The hypotenuse of a right triangle measures 17 cm and one of its legs measures 11 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.

The trend projection for time period 18 is 197.6. The correct option is B

A mathematical equation used to represent the trend or pattern seen in a time series of data is called a linear trend expression, sometimes referred to as a linear trend model.

To find the trend projection for time period 18 using the given linear trend expression, we substitute t = 18 into the equation:

Yt = 129.2 + 3.8t

Y18 = 129.2 + 3.8 * 18

Y18 = 129.2 + 68.4

Y18 = 197.6

Therefore, the trend projection for time period 18 is 197.6.

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False.

Data reduction techniques can be applied to both rows (observations) and columns (variables) in a given dataset. Data reduction techniques like Principal Component Analysis (PCA) and Factor Analysis are applied to variables in order to reduce the number of variables and extract relevant information from them. These techniques aim to identify underlying factors or components that explain the variance in the data and represent them in a lower-dimensional space. Similarly, techniques like clustering and outlier detection can be applied to observations in order to group similar observations together or identify outliers.

Therefore, data reduction can be applied to both rows and columns, depending on the analysis goals and data characteristics.

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Answer: B,D

Step-by-step explanation:

seventeen dollarsStep-by-step explanation:

Answer: 17 i think

brainliest????

Step-by-step explanation:

a) Activity that should be crashed first to reduce the project duration by 1 day is B.

b) Activity that should be crashed next to reduce the project duration by one additional day is C.

c) Total cost of crashing the project by 2 days = $10,000.

To determine the activities that should be crashed first and next, we need to consider the critical path method (CPM). The critical path is the longest sequence of activities that determines the total project duration. Crashing activities on the critical path will reduce the project duration.

Let's calculate the project duration and costs for each activity:

Activity A:

Normal Time: 7 days

Crash Time: 6 days

Normal Cost: $5000

Total Cost with Crashing: $5600

Activity B:

Normal Time: 4 days

Crash Time: 2 days

Normal Cost: $1500

Total Cost with Crashing: $3400

Immediate Predecessor(s): A

Activity C:

Normal Time: 11 days

Crash Time: 9 days

Normal Cost: $4200

Total Cost with Crashing: $6600

Immediate Predecessor(s): B

To find the critical path, we add the normal times of each activity:

Critical Path: A -> B -> C

a) Activity that should be crashed first to reduce the project duration by 1 day:

Since the critical path includes activities A, B, and C, we need to identify which activity's crash time can reduce the project duration by 1 day. The activity that can achieve this is B since its crash time is 2 days compared to activity A's crash time of 6 days. Therefore, activity B should be crashed first.

b) Activity that should be crashed next to reduce the project duration by one additional day:

After crashing activity B, the project duration will be reduced by 1 day. To further reduce the duration by an additional day, we need to determine which activity's crash time can achieve this. The activity that can achieve this is C since its crash time is 9 days compared to activity A's crash time of 6 days. Therefore, activity C should be crashed next.

c) Total cost of crashing the project by 2 days:

The total cost of crashing the project by 2 days is the sum of the total costs for the crashed activities:

Total cost of crashing = Total cost of crashing activity B + Total cost of crashing activity C

                   = $3400 + $6600

                   = $10,000

Therefore, the total cost of crashing the project by 2 days is $10,000.

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Complete Question:

Three activities are candidates for crashing on a project network for a large computer installation (all are, of course, critical). Activity details are in the following table.

a) Activity that should be crashed first to reduce the project duration by 1 day is

b) Activity that should be crashed next to reduce the project duration by one additional day is

c) Total cost of crashing the project by 2 days =

To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

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The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

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Answer:

B. 6x²-7x-20

Step-by-step explanation:

(2x-5)(3x+4)

2x(3x+4)-5(3x+4)

Use distributive property.

6x²+8x-15x-20

Combine like terms.

6x²-7x-20

Hope this helps!

Please mark as brainliest if correct!

Answer: x = 6

Step-by-step explanation:

1. Distribute

2. Subtract 4 from both sides of the equation

3. Simplify

4. Subtract 2x from both sides of the equation

5. Simplify

6. Divide both sides of the equation by the same term

7. Simplify

Hello, the answer would be X = 6

(I will go from top to bottom)
Expression 1 : 28
Expression 2 : 10 5/6
Expression 3 : 14 2/3
Expression 4 : 20 1/4

I think you can do the calculations right :) Hope this helps.

