(sin30°+cos60°)(tan60°-sec30°)​

Answers

Answer 1
1. Use the trigonometric values table or unit circle to evaluate the expression
(1/2 + 1/2) x (√3 - (2 √3)/3))

2. Calculate the difference
1 x √3/3

3.Answer
= √3/3
Or 0.57735

Related Questions

Santa wants to wrap a cylindrical present for All, with a 7cm and height of 20cm. It costs 0.24p per cm² of wrapping paper. Determine the cost to wrap the present.​

Answers

The dependent and independent variables ,C is 3 + 1(X) (X)

where, C is the price of gift-wrapping, X is the quantity of wrapped goods.

Learn how much wrapping will cost?

The number of goods that were wrapped is the independent variable for this function, and the price paid to wrap the presents is the dependent variable.

The number of goods that were wrapped is the independent variable for this function, and the price paid to wrap the presents is the dependent variable.

As opposed to the dependent variable, which is the function's output, the independent variable refers to the function's input. The function in this instance is written as follows:

C = 3 + 1(X) (X)

where,

C is the price of gift-wrapping.

X is the quantity of wrapped goods.

The complete question is,

An order will cost $3 plus $1 for each item that will be wrapped as a present. What are the dependent and independent variables?

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How can you use different representations of a relation to determine whether the relation is a function?

Answers

If you are given a graph, you may perform the vertical line test; if a vertical line crosses the graph more than once, the relation represented by the graph is not a function.

How can you tell if a relation represents a function?

Determine the input values. Determine the output values. If each input value results in just one output value, the relationship is classified as a function. If any input value results in two or more outputs, the relationship is not a function.

The connection is a function if each ordered pair has a unique x x x-coordinate. If the relation is specified as a mapping, check to determine if each domain value is present. Has only one arrow pointing to a range value. If the relation is given as a graph, use the Vertical Line Test.

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solve the following simultaneous equations and leave your answer in decimal form

3x-y=4
2x^2+y^2+xy=6

Answers

The solutions to the nonlinear system of equations are (x₁, y₁) = (1 + √14 / 7, - 1 + 3√14 / 7) and (x₂, y₂) = (1 - √14 / 7, - 1 - 3√14 / 7).

How to solve a nonlinear system of equations

In this problem we find the case of a system of two equations formed by a linear equation and a quadratic equation that can be solved by means of algebra properties. First, write the entire system of equations:

3 · x - y = 4

2 · x² + y² + x · y = 6

Second, clear y in the first equation:

y = 3 · x - 4

Third, substitute in the second equation:

2 · x² + (3 · x - 4)²  + x · (3 · x - 4) = 6

2 · x² + 9 · x² - 24 · x + 16 + 3 · x² - 4 · x = 6

14 · x² - 28 · x + 10 = 0

By quadratic formula:

x₁ = 1 + √14 / 7 or x₂ = 1 - √14 / 7

Fourth, find the possible values for y:

y₁ = 3 · x₁ - 4

y₁ = 3 · (1 + √14 / 7) - 4

y₁ = - 1 + 3√14 / 7

y₂ = 3 · x₂ - 4

y₂ = 3 · (1 - √14 / 7) - 4

y₂ = - 1 - 3√14 / 7

Fifth, write the solutions:

(x₁, y₁) = (1 + √14 / 7, - 1 + 3√14 / 7), (x₂, y₂) = (1 - √14 / 7, - 1 - 3√14 / 7)

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What is the value of an in 3 7 is equal to 25?.

Answers

The value of 'n' in the equation 3n + 7 = 25 is equal to 6.

In the equation 3n + 7 = 25, 'n' is a variable representing an unknown value. To find the value of 'n', we need to isolate it on one side of the equation.

The first step is to remove the constant term 7 from the equation. This can be done by subtracting 7 from both sides of the equation, which gives:

3n = 18

The next step is to get 'n' alone on one side of the equation. This can be done by dividing both sides of the equation by 3, which gives:

n = 18/3

n = 6

So the value of 'n' in this equation is 6.

--The question is not readable, answering to the question below--

"What is the value of an in 3n + 7 is equal to 25?"

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Does someone mind helping me with this problem? Thank you!

