AABC with vertices A(- 2, 3), B(3, - 3) , and C(- 2, - 3) is shown below.

Answer:

x=2

Step-by-step explanation:

The minimum value of the function would be its vertex, where the x-coordinate is defined as \(x=-\frac{b}{2a}\) in the form of \(ax^2+bx+c=0\), so we expand the function first:

\(f(x)=(x-2)^2+4\\\\f(x)=x^2-4x+4+4\\\\f(x)=x^2-4x+8\)

This is now in the form of \(ax^2+bx+c=0\) and we use our rule:

\(x=-\frac{b}{2a}\\ \\x=-\frac{-4}{2(1)}\\ \\x=-\frac{-4}{2}\\ \\x=-(-2)\\\\x=2\)

Thus, the minimum value of the function occurs when x=2

Answer:

80% of the fish in the school pond are goldfish.

Step-by-step explanation:

To find the percentage of goldfish in the pond, we need to divide the number of goldfish by the total number of fish and multiply by 100.

percent of goldfish = (number of goldfish / total number of fish) x 100%

So, in this case:

percent of goldfish = (296 / 370) x 100%

percent of goldfish = 0.8 x 100%

percent of goldfish = 80%

Answer:

x=3

Step-by-step explanation:

4(4x+6)-7=77-4x

open brackets and multiply by 4

16x+24-7=77-4x

16x+17=77-4x

like terms takes on one side and solve for x

16x+4x=77-17

20x=60

x=60/20

x=3

To make wheels of a diameter of 67.5 mm and a width of 29.3 mm, Alfie requires 104891.38 cubic mm volume of plastic.

A cylinder is a 3-Dimensional shape with 3 faces that are one curved face and 2 flat ends. The volume of a cylinder is given by the expression:

V = π\(r^2h\)

r is the radius

h is the height

Given, diameter = 67.5 mm

radius = d ÷ 2 = 67.5 ÷ 2

= 33.75 mm

height = width = 29.3 mm

Volume = \(\frac{22}{7}*33.75*33.75*29.3\)

= 104891.38 cubic mm

Therefore, the volume of the cylindrical wheel that Alfie designed is 104891.38 cubic mm.

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Answer:

X + 50 = 130

Step-by-step explanation:

This is actually a subtraction equation although addition is how you set it up initially. X is the variable. You already have $50. You need $130.

To solve, subtract 50 from each side,

X + 50 - 50 = 130 - 50, and simplify,

X = 120.

Jordan will need $120 more to go to the Camp Rodeo Field Trip.

Hope this helps.

The first function isn't decreasing over the largest interval, so the box in the wrong spot is the first one.

Here we have 3 cubic functions.

A function is decreasing when reading from left to right, the curve goes downwards.

Now, if you look at the graph, you can see that the interval where the function decreases is really small (the graph is small so I can't see the exact interval).

While if you look at g(x), you can see that, at least in the interval [-2, 2] the function is decreasing.

So the box in the wrong spot is the first box.

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if it is not possible to obtain a list of all elements in a population, this is a; group of answer choices  finite population statistic

It is also known as the group of the study, that targets the population, which helps to find the survey, which is the sampled population. It is measured by an ideal world, which will be the same, and they're always unique.  

Its sampling distribution of the "x bar" should also be naturally independent of the random sample, that is usually distributed.

We consider the population as endless if the sampling size is at least 20 times greater than the sample size.

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The probability that none of the 10 randomly selected MIS graduates from UIUC make above $48,861 in their first job is (0.47)^10, which can be calculated using the binomial probability formula.

To find the probability that none of the 10 graduates make above $48,861, we raise the probability of an individual not making above $48,861 to the power of 10 (since we want all 10 to not make above that amount) and multiply it by the total number of combinations for selecting 10 graduates out of the total population.

Using the binomial probability formula, the probability that none of the 10 graduates make above $48,861 can be calculated as:

\(P(X = 0) = C(10, 0) * (0.47)^0 * (1 - 0.47)^{10-0}\)

where C(10, 0) represents the number of combinations of selecting 0 graduates out of 10.

Simplifying the equation, we find:

\(P(X = 0) = (1) * (1) * (0.47)^{10}\)

Therefore, the probability that none of the 10 randomly selected MIS graduates from UIUC make above $48,861 in their first job is \((0.47)^{10}\).

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Answer:

36÷6

Step-by-step explanation:

3+3 = 6

-kiniwih426

Answer:

Step-by-step explanation:36/3=12+3=15

Answer:

2x-3

Step-by-step explanation:

Answer:

4/3x + 9/2y

Step-by-step explanation:

2x + 3y - 2/3 x + 1 1/2y

1 1/2 = 3/2

2x + 3y - 2/3x + 3/2y

= 6/3x + 6/2y - 2/3x + 3/2y

= 4/3x + 9/2y

Pythagoras was an ancient Greek mathematician who founded the Pythagorean school of thought. The Pythagorean theorem is a fundamental concept in mathematics that is attributed to Pythagoras and his followers.

It states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. While this theorem is considered a cornerstone of mathematics today, it is important to understand that Pythagoras did not have access to the advanced mathematical tools and methods that we have today.

He had to rely on geometric constructions and reasoning to prove his theorem. Furthermore, Pythagoras believed that all numbers could be expressed as ratios of whole numbers, which is not always true in reality. Despite these limitations, the Pythagorean theorem has stood the test of time and continues to be a crucial tool in mathematics and other fields.

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From the hypothesis test, it is found that the p-value of the test is of 0.6634

At the null hypothesis, we test if the mean is still the same, that is, of 10.2 hours per week, thus:

H₀ : μ = 10.2

At the alternative hypothesis, we test if the mean has increased, that is, if it is greater than 10.2 hours per week, thus:

H₀ :  μ > 10.2

Ten students were surveyed, so there are 9 degree of freedom. The test statistic is t = 0.45, and it is a one-tailed test, as we are testing if the mean is greater than a value.

Thus, using a t-distribution calculator, the p-value of the test is of 0.6634

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Answer:

Answer:

b2 = 2A/h - b1

Step-by-step explanation:

Answer:

NO

1,2,3,6

Step-by-step explanation:

THOSE ARE CORRECT

√8=2.8

Answer:

c

Step-by-step explanation:

Answer:

You get 1.5 avacados per dollar.

Step-by-step explanation:

If you divide $4.50 by 3 you get 1.5 and that is the amount of avacados you get per dollar spent.

The COVID-19 pandemic has led to the implementation of various health and safety measures in construction sites. Social distancing, the use of personal protective equipment, enhanced hygiene practices, and regular sanitization and cleaning are among the major measures introduced.

These measures aim to protect the health and well-being of construction workers and minimize the spread of the virus within construction sites. By implementing these measures, construction companies can create a safer work environment and mitigate the impact of the pandemic on construction operations.

Four major COVID-related health and safety measures introduced in construction sites are:

1. Social distancing: Construction sites have implemented measures to maintain social distancing among workers. This includes reducing the number of workers on-site, staggering work schedules, and creating physical barriers or marked zones to ensure workers maintain a safe distance from each other.

2. Personal protective equipment (PPE): The use of personal protective equipment has been emphasized to minimize the spread of COVID-19. Construction workers are required to wear appropriate PPE, such as face masks, gloves, and safety goggles, depending on the tasks they perform.

3. Enhanced hygiene practices: Construction sites have implemented rigorous hygiene practices to prevent the spread of the virus. This includes providing handwashing stations or hand sanitizers at multiple locations on-site, promoting frequent handwashing, and encouraging respiratory etiquette, such as coughing or sneezing into elbows.

4. Regular sanitization and cleaning: Construction sites have increased the frequency of cleaning and disinfection activities. High-touch surfaces, shared tools, and equipment are regularly sanitized to minimize the potential transmission of the virus. Common areas, such as breakrooms and portable toilets, are also cleaned and disinfected regularly.

1. Social distancing: Social distancing measures have been introduced to minimize close contact and reduce the risk of virus transmission among construction workers. By reducing the number of workers on-site and implementing physical distancing protocols, the likelihood of COVID-19 spread can be minimized.

2. Personal protective equipment (PPE): PPE is essential to protect workers from exposure to the virus. Construction workers are required to wear appropriate PPE, such as masks, gloves, and goggles, depending on their tasks and the level of risk involved. PPE helps to prevent the inhalation or contact transmission of the virus.

3. Enhanced hygiene practices: Promoting good hygiene practices is crucial in preventing the spread of COVID-19 on construction sites. Handwashing stations or hand sanitizers are made readily available, and workers are encouraged to wash their hands frequently with soap and water for at least 20 seconds. Respiratory etiquette, such as covering coughs and sneezes, is also emphasized.

4. Regular sanitization and cleaning: Construction sites have increased the frequency of cleaning and disinfection activities. High-touch surfaces, shared tools, and equipment are regularly sanitized to reduce the risk of virus transmission. Common areas, such as breakrooms and portable toilets, are cleaned and disinfected regularly to maintain a hygienic environment.

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The total time for the boxing match will be 9 minutes.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a woman's boxing match consists of four 2-minute rounds, there is a 1-minute rest interval between each round.

The time of the match will be calculated as:-

Time = 2 x Total rounds + 1

Time = ( 2 x 4 ) + 1

Time = 8 + 1 = 9 minutes

Therefore, the total time for the boxing match will be 9 minutes.

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The given statement "a change in the value of one variable will result in a change in the value of the other when the two variables are highly linked" is FALSE.

Any feature, characteristic, or circumstance that can exist in various amounts or types is considered a variable.

Independent, dependent, and controlled variables are typically present in an experiment.

The variable that is altered by the scientist is the independent variable.

A false correlation between two variables indicates that their correlation coefficient is almost zero.

When two variables have a strong correlation, altering the value of one will not affect the other.

Therefore, the given statement "a change in the value of one variable will result in a change in the value of the other when the two variables are highly linked" is FALSE.

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I believe the answer you seek would be that the area of the shaded region would be \(64.43 cm^2\).

Hope this helps!

Answer:

Correct answer : -21x - 4

John's error : He added the number inside the parenthesis, instead he should've divided first then added the number.

I hope you get it

The  vector equation for the line segment from (3, -1, 6) to (5, 7, 5) is:

r(t) = (3, -1, 6) + t(2, 8, -1), 0 ≤ t ≤ 1

To find the vector equation for the line segment from (3, -1, 6) to (5, 7, 5), we first need to find the vector that points from the starting point to the ending point. We can do this by subtracting the coordinates of the starting point from the coordinates of the ending point:

(5, 7, 5) - (3, -1, 6) = (2, 8, -1)

This vector represents the direction and length of the line segment. We can parameterize this vector using the parameter t by multiplying it by t:

t(2, 8, -1)

To get the position vector for any point on the line segment, we need to add this parameterized vector to the starting point (3, -1, 6):

(3, -1, 6) + t(2, 8, -1)

So the vector equation for the line segment from (3, -1, 6) to (5, 7, 5) is:

r(t) = (3, -1, 6) + t(2, 8, -1), 0 ≤ t ≤ 1

Note that the parameter t ranges from 0 to 1 to ensure that we only get points on the line segment between the starting and ending points.

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Answer:

i hope you meant "y" instead of "t" because that would make so much more sense. all you have to do with this is replace "y" in the equation with "x + 3" (this makes the equation x = 3[x + 3] - 2). now, you multiply and combine the like-terms (making x = 3x + 7). you now continue by subtracting 3x from both sides of the equation to make -2x = 7 and dividing to make x = -3.5

Step-by-step explanation:

x = 3(x + 3) - 2

x = 3x + 9 - 2

x = 3x + 7

-2x = 7

x = -3.5

Time-series analysis is most effective when used in medium- to long-term forecasts.

Time-series analysis is most effective when used in​ short-term forecasts. So, the correct option is D. Short.

In mathematics, time series are data points indexed (or listed or plotted) over time. In general, a time series is a sequence obtained at successive points in time. So it is a discrete time data series. Examples of time series are the peak height of the Dow Jones Industrial Average, the number of days, and the daily closing price.

Time series are usually organized by running charts (timeline charts). Time series statistics, signal processing, pattern recognition, econometrics, financial mathematics, weather forecasting, earthquake prediction, electroencephalography, control engineering, astronomy, communications engineering, etc. It is used with the time measurement field in many science and engineering fields.

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In completing the square method, considering the equation X^2 + 82x +  the number to be added should be 1681 to make it a perfect square

The quadratic equation is an equation of the form

ax^2 + bx + c

The completing the square method is on of the methods of solving equations of the form above

The factor to be added on the both sides of the equation while using the completing the square method is

(b / 2a)^2

compared to the equation in the problem X^2 +82x

= (b / 2a)^2

= (82 / 2)^2

= (41)^2

= 1681

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The expected number of boxes to be produced is given as 3,000 boxes. So, the correct answer is 0.3, indicating that the takt time in minutes is 0.3 minutes.

The production line operates for two eight-hour shifts each day, which means there are 16 hours of production time available. Since there are 60 minutes in an hour, the total available time in minutes would be 16 hours multiplied by 60 minutes, which equals 960 minutes.

The expected number of boxes to be produced is given as 3,000 boxes.

To calculate the takt time in minutes, we divide the total available time (960 minutes) by the expected number of boxes (3,000 boxes):

\(Takt time = Total available time / Expected number of boxes\)

\(Takt time = 960 / 3,000\)

By performing the calculation, we find that the takt time is approximately 0.32 minutes, which is equivalent to 0.3 minutes rounded to one decimal place.

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Answer:

(x - 1)(x^2 + x + 1)

Step-by-step explanation:

they said it was the answer.

An infinite geometric series is one in which each term is equal to the preceding term multiplied by a fixed non-zero number, known as the common ratio.

The first term is called a1, and the common ratio is represented by r.In this particular question, we are required to find the value of a1 and r for an infinite geometric series. The partial sum S2 will also need to be found.For a geometric sequence that is infinite, the formula for the partial sum, Sn, is:Sn = a1 / (1-r), where a1 is the first term and r is the common ratio.To solve for a1, it is necessary to know two other variables: the common ratio r and the value of the first term a1. S2 is the sum of the first two terms, so: S2 = a1 + arTo find S2, we must first determine a1 and r. a1 is the first term in the sequence, and r is the common ratio. We can obtain both a1 and r by dividing the second term by the first term.The formula is:r = (ar/a1) = a2/a1 Substitute the value of r and a1 into the formula for S2 to obtain the result: S2 = a1 + ar = a1 + a1r = a1(1+r) Therefore, the value of a1 is a constant number that will appear in the series, and the common ratio, r, will be multiplied by this number to obtain the next value in the series.

So, a1 is the first term, and r is the common ratio of the infinite geometric series. S2, the sum of the first two terms, is found by using the formula S2 = a1 + ar where a1 is the first term and r is the common ratio.

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