if the bearing of x from y is 347°.find the bearing of y from x​

The type of graph is:

Quadratic function.

The graph is given by the image presented at the end of the answer.

A translation happens when either a figure or a function are moved horizontally or vertically.

The four translation rules for functions are given as follows:

The parent function for this problem is given as follows:

f(x) = x².

Which is a quadratic function.

The changes are given as follows:

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The probability that none of the 4 light bulbs work is 0.0256, or approximately 2.56%.

Since each light bulb works independently of the others, we can treat the outcome of each bulb as a Bernoulli trial with a probability of success (working) p = 0.6 and a probability of failure (not working) q = 0.4.

To find the probability that none of the 4 light bulbs work, we need to find the probability of having 0 successful trials out of 4. This can be calculated using the binomial distribution:

P(X=0) = (4 choose 0) * (0.6)^0 * (0.4)^4 = 0.4^4 = 0.0256

Where (4 choose 0) is the number of ways to choose 0 successful trials out of 4, which is 1.

In summary, we can use the binomial distribution to find the probability that none of the 4 light bulbs work, since each bulb works independently of the others. Using this method, we find that the probability is 0.0256 or approximately 2.56%.

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The slope is the steepness of a line on a graph and represents the ratio of the vertical change to the horizontal change, the rate of change refers to the amount of change in one variable corresponding to a unit change in another variable.

The slope of a line is a measure of its steepness or incline. It is calculated by dividing the vertical change (change in y-values) by the horizontal change (change in x-values) between two points on the line. The slope indicates how much the dependent variable (y) changes with respect to a unit change in the independent variable (x). In other words, it represents the ratio of the rise (vertical change) to the run (horizontal change) on the graph.

On the other hand, the rate of change is a broader concept that applies to any relationship between two variables, not just linear relationships. It measures how one variable changes in response to a unit change in another variable. The rate of change can be positive, indicating an increase in one variable for every unit increase in the other variable, or negative, indicating a decrease. It can also vary across different intervals of the relationship, indicating that the relationship is not constant.

In summary, the slope specifically refers to the steepness of a line on a graph and is calculated as the ratio of the vertical change to the horizontal change. The rate of change, on the other hand, is a more general concept that describes how one variable changes in response to a unit change in another variable and can be applied to any type of relationship between variables.

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Shimano Pty Ltd needs to sell a minimum of 300 fishing rods in 2021.

In 2021, Shimano Pty Ltd, a custom fishing rod manufacturer, sells each rod for $900. The variable costs associated with producing each rod amount to 60% of the selling price, which is $540 per rod. Additionally, the business incurs fixed costs of $108,000 for the year.

To calculate the total cost per rod, we need to consider both the variable and fixed costs. The variable cost per rod is $540, and the fixed costs for the year are $108,000. Since the fixed costs are independent of the number of rods produced, they can be spread across the total number of rods manufactured.

To determine the breakeven point, we need to find the number of rods that need to be sold to cover the total costs. The breakeven point can be calculated by dividing the total fixed costs by the contribution margin, which is the selling price minus the variable cost per unit. In this case, the contribution margin is $360 ($900 - $540).

Breakeven Point = Total Fixed Costs / Contribution Margin

Breakeven Point = $108,000 / $360

Breakeven Point = 300 rods

To cover the fixed costs and start generating a profit, Shimano Pty Ltd needs to sell a minimum of 300 fishing rods in 2021.

It's important for the company to keep track of its costs, particularly the variable costs, and carefully consider its pricing strategy to ensure profitability and sustainability in the market.

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If Argyle says that she has collected data that only tell her whether the cases are the same or different, one can accurately say that she has collected data on the nominal level.

The nominal level of measurement is the least strict type of data measurement in which the measurements or observations are grouped into distinct categories without a specific order or value structure. At this stage of measurement, variables are defined as categorical because the groups and categories can only be counted, which is usually done using frequencies and proportions.

The nominal level of measurement can take the form of either binary or multichotomous. Binary variables have only two groups, while multichotomous variables have more than two groups. Variables that are frequently used in this level of measurement include gender, race, or political affiliations.

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The single Trigonometric function is √2/2.

Trigonometric Function:

In mathematics, trigonometric functions (also called circular functions, trigonometric functions, angular functions) are real functions that relate the angles of a right-angled triangle to the ratio of the lengths of its two sides. They are widely used in all geometry-related sciences such as navigation, solid mechanics, celestial mechanics, and geodesy. They are one of the simplest periodic functions and are often used to study periodic phenomena using Fourier analysis.

The most commonly used trigonometric functions in modern mathematics are sine, cosine, and tangent. Their reciprocals are cosecane, secane, and cotangent, respectively, and are seldom used. Each of these six trigonometric functions has a corresponding inverse and a hyperbolic analogue.

