The side lengths of four triangles are listed below.
Determine whether each triangle is a right triangle.
Select all options that do create a right triangle.

a. Sides 4,5,6
b. Sides 10,15,20
c. Sides 5,12,13
d. Sides 8,15,17

The annual depreciation expense would be calculated as ($4,800 - $800) / 10 = $400. The journal entry for the first year would be:

Depreciation Expense=  $400, Accumulated Depreciation = $400

The journal entry for the first year, given the production of 300 units, would be:

Depreciation Expense         $600 (300 units * $2)

  Accumulated Depreciation    $600

The journal entry for the first year, using a double-declining-balance rate of 20% (twice the straight-line rate of 10%), would be:

Depreciation Expense         $960 ($4,800 * 20%)

  Accumulated Depreciation    $960

1. Straight-Line Depreciation:

The straight-line depreciation method allocates an equal amount of depreciation expense each year over the useful life of the equipment. In this case, the annual depreciation expense would be calculated as ($4,800 - $800) / 10 = $400. The journal entry for the first year would be:

Depreciation Expense         $400

  Accumulated Depreciation    $400

2. Units-of-Production Depreciation:

The units-of-production method bases depreciation on the actual units produced. The depreciation per unit is calculated as ($4,800 - $800) / 2,000 = $2 per unit. The journal entry for the first year, given the production of 300 units, would be:

Depreciation Expense         $600 (300 units * $2)

  Accumulated Depreciation    $600

3. Double-Declining-Balance Depreciation:

The double-declining-balance method accelerates depreciation in the early years of the asset's life. The depreciation rate is twice the straight-line rate. The journal entry for the first year, using a double-declining-balance rate of 20% (twice the straight-line rate of 10%), would be:

Depreciation Expense         $960 ($4,800 * 20%)

  Accumulated Depreciation    $960

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The length of sides BC and XC in the triangle are 8.66 and 10 units respectively

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

Trigonometric ratio is used to show the relationship between the sides and angles of a right triangle.

From the triangle shown, using trigonometric ratio:

sin(30) = 5/XC

XC = 10

Also:

tan(30) = 5/BC

BC = 8.66

The length of BC and XC are 8.66 and 10 units respectively

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Answer:

B x

C 20

E 100

Step-by-step explanation:

There are 134596 ways to distribute 24 slices between 6 people

Since pizza slices are the same hence order doesn't matter and also people are distinct so it is a case of combination.

Combination in mathematics is a way of choosing or distributing selected items from a list of the total set with distinct values. It is used when there is no repetition and order doesn't matter. It can also be depicted as permutation/r!

combination = nCr =n!/(r!(n-r!)

where n is the total number of objects

r is the number of chosen objects from the total.

Now, 24c6=24!/6!18!

=24x23x22x21x20x19x18!/6!18!

=24x23x22x21x20x19/6x5x4x3x2x1

=134596

Therefore, There are 134596 ways to distribute 24 slices between 6 people

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Answer:

the answer is C i hope this helps

Step-by-step explanation:

The estimated probability that of the next 100 speeding summonses issued, there will be at least 90 convictions is about 0.9997 or 99.97%.

The conviction rate for speeding in the county is 85%, it means that out of every 100 speeding summonses issued, 85 are likely to result in convictions. Therefore, we can assume that the probability of a conviction in any given case is 0.85 or 85%.

To estimate the probability that of the next 100 speeding summonses issued, there will be at least 90 convictions, we can use the binomial distribution formula. Let X be the number of convictions out of the 100 summonses. Then,

P(X ≥ 90) = 1 - P(X < 90)
           = 1 - Σ P(X = i) for i = 0 to 89

where Σ denotes the sum from i = 0 to 89.

Using the binomial distribution formula, we can calculate the probability of getting exactly i convictions out of 100 summonses as:

P(X = i) = (100 choose i) * 0.85^i * 0.15^(100-i)

where (100 choose i) denotes the binomial coefficient, which represents the number of ways to choose i items out of 100.

Plugging this formula into the above equation and using a calculator or statistical software, we get:

P(X ≥ 90) = 1 - Σ P(X = i) for i = 0 to 89
           = 1 - 0.0003 (approx.)
           = 0.9997 (approx.)

