Given that 3 is a primitive root modulo 25; Find a primitive root modulo 250

The width of the parking lot is 78 m

We have been given the perimeter of a rectangular parking lot which is equal to 350 m.

We know the perimeter of a rectangular plot is 2 X (width of the plot ) + 2 X (length of the parking lot ).

And the length of the parking lot is given as 97 m.

2 X (width of the plot ) +2 X (length of the parking lot ) =350 m

2 X (width of plot ) + 2 X 97 =350

2 X (width of the plot ) =156 m

width of the plot = 78 m

Hence the width of the plot is 78 meters.

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The width of this rectangular parking lot is equal to 78 meters.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following:

P = 2(L + W)

350 = 2(97 + W)

175 = 97 + W

Width, W = 175 - 97

Width, W = 78 meters.

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The correct option is A: the probability distribution for the winning ticket:

1          2        3       4      5      6       7       8       9      10

0.10  0.10  0.10  0.10  0.10  0.10  0.10  0.10  0.10  0.10

A frequency distribution that has been idealised is a probability distribution.

Total people = 10 (1 - 10)

One ticket is selected at random from each person.

As the selection is independent events of each other, each will have the same probability.

So,

probability = favourable outcome / total outcome.

probability = 1/10

probability = 0.10.

Thus, the correct option is A: the probability distribution for the winning ticket:

1          2        3       4      5      6       7       8       9      10

0.10  0.10  0.10  0.10  0.10  0.10  0.10  0.10  0.10  0.10

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Answer: its 41 dude

Given:

If you divide any natural number n by 4, you get a remainder r.

To find:

The values of r if \(n=13;34;43;100\). Also find the domain and range.

Solution:

It is given that any natural number n by 4, you get a remainder r.

\(\dfrac{n}{4}=q+\dfrac{r}{4}\)

Where, n is a natural number, q is quotient, r is the remainder.

For \(n=13\),

\(\dfrac{13}{4}=3+\dfrac{1}{4}\)

So, \(r=1\).

For \(n=34\),

\(\dfrac{34}{4}=8+\dfrac{2}{4}\)

So, \(r=2\).

For \(n=43\),

\(\dfrac{43}{4}=10+\dfrac{3}{4}\)

So, \(r=3\).

For \(n=100\),

\(\dfrac{100}{4}=25+\dfrac{0}{4}\)

So, \(r=0\).

Therefore, the required value are \(r=1,2,3,0\) if \(n=13;34;43;100\) respectively.

The domain of the function is \(\{13,34,43,100\}\) and the range of the function is \(\{1,2,3,0\}\).

Answer:

12 to 21

bc 21/7 = 3, 3x4=12

Answer:

12

Step-by-step explanation:

multiply by the same number it took to get from 7 to 21 which is 3

Please mark brainliest

The probability that the mean weight of the 17 fruits will be between 489 grams and 500 grams is approximately 0.0322 - 0.0322 = 0.0000 (rounded to four decimal places).

The probability that the mean weight of 17 randomly picked fruits falls between 489 grams and 500 grams can be calculated using the Central Limit Theorem.

The mean weight of the 17 fruits will follow a normal distribution with a mean equal to the population mean (494 grams) and a standard deviation equal to the population standard deviation divided by the square root of the sample size (√17).

First, we calculate the z-scores for the lower and upper bounds:

Lower z-score:

z_lower = (489 - 494) / (8 / √17)

Upper z-score:

z_upper = (500 - 494) / (8 / √17)

Then, we use a standard normal distribution table or a calculator to find the probabilities associated with these z-scores. The probability that the mean weight falls between 489 grams and 500 grams is equal to the difference between these two probabilities.

Let's calculate the probabilities:

z_lower = (489 - 494) / (8 / √17) ≈ -1.8409

z_upper = (500 - 494) / (8 / √17) ≈ 1.8409

Using a standard normal distribution table or a calculator, we find that the probability corresponding to z_lower is approximately 0.0322 and the probability corresponding to z_upper is also approximately 0.0322.

The problem presents a normal distribution of fruit weights, with a given mean of 494 grams and a standard deviation of 8 grams. When we randomly select a sample of 17 fruits, the mean weight of this sample will also follow a normal distribution. According to the Central Limit Theorem, as the sample size increases, the distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

In this case, since the range is relatively narrow and the sample size is moderate, the probability of the mean weight falling between 489 grams and 500 grams is quite low, approximately 0.0000.

