please solve this question thanks

Answer:

Period = 8π

Phase shift = 2π/3

Amplitude = 1/2

Vertical shift = 2

Step-by-step explanation:

y = A sin((2π/T)θ − B) + C

where A is the amplitude,

T is the period,

B is the phase shift,

and C is the vertical shift.

y = ½ sin(¼θ − 2π/3) + 2

So A = 1/2, T = 8π, B = 2π/3, and C = 2.

Increase in volume is 802424.77 cubic mm/s when the diameter is 80 mm.

Let the radius of the sphere be R.

So, the volume of the sphere is given by,

V = \(\frac{4}{3}\pi r^3\)

Differentiating the above relation with respect to time 't' we get,

dV/dt = 4\(\pi r^2\). dr/dt

Given that, the change of radius (dr/dt) = 4 mm/s

When the diameter is 80 mm, then the radius = 80/2 = 40 mm

So the volume change when the diameter is 80 mm is given by,

dV/dt \(=4\pi\times40^2\times4\approx 802424.77\) cubic mm/s

Hence the volume increase in 802424.77 cubic mm/s.

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Answer:

According to Dr. Davis' law of conversion, we are able to rewrite the equation in any order we need to so that we can solve it in multiple ways. For example, we may choose to add/subtract first, then multiply/divide. Dr. Davis discovered that when solving equations order of operations does not need to be followed.

Step-by-step explanation:

Let's suppose you're getting a new phone plan. The phone plan charges a flat fee of $5 and costs $9 a month. How can we represent this relationship?

Since $5 is a flat fee, it doesn't change based on how many months you've had the plan because it always remains $5, so this is our y-intercept.

Because the plan costs $9 a month, this represents our rate of change, or slope, showing that every month you have the plan, you multiply by $9.

So, we can show this as y=9x+5 where x is the number of months of the phone plan and y is the cost of the phone plan given x amount of months

Now, what if you wanted to know how much the phone plan would cost after 4 months?

Simple enough, we can just substitute x=4 into our equation and get y=9(4)+5=36+5=41. So, getting the phone plan for 4 months costs $41.

Let's take this the other way around. What if we wanted to figure out how many months of the phone plan are covered by $50?

We would then substitute y=50 into our equation and solve for x:

y=9x+5

50=9x+5

45=9x

5=x

This would mean $50 would cover 5 months of the phone plan.

All in all, these are real-life examples of algebra.

Answer:

To use the FOIL method to simplify the expression (2x - 1/2)^2, follow these steps:

F: Multiply the first terms in each set of parentheses:

(2x) * (2x) = 4x^2

O: Multiply the outer terms in each set of parentheses:

(2x) * (-1/2) = -x

I: Multiply the inner terms in each set of parentheses:

(-1/2) * (2x) = -x

L: Multiply the last terms in each set of parentheses:

(-1/2) * (-1/2) = 1/4

Now, combine the like terms:

4x^2 - x - x + 1/4

Simplify by combining like terms:

4x^2 - 2x + 1/4

Therefore, (2x - 1/2)^2 = 4x^2 - 2x + 1/4.

Based on the given angles:

From the given lines and angles, we can identify:

Vertical angles are pair of angles with no adjacent line but share one meeting point and have congruent angles. Four pairs of vertical angles are:

Alternate interior angles are pair of angles within the parallel line (inside) that have congruent angles. Each pair cross the transversal line "t". Two pairs of alternate interior angles are:

Cogruent angles might come from several types of relationships, such as:

All angles congruent to angle ∠1 are:

All angels congruent to angle ∠2 are:

Supplementary angles are a pair of angles whose its sum is 180°. Supplementary angles might formed by several types of angles relationship, such as:

Pairs of supplementary angles are:

Consecutive interior angles:

Adjacent angles:

Corresponding angles are a pair of unadjacent angles but have congruent angles because they face the same direction. Pairs of corresponding angles:

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On solving the provided question, we can say that by using the triangle, ∠LNM=35° and ∠NML=55°

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

∠LNM=(4x+3)°

∠NML=(5x+15)°

∠NLM=90°

Since, its right angle triangle, sum of all angle is 180°

∠LNM+∠NML+∠NLM=180°

(4x+3)+(5x+15)+90=180°

9x+18=90°

9x=72

x=8

Hence,

∠LNM=(4x+3)°=4*8+3=35°

∠NML=(5x+15)°=5*8+15=55°

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Using a quadratic regression equation, it is found that the prediction of y when x = 6 is of -154.70.

