Please solve with explanation

Q9.1: To justify the proposal, we need to compare the benefits of the road expansion (in terms of reduced travel time) with its costs. The value of time represents the monetary value individuals place on their time spent traveling. In this case, the value of time is $1.5 per minute.

First, let's calculate the reduction in travel time resulting from the road expansion. We compare the two road performance functions: t1​ = 30 + 6×10−6q and t2​ = 20 + 3×10−6q. By subtracting t2​ from t1​, we can determine the time savings: Δt = t1​ - t2​ = (30 + 6×10−6q) - (20 + 3×10−6q)    = 10 + 3×10−6q Next, we multiply the time savings by the number of trips (q) to obtain the total time savings: Total Time Savings = Δt × q = (10 + 3×10−6q) × q Now, we can determine the monetary value of the time savings by multiplying the total time savings by the value of time ($1.5 per minute): Monetary Value of Time Savings = Total Time Savings × Value of Time                             

= (10 + 3×10−6q) × q × $1.5  If the monetary value of the time savings exceeds the construction cost of $9.6×107, then the proposal is justified. Q9.2: To determine the construction cost at which the proposal becomes justified, we set the monetary value of the time savings equal to the construction cost and solve for q: (10 + 3×10−6q) × q × $1.5 = $9.6×107 By solving this equation for q, we can find the corresponding construction cost at which the proposal becomes justified.

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okay so since the area is 22cm^2 , you will need to simplify it.

Which you will get 22*22 and the total would be 484. Which u will divide by 4 ( Square) to get each of the side your looking for.

So your answer is... 121

The absolute value of x=5 is 5.

The absolute value of a number is its positive equivalent of the number

For instance, the absolute value of -5 is 5 and the absolute value of 5 is also 5.

Generally, it is denoted by the symbol |x|.

So, we have

The absolute value of x=5

This gives

x = |5|

Evaluate

x = 5

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Answer:

y=9; z=16

Step-by-step explanation:

Answer:

Step-by-step explanation:jol

Answer:

answer below

Step-by-step explanation:

∠3 = 76°

∠1 = ∠3 = 76°  (vertical angle)

∠2 = 180 - ∠1 = 180° - 76° = 104°  (supplementary adjacent angle)

∠4 = ∠2 = 104°   (vertical angle)

The number of men living in the village is 260.

A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:

                                           \(ax + by = c\)

Given:

Total inhabitants in the village: 817

Number of children: 241

There are 56 more women than men in the village

Total adults = Total inhabitants - Number of children

Total adults = 817 - 241

Total adults = 576

Let number of men in the village be 'x' and number of women in the village be 'y',

∴ y=x+56 (given) ..................(1)

Also, x+y=576 .................(2)

From equation (1) and (2),

x + (x + 56) = 576

2x + 56 = 576

2x = 576 - 56

2x = 520

x = 520 / 2

x = 260

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Two cars start moving from the same point, with one traveling south at 60 mi/h and the other traveling west at 25 mi/h. At what rate is the distance between the cars increasing three hours later? The relation between x, y, and z is given as: z = y² + x² ? +y. The first step is to find dz/dt.

To do this, differentiate both sides and simplify as follows: dz/dt = 2x (dx/dt) + 2y (dy/dt) + y (dz/dx) (dx/dt). Applying the Pythagorean theorem to the triangle in the figure, we have: x² + y² = z², which implies z = √(x² + y²). Differentiate both sides to get: d(z)/d(t) = d/d(t)[√(x² + y²)] = (1/2)(x² + y²)^(-1/2)(2x(dx/dt) + 2y(dy/dt)). Applying the chain rule gives us: d(z)/d(t) = (x(dx/dt) + y(dy/dt))/√(x² + y²).

The distance between the two cars at any time can be given by the Pythagorean theorem as follows: z = √(x² + y²)After 3 hours, we can substitute the given values into the formulas to obtain the required values as shown below: dx/dt = 0dy/dt = -60 miles per hour x = 25(3) = 75 miles y = 60(3) = 180 miles d(z)/d(t) = (x(dx/dt) + y(dy/dt))/√(x² + y²)d(z)/d(t) = (75(0) + 180(-60))/√(75² + 180²)d(z)/d(t) = -5400/18915d(z)/d(t) = -0.286 miles per hour.

Therefore, the distance between the cars is decreasing at a rate of 0.286 miles per hour after 3 hours.

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Answer:

Infinite

Step-by-step explanation:

ANY line segment can have INFINITE bisectors crossing it

Answer:

ok

Step-by-step explanation:

x:

X is adjacent to the 75 angle so x + 75 need to be 180.

