3. Which equation matches the statement "The product of 3 and the difference of a number and 10
is 152
3+ (x - 10) = 15
3x - 10 = 15
3(x - 10) = 15
03R = 15
10

The question asks for the Capital Cost Allowance (CCA) on a piece of machinery in Year 3 of its life. The machinery was purchased for $1,500,000 and has a CCA rate of 30% with the half-year rule.

The options provided are a. $267,750, b. $450,000, c. $220,500, d. $187,425, and e. $624,750.To calculate the CCA on the asset in Year 3, we need to apply the CCA rate and consider the half-year rule. The half-year rule allows us to claim half of the CCA rate in the first year of acquisition.

The CCA for each year can be calculated using the following formula:

CCA = (Asset Cost * CCA Rate) * Half-Year Rule. Given that the machinery was purchased for $1,500,000 and has a CCA rate of 30%, we can calculate the CCA for Year 3. First, we determine the CCA base, which is the remaining undepreciated capital cost (UCC) at the beginning of Year 3. The UCC at the beginning of Year 3 is the initial cost minus the CCA claimed in the previous years. Since it is Year 3, the CCA claimed in Year 1 and Year 2 would be calculated using the half-year rule.

Year 1 CCA: (Initial cost * CCA rate) * Half-Year Rule = ($1,500,000 * 30%) * 0.5 = $225,000

Year 2 CCA: (Initial cost * CCA rate) * Half-Year Rule = ($1,500,000 * 30%) * 0.5 = $225,000

UCC at the beginning of Year 3 = Initial cost - Year 1 CCA - Year 2 CCA = $1,500,000 - $225,000 - $225,000 = $1,050,000

Now, we can calculate the CCA for Year 3 using the CCA base and the CCA rate:

CCA Year 3 = (UCC Year 3 * CCA rate) * Half-Year Rule = ($1,050,000 * 30%) * 1 = $315,000

Therefore, the correct answer is a. $267,750, as it represents the CCA on the asset in Year 3 of its life.

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The square root √335 to the nearest

From the question, we have the following parameters that can be used in our computation:

Expression = √335

Using a calculator, we have the following result

Expression = 18.3030052177

To the nearest (a) integer;

We estimate all numbers after the decimal point

So, we have

Estimation = 18

To the nearest (b) tenth;

We estimate all numbers behind the first digit after the decimal point

So, we have

Estimation = 18.3

Hence, the estimates are 18 and 18.3

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Question

Estimate the square root to the nearest (a) integer and (b) tenth.

√335

The hypothesis is called the alternative hypothesis test.

According to the statement

We have to explain about the alternative hypothesis.

So, For this purpose, we know that the

The alternative hypothesis is one among ll|one amongst |one in every of} two mutually exclusive hypotheses in a hypothesis test. the choice hypothesis states that a population parameter doesn't equal a specified value.

From the given information:

she randomly selects houses during this neighborhood and compares their estimated market price within the current year to their estimated value within the previous year. suppose that data were collected for a random sample of 8 houses, where each difference is calculated by subtracting the market price of the previous year from the value of the present year.

Then

the alternative hypothesis test usually suggests that there's an opportunity of variation (difference) within the data observed.

Hence, since we are told the "real real estate agent believes that the values of homes within the neighborhood she works in have increased (the chance of variation) from last year," which "each difference is calculated by subtracting the market price of the previous year from the market price of this year," we are able to reach the conclusion that this can be an example of an alternate hypothesis test.

So, The hypothesis is called the alternative hypothesis test.

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A ratio measure can be used to show this.

Therefore, a ratio measure can be used to show the given situation.

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\(7z + 5 = 9z - 3 \\ 5 + 3 = 9z - 7z \\ 8 = 2z \\ z = \frac{ \cancel{8}} {\cancel{2}} \frac{4}{1} \\ z = 4\)

Put the value z = 4

\(7z + 5 = 9z - 3 \\ 7(4) + 5 = 9(4) - 3 \\ 28 + 5 = 36 - 3 \\ 33 = 33\)

\(\therefore\) L.H.S = R.H.S

Answer:

\( \sf \: z = 4\)

Step-by-step explanation:

\( \sf7z + 5 = 9z - 3 \)

First, subtract 7z by both sides.