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script in Python that uses the input() function to read a string, an integer, and a float from the user, and then displays

The input in the desired format:

# Read user input

name = input("Enter your name: ")

age = int(input("Enter your age: "))

income = float(input("Enter your income: "))

# Display output

output = f"{name} is {age} years old and their income is {income}"

print(output)

the inputs, it will display the output in the format "Name is age years old and their income is income". For example:

Enter your name: Mark

Enter your age: 30

Enter your income: 2000000

Mark is 30 years old and their income is 2000000.0

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First term = a= -10

common difference=d= -8+10 = 2

n= 98

the 98th term = a+(n-1)d = -10+ (98-1)2

= -10+(97)2 = -10 +194

=184

98th term of the given arithmetic sequence is 184.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.

The given arithmetic sequence is -10, -8, -6,......

Here, a=-10, d=-8-(-10) = 2

So, aₙ=-10+(n-1)×2

aₙ=-10+2n-2

aₙ=2n-12

a₉₈=2×98-12

a₉₈=184

Therefore, 98th term of the given arithmetic sequence is 184.

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Answer:

2 × 7 =14

Step-by-step explanation:

step by step that is the answer

Answer:

118

Step-by-step explanation:

1101101=109

1001=9

109+9=118

Answer:

Its A

Step-by-step explanation:

common sence

The maximum point on the curve of the function f(x) = e^(ax)^2, where a > 0, occurs at x = 0.

To find the maximum points of the function f(x) = sin(sin(x)), we need to determine the solutions of cos(cos(x)) = 0.

The correct option for finding the maximum points is option b. cos(sin(x)) = 0.

To find the maximum points of the function f(x) = sin(sin(x)), we need to find the values of x where the inner sine function, sin(x), is equal to 1 or -1. This occurs when x = (2n + 1)π/2, where n is an integer.

Therefore, the maximum points on the curve of f(x) = sin(sin(x)) occur at x = (2n + 1)π/2, where n is an integer.

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Answer: x=67, y=23

Here are our 2 equations

x+2=3y

x+y+90=180

Simplifying,

x+2=3y

x+y=90

Now that we know this, we can use the 2nd equation to find x in terms of y,

x=90-y

and substitute in the first equation.

(90-y)+2=3y

=>92-y=3y

=>4y=92

=>y=23

So x=90-23

=>x=67

HOPE THIS HELPS

Answer:

Im so sorry, I dont know the answer and accidentally clicked on it. It wont let me get out of this... SO SORRY!

Step-by-step explanation:

none

Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

What is matrix ?

A matrix is a rectangular array of numbers or other mathematical objects, typically arranged in rows and columns. Matrices are often denoted using capital letters, such as A, B, and C. Each element of a matrix is identified by its row and column indices,

1) False, If two row interchanges are made in succession, the determinant of the new matrix is the negative of the determinant of the original matrix.

2) False, If the determinant of a matrix is zero, it does not necessarily mean that two rows or two columns are the same or a row or column is zero, it only means that the matrix is singular, i.e. non-invertible and it also can mean that the matrix is linearly dependent.

3) False, The determinant of a matrix is not always equal to the product of the diagonal entries, it is a scalar value calculated through a specific method called matrix expansion which is based on the entries of the matrix and it depends on the size of the matrix.

4) False, The determinant of a matrix is a scalar value, it cannot be equal to another matrix.

Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

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Hi!! :D

Answer:

I got 177.46

Step-by-step explanation:

I just used a surface area calculator!

So sorry if this is wrong!

Have a great day! <3

Answer:

0.375

Step-by-step explanation:

-3x+14-11+11x

-3x+11x = 8x

14-11 = 3

8x=3

÷8 on both sides

Given:

Y-intercept of exponential function is 8.

It contains the point (3,64).

To find:

The exponential function that describes the graph.

Solution:

The general form of an exponential function is

\(y=ab^x\)      ...(i)

where, a is initial value or y-intercept and b is growth factor.

Since, y-intercept is 8, therefore, a=8.

Put a=8 in (i).

\(y=8b^x\)         ...(ii)

It contains the point (3,64). Put x=3 and y=64.

\(64=8b^3\)

Divide both sides by 8.

\(\dfrac{64}{8}=b^3\)

\(8=b^3\)

\(2^3=b^3\)

On comparing both sides, we get

\(b=2\)

Put b=2 in (ii).

\(y=8(2)^x\)

The functions form of this equation is

\(f(x)=8(2)^x\)

Therefore, the required function is \(f(x)=8(2)^x\).

Answer: Do you have a picture

Step-by-step explanation:

Answer:

2,4

i did it and go it right

The local maximum is (2,4)

A coordinate plane is a graphing and description system for points and lines.

By the given details,

Using the graphing calculator,

The local maximum is (2,4)

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Mean =sum of observations/ no.of observations

Mean=8+11+7+11+4+13/6

=54/6

mean=9

The mean difference in the game scores over six games is 2.5

The mean difference measures the absolute difference between the mean value in two different groups.

