b) Mrs. Maharjan can do part of a work in 1 day. She worked for 2 days and left. The remaining parts of the work is done by Mrs. Rai. (i) How much work did Mrs. Maharjan do in 2 days? (ii) How much work was left to do? (iii) How much work was done by Mrs. Rai?​

Answer:

V = B * H      area of base * height

B = pi * (D / 2)^2 = pi * 5^2 = 78.5 cm^2

H = V / B = 600  cm^3 / 78.5 cm^2 = 7.64 cm

To determine the explicit rule for the nth term of the given geometric sequence 5, 20, 80, 320, 1,280, ..., use the formula:`an = a1 * r^(n - 1)`, where an represents the nth term of the sequence.`a1`represents the first term of the sequence.`r` represents the common ratio between terms of the sequence.

The given sequence is 5, 20, 80, 320, 1,280, ...Let's now apply the formula to find the explicit rule for the nth term of the given sequence.`an = a1 * r^(n - 1)`Where a1 = 5 (first term of the sequence)`r` can be found by dividing any term by the preceding term, as `r = (second term) / (first term)`In this case,`r = (20) / (5) = 4`

Substituting the values in the formula:`an = a1 * r^(n - 1)``an = 5 * 4^(n - 1)` Therefore, the explicit rule for the nth term of the given geometric sequence is `an = 5 * 4^(n - 1)`.You can use this formula to find the value of any term in the sequence, given its position (n) in the sequence.For example, to find the 150th term of the sequence, substitute n = 150 in the formula: `a150 = 5 * 4^(150 - 1)`. This simplifies to `a150 = 1.442 x 10^90`.

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Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period.

The balance of the last month of Jerome's account is $880

Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.

The formula for the simple interest can be given as,

\(I=\dfrac{P\times r\times t}{100}\)

Here, \(I\) is the interest rate on the principal amount of \(P\) with the rate of \(r\) in the time period of \(t\).

Given information-

Jerome's average balance checking account pays simple interest of 7.2% annually.

Jerome made $5.28 in interest last month.

Convert the interest rate monthly as,

\(r=\dfrac{7.2}{12} \\r=0.6\)

Thus the monthly interest rate is 0.6 percent.

Suppose the balance of the last month is \(P\). Use the above formula to find the principal amount,

\(I=\dfrac{P\times r\times t}{100}\\5.28=\dfrac{P\times 0.6\times 1}{100}\)

Solve it for \(P\),

\(P=\dfrac{5.28\times100}{0.6\times1} \\P=\dfrac{528}{0.6} \\P=880\)

Hence, The balance of the last month of Jerome's account is $880.

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Answer:

I'm not completing sure (maybe a)

Step-by-step explanation:

Answer:

32h and a

Step-by-step explanation:

Answer:

First choice

Step-by-step explanation:

The '2' coefficient represents the 'per hour ' fee   .... '32 ' is the fixed fee.

You can tell if two lines are parallel when they have the same slope but different y-intercept. For example, y = 2x - 4 and y = 2x + 4 would be parallel lines. If they coincide, then the two lines would be on top of each other. For example, first-line with the equation of 3x +3y = 9 and second-line having 9x + 9y = 27 are coinciding lines.

You should sell the perfume for at least 278.40 euros to cover the cost of ingredients and achieve a 20% profit margin.

To determine the minimum selling price for the perfume, we need to calculate the total cost of the ingredients and then add a desired profit margin.

Let's calculate the cost of each ingredient first:

Cost of essence = 1 liter × 200 euros/liter = 200 euros

Cost of alcohol = 5 liters × 6 euros/liter = 30 euros

Cost of water = 2 liters × (cost per liter in euros)

Let's assume the cost of water is 1 euro per liter. In that case, the cost of water would be:

Cost of water = 2 liters × 1 euro/liter = 2 euros

Now we can calculate the total cost of the ingredients:

Total cost = Cost of essence + Cost of alcohol + Cost of water

= 200 euros + 30 euros + 2 euros

= 232 euros

To determine the minimum selling price, you need to add a desired profit margin.

Let's assume you want a 20% profit margin.