180 - 75 = 105

x = 105

z:

Z is on opposite across outside corners from X so it will be the same thing.

z = 105

y:

Y is adjacent to Z so Y + Z must equal 180.

Z = 105

y + 105 = 180

y = 75

Answer:

yes

Step-by-step explanation:

5x4=20

3x4=12

they are equivalent as they are both being multiplied by the same number (4)

Answer:

They are equal

Step-by-step explanation:

Think of a ratio of two numbers like a fraction.  3:5 is like 3/5.

 Ratios may be reduced like fractions may be reduced.  So, is 3/5 = 12/20

3/5 = 0.6

12/20 = 0.6

Answer:

$147.46

Step-by-step explanation:

CP= x

SP= x+ 50%= 1.5x

1.5x- 4%= 230.40

1.5x*0.96= 230.4

x= 230.4/1.5*0.96

x= 147.456 ≈ $147.46

After turning the edges of the sheet, the dimensions will be x and 10 - 2x, so the cross-sectional area will be:

In order to maximize this area, let's find the x-coordinate of the vertex, using the formula:

Where a and b are coefficients of the quadratic function in the standard form:

So the depth of the gutter is 2.5 inches.

And the maximum cross-sectional area is:

Answer: it’s correct

Step-by-step explanation:

Answer:

The maximum and minimum temperatures recorded by the thermometer when checked by Wednesday morning are 5°C and -5°C

Step-by-step explanation:

The given parameters are;

A maximum and minimum thermometer is used which records maximum and minimum values as follows;

Initial temperature on Sunday at the time of resetting the thermometer = 4°C

Temperature drop overnight = 5°C, new low = 4 - 5 =  -1°C,

Temperature rise on Monday = 6°C. New high = -1 + 6 = 5°C

Temperature drop on Monday night = 10°C. New low = 5 - 10 = -5°C

Temperature rise on Tuesday = 4°C = New high = 4 + - 5 = -1°C

Temperature drop on Tuesday night = 2°C. New low = -1 - 2 = -3°C

Therefore, the maximum and minimum temperatures recorded by the thermometer when checked by Wednesday morning are 5°C and -5°C.

Answer:

follow me on the gram (andrewa223) also the answer is a

Step-by-step explanation:

Answer:

Alex will pay $48.75 after the discount.

Step-by-step explanation:

With the information provided, in order to find the amount Alex will pay after the discount, first, you have to find the amount of the discount by calculating 25% of the price and then, you have to subtract that discount from the price:

$65*25%=$16.25

$65-$16.25=$48.75

According to this, the answer is that Alex will pay $48.75 after the discount.

Answer:

n = 45

Step-by-step explanation:

Step 1: Cross-multiply.

Step 2: Divide both sides by 11.

Answer:

80 degrees

Step-by-step explanation:

The sum of the interior angles of any quadrilateral is 360 degrees. Adding up the known measures gives you 95 + 123 + 62 = 280. Then you can subtract that from 360. 360 - 280 = 80. So x has to be 80 degrees.

The depth of water in the second cup is 9 cm when the water is transferred from a cylindrical cup with a radius of r cm and a depth of 36 cm.

Given that,

Depth of water in the first cylindrical cup with radius r: 36 cm

Transfer of water from the first cup to another cylindrical cup

Radius of the second cup: 2r cm

The first cup has a radius of r cm and a depth of 36 cm.

The volume of a cylinder is given by the formula:

V = π r² h,

Where V is the volume,

r is the radius,

h is the height (or depth) of the cylinder.

So, for the first cup, we have:

V₁ = π r² 36.

Now, calculate the volume of the second cup.

The second cup has a radius of 2r cm.

Call the depth or height of the water in the second cup h₂.

The volume of the second cup is V₂ = π (2r)² h₂.

Since the water from the first cup is transferred to the second cup, the volumes of the two cups should be equal.

Therefore, V₁ = V₂.

Replacing the values, we have

π r² 36 = π (2r)² h₂.

Simplifying this equation, we get

36 = 4h₂.

Dividing both sides by 4, we find h₂ = 9.

Therefore, the depth of the water in the second cup is 9 cm.

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A good way to ensure that data issues are properly addressed is by implementing robust data quality assurance and validation processes. These processes involve various steps and techniques to identify, prevent, and resolve data issues effectively. By following these best practices, you can minimize the risk of invalidating testing results due to date-related problems.

One essential step is to establish clear data quality standards and guidelines. This includes defining data formats, data integrity rules, and validation criteria specific to date-related fields. By setting these standards, you provide a framework for ensuring consistent and accurate data across the testing process.

