Which is the graph of r = 4 sine?

Answers

Answer 1

Answer:

you need to include a picture of all the graphs


Related Questions

Mrs. Aldridge spilled coffee on her Answer Key and can't see the width of
the rectangle anymore. What would be the width of a rectangle with the
given area (shown in image below)?
x +9
x² + 11x + 18

(My answer is a guess so please show your work if you answer this question!)

thank you:)

Mrs. Aldridge spilled coffee on her Answer Key and can't see the width ofthe rectangle anymore. What

Answers

Answer:

x + 2

Step-by-step explanation:

Area = x² + 11x + 18

length = x + 9

width = ?

Area = length x width

Factor the polynomial x² + 11x + 18:

length x width = (x + 9)(x + 2) = x² + 11x + 18

The length is x + 9, therefore the width is x + 2

Study these equations:

f(x) = 2x – 4

g(x) = 3x + 1

What is h(x) = f(x)g(x)?

h(x) = 6x2 – 10x – 4
h(x) = 6x2 – 12x – 4
h(x) = 6x2 + 2x – 4
h(x) = 6x2 + 14x + 4

Answers

Answer:

6x2-10x-4

Step-by-step explanation:

hx=(2x-4)(3x+1)

hx=2x(3x+1)-4(3x+1)

hx=6x2+2x-12x-4

hx=6x2-10x-4

How many solutions does each system of equations have?

How many solutions does each system of equations have?

Answers

The solution that each system of equations have would be = 2 solutions of the value of X and y.

What is substitution method of solving equation?

The substitution method of solving an equation is defined as the way of solving an equation whereby one variable is solved and is substituted into the second unknown variable.

For the above sets of equations, the solutions would be the value of both X and y which can be solved as follows:

4x-y = 2 ---->. equation 1

16x-4y = 8 -----> equation 2

Make y the subject of formula in equation 1

y = 2-4x

substitute y = 2-4x into y in equation 2

16x - 4( 2-4x) =8

16x - 8 + 16x = 8

32x = 16

X = 16/32

X= 0.5

Substitute 0.5 = X in equation 1;

4(0.5) - y = 2

y = 2-2

y = 0

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Let Yi, Y2, , ... , Yn be an iid sample of data from the RVs Yi with finite mean and variance. Further, let X1, X2, ..., In be fixed data we wish to use to predict the yis. Further assume that we know the regression line passes through the origin. Thus, the "no-intercept" model is Yi = Bixi + Ei. Set up the estimating equation for this model. Then use it to find the OLS estimate of Bi.

Answers

In the "no-intercept" model Yi = Bixi + Ei, where Yi, Y2, ..., Yn is an iid sample of data from the RVs Yi with finite mean and variance, and X1, X2, ..., Xn are fixed data we wish to use to predict the Yi, the parameter B1 is the slope of the regression line.

The objective of this model is to find an estimate of B1 that best fits the data. One way to do this is to use the ordinary least squares (OLS) method, which minimizes the sum of the squared residuals.

The residual for a given data point (Yi, Xi) is the difference between the observed value of Yi and the predicted value of Yi based on the model:

Ei = Yi - B1Xi

The sum of squared residuals (SSR) is the sum of the squared residuals for all n data points:

SSR = Σ(Ei²)

The OLS estimate of B1 is the value of B1 that minimizes the SSR.

To find the OLS estimate of B1, we can set up the estimating equation as follows:

Σ(Ei²) = Σ(Yi - B1Xi)²

Differentiating concerning B1 and setting the derivative equal to zero, we get:

2Σ(Yi - B1Xi)(-Xi) = 0

Solving for B1, we get:

B1 = (Σ(YiXi)) / (Σ(Xi²))

This is the OLS estimate of B1. To find the estimate, we simply need to calculate the sum of the products of the Yi and Xi, and the sum of the squares of the Xi, and plug these values into the equation.

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Pythagorean theorem written in general form

Answers

The general form for the Pythagorean theorem would be = c² = a² + b²

What is the Pythagorean theorem?

The Pythagorean theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

When represented mathematically the following is gotten;

c² = a² + b²

where c is the diagonal length also called the hypotenuse

a and b are the other two sides of the triangle.

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find by a digit to make the number divisible by 3 1234?​

Answers

A digit to make the number divisible by 3 is by adding the digit 2 to the number 1234.