To calculate the selling price, you would add 20% of the total cost to the total cost:

Selling price = Total cost + (Profit margin × Total cost)

= 232 euros + (0.20 × 232 euros)

= 232 euros + 46.40 euros

= 278.40 euros

Therefore, you should sell the perfume for at least 278.40 euros to cover the cost of ingredients and achieve a 20% profit margin.

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Translation :-

A PERFUME MANUFACTURER MIXES 1 LITER OF ESSENCE

WITH 5 LITERS OF ALCOHOL AND 2 LITERS OF WATER. THE ESSENCE

IT COSTS 200 EUROS / LITER, ALCOHOL 6 EUROS / LITER AND WATER

EUROS PER LITER. HOW MUCH SHOULD YOU SELL AT LEAST THE

PERFUME?

Answer:

\(10x^{3}\)

Step-by-step explanation:

hope this helps.

The vertical asymptote is x = 1 or 7

There is no horizontal asymptote

An asymptote is a straight line that constantly approaches a given curve but does not meet at any infinite distance. In other words, Asymptote is a line that a curve approaches as it moves towards infinity.

To find vertical asymptote we set the denominator to 0 and we find the value of x

:. x² - 8x +7 = 0

x² -7x-x+7 = 0

(x²-7)(-x+7) = 0

x( x-7) -1(x-7) = 0

(x-1)(x-7) = 0

x-1 = 0 or x-7 = 0

therefore x = 1 or 7

to find the horizontal asymptote:

Since the degree of the numerator is higher than the denominator, there is no horizontal asymptote

to find the slant asymptote, we divide the numerator by the denominator.

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When using supervised learning, the fit() technique requires two arrays of training data, but unsupervised learning only requires one array.

After the model is initialised, the "fit" method runs the algorithm on the training data. That is all it does, in essence. Thus, the machine learning model is trained using the training data by the sklearn fit approach. In the manufacturing industry, the term "form-fit-function" (FFF) refers to a part's distinguishing features (a single component that goes into the final build of your product, typically kept on an item master).

model.fit(): fit practise data This accepts the data X and the labels y as two arguments for supervised learning applications (e.g., model. fit(X, y)). Function at Cost. The cost function for linear regression is the Sum of Squares of Errors with the lowest value. Calculate the squared error sum for each and every available line.

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John typically receives account statements from bias bank on a monthly basis.Bias bank is an American banking organization which provides customers with various banking services.

Account statements refer to a document that is produced by the bank which shows a summary of all the transactions that have been made by an account holder over a certain period of time.

The answer to the given question is that John typically receives account statements from bias bank on a monthly basis.

Therefore, option C.

Monthly is the correct answer. John may also request for account statements more frequently than the standard monthly statement.

It is important to review these account statements regularly to ensure that all the transactions have been made correctly, and to identify any errors or fraudulent activity that may have occurred.

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Answer:

15. 155°

16. 115°

Step-by-step explanation:

15.

Use the big triangle.

At the top, the supplement of 60° is 120°.

The angle measuring 120° and the angle measuring 35° are the remote interior angles to exterior angle x.

120° + 35° = x

x = 155°

16.

See picture below.

x = 115°

Answer:

  15)  x = 155°

  16)  x = 115°

Step-by-step explanation:

The theorem that relates an exterior angle of a triangle to the opposite (remote) interior angles is helpful for these problems. It says the exterior angle is equal to the sum of the remote interior angles.

Remove the altitude line and consider the interior angle of the triangle next to the exterior angle marked 60°. That interior angle will be ...

  180° -60° = 120°

Then the angle we just found and the one marked 35° are "remote" to the exterior angle marked x. The theorem cited at the beginning tells us ...

  x = 35° +120°

  x = 155°

Extend the left side of the "parallelogram" (the side with the arrow) upward until it meets the top horizontal line. This cuts off a triangle with an exterior angle marked x, an interior angle marked 50°, and another remote interior angle at the top edge of that triangle.

The opposite angles of a parallelogram are congruent, so the external angle to the triangle at the top edge will be x, and the adjacent interior angle in the triangle will be (180° -x).

The exterior angle (x) is equal to the sum of the remote interior angles (50° and (180° -x)), so we have ...

  x = 50 +(180 -x)

  2x = 230 . . . . . . add x, simplify

  x = 115 . . . . . . . divide by 2

The measure of the angles marked x is 115°.