To find the equation, we need to insert the points (x,y) in the calculator.

In this problem, we have that the function initially increases, then it decreases, which means that it is a quadratic function. The points (x,y) to  be inserted into the calculator are given as follows:

(-1, -2.75), (0, 2.15), (1, -1.60), (2, -13.85), (3, -34.55).

Inserting these points into the calculator, the prediction of y for a value of x is given as follows:

y = -4.721428571x² + 1.482857143x + 3.201428571

Hence, when x = 6, the prediction is:

y = -4.721428571 x 6² + 1.482857143 x 6 + 3.201428571

y = -154.70

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Answer:

9 inches

Step-by-step explanation:

We see all sides are the same length:

4x+3=3(2x-5)

4x+3=6x-15

18=2x

x=9

Therefore 9 inches.

The component of statistical methodology that encompasses the collection, organization, and summarization of data is referred to as descriptive statistics.

Descriptive statistics is a fundamental aspect of statistical methodology that focuses on the initial stages of data analysis. It involves the collection of data through various methods such as surveys, experiments, or observational studies. This data is then organized and structured in a systematic manner to facilitate a comprehensive understanding of its characteristics.

The first step in descriptive statistics is data collection. This can involve various techniques such as sampling, where a subset of the population is selected to represent the entire group. The collected data can be quantitative (numerical) or qualitative (categorical), depending on the nature of the study.

Once the data is collected, it needs to be organized in a meaningful way. This can involve sorting, categorizing, and arranging the data into different groups or categories. For quantitative data, measures such as frequency distributions, histograms, and scatter plots can be used to organize and display the data. For qualitative data, methods such as tables, charts, or graphs may be employed to summarize the information.

Finally, descriptive statistics involves summarizing the collected and organized data to extract key insights and characteristics. This can include measures such as central tendency (mean, median, mode), variability (range, variance, standard deviation), and correlation. These measures provide a concise summary of the data, enabling researchers to gain a better understanding of its overall patterns, trends, and distribution.

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Emma is asking an empirical question so that she she can test her hypothesis

What is a Empirical hypothesis?

Something empirical is something based on real evidence .

Evidence that is verifiable by observation as opposed to something that is true in theory or by some kind of reckoning or logic

A hypothesis is a theory that is put forward for further examination to see if it is correct. It is not a call but it is an explanation that fits the available evidence so , An empirical hypothesis is a theory that is based on real evidence and experience but that has not been proven yet

So, According to the question

Emma wants to know if long distance relationship in college have a greater likelihood of ending than a relationship that are not long distance and for that she creates a questionnaire and the crowds 100 student from our school to complete the questionnaire so she can test her hypothesis

Here, Emma is asking an empirical questions ( question about experience) and will conclude the test based on these 100 students experience and thoughts.

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In this situation, Wyatt is practicing the principle of fairness, which is important for group Dynamics.

Fairness in groups is the idea that all team members should receive equal treatment and Opportunities.

In other words, each individual should have the same chance to contribute and benefit from the group's work.

Wyatt's approach ensures that the workload is distributed evenly among Team Members and that no one feels overburdened.

It also allows everyone to feel valued and Appreciated as part of the team.

However, if one member consistently fails to pull their weight,

Wyatt will have to take steps to address the situation to ensure that the principle of fairness is maintained.

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The number is 100.

The method for identifying or representing numbers is known as the number system or numeral system. We are aware that a number is a mathematical value that aids in the measurement and counting of items as well as in several mathematical operations.

The number is not an odd number and it's higher than 90 but Not higher than 100.

So, taking even numbers from 90 to 100.

90

92

94

96

98

100

Given: If the number is subtracted from 100 we get nothing which means we get "0" as the Answer.

So, 100 - 100 = 0. (zero has No value)

Hence: the number is 100.

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The probabilities that could complete the model in this problem are given as follows:

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.

