B
Name the obtuse angle
A
D
159 160 170
E

Answer:

5.) 13,841,287,201 x 2,401. 6.) 64⁴.

Step-by-step explanation:

PEMDAS requires parenthesis first, then exponents, then multiplication/division, and then addition/subtraction. For 5, lets find 7¹². According to my calculations, that is 13,841,287,201. Now for 7⁴. According to my calculations, that is 2,401. Now, we have 13,841,287,201 x 2,401. In math, an expression is a problem. If I solve it, it wouldn't be an expression, so I'll just leave it at that. For 6, we do the parenthesis first. 8² is 64. 64 to the fourth power is 16,777,216. If I solved it, it wouldn't be an expression, so we have to leave it at 64⁴. If you are wondering, 64⁴ is equal to 16,777,216. I hope this helps!

Answer:

Solution given:

x²+x-20=0

x²+5x-4x-20=0

x(x+5)-4(x+5)=0

(x+5)(x-4)=0

either.

x=-5

or

x=4

Step-by-step explanation:

x² + x -20 =0

or, x²+(5-4)x -20

or,x ²+5x -4x -20=0

or,x(x +5)-4(x+5)=0

or,(x+5)(x-4)=o

either,

x+5=0. x-4=0

or,x=0-5. or,x= 0+4

or,x=-5. or, x=4

hope it is helpful to you ☺️

The statistical relationship between variables is determined through statistical analysis methods, such as correlation analysis or regression analysis.

Correlation analysis and regression analysis are two common statistical methods used to determine the relationship between variables and identify predictive factors. Here's an explanation of each method:

Correlation Analysis: Correlation analysis is used to measure the strength and direction of the linear relationship between two continuous variables. It helps us understand how changes in one variable are associated with changes in another variable. The correlation coefficient, usually denoted as "r," quantifies the degree of correlation. It ranges between -1 and 1, where a positive value indicates a positive correlation, a negative value indicates a negative correlation, and a value close to zero indicates little to no correlation. Correlation analysis helps identify the presence and strength of a relationship between variables but does not imply causation.

Regression Analysis: Regression analysis goes beyond correlation analysis by modeling the relationship between variables and making predictions. It examines how one or more independent variables (predictors) are related to a dependent variable (outcome). The regression model estimates the impact of independent variables on the dependent variable and provides insights into the relationship's nature, significance, and predictive ability. There are different types of regression analysis, including simple linear regression, multiple regression, and logistic regression, depending on the type of variables involved.

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The minimum possible value of the European call option is approximately 2.8752.

Given the parameters S = 52 (current stock price), K = 50 (strike price), r = 24% (annual interest rate), and a time to maturity of 3 months, we can calculate the minimum call option value.

The Black-Scholes formula for European call option pricing is as follows:

C = S * N(d1) - K * e^(-r*T) * N(d2)

Where:

C = Call option price

S = Current stock price

N = Cumulative standard normal distribution function

d1 = (ln(S/K) + (r + σ^2/2) * T) / (σ * sqrt(T))

d2 = d1 - σ * sqrt(T)

K = Strike price

r = Annual interest rate

T = Time to maturity (in years)

e = Euler's number (approximately 2.71828)

σ = Implied volatility of the underlying asset

Using the provided values, we can calculate the minimum call option value as follows:

d1 = (ln(52/50) + (0.24 + 0^2/2) * (3/12)) / (0.24 * sqrt(3/12))

   = (ln(1.04) + 0.12 * 0.25) / (0.24 * 0.1443)

   = (0.0392 + 0.03) / 0.0346

   = 1.7507

d2 = 1.7507 - 0.24 * sqrt(3/12)

   = 1.7507 - 0.24 * 0.1443

   = 1.7507 - 0.0346

   = 1.7161

N(d1) = N(1.7507) ≈ 0.9599 (using standard normal distribution table)

N(d2) = N(1.7161) ≈ 0.9569 (using standard normal distribution table)

C = 52 * 0.9599 - 50 * e^(-0.24 * (3/12)) * 0.9569

 = 49.9152 - 50 * e^(-0.06) * 0.9569

 ≈ 49.9152 - 50 * 0.9408

 ≈ 49.9152 - 47.040

 ≈ 2.8752

Therefore, the minimum possible value of the European call option is approximately 2.8752.

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Answer: 90 degrees

Step-by-step explanation:

The hypotenuse is opposite the right angle, which is created by the two shortest sides.

Answer:

Step-by-step explanation:

1050km/hr

Answer:

1050km/hr

Hope this helped have an amazing day!

On solving the provided question, we can say that the domain and range will be as - domain = (2 , infinity ] and range = { 0 , infinity].

A function's domain is the range of potential values that it can accept. These numbers indicate the x-values of a function like f. (x). The range of potential values that can be utilised with a function is known as its domain. The value that the method returns after inserting the x value belongs to this set. The formula for a function with y as the dependent variable and x as the independent variable is y = f. (x). When a single value of y can be successfully produced from a value of x, that value of x is said to be in the domain of the function.

The domain includes all potential values. A function's independent variables can take any value, and its range encompasses all conceivable values. a function's dependant variables can have a variety of values.

\(p(x) = x(x-2)\\x(x-2) = 0\\x = 0 and x - 2 = 0\)

so, x = 2

the domain and range will be

domain = (2 , infinity ]

range = { 0 , infinity]

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Answer:

Steps below

Step-by-step explanation:

B: (2,6) (5,9) (7,9) (8,2)

C: (-3,2) (-6,5) (-6,7) (1,8)

1. Shape B take 90° counterclockwise rotation : (x,y) ==> (-y,x)

B': (-6,2) (-9,5) (-9,7) (-2,8)

2. Shape B' horizontal translation right 3 units : (x,y) ==> (x+3,y)

C: (-3,2) (-6,5) (-6,7) (1,8)

The common stock account balance for the company is $2,489,000

Given,

A balance sheet is a financial statement that lists a company's assets, liabilities, and shareholders' equity.

Common stock is the term for the asset, such as shares, that denotes ownership in a business.

The balance of the common stock account for Rogers Corp. is first determined by preparing the balance sheet as follows:

Rogers Corp.

Balance Sheet

For the year 2018

Particulars                                              $                         $            

Intangible Assets:

Patents and copyrights                                                690,000

Tangible Assets:

Net fixed assets                                                         4,500,000

Current Assets:

Cash                                                   410,000

Accounts receivable                          119,000

Inventory                                            285,000  

Total Current Assets                         814,000

Current Liabilities:

Accounts payable                            (410,000)

Notes payable                                 (180,000)  

                                                           590,000

Working Capital             (814,000 - 590,000)  =            224,000

Long-term Liabilities:

Long-term debt                                                          (1,530,000)

Net Total Assets    (4,500,000 + 814,000) - 1,530,000 = 3,784,000                                              

Now,

Common stock account balance of company =  Net total assets - Accumulated retained earnings = $3,784,000 - $1,295,000 = $2,489,000

Therefore,

Financed by:

Common stock (w.1)                                                2,489,000

Accumulated retained earnings                                1,295,000

Owners' Equity                                                         3,784,000  

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Answer:

a ray is like a corner, a line segment is a line with arrows, a point is like a line with points,

Step-by-step explanation:

x- intercept:  x = -1.33, y- intercept: y = log 4 + 2

Suppose that the line considered be of the form  y=f(x)

The equation for y-axis is x = 0

Thus, intersection between both the curves is obtained by putting x = 0 in the considered function.

We get x=0 and y=f(0)

Thus, the coordinate point of intersection with y-axis is (0,f(0))

And the equation for x-axis is y=0

Thus, its intersection with given function is at y= 0 and y such that

f(x)=0

Given equation,

y = log (3x+4) + 2,

For x - intercept,

y = 0,

0= log(3x+4) +2

-2= log(3x+4)

10^-2= 3x+4 (\(log_{m}\)a=b => a=m^b)

0.01= 3x+4

0.01-4=3x

x= -3.99= -1.33

For y-intercept,

x = 0,

y=log(3(0)+4)+2= log4+2

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To find Y-intercept, the x-value must be 0.

In the table you can see x = 0 and y = -4

so, the y-intercept of this line is (0 -4)

Hope it helps!

Answer:$7.5

Step-by-step explanation:

A particular solution to the nonhomogeneous differential equation is \(y_p = (1/17)x - (2/17)e^{(-x).}\)

To find a particular solution to the nonhomogeneous differential equation \(y'' + 4y' + 5y = -5x + 3e^{(-x)\), we can use the method of undetermined coefficients.

First, let's find a particular solution for the complementary equation y'' + 4y' + 5y = 0. The characteristic equation for this homogeneous equation is \(r^2 + 4r + 5 = 0\), which has complex roots: r = -2 + i and r = -2 - i. Therefore, the complementary solution is of the form \(y_c = e^(-2x)\)(Acos(x) + Bsin(x)).

Now, let's find a particular solution for the nonhomogeneous equation by assuming a particular solution of the form \(y_p = Ax + Be^{(-x)\). We choose this form because the right-hand side of the equation contains a linear term and an exponential term.

Taking the first and second derivatives of y_p, we have:

\(y_p' = A - Be^{(-x)\)

\(y_p'' = -Be^{(-x)\)

Substituting these derivatives into the original equation, we get:

\(-Be^{(-x)} + 4(A - Be^{(-x))} + 5(Ax + Be^{(-x))} = -5x + 3e^{(-x)}\)

Simplifying this equation, we obtain:

(-A + 4A + 5B)x + (-B + 4B + 5A)e^(-x) = -5x + 3e^(-x)

Comparing the coefficients on both sides, we have:

-4A + 5B = -5 (coefficients of x)

4B + 5A = 3 (coefficients of e^(-x))

Solving these equations simultaneously, we find A = 1/17 and B = -2/17.

Therefore, a particular solution to the nonhomogeneous differential equation is:

\(y_p = (1/17)x - (2/17)e^{(-x)\)

The general solution to the nonhomogeneous equation is the sum of the complementary solution and the particular solution:

\(y = y_c + y_p = e^{(-2x)}(Acos(x) + Bsin(x)) + (1/17)x - (2/17)e^{(-x)\)

where A and B are arbitrary constants.

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Answer:

8.85

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/9 can be a rational number.

Let me show you:

The Answer and/or 1 : 3 or 3 : 9.

Answer:

HOPE THIS HELPS!

Step-by-step explanation:

The Empirical Rule or 68-95-99.7% Rule gives the approximate percentage of data that fall within one standard deviation (68%), two standard deviations (95%), and three standard deviations (99.7%) of the mean. This rule should be applied only when the data are approximately normal.

The 68% of the data will fall between 20 and 100.

According to statistics, the empirical rule indicates that 99.7% of data in a normal distribution falls within three standard deviations of the mean. In order to do this, 68% of the observed data will fall within the first standard deviation, 95% within the second deviation, and 97.5% within the third standard deviation.

According to 68-95-99.7% Rule, often known as the empirical rule, indicates about what proportion of data are within one standard deviation (68%), two standard deviations (95%), and three standard deviations (99.7%) of the mean.

Only when the data are substantially normal should this rule be used.

Then, the values 20 and 100 will approximately 68% of the data.

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Option 'a' is the correct answer.

Z0.05 represents the z-score, the value of the standard normal distribution, at which the probability of being greater than that value is 0.05. The value is Z0.05 =1.65.

In a normal distribution, data points are referred to as x, whereas in a z-distribution, they are referred to as z or z scores. A z score is a standard score that indicates how many standard deviations a given number (x) is from the mean:

Every z score has a corresponding p-value that indicates the likelihood that all values below or above that z score will occur.

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Answer:

The Mean Absolute Deviation (MAD) of a set of data is the average distance between each data value and the mean. The mean absolute deviation is the "average" of the "positive distances" of each point from the mean. The larger the MAD, the greater variability there is in the data (the data is more spread out).

Step-by-step explanation:

Area of triangle = 1/2 bh

60 = 1/2 (15) h

8 = h

Quadrilateral area = h x (b1 + b2)/2 = 8 x (15+9)/2 = 96 sq units

96 -60 = triangle BAD area = 36 sq units

The length of side BC in the triangle BCD is 8.

An area is the amount of space occupied by a two dimensional shape or figure.

From the diagram:

Area of triangle BCD = (1/2) * base * height = (1/2) * CD * BC

60 = (1/2) * 15 * BC

BC = 8

The length of side BC in the triangle BCD is 8.

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Regression analysis asks a) how a single variable depends on other relevant variables. Regression analysis is a statistical approach that attempts to find a relationship between two variables. Hence, option a) is the correct answer.

The aim is to investigate how one variable depends on another or several other variables, as the case may be. It is used to understand and predict the relationships between variables that are not directly related. The technique can be used to test hypotheses about relationships between two or more variables.

The equation of the line is then used to predict the value of the dependent variable for any given value of the independent variable. Polynomial regression is used when the relationship between two variables is nonlinear. It is used to find the best-fit curve that passes through the data points. Multiple regression is used when there are two or more independent variables.

The goal is to find the best-fit line that passes through the data points in multidimensional space. Logistic regression is used when the dependent variable is dichotomous (binary). It is used to find the best-fit line that separates the two classes of data points.

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Answer:

a=30°; b=40°;c=40°; d=40°; e=110°: f=110°; g=30°; h=140°; i=70°; j=70°

Answer:

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

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

The total number of ways to split the group of 10 people into two groups of size 3 and one group of size 4 is 120 * 35 * 1 = 4,200. To split a group of 10 people into two groups of size 3 and one group of size 4, we can use the concept of combinations.

The number of ways to split the group can be calculated by determining the number of combinations of selecting 3 people from 10 for the first group, then selecting 3 people from the remaining 7 for the second group, leaving the remaining 4 people for the third group.

To split the group of 10 people into two groups of size 3 and one group of size 4, we can calculate the number of ways using combinations. The first group of size 3 can be formed by selecting 3 people from the total of 10 people. This can be represented as C(10, 3) = 10! / (3!(10-3)!).

Evaluating this expression:

C(10, 3) = 10! / (3! * 7!) = (10 * 9 * 8) / (3 * 2 * 1) = 120.

After selecting the first group, we are left with 7 people. From these 7 people, we need to select another group of size 3, which can be represented as C(7, 3) = 7! / (3!(7-3)!).

Evaluating this expression:

C(7, 3) = 7! / (3! * 4!) = (7 * 6 * 5) / (3 * 2 * 1) = 35.

Lastly, we have 4 people remaining, and they will form the third group of size 4. Since there is only one group left, there is only one way to assign the remaining 4 people to this group.

Therefore, the total number of ways to split the group of 10 people into two groups of size 3 and one group of size 4 is 120 * 35 * 1 = 4,200.

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The true solution of the logarithmic equation \(\ln e^{\ln x} + \ln e^{\ln x^2} = 2\ln 8\) will be 4.

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

The logarithmic equation is given as

\(\ln e^{\ln x} + \ln e^{\ln x^2} = 2\ln 8\)

We know that the formula

\(\ln e = 1\\\\\ln b^a = a \ln b\\\\\ln a + \ln b= \ln a +b\)

Then we have

\(\begin{aligned} \ln x \times \ln e + \ln x^2 \times \ln e = \ln 8^2\\\\\ln x + \ln x^2 = \ln 64\\\\\ln x*x^2 = \ln 64 \end{aligned}\)

Then take antilog, then we get

\(\rm x^3 = 64\\\\x^3 = 4^3 \\\\x \ =4\)

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Answer:

b, x=4

Step-by-step explanation:

edge 2022

Answer:

120

Step-by-step explanation:

An equilateral triangle has 3 sides. The exterior angle = 360 / 3 = 120

A square has 4 sides. Each exterior angle = 360 / 4 = 90

A regular n gon has n sides. The exterior angles will be 360/n

There are the steps you can take to complete the frequency table, construct a histogram, and construct a pie chart using the data provided in the table below:

| Score | Frequency |
|-------|-----------|
| 40-49 |     2     |
| 50-59 |     3     |
| 60-69 |     5     |
| 70-79 |     6     |
| 80-89 |     4     |

a. To complete the frequency table for the math test scores, simply count the number of scores that fall within each range (e.g. 40-49, 50-59, etc.). You can see that there are 2 scores between 40 and 49, 3 scores between 50 and 59, 5 scores between 60 and 69, 6 scores between 70 and 79, and 4 scores between 80 and 89.

b. To construct a histogram of the data, you will need to plot the frequency of each score range on a graph. The x-axis should show the score ranges (e.g. 40-49, 50-59, etc.) and the y-axis should show the frequency. Each bar on the histogram will represent a score range and its height will represent the frequency. Here is what the histogram would look like for this data:

```
8 |
  |
7 |
  |
6 |           ******
  |         *********
5 |       ***********
  |      ************
4 |     **************
  |    ****************
3 |  ******************
  | *******************
2 |********************
  --------------------
    40-49 50-59 60-69 70-79 80-89
```

c. To construct a pie chart of the data, you will need to calculate the percentage of scores that fall within each range. To do this, add up the frequencies for all the score ranges and divide each frequency by this total. Then, multiply by 100 to get the percentage. Here are the percentages for this data:

- 40-49: 10%
- 50-59: 15%
- 60-69: 25%
- 70-79: 30%
- 80-89: 20%

To create the pie chart, draw a circle and divide it into 5 sections, one for each score range. Each section should be labeled with the score range and its percentage. The size of each section should be proportional to its percentage. Here is what the pie chart would look like for this data:

```
       40-49 (10%)
        -----
      /       \
    /           \
50-59 (15%)   70-79 (30%)
    \           /
      \       /
        -----
       60-69 (25%)

           |
           |
       80-89 (20%)
```

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Answer:

27.999999993 or 27.9 or 28 (rounded) miles.

Step-by-step explanation:

Find out how many miles he goes every minute.

(1.6 ÷ 12 = 0.13 recurring (0.1333333333)

3.5 hours = (60 × 3) + 30 = 210 minutes

Multiply 0.13 recurring (0.1333333333) by 210 mins.

210 × 0.13 recurring (above number) = 27.999999993 (You can round this up to the nearest whole number), which is 28 if the question asks you to but as it uses 1.6 miles, you can leave it as 27.9 or even leave the long decimal if you're not entirely sure.

Hope this helps. :)

There are 27,720 different arrangements of red and yellow roses.

The total number of roses is 8 + 4 = 12. To find the number of different arrangements, we can use the formula for permutations, which is:

n! / (n - r)!

where n is the total number of objects and r is the number of objects we want to arrange.

In this case, we want to arrange all 12 roses, so n = 12. The number of red roses is 8, so r = 8. Therefore, the number of different arrangements of the roses is:

12! / (12 - 8)! = 12! / 4! = 27,720

So there are 27,720 different arrangements of the 8 red roses and 4 yellow roses.

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