Therefore, the estimated probability that of the next 100 speeding summonses issued, there will be at least 90 convictions is about 0.9997 or 99.97%. This suggests that it is highly likely that at least 90 out of 100 speeding summonses will result in convictions, given the high conviction rate of 85% in the county.

To estimate the probability that of the next 100 speeding summonses issued, there will be at least 90 convictions, we'll use the binomial probability formula:

P(X ≥ 90) = Σ [C(n, k) * p^k * (1-p)^(n-k)]

Here, n = 100 (number of summonses), p = 0.85 (conviction rate for speeding), and k represents the number of successful convictions (90 to 100).

Step 1: Calculate the individual probabilities for k = 90 to 100:
For each value of k from 90 to 100, compute the binomial probability using the formula. C(n, k) represents the number of combinations of choosing k convictions from n summonses.

Step 2: Sum the individual probabilities:
Add up the probabilities calculated in Step 1 to find the total probability of having at least 90 convictions out of 100 speeding summonses.

By following these steps, you can estimate the probability that of the next 100 speeding summonses issued, there will be at least 90 convictions.

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The Gantt Chart for the given jobs using FCFS (First-Come-First-Served) scheduling algorithm is as follows:

Job Start Time End Time

P1 0 8

P2 8 10

P3 10 15

P4 15 17

P5 17 20

The average waiting time and average response time can be calculated as follows:

To calculate the average waiting time, we need to find the difference between the start time of each job and its arrival time, and then take the average.

Average Waiting Time = (0 + 8 + 10 + 15 + 17) / 5 = 10 ms

To calculate the average response time, we consider the time from when a job arrives to when it first starts executing (which is the same as waiting time in FCFS).

Average Response Time = Average Waiting Time = 10 ms

In FCFS scheduling, jobs are executed in the order of their arrival, without any preemption. Therefore, the waiting time for a job is the sum of the lengths of all previous CPU bursts. In this case, since the jobs arrive in sequential order, the waiting time for each job is simply the sum of the CPU burst lengths of the preceding jobs.

The average waiting time represents the average amount of time each job has to wait before starting its execution. The average response time, in the case of FCFS, is the same as the average waiting time since the response time is defined as the time from arrival to the start of execution.

In this example, both the average waiting time and average response time for FCFS are 10 ms.

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The value of the limit of the function f(x) as X approaches 5 is not provided. Hence, we cannot find the limit. Therefore, the answer to this problem is: (a) 4(b) -12(c) -12(d) Cannot be found.

Given that the limit of f(x) is 6 and the limit of g(x) is -2, we need to find the limits of the following functions using these limits. The expressions are: (a)\(lim[f(x) + g(x)]X\)→ 5\((b) lim[f(x)g(x)]X → 5(c) lim[f(x)·g(x)]X → 5(g(x))(d) lim f(x)X → 5Here,\)

we use the following theorem:

If limf(x) = L and limg(x) = M, then\(lim[f(x) + g(x)] = limf(x) + limg(x) = L + Mlim[f(x)g(x)] = limf(x)·limg(x) = L·Mlim[f(x)/g(x)] = limf(x)/limg(x) = L/M\),

provided that M ≠ 0. limf(x)/g(x) does not exist if M = 0.Part (a)lim[f(x) + g(x)]X → 5= limf(x) + limg(x) (using the above theorem)= 6 + (-2)= 4The limit of [f(x) + g(x)] as X approaches 5 is 4.Part (b)lim[f(x)g(x)]X → 5= limf(x)·limg(x) (using the above theorem)= 6 · (-2)= -12The limit of [f(x)g(x)] as X approaches 5 is -12.Part (c)lim[f(x)·g(x)]X → 5= limf(x)·limg(x) (using the above theorem)= 6 · (-2)= -12The limit of [f(x)·g(x)] as X approaches 5 is -12.Part (d)limf(x)X → 5

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FALSE. Symmetric algorithms support confidentiality, but they do not inherently support authentication and non-repudiation.

Symmetric algorithms are encryption algorithms that use the same key for both encryption and decryption. Their primary purpose is to ensure confidentiality by keeping data secure from unauthorized access. However, symmetric algorithms do not provide built-in mechanisms for authentication and non-repudiation.

Authentication involves verifying the identity of a communicating party to ensure that the message comes from a trusted source. Non-repudiation, on the other hand, ensures that the sender cannot deny sending a message.

To achieve authentication and non-repudiation, additional mechanisms such as digital signatures and asymmetric encryption algorithms are typically used. Asymmetric algorithms, also known as public-key algorithms, employ a pair of keys (public and private) for encryption and decryption, enabling authentication and non-repudiation.

So, while symmetric algorithms can provide confidentiality, they do not directly support authentication and non-repudiation without the use of additional mechanisms.

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The process of adding the matrix is explained blow.

Matrices are powerful tools used to analyze data and solve complex equations.

A 3x3 matrix, or E₁₃, is a matrix composed of 3 rows and 3 columns. It can be used to perform various operations, including adding two rows together.

(a) To answer the first question, a 3x3 matrix E₁₃ can add row 3 to row 1 by performing a row operation. This involves taking the second row and adding it to the first, thus adding the values on each row together.

(b) To answer the second question, a 3x3 matrix E₁₃ can add row 1 to row 3 and at the same time add row 3 to row 1 by performing a row exchange operation. This results in a 3x3 matrix where each value in the first row is equal to the corresponding value in the third row.

(c) To answer the third question, a 3x3 matrix E₁₃ can add row 1 to row 3 and then add row 3 to row 1 by performing two separate row operation and then taking the third row and adding it to the first, thus adding the values of each row together again.

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The cost of the Orient Express ticket in U.S. dollars is approximately $2,805.

Given:

1 U.S. dollar = 0.82 GBP

Ticket price = 2.3 thousand GBP

To convert GBP to USD, we can set up a dimensional analysis using the conversion factor:

(2.3 thousand GBP) × (1 U.S. dollar / 0.82 GBP)

First, let's convert 2.3 thousand GBP to GBP by removing the "thousand" notation:

2.3 thousand GBP = 2,300 GBP

Now, let's set up the dimensional analysis equation:

(2,300 GBP) × (1 U.S. dollar / 0.82 GBP)

(2,300 / 0.82) U.S. dollars

Dividing 2,300 by 0.82:

2,804.88 U.S. dollars

Rounding this amount to the nearest whole dollar:

2,805 U.S. dollars

Therefore, the cost of the Orient Express ticket in U.S. dollars is approximately $2,805.

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The greatest amount of sap collected from any one tree is two times.

The maximum amount of sap that can be gathered from a single tree is two times greater than the minimum amount. SAP enables businesses to innovate on anything from cancer therapies to flood mitigation. We support life-saving research and are deeply committed to social responsibility and sustainability. At SAP, we collaborate to create innovations.

Work in a stimulating and rewarding environment by joining us. Minerals and nutrients can be found in tree sap. In the spring, when new buds are growing, a sticky substance that travels through the tree and out onto the branches helps the tree produce energy. Sugars are created as a result of photosynthesis and sent back into the tree, where they serve as sustenance for the tree's growth.

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Correct Question:

The greatest amount of sap collected from any one tree is _____________

B

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

Answer:

It is A and D

Step-by-step explanation:

65% of 20 is also

.65 * 20 or

65/100 * 20

I did Khan Academy too :)

Answer:

see explanation

Step-by-step explanation:

let the number be n , then 3 less than one- fifth of the number is

\(\frac{1}{5}\) n - 3 = 28 ← equation representing the sentence

to find the number

add 3 to both sides

\(\frac{1}{5}\) n = 31 ( multiply both sides by 5 to clear the fraction )

n = 5 × 31 = 155

Using the mean of the data-set, it is found that the missing height in the stem-and-leaf plot is given by:

D. 65 in.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

In this problem, following the key of the stem-and-left plot, there are 8 observations, given as follows:

54, 55, 56, 61, 63, 64, 70 and the missing value x.

The mean is of 61, hence:

\(61 = \frac{54 + 55 + 56 + 61 + 63 + 64 + 70 + x}{8}\)

423 + x = 61 x 8

x = 65.

Hence option D is correct.

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Answer:

A  gallons and a half a minute

Step-by-step explanation:

9 minutes it fills up a gallons and a half

Answer:

The range is 12, 0, -6

Explanation:

Given the function:

f(x) = 4 - 2x

We want to find the range of this function, given that the domain is:

-4, 0, 5

This can be done by replacing x by each element ot the domain in the given function, find f(x).

