the time it takes to type on a page of paper is partly constant and partly inversely proportional to the numbers of what type it is 1 hour to type 180 was a 45-minute to 120words how long will it take to type 100 words the time it takes to type on a page of paper is partly constant and partly inversely proportional to the numbers of what time it takes 1 hour to type 180 words and 45 minutes with 120 words how long will it take to type 100 words



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Answer:

A 6-sided shape is a hexagon.

The price of the TV, including tax, is $161.17 rounded to the nearest cent. To find the price of the TV including tax, we need to calculate the sale price of the TV after the 15% discount, add the sales tax, and then round to the nearest cent.

Here are the steps:

Calculate the sale price after the 15% discount:

Sale price = Original price - Discount amount

Sale price = $177.21 - (15% * $177.21)

Sale price = $150.63

Calculate the sales tax on the sale price:

Sales tax = 7% * $150.63

Sales tax = $10.54

Add the sales tax to the sale price:

Price including tax = Sale price + Sales tax

Price including tax = $150.63 + $10.54

Price including tax = $161.17

Therefore, the price of the TV, including tax, is $161.17 rounded to the nearest cent.

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From the following sets of ordered pairs, line c, (3, 6) and (5, 1), has a negative slope.

To determine the slope of a line given two points, we can use the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

If the slope is negative, it means the line is decreasing as we move from left to right, or in other words, it has a negative slope.

Let's apply the formula to each set of ordered pairs:

A. slope = (1 - 5) / (0 - 5) = -4 / -5 = 4/5 (positive slope)

B. slope = (-1 - 3) / (-4 - 2) = -4 / -6 = 2/3 (positive slope)

C. slope = (1 - 6) / (5 - 3) = -5 / 2. (negative slope)

D. This set has only one point (2, 3) and is therefore not sufficient to define a line.

Therefore, only option C has a negative slope. Option B has a positive slope. Option A has a positive slope. Option D is not sufficient to define a line.

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The equation represents the amount of cards Stacy has: y = 2x + 3

At the beginning, Stacy has 3 collector's cards. Then, for every week she volunteers at the student center, she receives 2 more cards.

Let x = the number of weeks.

y = the number of collector’s cards.

So, after x weeks, she will have received 2x more cards. Therefore, the equation that represents the amount of cards Stacy has after x weeks is:

y = 2x + 3

Where y represents the number of collector's cards and x represents the number of weeks Stacy has volunteered at the student center.

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the dimensions of the largest mosaic he can make on that wall are 840 by 700cm.

What is a rectangle?

Rectangles are quadrilaterals in the Euclidean plane of geometry that have four right angles. A closed, four-sided rectangle is a two-dimensional shape, according to a number of definitions, as is an equiangular quadrilateral. All of a rectangle's angles are exactly 90 degrees, and its opposite sides are equal and parallel to one another.

Rectangle area is equal to A = a*b.

From the given data, the dimension of the scale model shown as a plan for a large wall mosaic are: 10m =1000cm

Now the wall of width 700cm

The scale factor 700/10 =7

hence increase in width by same scale factor 70*12 = 840

Therefore, the dimensions of the largest mosaic he can make on that wall are 840 by 700cm.

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the type of slope of the line is positive, as the coefficient of x (which is the slope) is positive. The y-intercept is -0.9, which means that the line intersects the y-axis at the point (0, -0.9).

The equation of the line y = 1.4x - 0.9 is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. Comparing the given equation with the slope-intercept form, we can see that the slope is 1.4 and the y-intercept is -0.9. Therefore, the type of slope of the line is positive, as the coefficient of x (which is the slope) is positive. The y-intercept is -0.9, which means that the line intersects the y-axis at the point (0, -0.9). The y-intercept, on the other hand, is the point where the line intersects the y-axis. In the equation y = mx + b, b is the y-intercept. In the case of the given equation, we can see that the y-intercept is -0.9. This means that the line intersects the y-axis at the point (0, -0.9). The slope and y-intercept are important characteristics of a line because they can be used to graph the line and to write its equation in slope-intercept form. In addition, they can be used to calculate the x-intercept, which is the point where the line intersects the x-axis, and to determine the equation of a parallel or perpendicular line.

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As the number of years since 2000 increases, the number of subscribers to the magazine will approach zero, since the linear function p(x) = -4200x + 25000 is decreasing and has a negative slope.

What is a function ?

Function can be defined in which it relates an input to output.

The number of subscribers to the magazine is decreasing at a constant rate. This means that the relationship between the number of subscribers and the number of years since 2000 can be modeled by a linear function.

To find the function that best represents this relationship, we can use the two-point form of a linear equation. We will use the points (0, 25000) and (4, 10240) from the table.

The slope of the line passing through these two points is:

slope = (y2 - y1) / (x2 - x1)

= (10240 - 25000) / (4 - 0) = -4200

Using the point-slope form of a linear equation with the point (0, 25000), we get:

y - y1 = m(x - x1)

y - 25000 = -4200(x - 0)

y - 25000 = -4200x

y = -4200x + 25000

Therefore, the function that best represents the relationship between the number of subscribers and the number of years since 2000 is:

p(x) = -4200x + 25000

where x is the number of years since 2000 and p(x) is the number of subscribers to the magazine.

Using this function, we can find the number of subscribers to the magazine for any given year. For example, to find the number of subscribers in the year 2007 (7 years since 2000), we would substitute x = 7 in the function:

p(7) = -4200(7) + 25000

p(7) = 21800

Therefore, the number of subscribers to the magazine in the year 2007 is 21800.

Therefore, As the number of years since 2000 increases, the number of subscribers to the magazine will approach zero, since the linear function p(x) = -4200x + 25000 is decreasing and has a negative slope.

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The probability of at least 30 left-handed individuals in a sample of 100

What is boinomial probability ?

Binomial probability refers to the probability of a particular number of "successes" occurring in a fixed number of independent trials. In other words, it calculates the probability of a specific outcome happening a certain number of times in a given set of trials.

The binomial probability formula is:

P(X=k) = (n choose k) *[tex]p^{k}[/tex] * [tex](1-p)^{(n-k)}[/tex]

where:

P(X=k) is the probability of getting k successes in n trials

n is the number of trials

k is the number of successes

p is the probability of success on a single trial

(n choose k) is the binomial coefficient, which represent

He probability of selecting at least 30 left-handed individuals out of a sample of 100 adults in the US can be calculated using the binomial probability formula with x counting the number who are left-handed.

However, we must be careful when applying the formula to this problem because the sample is selected without replacement. The binomial distribution assumes that each trial is independent of the others, which is not the case when sampling without replacement.

In cases where the sample size is much smaller than the population size, the effect of not replacing the selected individuals is negligible. However, when the sample size is a substantial portion of the population size, as in this case, the probability of selecting an individual who is left-handed changes after each selection. This means that the probabilities of each selection are not independent, and the binomial formula cannot be used.

Therefore, to accurately calculate the probability of at least 30 left-handed individuals in a sample of 100 adults selected in the US without replacement, we need to use a different probability distribution, such as the hypergeometric distribution.

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The 55-gallon drum size is a popular choice for storing and transporting materials because it is convenient, cost-effective, and safe.

The size of the 55-gallon drum is not arbitrary. It is a standard size that has been adopted by industry and regulatory agencies for many practical reasons.

Firstly, the 55-gallon drum is a convenient size for handling and transport. It is large enough to hold a significant amount of material but still small enough to be moved around with relative ease. Its cylindrical shape makes it easy to roll and stack, which saves space and simplifies handling.

Secondly, the 55-gallon drum is a cost-effective option for storage and transport. Its size allows for efficient use of space and materials, which translates into lower costs for manufacturers and shippers.

Thirdly, the 55-gallon drum size is closely linked to regulatory standards. Many regulations and guidelines in the industry specify the use of 55-gallon drums for storing and transporting hazardous materials. This is because the size is considered to be a safe and manageable option for handling such materials.

Its dimensions have been standardized by industry and regulatory agencies, making it a common sight in many settings.

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In Python, the term "hitters data" refers to a dataset that details the hitting statistics of Major League Baseball (MLB) players.

It is a well-known dataset in the area of sports analytics and is frequently utilized in applications for data analysis and machine learning.

The player name, team, and different statistics like hits, runs, home runs and batting averages are often variables in the Hitters dataset. To examine player performance and spot trends or patterns in the data, the dataset may be employed.

The Hitters dataset may be imported and worked with in Python using a variety of tools, including Pandas, NumPy, and Scikit-learn. Based on Hitter's data, these libraries enable data cleansing, exploratory analysis, and the construction of predictive models.

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A graph of the function,

f(x) = log₃(x - 1) + 2 is given in the image below.

The inverse of exponentiation is the logarithm. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.

Given:

A function,

f(x) = log₃(x - 1) + 2.

let y = f(x) = log₃(x - 1) + 2.

To find the y-intercept:

y = log₃(-1) + 2

y = 1.111

Therefore, the graph of the function is given in the attached image.

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(a) The additional equation that will complete the system of equations with no solution is -2x + 3y = 7 and 4x - 6y = -16.

(b) The additional equation that will complete the system of equations with  one solution is 2x + y = 8 and 3x - 2y = 7

(b) The additional equation that will complete the system of equations with infinitely many solutions is 4x - 6y = 12 and 2x - 3y = 6

Some additional equations that can complete systems with no solution, one solution, and infinitely many solutions:

No solution:

-2x + 3y = 7

4x - 6y = -16

One solution:

2x + y = 8

3x - 2y = 7

Infinitely many solutions:

4x - 6y = 12

2x - 3y = 6

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The two compositions evaluated in x = -2 are:

(r o q)(-2) = 6

(q o r)(-2) = -25

Here we know the functions:

q(x)=  -3x - 1

r(x) = 2x - 4

And we want to find the two compositions in x = -2

First:

(r o q)(-2) = r( q(-2))

First, evaluating q(x) in -2

q(-2) = -3*-2 - 1= 6 - 1 = 5

Then:

r( q(-2)) = r(5) = 2*5 - 4 = 6

(r o q)(-2) = 6

The second one is:

(q o r)(-2) = q(r(-2))

Evaluating r in -2 we get:

r(-2) = 2*-2 - 4 = -4 - 4 = -8

Then:

q(r(-2)) = q(-8) = -3*8 - 1 = -25

(q o r)(-2) = -25

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From the decimal theory 10 has no decimal places, as it is a whole number.

As per the data given in the above question are as bellow,

The provided details are as bellow,

We have given the number as 10.

we have to find the decimal in the given number.

Thus we have to know about decimal value.

The tenths place is represented by the first digit following the decimal. The hundredths place is represented by the digit that follows the decimal. Up until there are no more digits, the remaining ones keep the place values filled in.

Here don't have any decimal value in the given number 10.

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She should figure out how many calories she burned compared to how many miles she ran, which is the proper statement.

When two amounts are quantitatively related, it is possible to see how many times one value contains or is contained by the other. for instance, "There are now two computers for every student."

Given here: The table containing data calories vs miles run.

Calculating the ratio between each pair of data in a table allows you to determine whether a proportional relationship is there. The table depicts a proportionate relationship if all of those ratios are the same.

Thus calculating the ratio for each pair of entries we get

1) ratio=118/1.2

=295:3a  or unit rate 98.33 calories per mile

2) 190/2= 95:1 or unit rate 95 calories per mile

3) 226/2.4=565:6 or unit rate94.1

clearly, the ratios are different.

Hence, the table containing the data doesn't form a proportional relationship.

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Option A) "Cannot be negative" is a correct statement about the F distribution. The F distribution is a probability distribution that is used in statistical hypothesis testing to compare the variances of two populations.

The assertion "cannot be positive" about the F distribution is erroneous. The F distribution can only accept positive values and cannot accept negative values; however, it can accept values greater than zero.

"Is the same as the t distribution" is an error. When the sample size is small or the population standard deviation is unknown, the t distribution is employed for testing hypotheses regarding the population mean.

"Is the same as the z distribution" is similarly erroneous. When the population standard deviation is known and the sample size is large, the z distribution is employed as a probability distribution.

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The regression calculator is a useful tool for making predictions based on historical data. This calculator is used to predict future outcomes based on past patterns.

To use the regression calculator, you must first collect the historical data that you want to use to predict the future. This can be anything from the number of sales of a product to the number of visitors to a website.

Once the data has been collected, you need to enter the regression calculator. This calculator will allow you to enter the data and then generate a regression model. This will give you a trend line that will fit the data you have entered. This trend line will allow you to predict the future outcome with some accuracy.

To make a reasonable prediction, you will need to adjust the model to ensure that the results are as accurate as possible. This is achieved by varying the parameters of the model, such as the type of regression (linear, polynomial, etc.), the number of variables and the variable boundaries. These parameters will influence the accuracy of the prediction.

Once the model is ready, predictions can be made using the trend line. The trend line will give you a prediction for the future based on the historical data entered. This will help you make informed decisions about the future.

In summary, the regression calculator is a useful tool for predicting the future based on past patterns. For best results, you should carefully adjust the model parameters to obtain an accurate trend line. This will allow you to make reasonable predictions regarding the future.

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Answer:

The value of the given expression to the nearest integer is 114,126.

Step-by-step explanation:

[tex]\displaystyle \sum^{29}_{n=2}80\left(1.23\right)^{n-2}[/tex]

The given sigma notation means

As 80(1.23)ⁿ⁻² is exponential, the series is geometric.

[tex]\boxed{\begin{minipage}{5.5 cm}\underline{Geometric sequence}\\\\$a_n=ar^{n-1}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\\phantom{ww}$\bullet$ $r$ is the common ratio.\\\phantom{ww}$\bullet$ $a_n$ is the $n$th term.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}[/tex]

Therefore, the first term, a, is 80 and the common ratio, r, is 1.23.

The formula for the sum of the first n terms of a geometric series is:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

As the exponent of the sigma notation is (n - 2) rather than (n - 1), and the given values of n are from n = 2 to n = 29, we need to find the sum of the first 28 terms.

Therefore, substitute a = 80, r = 1.23 and n = 28 into the sum formula:

[tex]\implies S_{28}=\dfrac{80\left(1-1.23^{28}\right)}{1-1.23}[/tex]

[tex]\implies S_{28}=114125.755...[/tex]

[tex]\implies S_{28}=114126[/tex]

Therefore, the value of the given expression to the nearest integer is 114,126.

The directrix of the parabola defined by the equation (x+9)²= -16(y-5) is x=-16(y-5)+9.

Equation is a physical and mathematical statement that describe physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variables may be pointed such as you energy.

The directrix of a parabola is the line which is perpendicular to the axis of symmetry and is equidistant from the focus of the parabola. In this case, the axis of symmetry is y=5 and the focus is (9,-16).

The equation of a line perpendicular to the axis of symmetry is y=mx+b where m is the slope of the line and b is the y-intercept. The slope of the line perpendicular to the axis of symmetry is given by the negative reciprocal of the slope of the axis of symmetry. The slope of the axis of symmetry is 0, so the slope of the perpendicular line is undefined.

Using the point-slope form of the equation of a line, we can represent the equation of the directrix as x=-16(y-5)+9. This is because the point (9,-16) is equidistant from the directrix, so the y-intercept of the directrix is -16(5-5)+9 = 9.

Therefore, the directrix of the parabola defined by the equation (x+9)² = -16(y-5) is x=-16(y-5)+9.

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If the rate of interest is 5%, compounded continuously, t =13.86

years.

Let P be the initial value of the investment.

According to the problem, the investment grows to three times the initial value after t years. This can be expressed mathematically as:

P * e^(0.05t) = 3P

where e is the mathematical constant e (approximately 2.71828).

Simplifying this equation:

e^(0.05t) = 3

Taking the natural logarithm of both sides:

ln(e^(0.05t)) = ln(3)

0.05t = ln(3)

Dividing both sides by 0.05:

t = ln(3) / 0.05 ≈ 13.86

Rounding to the nearest hundredth, we get:

t ≈ 13.86 years.

Compound interest is a type of interest calculation where the interest earned on an investment is added to the principal (the initial amount invested), and then the total amount is used to calculate the interest earned for the next time period.

This means that the interest earned on an investment increases over time, as the interest earned in previous periods is added to the principal. This can result in significant growth in the value of the investment over time, particularly for long-term investments.

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6= 130

is the first 1 I'm sorry i don't the rest

Answer:

400 m

Step-by-step explanation:

According to Pythagorean theorem, c^2 = a^2 + b^2

c^2 = 600^2 + 800^2 = 360000 + 640000 = 1000000

c = √1000000 = 1000 mm

(600 + 800) - 1000 = 1400 - 1000 = 400

Answer:

GJ=6.5, JH=9.2

Step-by-step explanation:

To find the average value of a function from a graph, you can follow these steps:

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Answer:hello again

Step-by-step explanation:

When two companies have a correlation value of -0.95, there is less than zero covariance between their returns. So statement d is correct.

The correlation coefficient is an important measure that helps to establish a relationship between two variables. Its value is mostly between +1 to -1. Therefore, the value can be positive, negative, or zero. Based on this the types of correlation are positive correlation, negative correlation, and no relation.  This is calculated for the given condition using the below formula,

[tex]\text{correlation coefficient}=\frac{\text{covariance of security}}{\text{SD of security 1}\times\text{SD of security 2}}[/tex].

Here, the SD (standard deviation) is always positive, and the covariance value should be negative or less than zero so that the correlation coefficient of the two companies will be negative (as -0.95). From the given option, d is correct.

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According to CDC data as of 2021, the average height for adult men in the United States is around 5 feet 9 inches (69.2 inches or 175.7 cm), and the average height for adult women is around 5 feet 4 inches (64.2 inches or 162.5 cm).

Height is a measure of the distance between the base of an object and its highest point. Human height is commonly described as the vertical distance between the bottom of the feet and the top of the head. Height is generally measured in centimetres or feet and inches. Height is an important physical feature that can be influenced by both inherited and environmental factors such as nutrition and physical activity.

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Answer:

First one is the true statement

<TUV ~<CED

Answer: 69, 420

Step-by-step explanation:

grrrr