If N= m/ x + q , find the value of q when N= 1 4/5 , m=9 and x=2

Since r = √(x² + y²) in Cartesian coordinates, we can substitute it into the equation: x + y = √(x² + y²).

To convert the polar equation rcosθ + rsinθ = 1 into a Cartesian equation, we can use the trigonometric identities cosθ = x/r and sinθ = y/r.

Substituting these identities, we get x + y = r. Since r = √(x² + y²) in Cartesian coordinates, we can substitute it into the equation: x + y = √(x² + y²).

To identify the graph, we can rearrange the equation to form x² + y² = (x + y)², which simplifies to x² + y² = x² + 2xy + y². Canceling out the x² and y² terms, we obtain 2xy = 0.

This equation represents two perpendicular lines, one along the x-axis and the other along the y-axis, intersecting at the origin.

Learn more about Cartesian

brainly.com/question/11676110

#SPJ11

Answer:

121+11 divided 37

hope this helped:)

Answer:

-121

Step-by-step explanation:

You can plug it in to a calculator, or use pemdas: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

The relation "r" defined on the set of people, where xry if x is older than y, is not a partial ordering. The first paragraph will provide a summary of the answer, and the second paragraph will explain why the relation fails to satisfy the properties of a partial ordering.

Reflexivity: For every person x, x must be older than or equal to themselves. In this case, the relation holds true since a person is always older than or equal to themselves.

Antisymmetry: If x is older than y and y is older than x, then x and y must be the same person. However, in this case, the relation does not satisfy antisymmetry because two different people can have different ages. For example, person A can be older than person B, and person B can be older than person C, but person A and person C can still be different individuals.

Transitivity: If x is older than y and y is older than z, then x must be older than z. In this case, the relation satisfies transitivity since if person A is older than person B and person B is older than person C, then person A is older than person C.

Learn more about Antisymmetry here:

https://brainly.com/question/14142481

#SPJ11

Answer:

decagon

Step-by-step explanation:

all angles measure 360, divide by 10 sides, answer is 36. lmk if you need a more in depth explanation

Answer:

657

Step-by-step explanation:

The particular solution to the given differential equation is y^2 = x^2 + y0^2, where y0 is the initial value of y at x = 0.

The given differential equation is dy/dx = x/y, where y cannot equal 0. It is a separable differential equation that can be solved by rearranging terms and integrating both sides.

To solve the differential equation dy/dx = x/y, we can begin by rearranging the equation to separate the variables. Multiplying both sides by y and dx, we get y dy = x dx. Now, we can integrate both sides:

∫y dy = ∫x dx

Integrating, we obtain (1/2)y^2 = (1/2)x^2 + C, where C is the constant of integration. Simplifying this equation, we have y^2 = x^2 + C.

To find the particular solution, we need an initial condition. Let's assume that at x = 0, y = y0. Substituting these values into the equation, we get y0^2 = 0^2 + C, which gives C = y0^2.

Therefore, the particular solution to the given differential equation is y^2 = x^2 + y0^2, where y0 is the initial value of y at x = 0.

It's important to note that the solution is valid as long as y ≠ 0, as division by zero is undefined.

Learn more about differential equation here:

https://brainly.com/question/31492438

#SPJ11

Answer:

Sample proportion ; phat

x / n

Step-by-step explanation:

The sample proportion may be explained as a proportional representation of part of the population or larger sample which have a certain character or exhibit a particular trait.

The sample proportion is expressed Mathematically as ;

phat = x / n

x = number of subjects with a specified characteristic ;

n = total sample size

For instance ;

The proportion of black balls in a sample of 100 balls is 15 ; the sample proportion of bla k balls will be :

phat = x / n = 15 / 100 = 0.15

Answer:

Step-by-step explanation:

To determine the probability of choosing two caramels candies without replacement, we need to know the total number of candies and the number of caramels.

Let's say we have a bag with 10 candies, and 4 of them are caramels. The probability of choosing a caramel on the first draw is 4/10, or 2/5.

Now, let's assume that we don't replace the first candy back into the bag. This means that there are now only 9 candies left in the bag, with only 3 caramels left. So, the probability of choosing a second caramel is 3/9, or 1/3.

To find the probability of both events happening, we need to multiply the probabilities:

P(both caramels) = P(first caramel) x P(second caramel after first caramel was not replaced)

P(both caramels) = (4/10) x (3/9)

P(both caramels) = 12/90

P(both caramels) = 2/15

Therefore, the probability of choosing two caramels candies without replacement from a bag of 10 candies with 4 caramels is 2/15.

Answer:

10

8

84.66

Lower

Answer: The student rounded 10.2 to

✔ 10

.

The student rounded 8.3 to

✔ 8

.

The actual product of (10.2)(8.3) is

✔ 84.66

.

The student’s estimate is

✔ lower

than the actual product.

Step-by-step explanation:

Answer:

\(y= \frac12 x^2 -2x +\frac32\)

Step-by-step explanation:

From the two zeroes, you can tell that the polynomial factors as \(y= A(x-1)(x-3)\). You have still one degree of freedom (determining how wide the parabola is. You can determine it with the other condition:

\(4 = A(5-1)(5-3) \rightarrow 4= A(4)(2) \rightarrow A= \frac12\)

Your function is \(y= \frac12 (x-1)(x-3) = \frac12 x^2 -2x +\frac32\)

The y = 35,000(1 - 0.18)^x and car is worth approximately $4810.68 after 10 years.

Part A:

Let the initial cost of the car be $35,000 and let the rate of decrease be 18% per year. We can use the formula for exponential decay:

y = a(1 - r)^x

where:

y is the cost of the car after x years

a is the initial cost of the car, which is $35,000

r is the rate of decrease, which is 18% or 0.18 in decimal form

x is the number of years since the car was purchased

Therefore, the exponential function to model the cost of the car after x years is:

y = 35,000(1 - 0.18)^x

Simplifying this expression, we get:

y = 35,000(0.82)^x

Part B:

To determine how much the car is worth after 10 years, we plug in x = 10 into the exponential function we obtained in Part A:

y = 35,000(0.82)^10

Using a calculator to evaluate this expression, we get:

y ≈ $4810.68

Therefore, the car is worth approximately $4810.68 after 10 years.

To know more about Exponential function visit:

brainly.com/question/14355665

#SPJ1

Answer:

A) y=0.5x+10 C) 17.5 dollars (don't forget your units)

Step-by-step explanation:

a) 0.5 is the price paid per song, or x, and 10 is the price that does not change for a month, so we can say that y=0.5x+10

c) to download 15 songs, we substitute x by 15

y=0.5(15)+10

y=7.5 + 10

y=17.5

and for b, im sorry but I cannot graph here.

the correct answer is A

Always concentrate on point where X or G(X) equals Zero.

For example, here point (0,2), G(X)=2 when X=Zero.

If u tried to Replace X and G(X) in the equations below with these numbers, you would figure out the right answer so easily. Have a nice day!

Median may change by 100, mean changes by at most 100, 10% trimmed mean does not change.

Replacing the largest number in a list of 80 numbers from 768 to 868 will result in a change in the median and the mean, but not in the 10% trimmed mean.

The median will increase by 100 since it is the middle number when the list is sorted, and replacing the largest number will shift the original largest number down by one position.

The mean may change by at most 100, as the change in the largest number is divided among all the numbers in the list, so the effect on the mean depends on the distribution of the numbers in the list. The 10% trimmed mean does not change since it removes the top and bottom 10% of the data, regardless of the values in those positions.

Learn more about list

brainly.com/question/31308313

#SPJ11

Given:

There are between 24 and 40 students in a class.

The ratio of boys to girls is 4:7

To find:

The number of students in the class.

Solution:

Let the number of boys are girls are 4x and 7x respectively, where, x must be a positive integer because number of boys and girls is always a positive integer. Then, the total number of students is

\(\text{Total students}=4x+7x\)

\(\text{Total students}=11x\)

It means total number of students is multiply of 11.

Multiples of 11 are 11, 22, 33, 44, ... . So, multiples of 11 between 24 and 40 is 33.

Therefore, the total number of students in the class is 33.

Thus, Brian's average speed for the whole journey from Ashton to Oldham is 34.29 mph.

Average, also known as mean, is a measure of central tendency in statistics that represents the typical value of a set of numbers. It is calculated by adding up all the numbers in the set and then dividing the sum by the total number of values in the set. For example, if you want to

Given by the question.

To calculate the average speed of Brian's whole journey, we need to use the formula:

average speed = total distance ÷ total time

We know the distance between Ashton and Lees is 12 miles, and we also know the speed at which Brian drove this part of the journey: 40 mph. Using the formula:

time taken = distance ÷ speed

we can calculate that it took Brian:

time taken from Ashton to Lees = 12 miles ÷ 40 mph = 0.3 hours

We also know the distance between Lees and Oldham is 12 miles, and the speed at which Brian drove this part of the journey: 30 mph. Again using the formula:

time taken from Lees to Oldham = 12 miles ÷ 30 mph = 0.4 hours

So, the total distance Brian covered from Ashton to Oldham is:

total distance = distance from Ashton to Lees + distance from Lees to Oldham

total distance = 12 miles + 12 miles = 24 miles

The total time Brian spent on the journey is:

total time = time taken from Ashton to Lees + time taken from Lees to Oldham

total time = 0.3 hours + 0.4 hours = 0.7 hours

Now we can use the formula for average speed:

average speed = total distance ÷ total time

average speed = 24 miles ÷ 0.7 hours

average speed = 34.29 mph

To learn more about speed:

https://brainly.com/question/28224010

#SPJ1

a) The magnitude of Pˉ is P.  b) The direction cosine of Pˉ with respect to the x-axis is 110/P.  c) The directional angle of Pˉ with respect to the z-axis is arctan(60/√(110^2+(-0.58P)^2)).

a) To find the magnitude of vector Pˉ, we use the formula for the magnitude of a vector in three dimensions, which is the square root of the sum of the squares of its components.

b) The direction cosine of a vector with respect to a specific axis is the ratio of the component of the vector along that axis to its magnitude. In this case, the x-component of Pˉ is 110, so the direction cosine with respect to the x-axis is 110 / P.

c) The directional angle of a vector with respect to a specific axis can be found using the arctan function. In this case, we use the y-component and z-component of Pˉ to find the angle between Pˉ and the z-axis.

Therefore, the magnitude of Pˉ is given by P, the direction cosine with respect to the x-axis is cos(θ_x), and the directional angle with respect to the z-axis is θ_z.

Learn more about Vector click here :brainly.com/question/13322477

#SPJ11

Answer:

He should have got 40

Step-by-step explanation:

680 / 45 = 15.11

45 x 16 = 40

To find h(6), we have to evaluate the given function when x = 6.

Answer:

4720

Step-by-step explanation:

got it from here so should be right.

The definition and explanation of an equation are given below with an example.

in mathematics, an equation is defined as an expression that expresses equality between 2 quantities or expressions. We use equations quite a lot in our daily lives whenever we have to equate two quantities and find out how they are equal. These are used in all branches of science because of the huge purpose they serve.

in simple words it tells what we have on the Left-Hand Side of the "=" sign is the same as what we have on the right-hand side of the statement. Some examples of equations are-

E²=m²c⁴+p²c²

x²+3x-1=0

70 oranges= 7 oranges × 10 oranges

Learn more about equations on

https://brainly.com/question/29657983?referrer=searchResults

#SPJ4

a) Diminishing returns start at x = 1,  where the marginal revenue will be less than the marginal cost

b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

a) At what level of advertising spending does diminishing returns start?

Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.

b) How much revenue will the company earn at that level of advertising spending?

At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) What does 0≤x≤25 tell us with respect to this problem?

In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

To learn more about marginal cost refer:-

https://brainly.com/question/14923834

#SPJ11

The surface area of the given pyramid is calculated as: ¹/₄ yd²

The formula for the area of a triangle is:

A = ¹/₂ * b * h

where:

A denotes Area

b denotes base

h denotes height

We are given from the image of the net that:

base length = ¹/₄ yard

Height of triangle = ¹/₂ yard

Thus:

Area of one triangle = ¹/₂ * ¹/₄ * ¹/₂ = ¹/₁₆ yd²

Now, we have exactly 4 of this same triangle and as such:

Total surface area of the pyramid = 4 * ¹/₁₆ yd²

= ¹/₄ yd²

Read more about Square Pyramid Surface Area at: https://brainly.com/question/22744289

#SPJ1

Answer:

Step-by-step explanation:

The solution to the inequality is all values of x less than 5. We can write the solution set using interval notation as (-∞, 5).

To solve the inequality -5x - 3 + 2x > -18, we need to isolate the variable x on one side of the inequality sign.

Starting with the given inequality:

-5x - 3 + 2x > -18

Simplifying the left-hand side by combining the like terms:

-3x - 3 > -18

Adding 3 to both sides:

-3x > -15

Dividing both sides by -3, and reversing the inequality sign since we are dividing by a negative number:

x < 5

Therefore, the solution to the inequality is all values of x less than 5. We can write the solution set using interval notation as (-∞, 5).

Learn more about inequality here : brainly.com/question/18881247

#SPJ1

Answer:

60

Step-by-step explanation:

hmmmmmmmmmmmmmmmmmmm

Answer:

$7

Step-by-step explanation:

Since 100/20 = 5, 20% is 1/5, so 20% of 35 is 35/5, or 7

Answer:

If someone leave a 20% tip and the meal is 35$how much was the tip :

$35.00 ÷ 20% = $7.00

Minimum score required for the scholarship = 605

To find the minimum score required for the scholarship, we need to find the score that corresponds to the top 6% of scores.

First, we need to find the z-score that corresponds to the top 6%. We can use the standard normal distribution table or calculator to find this.

Using the calculator, we can input:

normalcdf(0.94,9999)

This gives us the area under the curve to the right of z=0.94, which is the z-score that corresponds to the top 6%.

We get: 0.1664

This means that the top 6% of scores correspond to z-scores greater than 0.94.

Now we can use the z-score formula:

z = (x - μ) / σ

where x is the score we want to find, μ is the mean (489), and σ is the standard deviation (112).

Rearranging this formula, we get:

x = z * σ + μ

Substituting in the values we have:

x = 0.94 * 112 + 489

x = 605.08

Rounding this to the nearest whole number, we get:

Minimum score required for the scholarship = 605

To find the minimum score required for the scholarship, we will use the given information about the SAT writing scores being normally distributed with a mean (µ) of 489 and a standard deviation (σ) of 112. We need to find the score that corresponds to the top 6%.

Step 1: Convert the percentage to a decimal. Top 6% = 0.06.

Step 2: Find the Z-score that corresponds to the top 6%. This means we want to find the Z-score that has 1 - 0.06 = 0.94 area to the left. Using a Z-table, you can find that the Z-score is approximately 1.555.

Step 3: Use the Z-score formula to find the minimum score (X):

Z = (X - µ) / σ

1.555 = (X - 489) / 112

Step 4: Solve for X:

1.555 * 112 = X - 489

174.16 = X - 489

X = 663.16

Round to the nearest whole number: X = 663.

So, the minimum score required for the scholarship is 663.

Learn more about z-score at: brainly.com/question/15016913

#SPJ11