Answers

Answer:

p = t - a - b

Step-by-step explanation:

T = a + p + b

- p + T = a + b

- p = - T + a + b

p = T - a - b

Answer:

The variable that belongs in the green box is T

(p=T-a-b)

Step-by-step explanation:

The total amount of fruit (T) minus the apples (a) and minus the bananas (b) would leave us with just the pears (p).

Writing this out mathematically, we have : T - a - b = p

How the commutative property works with addition?.

Answers

If two numbers A and B are given, then the formula of the commutative property of numbers for addition is given as: A + B = B + A

The commutative property deals with the arithmetic operations of addition and multiplication. It means that changing the order or position of two numbers while adding or multiplying them does not change the end result.

For example, 4 + 5 gives 9, and 5 + 4 also gives 9. The order of two numbers being added does not affect the sum.

As a result, the commutative property is concerned with moving the numbers about. So, if altering the order of the operands has no effect on the result of the arithmetic operation, that arithmetic operation is commutative.

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Please help me with this answer!!

Please give a good reasoning, and a good answer!

Answers

Use paper to assist your thinking, the answer should be B.

provide numerical measures of individuals. the measures can be added or​ subtracted, and provide meaningful results.

Answers

Quantitative variables provide numerical measures of individuals. the measures can be added or​ subtracted, and provide meaningful results.

What are Quantitative variables?Any variable for which the data show amounts is a quantitative variable (e.g. height, weight, or age). Any variable where the data show groupings is a categorical variable. quantitative elements Quantitative variables are those that are measured on a numeric scale, as was covered in the chapter's section on variables. The following are some examples of quantitative variables: height, weight, reaction time, subjective pain rating, temperature, and exam score.A qualitative study focuses on words and meanings, whereas a quantitative study works with figures and statistics. You can measure variables and test hypotheses in quantitative ways. With the use of qualitative techniques, you can delve deeper into ideas and experiences.

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How many answers are there to a system of equations?.

Answers

A system of equations is a set of two or more equations with two or more variables. The number of solutions to a system of equations depends on the number of equations and the number of variables.

A system of equations can have one unique solution if the equations are consistent and independent. This means that there is one specific set of values that makes all equations true.A system of equations can have infinitely many solutions if the equations are consistent and dependent. This means that there are infinitely many sets of values that make all equations true. This is usually represented by a line or a plane in the case of systems of 2 or 3 equations with 2 or 3 variables.A system of equations can have no solution if the equations are inconsistent. This means that there are no values that can be assigned to the variables that make all equations true.

It's important to note that the number of solutions is not determined by the number of equations, but by the relationship between the equations and the variables.

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Whats 3/5 - 1/10 in fractions

Answers

[tex] = \frac{3}{5} - \frac{1}{10} \\ [/tex]

[tex] = \frac{3}{5} \times \frac{2}{2} - \frac{1}{10} \\ [/tex]

[tex] = \frac{6}{10} - \frac{1}{10} \\ [/tex]

[tex] = \frac{6 - 1}{10} \\ [/tex]

[tex] = \frac{5}{10} \\ [/tex]

Change in lowest term

answer [tex] = \frac{1}{2} \\ [/tex]

A student says that (0,1) is a solution to the following system of inequalities. y > x y >2x + 1 She says that (0, 1) is a solution because it is a solution of y > x.

Answers

By evaluating the system of inequalities we will see that the point (0, 1) is not a solution.

Is the point a solution of the system of inequalities?

Here we know that a student says that (0, 1) is a solution to the system of inequalities below:

y > x

y > 2x + 1

A point (x, y) is a solution of the system of eqations if, when we replace both values, both inequalties are true.

Replacing the values of the point (0, 1) we will get:

1 > 0

1 > 2*0 + 1  → 1 > 1

The second inequality is false, then the point (0, 1) is not a solution of the system.

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On a relevé l’âge des 10 membres d’équipage d’un voilier : 18 ; 28 ; 20 ; 22 ; 22 ; 20 ; 20 ; 20 ; 28 ; 22.
Quel est l’âge médian des équipiers ?
Interpréter ce résultat

Answers

Answer:21

Step-by-step explanation:

L'effectif total de l'équipage est donc de 10 personnes. L'âge moyen des équipiers de ce voilier est donc de 22 ans. le milieu de 20 et 22 est 21. La médiane des âges des équipiers est donc de 21.

divide 8 by 10, then multiply g by the result

Answers

Answer:

0.80g

Step-by-step explanation:

8/10 = 0.80

Add the variable(g)

0.80g

solve absolute value inequalities
solve for s
-|s| ≤ -18​

Answers

Answer:

s >= 18 and s <= -18

Step-by-step explanation:

-|s| <= -18

|s| >= 18

The value inside the module can be either positive or negative:

positive:

s >= 18

negative:

-s >= 18

s ≤ -18

the selling price of 10 pencils is equal to the cost price of 11 pencils what is the profit percent
HELP PLEASE!!!!!!!!!!!!!! ​

Answers

The profit percent for the pencils is equal to 10%.

What is the profit percent of the pencils?

If C is the cost and P is the price, then the formula for the profit percent is:

p = 100%*(P - C)/C

Here we know that the selling price of 10 pencils is equal to the cost price of 11 pencils, then we can write the eqation:

10*P = 11*C

We can solve this for P.

P = (11/10)*C = 1.1*C

Replacing that in the given formula we will get:

p = 100%*(1.1*C - C)/C

p = 100%*(1.1 - 1)*C/C

P = 10%

The profit percent is 10%.

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Write a possible equation for a cosine function that has a maximum point at (1, 11) and a minimum point at (8, 3).

Answers

M = A + |B| is the function's highest possible value. When sin or cos x equals 1, this maximum value is reached. m = A |B| is the function's lowest possible value. If either cos x or sin x is equal to 1, this minimum will be reached.

How do you find the maximum and minimum of a cosine function?The sine and cosine functions are graphed; to find the values of the sine and cosine functions for a variety of various degrees of angles, use a calculator, computer, or a collection of trigonometry tables (or radian).Because the sine and cosine functions have periods of 2, the patterns are continually repeated to the left and right.The sine and cosine functions can have a number of additional terms and factors added to them, changing how they look.The graph of the sine functions can be vertically shifted by adding the extra term A to the equation y = A + sin x. The sine function can have different amplitudes because to the additional element B in the equation y = B sin x. The graph's highest and minimum values, or one half of those values, make up the amplitude, or | B |, which is the maximum deviation from the x-axis. Both y = A + B sin x and y = A + B cos x are produced by combining these values. The minimum and maximum values for these two functions are specified by the following formulas. M = A + |B| is the function's highest possible value. When sin or cos x equals 1, this maximum value is reached. m = A |B| is the function's lowest possible value.If either cos x or sin x is equal to 1, this minimum will be reached.

Example :

Draw the y = 1 + 2 sin x function on a graph. Which values represent the function's maximum and minimum?1 + 2 = 3 is the highest possible value. 1 + 2 = 1 is the minimum value.

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There vertices of a rectangle are located at (2,4), ( -2, -5), ( -2, 4) on a coordinate plane. What are the coordinates of the fourth vertex of the rectangle

Answers

Answer:

(2,-5)

Step-by-step explanation:

find the coordinates which forms rectangle with othe given points

The coordinates of the fourth vertex of the rectangle are (2, -5).

What is a rectangle?

A rectangle is defined as a four-sided shape with opposite sides that are equal in length and parallel to each other.

We have to determine the fourth vertex of the rectangle.

As we know that the opposite sides of a rectangle are equal.

The x-coordinate of the second vertex (2,4) is equal to the x-coordinate of the fourth vertex.

So, the x-coordinate of the fourth vertex = 2

The y-coordinate of the third vertex (-2,-5) is equal to the y-coordinate of the fourth vertex.

So, the y-coordinate of the fourth vertex = -5

Therefore, the coordinates of the fourth vertex of the rectangle are (2, -5).

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Find the value of $x$ .

Right triangle S T W is shown. Angle T is marked as a right angle. A vertical segment U V is drawn, with point U along side S W and point V along side T W. Segment U V is perpendicular to segment T W so that U V W is a right triangle with V as the right angle. Segment S T measures 5 meters, segment T V measures 9 meters, segment V W measures 6 meters and segment U V is labeled x meters.