According to the question:

Following are the solution to the given expression:

Given:

0 < x < π/2

\(\frac{sin \frac{x}{2} + cos \frac{x}{2} }{1-cos \frac{x}{2} }\)

To find:

value=?

Solution:

0 < x < π/2

\(\frac{sin \frac{x}{2} + cos \frac{x}{2} }{1-cos \frac{x}{2} }\)

Now,

Let x = π/2

\(\frac{sin \frac{x}{2} + cos \frac{x}{2} }{1-cos \frac{x}{2} }\)

\(\frac{\frac{1}{\sqrt{2} * 1} }{1-0}\)

\(\frac{1}{\sqrt{2} } * \frac{\sqrt{2} }{\sqrt{2} }\)

\(\frac{\sqrt{2} }{2}\)

Therefore, the answer is \(\frac{\sqrt{2} }{2}\).

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Answer:

n = - 2

Step-by-step explanation:

Given

- 6n - 2n = 16, that is

- 8n = 16 ( divide both sides by - 8 )

n = - 2

Step-by-step explanation:

-6n-2n=16

-6n+-2n=16

(-6n+-2n)=16

-8n=16 divide both sides by - 8

-8n÷-8= 16÷ - 8

n= - 2

The value of x is 13.85.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

From the figure,

(7x + 1)° and (6x - 1)° makes a straight angle.

This means,

(7x + 1) + (6x - 1) = 180

7x + 1 + 6x - 1 = 180

13x = 180

x = 180/13

x = 13.85

Thus,

x is 13.85°

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At this equilibrium, organs are allocated efficiently based on individuals' willingness to pay and suppliers' willingness to provide.

To analyze this using the demand-supply model, let's consider the following:

1. The Market for Human Organs:

In a regulated market, the demand for human organs comes from individuals in need of organ transplants due to medical conditions. The supply of organs, on the other hand, comes from individuals who are willing to donate their organs either voluntarily or upon their death.

2. Surplus or Shortage:

If the demand for organs exceeds the available supply, there is a shortage of organs. This means that there are more individuals in need of organs than there are organs available for transplant. Conversely, if the supply of organs exceeds the demand, there is a surplus of organs.

3. Legalizing the Trade for Human Organs:

Legalizing the trade for human organs would introduce a market mechanism to facilitate organ exchange.

4. Moving towards Equilibrium:

Legalizing the trade for human organs can help move the market towards equilibrium. In a market with free trade, the price and quantity of organs would be determined by the intersection of the demand and supply curves.

As the supply and demand curves adjust, the market would gradually move towards an equilibrium point where the quantity demanded equals the quantity supplied. At this equilibrium, the market would efficiently allocate organs based on individuals' willingness to pay and suppliers' willingness to provide organs.

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Answer:

no slope

Step-by-step explanation:

m= y2-y1/x2-x1

m= 6-(-6)/4-4

m=12/0

m= no slope

The interval of convergence for the given power series is (2, 8).

To find the interval of convergence for the given power series. We have the power series:

∑(n=2 to ∞) ((x-5)ⁿ)/(3ⁿ)

To find the interval of convergence, we'll use the Ratio Test. For the Ratio Test, we need to compute the limit:

L = lim (n → ∞) |(a_(n+1)/a_n)|

For our series, a_n = ((x-5)ⁿ)/(3ⁿ). Therefore, a_(n+1) = ((x-5)(n+1))/(3(n+1)). Now, let's compute the ratio:

|(a_(n+1)/a_n)| = |(((x-5)(n+1))/(3(n+1))) / (((x-5)ⁿ)/(3ⁿ))|

Simplify the expression:

|(a_(n+1)/a_n)| = |(x-5)/3|

The series converges if L < 1. So we have:

|(x-5)/3| < 1

Now, we'll solve for x to find the interval of convergence:

-1 < (x-5)/3 < 1

Multiply each term by 3:

-3 < x-5 < 3

Add 5 to each term:

2 < x < 8

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Answer:

0.17

Step-by-step explanation:

First off, we can convert each of the terms to a decimal:

54/50 = 108/100 = 1.08

40/100 = 0.40

1.65 = 1.65

Adding these decimals up, we get -1.08 - 0.4 + 1.65 = 0.17

if this helps you, it would help me a lot if you could mark this as brainliest :)

Answer:

1400m^2

Step-by-step explanation:

Solution,

Let the breadth of the rectangle be x m, then the length of the rectangle will be x+5 m,

Now,

Perimeter of the rectangle=2(l+b)

150=2(x+5+x)

150=2(2x+5)

150=4x+10

150-10=4x

140=4x

140/4=x

35=x

So, the breadth of the rectangle=35 m

and length=(35+5)m=40m

Again,

Area of the rectangle=l×b

=40m×35m

=1400 m^2

I hope it helped U

stay safe stay happy

Answer: Area= 1400\(meter^{2}\)

Step-by-step explanation:

ok  so  we can assume the

breadth=X

so, length = X+5 (because the length is 5 meters more than the breadth)

perimeter= 150 meters

the formula of the perimeter of a rectangle = 2 x ( Length + Breadth)

so now if we put the values,

2 * ( X+5 +X) = 150 ( because 150 is the perimeter)

2 * (2X + 5) = 150 (the value became 2x because when we add two variables with the same value it will be written as 2(any variable)).

now we multiply  2 with both sides

so ( 2 * 2X) + (2 * 5)

hence, 4X + 10 = 150

now we will solve the equation,

4X= 150 -10 (because we did transposal the signs will change from "+" to "-")

4x= 140

again with the transposal (when we write a number with a variable it shows that it means the number multiplied by the variable in this case it is 4 multiplied by X ) so when we transpose we will have to divide because multiplication turns into division while transposing

so now,

X= 140÷4

which is equal to 35

so finally X = 35

so as we have written in the beginning breadth= X

and LENGTH= X+5

so now we have found X

BREADTH= 35

LENGTH= 40 (because 35+5 is 40)

now we have to find area the formula for finding the area is LENGTH×BREADTH

so, 40 × 35 = 1400

now we put the unit which is square meters also known as \(m^{2}\)

so there is your final answer 1400\(m^{2}\)

Answer:

B is correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

the chance is 1/12 or 8.333...%

hope this helps

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

(5-1)^2 - (6-5)^3

(4)^2 - (1)^3

16-1

=15

Answer:

Two systems that work very closely together are our cardiovascular and respiratory systems. The cardiovascular system includes your heart and blood vessels, which function to remove deoxygenated blood from and return oxygenated blood throughout your body. ... The heart then sends the oxygenated blood out to the body.

Step-by-step explanation:

Answer:

Two systems that work very closely together are our cardiovascular and respiratory systems. The cardiovascular system includes your heart and blood vessels, which function to remove deoxygenated blood from and return oxygenated blood throughout your body. ... The heart then sends the oxygenated blood out to the body.

Step-by-step explanation:

Sensitivity analysis involves assessing the impact of alternative assumptions on the feasibility of a facility. By evaluating worst-case scenarios and analyzing project risk, the viability of the facility can be determined.

Identify key assumptions: Determine the assumptions that have the most significant impact on the feasibility of the facility. These could include factors like construction costs, operating expenses, revenue projections, interest rates, market demand, etc.

Define alternative scenarios: Create a range of alternative scenarios by varying the identified assumptions. For example, you can consider best-case, base-case, and worst-case scenarios by adjusting the assumptions in percentage or raw value terms.

Evaluate financial viability: For each alternative scenario, analyze the financial viability of the facility. Calculate key financial indicators such as net present value (NPV), internal rate of return (IRR), payback period, and profitability ratios. Compare the results of the different scenarios to assess their feasibility.

Assess project risk: Consider the level of project risk based on the assumptions and sensitivity analysis. Identify the scenarios that pose the highest risk to the project's success. Factors such as high construction costs, low market demand, or unfavorable interest rates can increase project risk.

Identify conditions for feasibility: Determine the conditions under which the facility remains feasible. Analyze the scenarios that yield positive financial indicators and meet the desired profitability thresholds. These conditions indicate the project's viability under conservative assumptions.

Mitigate risks: Develop strategies to mitigate the risks identified in the sensitivity analysis. This could involve adjusting the project scope, exploring alternative financing options, implementing cost-saving measures, or conducting further market research.

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If Points X , Y and Z are collinear, and Y is the Midpoint of XZ then value of b is 11

Given that points X , Y and Z are collinear, and Y is the Midpoint of XZ

We have to find the value of b

Since Y is the midpoint of XZ, we know that the lengths of XY and YZ are equal.

XY = 2b + 7

YZ = 3b - 4

Since XY = YZ, we can equate the two expressions:

2b + 7 = 3b - 4

To solve for b, let's isolate the variable on one side of the equation:

2b - 3b = -4 - 7

-b = -11

Dividing both sides by -1 to solve for b:

b = 11

Therefore, the value of b is 11.

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From the given combination, there are 280 ways to select a three-course meal.

What is the combination?

Combinations are ways of choosing things from a collection when the order of the choices does not matter. The number of selections is denoted by \(^{n} C_{r}\) if you have to choose "r" items from "n" things.

Given, 7 appetizers, 10 entrees, and 4 desserts

To select a three-course meal, we will choose 1 item from each course.

i.e. 1 appetizer from 7 appetizers

AND

1 enter from 10 entrees

AND

1 dessert from 4 desserts

So, For appetizers, selections = \(^{7} C_{1}\)

For entrees, selections = \(^{10} C_{1}\)

For desserts, selections = \(^{4} C_{1}\)

Total possibilities =  \(^{7} C_{1}\) * \(^{10} C_{1}\)* \(^{4} C_{1}\) = 7*10*4 = 280

Hence, there are 280 ways to select a three-course meal.

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Answer:

(x+4)^2+(y-3)^2 = 85

Step-by-step explanation:

The standard form of equation of a circle is expressed as;

(x-a)^2 + (y-b)^2 = r^2

(a, b) is the center

r iis the radius

Get the radius

Radius is the distance between the two points

r^2 = (-3-3)^2 + (3-(-4))^2

r^2 - (-6)^2+(7)^2

r^2 = 36+49

r^2 = 85

Substitute (-4, 3) and r^2 = 85 into the formula

(x-(-4))^2 + (y-3)^2 = 85

(x+4)^2+(y-3)^2 = 85

This gives the required equation

The ordered pairs from the graph of quadratic and linear equations are (-2, 7) and (2, -1)

A graph of a quadratic equation is a parabolic curve that opens up or down, depending on the sign of the coefficient of the squared term. A general form of a quadratic equation is given by:

y = ax^2 + bx + c,

where a, b, and c are constants. The graph of this equation can be plotted by choosing a range of values for x and calculating the corresponding values of y.

A graph of a linear equation is a straight line. A general form of a linear equation is given by:

y = mx + b,

where m is the slope of the line and b is the y-intercept.

In this problem, the ordered-pairs will be the point in which they intersect with each other.

Looking carefully at the graph, the ordered pair will be at points

A = (-2, 7)

B = (2, -1)

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The absolute value inequality for the graph is given as |x| < 4

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

The absolute value is given by:

|x - average| = distance to midpoint

From the graph:

x > -4 and x < 4

The midpoint is 0, hence Distance between -4 or 4 to midpoint (0) is 4

Average = (-4 + 4)/2 = 0

Hence:

|x - 0| = 4

|x| < 4

The absolute value inequality for the graph is given as |x| < 4

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Step-by-step explanation:    Hello There!

When we are given two side lengths and the included angle we use this formula to solve for the area

A = 1/2absin(C)

where a and b = the side lengths and c = the included angle

The triangle gives us the following information

side length - 10 ft

side length - 4 ft

included angle - 37

Given this information we plug it into the formula

A = 1/2 4 * 10sin(37)

10 * 4 = 40

40sin(37) = 24.07260093  

24.07260093  = 12.03630046

Finally we round to the nearest tenth and get that the area of the triangle is 12ft²

Let's change it by multiplying by 10^6.

So, the number is:

82,840,000 [82 million, 840 thousand]

Now,

For scientific notation, we have to take the decimal point until there is 1 digit to its left.

Thus it will be:

8.284

This number will be multiplied by a power of 10. This power will be the number of digits we went left to have 8.284 instead of 82,840,000...

Well, that's 7 digits. Thus, the scientific notation would be:

Answer:

12

Step-by-step explanation:

20-8=12

Answer:

Step-by-step explanation:

Use the formulas supplied in the picture attached. There's nothing to really learn here, it is just a plug-and-chug formula:

\(sin(3x)sin(2x)=\frac{1}{2} [cos(3x-2x)-cos(3x+2x)]\)

\(sin(3x)sin(2x)=\frac{1}{2} [cos(x)-cos(5x)]\)

Moving on to the second problem:

\(cos(a)sin(b)=\frac{1}{2}[ sin(a+b)-sin(a-b)]\)

Therefore:

\(2cos(a)sin(b)=sin(a+b)-sin(a-b)\)

Where:

\(a+b=5x\)

\(a-b=3x\)

Solve for 'a' using the second equation to get:

\(a=3x+b\)

Plug this into the first equation to get:

\(3x+b+b=5x\)

\(3x+2b=5x\)

\(2b=2x\)

\(b=x\)

Therefore:

\(a+x=5x\)

\(a=4x\)

Finally:

\(sin(a+b)-sin(a-b)=2cos(4x)sin(x)\)

The Perimeter of wall in inches is 4.724412 inches.

We have the Perimeter = 120 m

We know 1 m = 39.3701 inch

Then, the perimeter inches

= 39.3701 x 120

= 472.4412 inches  

and, 1 cm= 0.393701 inch

Then, perimeter

= 12 x 0.393701

= 4.724412 inches

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Given the following functions:

to find f(g(4)), we can start by finding g(4) first:

now that we know that g(4) = 8, we can calculate the composition f(g(4)):

Answer:

f(g(4) ) = 31

Step-by-step explanation:

evaluate g(4) then substitute the value obtained into f(x)

g(4) = \(\frac{4^2}{2}\) = \(\frac{16}{2}\) = 8 , then

f(8) = 3(8) + 7 = 24 + 7 = 31