ummmm??????? pls immmmm confused help pls

Answer:

y = 1/3x + 1

Step-by-step explanation:

4-3/9-6

1/3.  slope = 1/3 = m

2. plug the values into the equation to find y-int. You can use whichever point is given to you

I'll use (6,3)

y = mx + b

3 = 1/3(6)+b

1/3(6)=2

3 = 2 + b

3. subtract 2 from both sides and you get b

b = 1

So, the equation of the line would be

y = 1/3x + 1

Answer:

x = - 1 , x = - 3.5

Step-by-step explanation:

the absolute value function always gives a positive value

however, the expression inside the bars can be positive or negative, that is

4x + 9 = 5 or - (4x + 9) = 5

solving both

4x + 9 = 5 ( subtract 9 from both sides )

4x = - 4 ( divide both sides by 4 )

x = - 1

or

-(4x + 9) = 5

- 4x - 9 = 5 ( add 9 to both sides )

- 4x = 14 ( divide both sides by - 4 )

x = \(\frac{14}{-4}\) = - 3.5

As a check

substitute these values into the left side and if equal to the right side then they are solutions

x = - 1

| 4(- 1) + 9 | = | - 4 + 9 | = | 5 | = 5 ← true

x = - 3.5

| 4(- 3.5) + 9 | = | - 14 + 9 | = | - 5 | = 5 ← true

then solutions are x = - 1 , x = - 3.5

The 5 most common Pythagorean triples are ( 3 , 4 , 5 ) , ( 5 , 12 , 13 ) ,

( 6 , 8 , 10 ) , ( 9 , 12 , 15 ) , and ( 15 , 20 , 25 ) .

Pythagorean triples:

Any three positive integers that completely satisfy the Pythagorean theorem is considered a Pythagorean triple number. According to the theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a right triangle. A Pythagorean triple consists of the three sides of a right triangle. In this article, you will learn how to create multiple Pythagorean triples.

A Pythagorean triple consists of the three natural numbers a, b, c such that a² + b² = c². These triples are usually written as (a, b, c), examples

(3, 4, 5) are well known. If (a, b, c) is a Pythagorean triple, then (ka, kb, kc) is also a Pythagorean triple for all natural k. A primitive Pythagorean triplet is a triplet in which a, b, and c are coprime (i.e., have no common divisor greater than 1). For example, (3, 4, 5) is a basic Pythagorean triple, but (6, 8, 10) is not.

A triangle whose sides form a Pythagorean triple is called a Pythagorean triangle and is necessarily a right triangle.

This name comes from the Pythagorean theorem, which states that the side lengths of each right triangle satisfy the formula a² + b² =c². A Pythagorean triple gives the length of three integers of the sides of a right triangle. However, right triangles whose sides are not integers do not form a Pythagorean triple. For example, a triangle with sides a = b = 1 and c = √2 but, (1,1,2) is not a Pythagorean triple because √2 is not an integer. Also, the numbers 1 and √2 do not have a common multiple because √2 is irrational.

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Simple random sampling is a method of selecting a sample from a larger population in a way that gives each member of the population an equal chance of being selected. This method is considered the most basic and straightforward way of selecting a sample.

The first step in simple random sampling is to list all the members of the population in a list or a table. Once this is done, a random number generator, such as a random number table or a computer program, is used to select a certain number of individuals from the list. The number of individuals selected is determined by the desired sample size.

It is important to note that in simple random sampling, each member of the population has an equal chance of being selected, and that each possible sample of a given size has an equal chance of being chosen. This means that if the same sampling process is repeated multiple times, different samples will be obtained.

Simple random sampling is considered a fair and unbiased method of sampling as it eliminates any personal bias or systematic error in the selection of the sample. It also allows for the estimation of population characteristics, such as mean and standard deviation, with a known level of precision.

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We are working with a circle and a quadrilateral that is encircled by the circle in the provided situation. Since a circle has a circumference of 360 degrees, the quadrilateral's inscribed angles add up to 360 degrees.

We can rewrite the equation as 12 times the measure of angle EFG + 12 times the measure of angle GDE equals 180° by using the angle addition postulate.

This enables us to make the equation simpler. The measure of angle D is one-twelfth of the measure of angle GDE, and the measure of angle F is one-twelfth of the measure of angle EFG, according to the inscribed angles theorem.

As a result, according to the angle addition postulate, the sum of angles D and F is equal to 180°.

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As per the volume of the rectangular tank, the dimensions are 13.78 x 379.82 x 13.78

Volume of rectangle:

The general formula to calculate the volume of the rectangle is

V = length x width x height.

Given,

A rectangular tank that is 5234 ft^3 with a square base and open top is to be constructed of sheet steel of a given thickness.

Here we need to find the dimensions of the rectangular tank,

As per the given volume of rectangular tank, when we equate this with the formula, then we get,

=> 5234 = length x width x height.

Let us consider the length and the width are equal then we get the value of height as.

=> height = 5234/length

So, the value is calculated by using the surface area formula,

=> A = length² + 5234/length

When we differentiate the surface area with respect to

=> dA/dl = 2l - 5234/l²

To minimize the surface area, so dA/dl = 0,

=> 2l = 5324/l²

=> 2l³ = 5234

=> l³ = 2617

=> l = ∛2617

Therefore, the value of length is 13.78

Then the height is calculated as.

=> h = 5234/13.78 = 379.82

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Answer:

Step-by-step explanation:

\(.\frac{5}2} w-11 > =31\)

or \(.\frac{5}{2} w +11 > =31\)

there can be another way to solve the situtation

With the help of the figure we can say that triangles are congruent by SAS Rule

What is Congruence of Triangle?

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides are equal and all three of their corresponding angles are equal in size. These triangles can be moved, rotated, flipped, and turned to look exactly the same.

Solution:

By SAS rule, two triangles are said to be congruent if any two sides and the angle included between the sides of one triangle are comparable to the corresponding two sides and the angle included between the sides of the second triangle.

In given figure, sides AB= PQ, BC=QR and angle between AB and BC equal to angle between PQ and QR i.e. ∠B = ∠Q. Hence, Δ ABC ≅ Δ PQR.

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Answer:

8

Step-by-step explanation:

1. 5/5+7=?

The fraction means divide, so you divide 5 by 5. When you divide a number by the same number, it equals one. So 5 divided by 5 equals 1.

2. 1+7=?

The next step after dividing the fraction is you add the two numbers together. so 1 plus 7 equals 8.

The approximate mean for the given data set is 27.6, rounded to one decimal place.

To approximate the mean for the given data set, we can calculate the weighted average of the class midpoints, where each midpoint is multiplied by its corresponding frequency.

The class midpoints can be obtained by taking the average of the lower and upper class limits.

For the given data set, the class midpoints would be:

Midpoint of 0-8: (0 + 8) / 2 = 4

Midpoint of 9-17: (9 + 17) / 2 = 13

Midpoint of 18-26: (18 + 26) / 2 = 22

Midpoint of 27-35: (27 + 35) / 2 = 31

Midpoint of 36-44: (36 + 44) / 2 = 40

Midpoint of 45-53: (45 + 53) / 2 = 49

Next, we calculate the weighted average by multiplying each midpoint by its corresponding frequency, and then dividing the sum of these products by the total frequency.

Using the given frequencies, the weighted average would be:

(2 * 4 + 12 * 13 + 5 * 22 + 12 * 31 + 14 * 40 + 5 * 49) / (2 + 12 + 5 + 12 + 14 + 5) = 27.6

Therefore, the approximate mean for the given data set is 27.6, rounded to one decimal place.

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The best interpretation of this result is a. We can not conclude whether earning more money causes more recycling among U.S. adults because this type of study does not allow us to infer causation.

Causation cannot be deduced from the study's design (CORRELATION ≠ CAUSATION). The strength and direction of a relationship between two or more variables are described by the statistical measure of correlation, which is given as a number.

However, a correlation between two variables does not necessarily imply that a change in one variable is the reason for a change in the values of the other.

There is a causal relationship between the two occurrences, which means that causation shows that one event is the outcome of the occurrence of the other event. This concept is also known as cause and effect.

The adage "correlation does not imply causation" relates to the difficulty of establishing a cause-and-effect connection between two variables or events based merely on the observation of their association or correlation.

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The possible values of x according to the give. equation are; 0, ±√3i, ±2i, i, -1.

The possible values of x in the equation given in the task content represent the zeroes of the equation and can be determined as follows;

(x²+3) (x³+4x) (x²+x-i-xi) = 0.

Hence, by further factorisation; we have;

x(x²+3) (x²+4) (x-i) (x+1) = 0.

The possible values of x are therefore;

x = 0;

x²+3 = 0; x = ±√3i

x² +4 = 0; x = ±2i

x -i = 0; x = i.

x +1 = 0; x = -1

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The upper bound for the probability that the weight of a randomly chosen Maine black bear is at least 200 pounds heavier than the average weight of 650 pounds is 1/4 or 0.25.

To answer the question, we will use the Chebyshev inequality to determine an upper bound for the probability that the weight of a randomly chosen Maine black bear is at least 200 pounds heavier than the average weight of 650 pounds.

The Chebyshev inequality states that for any random variable W with expected value E[W] and standard deviation σ_W, the probability that W deviates from E[W] by at least k standard deviations is no more than 1/k^2.

In this case, E[W] = 650 pounds and σ_W = 100 pounds. We want to find the probability that the weight of a bear is at least 200 pounds heavier than the average weight, which means W ≥ 850 pounds.

First, let's calculate the value of k:
850 - 650 = 200
200 / σ_W = 200 / 100 = 2

So k = 2.

Now, we can use the Chebyshev inequality to find the upper bound for the probability:

P(|W - E[W]| ≥ k * σ_W) ≤ 1/k^2

Plugging in our values:

P(|W - 650| ≥ 2 * 100) ≤ 1/2^2
P(|W - 650| ≥ 200) ≤ 1/4

Therefore, the upper bound for the probability that the weight of a randomly chosen Maine black bear is at least 200 pounds heavier than the average weight of 650 pounds is 1/4 or 0.25.

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Answer:

u = 4

v = 18

Step-by-step explanation:

in a parallelogram, diagonals bisect each other into two equal segments so we can do the following:

2u+2 = 5u-10

subtract '2u' from each side to get:

2 = 3u-10

add 10 to each side to get:

12 = 3u

12/3 = u

u = 4

To solve for 'v':

v/3 = 6

multiply each side by 3 to get:

v = 18

The amount included in E's employment income for tax purposes in the current year is $7,000.

To determine the amount included in E's employment income for tax purposes in the current year, we need to calculate the taxable benefit resulting from the interest-free or low-interest loan provided by her employer.

First, let's calculate the interest expense for each quarter of the year:

1st quarter (3 months) at 4% interest rate:

Interest expense = $200,000 * 0.04 * (3/12) = $2,000

2nd to 4th quarters (9 months) at 5% interest rate:

Interest expense = $200,000 * 0.05 * (9/12) = $7,500

Next, we need to determine the taxable benefit using the prescribed rates set by the tax authorities.

For an interest-free or low-interest loan, the taxable benefit is calculated as the difference between the interest that would have been paid at the prescribed rates and the actual interest paid.

1st quarter taxable benefit:

Prescribed rate: 1%

Taxable benefit = $2,000 - ($200,000 * 0.01 * (3/12)) = $1,000

2nd to 4th quarters taxable benefit:

Prescribed rate: 1%

Taxable benefit = $7,500 - ($200,000 * 0.01 * (9/12)) = $6,000

Finally, we sum up the taxable benefits for each quarter:

Total taxable benefit = $1,000 + $6,000 = $7,000

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Answer:

D

Step-by-step explanation:

If we reduce \(\frac{15}{12}\) This comes to \(\frac{5}{4}\).  Thus D is the answer

The cost to move in for Victoria and Michael is $7,645.

The cost to move into the apartment for Victoria and Michael can be found by calculating the sum of the application deposit, credit report cost, security deposit, first and last month's rent, and the broker fee.

Using the given information:

$150 is the application deposit

$35 is the cost of the credit report

Security deposit is 1 month's rent which is $2,200

First and last month's rent are also $2,200 each.

Thus, the total amount for these two months will be $4,400

The broker charged 2.5% of the yearly rent.

The yearly rent is $2,200 × 12 months = $26,400.

Therefore, the broker fee will be 2.5% of $26,400 which is $660.

Total cost to move in = $150 + $35 + $2,200 + $2,200 + $660 + $2,200 = $7,645

Therefore, the cost to move in for Victoria and Michael is $7,645.

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The P-value of the test statistic is 0.0294.

To determine the P-value, we need to calculate the test statistic first. Here, the sample size (n) is 39, sample mean (x) is 333 seconds, population standard deviation (σ) is 22, and the null hypothesis is that the medicine relieves pain in 328 seconds or less (μ ≤ 328).

The test statistic can be calculated using the formula:

Substituting the values, we get:

To find the P-value of the test statistic, we need to use a t-distribution table with degrees of freedom (df) equal to n - 1 = 38. At a significance level of 0.01 and df = 38, we find the critical value to be 2.704.

Since the calculated t-value (1.8469) is less than the critical value (2.704), we fail to reject the null hypothesis. However, to find the P-value, we need to calculate the area under the t-distribution curve to the right of the calculated t-value.

Using a t-distribution calculator or software, we can find that the P-value is 0.0294. Since this value is less than the significance level of 0.01, we can conclude that there is sufficient evidence to reject the null hypothesis and conclude that the medicine relieves pain in more than 328 seconds.

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The two consecutive integers are 21 and 22.

Two consecutive integer numbers can be written as x and x + 1.

The lesser of these two numbers is x, and we know that it is 10 more than one-half of the greater integer, then we can write:

x = 10 + (x + 1)/2

Now we can solve that equation for x:

x = 10 + (x + 1)/2

2x = 20 + (x + 1)

2x = 21 + x

x = 21

Then the lesser number is x = 21 and the larger number is x + 1 = 22

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For a storage bin of rectangular prism and volume of prism, 10x³ + 9x² + 2x, then the linear expressions can represent possible dimensions of the bin is x( 2x + 1)(5x+2).

The volume of a rectangular prism is also called the capacity that it can hold or the space occupied by it. The formula used to calculate the volume of a rectangular prism is written as Volume (V) = height of the prism × width × length--(1). It is represented in cubic units such as cm³, m³etc. We have a storage bin in the shape of a rectangular prism.

Volume of prism, V = 10x³ + 9x² + 2x.

We have to determine the linear expression which represent possible dimensions of bin.

Now, Volume expression is V = 10x³ + 9x² + 2x.

Using factorization, for determining dimensions,

= x( 10x² + 9x + 2) ( taken out x )

Using the the middle term splitting in Quadratic form,

= x( 10x² + 5x + 4x + 2)

= x( 5x( 2x + 1) + 2( 2x + 1)) ( making pairs and factorize)

V = x( 2x + 1)(5x+2)

from equation (1), height of the prism × width × length that is dimensions = x( 2x + 1)(5x+2). Hence, requird expression is x ( 2x + 1)(5x+2).

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Answer:

Riley can only order 2 pizzas

Step-by-step explanation:

1. subtract delivery fee from the 20 dollars.

$20 - $6 = $14

2. Find number of pizzas with the $14 that she can use.

$14 ÷ $5 = 2 R $4

thus she can only buy 2 pizzas

and n = 2 in this case.

Since the limit of F(x) is infinity, we can conclude that F(x) = logx xlogx 5 grows at the same rate as logx as x approaches infinity. Therefore, F(x) = logx xlogx 5 is not ω(logx).

A function is a relation between sets that assigns to each element of a first set, exactly one element of the second set. Functions are typically written as an equation, with the first set (the domain) on the left side and the second set (the range) on the right side. The most common type of function is a function from real numbers to real numbers, which is often referred to as a real-valued function. Examples of real-valued functions include linear, polynomial, exponential, and trigonometric functions.


False. F(x) = logx xlogx 5 is not ω(logx). ω(logx) is a notation used to denote a function that grows faster than logx as x approaches infinity. However, F(x) = logx xlogx 5 grows at the same rate as logx as x approaches infinity. To prove this, we can calculate the limit of F(x) as x approaches infinity:

lim F(x) = lim (logx xlogx 5)

= lim (logx xlogx) lim 5

= ∞∞ 5

= ∞

Since the limit of F(x) is infinity, we can conclude that F(x) = logx xlogx 5 grows at the same rate as logx as x approaches infinity. Therefore, F(x) = logx xlogx 5 is not ω(logx).

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the magnitude of the force vector is approximately 470.41 N, and the x component of the force vector is approximately 357.98 N.

(a) The magnitude of the force vector can be found using the given information. The y component of the force is given as 311 N, and we can calculate the magnitude using trigonometry. The magnitude of the force vector can be determined by dividing the y component by the sine of the angle. Therefore, the magnitude is given by:

Magnitude = y component / sin(angle) = 311 N / sin(41.5°)

Magnitude = y component / sin(angle)

Magnitude = 311 N / sin(41.5°)

Magnitude ≈ 470.41 N

(b) To find the x component of the force vector, we can use the magnitude and the angle. The x component can be determined using trigonometry by multiplying the magnitude by the cosine of the angle. Therefore, the x component is given by:

x component = magnitude * cos(angle)

x component = magnitude * cos(angle)

x component = 470.41 N * cos(41.5°)

x component ≈ 357.98 N

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Answer: 0.18 (18 cents) per ounce

Step-by-step explanation:

2.88/16 = 0.18

Answer:

A) $425.92

Step-by-step explanation:

The new price percentage with relation to the previous can be determined by dividing \(p = \frac{484}{550}\). Once we calculate p, we can multiply it by 484, which is equivalent to applying the same discount, thus \(\frac{484}{550}484=425.92\)

Quartiles are the values that divide an ordered dataset into four equal parts, and they are frequently used in box plots to depict the distribution of data. There are three quartiles in total: the first, second (which is the median), and third quartiles.

1. Determine the quartiles of the variable:We know that the mean of the variable is 16, and the standard deviation is 2.To calculate the quartiles, we first need to standardize them and find the z-score:For Q1:z = (Q1 - μ) / σ0.25 = (Q1 - 16) / 2Q1 = (0.25 x 2) + 16 = 16.5For Q3:z = (Q3 - μ) / σ0.75 = (Q3 - 16) / 2Q3 = (0.75 x 2) + 16 = 17.5Therefore, the first and third quartiles are 16.5 and 17.5, respectively.2. Obtain and interpret the 85th percentile:The 85th percentile is the value beneath which 85% of the data falls. We can find it by calculating the z-score that corresponds to the 85th percentile and using it to find the corresponding x-value from the standard normal distribution table.z = invNorm(0.85) = 1.04x = (1.04 x 2) + 16 = 18.08The 85th percentile for this variable is 18.08, which means that 85% of all values in the dataset are beneath this value.

3. Find the value that 65% of all possible values of the variable exceed:This implies that we must first locate the 35th percentile and then add the corresponding value to the mean.z = invNorm(0.35) = -0.39x = (-0.39 x 2) + 16 = 15.22The value that 65% of all possible values of the variable exceed is 15.22.z1 = invNorm(0.025) = -1.96z2 = invNorm(0.975) = 1.96x1 = (-1.96 x 2) + 16 = 12.08x2 = (1.96 x 2) + 16 = 19.92Therefore, the two values that divide the area under the corresponding normal curve into the middle area of 0.95 and two outside areas of 0.025 are 12.08 and 19.92.

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Across the y-axis, translated 2 units to the right and four units to the left, the new function is now h(x) = -(x + 2)3 - 4

Step (i): The type of transformation change of the function

a) The translated left "c" units are x - c;

b) The translated right "c" units are x + c

Step (ii) The given function is translated "2" units right side, then the new function is

followed by the translated "4" units left sides and reflected across the y-axis.

Now the new function is h(x).

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Scales on a wall, change of units conversion

1 inch = 4 1/2 feets

7 1/8 inches = ?

First convert to fractions

(4 + 1/2) • ( 7 + 1/8) =

apply distributive law ( a+b)•(c+d)= ac + ad + bc + bd

then length of wall= 4•7 + 4/8 + 7/2 + 1/16

= 28 + 8/16 + 56/16 + 1/16

= 28 + 64/16 + 1/16

= 28 + 4 + 1/16

= 32 + 1/16

lenght is 32 and 1/16 feet

if the value of x doubles, the value of y will also double, since y is directly proportional to x with a constant of 5. Therefore, the answer is 28. So correct option is A.

In mathematics, an equation is a statement that shows that two expressions are equal to each other. An equation typically consists of two sides, the left-hand side (LHS) and the right-hand side (RHS), which are separated by an equals sign (=).

Equations are used to represent mathematical relationships and to solve problems in a variety of fields, including physics, engineering, economics, and finance. They can be linear or non-linear, and they may involve one or more variables.

If the equation is y = 5x, and the value of x doubles, then the new value of x would be 2x. To find the corresponding value of y, we can substitute 2x for x in the equation:

y = 5(2x)

y = 10x

So if the value of x doubles, the value of y will also double, since y is directly proportional to x with a constant of 5. Therefore, the answer is 28.

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Answer:

y=mx+b

b is the y intercept

b=0, so 0 is the y intercept

Step-by-step explanation: