ashley recently opened a store that uses only natural ingredients. she wants to advertise her products by distributing bags of samples in her neighborhood. it takes one person 2/3 of a minute to prepare one bag.

The particular solution to the given differential equation is y^2 = x^2 + y0^2, where y0 is the initial value of y at x = 0.

The given differential equation is dy/dx = x/y, where y cannot equal 0. It is a separable differential equation that can be solved by rearranging terms and integrating both sides.

To solve the differential equation dy/dx = x/y, we can begin by rearranging the equation to separate the variables. Multiplying both sides by y and dx, we get y dy = x dx. Now, we can integrate both sides:

∫y dy = ∫x dx

Integrating, we obtain (1/2)y^2 = (1/2)x^2 + C, where C is the constant of integration. Simplifying this equation, we have y^2 = x^2 + C.

To find the particular solution, we need an initial condition. Let's assume that at x = 0, y = y0. Substituting these values into the equation, we get y0^2 = 0^2 + C, which gives C = y0^2.

Therefore, the particular solution to the given differential equation is y^2 = x^2 + y0^2, where y0 is the initial value of y at x = 0.

It's important to note that the solution is valid as long as y ≠ 0, as division by zero is undefined.

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Answer:

Since each ticket cost $6.25, then to find the total they spent on tickets you will multiply 6.25 by itself 4 times:

6.25 * 4 = 25

They spent $25 on movie tickets.

You can subtract that from the $37 to find the total they spent on the snacks:

37 - 25 = 12

Th spent $12 in total on movie snacks. Now to find how much they cost each, yo will divide that total by the 4 friends:

12/4 = 3

The movie snacks cost $3 each.

Step-by-step explanation:

Hope it helps! =D

Answer:

y=10x+50

Step-by-step explanation:

10 is the slope of the equation so that will be multiplied with x. 50 is the y-intercept and you always add the y-intercepts.

Correct numerical expression is G. 6(18)2 – 27(6)(12).

In mathematics, an expression is a combination of numbers, symbols and operations such as addition, subtraction, multiplication and division that may be evaluated to produce a single number, a variable or a set of numbers.

This expression calculates the number of cubic inches of the box filled with packing material by subtracting the volume of the cylinder from the volume of the cube. The volume of the cube is 6(18)2, and the volume of the cylinder is 27(6)(12). Thus, the number of cubic inches of the box filled with packing material is 6(18)2 – 27(6)(12).

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A polynomial expression is a mathematical expression consisting of constants and variables, combined with the operations of addition and multiplication.

A polynomial expression is of the form:-

\(ax^{2}+bx+c\)

Here, it consists of variable x, constants a, b and c and operations + and *.

Hence, it is a polynomial expression.

This particular polynomial expression is a quadratic expression.

Other examples of polynomial expressions are :-

5x + 3, \(4x^{3}+3x^{2}}+2x+1\) ,2x + 3y = 4 and so on.

A general polynomial expression can be written as:-

\(a_{n}x^{n}+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ......+ a_{1}x^{1}+a_{0}\)

It has (n + 1) terms, with variable x,  (n + 1) constants and operations + and *.

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Answer:

A

Step-by-step explanation:

In this case, the equation that represents a nonlinear function is A.

Isolate y and see what the function is:

x(y-5)=2

y-5=2/x

y=2/x + 5 = (2+5x)/x

This is now a rational function. Unlike all the other choices, this is not linear.

The value that 50% of the data, as shown in the box plot, lie above and what it is called is: B. 50.5, the median

A box plot that displays the data set has the value of the median indicated at the point where a vertical line divides the rectangular box.

The median can be referred to as the second quartile (Q2) or 50th percentile of the data set.

The median value shows that 50% of the data set is above it while 50% is below it also.

The box plot in the given image shows that the vertical line crosses the rectangular box at 50.5.

50.5 is therefore the median, and this means that 50% of the data lie above 50.5.

Therefore, the answer is:

B. 50.5, the median

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Answer:

y = -1/3x - 11/3

Step-by-step explanation:

line a: y = -1/3x - 5

3 = -1/3(2) - b

3 = -2/3 - b

3 + 2/3 = b

3/1 + 2/3 = b

9/3 + 2/3 = b

11/3 = b

Answer:

Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD.

Step-by-step explanation:

The Inscribed Angle Theorem proves that an inscribed angle is half the measure of a central angle, if both the inscribed angle and the central angle intercepts the same arc.

Also, according to the inscribed angle theorem, an inscribed angle is ½ of the measure of the arc it intercepts.

Therefore, m<CBD is half of m<CAD, or half of the measure of the arc CD that they both intercept together.

Thus, m<CBD = 55°, which is ½ of m<arc CD.

m<arc CD = 110° = m<CAD.

m<CBD = ½ of m<CAD = 55°.

The statement that best describes the relationship between <CBD and <CAD is "Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD."

Answer:

14

Step-by-step explanation:

because 6+6 is 12 and add 2 is 14

Answer:

A sequence is a chain of numbers all related. In this case, they are related by the rule "f(n + 1) = –10f(n)". Each number is called a term. Here is what the rule in this sequence means:

Since f(n + 1) is the "next" term and f(n) is the "current" term, to get to the next term, you take the current term and multiply by -10.