Answer:

7

Step-by-step explanation:

Answer:

x/8=10

Step-by-step explanation:

Let's simplify the expression step by step: Expand the squared term:

(x - 3y)² = (x - 3y)(x - 3y) = x² - 6xy + 9y²

Expand the second term:

3(x + y)(x − 4y) = 3(x² - 4xy + xy - 4y²) = 3(x² - 3xy - 4y²)

Expand the third term:

x(3x + 4y + 3) = 3x² + 4xy + 3x

Now, let's combine all the expanded terms:

(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)

= x² - 6xy + 9y² + 3(x² - 3xy - 4y²) + 3x² + 4xy + 3x

Combining like terms:

= x² + 3x² + 3x² - 6xy - 3xy + 4xy + 9y² - 4y² + 3x

= 7x² - 5xy + 5y² + 3x

The simplified form of the expression is 7x² - 5xy + 5y² + 3x.

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The given statement "Zeros are also called roots, x-intercepts, and solutions" is true.

Zeros, roots, x-intercepts and solutions are all the same and interchangeable terms. These terms are used to describe the value of x for which a function's value is 0. Zeros of a function are called roots because they are solutions to the equation f(x) = 0.

They are called x-intercepts because the x-axis is the line where the value of y is 0, and so the zeros occur at the points where the graph intersects the x-axis. Finally, they are called solutions because finding the zeros of a function is equivalent to solving the equation f(x) = 0. In conclusion, all these terms are synonymous with each other, meaning that they refer to the same thing, the value(s) of x for which the function's value is zero.

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Answer:

230

The 72nd term in the following arithmetic sequence is 230.

Step-by-step explanation:

Formula: an = a1 +(n−1)d

a1=17

n=72

d=3

a72=17+(72-1)3

Simplify.

a72=17+(71)3

a72=17+213

a72=230

The 72nd term in the following arithmetic sequence is 230.

Hope this helps!

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Answer:

Step-by-step explanation:

ans;

240

hope it helps

it's the correct answer you can cross check

The probabilities are given as follows:

a) Even number: 5/9.

b) Number greater than five: 1/3.

A probability is the division of the number of desired outcomes by the number of total outcomes.

Given that each person draws one card from a set of three, hence the total number of outcomes is given as follows:

3² = 9.

Using the Fundamental Counting Principle,

The nine outcomes are given as follows:

1 x 1 = 1.

1 x 2 = 2.

1 x 3 = 3.

2 x 1 = 2.

2 x 2 = 4.

2 x 3 = 6.

3 x 1 = 3.

3 x 2 = 6.

3 x 3 = 9.

There are five outcomes that end with an even number, hence the probability is of:

p = 5/9.

There are three outcomes ending with a number greater than five, hence the probability is of:

p = 3/9 = 1/3.

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Time-series Plot graph is the best choice for determining the change in the stock market over time.

The term stock exchange refers to several exchanges where shares of publicly traded companies are bought and sold. Such financial activities are conducted through formal stock exchanges and over-the-counter (OTC) markets that operate under a specific set of regulations.

Other major stock exchanges in the world are Tokyo Stock Exchange (Japan), Shanghai Stock Exchange (China) and London Stock Exchange (UK). Stock exchanges are considered capital markets as they provide long-term financing for companies.

A time series chart, also known as a time series chart or time series graph, is a data visualization tool that plots data points at successive time intervals. Each point on the chart corresponds to both time and quantity being measured.

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Answer: x< -30

Step-by-step explanation:

Answer:

correct

Step-by-step explanation:

he is correct because the transformation is a translation and under the translation the image and preimage are congruent.

the measure of the sides are preserved, and the peasure of the angles are preserved so if all the corsponding sides and angles are congruent the hexagons are congruent too

Answer:

(x, y) -----> ( - x , y - 10 )

Step-by-step explanation:

Titus is not correct.

There are two transformations will correctly prove FEDCBA ≅ F'E'D'C'B'A'

First transformation is Reflection over y-axis , then translation 10 units down.

The final formula is ( - x , y - 10 )

Answer:

35/-7

Step-by-step explanation:

you want to do the second y- the first y over the second X- the first x to GRT the slope

Answer:

35/-7

Step-by-step explanation:

To calculate slope, you use the slope formula: y2 - y1

                                                                              x2 - x1

So 36.5 - 1.5      

    -5 - 2            

And that equals 35/-7                                                          

The measure of angle h is  19° angle measure of angle c is 132°

In this question, we need to find the value of h and c.

We can observe that the opposite angle to angle (h + g) measures 48 degrees.

So, angle (h + g) = 48°                ..........(1)

We know that sum of linear angles is 180°

So, 151° + e = 180°

e = 180 - 151

e = 29°

As angle d and angle e are opposite angles, angle d = 29°

Consider given parallel lines and a transversal passing through points a and f

then angle g and angle d are alternate interior angles.

So, angle g = angle d = 29°

from (1),

∠h + ∠g = 48°

∠h = 48° - 29°

∠h = 19°

Consider a triangle with angles h, c and d.

∠h + ∠c + ∠d = 180°

19° + ∠c + 29° = 180°

∠c = 180° - (19 + 29)°

∠c = 132°

Therefore, the measure of angle h is  19° angle measure of angle c is 132°

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There are many more people awaiting such a transplant than there are available organs, leading to a large backlog of patients who are not able to receive an organ transplant.

In 2008, the United States Department of Health and Human Services reported that there were approximately 113,000 patients in the United States awaiting organ transplants. Of those, only 28,535 received an organ transplant that year. This is a ratio of approximately 1 in 4. This can be expressed mathematically as 28,535/113,000 = 0.25, or one fourth. This means that for every 4 people awaiting an organ transplant in the United States in 2008, only 1 actually received one. While organ transplants are a life-saving procedure for many, the reality is that there are many more people awaiting such a transplant than there are available organs, leading to a large backlog of patients who are not able to receive an organ transplant.

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Complete question:What were the numbers of patients waiting for and receiving an organ transplant/donation in the United States in 2008, according to Mark Cherry?

the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.

Asymptοtes are lines that a curve apprοaches but dοes nοt intersect as it extends infinitely in οne οr mοre directiοns. They can be vertical, hοrizοntal, οr οblique.

Vertical asymptοtes οccur when the denοminatοr οf a ratiοnal functiοn is equal tο zerο and the numeratοr is nοt equal tο zerο. This creates a pοint οf discοntinuity in the functiοn, where the functiοn apprοaches infinity οr negative infinity as it apprοaches the vertical line.

The functiοn y = 5tan(0.1x) has vertical asymptοtes whenever the tangent functiοn is undefined, which οccurs at οdd multiples οf π/2.

the vertical asymptοtes οf y = 5tan(0.1x) are given by:

x = (2n+1)π/2*10, where n is an integer.

Fοr Explοratiοn 4.3.3, Questiοn 2, the given functiοn is:

\(y = (x^2 - 5x + 6)/(x^2 - 9)\)

Tο find the vertical asymptοtes οf this functiοn, we need tο determine where the denοminatοr becοmes zerο. This οccurs at x = 3 and x = -3.

Therefοre, the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.

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Answer:

11.5 years

Step-by-step explanation:

Given data

Principal= $400

Rate= 6%

For the compound interest at time t, the expression is given as

A= P(1+r)^t

Substitute

A= 400(1+0.06)^t

A=400(1.06)^t

B. How much money is in Jennifer's account after 5 years

put t= 5

A=400(1.06)^5

A=400*1.338

A=$535.2

C. Approximately when will Jennifer have $800 in her account

A=$800

P=$400

r=6%

t= ln(A/P)/r

t= ln(800/400)/0.06

t= ln(2)/0.06

t= 0.6931/0.06

t=11.551

Hence the time is about 11.5 years

Answer:

Step-by-step explanation:

I have given answer. Hope this will help you.

Answer: d = 6

Step-by-step explanation:

x^2 + y^2 = r^2

So r = 3 and d will be 2 x r = 6

Answer:

your answer is 16.5

Step-by-step explanation:

First, turn 15% into a decimal; which is .15

Second, multiply .15 by 110 and you get 16.5

soooo your answer is 16.5

(use symbolab I use it all the time)

Approximately 6.25% of the average difference in wages can be attributed to differences in work experience.

Regression estimates the return to experience for men, denoted as 'b,' to be 0.25. To understand the portion of the average difference in wages attributable to differences in work experience, we need to consider the data for both men and women. Let's assume that the average difference in wages between men and women is denoted as 'D.'

The average difference in wages between men and women can be decomposed into two components: one due to differences in work experience and another due to factors other than work experience (such as discrimination, education, industry, etc.). Let's denote the portion attributable to differences in work experience as 'P.'

We can express the average difference in wages as follows:

D = P + Q

where P represents the portion attributable to differences in work experience, and Q represents the portion due to other factors.

Given that the regression estimates the return to experience for men (b) as 0.25, we can calculate P by multiplying the average difference in work experience between men and women (W) by 'b':

P = b * W

The portion attributable to differences in work experience can be expressed as a percentage of the average difference in wages (D):

P% = (P / D) * 100

Substituting the value of P from the equation above, we get:

P% = (b * W / D) * 100

In this case, since the value of b is given as 0.25, we can calculate the percentage as:

P% = (0.25 * W / D) * 100

Therefore, the estimated portion of the average difference in wages attributable to differences in work experience is 6.25% when b = 0.25.

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Answer:

x=9.3

Step-by-step explanation:

use SohCahToa

in this case u use cos

cos(41°)=7/x

x=7/cos(41)

x=9.275090953

x=9.3