 - (2.68)^2} \)

\( AB=\sqrt{36 - 7.18} \)

\( AB=\sqrt{28.82} \)

\( AB=5.36842621\: units \)

\( AB\approx 5.37\: units \)

\( A(\triangle ABC) = \frac{1}{2} \times AB\times CB\)

\( A(\triangle ABC) = \frac{1}{2} \times 5.37\times 2.68\)

\( A(\triangle ABC) = \frac{1}{2} \times 14.3916\)

\( A(\triangle ABC) = 7.1958\)

\( A(\triangle ABC) = 7.2\: units^2 \)

Hope it be correct.

The correct answer is E) None of these. The expression "-3 + 4 6/5" involves both addition and multiplication operations.

According to the order of operations (PEMDAS/BODMAS), multiplication should be performed before addition.

First, let's evaluate 4 * 6/5=

4 * 6/5 = 24/5 = 4.8

Now, we can substitute this value back into the expression:

-3 + 4.8 = 1.8

Therefore, the value assigned to x after the assignment statement is executed is 1.8, which is not an integer. Since x is declared as an int variable, it cannot hold a decimal value, so the correct answer is E) None of these.

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Since we previously found that a2 = 0, this leads to a contradiction.

Therefore, there are no entire functions satisfying the given conditions.

To find all entire functions f(z) satisfying the given conditions, we can use the power series representation of entire functions and manipulate the coefficients to match the given conditions.

Let's start by expressing the entire function f(z) as a power series:

f(z) = a0 + a1z + a2z² + a3z³ + ...

Since f(0) = 7, we have:

f(0) = a0 = 7

So, the power series representation of f(z) becomes:

f(z) = 7 + a1z + a2z² + a3z³ + ...

Now, let's differentiate the function f(z) and set S'(2) = 1:

f'(z) = a1 + 2a2z + 3a3z² + ...

f'(2) = a1 + 2a2(2) + 3a3(2)² + ... = 1

Since the power series representation of f'(z) is the derivative of f(z), we can match the coefficients:

a1 = 1

2a2 = 0

3a3 = 0...

From the equation 2a2 = 0, we can determine that a2 = 0.

Now, let's differentiate f'(z) to obtain f"(z):

f"(z) = 2a2 + 6a3z + ...

Since f"(z) = 7 for all z ∈ C, we have:

2a2 = 7

Since we previously found that a2 = 0, this leads to a contradiction.

Therefore, there are no entire functions satisfying the given conditions.

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The BODMAS rule is indeed an acronym used to recall the order of operations to be utilized while solving mathematical expressions, and the further calculation can be defined as follows:

Given:

\(\bold{ 7-24\div 8\times 4+6}\)

To find:

Simplification=?

Solution:

Using BODMOS rule

\(\to \bold{ 7-24\div 8\times 4+6}\\\\\to \bold{ 7-\frac{24}{8}\times 4+6}\\\\\to \bold{ 7-3\times 4+6}\\\\\to \bold{ 7-12+6}\\\\\to \bold{ 7-18}\\\\\to \bold{ -11}\\\\\)

Therefore, the final answer is "-11".

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Answer:

1 5/8

Step-by-step explanation:

3 1/2 = 3 4/8

3 (from 3/8) x 5 = 15/8

3 4/8 - 15/8 = 1 5/8

Answer:

Question 5: Reduction. 1/3

Question 6: Dilation. 2.5

Step-by-step explanation:

In 5 it's getting smaller, and it was 1/3 the size

In 6 it's getting bigger, and it was 2.5 times the size

pls brainliest :D

Answer:

C

Step-by-step explanation:

Answer:

most likely c

Step-by-step explanation:

There are 455 different three-student study groups that can be formed from a class of 15.

This situation involves determining the number of different three-student study groups that can be formed from a class of 15.

To determine whether this situation involves a combination or permutation, we need to consider if the order of selection matters or not, and if repetitions are allowed.

In this case, we are only concerned with forming study groups, and the order of selection does not matter. Additionally, it is assumed that each student can only be selected once for a study group.

Therefore, this situation involves a combination, specifically a combination of 15 students taken 3 at a time.

The formula to calculate the number of combinations is given by:

\(C(n, r) = n! / (r! * (n - r)!),\)

where n is the total number of items to choose from (in this case, the number of students in the class), and r is the number of items being chosen (in this case, the number of students in each study group).

Substituting the values into the formula:

C(15, 3) = 15! / (3! * (15 - 3)!) = 15! / (3! * 12!) = (15 * 14 * 13) / (3 * 2 * 1) = 455.

Therefore, there are 455 different three-student study groups that can be formed from a class of 15.

In summary, this situation involves a combination, and the number of different three-student study groups that can be formed from a class of 15 is 455.

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The difference between 6.761 x \(10^{12}\) and 4.1 x \(10^{12}\) is 2.661x \(10^{12}\).

Minuend and subtrahend are the terminology used in subtraction, while difference refers to the result. The minuend is the first number; it's the number you take things from, and it has to be bigger than the other numbers. The number being subtracted is known as the subtractend, and it must be the lower number.

Given that 6.761 x \(10^{12}\), 4.1 x \(10^{12}\)

We need to find the subtraction value of these expressions

Now 6.761 x \(10^{12}\) \(-\) 4.1 x \(10^{12}\)

    = 2.661x \(10^{12}\)

Therefore, the difference between 6.761 x \(10^{12}\) and 4.1 x \(10^{12}\) is 2.661x \(10^{12}\).

Hence, option (c) is correct.  