To make the number 1234 divisible by 3, we can find the sum of its digits and determine if it is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3.

Let's calculate the sum of the digits in 1234:

1 + 2 + 3 + 4 = 10

The sum of the digits is 10. Since 10 is not divisible by 3, we need to add or subtract a digit to make the sum divisible by 3.

To find the digit we need to add or subtract, we can use the fact that the difference between the original sum and the next multiple of 3 is the required digit.

The next multiple of 3 greater than 10 is 12 (12 - 10 = 2). Therefore, we need to add 2 to the number 1234 to make it divisible by 3.

1234 + 2 = 1236

we obtain the number 1236, which is divisible by 3.

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if the measure of boa=44 and the radius of circle o is 4 what is the length plesa HURRY

Answers

Answer:

To determine the length you're referring to, we need more information about the specific configuration or diagram you're referring to. Please provide additional details or clarify your question so that I can assist you more accurately.

Step-by-step explanation:

A national diet company markets a special diet plan which requires dieters to use frozen meals prepared by the company. The company advertises that those who follow their plan for 10 weeks will lose, on the average, at least 10 lbs. A consumer group is suspicious of this claim, believing that the weight lose is, on average, much less. If m represents the mean weight loss the population of all American adults would experience after 10 weeks on the plan, what is the appropriate alternative hypothesis that the consumer group wishes to test?a. Ha: mu < 10 b. Ha: mu > 10 c. Ha: mu (notequal)10 d. Ha: mu (notequal) 0

Answers

Ha:mu<10  is the appropriate alternative hypothesis that the consumer group wishes to test .

How would you define hypothesis?

An assumption or notion is called a hypothesis when it is put forth with the purpose of debating whether it might be true.

                               In the scientific process, the hypothesis is developed prior to the completion of any relevant study, other than a brief background review.

Ha:mu<10

Because A consumer group is suspicious of this claim, believing that the weight lose is, on average, much less.

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749/d * d/749 = 1

d=?

Answers

Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation:

4. MARBLES Virginia's
mother gave her marbles for
her birthday. Virginia lost 13
of them. If she has 24 marbles
left, write and solve an
equation to find how many her
mother gave her.

Answers

Answer:

37

Step-by-step explanation:

If she has 24 left, and lost 13, you add 13 and 24 to find the original amount.

Virginia's mother gave her 37 marbles for her birthday.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

Virginia's mother gave her marbles for her birthday.

Let number of marbles = x

Here, Virginia lost 13 of them and she has 24 marbles left.

So, We get;

⇒ x - 13 = 24

Solve for x;

⇒ x = 24 + 13

⇒ x = 37

Thus, Virginia's mother gave her 37 marbles for her birthday.

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I guessed. Please help, this assignment is due tomorrow! :)

I guessed. Please help, this assignment is due tomorrow! :)

Answers

Answer:

Well you guessed correctly though good job :D

Step-by-step explanation:


Question 3
Which reason below IS NOT one of the ways to prove that two triangles are congruent?
SSS
AAS
SAS
USSA

Answers

Answer:

Second one:

AAS

Step-by-step explanation:

searched it

You invest $17,804 in a CD that has a 6.275% annual interest rate, compounded continuously. How much will you have in 25 years?Round to the nearest cent.

Answers

Answer:

R = 3.813% per year.

Step-by-step explanation:

A = Accrued amount (principal + interest) P = Principal amount r = Annual nominal interest rate as a decimal R = Annual nominal interest rate as a percent r = R/100 n = number of compounding periods per unit of time t = time in decimal years; e.g., 6 months is calculated as 0.5 years. Divide your partial year number of months by 12 to get the decimal years. I = Interest amount ln = natural logarithm.

Evaluate the expression if x=1/2 and y = 9 = 2y = 1.5 + x​

Answers

Answer:

9

Step-by-step explanation:

In 1995, wolves were introduced into Yellowstone Park.



The function `w\left(x\right)=14\cdot1.08^{x}` models the number of wolves, `w`, in the years since 1995, `x`.



Determine the value of `w(25)`.


What does this value say about the wolf population?

Answers

Answer:

w(25) = 96

There are 96 wolves in the year 2020

Step-by-step explanation:

Given:

\(w(x)=14\cdot 1.08^{x}\)

w(25) =

\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)

Number of years : 1995 + 25 = 2020

In 2020, there are 96 wolves

a line y=mx+5 passes through the point 1,6 and is parallel to y=4x+6 what is the value of b

A y= -1/4x+2
B y=1/4x+5
C y=4x+2
D y=4x+5

Answers

The equation of the straight line would be -

y = 4x + 5.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that a line y = mx + 5 that passes through the point (1, 6) and is parallel to y = 4x + 6.

The general equation of a straight line is given by -

       y = mx + c

Here -   {m} is slope and {c} is y - intercept.

Equation of the line is -

y = mx + 5

It is parallel to -

y = 4x + 6

Then -

m = 4  {slopes of || lines are equal)

So, we get the equation as -

y = 4x + 5

Therefore, the equation of the straight line would be -

y = 4x + 5.

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Which equation represents the total number of black and white squares on the chess board?

Which equation represents the total number of black and white squares on the chess board?

Answers

The equation that represents the total number of black and white squares on the chess board is 8 * 2² = 32

How to determine the equation of the black and white squares

From the question, we have the following parameters that can be used in our computation:

The chess board

From the chess board, we have

Black squares = 32

White squares = 32

When factorized, we have

Black squares = 32 = 8 * 2²

White squared = 32 = 8 * 2²

Hence, the equation that represents the squares on the chess board is 8 * 2² = 32

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UNIT ISCALING
SCALE DRAWING OF A SCHOOL BUS HAS A SCALE OF 1/2 INCH TO 5 FEET. IF THE
ENGTHS OF THE SCHOOL BUS IS 4 1/2 INCHES ON THE SCALE DRAWING, WHAT IS THE
ACTUAL LENGTH OF THE BUS? EXPLAIN OR SHOW YOUR REASONING

Answers

The actual length of the bus is given as follows:

45 feet.

How to obtain the actual length of the bus?

The actual length of the bus is obtained applying the proportions in the context of the problem.

The scale drawing is of 0.5 inches to 5 feet, hence the length represented by each inch of drawing is given as follows:

5/0.5 = 10 feet.

The length of the drawing is given as follows:

4.5 inches.

Hence the actual length of the bus is given as follows:

4.5 x 10 = 45 feet.

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The Gonzalez family and the Walker family each used their sprinklers last summer. The Gonzalez family's sprinkler was used for 35 hours. The Walker family's sprinkler was used for 40 hours. There was a combined total output of 2125L of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour?
Gonzalez Family Sprinklers :
Walkers Family Sprinklers :

Answers

Gonzalez Family Sprinklers used 15 liters and Walkers Family Sprinklers used 40 liters.

What was the water output rate for each sprinkle?

From the information, the Gonzalez family's sprinkler was used for 35 hours. The Walker family's sprinkler was used for 40 hours. There was a combined total output of 2125L of water.

Let Gonzalez = g

Let Walker = w

The equation will be:

g + w = 55 .... i

35g + 40w = 2125 ....

From equation i g = 55 - w

Put the above into equation ii

35g + 40w = 2125

35(55 - w) + 40w = 2125

1925 - 35w + 40w = 2125

Collect like terms

5w = 2125 - 1925

5w = 200

Divide

w = 200 / 5

w = 40

Walkers Family Sprinklers used 40 liters.

Since g + w = 55

g + 40 = 55

g = 55 - 40

g = 15

Gonzalez Family Sprinklers used 15 liters.

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In monopoly, what is the difference in price between the least expensive property + the most expensive property

Answers

Answer:

The least amont property and the most amount property

Step-by-step explanation:

one has lest revenue and one you get more revenue

Answer:

$340

Step-by-step explanation:

most expensive property and cost: Boardwalk- $400

least expensive property and cost: Old Kent or Whitechapel Road- $60

equation: $400-$60=?

answer: $340

use functional notations to describe the function displayed to the right.

use functional notations to describe the function displayed to the right.

Answers

Examining  the table the functional notation is in the second option which is f ( x ) = x^2

How to determine the  functional notations of the table

The table represents functions of input variables and the output variables.

