Find the equation of the line that satisfies the given conditions.

Through
(-12/13 ,-12/11)

slope is o
The equation of the line is
Please help me ASAP I’m on a time limit

Answer:

a)30

b)25

Step-by-step explanation:

ratio of red socks and total sock is 1:6 so, lets show this as,

1k and 6k.

1k-------5

6k------x

x=30

a)total socks = 30

b)black socks =total-red socks=30-5=25

The relation "r" on the set of integers is a mathematical concept that describes a certain relationship between pairs of integers.

A relation on the set of integers, denoted as "r," is a mathematical construct that defines a connection or association between pairs of integers. It is represented by a set of ordered pairs (a, b), where "a" and "b" are integers. In this context, we will evaluate the given statements and determine their correctness.

Reflexive: A relation "r" is reflexive if every integer is related to itself. This means that for all integers "a," the pair (a, a) must be in the relation "r." If this condition holds true for the given relation, we can mark it as correct.

Symmetric: A relation "r" is symmetric if for every pair (a, b) in "r," the pair (b, a) is also in "r." To determine the correctness of this statement, we need to check if for every (a, b) in "r," (b, a) is also present. If this condition is satisfied, we can mark it as correct.

Transitive: A relation "r" is transitive if for any three integers a, b, and c, if (a, b) and (b, c) are in "r," then (a, c) must also be in "r." To validate this statement, we need to verify if for every pair (a, b) and (b, c) in "r," (a, c) is present. If this condition is met, we can mark it as correct.

By carefully evaluating these properties of the given relation "r" on the set of integers, we can determine which statements are correct and which are not, based on the definitions of reflexivity, symmetry, and transitivity.

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Answer: 2

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

Average is the ratio of the sum of the data to the sample size

Sum of data = 2/5-4/5+9/5/+1/5

Sum of data = (2-4+9+1)/5

Sum of data = 8/5

Sample size = 4

Average = 8/5÷4

Average = 8/5× 1/4

Average = 2/5

Hence the average monthly change in water level is 2/5

One possible function of the form f(x) = 1/(x - 1/2) - 2/1 satisfies the conditions of having a vertical asymptote of x = 1/2 and a horizontal asymptote of y = -2.

A vertical asymptote occurs when the denominator of a fraction approaches zero, but the numerator does not, causing the function to approach infinity.

To have a vertical asymptote of x = 1/2, we need the denominator of the fraction to be equal to zero at x = 1/2. Therefore, we can write the denominator as (x - 1/2).

However, the function will not have a horizontal asymptote unless the degree of the numerator is less than or equal to the degree of the denominator.

To satisfy this condition, we can set the numerator to be a constant (i.e., degree zero). Let's call this constant k. Therefore, we can write the function as:

f(x) = k/(x - 1/2)

To find the value of k that satisfies the horizontal asymptote condition of y = -2, we can take the limit of the function as x approaches infinity or negative infinity:

lim x→∞ f(x) = lim x→-∞ f(x) = 0

This is because as x approaches infinity or negative infinity, the denominator becomes much larger than the numerator, causing the fraction to approach zero.

Therefore, we need to add a constant to the function to shift it downward by 2 units. Let's call this constant h. Therefore, the function becomes:

f(x) = k/(x - 1/2) + h

To find the value of k and h, we can use the fact that the function has a horizontal asymptote of y = -2 and substitute it into the function:

lim x→∞ f(x) = lim x→-∞ f(x) = -2

Substituting x = ∞ and x = -∞ into the function, we get:

k/(∞ - 1/2) + h = -2

k/(-∞ - 1/2) + h = -2

Since 1/∞ and 1/-∞ approach zero, we can simplify the equations to:

k/-1/2 + h = -2

k/1/2 + h = -2

Simplifying further, we get:

-k/2 + h = -2

k/2 + h = -2

Solving for k and h, we get:

k = 4

h = -2

Therefore, the function that satisfies the conditions of having a vertical asymptote of x = 1/2 and a horizontal asymptote of y = -2 is:

f(x) = 4/(x - 1/2) -2

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Domain of f(x) = (−∞, -4)∪(-4, ∞) when rational function is f(x)=x²+6x+8/x+4 which is function f of x.

Given that,

We have to find what are the domain and range of the function f of x is equal to the quantity x squared plus 6x plus 8 end quantity ÷ by the quantity x + 4 end quantity.

We know that,

If a rational function is defined as R(x)=p(x)/q(x), then the domain of the rational function is the intersection of domains of p(x) and q(x) except those values for which q(x)=0.

The given rational function is

f(x)=x²+6x+8/x+4

We need find the domain of the given function.

Here, both the numerator and the denominator are polynomial functions, and the range of a polynomial function is the entire real number range.

