Write the slope-intercept form of the equation.
through: (3,-5), slope = undefined

Answer: the first one

Step-by-step explanation: 9/15 is indeed less than 4/5 which u can make 12/15

Answer:

2nd chioce

Step-by-step explanation:

The histogram based on the data distribution where sample mean is less than sample median, the histogram would be skewed to the left.

Histogram is a type of visual (graphical) representation a set of data arranged in a user specific range. It is used summarize data – both discrete and continuous, measured on a interval scale.

When a data whose mean value or average value is less than the median or middle term in an ordered set is represented by a histogram, the shape of the histogram would be skewed to the left. Most of the data in such a histogram will be on the right side of the graph.

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The bonus percentage in the context of this problem is given as follows:

12%.

The bonus percentage is obtained applying the proportions in the context of the problem.

There are 24 employees and the total profit was of 1,648,000, hence the profit per employee is given as follows:

1648000/24 = 68666.67.

The amount that every employee received was of 8240, hence the bonus percentage in the context of this problem is given as follows:

8240/68666.67 x 100% = 12%.

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Answer:

3y⁵√2

Step-by-step explanation:

Answer:

Step-by-step explanation:

seventeen cus it is :)

The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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The ways through which the rigid transformation takes place are enlisted in options b),c) and d).

A rigid transformation of the plane, also known as an isometry, keeps length intact. "Rigid transformations" include reflections, translations, rotations, and combinations of these three transformations.

Each point in the original picture (pre-image) has an image that is the same distance from the reflection line as the original point, but is on the other side of the line. This transformation is known as a reflection over line m (notation rm).

As a result of the picture being identical in size and shape to the pre-image, a reflection is sometimes referred to as a rigid transformation or isometry.

The ways we could describe the rigid transformation that takes the rectangle ABCD to trapezoid AEFB are:

Rotate AEFB 180° counterclockwise around point G.

Rotate AEFB 180° clockwise around point G.

Translate AEFB by directed line segment from F to E and then reflect across line EF.

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Answer:

y=2.5x+3

Step-by-step explanation:

(0,3) shows the y-intercept of +3

Use slope formula to find the slope:

8-5.5/2-1 = 2.5

therefore the M (slope) is 2.5

Answer:

y = 2.5x + 3

Step-by-step explanation:

y2 - y1/x2 - x1 = slope

5.5 - 3 = 2.5

2 - 1 = 1

2.5/1 = 2.5

8 = 2.5(2) +b

8 = 5 + b = 3

Answer:

A

Step-by-step explanation:

because the numbers between -5 and 6 is either equal or more than -5 and less or equal to 6

Answer:

105 square meters

Step-by-step explanation:

The correct option among the given choices is $4,918.16.

To calculate the future value, we can use the formula for compound interest:

FV = P * (1 + r/n)^(n*t)

Where:

FV is the future value

P is the principal amount (initial investment)

r is the interest rate (in decimal form)

n is the number of compounding periods per year

t is the number of years

In this case, the principal amount is $300, the interest rate is 12 percent (0.12), the compounding is semiannual (n = 2), and the time period is 24 years. Plugging these values into the formula, we get:

FV = $300 * \((1 + 0.12/2)^(2*24)\)

  ≈ $300 * \(1.06^{48}\)

  ≈ $300 * 4.91816

  ≈ $1,475.45

Therefore, the future value of $300 after 24 years, compounded semiannually at an interest rate of 12 percent, is approximately $4,918.16. Among the given options, the closest match is $4,918.16.

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The inequality that compares the lengths of Alexis's fish and Mylee's fish is a > m.

We know that a > j and m represents the length of Mylee's fish. To compare the lengths of Alexis's fish and Mylee's fish, we need to express the length of Alexis's fish in terms of m.

We can do this by using the given inequality a > j and substituting j with m, since we know that Mylee also caught a fish.

So, we get a > m.