Another important aspect is to perform comprehensive data profiling and analysis. This involves examining the data to identify anomalies, inconsistencies, or inaccuracies related to dates. By using data profiling tools or writing custom scripts, you can detect issues such as missing values, incorrect formats, or outliers within date fields. This analysis enables you to have an overview of the data quality and pinpoint potential problems.

To address data issues effectively, it is crucial to establish data cleansing procedures. This involves correcting errors, resolving inconsistencies, and standardizing date formats. For instance, you can use data cleaning techniques like imputation to fill in missing dates, transforming data into a consistent format (e.g., YYYY-MM-DD), or removing duplicate entries. By applying these cleansing techniques, you improve the accuracy and reliability of the data used in testing.

Furthermore, implementing data validation checks is essential to identify and flag potential issues during the testing process. This can involve writing automated tests or validation scripts that verify the integrity and correctness of date-related data. By performing validation checks at different stages of the testing process, you can detect anomalies promptly and take appropriate actions to address them.

Lastly, fostering a culture of data quality awareness and accountability is crucial. Promoting education and training on data handling best practices, emphasizing the importance of accurate dates, and encouraging open communication about data issues among team members can significantly contribute to ensuring data issues are adequately addressed.

In summary, to ensure data issues are properly addressed, it is important to establish data quality standards, perform data profiling and analysis, implement data cleansing procedures, incorporate validation checks, and foster a culture of data quality awareness. By following these practices, you can mitigate the risk of invalidating testing results due to date-related problems and enhance the overall reliability and integrity of your data.

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Answer:

the percentage increase for bread and cake is 66.67% and 20% respectively  

Step-by-step explanation:

The computation of the percentage increase for each bakery item is shown below:

For bread

= (25  - 15) ÷ 15

= 66.67%

For cakes

= (12 - 10) ÷ (10)

= 20%

Hence, the percentage increase for bread and cake is 66.67% and 20% respectively  

The size of the quarterly deposits in Shelby's RRSP account was approximately $147.40.

Let's denote the size of the quarterly deposits as \(D\). The total number of deposits made over 9 years is \(9 \times 4 = 36\) since there are 4 quarters in a year. The interest rate per period is \(r = \frac{3.50}{100 \times 12} = 0.0029167\) (3.50% annual rate compounded monthly).

Using the formula for the future value of an ordinary annuity, we can calculate the accumulated value of the RRSP fund:

\[55,000 = D \times \left(\frac{{(1 + r)^{36} - 1}}{r}\right)\]

Simplifying the equation and solving for \(D\), we find:

\[D = \frac{55,000 \times r}{(1 + r)^{36} - 1}\]

Substituting the values into the formula, we get:

\[D = \frac{55,000 \times 0.0029167}{(1 + 0.0029167)^{36} - 1} \approx 147.40\]

Therefore, the size of the quarterly deposits, rounded to the nearest cent, is approximately $147.40.

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Answer:

the walking rate miles per hour is 2 miles per hour

Step-by-step explanation:

The computation of the walking rate miles per hour is shown below;

Given that

She can walk half mile in one-fourth of an hour

= Miles ÷ hours

= (1÷ 2) ÷ (1 ÷4)

= 0.50 ÷ 0.25

= 2 miles per hour

Hence, the walking rate miles per hour is 2 miles per hour

The same is considered

Answer:

1/4

Step-by-step explanation:

divide numerator and denominator by 3

The total number of games the team played last year was 80 (option C). In the first half of the year, the team won 60 percent of their games, indicating that they won 6 out of every 10 games played.

In the second half of the year, the team played 20 games and won 3 of them. This means that in the second half, they won only 3 out of 20 games, which is equivalent to winning 15 percent of their games.

To find the overall percentage of games won, we can calculate the weighted average of the two percentages. Since the team won 50 percent of their games overall, we can assign equal weights to the first and second halves of the year. Therefore, the average winning percentage for the team would be the midpoint between 60 percent and 15 percent, which is (60% + 15%) / 2 = 37.5%.

Let's assume the total number of games played last year was x. Since the team won 37.5% of the games, they won 0.375x games. We can set up an equation based on the information given:

0.375x = 50% of x

0.375x = 0.5x

0.5x - 0.375x = 0

0.125x = 0

x = 0 / 0.125

x = 0

However, we have arrived at an invalid result. It seems there is an error in the information provided or the calculations made.

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Brenna would take 20 min to cut the same wood into sixths.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let x be the rate at which Brenna cuts the wood in a single piece,
So, She can cut a log into thirds in 10 min.
x = 3/10

x = 0.3 cuts per minute for single wood,

Now,
time took to cut the same wood into 6 pieces
= 6 / x
= 6 / 0.3
= 20 min

Thus, Brenna would take 20 min to cut the same wood into sixths.

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