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Complete question

Find the difference of 6.761 x 10 ^12 and 4.1 x 10 ^12.

(a) 2.661 x 10 ^0

(b) 6.351 x 10 ^0

(c) 2.661 x 10 ^12

(d) 6.351 x 10 ^12

1) Three more than the quotient of sixteen and a number r

Quotient of sixteen and a number r is expressed as 16 / r

Three more than the quotient of 16 and r will be:

2) Five eights the difference of a number m and eleven

Difference of a number m and eleven can be expressed as m -11

Five eights the difference of a number m and eleven will be:

3) Sixty four less than the product of a number and ten.

Product of a number and ten

Let the number be m

Product of the number and ten = 10m

Sixty four less than the product of a number and ten will be:

4) The necklace n costs $200 more than twice the price if the earrings e.

Price of necklace = n

Price of earrings = e

Twice the price of the earrings = 2e

Necklace n costs $200 more than twice the price of the earrings e:

This can be expressed mathematically as:

The volume of the square pyramid in terms of x is (1/3) * x^4.

The volume V of a square pyramid can be calculated using the formula:

V = (1/3) * Base Area * Height

In this case, the base of the pyramid is a square with side length x, so the base area is given by:

Base Area = x^2

The height of the pyramid is given as x^2, so substituting these values into the volume formula, we have:

V = (1/3) * x^2 * x^2

Simplifying, we get:

V = (1/3) * x^4

Therefore, the volume of the square pyramid in terms of x is (1/3) * x^4.

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Answer:

Step-by-step explanation:

Let Harry = x

Tom = harry + 2

Tom = x + 2

Ben + 3 = harry

harry - 3 = ben

x - 3 = ben

Tom + harry + Ben = 65

x + 2 + x + x - 3 = 65

3x - 1 = 65                         Add 1 to both sides

3x = 65 + 1

3x = 66                             Divide by 3

x = 66/3

x = 22

So harry = 22 kg

After polygon STUV is reflected across the y-axis, the coordinates of point S' are (-2, 3).

Reflecting a polygon across the y-axis is a type of transformation in geometry that involves flipping the shape over the y-axis. When reflecting a polygon across the y-axis, the x-coordinates of all the points in the shape are multiplied by -1, while the y-coordinates remain the same.

In the case of polygon STUV, point S has coordinates (2, 3). When reflected across the y-axis, the x-coordinate becomes -2, while the y-coordinate remains 3. Therefore, the image of point S after the transformation, denoted as S', has coordinates (-2, 3).

It's important to note that reflecting a polygon across the y-axis is just one of many possible transformations in geometry. Other common transformations include translations, rotations, and dilations. These transformations can be used to explore the properties of shapes and to solve problems in geometry.

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Answer:

Step-by-step explanation:

cd(x) would equal c(x) multiplied by d(x) so we get \(\frac{5(x+3)}{x-2}\\\) = \(\frac{5x+15}{x-2}\\\).

The domain of \(\frac{5x+15}{x-2}\) is anything except 2, so the domain of (cd)(x) is (-inf, 2) U (2, inf).

Answer:

4/5 of a minute (48 seconds)

Step-by-step explanation:

Pierce swims 10 laps in 8 minutes. This means that the time it takes for him to swim each lap is 8 minutes divided by 10 laps (because that's the total time, and you split it amongst the ten laps). 8/10 simplified is 4/5 (divide numerator and denominator by 2). Hope that helps!

Answer:

x=5

Step-by-step explanation:

(5x+2)/3 = 9

Multiply each side by 3

(5x+2)/3 *3 = 9*3

5x+2 = 27

Subtract 2 from each side

5x+2-2 = 27-2

5x = 25

Divide by 5

5x/5 = 25/5

x =

The Big data characteristic which this mainly involve include the following: B. variety.

In Computer technology, Big data can be defined as large (huge) collections of data that are typically difficult for users to process, analyze, and manage through the use of conventional data tools or traditional database methods and tools.

In Computer technology, big data comprises five Vs and these include the following:

In conclusion, we can infer and logically deduce that variety is the characteristics of that this scenario describe because the team gathers the fans' personalized video clips, tweets, texts, and other posts to the team website.

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Complete Question:

The Mayberry mustangs, a minor league baseball team, recently upgraded their ability to collect data from their fans in order to draw people to their website. the team gathers the fans' tweets, texts, personalized video clips, and other posts to the team website. then they include them in a humorous mashup before each game. Which big data characteristic does this mainly involve? multiple choice question?

Volume

Variety

Veracity

Value

Answer:

polynomial is one. Because the zeros of a polynomial can be determined from the factors of a polynomial, the factors can be created from the zeros. For the zero which occurs at 2, 3 x x = -2/3, the factor which produced that zero is 2. 3 x §· ¨¸ ©¹ The multiplicity represents how many times that zero occurs, in other words, the degree of ...

Step-by-step explanation:

Answer:

94

Step-by-step explanation:

circumference of a circle is 2πr or πd with r being the radius or d being the diameter.

30 meters is the diameter, and 30π ≈ 94.2

Answer:

\(\fbox {D. ray}\)

Step-by-step explanation:

A part of a line that starts at one endpoint and extends forever in one direction is a ray.

Answer: D. Ray

Step-by-step explanation:

Let's do the process of elimination.

It's not A because there is only one line.

It is not B because a point is only a dot.

It is not C because a line extends forever from BOTH ends.

The correct answer is D because a ray starts on one endpoint and extends forever in one direction.

I hope this helps!! Pls mark brainliest!! :)