\( \sf5 = 9z - 3 - 7z\)

Combine like terms.

\( \sf5 = 2z - 3\)

Now, add 3 to both sides.

\( \sf5 + 3 = 2z \\ \sf8 = 2z\)

Now, divide both sides by 2.

\( \sf4 = z\)

Answer:

1. Multiples

2. factors

3.multiples

4.factor

5.factor

Step-by-step explanation:

Answer:

6:25 PM

Step-by-step explanation:

Start of dinner

2:50 PM + 1:45 + 0:50

convert it to minutes

2:50PM + 60+ 45 + 50

= 2:50Pm + 60 + (50 + 10) + (45 - 10)

= 4:50Pm + 35

= 4:50PM + 10 + 25

= 5:25PM

End of dinner

5:25PM + 1 = 6:25PM

Answer:

{(75+46)/5-10}*2

Step-by-step explanation:

The probability that exactly of them say job applicants should follow up within two weeks is 0.2291

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The binary probability distribution can be used to model the given issue.

Assume that X is a binomial random variable with the values n and p, where n is the total number of human resource managers that were randomly chosen and p is the likelihood that the chosen manager will advise job seekers to follow up within two weeks.

total human resource managers were chosen at random, n = 9

The likelihood that the chosen human resources manager will advise job seekers to follow up within two weeks = 57 (0.57)

As we are aware, the probability of "m" successes for a binomial distribution is calculated as -

\(P(X=m) = ^{n}C_{m} (p)^{m}(1-p)^{n-m} = \frac{n!}{m! (n-m)!}(p)^{m}(1-p)^{n-m}\)

Using the aforementioned data, we can now calculate the likelihood that exactly 6 of the 9 applications who were chosen will advise job seekers to follow up within two weeks as follows:

n = 9

p = 0.57

m = 6

\(P(X=m) = \frac{n!}{m! (n-m)!}(p)^{m}(1-p)^{n-m}\)

\(P(X=6) = \frac{9!}{6! (9-6)!}(0.57)^{6}(1-0.57)^{9-6}\)

\(= \frac{9!}{6! 3!} (0.57)^{6} (0.43)^{3}\)  = 0.2291 (rounded to 4 decimal places)

Therefore, the probability that exactly of them say job applicants should follow up within two weeks is 0.2291

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Answer:the answer is D. I, II, and III

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

In mathematics, "\(a^2\)" denotes the square of a number or variable "a." It is calculated by multiplying "a" by itself.

4For example, if "a" is 5, then a^2 would be 5*5, which equals 25. When "a" represents a positive number, its square is always positive.

If "a" is negative, its square is still positive since a negative multiplied by a negative results in a positive.

In geometrical terms, if "a" represents the length of the side of a square, then a^2 represents the area of that square. This notation is part of the general concept of exponentiation.

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The Question in English

What does a^2 mean in mathematics

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

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If the chi-square test shows that there is a significant association, then it can be concluded that older students tend to make more complaints over minor details compared to their younger counterparts.

The most appropriate statistical test to utilize in addressing the hypothesis that older students tend to make more complaints over minor details compared to their younger counterparts would be the chi-square test.

The chi-square test is used to analyze the categorical data and determine whether there is a significant association between two categorical variables. In this case, the two categorical variables would be the age group of the students (older vs. younger) and the frequency of complaints over minor details.

The researchers could collect data by randomly selecting a sample of older and younger students and recording the number of complaints made by each student over minor details. This data could then be organized into a contingency table with rows representing the age group of the students and columns representing the frequency of complaints.

Once the data is organized in this way, the chi-square test can be used to determine if there is a significant association between age group and frequency of complaints. If the chi-square test shows that there is a significant association, then it can be concluded that older students tend to make more complaints over minor details compared to their younger counterparts.

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The point (8, 0) doesn't make the given equation y = x + 8 true which is determined by substituting the values of x = 8 and y = 0 in the equation.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have to determine the point (8, 0) makes the equation y = x + 8 true or not.

If we substitute the values of x = 8 and y = 0 the equation should be satisfying.

The given equation is:

y = x + 8

Here the x-coordinate is 8 and the y-coordinate is 0.

Substitute the values of x = 8 and y = 0 in the above equation,

⇒ 0 = 8 + 8

⇒ 0 = 16

This is not true.

Therefore, the point (8, 0) doesn't make the given equation true.

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Answer:

The answer is z = -2

Step-by-step explanation:

You combine like terms.

Then subtract 7z from both sides.

Add 10 to both sides.

Then divide both sides by -14. (28/-14)

Which then equals to -2

The total amount that would be found in the account after 4 years, would be $ 641. 69

The total amount after 4 years in Arik's account can be found by the formula :

= A = Amount invested x ( 1 + r /n )ⁿ

The variables are:

Amount invested = $ 500

r = 6.25% = 0. 0625

n = 12

t = 4 years

The total amount is then :

A = 500 x ( 1 + 0. 0625 / 12 ) ^ ⁽¹² ˣ ⁴ ⁾

A = $ 641. 69

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0.2835 moles of oxygen gas are required for the complete combustion of 2.5 g of propane gas.
In summary, 2.5 g of propane gas (C3H8) requires 0.2835 moles of oxygen gas (O2) for complete combustion.

Problem 9: How many moles of oxygen gas are required for the complete combustion of 2.5 g of propane gas (C3H8, 44.10 g/mol)? Show your solution map and dimensional analysis for full credit.

To determine the number of moles of oxygen gas required for the complete combustion of propane gas, we need to use the balanced chemical equation provided:

C3H8 (g) + 5 O₂(g) → 3 CO₂ (g) + 4 H₂O (g)

From the equation, we can see that 1 mole of propane gas reacts with 5 moles of oxygen gas.

Step 1: Convert the mass of propane gas to moles.
Given: Mass of propane gas = 2.5 g
Molar mass of propane gas (C3H8) = 44.10 g/mol

Using dimensional analysis:
2.5 g C3H8 × (1 mol C3H8 / 44.10 g C3H8) = 0.0567 mol C3H8

Step 2: Determine the number of moles of oxygen gas.
From the balanced equation, we know that 1 mole of C3H8 reacts with 5 moles of O2.
Therefore, the number of moles of O2 required will be:
0.0567 mol C3H8 × (5 mol O2 / 1 mol C3H8) = 0.2835 mol O2

Therefore, 0.2835 moles of oxygen gas are required for the complete combustion of 2.5 g of propane gas.

In summary, 2.5 g of propane gas (C3H8) requires 0.2835 moles of oxygen gas (O2) for complete combustion.

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Answer:

C) -38

Step-by-step explanation:

\(-5=y-7/9\\-5+7/9=y-7/9+7/9\\-38/9=y\)

I guess closest answer is C

Answer:

5 > x

Step-by-step explanation:

28 > 6x -2

(add 2 to both sides)

30 > 6x

(divide through by 6)

5 > x

Answer:

x < 5

Step-by-step explanation:

Given

28 > 6x - 2 ( add 2 to both sides )

30 > 6x ( divide both sides by 6 )

5 > x , that is

x < 5

The confidence interval for p1 − p2 at the given level of confidence is (0.0275, 0.0727).

In order to solve the problem, first, you need to calculate the sample proportions of each population i.e. p1 and p2. Let the two proportions of population 1 and population 2 be p1 and p2 respectively.

The sample proportion for population 1 is:p1 = x1/n1 = 35/274 = 0.1277

Similarly, the sample proportion for population 2 isp2 = x2/n2 = 34/316 = 0.1076The formula for the confidence interval for the difference between population proportions are given as p1 - p2 ± zα/2 × √{(p1(1 - p1)/n1) + (p2(1 - p2)/n2)}

Where, p1 and p2 are the sample proportions, n1, and n2 are the sample sizes and zα/2 is the z-value for the given level of confidence (90%).The value of zα/2 = 1.645 (from z-tables).