For element -4

f(-4) = 4 - 2(-4)

= 4 + 8

= 12

For element 0

f(0) = 4 - 2(0)

= 4 - 0

= 0

For element 5

f(5) = 4 - 2(5)

= 4 - 10

= -6

The range is 12, 0, -6

Answer:

3.25 days

Step-by-step explanation:

Irri is traveling in a group of 8 cat warriors. Each cat needs 4 liters of milk per day to maintain good morale.

The total number of liters for the cat is calculated as:

8 × 4 liters of milk

= 32 liters of milk.

Another cat has enough milk to last for 2days.

= 4 liters of milk × 2 days

= 8 liters

Mirri has a supply of 96 liters of milk.

Total liters of milk = 96 liters + 8 liters

= 104 liters

Which equation can we use to find the total number of days the milk will last?

This is calculated as:

= 104 liters/32 liters

= 3.25 days

Answer:

Mark me as brain list plz for fun I need to get my expert rank

Step-by-step explanation:

There is no attachment to see any grams post then I will answer

Given that:

James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3.

Step-by-step explanation:

Let the Zach's age be Z years.

6 times older than Zach = 6Z

Zach added 8 to his age and multiplied this sum by 3 = 3(Z+8)

Now,

\(6Z=3(Z+8)\)

\(6Z=3Z+24\)

\(6Z-3Z=24\)

\(3Z=24\)

Divide both sides by 3.

\(Z=\dfrac{24}{3}\)

\(Z=8\)

Therefore, the required equation is \(6Z=3(Z+8)\) and Zach's age is 8 years.

Answer: 20

Step-by-step explanation:

Answer:

the answer is twenty. like the guy before me said

Classroom objects can be categorized as vertical or horizontal. Examples of vertical objects include doors, bookshelves, and clocks, while horizontal objects include desks, tables, and chairs.

In a classroom, there are many objects that are vertical and horizontal. Here are ten examples of each:

Vertical objects in a classroom:

1. Door                     6. Clock

2. Cabinet               7. Electrical outlets

3. Bookshelf            8. Light switches

4. Whiteboard         9. Window blinds

5. Flagpole             10. Bulletin board

Horizontal objects in a classroom:

1. Desks                  6. Keyboard trays

2. Chairs                 7. Carpet tiles

3. Tables                 8. Ceiling tiles

4. Countertops       9. Whiteboard markers

5. Shelves              10. Paper trays

These are just a few examples of vertical and horizontal objects that can be found in a classroom.

It is important to recognize the different shapes and orientations of objects in our environment, as they can affect the way we perceive and interact with them.

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Answer:

a,d,b,c

Step-by-step explanation:

The graph is attached below, in which all points are shown.

Two intersecting straight lines used as reference lines in plane know as coordinate axes.

A coordinate point (a, b) represent 'a' as x - coordinate and 'b' as y- coordinate.

Given points are,  \((3,9),(9,3),(6,5),(5,6)\)

All points shown in the attached graph below.

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Answer:

C

Step-by-step explanation:

So they bought 2 sneakers. A pair of sneakers cost $6.49. Multiply that by 2, and you get $12.98.

Then they bought a pair of flip flops. So one pair is $0.99. Add that to the $12.98 you got and now you have $13.97.

They also got a pair of flats. One pair is $7.19, so add that to your $13.97 and you now have $21.16.

They also have to pay $1.75 tax, meaning you add that to the $21.16 you have which makes $22.91 total.

But they said how much change they would get from $30 so we're not done yet. So subtract $22.91 from $30 and your answer will be $7.09 which is C.

Answer:

Vat amount = Rs 2340

Mp = Rs 22500

From the proof below, the reason why ΔMKO ≅ ΔMLO is; SAS Congruency Postulate

From the triangle construction, we can see that;

MN bisects ∠KML

Thus;

∠KMO ≅ ∠LMO

Similarly, since KM, ML and KL were drawn with length AB, then it means that; KM ≅ ML ≅ KL

Similarly, MO ≅ MO by reflexive property of congruence

Thus, we conclude that ΔMKO ≅ ΔMLO by SAS Congruency Postulate

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