Answer:

C = 100

Step-by-step explanation:

PEMDAS

multiplication and division first from left to right so

125/25 = 5

5x5 = 25

25 + 75 = 100

Answer:

C. 100

Step-by-step explanation:

To complete this question you must use systems of equations.

First you must complete multiplication or division depending on which comes first in the left to right sequence. In this case it is 125/25 which equals 5. This now makes the equation 75+5 x 5

Next, you complete any other division or multiplication Which in this case is, 5x5. The answer to this is 25, making the new equation, 75+25 which when added together equals 100!

And that is how you use systems of equations. Hope it helps ;)

z_1 and z_2 are complex number;

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

To calculate z₁z₂ and z₁/z₂, we need to perform the complex number operations on z₁ and z₂. Let's break down the calculations step by step:

i) To find z₁z₂, we multiply the magnitudes and add the angles:

z₁z₂ = 4cos(cos(π/4) + isin(π/4)) * 2cos(2π/3) + isin(2π/3))

= 8cos((cos(π/4) + 2π/3) + isin((π/4) + 2π/3))

= 8cos(7π/12) + isin(7π/12)

ii) To find z₁/z₂, we divide the magnitudes and subtract the angles:

z₁/z₂ = (4cos(cos(π/4) + isin(π/4))) / (2cos(2π/3) + isin(2π/3))

= (4cos((cos(π/4) - 2π/3) + isin((π/4) - 2π/3))) / 2

= 2cos(π/12) + isin(π/12)

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

Please note that the given calculations are based on the provided complex numbers and their angles.

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Answer:

\(\boxed{\sf{13}}\)

Step-by-step explanation:

The only way to solve this problem is to use the distance formula from left to right.

Distance formula:

\(\sf{(X_1,Y_1)(X_2,Y_1)}\)

\(\sf{\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}}\)

y2=5

y1=(-7)

x2=2

x1=7

Solve the problem by rewriting it down.

\(\sf{\sqrt{\left(2-7\right)^2+\left(5-\left(-7\right)\right)^2}}\)

\(\boxed{\sf{=13}}\)

Therefore, the final answer is 13.

I hope this helps! Let me know if my answer is wrong or not.

The the locus of the equation y = x is a straight line. The slope of the linear function → y = x is [m] = 1 and the [y] intercept is at [c] = 0.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given is the function -

x = y

We have the function -

y = x

Now, we can define locus as -

A curve or other figure formed by all the points satisfying a particular equation of the relation between coordinates, or by a point, line, or surface moving according to mathematically defined conditions.

This equation -

y = x

is a straight line.

Refer to the graph attached.

The slope of the line is [m] = 1

The [y] intercept is at [c] = 0

Therefore, the the locus of the equation y = x is a straight line. The slope of the linear function → y = x is [m] = 1 and the [y] intercept is at [c] = 0.

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We are asked to find the values needed for the length CB

The coordinates of points C and B are given as

C(-a, -5b)

Recall that the distance formula is given by

For the given case,

Let us substitute these coordinates into the above distance formula

Therefore, the required values are

Answer:

3/10 or 0.3

Step-by-step explanation:

The experimental likelihood that probability the incoming train will be fully occupied is 0.56, or 56%.

It's simple to calculate the likelihood of a simple event occurring by adding the probabilities together. Your overall odds to win something, for instance, are 10% + 25% = 35% if your chances of winning $10 or $20, respectively, are 10% and 25%, respectively.

In this instance, 14 of the 25 arriving trains were completely full.

The following train's likelihood of being full is determined by the proportion of full trains to all other trains.

14/25 are in favor of the upcoming train being fully loaded.

The likelihood that the following train will have every seat taken is 0.56, or 56%.

It either happens or it doesn't, according to the four significant rules of probability. The chance of an event occurring when the probability of it not occurring is put together is always 1. The same principles apply to empirical probability.

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If the best fit line is nearly horizontal, it suggests no significant relationship between height and head circumference.

In this scenario, the explanatory variable is the child's height, as it is being used to predict the head circumference.

The response variable is the head circumference itself, as it is the variable being predicted or explained by the height.