When they say f(1) = 1 it means that the first term (term number 1) is 1. When they ask "What is f(3)?", they are asking, "What is the 3rd term?"

Since term #1 is 1, then to find term #2, we multiply 1 by -10. So term #2 is -10. To find term #3, we take term #2 and multiply it by -10, so -10 x -10 = 100. So term #3 is 100

Step-by-step explanation:

A C - chart is used for Number of defects per unit.

What is C - chart?

In statistical quality control, the c-chart is a sort of control chart used to track "count"-type data, often the total number of nonconformities per unit. On rare occasions, it is also used to keep track of all the events that take place in a given period of time.

C-charts are used to assess if a process is predictable and stable as well as to track the results of process improvements before and after they have been made. The C - chart is particularly useful when there are few actual flaws in the subgroup but many potential for defects exist.

Count type data, such as the number of non-conformities per unit, are monitored using a statistical quality control chart known as a C-Chart.

Hence, a C - chart is used for Number of defects per unit.

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the product x3⋅x4. Both terms have the same base, x, but they are raised to different exponents. Expand each expression, and then rewrite the resulting expression. ... Write each of the following products with a single base. Do not simplify further. ... notation. a 3.547×1014; b −2×106; c 7.91×10−7; d −8.05×10−12 ..

Answer:

-5+6k

Step-by-step explanation:

19-6(-k+4)=16+6k-24=6k-5

Answer:

6k-5

Step-by-step explanation:

19-6(-k+4)=

19+6k-24=

6k-5

The correct answer for part c is option d: (XA1 XOR XA2). This Boolean expression uses XOR (exclusive OR) which means that either XA1 = 1 and XA2 = 0, or XA1 = 0 and XA2 = 1,

Indicating class A is scheduled during exactly one of the two periods.
For part d, the correct answer is option a: (XA1 XOR XB1)(XA2 XOR XB2). This expression ensures that classes A and B are not scheduled during the same period.

If A is in period 1 and B is not, or vice versa (XA1 XOR XB1 = 1), and if A is in period 2 and B is not, or vice versa (XA2 XOR XB2 = 1), then the overall expression will be true.

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Recurring decimal: 0.5

The recurring decimal 0.5 can be expressed as a rational number, which is 1/2.

Recurring decimal: 10.3 The recurring decimal 10.3 can be expressed as a rational number, which is 103/10.

Recurring decimal: 10.34

The recurring decimal 10.34 can be expressed as a rational number, which is 1034/100.

Recurring decimal: 0.5

A recurring decimal is a decimal representation of a fraction where one or more digits repeat indefinitely. In the case of 0.5, it can be rewritten as 1/2. This is because 0.5 is equivalent to the fraction 1/2, where the numerator is 1 and the denominator is 2. Therefore, the rational representation of 0.5 is 1/2.

Recurring decimal: 10.3

Explanation: To convert 10.3 to a rational number, we can consider it as a mixed fraction. The integer part is 10, and the decimal part is 0.3. Since 0.3 is equivalent to the fraction 3/10, we can combine it with the integer part to get 10 3/10. This can be further simplified to an improper fraction as 103/10. Therefore, the rational representation of 10.3 is 103/10.

Recurring decimal: 10.34

Explanation: Similar to the previous case, we can consider 10.34 as a mixed fraction. The integer part is 10, and the decimal part is 0.34. The fraction equivalent of 0.34 is 34/100. Combining the integer part and the fraction, we get 10 34/100. This can be simplified to 10 17/50. Finally, we can express it as an improper fraction, which is 1034/100. Therefore, the rational representation of 10.34 is 1034/100.

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An equation that mode the relationship between thee two variable is y=2x+3 .

Let x represent the number of 6-month period worked

Let y represent the total number of paid vacation day

According to the question,

When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.

Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19

An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).

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The probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6 is 8.08%

The CLT states that the distribution of the sample means of a random variable with a finite mean and standard deviation approaches a normal distribution as the sample size increases.

In this case, the population mean is 0.5, and the population standard deviation is 0.7. Since we have a sample size of 50, the standard deviation of the sample means would be

=> 0.7 / √(50) = 0.099.

Next, we need to calculate the z-score, which measures the number of standard deviations from the mean.

In this scenario, we want to find the probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6. So, we would plug in x = 0.6, μ = 0.5, σ = 0.7, and n = 50 into the z-score formula. This gives us

=> (0.6 - 0.5) / (0.7 / √(50)) = 1.41.

Using a standard normal distribution table or calculator, we can find that the probability of a z-score of 1.41 or higher is approximately 0.0808. Therefore, the estimated probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6 is 0.0808 or about 8.08%.

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Complete Question:

The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. Each month, an SRS of 50 traps is inspected, the number of moths in each trap is recorded, and the mean number of moths is calculated. Based on years of data, the distribution of moth counts is discrete and strongly skewed, with a mean of 0.5 and a standard deviation of 0.7. Estimate the probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6.