So, domain of the given function is all real number except those values of x for which x+4=0.

x+4=0

x=-4

Domain of f(x) = All real numbers except -4.

Domain of f(x) = (−∞, -4)∪(-4, ∞)

Therefore, Domain of f(x) = (−∞, -4)∪(-4, ∞) when rational function is f(x)=x²+6x+8/x+4.

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Answer:

12 bucks

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the height stands in a right-angle on the opposite side.

the question says "from vertex S".

so, B and D are automatically out.

the only answer with a line coming from S and having a right angle with the opposite side is C.

In summary, a dilation with a scale factor not equal to 1 preserves the angles of the preimage while altering the side lengths in a proportional manner.

In a dilation with a scale factor not equal to 1, the angles and side lengths of the preimage and the image are related in the following ways:

Angles: The angles in the preimage and the image remain the same. They have the same measures, and their relative positions to each other are preserved. The dilation does not affect the angles; they are unchanged.

Side Lengths: The side lengths in the image are proportional to the corresponding side lengths in the preimage. The scale factor of the dilation determines the ratio between the side lengths. If the scale factor is greater than 1, the side lengths in the image will be longer than the corresponding side lengths in the preimage. If the scale factor is between 0 and 1, the side lengths in the image will be shorter than the corresponding side lengths in the preimage. The ratio of the side lengths remains the same throughout the dilation.

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Answer: did you make that up ??

Step-by-step explanation:

Answer:

A. Alternate interior

B. Transitive property

C. Converse alternate interior angles theorem.

In order to find how many blocks she was able to draw a line, we can calculate the following rule of three:

Now, we can write the following equation and solve it for x:

Therefore she would be able to draw a line in a total of 8 blocks.

Answer:

g(x) = [x/6]

Step-by-step explanation:

The given graph is f(x)=[x]

On stretching the function f(x) by a factor of 6, the new function g(x) is

g(x) = f(x/6)

So, g(x) = [x/6]

Hence, on stretching the f(x) by a factor of 6, the new function g(x)=[x/6].

Note that none of the given options matched.

3 (hight) × 8 (base) = 24

24 ÷ 2 = 12 (area of triangle)

12 × 2 = 24 (because there are 2 triangles)

5 × 7 = 35 (because length times width)

35 × 2 = 70 (because there are 2 rectangles)

8 × 7 = 56 (because of the base)

24 + 12 + 24 + 35 + 70 + 56 = 221

Answer: 35%

Step-by-step explanation:

Answer:

slope = 0

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, - 5 ) and (x₂, y₂ ) = (7, - 5 )

m = \(\frac{-5-(-5)}{7-2}\) = \(\frac{-5+5}{5}\) = \(\frac{0}{5}\) = 0

The expected values of the given functions are:

E(θ) = π/2E(θ - π/2)

= -π/4E(θ²)

=  π²/3E(θⁿ)

=  π^(n+1)/(n+1)E(cosθ)

= 0E(sinθ)

= 0E(|cosθ|)

= 4/πE(cos 2θ)

= 0E(sin 2θ)

= 0E(cos²θ + sin²θ) = 1

We are given a continuous random variable θ that is uniformly distributed between 0 and π. Let us first determine the expression for P(0).We know that the random variable θ is uniformly distributed between 0 and π. Therefore, the probability density function (PDF) of θ is given by:

f(θ) = 1/π for 0 ≤ θ ≤ πP(0) is the probability that the random variable θ takes the value 0.

The probability that θ takes a specific value in a continuous uniform distribution is zero. Therefore, we have:

P(0) = 0Now, let us find the expected values of the given functions using the definition of the expected value.

For a continuous random variable, the expected value of a function g(θ) is given by:

E(g(θ)) = ∫g(θ)f(θ) dθ

Using the PDF we determined earlier,

we can find the expected values of the given functions as follows:

1. E(θ) = ∫θ f(θ) dθ

= ∫θ(1/π) dθ

= [θ²/(2π)]|₀^π

= π²/(2π)

= π/22. E(θ - π/2)

= ∫(θ - π/2) f(θ) dθ

= ∫(θ - π/2)(1/π) dθ

= [(θ²/2 - πθ/2)/π]|₀^π

= -π/4= -0.78543.

E(θ²) = ∫θ² f(θ) dθ

= ∫θ²(1/π) dθ

= [θ³/(3π)]|₀^π

= π²/3= 3.289864.

E(θⁿ) = ∫θⁿ f(θ) dθ

= ∫θⁿ(1/π) dθ

= [θ^(n+1)/(n+1)π]|₀^π

= π^(n+1)/(n+1)5.

E(cosθ) = ∫cosθ f(θ) dθ

= ∫cosθ(1/π) dθ

= [sinθ/π]|₀^π

= 0-0=06.