For a valid probability model, the sum of all the probabilities in the model must be of one.

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Answer:

1/104

Step-by-step explanation:

Answer:

1.01 or 0.010.00961538461

Carson Kelly is expected to hit approximately 31 home runs in 2024.

To find how many home runs Carson Kelly is expected to hit in 2024, we can use the formula for compound interest, where the initial amount is the number of home runs he hit in 2019, and the interest rate is the expected growth rate of his home run hitting ability, which is 12 percent or 0.12 as a decimal.

Let H be the number of home runs hit in 2019, and H(n) be the number of home runs hit in year n, then we can write:

H(n) = H * (1 + r)^n

Where r is the growth rate, and n is the number of years into the future.

If we plug in the given values, we can find the number of home runs Carson Kelly is expected to hit in 2024, which is 5 years after 2019.

H = 18 (number of home runs in 2019)

r = 0.12 (growth rate)

n = 5 (number of years into the future)

H(5) = 18 * (1 + 0.12)^5

H(5) = 18 * 1.7623

H(5) = 31.9214

It's important to note that this is simply an estimate based on the given growth rate, and the actual number of home runs he hits in 2024 may vary based on many factors, including injuries, team support, and the skill of opposing pitchers, among others.

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Step-by-step explanation:

Original price : $130

Discount : 35% × $130

= $45.50

sale price : $130 - $45.50

= $84.50

Answer:

12b=3b+75

Step-by-step explanation:

Answer:

12b=3b+75

Step by step equation

Answer:

c

Step-by-step explanation:

hope this help!

have a good day :)

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The pair of planes are neither parallel nor orthogonal.

The pair of planes given, g:

-9x + 2y - 5z = 48 and h:

2x - y - 4z = -28, are neither parallel nor orthogonal.

To determine this, we can find the normal vectors of each plane.

The normal vector of g is <9,2,-5> and the normal vector of h is <2,-1,-4>.

Since the normal vectors are not parallel or perpendicular to each other, the planes are neither parallel nor orthogonal.

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The probability that the interval estimation procedure will generate an interval that does not contain the actual value of the population parameter being estimated is the confidence coefficient.

In statistics, this means the confidence level that is stated as a proportion rather than as a percentage.

For instance, if we had a confidence level of 99%, the confidence coefficient would be 0.99.

Therefore, the higher the coefficient, the more certain you are that your results are accurate.

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Answer:

Infinitely many solutions.

Explanation:

Given:

-5X +6y=12 .........eq 1

Y=5/6x+2 ..........eq 2

--------------------------------------------------------------------------

-5X +6y=12

6y = 12 + 5x .......eq 3

(  Y=5/6x+2  )   * 6

6Y = 5X + 12 ...........eq 4

Using equation 3 and 4:

6y = 12 + 5x

6Y = 5X + 12

...............................

0    

They are equal and cancels out. Therefore Infinitely many solutions.

Answer:

false

Step-by-step explanation:

sub in 2 fo the x and 3 for the y

2(2) + 3(3) = 13

13 does not equal 6 so it is not true

Answer:

22и + 56

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Parenthesis (add)

-8(-4и - 7) - 10и

Step 2: Distribute (multiply)

32и + 56 - 10и

Step 3: Combine like terms (и)

22и + 56

Therefore, the exact arc length of the curve x = (1/8) y^4 + (1/4) y^2 over the interval y = 1 to y = 4 is not expressible in terms of elementary functions.

Given the equation: x = (1/8) y^4 + (1/4) y^2 and the interval y = 1 to y = 4, we need to determine the exact arc length of the curve.

To determine the arc length, we use the formula:

L = ∫a^b √[1 + (dy/dx)^2] dx, where a and b are the limits of integration.So, we need to find dy/dx.