Mean, median and mode are the measures of central tendency that are used to describe a statistical sample. These measures are commonly used in statistical analysis and are important in understanding the general characteristics of a data set.

Here is a brief explanation of each of these measures Mean: The mean is the arithmetic average of a set of data. It is calculated by summing up all the values in a data set and dividing by the number of values in the set. The mean is sensitive to outliers, meaning that if there are any extreme values in the data set, the mean will be affected.Median: The median is the middle value in a set of data. It is the value that divides the data set into two equal parts. If there is an even number of values in a data set, the median is the average of the two middle values.

The median is less sensitive to outliers than the mean, meaning that extreme values will not have as much of an effect on the median. Mode: The mode is the most common value in a set of data. It is the value that appears most frequently in the data set. The mode is not sensitive to outliers, meaning that extreme values will not affect the mode. The mode can be used to describe the typical value of a data set. In summary, the mean tells you about the average value of a data set, the median tells you about the middle value of a data set, and the mode tells you about the most common value in a data set. These measures of central tendency are useful for understanding the general characteristics of a data set.

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A histogram is a univariate display of quantitative data that organizes data into bins and shows the frequency of observations within each bin.


A histogram is a graphical representation that displays the distribution of quantitative data. It consists of a series of contiguous bars, where each bar represents a specific range or bin of values, and the height of the bar corresponds to the frequency or count of observations falling within that range.

Histograms are commonly used to visualize the shape, central tendency, and spread of a dataset. By examining the heights of the bars, one can determine the frequency of values within each bin and identify patterns such as peaks or clusters. This makes histograms an effective tool for exploring the distribution and characteristics of a single variable in a dataset.

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Answer:

C) 56

Step-by-step explanation:

These angles are supplementary (they add up to 180):

3x + 31 + 2x - 6 = 180

5x + 25 = 180

5x = 180 - 25

5x = 155

x = 31

<FEG:

2x - 6

2(31) - 6

62 - 6

56

Answer:

Step-by-step explanation:

width = area ÷ length = 5x+3

Answer:

4739 CDs

Step-by-step explanation:

Given the function that models the rate at which the disc is sold expressed as;

R(t)=20,000e^−0.12t

t is the number of weeks since the CD was first released

We are to look for the number of CDs that are expected to be sold during the first 12 weeks after the release. To do this, you will simply substitute t = 12 into the modeled function and get R(12) as shown;

R(t)=20,000e^−0.12t

R(12)=20,000e^−0.12(12)

R(12)=20,000e^−1.44

R(12)=20,000(0.2369)

R(12) = 4738.56

Hence the total number of CDs expected to be sold to nearest thousand is 4739 CDs

Answer:

127,000

Step-by-step explanation:

you take the integral from 0 to 12 of R(t)

Answer:

the 4th one

Step-by-step explanation:

Answer:

C. \(12x^2 +28x\)

Step-by-step explanation:

Using the distributive property,

\(4x(3x+7)=4x(3x)+4x(7)=12x^2+28x\)

Answer:

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To find the equation of a line given two points on that line, we can use the slope formula:

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

Using the two points (-4, 0) and (0, -2) we can find the slope of the line:

m = (-2 - 0) / (0 - (-4)) = -2 / 4 = -0.5

Now that we have the slope, we can use one of the points to find the y-intercept. Let's use the point (-4, 0)

0 = -0.5(-4) + b

b = 2

So the equation of the line is y = -0.5x + 2

Answer: y = -1/2x - 2

Step-by-step explanation:

Using the 2 points you provided, you can find that the slope of the line is -0.5 or -1/2. Substituting this into y = mx + b, the equation is y = -1/2x - 2

Answer:

Option (2)

Step-by-step explanation:

pH level of a substance is determined by the formula,

pH = - log[H+}

where [H+] is the hydrogen ion concentration

Let the [H+] ion concentration = a

a = -log[H+]

log[H+] = -a

[H+] = 1 × \(10^{-a}\)

Here 'a' is between 7 and 14.

Which means an alkaline substance must have the concentration between \(1\times 10^{-7}\) to  \(1\times 10^{-14}\).

From the given options, \(5\times 10^{-12}\) moles per liter lies in the given range.

Therefore, Option (2) will be the answer.

Answer:

B

Step-by-step explanation:

Edg2020

Answer:

(10, 0)

Step-by-step explanation:

(x2 + x1/2  , y2 + y1/2)

[10 + 10 / 2  ,  1 + (-1) / 2]

(20/2  , 0/2)

(10, 0)

Answer:

Here I will explain this for you

Step-by-step explanation:

For the first questions 21-28 all you have to do is plug in 11 for s and plug in 8 for v. So then you would solve for the answers and that's all. For 29-34 a little hint is for you todo everything that is in () first than [] then multiply that answer by the outside number. For 35 and 36 plug in what you know form what it tells you into the formula. B=4 and H=9 for example plug that into the formula that they give which is bh/3 and you would get your answer. But always try to do the square root first if they give you that in the number. Also, don't forget to label your answer (cm) for the last to questions.