E(sinθ)= ∫sinθ f(θ) dθ

= ∫sinθ(1/π) dθ

= [-cosθ/π]|₀^π

= 0-0=07.

E(|cosθ|) = ∫|cosθ| f(θ) dθ

= ∫|cosθ|(1/π) dθ

= [2/π]|₀^(π/2)+[-2/π]|^(π/2)_8.

E(cos 2θ) = ∫cos 2θ f(θ) dθ

= ∫cos 2θ(1/π) dθ

= [sin 2θ/2π]|₀^π

= 0-09.

E(sin 2θ) = ∫sin 2θ f(θ) dθ

= ∫sin 2θ(1/π) dθ

= [-cos 2θ/2π]|₀^π

= 0-010. E(cos²θ + sin²θ)

= ∫(cos²θ + sin²θ) f(θ) dθ

= ∫(1/π) dθ= [θ/π]|₀^π

= π/π

= 1

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Answer:

$10

Explanation:

If you only have to pay $5 of the $15 you gave him, he has to pay you 15-5 or $10 back.

The Law of Large Numbers is a fundamental concept in probability theory and statistics stating the number of trials of a random event increases, the average of the outcomes approaches the expected value of the event. It's better to use 500 trials.

In other words, as we repeat an experiment a large number of times, the proportion of times that a certain outcome occurs will converge to its probability of occurrence. This is an important concept in statistical inference, as it helps to ensure that the results of a sample are representative of the population from which it was drawn.

Now, if you were using the relative frequency of an event to estimate the probability of the event, it would be better to use 500 trials rather than 100 trials. The reason is that the larger the number of trials, the more accurate the estimate of the probability is likely to be.

Using a larger sample size reduces the impact of random variation and provides a more precise estimate of the true probability. The Law of Large Numbers tells us that as the sample size increases, the relative frequency of the event should converge to the true probability, so a larger sample size will generally give a more reliable estimate

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The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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The cruise ship will travel 1200 miles in approximately 2 days.

Speed is defined as, the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered.

Given that, A cruise ship can travel at a constant speed of 24 miles per hour

We know, speed = distance/time

Time taken by ship = 1200/24 = 50 hours

50 hours ≈ 2 days

Hence, The cruise ship will travel 1200 miles in approximately 2 days.

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The correct answer is (a) standard deviation. The measure of central tendency that is NOT included among the given options is the standard deviation (a).

Measures of central tendency are statistical measures that represent the central or average value of a dataset. They provide insight into the typical or central value around which the data tends to cluster. The three commonly used measures of central tendency are the mean, median, and mode.

a. Standard deviation is not a measure of central tendency. It is a measure of dispersion or variability in a dataset. It quantifies how spread out the data points are from the mean. Standard deviation provides information about the spread or scatter of the data rather than representing a central value.

b. Median is a measure of central tendency that represents the middle value in a dataset when the data points are arranged in ascending or descending order. It divides the data into two equal halves.

c. Mean is a measure of central tendency that represents the arithmetic average of a dataset. It is calculated by summing all the data points and dividing by the total number of observations.

d. Mode is a measure of central tendency that represents the most frequently occurring value or values in a dataset. It identifies the value(s) that appear(s) with the highest frequency.

Therefore, the standard deviation (a) is the measure of central tendency that is NOT included among the given options.

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Answer:

it rlly just depends on the number most higher numbers are up and lower are down

Answer:

Depends on inequality sign

Step-by-step explanation:

if y > that means you shade above the line on a graph

if y< you shade below.

remember less than or greater than lines are dashed and less that or equal to and greater than or equal to are solid lines.

9514 1404 393

Answer:

  112°

Step-by-step explanation:

Same-side angles of a trapezoid are supplementary.

  m∠P = 180° - m∠S = 180° -68° = 112°

The angles of an isosceles trapezoid match their symmetrical counterparts.

  m∠Q = m∠P

  m∠Q = 112°

Answer:

x = 18311.61 m

Step-by-step explanation:

It is given that, An observer (O) spots a bird flying at a 55° angle from a line drawn horizontal to its nest. The distance from the observer (O) to the bird (B) is 15,000 ft. We need to find the distance between the bird and the nest. It is based on trigonometry. So,

\(\sin (35)=\dfrac{\text{opposite}}{\text{hypotenuse}}\)

Let x is the distance between the bird and the nest

So,

\(\sin (55)=\dfrac{15000}{x}\\\\x=\dfrac{15000}{ \sin(55)} \\\\x=18311.61\ m\)

So, the distance between the bird and the nest is 18311.61 m.

Answer:

8,604

Step-by-step explanation:

Answer:

16 yellow crayons

Step-by-step explanation:

34 - 18 = 16

Answer:

(f + g)(x) = 2x² - 3 + 7x + 11 + 4x² = 6x² + 7x + 8

(f - g)(x) = 2x² - 3 + 7x - 11 - 4x² = -2x² +7x - 14

To determine the loan amount Molly needs, subtract the down payment and cash allowance from the total cost of the car.

Loan amount = Total cost - Down payment - Cash allowance

To calculate Molly's monthly payment, use the Loan Calculator with the loan amount, loan term in months, and the APR of 1.9%.

To find the total interest paid, subtract the loan amount from the product of the monthly payment and the loan term.

To calculate the total cost of the car, add the down payment, cash allowance, loan amount, and total interest paid.

To calculate the loan amount Molly needs, we subtract the down payment and cash allowance from the total cost of the car. Let's assume the total cost is $X.

Loan amount = Total cost - Down payment - Cash allowance = X - $2500 - $500 = X - $3000.

To calculate Molly's monthly payment using the Loan Calculator and the 1.9% APR offer, we need to know the loan amount, the loan term in months, and the APR. Let's assume the loan term is Y months.

Using the Loan Calculator, we can determine the monthly payment based on the loan amount, loan term, and APR.

To calculate the total interest Molly will pay using this plan, we can multiply the monthly payment by the loan term in months and subtract the loan amount. This will give us the total interest paid.

Total interest = (Monthly payment * Loan term) - Loan amount.

To calculate the total cost of the car for Molly using this plan, we add the down payment, cash allowance, and the total interest paid to the loan amount.

Total cost = Loan amount + Down payment + Cash allowance + Total interest.

Please provide the values of X and Y to calculate the specific amounts.

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Answer:

Pi ~ 3.14

That is probably the best measure.

Step-by-step explanation:

Answer:

PART A- 3+D POUNDS

PARTB- 3D-12

Step-by-step explanation:

dylan-d pounds

alan-3+d pounds

bruce-3d-12

Answer:

Alan = A

Bruce = B

Cecil = C

Dylan = D

Part A     A = 2 x D + 3

Part B     B= 3 x D - 12

Part C    C= A+B     A = 2 x D + 3       B= 3 x D - 12

Part D    Cecil weighs 216 pounds

Part E     Yes, the expression can be simplified by using the Associative and Commutative Properties of addition and by combining the like terms in the expression.

Part F      5d-9

Part G      Cecil’s weight in terms of Dylan’s weight is 5d – 9.  Find Cecil’s weight by substituting Dylan’s weight (d = 45) into the expression above:

(5 × 45) − 9  = 225 − 9  = 216.

If Dylan weighs 45 pounds, then Cecil weighs 216 pounds.

Part H   Yes, the answers are the same. The expression from part D is equivalent to the expression from part G.

Part I       Bruce's weight in terms of Dylan’s weight is 3d − 12.  Alan's weight in terms of Dylan’s weight is 2d + 3.

So, the expression (3d − 12) − (2d + 3) represents how much more Bruce weighs than Alan.

Part J      The expression is (3d − 12) − (2d + 3).  Evaluate the expression by substituting Dylan’s weight (d = 45) into it:  (3 × 45 − 12) − (2 × 45 + 3)  = (135 − 12) − (90 + 3)  = (123) − (93)  = 30.

Bruce weighs 30 pounds more than Alan weighs.

Part K   (3d − 12) − (2d + 3).

First remove the parentheses:

3d − 12 − 2d − 3.

Then group the like terms:

3d − 2d − 12 − 3.

Finally, subtract the like terms:

d − 15.

The expression (3d − 12) − (2d + 3) simplifies to d − 15.

Part L    The expression is d − 15.  Evaluate the expression by substituting Dylan’s weight (d = 45) into it:  45 − 15 = 30.

Bruce weighs 30 pounds more than Alan. This is the same answer as in part J.

Step by step explanation:

So you basically want to focus on Alan and Bruce they will help you get the rest of your answers

Note:

Some of these are direct answers from Edmentum

The rapidly increase of radius of spill is

when the area is 8 is 0.9 miles/hr.

let the radius and area of oil spill be r and A .

we have given that,

Area increases at a constant rate of 6 miles²/hr i.e., dA/dt = 9

we have to find out the rapid change in radius of circle i.e., dr/dt = ?

Area of circle (A) = π r²

Takeing the derivative with respect to time

dA/dt = 2 π r × (dr/dt)

Substitute values and solve for dr/dt:

When A = 8 -> 8 = π r²-> r = sqrt(8/π)

putting all values in equation (1) we get,

9= 2 π sqrt(18/π) × (dr/dt)

dr/dt = 9/2(π× sqrt(8/π)) miles/hr

=> dr/dt = 9/10.023 = 0.89

Hence , 0.9miles / hr is rate of change of radius of oil spill when area is 8.

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