Given is a basketball team which played six games such that in those games, the team won by 8 points, lost by 11, won by 7, won by 11, lost by 4, and won by 13 respectively.

The mean difference of the given data can be calculated using the following formula -

Mean Difference = (∑W / n) - (∑L / n)

Where -

(∑W / n) is the mean of games won.

and

(∑L / n) is the mean of games lost.

(∑W / n) = (8 + 7 + 11 + 13)/4 = 9.75

and

(∑L / n) = (11 + 4)/2 = 15/2 = 7.5

Mean difference =  (∑W / n) - (∑L / n) = 9.75 - 7.5 = 2.5

Therefore, the mean difference in the game scores over six games is 2.5

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The value of the expression "true && !false" can be determined by evaluating each part separately and then combining the results.

1. The "!" symbol represents the logical NOT operator, which negates the value of the following expression. In this case, "false" is negated to "true".

2. The "&&" symbol represents the logical AND operator, which returns true only if both operands are true. Since the first operand is "true" and the second operand is "true" (as a result of the negation), the overall expression evaluates to "true".

Therefore, the value of the expression "true && !false" is "true".

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The innovation that was made possible in part because of the Carterfone decision in 1968 is the public Internet. The correct answer is option C

The Carterfone decision was a landmark ruling by the Federal Communications Commission (FCC) that allowed for the interconnection of third-party devices to the telephone network. Prior to this decision, telephone companies had a monopoly on the equipment that could be used on their networks, and customers were not allowed to attach their own devices.

This decision paved the way for the development of the public Internet by allowing for the interconnection of third-party devices to the telephone network, which enabled the creation of new technologies, such as modems. Without the Carterfone decision, the public Internet as we know it today may not have been possible.

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Substituting back x in the final expression we get:∫tan (x/b) dx = -b ln|cos (x/b)| + C The required integral is -b ln|cos (x/b)| + C, where C is the constant of integration.

We are required to find the integral of ∫tan (x/b) dx given that b is a positive real number constant.Step 1: First we need to substitute u

= x/b then we have x

= bu Therefore, dx

= b du.Step 2: Now we replace x and dx in the given integral, we have:∫tan (x/b) dx

= ∫tan u * b du. Using the integration by substitution rule,∫tan u * b du

= -b ln|cos u| + C, where C is the constant of integration.Substituting back x in the final expression we get:∫tan (x/b) dx

= -b ln|cos (x/b)| + C The required integral is -b ln|cos (x/b)| + C, where C is the constant of integration.

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Either the slope intercept form or the point-slope form can be used to express the equation of a line-, the line's equation is - 3x - 5.

A line's steepness and direction are measured by the line's slope.

Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

Any two distinct points on a line can be used to calculate the slope of any line.

The ratio of "vertical change" to "horizontal change" between two different points on a line is calculated using the slope of a line formula.

According to our question-

the points are given as

(x1,y1)=0,-5

(x2,y2)=-3,4

m = y2-y2/x2-x2

Hence, the line's equation is - 3x - 5.

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The problem of changing the word s into the word t can be stated in terms of finding a path in this graph from vertex s to vertex t, where each intermediate vertex (word) in the path differs from the previous one by only one character and belongs to D.

a. To model this as a graph problem, we can treat each word in the dictionary D as a vertex in the graph. Then, we can create an edge between two vertices (words) if they differ by only one character. For example, there would be an edge between 'hit' and 'hot', as they differ by only one character ('i' and 'o'). The problem of changing the word s into the word t can be stated in terms of finding a path in this graph from vertex s to vertex t, where each intermediate vertex (word) in the path differs from the previous one by only one character and belongs to D.

b. To construct the graph, we can iterate through all pairs of words in D and check if they differ by only one character. This takes O(n²) time. Once we have identified the edges in the graph, the size of the graph is also up to O(n²), since there can be at most n vertices and n² edges (when every vertex is connected to every other vertex). Therefore, constructing the graph takes O(n²) time, and the size of the graph is up to O(n²).

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Answer:

28, 35, 42 are consecutive multiples of 7.

95, 100, 105 are consecutive multiples of 5

a(n), a(n+1), a(n+2) are consecutive multiples of a.

Take a list of numbers that all have the same factor in common, divide it out. The result should be consecutive numbers.

28, 35, 42 can be divided by 7, the results are 4, 5, and 6. These are consecutive numbers.

95, 100, 105 can be divided by 5, the results are 19, 20 and 21. These are consecutive numbers.

Answer: 113

Step-by-step explanation:

Eg: 226

226 - 113 = 113

All consecutive multiples will always have a difference of 113 because that's what the table is about!