To draw a scatter diagram of the data, you would plot the child's height on the x-axis and the corresponding head circumference on the y-axis. Each data point would represent a child's measurement pair.

Once all the data points are plotted, you can then draw the best fit line, also known as the regression line, that represents the overall trend or relationship between height and head circumference.

By observing the scatter diagram and the best fit line, you can determine the relationship between a child's height and head circumference.

If the best fit line has a positive slope, it indicates a positive relationship, meaning that as height increases, head circumference tends to increase as well.

If the best fit line has a negative slope, it indicates a negative relationship, meaning that as height increases, head circumference tends to decrease.

By assessing the slope of the best fit line in the scatter diagram, you can determine whether the relationship between height and head circumference is positive, negative, or nonexistent.

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Answer:  The number is 14   ,  look into the steps for more explanations.

Step-by-step explanation:

Twice the sum of a number and seven  is three times the number .  

in this case we will represent that number  by the variable x.

The sum of x and 7  is      x+7  

Twice that will be     2(x +7)  

That has to equation  three times the number which will make it

2(x+7) = 3x    Now solve for x to find the number  by distributing

2x + 14 = 3x           Subtract 2x from both sides

 2x          -2x

 14 = 1x              Divide both sides by 1

x = 14

Answer:

180

Step-by-step explanation:

I'll just manually compute this one. Every attempt she will add 2 more jumps.

Attempt Jumps Accumulated Jumps

1 6 6

2 8 14

3 10 24

4 12 36

5 14 50

6 16 66

7 18 84

8 20 104

9 22 126

10 24 150

11 26 176

12 28 204

Total jumps from 4th trip through 12th trip: 204 - 24 = 180 jumps

The rate of change for the given table is 1.

For a function y = f(x), the rate of change in any interval (a, b) is:

R = (f(b) - f(a))/(b - a)

Here we can use any pair of values in the table, because it clearly is linear, so we can use the first two.

(4, 9) and (9, 14)

The rate of change is:

r = (14 - 9)/(9 - 4) = 5/5 = 1

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We should use a sample size of at least 154 to estimate the mean fuel efficiency for the new type of motorcycle within 0.5 mpg. The confidence interval in Part A is between 60.725 and 65.555 mpg.

To construct a 95% confidence interval for the mean fuel efficiency for this vehicle, we can use the formula:

Confidence interval = sample mean ± (critical value) * (standard deviation / sqrt(sample size))

First, let's calculate the sample mean and standard deviation for the given data:

Sample mean = (57.5 + 62.3 + 67.2 + 58.1 + 59.6 + 71.9 + 55.2 + 57.6 + 71.9 + 68.8 + 69.1 + 65.3 + 62.3 + 64.7 + 59.9 + 62.1 + 63.5 + 62.9 + 66.7 + 61.3) / 20

= 63.14

Sample standard deviation = √(((57.5 - 63.14)² + (62.3 - 63.14)² + (67.2 - 63.14)² + ... + (61.3 - 63.14)²) / 19)

= 4.97

Next, we need to find the critical value for a 95% confidence level. Since the sample size is small (20), we will use a t-distribution. The degrees of freedom for this calculation is 20 - 1 = 19. Consulting a t-table or using statistical software, we find the critical value to be approximately 2.093.

Plugging the values into the formula, we get:

Confidence interval = 63.14 ± (2.093) * (4.97 / √(20)) ≈ 63.14 ± 2.415

Interpreting the confidence interval, we can say with 95% confidence that the true mean fuel efficiency for this vehicle falls between 60.725 and 65.555 mpg.

To determine if the new motorcycle has greater fuel efficiency than the previous model, we can perform a hypothesis test. The null hypothesis (H0) is that there is no difference in fuel efficiency between the two models, and the alternative hypothesis (Ha) is that the new model has greater fuel efficiency.

We can use a t-test to compare the means of two independent samples. The test statistic is calculated as:
t = (sample mean 1 - sample mean 2) / sqrt((sample variance 1 / sample size 1) + (sample variance 2 / sample size 2))

For this case, the sample mean for the new model is 65.9 mpg, and the sample standard deviation is 3.2 mpg. The sample mean and standard deviation for the previous model were calculated in Part A. We can use the same sample size of 20 for both models.