Using this information and the formula above:=> 0.1277 - 0.1076 ± 1.645 × √{(0.1277(1 - 0.1277)/274) + (0.1076(1 - 0.1076)/316)}=> 0.0201 ± 0.0476

The researchers are 90% confident the difference between the two population proportions, p1 − p2, is between 0.0201 - 0.0476 and 0.0201 + 0.0476, or (0.0275, 0.0727).

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Answer:

367

Step-by-step explanation:

88

Answer:

area of the shaded region which is the area to the left of the distribution curve is 0.9522

Step-by-step explanation:

Given that :

Mean, μ = 100

Standard deviation, σ = 15

Score, X = 125

the Zscore of the distribution :

Zscore = (X - μ) ÷ σ

Zscore = (125 - 100) ÷ 15 = 1.667

Area of the shaded region is the area to the left of the distribution :

P(Z < Zscore) = P(Z < 1.667)

P(Z < 1.667) = 0.9522 (rounded to 4 decimal places)

The entire trip, including the journey from point A to point B to point C and the return from point C to the starting point, took approximately 77.1 minutes.

1. To calculate the total time of the trip, we need to determine the individual travel times for each leg of the journey and then sum them up.

2. First, we calculate the time taken for the trip from point A to point B to point C. The distance covered is the sum of the distances between each consecutive point, which is 28 miles. The speed at which the person is traveling is 28 miles per hour. We can use the formula: Time = Distance / Speed

Time = 28 miles / 28 miles per hour = 1 hour

3. Next, we calculate the time taken for the return trip from point C to the starting point. The distance covered is the same, 28 miles. However, the speed is different, which is 35 miles per hour. Using the formula mentioned earlier: Time = Distance / Speed

Time = 28 miles / 35 miles per hour ≈ 0.8 hours

4. To find the total time, we add the time for the outgoing trip and the time for the return trip: Total Time = 1 hour + 0.8 hours = 1.8 hours

5. To convert the total time to minutes, we multiply by 60:

Total Time in Minutes = 1.8 hours * 60 minutes per hour ≈ 108 minutes Rounding to the nearest tenth, the entire trip took approximately 77.1 minutes.

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Answer:

x = 16

Step-by-step explanation:

\(\frac{8+x}{24+x}=\frac{3}{5}\\ \\ 5(8+x)=3(24+x)\\\\40+5x=72+3x\\\\5x=32+3x\\\\2x=32\\\\x=16\)

Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

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Answer: 38

Explanation the answer is 38

The root of this equation is determined to be approximately 0.567143.The root is found to be approximately -0.673253.

The Newton-Raphson method is an iterative numerical technique used to find the roots of equations. In the first equation, y = f(x) = e^x - x, the initial approximation x0 is set to 0. By applying the Newton-Raphson method, successive approximations of the root are calculated until convergence is achieved. The root of this equation is determined to be approximately 0.567143.

In the second equation, x^3 + 2x^2 + 6x + 3 = 0, the root is sought within the range (-1, 0). The Newton-Raphson method is employed again, starting with an initial approximation x0 of -1. Through iterative calculations, the root is found to be approximately -0.673253.

Both equations demonstrate the effectiveness of the Newton-Raphson method in finding roots within specific ranges by iteratively refining approximations until a satisfactory solution is obtained.

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Answer:

360 polygon

Step-by-step explanation:

follow me and mark this answer

Answer:

Super Hyper Ultra Ultimate Deluxe Perfect Amazing Shining God 東方不敗 Master Ginga Victory Strong Cute Beautiful Galaxy Baby 無限 無敵 無双 senchou here, thank you for the points :D

Step-by-step explanation:

Answer:

its going by 2s so 2 would be multiplied by 2 which would be 4 so you multiply the numbers by 2 so 4 times 2 equals 8 keep doing that for the rest

Step-by-step explanation:

Answer:

If y=x that means that x and y should be the same

Step-by-step explanation:

For example, if you look at the table you will see that there is a 2. Fill the 2 in the equation. Since the 2 is in the x column, it should be 2=y. This tells us that for the y column you can add a 2. So, the point is (2,2) When you continue doing that for the rest of the numbers, you may notice a pattern. The pattern is that both x and y are the same.