Let's differentiate the given equation with respect to x:

x = (1/8) y^4 + (1/4) y^2Differentiating both sides with respect to x:

1 = (1/2) y^3 (dy/dx) + (1/4) (2y) (dy/dx) (1/2y^2)1 = (1/2) y^3 (dy/dx) + (1/4) (dy/dx)1 = (1/2) y^3 (dy/dx) + (1/4) y (dy/dx)1 = (1/2) y^3 (dy/dx) + (1/4) y (dy/dx)1 = (3/4) y (dy/dx) + (1/2) y^3 (dy/dx)1 = (1/4) y (dy/dx) (3 + 2y^2)dy/dx = 4 / [y (3 + 2y^2)]

Now, substituting this value of dy/dx in the formula for arc length:

L = ∫1^4 √[1 + (dy/dx)^2] dx= ∫1^4 √[1 + (16 / (y^2 (3 + 2y^2))^2] dx

We can simplify this by making the substitution u = y^2 + 3:L = (1/8) ∫4^3 √[1 + 16 / (u^2 - 3)^2] du

We can now make the substitution v = u - (3 / u):

L = (1/8) ∫1^4 √[1 + 16 / (v^2 + 4)] (v + (3 / v)) dv

At this point, we can use a table of integrals or a computer algebra system to find the antiderivative. The antiderivative of the integrand is not expressible in terms of elementary functions, so we must approximate the value of the integral using numerical methods. Therefore, the exact arc length of the curve x = (1/8) y^4 + (1/4) y^2 over the interval y = 1 to y = 4 is not expressible in terms of elementary functions.

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According to the survey, 47% of college students do not work to support themselves.

Given that,

Percentage of college students who only work on weekdays: 15%

Percentage of college students who only work on weekends: 30%

Percentage of college students who work on both weekdays and weekends: 8%

We need to find the percentage of college students do not work to support themselves.

Finding the complement of students who work will help us determine the percentage of college students who do not work to support themselves.

Add the given percentages:

15% + 30% + 8% = 53%

Therefore, 53% of college students work to support themselves. We deduct this amount from 100% to determine the proportion of college students who do not work to support themselves:

100% - 53% = 47%

Hence, 47% of college students, according to the report, do not work to support themselves.

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The correct answer is option (C) median.

The median will help Emily to find the number that appears in the middle of the 25 numbers that are arranged in ascending order.

The mean, median, and mode are the three most commonly used measures of central tendency for populations that do not have much data, that is, they do not need to be grouped.

The mean, also known as average, is the value obtained by dividing the sum of a cluster of numbers by the number of them.

When arranging the numbers from least to largest, the median sits exactly in the middle of the values that are above. The median is a set that is a value that is in the middle of the other values.

The number that appears most frequently in a set of numbers is called the mode.

So, The median will help Emily to find the number that appears in the middle of the 25 numbers that are arranged in ascending order.

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Answer:

y = -2x - 1

Step-by-step explanation:

y + 3 = -2 ( x - 1 )

y + 3 = -2x + 2

y = -2x - 1

It is true that the Fisher LSD (Least Significant Difference) confidence interval and the t-test confidence interval may exhibit slight differences. These differences arise from the nature of the tests and their respective assumptions.

The Fisher LSD test is a multiple comparison technique that compares each pair of means after conducting an ANOVA (Analysis of Variance) test. This test is employed when the null hypothesis is rejected, and it helps determine which specific group means differ from one another. The Fisher LSD test assumes equal variances between groups and normality of the data.

On the other hand, the t-test confidence interval is used in a two-sample t-test, which compares the means of two independent groups to determine if there is a significant difference. The t-test can accommodate unequal variances through a variant called the Welch's t-test. It also assumes normality of the data.

The differences between the Fisher LSD and t-test confidence intervals can be attributed to several factors:

1. Multiple comparisons: The Fisher LSD test accounts for multiple comparisons among group means, while the t-test only considers a single comparison between two groups.

2. Assumptions: The Fisher LSD test assumes equal variances, whereas the t-test can be adapted to handle unequal variances.

3. Error rate control: Fisher LSD does not control the family-wise error rate, which may increase the chances of false positive findings when making multiple comparisons. In contrast, the t-test controls the error rate for a single comparison.

In summary, the Fisher LSD and t-test confidence intervals may differ due to the number of comparisons, assumptions about variances, and error rate control. These differences can impact the precision and interpretation of the intervals in specific situations.

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Answer:

Income inequality is how unevenly income is distributed throughout a population. ... Income inequality is often accompanied by wealth inequality, which is the uneven distribution of wealth.

Step-by-step explanation: