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Answer: 3

Step-by-step explanation:

The missing length of the triangle using Pythagoras theorem is; x = 3

Pythagoras Theorem is defined as the way in which you can find the missing length of a right angled triangle. The right angle triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).

The formula to find the sides is;

hypotenuse² = opposite + adjacent²

We are given;

Hypotenuse = 5

Opposite = x

adjacent = 4

Thus;

5² = x² + 4²

x² = 5² - 4²

x² = 25 - 16

x = √9

x = 3

We conclude that it is the missing length of the triangle

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Answer:

An algebraic expression is a compact way of describing mathematical objects ... the three main components of algebraic expressions are numbers, variables, and ... to be successful in writing or interpreting any given algebraic expression. ... a number increased by 4, x + 4 ... 11 more than the product of 3 and y, 3y + 11.

Step-by-step explanation:

Answer:

trapezoid

Step-by-step explanation:

as long as one group of sides is parallel and the other is not, it's a trapezoid.

Answer:

58 degrees

Step-by-step explanation:

90-32=58

This angle is a 90 degree angle

The rate of change of the cost with respect to the length of the rental is constant at $10 per hour for the fee.

A function in mathematics is a relationship between a set of inputs (the domain) and a set of outputs (the range). Each input is given a different output value. It describes the mapping between the domain's elements and the range's elements.

The rate of change of the cost with respect to the length of the rental can be found by taking the derivative of the function f(x) = 10x + 25. The derivative of this function is simply 10, which represents the hourly charge for renting diving equipment.

Therefore, the rate of change of the cost for the fee with respect to the length of the rental is constant at $10 per hour. This means that for each additional hour of rental, the cost will increase by $10 due to the hourly charge for the diving equipment rental.

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The work function of the photosensitive material is 0.82 eV.

The minimal energy needed to remove an electron from a photosensitive

material is represented by the work function (Φ)  of the substance. In the photoelectric effect, electrons can be released from a substance when light with a high enough energy (higher than or equal to the work function) strikes it.

We must deduct the energy of the released electrons from the energy of the incident light in order to get the material's work function.

Work function (Φ) = Energy of incident light - Energy of emitted electrons

Given:

Energy of incident light = 2.53 eV

Energy of emitted electrons = 1.71 eV

Work function (Φ) = 2.53 eV - 1.71 eV

Work function (Φ) = 0.82 eV

Therefore, the work function of the photosensitive material is 0.82 eV.

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The statement "A histogram with the hills to the far left means the image is overexposed" is not accurate. In fact, a histogram with the hills to the far left indicates that the image is underexposed, not overexposed.

A histogram is a graphical representation of the distribution of pixel values in an image. It displays the frequency of occurrence of different tonal values. The horizontal axis represents the tonal values, while the vertical axis represents the frequency or number of pixels.

When the hills of the histogram are concentrated towards the left side, it means that a significant portion of the image has darker or lower tonal values. This indicates an underexposed image, where the exposure settings were insufficient to capture enough light, resulting in a darker overall appearance.

Conversely, an overexposed image would have the hills of the histogram concentrated towards the right side, indicating that a significant portion of the image has brighter or higher tonal values.

Therefore, the correct interpretation is that a histogram with the hills to the far left means the image is underexposed, not overexposed.

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Answer:

the correct answer is A

Step-by-step explanation:

i put B because thats what the first user said it was  and i got it wrong on my quiz, the quiz shows the corret answer is A

The value of the expression (x-4) minus -8x² - 8 is \(8x^{2}\)+x+4.

According to the question,

We have the following information:

x - 4 minus -8x² - 8

Now, we will convert this into an expression only using mathematical signs. So, we have the following expression:

(x-4)-(-8x² - 8)

Now, we know that the multiplication of two negative integers gives us the positive results and the multiplication of one positive and one negative integer give us the negative results.

So, we have the following expression after multiplying -1 into the bracket :

x-4+8\(x^{2}\)+8

\(8x^{2}\)+x+4

Hence, the value of the expression (x-4) minus -8x² - 8 is \(8x^{2}\)+x+4.

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Answer:

30-(-15)-40

=5

Step-by-step explanation:

You will the subtraction sign to open the bracket

30-(-15)-40

when - and - meet it turns to + (note only happens when opening a bracket)

this is ur result....30+15-40=5

thats how u get your 5

Answer: y= 31

It's 31 because if you add 31 to -21 that would give you 10

The graph of the sequence may pass toward the vertical line test.