Answers

The triangle ΔSTW is similar to the triangle ΔUVW. Then the value of the variable 'x' is 12.5 meters.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

In triangles ΔSTW and ΔUVW, we have

∠T = ∠V      (Given)

∠W = ∠W    (Common angle)

Then the triangles ΔSTW and ΔUVW will be similar to each other. Then the ratio of the corresponding sides will be constant. Then the equation is given as,

ST / UV = VW / TW

ST / UV = VW / (TV + VW)

5 / x = 6 / (9 + 6)

x = 5 (9 + 6) / 6

x = 5(15) / 6

x = 75 / 6

x = 12.5

The triangle ΔSTW is similar to the triangle ΔUVW. Then the value of the variable 'x' is 12.5 meters.

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What is the first step in solving quadratic inequality?.

Answers

Step 1: Find the important numbers. The roots of a quadratic inequality in standard form are the critical numbers. Therefore, solve by setting the function to zero.

In order to solve a quadratic function, what is the first step?

Using inverse operations to isolate the x2 squared is the first step in solving quadratic equations by finding square roots. Step 1: Utilize inverse operations to isolate the x2 squared. Step 2: To isolate x, square root both sides.

What are the four steps for solving a quadratic equation?

The quadratic formula, factoring, using the square roots, and completing the square are the four methods for solving a quadratic equation. As a result, I want to go over a general discussion of the various approaches to solving quadratic equations at this point.

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What is the value of K if the lines given by 3x 2ky 2 and 2x 5y 1 0 are parallel?.

Answers

The two lines in the system of equations will be parallel when the value of k is 15/4.

Let 2 equations of the line be,

ax+by=c1

dx+ey=c2

for lines to be parallel it is necessary that their slopes are equal

we can easily find the slopes of these equations by re-arranging them in the standard equation of a line i.e, y=mx+c

after rearranging we'll get the following equations,

y=(-a/b)x+c1/b

y=(-d/e)x+c2/e

and it should satisfy the given condition,

-a/b=-d/e≠c1/c2

as, if the ratio of the slope is the same as the constants it will become the same line. So, according to the given question

-3/2k must be equal to -2/5

k must be 15/4.

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What does greater than 3 mean?.

Answers

The correct way to write greater than 3 is A > 3 where it tells that A having greater value than 3.

In mathematics,

→The greater than symbol (>) is used to indicate that one value is larger than another. For example, if we say "A > B," this means that the value of A is greater than the value of B.

→The less than symbol (<) is the opposite, it indicates that one value is smaller than another. For example, if we say "A < B," this means that the value of A is less than the value of B.

→The greater than or equal to symbol (≥) indicate that one value is larger than or equal to another. For example, if we say "A ≥ B," this means that the value of A is greater than or equal to the value of B.

→The less than or equal to symbol (≤) indicate that one value is smaller than or equal to another. For example, if we say "A ≤ B," this means that the value of A is less than or equal to the value of B.

These symbols are commonly used in mathematical expressions, equations, and inequalities.

To write "greater than 3" in mathematical notation, you would use the greater than symbol (>) followed by the letter 3. For example:

A > 3

This means that A is greater than 3.

Therefore, the correct way to write greater than 3 is A > 3 where it tells that A having greater value than 3.

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Is ABC congruent QRP? Explain
A No, SSA is not a thing
B) Yes, by SAS
C Yes, by HL
D No, not enough information

Answers

Answer: C). Yes, by HL

Step-by-step explanation:

From -180 feet to -120 feet = ____ feet change in elevation 300 -300 60 -60

Answers

Your answer is gonna be -60
Thank me later
Explanation:

Brittni buy 2 weater for each %18 each. She can ue one of the following coupon: coupon 1 buy and get one 40% off coupon 2 25% off the entire purchae. Which coupon i a better deal?

Answers

Coupon 1 is the better deal, as it offers a 40percentage discount on one of the two items.