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Answer

you do 5x+70=110

Step-by-step explanation:

5x+70=110

5x=40

Divide by 5

x=8

\(\\ \sf\longmapsto f(2+h)\)

\(\\ \sf\longmapsto 4(2+h)-3\)

\(\\ \sf\longmapsto 4h+8-3\)

\(\\ \sf\longmapsto 4h+5\)

The column, bar, area, dot, pie slice, or other symbol in a chart that represents a single data point is a data marker. Data markers provide you with a visual representation of the data in a chart. For example, in a column chart, each column represents a single data point.

What is data marker? Data markers are the smallest unit of data that can be shown in a chart, and they can represent any kind of data. Each data marker can have its own label or be part of a series with other markers. Data markers can also be formatted with different colors, shapes, and sizes to differentiate between them or draw attention to specific data points.

In summary, data markers are used in charts to represent individual data points. They are often used in combination with other chart elements, such as axes, gridlines, and legends, to help viewers understand the data being presented. The column, bar, area, dot, pie slice, or other symbol in a chart that represents a single data point is a data marker. Data markers provide you with a visual representation of the data in a chart. For example, in a column chart, each column represents a single data point.

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The probability of randomly choosing a car traveling more than 75 mph is 0.1000 or 10.000%.

To answer this question, we need to know the total number of cars and the number of cars traveling more than 75 mph. Since it is not given in the question, we will assume that we are dealing with a large number of cars and that the probability of each car traveling more than 75 mph is the same.

Let's say there are 1000 cars on the road and we randomly choose one car. We can assume that each car has an equal chance of being chosen, so the probability of choosing any one car is 1/1000.

Now, let's say that 100 of those cars are traveling more than 75 mph. The probability of choosing a car traveling more than 75 mph is therefore 100/1000, which simplifies to 1/10.

To round to four decimal places, we can express this probability as a decimal: 0.1000.

So, the probability of randomly choosing a car traveling more than 75 mph is 0.1000 or 10.000%.

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According to ADA guidelines, a ramp with a two-foot vertical rise should be at least 20 feet long.

This length allows for a gentle slope that is safe and accessible for individuals with mobility impairments, including those using wheelchairs or other mobility aids. The slope of the ramp should not exceed 1:12, which means that for every inch of vertical rise, the ramp should extend 12 inches horizontally.

The ADA guidelines are designed to ensure that individuals with disabilities have safe and accessible routes of travel in public spaces. Ramps with proper dimensions and slope ratios are critical for individuals with mobility impairments to access buildings and spaces that may not be accessible via stairs. Ramps should also be designed with non-slip surfaces, handrails, and other safety features to prevent accidents and ensure that all individuals can use them safely and comfortably.

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The value of the triple integral is -16.

Triple integral is a mathematical concept used in calculus to calculate the volume of three-dimensional objects. It extends the concept of a single integral to functions of three variables and integrates over a region in three-dimensional space.

The triple integral of a function f(x, y, z) over a region E in three-dimensional space is denoted by:

∭E f(x, y, z) dV

We can set up the triple integral as follows:

∫∫∫ 16y dV

Where the limits of integration are:

0 ≤ x ≤ 2

0 ≤ y ≤ (2- \(x^2\)z)/(2y)

0 ≤ z ≤ 2/\(x^{2y\)

Note that the upper bound of integration for y is not a constant, but depends on both x and z.

Integrating with respect to y first, we get:

∫∫∫ 16y dV = ∫0^2 ∫\(0^(2-x^2z)/(2x)\)∫\(0^(2/x^2y) 16y dz dy dx\)

= ∫\(0^2\) ∫\(0^(2-x^2z)/(2x) 32/x dx dz\)

= ∫\(0^2\) [16(\(2-x^2z)/x^2\)] dz

= ∫\(0^2 (32/x^2 - 16z)\) dz

= 32∫\(0^2 x^-2 dx - 16\)∫\(0^2\)z dz

= 16 - 16(2)

= -16

Therefore, the value of the triple integral is -16.

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Answer:

2 is the answear

Step-by-step explanation:

The rate of change of the angle of elevation is -2π/3 radians/second.

We can use the tangent ratio to solve this problem. Since the rope is attached to the boat, we can draw a right triangle with the rope as the hypotenuse. The angle of elevation is the angle formed by the rope and the horizon.

The pulley is 5 feet above the water level, so the length of the opposite side (the side adjacent to the angle) is 5 feet. The length of the hypotenuse is 12 feet, since the boat is 12 feet from the dock.

Using the tangent ratio, we can calculate the angle of elevation:

tan(θ) = opp/hyp = 5/12

θ = arctan(5/12) = 0.927 rad

Now, since the rope is being pulled in at 3 ft/sec, the length of the hypotenuse is decreasing at a rate of 3 ft/sec. Therefore, the rate of change of the angle of elevation is:

rate of change of θ = -(3 ft/sec) / (12 ft) = -2π/3 radians/second

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The required points on difference between a stratified sample and a cluster sample are explained.

In a stratified sample the populace is partitioned into various portions and afterward we take irregular components from each section.

In a group test, the example is separated into sections (or bunches) and afterward the example is taken by choosing different clusters.

Consequently, in the group test we take ALL components from various bunches while in a separated example we take A few components from the various segments.

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Answer: sorry wish I could help

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

s must be a number greater than 7

A. The Moore family received 9 letters.

B. Let's break down the information given and solve for the number of letters received by the Moore family.

Let's assume the number of bills they received is x. According to the given information, the number of magazines is x + 3, and the number of ads is x + 5.

The total number of pieces of mail received is the sum of letters, magazines, bills, and ads, which is given as 23. We can write this as an equation:

Letters + Magazines + Bills + Ads = 23

Since we know the number of letters is the same as the number of bills, we can substitute x for both of them:

Letters + Magazines + x + x + 5 = 23

Simplifying the equation:

Letters + Magazines + 2x + 5 = 23

Now, we also know that the number of magazines is x + 3. Substituting this in the equation:

Letters + (x + 3) + 2x + 5 = 23

Combining like terms:

Letters + 3x + 8 = 23

Subtracting 8 from both sides:

Letters + 3x = 15

Since we are given that the number of letters is the same as the number of bills, we can substitute Letters = x:

x + 3x = 15

4x = 15

Dividing both sides by 4:

x = 3.75

Since x represents the number of bills, which is a whole number, we can conclude that the Moore family received 3 bills. Therefore, the number of letters they received is also 3, as stated in the problem.

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Explanation:

The blue rectangle has area of 4a^2*6a^2 = 24a^4

The red rectangle has area 4a^2*9a = 36a^3

The green rectangle has area 4a^2*3 = 12a^2

The total area is 24a^4 + 36a^3 + 12a^2

Therefore, the radius of convergence, r, is 1.

To find the radius of convergence, we can use the ratio test. The series is given by:

\(∑ [n=1 to ∞] ((-1)^n * n^5 * x^n) / (7^n)\)

Applying the ratio test, we evaluate the limit:

\(lim (n→∞) |((-1)^(n+1) * (n+1)^5 * x^(n+1)) / (7^(n+1))| / |((-1)^n * n^5 * x^n) / (7^n)|\)

Simplifying the expression, we have:

\(lim (n→∞) |(-1)^(n+1) * (n+1)^5 * x^(n+1) * 7^n| / |((-1)^n * n^5 * x^n) * 7^(n+1)|\)

Taking the absolute values and canceling common terms, we get:

\(lim (n→∞) |(n+1)^5 * x^(n+1)| / |n^5 * x^n * 7|\)

Next, we can simplify the expression further:

\(lim (n→∞) |(n+1)^5 * x| / |n^5 * x^n * 7|\)

As n approaches infinity, the dominant term in the numerator and denominator is n^5, so we can disregard the other terms:

\(lim (n→∞) |(n+1)^5 * x| / |n^5|\)

The limit can be evaluated as:

\(lim (n→∞) |(1 + 1/n)^5 * x|\)

Since we want the limit to be less than 1 for convergence, we have:

\(|(1 + 1/n)^5 * x| < 1\)

Taking the absolute value, we get:

\((1 + 1/n)^5 * |x| < 1\)

As n approaches infinity, the term \((1 + 1/n)^5\) approaches 1, so we are left with:

|x| < 1

This means that the series converges for values of x within the interval (-1, 1).

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