Which function is graphed?
-8 -6 -4
8
6
4
2
199
-2 0
-2
-4
-6-
-8
O
●
2 4
6
8

To determine all the points that lie on the elliptic curve y2 = x3 x 28 over Z71, we can simply substitute all possible values of x in the equation and check whether there exists a corresponding y that satisfies the equation.

First, we need to find all the nonzero elements of Z71. Since 71 is a prime number, Z71 is a finite field of order 71. Therefore, the nonzero elements of Z71 are {1, 2, 3, ..., 70}.

Next, we can substitute each value of x from the set of nonzero elements of Z71 into the equation y2 = x3 x 28 and check whether there exists a corresponding y that satisfies the equation.

If there is no corresponding y, we discard the point (x, y) as not lying on the curve. If there is a corresponding y, we keep the point (x, y) as a point on the curve.

Here is a table of all the points on the curve:

x y

0 0

1 50

2 49

3 26

4 34

5 16

6 33

7 25

8 28

9 53

10 31

11 52

12 56

13 38

14 27

15 45

16 22

17 39

18 12

19 13

20 19

21 43

22 35

23 57

24 40

25 60

26 41

27 61

28 47

29 46

30 18

31 48

32 64

33 10

34 68

35 20

36 15

37 24

38 55

39 65

40 44

41 67

42 54

43 37

44 69

45 11

46 51

47 21

48 58

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A total of 55.86 minutes have gone by since Greg started his run on the treadmill.

If Greg has completed 57% of his run, it means he has 43% of his run remaining.

To find out how many minutes have gone by, we can use proportions.

Let's say x is the total number of minutes Greg needs to complete his run:

x = 57% * 98 minutes

Evaluate

x =  minutes

Therefore, approximately 55.86 minutes have gone by since Greg started his run on the treadmill.

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Answer:

3 i belive  100 pecent tho

Step-by-step explanation:

The total amount lost by the company is the product of the number of tubes given away and the cost per tube, which is $1015

Given the Parameters :

The number of free tubes given away can be calculated thus :

Total Number of tubes given away = 140 tubes of paint

Total amount lost = Cost per tube × number given away

Therefore, the total amount lost during the giveaway is $1015

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Answer:

That will be 1/14 points

Step-by-step explanation:

==============================================

Work Shown:

1/4 = 0.25

1 & 1/4 = 1 + 1/4 = 1 + 0.25 = 1.25

The stock dropped by 1.25 points each day for 5 days

It dropped a total of 5*1.25 = 6.25 = 6 & 1/4 points.

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

Alternative method:

5*(1 & 1/4) = 5*(1 + 1/4)

5*(1 & 1/4) = 5*1 + 5*(1/4)

5*(1 & 1/4) = 5 + 5/4

5*(1 & 1/4) = 5*(4/4) + 5/4

5*(1 & 1/4) = 20/4 + 5/4

5*(1 & 1/4) = (20+5)/4

5*(1 & 1/4) = 25/4

5*(1 & 1/4) = (24+1)/4

5*(1 & 1/4) = 24/4 + 1/4

5*(1 & 1/4) = 6 + 1/4

5*(1 & 1/4) = 6 & 1/4

We get the same answer as before.

The probability that the person chosen at random is a boy is 8/13 and the probability that they are between 120 cm and 130 cm tall is 6/10.

Polygon is a closed figure that consists of three or more straight lines. It is a two-dimensional shape with straight sides and angles. Polygons are used to construct many shapes in geometry such as triangles, rectangles, squares and many more. Polygons are used in many fields such as computer graphics, navigation, engineering and architecture.

The frequency polygon show that there are more boys than girls in the class. This can be seen from the higher peak on the boys side of the graph. The total number of boys is 8 and the total number of girls is 5. This gives us a probability of 8/13 that the person chosen at random is a boy.

To work out the probability that the person is between 120 cm and 130 cm tall, we must first count the number of individuals in the class in this height range. From the graph, we can see that there are 6 boys and 4 girls in this range. This gives us a probability of 6/10 that the person chosen at random is between 120 cm and 130 cm tall.

In conclusion, the probability that the person chosen at random is a boy is 8/13 and the probability that they are between 120 cm and 130 cm tall is 6/10.

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When two tables have a one-to-many relationship, you typically need to add a foreign key to the table on the "many" side to link the records to the corresponding record in the "one" table.

In a one-to-many relationship, the table on the "one" side is usually the primary key table, and the table on the "many" side is usually the foreign key table. The foreign key is used to link the records in the "many" table to the corresponding record in the "one" table. This is done by adding a column to the "many" table that contains the primary key value from the "one" table.

When designing a database, it is important to establish relationships between tables to ensure data integrity and avoid redundant data. In a one-to-many relationship, one record in the primary key table can be associated with many records in the foreign key table. To establish a one-to-many relationship, you need to create a primary key in the "one" table and a foreign key in the "many" table. The foreign key is a column that contains the primary key value from the "one" table. For example, if you have a "customers" table and an "orders" table, the "customers" table would be the primary key table and the "orders" table would be the foreign key table. Each record in the "orders" table would have a foreign key column that contains the customer ID from the "customers" table.

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Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

Answer:

cube = axaxaxaxaxaxa

following 6x6x6x6x6x6x6 = 7776ft^3

Step-by-step explanation:

Answer:

The annual profits will be 2187.5

Step-by-step explanation:

p(x) = 65x - 0.3x^2

I am guessing that the 2 was supposed to be a square.

Simply plug in the number of pies sold:

p(175) = 65(175) - 0.3(175)^2 = 11375 - 0.3*30625 = 11375 - 9187.5 = 2187.5

some of the group means are different, but not which pairs of groups.

Answer:

4 times greater

Step-by-step explanation:

Answer:

Part B: $4.25 tax / Part A: The first Equation,  85 x 1.09 + x = 96.90

Step-by-step explanation:

Part A: She bought 85 songs. The amount of songs times the amount of tax is the total amount of money she spent. X represents the number of dollars. So that's how I got my equation.

Part B explanation: 85 x 1.09 + x = 96.90

                                     x = 4.25

To increase usability in a spreadsheet, you can use comments, descriptive labels, and data validation.

To increase usability in a spreadsheet, you can utilize the following techniques:

1. Comments: Comments allow you to add explanatory notes or instructions within cells. They can provide additional context or clarify the purpose of certain data or formulas. Users can view comments by hovering over the respective cell, making it helpful for collaboration and documentation.

2. Descriptive Labels: Instead of relying solely on cell references or generic labels, use descriptive labels that clearly indicate the purpose of each column, row, or range of cells. This approach enhances readability and makes it easier for users to understand the data and navigate through the spreadsheet.

3. Data Validation: Implement data validation rules to ensure the accuracy and integrity of the data entered into the spreadsheet. Data validation allows you to define constraints or conditions for input, such as numeric ranges, predefined lists, or specific text formats. It helps prevent errors and assists users in entering valid data.

4. Formatting: Properly formatting the cells, columns, and rows can greatly enhance usability. Use consistent formatting for similar types of data, apply color schemes or conditional formatting to highlight important information or trends, and adjust the column widths and row heights to optimize readability.

5. Sheet Organization: Organize the spreadsheet by using multiple sheets if needed. Group related information on separate sheets, and provide clear sheet names that reflect the content or purpose of each sheet. This helps users locate and navigate to specific sections or data within the spreadsheet.

6. Clear Instructions or Documentation: Provide clear instructions or documentation either within the spreadsheet or as separate documentation. Explain the purpose of the spreadsheet, any specific procedures or workflows, and how to interpret the data or use any embedded formulas or macros. This helps users understand the spreadsheet's functionality and ensures consistent usage.

7. Error Handling: Implement error handling mechanisms to provide informative error messages or alerts when users input incorrect or incompatible data. Clear error messages guide users in correcting their input and reduce frustration when dealing with potential errors.

By incorporating comments, descriptive labels, data validation, formatting, sheet organization, clear instructions/documentation, and error handling, you can significantly enhance the usability of your spreadsheet and make it more user-friendly for both yourself and others who interact with it.

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The vector component of u orthogonal to v is (821/113)i - (56/113)j.

(a) The projection of u onto v can be found using the formula: proj_v u = (u . v / ||v||^2) * v, where "." denotes the dot product and "||v||" denotes the magnitude of v.

First, we find the dot product of u and v:

u . v = (3i + 4j) . (8i + 7j)

= 3(8) + 4(7)

= 44

Next, we find the magnitude of v:

||v|| = sqrt((8)^2 + (7)^2)

= sqrt(113)

Finally, we can use the formula to find the projection of u onto v:

proj_v u = (44 / 113) * (8i + 7j)

= (352/113)i + (308/113)j

Therefore, the projection of u onto v is (352/113)i + (308/113)j.

(b) The vector component of u orthogonal to v can be found by subtracting the projection of u onto v from u:

u - proj_v u = (3i + 4j) - ((352/113)i + (308/113)j)

= (821/113)i - (56/113)j

Therefore, the vector component of u orthogonal to v is (821/113)i - (56/113)j.

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The mean is 172, the variance is 34.4, and the standard deviation is 5.86.

The United States has a system of bicameralism, which means that each state has two chambers in its legislature: a lower chamber (such as the Assembly or House of Representatives) and an upper chamber (such as the Senate).

The number of constituents per district in each chamber varies from state to state, and it is usually determined by the state's constitution or by a state redistricting commission.

As of the 2010 census, Texas had about 811,147 constituents per state senate district.

However, this is not the highest number of constituents per senator among all the states.

In fact, the state with the highest number of constituents per senator is California.

According to the U.S. Census Bureau, as of the 2010 census, California had a population of approximately 37.3 million people.

The state's constitution provides for 40 state senators, which means that each senator represents approximately 933,000 constituents.

This is significantly higher than the number of constituents per senator in Texas.

The high number of constituents per senator in California can be attributed to the state's large population and the fact that the number of state senators has not kept up with population growth.

The last time the number of state senators in California was increased was in 1973, when the state's population was around 20 million people.

In conclusion, while Texas has a high number of constituents per state senate district, it is not the only state with a high number of constituents per senator.

California has a significantly higher number of constituents per senator, due to its large population and the fact that the number of state senators has not kept up with population growth.

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Answer:

11

Step-by-step explanation:

the answer is 11 because of therom

The magnitude d of vector y is 2, and the angle θ from the positive x-axis to the position of vector y is 42 degrees.

In order to find the magnitude d, we need to calculate the distance between points P(0, 4) and Q(-3, 5). Using the distance formula, we have:

d = √[(x2 - x1)^2 + (y2 - y1)^2]

= √[(-3 - 0)^2 + (5 - 4)^2]

= √[9 + 1]

= √10

≈ 3.16

Therefore, the magnitude of vector y, d, is approximately 3.16.

To find the angle θ, we can use the arctan function with the ratio of the vertical change to the horizontal change. In this case, the vertical change is 5 - 4 = 1, and the horizontal change is -3 - 0 = -3. Thus,

θ = arctan(1 / -3)

≈ -18.43 degrees

However, since we are looking for the angle from the positive x-axis, we need to add 180 degrees to the result:

θ = -18.43 + 180

≈ 161.57 degrees

Therefore, the angle θ from the positive x-axis to the position of vector y is approximately 161.57 degrees.

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Although  MEO satellites are the most expensive to build and launch, they also have the longest orbital life of many years.

What does MEO satellite mean?

Unlike low earth orbit (LEO) and geostationary earth orbit (GEO) satellites, medium earth orbit (MEO) satellites orbit the earth at an altitude between the two.

Why would one use MEO?

GPS and other navigational apps have previously used MEO. Service providers, governmental organizations, and commercial firms can now access low-latency, high-bandwidth data communication thanks to the deployment of HTS MEO constellations.

What kind of satellites can you find in MEO?

The O3b and upcoming O3b mPOWER constellations are among the communication satellites in MEO for telecommunications and data backhaul to maritime, aviation, and remote locations.

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Answer:

B. The slope of g(x) is less than the slope of f(x)

Step-by-step explanation:

The slope of f(x) is 2/1 or just 2 and the slope of g(x) is 1/2, less than f(x).

Answer:

B.

Step-by-step explanation:

Answer:

50 min 5 hours

Step-by-step explanation:

Answer: 6 hours and 50mins

Step-by-step explanation:

Comparing the effective rates, we find that option B has a higher effective rate (5.665%) compared to option A (5.344%). Therefore, option B is the better choice in terms of earning higher interest on the loan.

To find the effective rate for option A, we need to consider the compounding period and calculate the annual percentage yield (APY).

Option A earns 5.2% interest, compounded monthly. We can use the formula for APY:

APY = (1 + r/n)^n - 1

Where r is the nominal interest rate and n is the number of compounding periods per year.

Substituting the values for option A:

r = 5.2% = 0.052

n = 12 (monthly compounding)

APY = (1 + 0.052/12)^12 - 1

Calculating this expression yields an APY of approximately 5.344%.

Similarly, for option B, the effective rate can be found using the same formula but with different values for the compounding period:

Option B earns 5.6% interest, compounded quarterly:

r = 5.6% = 0.056

n = 4 (quarterly compounding)

APY = (1 + 0.056/4)^4 - 1

Calculating this expression yields an APY of approximately 5.665%.

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Banu is building a fence around a rectangular 30-foot-by-25-foot play area. She needs to determine the cost of fencing if it costs $4.05 per foot. In order to do this, she needs to know the total perimeter of the rectangular play area.P = 2L + 2Wwhere P is the perimeter, L is the length and W is the width.

Substituting L = 30 and W = 25:P = 2(30) + 2(25)P = 60 + 50P = 110Therefore, the total perimeter is 110 feet. To determine the cost of fencing, multiply the perimeter by the cost per foot:Total cost = Perimeter × Cost per footTotal cost = 110 × $4.05Total cost = $445.50Therefore, it will cost Banu $445.50 to completely surround the play area with fencing. The cost of fencing for Banu to completely surround the play area is $445.50.

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According to the question this equation represents a single point in the xy-plane, and does not have a constant rate of change. It doesn't have a linear function as a result.

When the roots and solutions of two equations match, they are said to be equivalent. The same number, symbols, or expression must be added to or subtracted from both the equation's two sides to produce an equivalent equation. By multiplying or dividing both sides of an equation by a nonzero number, we can also obtain an analogous equation.

Equation representing a linear function:

Y is equivalent to x plus 5 times the negative one-fourth.

Linear functions have a constant rate of change, which means that as x increases or decreases by a certain amount, y also changes by a constant amount. The equation y equals negative one fourth times x plus 5 has a constant slope of negative one fourth, which means that for every increase of one in x, y will decrease by one fourth. This is a characteristic of a linear function.

The equation y equals two thirds times x squared represents a quadratic function, which has a curved graph.

The equation x = 5 is a linear equation, but it only represents a vertical line passing through x = 5. It does not have a slope or a y-intercept, which are necessary for a linear function.

The equation 2x + 7 = 12 can be simplified to a linear equation of the form y = mx + b by solving for y:

2x + 7 = 12

2x = 5

x = 5/2

Substituting x = 5/2 back into the equation gives:

y = 2(5/2) + 7 = 12

This equation represents a single point in the xy-plane, and does not have a constant rate of change. Therefore, it is not a linear function.

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Answer:

Step-by-step explanation:

1 .

step 1:  multiply the 5 to the bracket =5p+10-p

step 2 : subtract the p from the 5 p =5p-p+10 = 4p+10

2.

step 1 : multiply the 3 to the bracket = 8h + 12h-18

step 2: add the 8h to the 12h  = 20h - 18

3.

multiply the 4 to the bracket = 4x+32 +9x

add 4 x to 9 x = 13x +32

4.

multiply the 2 to the bracket = 6y +8 +9

add the 8 to the 9 = 6y + 17

5.

multiply to six to the bracket =9x + 12x +18

add the 9 and 12 x = 21x+18

6 .

multiply the 3 to the bracket = 9m + 3 +2m

add the 9m to 2m = 11m+ 3

7.

multiply the 2 to the bracket = 2r + 18 -6

subtract the 18 from the six = 2r +12

8 .

multiply the five to the bracket = 15 d + 40

9.

multiply the 4 to the bracket = 8m+8+3m

add the 8 m to the 3 m = 11m + 8

10 .

multiply the 10 to the bracket= 5y +20 +10 y

add the 5y and the 10 y = 15y + 20

:)

hope u understood and not just copied and pasted

The radius of the pool is 9.01 m.

Given,

In the question:

A circular pool is surrounded by a brick walkway 3 m wide.

The area of the walk- way is 198 m^2.

To find the Radius of the pool.

Now, According to the question:

"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".

Let R = Radius of the pool

Area of the circle bounded by the outside edge of the walkway is:

\(\pi\)(R +3)^2

Area of the pool is:

\(\pi R^2\)

Now, Our equation is:;

\(\pi\)(R +3)^2 - \(\pi R^2\) = 198

\(\pi\)((R+3)^2 - \(R^2\)) = 198

Open the inner bracket :

\(\pi\)(\(R^2+6R+9-R^2\)) = 198

\(\pi\)(6R +9) = 198

6R+9 = 198/\(\pi\)

6R = 198/\(\pi\) - 9

R = (198/\(\pi\) - 9)/6

R = (198/(3.14) - 9)/6

R = (63.057 - 9)/6

R = 54.057/6

R = 9.01 meters

Hence, The radius of the pool is 9.01 m.

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Answer:

Graph on the top right.

Step-by-step explanation:

A function is a relation where one domain value is assigned to exactly one range value.

In a table, there would be no values repeating in the x-column.

The graph on the top right does not repeat any x values. Therefore, it is a function.

Why the other options are not functions:

Hope this helps.

Answer:

Real Part = -5

Imaginary part = -1

Step-by-step explanation:

We need to describe each part of the complex number: \(-5-i\)

Complex Number

A complex number is of form \(a+bi\) where a is real part while b represents the imaginary unit.

In the given complex number: \(-5-i\)

Real Part = -5

Imaginary part = -1

Answer:

Step-by-step explanation:

As,

- 0.0084

When estimated,

= - 0.008

\( = \frac{ - 8}{1000} \)

Then,

\( - 8 \times \frac{1}{1000} \)

\( = - 8 \times {10}^{ - 3} \)

Here,

Power of ten as observed is -3