Calculating the test statistic:

t = (65.9 - 63.14) / √((4.97² / 20) + (3.2² / 20))

t ≈ 1.376

Looking up the critical value for a t-distribution with 20 - 1 = 19 degrees of freedom at a 95% confidence level, we find it to be approximately 2.093.

Since the test statistic (1.376) is less than the critical value (2.093), we do not have enough evidence to convincingly claim that the new model has greater fuel efficiency than the previous model.

To construct a 98% confidence interval for the mean fuel efficiency of the older model, we can use the same formula as in Part A. The only difference is the critical value. For a 98% confidence level, the critical value for a t-distribution with 20 - 1 = 19 degrees of freedom is approximately 2.861.

Plugging the values into the formula:

Confidence interval = 63.14 ± (2.861) * (4.97 / √(20))

≈ 63.14 ± 3.303

Interpreting the confidence interval, we can say with 98% confidence that the true mean fuel efficiency for the older model falls between 59.837 and 66.443 mpg.

The change in confidence level from 95% to 98% does not change the conclusion in Part B. The hypothesis test is based on comparing the test statistic to the critical value, and the confidence interval is based on the sample mean and standard deviation. The change in confidence level does not alter these values or the comparison between them.

To estimate the mean fuel efficiency for the new type of motorcycle within 0.5 mpg, we need to calculate the sample size required. The formula for the sample size is:

Sample size = (Z-score * standard deviation / margin of error)²

Plugging in the values:

Z-score = critical value for the desired confidence level (let's assume 95%)

Standard deviation = 3.2 mpg (from the given data)

Margin of error = 0.5 mpg

Using a Z-score of approximately 1.96 for a 95% confidence level:

Sample size = (1.96 * 3.2 / 0.5)² ≈ 153.86

We should use a sample size of at least 154 to estimate the mean fuel efficiency for the new type of motorcycle within 0.5 mpg.

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The description of the parts of the expression are

The expression is given as:

1/2(2a + 1)(a + 3)

The above expression has three factors and the factors are 1/2, 2a + 1 and a + 3

This means that the entire expression is the product of three factors

Also, we have:

2a + 1

The above expression is a sum expression, and the terms are 2a and 1

This means that on its own, (2a+1) is a sum with two terms

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Complete question

Consider the expression 1/2(2a + 1)(a + 3)

Complete 2 descriptions of the parts of the expression.

The entire expression is the product of

On its own, (2a+1) is a sum with

answer two terms and three factors have a good day friends!

Step-by-step explanation:

Using the federal list, the total amount of exemptions that Jerry would be allowed is $25,150.

Jerry's assets include a house with equity of $15,000, a car with equity of $2,500, household goods worth $6,000 (no single item over $400), and tools worth $5,800 that he needs for his business.

Using the state list, the total amount of exemptions that Jerry would be allowed varies depending on the state in which he resides. Without knowing the state, it is impossible to provide an accurate answer. However, it is worth noting that the state list is often more favorable for individuals than the federal list.

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The given linear programming problem aims to maximize the objective function \(Z = 3x1 + 2x2\), subject to four constraints: x1 ≤ 4, x2 ≤ 6, 3x1 + 2x2 ≤ 18, and x1 ≥ 0, x2 ≥ 0.

The objective of linear programming is to optimize (maximize or minimize) a linear objective function while satisfying a set of linear constraints. In this case, the objective is to maximize \(Z = 3x1 + 2x2\).

The constraints in the problem define the feasible region, which is the set of all points that satisfy the constraints. The constraints state that x1 must be less than or equal to 4, x2 must be less than or equal to 6, and the linear combination \(3x1 + 2x2\) must be less than or equal to 18. Additionally, both x1 and x2 must be greater than or equal to zero.

To solve this linear programming problem, graphical methods or optimization algorithms such as the simplex method can be employed. The feasible region is determined by graphing the constraints and finding the overlapping region. The optimal solution is the point within the feasible region that maximizes the objective function.

The explanation of the solution, including the optimal values of x1 and x2, the maximum value of Z, and the graphical representation of the problem, can be provided based on the chosen method of solving the linear programming problem.

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Answer:

Bodzmkoutdoii6iriutdiudiwtyaoroyrisr