The functional notation represents the relationship between the input and out variables

comparing the values and the function

f ( x ) = x^2

at x = -3 ⇒ f ( -3 ) = (-3)^2 = 9

at x = 0 ⇒ f ( 0 ) = (0)^2 = 0

at x = 1 ⇒ f ( 1 ) = (1)^2 = 1

This shows that f ( x ) = x^2 is the correct option

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What is 0.007 divided by 0.498 to nearest tenth

Answers

Answer:

0.0

Step-by-step explanation:

To find 0.007 divided by 0.498, we can perform the following calculation:

0.007 / 0.498 ≈ 0.0141

Rounding this to the nearest tenth gives:

0.0141 ≈ 0.0

Therefore, the result, rounded to the nearest tenth, is 0.0.

-1/2 (10x-4) -( 4x-2)

Answers

The value of the expression -1/2 * (10x - 4) - (4x - 2) is -9x + 4

How to evaluate the expression?

The expression is given as

-1/2 (10x-4) -( 4x-2)

Rewrite properly as

-1/2 * (10x - 4) - (4x - 2)

Open the brackets

So, we have

-1/2 * (10x - 4) - (4x - 2) = -5x + 2 - 4x + 2

Collect the like terms in the above expression

So, we have

-1/2 * (10x - 4) - (4x - 2) = -5x  - 4x + 2 + 2

Evaluate the like terms in the above expression

So, we have

-1/2 * (10x - 4) - (4x - 2) = -9x + 4

Hence, the value of the expression -1/2 * (10x - 4) - (4x - 2) is -9x + 4

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Determine if the two events are independent or dependent and whether they are mutually exclusive or not."The first roll of a die is 4" and "the second roll of a die is 4." Independent or dependentMutually or not mutually exclusive

Determine if the two events are independent or dependent and whether they are mutually exclusive or not."The

Answers

Independent events are events that do not affect each other. This means that the outcome of one event does not depend on the outcome of the other. In the case of rolling a die we notice that the fact that we get a 4 in the first roll does not affect the number that we are going to get in the next roll. Therefore, these are independent events.

Mutually exclusive events are events that can't happen at the same time or events that if one of them happens then the other can't occur. Rolling a four in a die and then rolling another four are not mutually exclusive because the fact that a number occurs in one die does no affect the occurrence of the other.


You are playing in the NBA Playoffs and attempt a 3-point shot as the buzzer sounds for the end of the
game, if you make the shot your team wins! Your basketball is is traveling on a path described by the
following function: b(x) = -x2 +1.36x + 2. The net is on a level described by the following function:
n(x) = 3 between (8 < x < 8.5). Will you make the shot and win the playoffs?
You may work alone or in a group of up to 3 students total.
BONUS: How high in the air will the basketball be at its highest point?
UNITS: x is in meters, y is in meters

You are playing in the NBA Playoffs and attempt a 3-point shot as the buzzer sounds for the end of thegame,

Answers

Since we do not know the value of u, we cannot find the time taken by the basketball to travel a distance of 8.5 meters. We cannot find the height of the basketball at its highest point.

Given that n(x) = 3 for 8 < x < 8.5.It is impossible to determine whether the shot will be made or not based solely on this information. Winning the playoffs depends on various factors, such as the score, time remaining, and the overall performance of the team.

Therefore, additional information is required to determine the outcome of the playoffs.However, to find the height of the basketball at its highest point, we need to know the equation of the trajectory of the basketball.

Assuming that the basketball follows a parabolic path, we can use the formula:

y = ax² + bx + c,

where y is the height of the basketball, and x is the horizontal distance traveled by the basketball.

To find the values of a, b, and c, we need to know three points on the trajectory of the basketball. Let's assume that the basketball is thrown from a height of 1.5 meters and lands on the floor after traveling a horizontal distance of 8.5 meters.

Therefore, the points on the trajectory of the basketball are:

(0, 1.5), (8.5/2, h), and (8.5, 0),

where h is the height of the basketball at its highest point.Substituting these values in the equation of the trajectory,

we get:

1.5 = a(0)² + b(0) + c...(1)0 = a(8.5)² + b(8.5) + c...(2)h = a(8.5/2)² + b(8.5/2) + c...(3)

Simplifying equations (1) and (2),

we get:

c = 1.5...(4)b = -a(8.5)²/8.5...(5)

Substituting equation (4) in equation (3), we get:

h = a(8.5/2)² + b(8.5/2) + 1.5h = a(8.5/2)² - a(8.5)²/8.5 + 1.5h = -29.375a + 1.5

Substituting the value of a from equation (5) in the above equation,

we get:

h = -29.375(-a(8.5)²/8.5) + 1.5h = 0.5a(8.5)² + 1.5

Therefore, to find the height of the basketball at its highest point, we need to find the value of a. Since we know that the basketball lands on the floor after traveling a horizontal distance of 8.5 meters,

we can use the formula:

x = ut + 0.5at²,

where u is the initial horizontal velocity of the basketball, and t is the time taken by the basketball to travel a distance of 8.5 meters.

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Finding the perimeter or area of a rectangle given one of th
The length of a rectangle six times its width.
If the area of the rectangle is 150 cm”, find its perimeter.

Answers

Answer:

The answer is 70cm

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

Area of a rectangle = l × w

where

l is the length

w is the width

From the question

The length of a rectangle six times its width which is written as

l = 6w

Area = 150cm²

Substitute these values into the formula for finding the area

That's

150 = 6w²

Divide both sides by 6

w² = 25

Find the square root of both sides

width = 5cm

Substitute this value into l = 6w

That's

l = 6(5)

length = 30cm

So the perimeter of the rectangle is

2(30) + 2(5)

= 60 + 10

= 70cm

Hope this helps you

what type of object around in locality​

Answers

Objects commonly found in a locality include residential buildings, commercial establishments, public facilities, transportation infrastructure, landmarks, natural features, utilities, street furniture, and vehicles.

The type of objects that can be found in a locality can vary greatly depending on the specific location and its surroundings. Here are some common types of objects that can be found in a locality:

Residential Buildings: Houses, apartments, condominiums, and other types of residential structures are commonly found in localities where people live.

Commercial Establishments: Localities often have various types of commercial establishments such as stores, shops, restaurants, cafes, banks, offices, and shopping centers.

Public Facilities: Localities typically have public facilities such as schools, libraries, hospitals, community centers, parks, playgrounds, and sports facilities.

Transportation Infrastructure: Localities usually have roads, sidewalks, bridges, and public transportation systems like bus stops or train stations.

Landmarks and Monuments: Some localities may have landmarks, historical sites, monuments, or cultural attractions that represent the area's heritage or significance.

Natural Features: Depending on the locality's geographical characteristics, natural features like parks, lakes, rivers, mountains, forests, or beaches can be present.

Utilities: Localities have infrastructure for utilities such as water supply systems, electrical grids, sewage systems, and telecommunications networks.

Street Furniture: Localities often have street furniture like benches, streetlights, waste bins, traffic signs, and public art installations.

Vehicles: Various types of vehicles can be found in a locality, including cars, bicycles, motorcycles, buses, trucks, and possibly other modes of transportation.

It's important to note that the objects present in a locality can significantly differ based on factors such as urban or rural setting, cultural context, economic development, and geographical location.

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what is the answer I need help

what is the answer I need help

Answers

Answer:

Step-by-step explanation:

The vertex is at (-3, -1)  and the leading coefficient is negative ( because  the curve is inverted)

y = -a(x + 3)^2 - 1

One point on the curve is (-2, -3) so

-3 = -a(-2+3)^2 - 1

-3 = -a - 1

-a = -2

So we have

y = -2(x + 3)^2 -  1

y = -2(x^2 + 6x + 9) - 1

y = -2x^2 - 12x - 19.

is -2/5 equal to 5/2

Answers

Answer:

hypothetically it would but I am not sure :(

Step-by-step explanation:

104 is equivalent to 52 because 10 x 2 = 4 x 5 = 20. 156 is equivalent to 52 because 15 x 2 = 6 x 5 = 30. 208 is equivalent to 52 because 20 x 2 = 8 x 5 = 40.

So no

Please help !!!!!! 20 points

Please help !!!!!! 20 points

Answers

The value of x in the polygon will be 13.25 degrees.

The value of x is 10.

We can find the value of x by plugging in the number of sides of the regular polygon into the formula x = (n-2)*15° - 1.

How to calculate the value

The sum of the interior angles of a regular polygon with n sides is (n-2) x 180 degrees.

Sum of angles = (24-2) x 180 = 22 x 180 = 3960 degrees

Since all the angles in a regular polygon are congruent, we can divide the sum of the angles by the number of angles to find the measure of one angle:

Measure of one angle = 3960/24 = 165 degrees

165 = 12x + 6

159 = 12x

x = 13.25

Therefore, the value of x is 13.25 degrees.

Each of the triangles in our decomposition has one angle equal to (17x+2)°, so the sum of all the angles in the triangles is 43 × (17x+2)° = 731x+86°.

Therefore, we have:

731x+86° = 7380°

Solving for x, we get:

731x = 7294°

x = 10

Therefore, the value of x is 10.

The equation that can be used to find the value of x is:

(9x+48)° + (15x-24)° = (n-2)*180°

24x + 24 = (n-2)*180°

Dividing both sides by 24, we get:

x + 1 = (n-2)*15°

Subtracting 1 from both sides, we get:

x = (n-2)*15° - 1

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"The common law developed the law of contract to allow certainty and freedom in commercial dealings. Parliament has, howver, intervened to ensure that this freedom to contract is not abused" True or false? help will give brainiest How many liters are equal to 4,283 milliliters? Use the placement of the decimal point when dividing by a power of 10 to help you solve. construct concrete relations r and s on a = {1, 2, 3} such that (1) r is reflexive on a, not symmetric, and not transitive. (2) s is not reflexive on a, not symmetric, and not transitive you go for a run on monday you ran 1.23km on tuesday you ran the same distance , how far did you run altogether ? Which of the following is NOT part of the mission of the Department of Homeland Security as it was described in the original wording of the Homeland Security Act of 2002?to minimize the damage and assist in the recovery from terrorist attacks that do occur within the United Statesto prevent foreign nationals from entering the United Statesto prevent terrorist attacks within the United Statesto reduce the vulnerability of the United States to terrorism PLEASE HURRY!!!Why was it difficult to get North Carolinians to agree to ratify the Constitution? They disagreed about the trade agreements.They disagreed about the strength of the federal government. They disagreed about the economic structure.They disagreed about the right to bear arms. Thank you so much for any help! I am being timed! I WILL GIVE BRAINLIEST!!!!2 step equation:4x + 3 = 192 step equation w/ fractions:(4/3)x + 5 = 17Distributive Property:4x(6 - 2) - 10 = 20Decimals:4.3x + 0.7 = 5Real world equation:Sharon's restaurant is bringing in money from customers, and she needs to know how much she needs to pay off the bill for the electricity to run the place. To turn the electricity on, she has to pay $25. For every hour that the electricity is on for, she has to pay $4. How many hours can she have the electricity on for if she makes $49 profit?i really need some help solving these What are food stamp benefits? The food stamp benefit:a. is a state funded program started in 1984b. does not contribute to the poverty trap from an economic viewpointc. has time limits and is not a complete disincentive to workd. is reduced by $35 for $100 earned and choices (a) and (c) above 1. Why do people create stories? (Select all correct answers.)to share factual informationto pass along elements of cultureto teach the next generationto entertain each other researchers are developing a sensor called _________ , designed to be so small that it floats in the air. Light falls on a double slit with slit separation of 2.02 10^6 m, and the first bright fringe is seen at an angle of 16.5 relative to the central maximum. Find the wavelength of the light. True or False 1,500 is a valid integer literal in Python Solve the system of equations x' 2x 3y + 2 sin(2t) y' = x 2y 2 cos(2t) Suppose a family has had a house fire in whichthey lost many photos, and they are worried aboutlosing more if they have another. Which of thefollowing is a reason this family may want todigitize their photos? Choose all that apply.to make it easier to e-mail photos to friendsto maximize file space on their hard driveto minimize risk of losing photos by ackingthem up in virtual spaceto save space in their homeDONE Consider the following system of equations:y = 2x + 3y = x 5Which description best describes the solution to the system of equations? Lines y = 2x + 3 and y = 3x 5 intersect the x-axis. Line y = 2x + 3 intersects line y = x 5. Lines y = 2x + 3 and y = 3x 5 intersect the y-axis. Line y = 2x + 3 intersects the origin. Line N passes through the points (-1, 4) and (-1, -4).543-21-5 -4 -3 -2 -1412 3 4 5xX.535Which is true of line N? Cantaloupes are on sale at four different stores. Which store offers the lowest unit rate for cantaloupes, in dollars per pound? Fresh Farm: $4.50 for 5lbs Fruit Garden: $1/5 for 1/3lb Mother Nature: $4 for 5 lbs Country Market: $0.85 per pound Picture attached, thanks for the help Increased trade spend dollars or product supply efficiencies are generally strategies to accomplish what goal? Increase Sales Reduce Costs Reduce Profits Increase Cost of Goods Sold