Two water balloons were launched into the air at different moments and collided. The water balloons were modeled by the quadratic functions: y = −7x2 + 26x + 3 and y = −6x2 + 23x + 5, where y represents the height in meters and x represents the time in seconds after the launch. What is the time, in seconds, that the balloons collided at the highest point?

A 24U rack is approximately 44.5 inches (113.03 cm) tall.

What is Expression in math ?

An expression is made up of one or more integers or variables, as well as one or more operations.

The "U" unit in a rack height refers to unit of measurement for the height of equipment in a standard 19-inch server rack.

1U is equal to 1.75 inches (4.45 cm)

so, 24U is equal to 24 * 1.75 inches = 42 inches (106.68 cm).

However, in practice, the height of a 24U rack is typically slightly taller to account for the height of the mounting brackets and other hardware.

Hence, A 24U rack is approximately 44.5 inches (113.03 cm) tall.

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The chosen online news article highlights the growing concerns regarding the impact of social media on freedom of speech.

The article, titled "Social Media Platforms and the Challenge to Free Speech," examines the complex relationship between social media platforms and freedom of speech. It raises key concepts discussed in the chapter regarding the limitations and challenges posed by online platforms to this fundamental right.

The article acknowledges the significant role that social media platforms play in facilitating public discourse, allowing individuals to express their opinions and engage in discussions on various topics. However, it also highlights the potential limitations on freedom of speech that arise due to the power wielded by these platforms.

It discusses instances where social media companies have imposed content restrictions, suspended or banned users, or altered algorithms, leading to concerns about censorship and the stifling of diverse viewpoints.

The article further explores the legal framework surrounding freedom of speech in relation to social media platforms.

It mentions the tension between protecting free expression and addressing issues such as hate speech, disinformation, and online harassment. It delves into the challenges of finding a balance between safeguarding individual liberties and ensuring a safe and inclusive online environment.

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Based on the scores in the final exam, the five number summary of the class is:

The minimum is the smallest score of 60. The maximum will be the largest score of 98.

The lower quartile can be found by the formula:

= (Second score + Third score) / 2

= (65 + 78) / 2

= 71.5.

The upper quartile is:

= (Third to last score + Second to last score) / 2

= (93 + 95) / 2

= 94

The median is:

= (5th score + 6th score) / 2

= (82 + 88) / 2

= 85

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Answer: See explanation

Step-by-step explanation:

You didn't give the options but let me help out.

Timothy purchased $11.25 worth of groceries and paid $12.15 after taxes on Monday.

We would solve this using direct proportion.

y = kx.

12.15 = 11.25k

k = 12.15 / 11.25

k = 1.08

Timothy paid $59.13 after taxes on a purchase of groceries that cost $54.75 on Friday.

y = kx.

59.13 = 54.75k

k = 59.13 / 54.75

k = 1.08

The equation that models the relationship will be:

y = 1.08x

Answer:

a=-7

Step-by-step explanation:

Answer:

a= -7

Step-by-step explanation:

-3(14a+7)=273

-3(14(-7)+7)=273

-3(-98+7)=273

-3(-91)=273

negative times a negative equals a positive

(please mark as brainliest, need it to get to next level <3 )

Answer:

       \(\huge\boxed{\sf 10x^2-13x-3}\)

Step-by-step explanation:

\(=(2x-3)(5x+1)\\\\=2x(5x+1)-3(5x+1)\\\\Distribute\\\\= 10x^2+2x-15x-3\\\\= 10x^2-13x-3\\\\\rule[225]{225}{2}\)

Answer:

x = 5

Step-by-step explanation:

14x + 1 + 14x + 1 + 38 = 180 , that is

28x + 40 = 180 ( subtract 40 from both sides )

28x = 140 ( divide both sides by 28 )

x = 5

Answer:

8 minutes

Step-by-step explanation:

12 - 4 = 8 minutes

The range of number of arrivals you can expect for this supermarket, usually 95% of the time, is 70 to 126.

To determine the range of number of arrivals expected at the supermarket, given the mean and standard deviation, we can use the concept of the normal distribution. Assuming the data is normally distributed, we can calculate the range that includes 95% of the data, which is the usual range. The answer options provided represent different ranges of number of arrivals. We need to identify the range that falls within the 95% confidence interval of the data.

To find the range of number of arrivals expected with 95% confidence, we can use the mean and standard deviation of the sample. The mean represents the average number of arrivals, and the standard deviation measures the dispersion of the data.

Since the data is assumed to follow a normal distribution, we know that approximately 95% of the data falls within two standard deviations of the mean. This means that the expected range will be the mean plus or minus two standard deviations.

To calculate this range, we can add and subtract two times the standard deviation from the mean. Using the given mean and standard deviation, we can determine the lower and upper limits of the expected range.

Comparing the answer options provided, we need to choose the range that falls within the calculated range. The option that matches the calculated range would be the correct answer, representing the range of number of arrivals we expect at the supermarket with 95% confidence.

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Step-by-step explanation:

\(3)b \: c \ \: d \: e \\ \\ 4)bc \: nd \: de \\ 5)s \\ 6)t \\ thank \: you\)

Answer:

a

Step-by-step explanation:

Answer:

The answer would be D.

Step-by-step explanation: Hope this helps and gl :)

The standard deviation of f$ ar{x},f$ is usually called the "sample standard deviation".

This is a commonly used statistical measure that represents the amount of variation or dispersion within a set of data. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean.

The sample standard deviation is often used to compare the variability of different sets of data and to determine the significance of differences between them. Financial contracts known as derivatives are those entered into by two or more parties and whose value is derived from an underlying asset,

collection of assets, or benchmark. A derivative may be traded over-the-counter or on an exchange. Derivative prices are based on changes in the underlying asset.

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(b) 734.0 ft-lbs of work is done.

To find the work done by the force, we need to use the formula:

Work = force x distance x cos(θ)

where:

force = 56 pounds (the given constant force)

distance = 16 feet (the distance the door is being pulled)

θ = 35 degrees (the angle between the force and the displacement of the door)

We need to convert the angle to radians to use it in the formula:

theta = 35 degrees x (pi/180) = 0.6109 radians

Now we can substitute the values into the formula:

Work = 56 pounds x 16 feet x cos(0.6109 radians)

Work = 734.0 ft-lbs (rounded to one decimal place)

Therefore, the answer is (b) 734.0 ft-lbs.

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The location of point N is -20.

We  can see a number line with 3 points.

Here we know taht MN is 2/7 of MP, so first let's find the length of MP.

The length is equal to the difference between the two values, we can see that:

P = -5

M = -26

Then the length of MP is:

-5 - (-26) = 21

And MN is 2/7 of that, then:

(2/7)*21 = 2*3 =6

Then we can write:

N - M = 6

N - (-26) = 6

N = 6 - 26 = -20

The location of N is -20.

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Answer:

Step-by-step explanation:

138° - 80° = 58°

Answer: 462,864

Step-by-step explanation:

\(9614 \\x\\8\\\\\\=\\77144\\\\9643\\x\\4\\38572\\\\77144+38572 = 77144\)

Answer:The population mean can be calculated by the sum of all values in the given data/population divided by a total number of values in the given data/population.

Using a system of equations, it is found that the lengths of the sides of the triangle are given as follows:

0.91 feet, 0.73 feet, 1.23 feet.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are the lengths, given by x, y and z.

The length of one side of a triangle is 2 feet less than three times the length of its second side, hence:

y = 3x - 2.

The length of the third side is 3/4 of the sum of the lengths of the first two sides, hence:

\(z = \frac{3(x + y)}{4} = \frac{3(4x - 2)}{4}\)

The perimeter of the triangle is 17.5 feet, hence:

\(x + y + z = 17.5\)

\(x + 3x - 2 + \frac{3(4x - 2)}{4} = 17.5\)

\(4x + \frac{3(4x - 2)}{4} = 19.5\)

\(16x + 12x = 25.5\)

x = 25.5/28

x = 0.91.

Then the other sides are:

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The four levels of measurement in statistics are nominal, ordinal, interval, and ratio.

1. Nominal: The nominal level of measurement involves categorizing data into distinct categories or groups. Examples include gender (male or female), marital status (single, married, divorced), or types of fruits (apple, orange, banana).

2. Ordinal: The ordinal level of measurement allows for ranking or ordering of data based on a specific criterion. Examples include survey ratings (strongly agree, agree, neutral, disagree, strongly disagree) or educational levels (elementary, middle school, high school, college, postgraduate).

3. Interval: The interval level of measurement not only allows for ranking but also quantifies the intervals or differences between values.Examples include temperature measured in Celsius or Fahrenheit, where the intervals between values are equal but zero does not indicate the absence of temperature.

4. Ratio: The ratio level of measurement possesses all the properties of the interval level but also has a true zero point, which indicates the absence of the measured attribute. Examples include height, weight, or income, where zero represents the absence of the attribute and ratios between values are meaningful (e.g., someone twice as tall as another person).

Nominal: The nominal level of measurement involves categorizing data into distinct categories or groups. In this level, data are simply named or labeled without any quantitative value. Examples include gender (male or female), marital status (single, married, divorced), or types of fruits (apple, orange, banana).

Ordinal: The ordinal level of measurement allows for ranking or ordering of data based on a specific criterion. It indicates relative differences between the values but does not quantify the magnitude of those differences. Examples include survey ratings (strongly agree, agree, neutral, disagree, strongly disagree) or educational levels (elementary, middle school, high school, college, postgraduate).

Interval: The interval level of measurement not only allows for ranking but also quantifies the intervals or differences between values. However, it does not have a true zero point. Examples include temperature measured in Celsius or Fahrenheit, where the intervals between values are equal but zero does not indicate the absence of temperature.

Ratio: The ratio level of measurement possesses all the properties of the interval level but also has a true zero point, which indicates the absence of the measured attribute. It allows for comparisons of magnitude and ratios between values. Examples include height, weight, or income, where zero represents the absence of the attribute and ratios between values are meaningful (e.g., someone twice as tall as another person).

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Answer:

29.85 subtracted by 50 = 20.25 (answer)

Step-by-step explanation:

A process in which a number is changed, such as by adding, subtracting, dividing, or multiplying is called Mathematical Expression.

When we combine numbers and variables in a valid way, using operations such as addition, subtraction, multiplication, division, exponentiation, and other operations and functions as yet unlearned, the resulting combination of mathematical symbols is called a Mathematical Expression.

Addition is adding two or more numbers to find their sum.

Subtracting is finding the difference between two or more numbers.

Division is finding the quotient of two number by dividing the both numbers.

Multiplying is finding the product of two or more numbers.

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The function f(x) is continuous for all values of x except x=-4, x=0, and x=4. At these three points, f(x) equals [x-4]/x-4, and 0 respectively.

To explain this further, we need to look at the two parts of the function - the numerator and the denominator. The numerator, [x-4], is the result of subtracting 4 from x. The denominator, x-4, is the result of subtracting 4 from x again.

When x is anything other than -4, 0, and 4, the denominator does not equal 0, which means that we can divide the numerator by the denominator.

When x=-4, 0, or 4, the denominator equals 0, which means that we can’t divide the numerator by the denominator. Therefore, the function f(x) is continuous for all values of x except x=-4, x=0, and x=4.

At these three points, f(x) equals [x-4]/x-4, and 0 respectively. This is because at these points, the denominator is equal to 0, so the only way to calculate f(x) is to set the numerator and denominator equal to 0. When this is done, the numerator and denominator both equal 0, so f(x) equals 0.

To sum up, the function f(x) is continuous for all values of x except x=-4, x=0, and x=4. At these three points, f(x) equals [x-4]/x-4, and 0 respectively.


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The lateral surface area of the triangular prism is 128 square centimeters. The correct answer would be an option (G) 128 cm².

Given, we have dimension are:

side length of base  = 6 cm, 5 cm, and 5 cm

height = 8 cm

Lateral surface area = (a+b+c)h

Substitute the values and we get

Lateral surface area = (6+5+5)8

Lateral surface area = 16 × 8

Lateral surface area = 128 cm².

Hence, the lateral surface area of the triangular prism is 128 square centimeters.

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The missing figure has been attached below.

Answer:

Domain(-infinity,+infinity)

Range=f(x) >or= - 34

Step-by-step explanation:

Domain for every parabola the domain is (-infinity, +infinity) unless there are any restrictions

Range we look at the y value of the maximum point or minimum points

We find it by finding the turning point

F'(x) =2x+6

0=2x+6

-6=2x

x=-3

F(-3)=(-3)^2+6(-3)-23

=-34

So all value that exist on the f(x) must be greater or =-34

Answer:

well,

Step-by-step explanation:

as you see.....uhhh.....hmmmm.....if you first a _________________________________

The linear inequality for the graph in this problem is given as follows:

y ≥ 2x/3 + 1.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = 1, hence the intercept b is given as follows:

b = 1.

When x increases by 3, y increases by 2, hence the slope m is given as follows:

m = 2/3.

Then the linear function is given as follows:

y = 2x/3 + 1.

Numbers above the solid line are graphed, hence the inequality is given as follows:

y ≥ 2x/3 + 1.

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Answer:

D. 18yz²

Step-by-step explanation:

Like terms have the same variables and exponents.

-4yz² has as variables y and z².

Only one choice has the same variables and exponents:

D. 18yz²

The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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The mode of the data is 1. The range of the data is 7.

What is the mean of a data set?

A data set is a grouping of data. A data set refers to one or more database tables in the case of tabular data, where each column of a table represents a specific variable and each row corresponds to a specific record of the data set in question.

Given data set is 1,1,6,5,1,5,1,1,8.

The element of a set whose frequency is highest is known the mode of the data set.

The frequency of 1 is 5.

The frequency of 5 is 2.

The frequency of 6 is 1.

The frequency of 8 is 1.

The mode of the data is 1.

The difference of the highest value and lowest value of the data set is the range of the data.

The highest value is 8 and the lowest value is 1. The difference between them is 8 - 1 = 7.

The range of the data is 7.

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The range of the given data is 7 and the mode is 1.

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Explanation:

Range = The highest value - the lowest value

Mode = the value that appeared the most.

Question:

Nine students were asked how many miles they live from school. Their answers are listed below.

1,1,6,5,1,5,1,1,8

Find the range and the mode for the data.

Answer:

i think the c answer is 5

Step-by-step explanation: