Find the orthogonal trajectories for the family of curves. (enter your solution in the form f(x, y) = c or y = f(x, c) where c is a needed constant. ) y = ce5x

The conversion of 210 lbs to kg is 95.2544 kg.

Lbs and kg are units of weight or mass used to measure the amount of matter in an object.

Lbs is an abbreviation for pounds, which is an imperial unit of weight commonly used in the United States, United Kingdom, and a few other countries. It is defined as 0.45359237 kilograms, or approximately 16 ounces.

To convert pounds (lbs) to kilograms (kg), you can use the conversion factor of 1 lb = 0.45359237 kg.

So, to convert 210 lbs to kg, you can multiply 210 by 0.45359237:

210 lbs * 0.45359237 kg/lb = 95.2544 kg

Therefore, 210 pounds is approximately equal to 95.2544 kilograms.

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Another name for the regression line is the​ least squares line.

A regression line is an estimate of the line that describes the true, but unknown, linear relationship between the two variables. The equation of the regression line is used to predict (or estimate) the value of the response variable from a given value of the explanatory variable.

Another name given to regression line is the least squares line because it is chosen so that the sum of the squares of the differences between the observed​ y-value and the value predicted by the line is as small as possible.

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The different possibilities of combinations of 4 are combinations of 4 distinct items, combinations of 4 items with replacement, combinations of 4 items without replacement and combinations of 4 items without replacement

It depends on what exactly you mean by "combinations of 4." Here are a few possibilities and the corresponding answers:

Combinations of 4 distinct items: If you have 4 distinct items and you want to know how many different ways there are to choose a group of 4 from among them, the answer is 4 choose 4, which is equal to 1.

Combinations of 4 items with replacement: If you have a set of items and you want to know how many different groups of 4 you can make if you're allowed to repeat items, the answer is the number of items raised to the 4th power

Combinations of 4 items without replacement: If you have a set of items and you want to know how many different groups of 4 you can make if you're not allowed to repeat items

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The conversion of 3000 euros to dollars is 3,540 US dollars.

Please note that exchange rates can fluctuate over time, so the exact conversion may be different depending on the current exchange rate.

The conversion of 3000 euros to dollars depends on the current exchange rate between the two currencies. As of my knowledge cutoff date of September 2021, the exchange rate was approximately 1.18 US dollars per 1 euro.

Using this exchange rate, we can convert 3000 euros to US dollars as follows:

3000 euros * 1.18 dollars/euro = 3,540 US dollars

Therefore, 3000 euros is equivalent to approximately 3,540 US dollars using the exchange rate mentioned above.

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Answer: D.6

hope this helped

Check the picture below.

A calculator for simplifying fractions is a tool that can be used to reduce a fraction to its simplest form or lowest terms.

The process of simplifying a fraction involves finding the greatest common factor of the numerator and the denominator and then dividing both by that factor. This results in a fraction that has been simplified as much as possible. A calculator of simplifying fractions can perform this calculation automatically, making it a quick and easy way to simplify fractions.

This tool can be especially helpful for those who struggle with math, or for those who need to perform a large number of calculations quickly and accurately. Many online calculators are available for free and can simplify fractions in seconds.

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The tangent (tan) of an angle can be calculated using a calculator. The "tan" button on most scientific or graphing calculators can be used to calculate the tangent of an angle in degrees or radians.

Here's how to utilise a calculator's "tan" function:

To get the tangent of 45 degrees, for example, input "45" into the calculator and press the "tan" button. The calculator would then show the tangent value, which is around 1.00.

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Answer:

Therefore, when  we put x=1 and y=2, the equation 3(x+2y)-2x+10 simplifies to 23.

Step-by-step explanation:

To evaluate and simplify the expression first we have to put x=1 and y=2 in the equation as given in the question,

3(x+2y)-2x+10 = 3(1+2(2))-2(1)+10

                       =3(1+2(2))-2+10

                       = 3(1+4)+8

                       = 3(5)+8

                       = 15+8

                       = 23

Therefore, when  we put x=1 and y=2, the equation 3(x+2y)-2x+10 simplifies to 23.

The areas of the compound figures are following;

1). The area of the compound figure,

= 121.12 square feet.

2). The area of the compound figure = 128 square meters.

3). The area of the compound figure = 69 square centimeters.

4). The area of the compound figure,

= 53.12 square feet.

5). The area of the compound figure,

= 63 square meters.

6). The area of the compound figure,

= 108 square yards.

The area is the amount of area occupied by an object's flat (2-D) surface or shape.

Given:

The area of the compound shapes can be calculated by the following process,

1). The area of the compound figure,

= (12 x 8) + (1/2 x 3.14 x 4 x 4)

= 121.12 square feet.

2). The area of the compound figure,

= (13 x 8) + (1/2 x 8 x 6)

= 128 square meters.

3). The area of the compound figure,

= (11 x 4) + (5 x 5)

= 69 square centimeters.

4). The area of the compound figure,

= (1/2 x 3.14 x 4 x 4) + (1/2 x 8 x 7)

= 53.12 square feet.

5). The area of the compound figure,

= (7 x 7) + (1/2 x 7 x 4)

= 63 square meters.

6). The area of the compound figure,

= (12 x 6) + (6 x 6)

= 108 square yards.

Therefore, all the areas are given above.

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The given inequality is x > (y – 2)2 – 4. To graph this inequality, we first need to plot the vertex of the parabola, which is (2, -4). This point is included in the shaded region because the inequality is "greater than" and not "greater than or equal to". Next, we need to determine whether the parabola opens upward or downward. Since the coefficient of the squared term is positive, the parabola opens upward.

Now, we need to decide which side of the parabola to shade. To do this, we can choose a test point that is not on the parabola and substitute its coordinates into the inequality. For example, the point (0,0) is a convenient test point. Substituting x=0 and y=0 into the inequality, we get:

0 > (0 – 2)2 – 4

0 > 0

Since 0 is not greater than 0, the point (0,0) is not in the shaded region. Therefore, we need to shade the side of the parabola that does not contain the point (0,0).

Among the given options, only the first one matches the graph described above. Therefore, the answer is: the graph that represents x > (y – 2)2 – 4 is the one where a parabola opens up and goes through (0, 0), has a vertex at (2, -4), and everything outside of the parabola is shaded.

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Answer: I am not understanding what you want us to help you with. In long form is says Area= 1/2 base x height

Step-by-step explanation:

The fraction of the group who had a score of 35 or more is 20%.

A histogram is a graphical representation of the distribution of numerical data. It consists of a series of bars (or rectangles) that are aligned along an axis, typically the x-axis, with the area of each bar proportional to the frequency or count of data points that fall within a specific interval or bin on that axis. Histograms are commonly used in statistics and data analysis to show the frequency distribution of a dataset. They allow you to visualize the shape of the distribution, including the central tendency (mean, median, mode) and the spread (variance, standard deviation). Histograms can also be used to identify outliers, gaps, and patterns in the data. They are often used in quality control to identify defects, in finance to analyze stock prices, in biology to analyze population distribution, and in many other fields where numerical data needs to be analyzed and understood visually.

Here,

First, you need to determine the range of scores represented in the histogram. This should be indicated by the x-axis of the histogram. Next, you need to identify the bin or bins in the histogram that correspond to scores of 35 or more. A bin is a group or interval of scores. The height of each bin represents the frequency or count of scores in that interval. Once you have identified the bin(s) that correspond to scores of 35 or more, you need to sum the heights of those bins to get the total count or frequency of scores that are 35 or higher. Finally, you can divide the total count or frequency of scores that are 35 or higher by the total count or frequency of scores in the entire histogram to get the estimated fraction of the group who had a score of 35 or more.

For example, if the histogram represents the happiness scores of 100 people and the bin or bins that correspond to scores of 35 or more have a total count of 20, then the estimated fraction of the group who had a score of 35 or more is 20/100 = 0.2 or 20%.

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Formula:

(A+B/2)H

A=base

B=Base

H=height

A. 100 cm (i think not to sure about this one)

B. 174 cm

C. 240cm

Answer:

Step-by-step explanation:Formula:

(A+B/2)H

A=base

B=Base

H=height

A. 100 cm (i think not to sure about this one)

B. 174 cm

C. 240cm

Answer:

56%

Step-by-step explanation:

The probability of snow on Tuesday is 20%, which means the probability of no snow on Tuesday is 100% - 20% = 80%.

Similarly, the probability of snow on Wednesday is 30%, which means the probability of no snow on Wednesday is 100% - 30% = 70%.

The probability that it will not snow on either day is the product of the probabilities of no snow on Tuesday and no snow on Wednesday:

(80%)(70%) = 56%

So the probability that it will not snow on either day is 56%.

Answer:

$2945.8

Step-by-step explanation:

226.60 multiplied by 13 is 2945.8.  

To check the answer you divide 2945.8

and 13 to get 226.60 or 226.6

The amount of wrapping paper use to wrap the rectangular gift box is 292 ft².

The surface area of a rectangular prism is expressed as;

S.A = 2( wl + hl + hw )

Given the data in the diagram;

Plug the values into the above formula and find the surface area.

S.A = 2( wl + hl + hw )

S.A = 2( (6×8) + (7×8) + (7×6) )

S.A = 2( 48 + 56 + 42 )

S.A = 2( 146 )

S.A = 292 ft²

Therefore, the surface area of the right rectangular prism is 292 ft².

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The conversion of 63 f to c is equivalent to approximately 17.22°C .

For 63 (degrees) Fahrenheit we write 63 °F, and (degrees) Celsius or centigrades are denoted with the symbol °C.

As a side note: the unit of temperature Fahrenheit is named after the German physicist Daniel Gabriel Fahrenheit.

So if you have been looking for 63 °F to °C, then you are right here, too.

To convert a temperature from Fahrenheit (°F) to Celsius (°C), you can use the formula:

°C = (°F - 32) * 5/9

So, to convert 63°F to °C, you can substitute 63 for °F in the formula:

°C = (63 - 32) * 5/9

= 31 * 5/9

= 155/9

≈ 17.22°C

Therefore, 63°F is equivalent to approximately 17.22°C (rounded to two decimal places).

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Answer:500

explanchion: 1000/50=500

The total cost for each combination with the special offer would be:

Massage, leg wax, and manicure: £68.25

Massage, facial, and eyelash tint: £59.25

Massage, leg wax, and eyelash tint: £57.75

We can try out the different possibilities and calculate the total cost of each.

Let's start by listing the prices of the treatments she's interested in:

Massage: £35

Facial: £31

Leg wax: £29

Manicure: £27

Eyelash tint: £13

Now, we can try out the different combinations of 3 treatments and calculate their total cost:

Massage, facial, and leg wax:

Total cost = £35 + £31 + £29 = £95

With 25% off, the cost would be £71.25, which is over Lou's budget of £60, so this combination is not possible.

Massage, facial, and manicure:

Total cost = £35 + £31 + £27 = £93

With 25% off, the cost would be £69.75, which is still over Lou's budget of £60, so this combination is also not possible.

Massage, leg wax, and manicure:

Total cost = £35 + £29 + £27 = £91

With 25% off, the cost would be £68.25, which is within Lou's budget of £60. Therefore, this combination is possible.

Massage, facial, and eyelash tint:

Total cost = £35 + £31 + £13 = £79

With 25% off, the cost would be £59.25, which is within Lou's budget of £60. Therefore, this combination is also possible.

Massage, leg wax, and eyelash tint:

Total cost = £35 + £29 + £13 = £77

With 25% off, the cost would be £57.75, which is within Lou's budget of £60. Therefore, this combination is also possible.

From the above calculations, we can see that Lou can choose from three possible combinations of treatments that fit within her budget and qualify for the special offer:

Massage, leg wax, and manicure

Massage, facial, and eyelash tint

Massage, leg wax, and eyelash tint

The total cost for each combination with the special offer would be:

Massage, leg wax, and manicure: £68.25

Massage, facial, and eyelash tint: £59.25

Massage, leg wax, and eyelash tint: £57.75

Therefore, Lou can choose any of the above combinations and pay the corresponding total cost to enjoy the special offer.

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In general, if the sample size is large, adding an extremely large outlier to a data set will not substantially affect the mean (average) of the data set.

This is because the mean is calculated by summing all the values in the data set and dividing by the total number of values. As the sample size increases, the influence of any individual value on the mean becomes smaller. An extremely large outlier may have a significant impact on the sum of the data set, but if the sample size is large enough, the impact on the mean will be relatively small.

However, adding an extremely large outlier to a data set can substantially affect other measures of central tendency and dispersion, such as the median and standard deviation. These measures are based on the order and spread of the data, rather than the sum of the data, and may be more sensitive to extreme values.

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Answer:

48

Step-by-step explanation:

3 x 16 = 48

OR

16 + 16 + 16 = 48

48

16 x 3 = 48.

Simple :)

A discrete distribution is used to calculate the probability that a random variable will be exactly equal to some value which is 0 ≤ P(X = x) ≤ 1 and ∑P(X = x) =1.

We can say that a discrete distribution is a probability distribution that depicts the occurrence of discrete or individually countable outcomes.

We know that the discrete probability distribution is counting of the occurrences that have countable or finite outcomes. We also know that discrete distributions contrast with continuous distributions, where outcomes can fall anywhere on a continuum, common examples of discrete distribution include the binomial, Poisson, and Bernoulli distributions.

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According to the graph the value of the Dog Walking Service would be $0.75 per minute.

To know the value per minute of the Dog Walking Service offered by Linda we must carry out the following mathematical procedure:

If every 20 minutes is worth $15, how much is each minute worth?

To do this we must follow the following rule of three:

Additionally, we must take into account that according to the graph, the value per minute decreases if we contract more hours of service. For example, with 40 minutes of service it would be worth 0.5 each minute.

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Answer:

boys-75,

Step-by-step explanation:

the ratio is 3:2 and the total ratio is 5, which stands for total learners in grade 8

boys;

3/5×125= 75

girls;

2/5×125= 50

We utilize the differentiation method to obtain the derivative of a function. This entails calculating the limit of the ratio of the change in output (y value) to the change in input (x value). The formula then yields the function's derivative. f'(x) = [tex]\lim_{h \to 0} \frac{f(x+h) - f(x)}{h}[/tex].

Determining the derivative of a function is a simple process. Initially, you must establish the sort of function you are dealing with.

Once the kind of function has been decided, the variables of the function must be identified.

The power rule is then used to determine the derivative of each of the terms.

Lastly, you must combine all of the terms to obtain the overall derivative.

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Therefore, the value of x is 26.

in geometry, an angle is a measure of the amount of rotation between two intersecting lines, or between a line and a plane. It is typically measured in degrees, with a full rotation equal to 360 degrees. Angles can also be measured in radians, which is another unit of angular measurement .Since ∠1 and ∠2 are supplementary, their sum is equal to 180 degrees. That is:

m∠1 + m∠2 = 180

Substituting the given values, we have:

124° + (2x+4)° = 180°

Simplifying this equation, we get:

2x + 128 = 180

Subtracting 128 from both sides, we have:

2x = 52

Dividing both sides by 2, we get:

x = 26

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The measure of an exterior angle of a twelve sided polygon is 30 degrees

The measure of an exterior angle of a polygon is the angle formed between one side of the polygon and the extension of an adjacent side.

In any polygon, the sum of exterior angles is always 360 degrees. This is because if you start at one vertex of the polygon and walk all the way around the outside of the polygon, you will make a full 360-degree turn. Each time you make a turn at a vertex, you create an exterior angle, and the sum of these exterior angles is equal to 360 degrees.

In a twelve-sided polygon (a dodecagon), the measure of each exterior angle can be calculated using the formula:

measure of each exterior angle = 360 degrees ÷ number of sides

So for a dodecagon:

measure of each exterior angle = 360 degrees ÷ 12 = 30 degrees

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The percentage of people have iq scores somewhere between 70 and 130 is 95.44%.

To solve this problem, we need to standardize the IQ scores and then use a standard normal distribution table or calculator to find the proportion of scores between 70 and 130.

First, we need to calculate the z-scores for IQ scores of 70 and 130, using the formula:

z = (x - μ) / σ

where x is the IQ score, μ is the mean (100), and σ is the standard deviation (15).

For an IQ score of 70:

z = (70 - 100) / 15 = -2

For an IQ score of 130:

z = (130 - 100) / 15 = 2

We can now look up the proportion of scores between -2 and 2 in a standard normal distribution table or calculator. This represents the proportion of scores within two standard deviations of the mean, which is approximately 95% according to the empirical rule of normal distribution.

However, we want to find the proportion of scores between 70 and 130, not between -2 and 2. To do this, we need to subtract the proportion of scores below 70 (which is the same as the proportion below -2) from the proportion of scores below 130 (which is the same as the proportion below 2). The result gives us the proportion of scores between 70 and 130.

Using a standard normal distribution table or calculator, we can find that the proportion of scores below -2 (or 70) is 0.0228, and the proportion of scores below 2 (or 130) is 0.9772. Therefore, the proportion of scores between 70 and 130 is:

0.9772 - 0.0228 = 0.9544

This means that approximately 95.44% of people have IQ scores between 70 and 130.

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