Coupon 1:

Cost of 1 item: 18

Discount of 1 item: 40% (7.2)

Total cost with coupon 1: 10.8

Coupon 2:

Cost of 2 items: 36

Discount of 2 items: 25% (9)

Total cost with coupon 2: 27

Coupon 1 is the better deal for Brittni's purchase. It offers her a 40% discount on one of the two items, which means she would save 7.2 on the item. The total cost with coupon 1 would be 10.8. On the other hand, coupon 2 offers a 25% discount on the entire purchase, which would amount to 9 in savings. However, the total cost with coupon 2 would still be higher at 27. Thus, coupon 1 is the better deal for Brittni's purchase.

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What is Cos full form?.

Answers

The cosine of a right-angled triangle is defined by the trigonometric word “cos” meaning.The neighboring base-to-hypotenuse ratio is known as the cos function in a right-angled triangle.

It aids in determining the triangle's side lengths regardless of the provided angle. If the angle between the neighboring side and the hypotenuse of a right triangle is, we can write this using the cos function.

In a right triangle, the ratio between an angle's adjacent side and the hypotenuse is known as the cosine of the angle. It is written as:

Cos = Base of the right-angled triangle/ Hypotenuse of the right-angled triangle.

The cosine function takes up different values depending upon the value of

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Factor the expression to fill in the blank.
33 + 66 = ? (3 + 6)

Answers

99 the correct answer is 99 because 33 + 66= 99 therefore the answer is 99

What is the formula of distributive property?.

Answers

The formula of distributive property is the following, a(b+c) = ab + ac , where a,b,c are real numbers.

The distribution property of multiplication over addition applies when values are multiplied by sums. The expression for the distribution characteristic is expressed as: a × (b + c) = (a × b) + (a × c); where a, b, and c are the operands. The numbers outside the brackets are multiplied by each term inside the brackets and the products are added. For example, you want to multiply the sum of 20 + 3 by 9. Since we have similar terms, we usually add numbers first and then multiply by 5. But according to the property, we can first multiply each summand by 5, so 5( 20 + 3)

= 5 × 20 + 5 × 3

= 100 + 15 = 115.

Hence, distributive property is one of basic property follows by addition and multiplcation operations.

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You decide to purchase an item with an original cost of $250 that is discounted 30%. What is the dollar amount of the discount?

Answers

With a $250 original cost and a 30% discount, The cost after discount is $175.00. $75.00 was saved by you.

How do you calculate 30 percent off?

Think about the pre-sale price. Multiply the initial cost by 30, then divide it by 100. Subtract the old number from this new one. Your discounted value is the new figure. With a $250 original cost and a 30% discount, The cost after discount is $175.00. $75.00 was saved by you.

The simplest method for figuring out a discount is to multiply the original cost by the percentage rate in decimal notation. Any item's selling price is determined by deducting the discount from the purchase price. Value-based rebates or discounts are described by Discount Rules at the product (SKU) or order level. They can be described in terms of proportions or absolute values (net price). A discount rule only applies to the product to which it refers.

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What is the slope of y =- 10x 1?.

Answers

The slope of y=-10x is -10.

The slope of a linear equation in the form of y = mx + b is represented by the coefficient of x, which is also known as the "slope" or "rate of change." In this case, the coefficient of x is -10.

This means that for every unit increase in x, there is a corresponding decrease of 10 units in y. In other words, the line represented by this equation has a negative slope, meaning it slopes downwards as it goes from left to right.

A linear equation is an equation that can be written in the form of y = mx + b, where m is the slope (or rate of change) and b is the y-intercept (the point where the line crosses the y-axis). Linear equations represent straight lines on a graph, and their slope and y-intercept can be used to determine the characteristics of the line, such as its direction and position.

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2(4+3(x-5))
Answer: 6x-22


-3(9-2(k+3)+5k)

Answer: -9k-9

Explain how you get the answer

Answers

By applying the distributive property to open the parentheses and then combining like terms, the answers above are gotten when each expressions are simplified.

How to Simplify an Expression?

To simplify an expression that as parentheses, we can apply the distributive property to get the answer.

Given the expression, 2(4 + 3(x - 5)), to get the answer in simple form. apply the distributive property to open the parentheses:

2(4 + 3x - 15)

Combine like terms:

2(3x - 11)

Apply the distributive property:

6x - 22

Also, follow the same process to simplify -3(9 - 2(k + 3) + 5k):

-3(9 - 2(k + 3) + 5k)

Apply the distributive property:

-3(9 - 2k - 6 + 5k)

Combine like terms:

-3(3k + 3)

Apply the distributive property:

-9k - 9

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Sheconsiders the following in deciding how much gold and silver to use in the ring.The total mass must be more than 10 g but less than 20 g.The ring must contain at least 2 g of gold.The total cost of the gold and silver must be less than $90.a. Write and graph the inequalities that describe this situation.b. For one solution, find the mass of the ring and the cost of the gold and silver. The balanced equation for the decomposition of sodium bicarbonate is 2NaHCO3(s) ---> Na2CO3(s) +H2O(g) +CO2 (g),H=129.2.Using the enthalpies of formation, calculate the enthalpy of formation of sodium bicarbonate. if tan 0 =-3/4 and 0 is in quadrant IV, what is cos 20 & tan 20 Is Fergus a time traveler?. 1 Forma una palabra derivada con prefijo y otracon sufijo, a partir de las siguientes:. moral til puroabrigar sensato elegir Three forces with magnitudes of 80 pounds, 95 pounds, and 125 pounds act on an object at angles of 30, 45, and 120, respectively, with the x-axis. Find the direction and magnitude of the resultant of these forces. (Round your answers to one decimal place.) T/F membrane steroid binding protein 1 (msbp1) stimulates tropism by regulating vesicle trafficking and auxin redistribution the sum of two numbers is 51. the larger number is 21 more than the smaller number. what are the numbers ? larger number: ? smaller number: ? Odonis' client is concerned about the marketability of their title. Odonis advises that if they want their title to be marketable, they need to focus on clearing up all:significant encumbrances and liensmortgagestitle plant limitationschains of title Need help ASAP!!Do you think we should research using photosynthesis for some of our energy, maybe as a some kind of solar patch you would wear that would secrete glucose into your skin? Why or why not? consider the following declaration for a class that will be used to represent points in the xy-coordinate plane. a coding program reads as follows. line 1: public class point. line 2: left curly bracket. line 3: private int x semicolon forward slash forward slash x coordinate of the point. line 4: private int y semicolon forward slash forward slash y coordinate of the point. line 5: public point (). line 6: left curly bracket. line 7: x equals 0. line 8: y equals 0. line 9: right curly bracket. line 10: public point (int a, int b ). line 11: right curly bracket. line 12: x equals a semicolon. line 13: y equals b semicolon. line 14: forward slash forward slash other methods not shown. line 15: right curly bracket. the following incomplete class declaration is intended to extend the above class so that points can be named. a coding program reads as follows: line 1: public class named point extends point. line 2: left curly bracket. line 3: private string name semicolon forward slash forward slash name of point. line 4: forward slash forward slash constructors go here. line 5: forward slash forward slash other methods not shown. line 6: right curly bracket. consider the following proposed constructors for this class. three coding programs reads as follows. one. line 1: public named point (). line 2: right curly bracket. line 3: name equals asterisk asterisk semicolon. line 4: right curly bracket. two. line 1: public named point int (int d 1 comma int d 2 comma string point name ). line 2: right curly bracket. line 3: x equals d 1 semicolon. line 4: y equals d 2 semicolon. line 5: name equals point name semicolon. line 6: right curly bracket. three. line 1: public named point (int d 1 comma int d 2 comma string point name ). line 2: right curly bracket. line 3: super (d 1 comma d 2 )semicolon. line 4: name equals point name semicolon. line 5: right curly bracket. which of these constructors would be legal for the namedpoint class? What is the conflict of the story of Della and Jim?. A car in stop-and-go traffic starts at rest, moves forward 22 m in 8.0 s, then comes to rest again. The velocity-versus-time plot for this car is given in the figure. a. What distance does the car cover in the first 4.0 seconds of its motion?b. What distance does the car cover in the last 2.0 seconds of its motion?c. What is the constant speed V that characterizes the middle portion of its motion? A shopkeeper sold 7 3/4 kg, 2 1/2 and 3 3/5 of sugar to three customers in a day. Find the total weight of sugar sold that day