Functions are defined as a fundamental part of the calculus in mathematics. These are the special types of relations. A function is visualized as a rule, which gives a unique output for every input x.

Given the information that, he gives two away on day 1, four away on day 2, and eight away on day 3. He continues this pattern for 10 days.

Let x be the number of days and f(x) be the number of cards.

So, the pattern is

f(x)=2, when x=1

f(x)=4, when x=2

f(x)=8, when x=3

Then, the function will be f(x)=2ˣ

The equation of the graph is passing through a vertical line.

The vertical line test is a graphical method that determines whether a curve in the plane represents the graph of a function by visually examining the number of intersections of the curve with vertical lines.

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A metric is a single, quantifiable type of data that can be utilized for various tasks in different domains. Metrics serve as essential tools for measuring progress, assessing performance, and making informed decisions.

By converting complex information into manageable and comparable units, metrics enable individuals and organizations to monitor their objectives and drive improvement.
In business, metrics are often employed to evaluate the success of marketing campaigns, employee performance, or financial growth. They assist in identifying trends, pinpointing areas that need attention, and guiding strategic planning. Key performance indicators (KPIs) are a common type of metric used to measure the effectiveness of business processes and track progress toward organizational goals.
In scientific research, metrics provide valuable insight into the progress and impact of studies. For example, citation metrics measure the influence of a published work within a given field. Metrics also facilitate the assessment of experimental results and the development of new theories, ultimately advancing scientific knowledge.
In education, metrics serve as essential tools for gauging student performance and the quality of educational programs. They provide data on student learning outcomes, helping educators refine their teaching methods and tailor instruction to the needs of individual learners.
Overall, a metric is a versatile, quantifiable data type that plays a vital role in assessing and improving various aspects of performance across multiple domains. By offering concrete, measurable information, metrics empower decision-makers to make informed choices and drive progress.

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The professor should select a sample size of at least 247 students to ensure that the 97% confidence interval for the mean amount of time IRSC students spend studying each week has a width of no more than 1.7 hours.

To calculate the sample size needed for a confidence interval with a maximum width of 1.7 hours, we need to use the formula:

n = ((z * σ) / E)^2

where:

n is the sample size we need to find

z is the z-score corresponding to the desired confidence level (97% in this case)

σ is the population standard deviation (14.9 hours in this case)

E is the maximum margin of error we want in our confidence interval (1.7 hours in this case)

The z-score corresponding to a 97% confidence level is 1.8808 (which can be found using a z-table or calculator).

Substituting these values into the formula, we get:

n = ((1.8808 * 14.9) / 1.7)^2

n = 246.644

Rounding up to the nearest whole number, we get:

n = 247

Therefore, the professor should select a sample size of at least 247 students to ensure that the 97% confidence interval for the mean amount of time IRSC students spend studying each week has a width of no more than 1.7 hours.

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The complete table for the expression 2y=x+1 is below:-

x                   y                ( x, y)

-2              ( -1 / 2)             [ -2, ( -1 / 2)]      

-1                0                    [-1 ,0]

0               ( 1 / 2 )            [0, ( 1 / 2 )]

1                1                      [1,1]

2              ( 3 / 2 )             [2, ( 3 / 2 )]  

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The values of the expression 2y=x+1 will be solved as below:-

2y=x+1

2y = -2 + 1

y = -1 / 2

2y=x+1

2y = -1 + 1

y = 0

2y=x+1

2y = 1 + 1

y = 2 / 2 = 1

2y=x+1

2y = 2 + 1

y = 3 / 2

Therefore, the values of the expression are calculated above.

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Answer:

x < -3

Step-by-step explanation:

9(2x + 1) < 9x – 18

18x +9 < 9x – 18

-9x            -9x

9x +9 < – 18

-9          -9

9x < – 27

÷9   ÷9

x < -3

HOPE THIS HELPS:)

Answer:

60 cubic units

Step-by-step explanation:

The higher the standard deviation of an arrival process with an average interarrival time of 6 minutes, the more variability or dispersion there is in the arrival times.

Standard deviation measures the dispersion or spread of data points around the mean. In the context of an arrival process, it represents the degree of variability in the time intervals between arrivals. A higher standard deviation indicates that the arrival times are more scattered or deviate more from the average interarrival time of 6 minutes.

When the standard deviation is high, it suggests that the arrival process is less predictable or more random. The actual interarrival times may vary significantly from the expected average of 6 minutes. This can lead to less efficient scheduling or planning as the arrival times become less predictable.

In contrast, when the standard deviation is low, the arrival times tend to be more consistent and closely clustered around the average interarrival time. This indicates a more predictable and reliable arrival process.

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6*12/2

72/2

36

Ans:36

Your welcome

Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

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

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

The probability of no significant rainfall on a day, if there was no significant rainfall on the prior day, is dependent on various factors such as the location, climate, and season.

However, assuming a stable weather pattern, the probability of no significant rainfall on a day following a day with no significant rainfall would be higher than if there was significant rainfall on the prior day. This is because weather patterns tend to persist for several days, meaning that if there was no significant rainfall on the prior day, it is more likely that there will be no significant rainfall on the following day as well. Additionally, if the region is experiencing a dry season, the probability of no significant rainfall on a day would be higher regardless of the prior day's weather. The probability of no significant rainfall on a day, given that there was no significant rainfall on the prior day, depends on the weather patterns and climate in your specific location.

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Answer:

Domain: [-1, 5]

Range: [-1, 2]

Step-by-step explanation:

Answer:

(33 - 5)/7 = 4

Step-by-step explanation:

The sampling technique that depends on the judgment of the researcher, who hand-picks the cases to be included in the sample, is known as purposive sampling or judgmental sampling.

Now let's explore the explanation behind this answer. Purposive sampling is a non-probability sampling technique where the researcher selects specific individuals or cases for inclusion in the sample based on their judgment and expertise. Unlike random sampling, where each member of the population has an equal chance of being selected, purposive sampling involves a deliberate and subjective selection process.

Researchers typically employ purposive sampling when they seek to include participants who possess specific characteristics or qualities relevant to their research objectives. By hand-picking cases that are deemed to be most representative or informative, the researcher aims to maximize the relevance and richness of the data collected.

This sampling technique provides flexibility and control over the sample composition, allowing the researcher to target specific individuals or cases that are believed to provide valuable insights or unique perspectives. However, it is important to acknowledge that purposive sampling may introduce potential biases and limit the generalizability of the findings since the sample may not be representative of the entire population of interest.

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Answer:

The answer is "Option A"

Step-by-step explanation:

The domain is the collection of the value, which belongs to the separate variable (horizontal axis). So, to find a region with a graph, it must search for the function, which starts and end. And at all these levels we are searching at x-values.  

Its starting point is (2,9) and the ending point is (8,3).  Therefore, x= 2 to x=8 is the domain.

The sample mean is X[bar]=$1500

The sample standard deviation is S=$100

The sample size is n=70

The data set has a bell shaped distribution

The empirical rule states that

The values $1400 and $1600 are within one standard deviation away from the mean:

X[bar]+S=$1500+$100=$1600

X[bar]-S=$1500-$100=$1400

Following the rule you can expect 68% of the sample to be between them.

Whats left to do is to calculate the 68% of the sample

Around 47.6 of the farms have values per acre are between $1400 and $1600

Markov analysis is used for analyzing the performance and reliability of complex systems, while replacement charts are used for optimizing the replacement timing of deteriorating assets.

Markov Analysis:

Markov analysis is a probabilistic model that is used to predict the future state of a system based on its current state.

It involves the use of Markov chains to model the transitions between different states of a system over time.

Markov analysis is commonly used when the equipment or system under consideration can be in multiple states with varying probabilities of transition.

It is suitable for analyzing systems that have a continuous or non-repairable nature, such as complex machinery, infrastructure, or systems with multiple failure modes.

The primary objective of Markov analysis is to assess the reliability, availability, and performance of the system and make decisions regarding maintenance, replacement, or repair strategies.

Replacement Chart:

A replacement chart, also known as a replacement model or replacement policy, is a decision-making tool used to determine the optimal time to replace a piece of equipment or system.

It involves comparing the costs associated with continuing to use the existing equipment (including maintenance and repair costs) with the costs of replacing it.

The replacement chart provides a visual representation of the costs over time and helps identify the point at which replacement becomes more cost-effective than continued use.

Replacement charts are commonly used for assets that are subject to wear and tear, aging, or deterioration over time, such as vehicles, machinery, or equipment with a defined lifespan.

The primary objective of a replacement chart is to minimize costs associated with the asset's life cycle by optimizing the replacement timing.

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