Please help me to solve 8 and 9 questions. Thank you​

The sets of lengths that are Pythagorean triples are:

A. 10, 24, 26

D. 9, 40, 41

E. 15, 20, 25

A Pythagorean triple can be described as a set of three numbers of the side lengths of a right triangle whereby the square of the longest side is equal to the sum of the squares of the two other sides.

For 10, 24, 26, we have:

10² + 24² = 26²

676 = 676 [true]

The set, 10, 24, 26 is a Pythagorean triple.

For 14, 48, 49, we have:

14² + 48² = 49²

2,500 = 2,401 [not true]

The set, 14, 48, 49, is NOT a Pythagorean triple.

For  9, 12, 16, we have:

9² + 12² = 16²

225 = 256 [not true]

The set, 9, 12, 16, is NOT a Pythagorean triple.

For  9, 40, 41, we have:

9² + 40² = 41²

1,681 = 1,681 [true]

The set, 9, 40, 41, is a Pythagorean triple.

For  15, 20, 25, we have:

15² + 20² = 25²

625 = 625 [true]

The set, 15, 20, 25, is a Pythagorean triple.

The correct set of options are, A, D, and E.

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If you calculate SLE to be $25,000 and that there will be one occurrence every four years (ARO), then the ALE is $40,000.

A expected monetary decline each moment an asset is at risk is referred to as single-loss expectancy (SLE). It is a term that is most frequently used during risk analysis and attempts to assign a monetary value to each individual threat.

Quantitative risk analysis predicts the likelihood of certain risk outcomes as well as their approximate monetary cost using relevant, verifiable data.

IT professionals must consider a wide range of risks, including the following:

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Answer:

256x-81y

Step-by-step explanation:

Answer:

m+12=26       m=14

Step-by-step explanation:

Richard spent m. Jordan spent 12. TOGETHER they spent 26. Together means total and finding the total means adding.

Answer:

86.6% ; 93.4%

Step-by-step explanation:

To obtain the population proportion from the sample, we calculate the confidence interval ;

Confidence interval = phat ± margin of error

Phat = 90% ; margin of error = +3.4%

Hence,

90% ± 3.4%

(90 - 3.4)% ; (90 + 3.4)%

86.6% ; 93.4%

Answer:

The scale factor is 3

Step-by-step explanation:

The answer is 3

The next three terms of the sequence is 30 ,75 ,187.5.

The fundamental cοncepts in mathematics are series and sequence. A series is the tοtal οf all elements, but a sequence is an οrdered grοup οf elements in which repetitiοns οf any kind are permitted. One οf the typical examples οf a series οr a sequence is a mathematical prοgressiοn.

Here the given sequence's first term is 12.

Now the ratio between one term to next term is 2:5.

Then,

=> 2:5 = 12:x

=> \(\frac{2}{5}=\frac{12}{x}\)

=> x = \(\frac{12\times5}{2}\) = 6*5 = 30

Now to find next term using ratio then,

=> 2:5 = 30:x

=> \(\frac{2}{5}=\frac{30}{x}\)

=> x = \(\frac{30\times5}{2}\) = 75

Now to find next term using ratio then,

=> 2:5 = 75:x

=> x = \(\frac{75\times5}{2}\) = 187.5.

Hence the next three terms of the sequence is 30 ,75 ,187.5.

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Answer: 3

Step-by-step explanation:

      This equation is given to us in point-slope form.

                      The slope is m in (y - \(y_1\)) = m(x - \(x_1\))

      (y−2)=3(x−1) ➜ The slope is 3.

Answer:

m = 3

Step-by-step explanation:

to solve this you should first remove and or distribute the parenthesis

y - 2 = 3x - 3

now add 2 to both sides

y = 3x - 1

the equation of a line in slope intercept is y = mx + b

m is the slope

we can see that that is 3

so the slope is 3

The decimal equivalent to \(\frac{1}{3}\) is \(0.333\).

To get this i simplified \(\frac{1}{3}\) by dividing the numerator by the denominator.

If this helped please mark me as brainliest!

Answer: x: 1,2,3,4 y: 2,4,8,16

Step-by-step explanation:

Exponential growth means that the rate of the line of a graph or chart is rapidly growing in size or number.

1 | 2

2 | 4

3 | 8

4 | 16

5 | 32

6 | 64

etc.

Answer:

option B edg 2021

Step-by-step explanation:

im too lazy to explain but its option B

Answer:

the answer is the first option, A) 2x-7

Step-by-step explanation:

Answer:

"Ay Cuz!" get it no okay but A is the answer

Step-by-step explanation:

Answer:

1740

Step-by-step explanation:

Since the 10 has an exponent of 3, we can move the decimal of 1.74 to the left 3 times, which gives us 1740.

Answer:1740

Step-by-step explanation:

10x10=100

100x10=1000

1.74x1000=1740

HOPE THIS HELLPPPSSS : )

Answer: last one

Step-by-step explanation:

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly can be calculated as follows:

Given, Principal = Rs 1200Time = 1.5 yearsInterest rate = 40% per annum, compounded quarterly

Let r be the quarterly rate of interest. Then we can convert the annual interest rate to quarterly interest rate using the following formula: \text{Annual interest rate} = (1 + \text{Quarterly rate})^4 - 1$$

Substituting the values, we get:0.40 = (1 + r)^4 - 1 Solving for r, we get:r = 0.095 or 9.5% per quarter

Now, we can use the formula for the amount of money after time t, compounded quarterly: $A = P \left( 1 + \frac{r}{4} \right)^{4t}

Substituting the values, we get:A = Rs 1200 x $\left(1 + \frac{0.095}{4} \right)^{4 \times 1.5}= Rs 1893.09

Therefore, the amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

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The total surface area painted is 644.16 square inches.

Let the radius of the cylindrical rod be r. The circumference of the base is given as 12π, which can be converted to the diameter as:

diameter = circumference / π = 12π / π = 12 inches.

So, the radius of the cylindrical rod is half of that. That is 6 inches.

The area of one base of the cylindrical rod can be calculated as π \(r^2\), which is:

π * \(6^2\) = 3.14 * 36 = 113.04 square inches.

The surface area of one-half of the cylindrical rod can be calculated by:

2 * π * r * l + 2 * π * \(r^2\), where l is the length of the rod.

Since the length of the rod is 4 inches, the surface area of one-half of the cylindrical rod can be calculated by:

2 * π * 6 * 4 + 2 * 113.04 = 96 + 226.08 = 322.08 square inches.

Given that two equally sized pieces are cut, the total surface area painted would be 2 * 322.08 = 644.16 square inches.

Therefore, the total surface area painted is 644.16 square inches.

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Answer:

3.0 hours

Step-by-step explanation:

2.5h=10°f

2.5/10 = 0.25

0.25* 12= 3

The values of x for which the function is continuous are: \((-∞, 1) U (1, ∞)\)

Given the function with two cases below:

\(if x < 1, then f(x) = x + 2if x ≥ 1\), then \(f(x) = 1/(x - 1)\)

We need to find the values of x for which the function is continuous.

To find the values of x for which the function is continuous, we need to check both cases of the function.

Case 1: \(if x < 1, then f(x) = x + 2\)

This is a polynomial function, which is continuous for all values of x.

Therefore, this function is continuous for all x < 1.

Case 2: \(if x ≥ 1\), then \(f(x) = 1/(x - 1)\)

This is a rational function.

It is not continuous at x = 1 because the denominator is zero at x = 1.

To find the values of x for which this function is continuous, we need to find the domain of the function.

The domain of a rational function is all real numbers except those that make the denominator zero.

So, the function is continuous for all values of x such that x < 1 or x > 1.

But the function is not continuous at x = 1, which means we need to exclude x = 1 from the domain of the function.

Therefore, the values of x for which the function is continuous are: \((-∞, 1) U (1, ∞)\)

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Translation, rotation, and reflection are three of the fundamental transformations.

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Answer:

The third one

Step-by-step explanation:

50 Fifty 3 three . and 20 twenty 3three hundreths

The first scenario described is an example of a retrospective cohort study.  The second scenario suggests a retrospective cohort study as well. The third scenario represents a cross-sectional study, where researchers conduct a survey among high school students to assess the prevalence of obesity and diabetes.

1. In the first scenario, a retrospective cohort study is conducted by tracking individuals over a 20-year period. The study begins in 1960 and collects data on cigar smoking practices. After 20 years, the participants are followed up to determine if they developed any cancers. This type of study design allows researchers to examine the long-term effects of smoking Cuban cigars.

2. The second scenario involves a retrospective cohort study as well. The objective is to study the long-term neurological effects of a discontinued anesthetic agent. The researchers identify patients who received the drug before it was discontinued and then assess the occurrence of subsequent neurological disorders. This study design allows for the examination of the relationship between exposure to the anesthetic agent and the development of neurological disorders.

3. The third scenario represents a cross-sectional study. Researchers aim to assess the prevalence of obesity and diabetes among high school students during their junior year. They conduct a survey to gather information on the students' current weight, diabetes status, and other relevant factors. A cross-sectional study provides a snapshot of the population at a specific point in time, allowing researchers to examine the prevalence of certain conditions or characteristics.

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Total stockholders’ equity 7,800,000

Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000

Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000

Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000

Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000

To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.

The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.

Calculations:Opening balance of common stock = $100,000

Opening balance of additional paid-in capital = $4,100,000

Opening balance of retained earnings = $3,000,000

Net Income for the year ended December 31, 2012 = $800,000

Retained earnings (Opening Balance) = $3,000,000

Add: Net Income for the year ended December 31, 2012 = $800,000

Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000

Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000

Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000

Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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Answer:

y= -6

Step-by-step explanation:

y=1/3x

x= -18

y=1/3(-18)

y= -6

Full question:

In a basketball game, Elena scores twice as many points as Tyler. Tyler scores four points fewer than Noah, and Noah scores three times as many points as Mai. If Mai scores 5 points, how many points did Elena score? Explain your reasoning

Answer and explanation:

We start from known to unknown. We know that Mai scored 5 points and so we work from here.

Since Mai scored 5 points and Noah scored three times as many points then Noah's score = 3×5= 15 points

Since Tyler scored four points less than Noah, Noah's score= 15-4= 11 points

Finally Elena's score is twice that of Tyler hence Elena's score =2×11= 22 points

0.2889 is approximately the area to the right of 0.57 under the t-distribution with 17 degrees of freedom.

Using statistical software or a t-distribution table, we can find that the area to the left of 0.57 under the t-distribution with 17 degrees of freedom is approximately 0.7111.

To find the area to the right of 0.57, we need to subtract the area to the left of 0.57 from 1

Area to the right of 0.57 = 1 - 0.7111 = 0.2889

Rounding this to 4 decimal places gives us a final answer of 0.2889. Therefore, 0.2889 is approximately the area to the right of 0.57 under the t-distribution with 17 degrees of freedom.

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Answer:

71

Step-by-step explanation:

Answer:

360 calories

Step-by-step explanation:

360

Answer:

360

Step-by-step explanation:

The correct trigonometric function cos²47° = (1 + cos94°)/2 thus, option (A) is correct.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.

It is known that,

cos2x = 2cos²x - 1

2cos²x = 1 + cos2x

cos²x = (1 + cos2x)/2

Put x = 47°

cos²47° = (1 + cos94°)/2

Hence "The correct trigonometric function cos²47° = (1 + cos94°)/2".

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To find the cost for 3 tickets at the same rate, we can set up a proportion using the given information:

Cost of 5 tickets / Number of tickets = Cost of 3 tickets / Number of tickets

Let's plug in the values we know:

$13.80 / 5 = Cost of 3 tickets / 3

To find the cost of 3 tickets, we can cross-multiply and solve for it:

($13.80 * 3) / 5 = Cost of 3 tickets

$41.40 / 5 = Cost of 3 tickets

$8.28 = Cost of 3 tickets

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In this solution, each molecule of (NH₄)₃PO₄ dissociates into three ammonium ions (NH₄₊) and one phosphate ion (PO4₃₋), resulting in a total of 4 ions per molecule. Hence, the Van 't Hoff factor for this solution is 4.

The Van 't Hoff factor (i) is a measure of the degree to which a substance ionizes in a solution, and is defined as the ratio of the number of ions formed to the number of molecules (or formula units) dissolved. For the case of a solution of (NH₄)₃PO₄, the Van 't Hoff factor is 4. The Van 't Hoff factor is a measure of the extent to which an ionic substance dissociates into individual ions when dissolved in water. It is defined as the ratio of the number of ions formed to the number of formula units or molecules of the substance that are dissolved. For a solution of (NH₄)₃PO₄, the Van 't Hoff factor is 4 because each molecule dissociates into 3 ammonium ions (NH₄₊) and 1 phosphate ion (PO4₃₋), resulting in a total of 4 ions per molecule. The Van 't Hoff factor is important in determining the colligative properties of solutions, such as boiling point elevation and freezing point depression.

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