what is the sum of the first 30 even numbers i added them all up and got 300 but lots of people are getting diffrent answers some how?

Answer:

y=0.3x-2

Step-by-step explanation:

first find the gradient

m=y2-y1/x2-x1

m=0-(-2)/6-0

m=0.3

then use this equation

y-y1=m(x-x1)

y-(-2)=0.3(x-0)

y+2=0.3x-0

y=0.3x-2

The expressions that will give you a difference of 5 are: -3 - (-8) and 1 - (-4).

The difference of two expressions is determined by subtracting one from the other.

Find the difference of each of the expressions given to determine which will give us 5.

-3 - (-8)

= -3 + 8

= 5

-2 - 3 = -5 [this is not the same as 5]

1 - (-4)

= 1 + 4

= 5

7 - (-2)

= 7 + 2

= 9

-3 - (-8) and 1 - (-4) will give us a difference of 5.

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The common denominator for the fractions 4/1 and 2/3 is 3. By multiplying each fraction by the appropriate factor, we can express them with the common denominator of 3.

To find a common denominator for the fractions 4/1 and 2/3, we need to identify the least common multiple (LCM) of the denominators.

The denominator of the first fraction is 1, and the denominator of the second fraction is 3. To find the LCM, we can list the multiples of each denominator and identify the smallest number that appears in both lists.

Multiples of 1: 1, 2, 3, 4, 5, ...

Multiples of 3: 3, 6, 9, 12, 15, ...

From the lists above, we can see that the smallest number that appears in both lists is 3. Therefore, the least common multiple (LCM) of 1 and 3 is 3.

To express both fractions with a common denominator of 3, we need to make equivalent fractions by multiplying the numerator and denominator of each fraction by the appropriate factor that turns the original denominator into 3.

For the fraction 4/1:

Multiply the numerator and denominator by 3:

(4 * 3) / (1 * 3) = 12/3

For the fraction 2/3:

Multiply the numerator and denominator by 1:

(2 * 1) / (3 * 1) = 2/3

Now, both fractions have a common denominator of 3. The updated fractions are 12/3 and 2/3.

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To calculate the variances, we need to compare the actual costs and quantities with the standard costs and quantities. Let's calculate each variance step by step:

(a) Direct material price variance:

Actual cost of direct material = 160,000 litres x RM14/litre = RM2,240,000

Standard cost of direct material = 160,000 litres x RM15/litre = RM2,400,000

Direct material price variance = Actual cost - Standard cost

= RM2,240,000 - RM2,400,000

= -RM160,000 (unfavourable)

(b) Direct material usage variance:

Actual usage of direct material = 160,000 litres

Standard usage of direct material = 120,000 cans x 12 litres/can = 1,440,000 litres

Direct material usage variance = Standard cost - Actual cost

= RM2,400,000 - RM2,240,000

= RM160,000 (favourable)

(c) Direct labour rate variance:

Actual cost of direct labour = 55,000 hours x RM12.50/hour = RM687,500

Standard cost of direct labour = 120,000 cans x 4 hours/can x RM12/hour = RM5,760,000

Direct labour rate variance = Actual cost - Standard cost

= RM687,500 - RM5,760,000

= -RM5,072,500 (unfavourable)

(d) Direct labour efficiency variance:

Actual hours worked = 55,000 hours

Standard hours allowed = 120,000 cans x 4 hours/can = 480,000 hours

Direct labour efficiency variance = Standard cost - Actual cost

= RM5,760,000 - RM687,500

= RM5,072,500 (favourable)

(e) Variable overhead expenditure variance:

Actual variable overhead = RM828,000

Standard variable overhead = 55,000 hours x RM16/hour = RM880,000

Variable overhead expenditure variance = Actual variable overhead - Standard variable overhead

= RM828,000 - RM880,000

= -RM52,000 (unfavourable)

(f) Fixed overhead efficiency variance:

Actual hours worked = 55,000 hours

Standard hours allowed = 120,000 cans x 4 hours/can = 480,000 hours

Fixed overhead efficiency variance = Standard fixed overhead - Actual fixed overhead

= RM440,000 - (55,000 hours x RM10/hour)

= RM440,000 - RM550,000

= -RM110,000 (unfavourable)

(g) Fixed overhead expenditure variance:

Actual fixed overhead = RM440,000

Standard fixed overhead = 55,000 hours x RM10/hour = RM550,000

Fixed overhead expenditure variance = Actual fixed overhead - Standard fixed overhead

= RM440,000 - RM550,000

= -RM110,000 (unfavourable)

(h) Possible cause for favourable direct labour rate and efficiency variances:

One possible cause for favourable direct labour rate and efficiency variances could be improved productivity or efficiency in the production process. It could be due to employees working more effectively, reducing the time required to complete tasks and thus resulting in lower costs. Additionally, the company may have negotiated lower labour rates or implemented cost-saving measures in the labour component.

Note: It's important to consider the given units and values while performing the calculations, and to round the variances appropriately based on the given requirements.

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Answer:

The tank capacity is 24 gallons

Step-by-step explanation:

Let the tank capacity be c.

Then (1/6)c + 2 = (1/4)c, or (since the LCD is 12):

2c/12 + 24/12 =  3c/12, or

24/12 = c/12

Multiplying both sides by 12, we get:

24 = c

The tank capacity is 24 gallons.

Answer:

When finding the value of x let y be 0 and when finding value of y let x be 0 and get your answers.

Answer:

C

Step-by-step explanation:

add the two x^2 parts    =  10 x^2

 so answer is B or C

  add the constants   7 + 6 = 13     so answer C

Answer:

C. 10x²-x+13

Step-by-step explanation:

1. Add the numbers

x^2 - x + 7 + 9x^2 + 6

x^2 - x + 13 + 9x^2

2. Combine like terms

x^2 - x + 13 + 9x^2

10x^2 - x + 13

International assignees and international students have a lot in common. They both face a number of similar cultural adaptation challenges when adjusting to life in a foreign country. These challenges might include things like locating ideal housing, building new relationships, and communicating in a foreign language … all while trying to succeed personally and professionally.

But there’s one fundamental difference: instead of being paid for their work, international students earn a grade. And if they aren’t able to successfully adapt to university life in another culture, it will likely be reflected in their academic performance. This can snowball into more serious issues because grade-point average is often part of determining eligibility for important opportunities, such as scholarships and financial aid. Additionally, families often have invested a great deal of time and money to ensure that a student can attend overseas, so many students feel some pressure to perform well on behalf of their community back home.

Answer:

54°

Step-by-step explanation:

Angle W= Angle U, so Angle U= (180°-71°) /2=54°

Answer:

1. 570 mL = 0.57 L

2. 623 cm3 = 0.000623 m3

3. 38 gal. = 608 cups

4. 585mL = 39.5624 tbsp

5. 20 fl. oz. = 120 tsp

6. 12 hrs = 720 min

Step-by-step explanation:

1. 570 mL to L

divide the volume value by 1000, 570 / 1000 = 0.57

2. 623 cm3 to m3

divide the volume value by 623/10^6 = 0.000623

3. 38 gal. to c

1 gallon is 16 cups,  

multiply the volume value by 16, 38 x 16 = 608c

4. 585mL to tbsp

for an approximate result, divide the volume value by 14.787

14.787 x 585 = 39.5624

5. 20 fl. oz. to tsp

multiply the volume value by 6, 20 x 6 = 120

6. 12 hrs to min

1 hour is 60 minutes

multiply the time value by 60

12 x 60 = 720

Since quadrilateral MNPQ is inscribed inside a circle, it means that it is a cyclic quadrilateral. For a cyclic quadrilateral, the opposite angles are supplementary. This means that their sum is 180 degrees.

This means that

M and P are opposite angles

angle M + angle P = 180 degrees

Also,

N and Q are opposite angles

angle N + angle Q = 180 degrees

We were told that segment MN is part of ray MR. This means that angle PNR is adjacent to angle PNM. The sum of the adjacent angles is 180 degrees

If angle PNR = 95 degrees, then,

angle PNM = 180 - 95 = 85 degrees

angle PNM is the same as angle N

We know that

angle N + angle Q = 180 degrees

85 + angle Q = 180

angle Q = 180 - 85

angle Q = 95 degrees

Thus, the correct option is

D) angle Q

a) The unit prices to determine the best buy are as follows:

b) The best buy is the 14-ounce bottle of salad dressing with a unit cost of $0.24 since they are all Grade A products.

The unit price or cost is the cost for an item or a unit.

The unit price can be compared to the unit rate, which is the quotient of the total cost and the number of units.

                              6 ounces   14 ounces   20 ounces

Total costs               $1.56           $3.36          $5.60

Unit cost                  $0.26          $0.24          $0.28

                            ($1.56/6)      ($3.36/14)     ($5.60/20)

Thus, buying a 14-ounce bottle of salad dressing is more economical than others.

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Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

After performng the indicated operations on (6t² - 3)(-x + 2)² we will get

6t²x² - 3x² - 24t²x + 12x + 24t² + 24t² - 12

Here we are given the expression

(6t² - 3)(-x + 2)²

Here first we will use the formula (a + b)² = a² + 2ab + b²

Hence we get

(6t² - 3)(x² - 4x + 4)

Now we are going to open the brackets and multiply each element of the first bracket with each element of the other hence we get

6t²(x² - 4x + 4)  -  3(x² - 4x + 4)

= 6t²(x²)  -  6t²(4x)  +  6t²(4)   -   -3(x²) - -3(4)x + -3(4)

= 6t²x² - 24t²x + 24t²  -  3x² + 12x - 12

Now rearranging them according to the power of x gives us

= 6t²x² - 3x² - 24t²x + 12x + 24t² + 24t² - 12. This is the required expression

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Answer:

499/999

Step-by-step explanation:

The decimal number written is:

0.499...

Such that these 3 decimals are repeated as:

0.499499499...

Let's define this number as k

k = 0.499...

Let's multiply this number by 1000 (the same number of zeros as important decimals after the decimal point)

we get:

1000*k = (1000)*(0.499...) = 499.499...

Now we can subtract the original number k, so we get:

1000*k - k = 499.499... - 0.499...

In this way, we remove the part after the decimal point:

1000*k - k = 499.499... - 0.499...

(1000 - 1)*k = 499

999*k = 499

Now we can divide both sides by 999

(999*k)/999 = 499/999

k = 499/999

The fraction notation of our number is 499/999 (and this is the simplest form)

for 5 bucks a plate its 39 for 6 bucks its 33

Step-by-step explanation:

In the given word problem, they all start to mow their lawns at the same time, Beth will finish first.

Let's assume that Beth's lawn has an area of x, so Andy's lawn has an area of 2x, and Carlos' lawn has an area of (1/3) × 2x = (2/3)x. Let's also assume that Beth's lawn mower can mow at a rate of 1 unit of area per hour, so Carlos' mower can mow at a rate of 1/2 = 0.5 units of area per hour, and Andy's mower can mow at a rate of 1/3 units of area per hour.  We can calculate the time it will take each person to mow their lawn by using the formula:

Time = Area / Rate.

Beth's time = x / 1

                   = x hours

Carlos' time = (2/3)x / 0.5

                    = (4/3)x hours

Andy's time = 2x / (1/3)

                    = 6x hours

According to these facts, it is quite clear that Beth would finish first followed by Carlos and Andy would finish last.

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The numbered choice 7 represents a value for x which will make B a function.

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

Given:

A relation B =  {(4,2), (5,-3), (12,4), (-3,6), (x, 7)}.

To prove that the relation is a function:

Each input value gives only one output value.

Input →  output

4 →  2

5 →  -3

12 →  4

-3 →  6

x  → 7.

So, the value of x can not be 4, 5, 12, -3.

From the options, the value of x is 7.

Therefore, the value of x is 7.

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The probability that the random variable will take on a value between 31 and 35 is 0.2620 or 26.20%.

To solve this problem, we need to standardize the values of 31 and 35 using the formula:

z = (x - μ) / σ

where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

For x = 31:

z = (31 - 30) / 5 = 0.2

For x = 35:

z = (35 - 30) / 5 = 1

Now, we can use a standard normal distribution table or calculator to find the probabilities corresponding to these z-values. The probability of getting a value between 31 and 35 is the difference between the probability of getting a z-value less than 1 and the probability of getting a z-value less than 0.2:

P(31 ≤ x ≤ 35) = P(z ≤ 1) - P(z ≤ 0.2)
= 0.8413 - 0.5793
= 0.2620

Therefore, the probability that the random variable will take on a value between 31 and 35 is 0.2620 or 26.20%.

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Answer:

B

Step-by-step explanation:

3(x - 2) - 4(x - 5) = -x + 14

3x - 6 - 4x + 20

3x - 4x + 20 - 6

- x + 14

Answer:

-1x + 14

Step-by-step explanation:

3(x-2)-4(x-5) | Given

3x - 6 - 4x + 20 | Distribute

-1x + 14 | Combine like-terms

Answer:

B

Step-by-step explanation:

Box plots present the shape of the distribution (density curve), Box plots can involve a categorical variable and a continuous numerical variable, Box plots show where the peak of the distribution is are the correct statement.

Instead of showing the raw data points, Box Plots takes the sample data and then present the ranges of values based on the quartiles and also display the asterisks for outliers that generally falls outside the whiskers.

Yes, the shape of distribution can be understood from a Box Plot. It can show whether a statistical data set is normally distributed or skewed.

A Box plot is a graph of the distribution that has Continuous variables. It is also applicable for Categorical variables.

Box Plot generally shows the below parameters: Maximum, Minimum, Median, 75th Percentile, 25th Percentile and Interquartile Range.

A size can be determined by using these parameters but is not directly seen in a Box Plot

Generally a Standard Deviation is not visualized by Box Plot. It mainly visualizes Maximum, Minimum, Median, 75th Percentile, 25th Percentile and Interquartile Range.

Yes, the peak of the distribution can be analyzed from Box Plot

Generally for Normal Distribution, Mean = Median and this is the point where the peak is seen.

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Answer: The above answer is correct.

1. C

2. B

Step-by-step explanation: I got this right on Edmentum.

The vertices of the hyperbola will be (–20, 41) and (–20, 1). Then the correct option is C. The foci of the hyperbola will be (–20, 50) and (–20, –8). Then the correct option is B.

The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.

The equation of the hyperbola is given below.

\(\rm \dfrac{(y-21)^2}{20^2}-\dfrac{(x+20)^2}{21^2}=1\)

The vertices (h, k + a), (h, k – a) are the two bending points of the hyperbola with center (h, k).

The center of the hyperbola will be at (-20, 21).

The value of a and b will be 20 and 21, respectively.

Then the vertices of the hyperbola will be

(–20, 21 + 20) and (–20, 21 – 20)

(–20, 41) and (–20, 1)

Then the correct option is C.

The foci (h, k + c), (h, k – c) are the two bending points of the hyperbola with center (h, k).

c² = a² + b²

c² = 20² + 21²

c = 29

Then the foci of the hyperbola will be

(–20, 21 + 29) and (–20, 21 – 29)

(–20, 50) and (–20, –8)

Then the correct option is B.

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The student's answer is incorrect; they should have distributed the negative sign to the terms in the second parentheses, then combine like terms: 6b 4r - 2b r = 4b + 3r.

The student's answer is incorrect; they should have distributed the negative sign to the terms in the second parentheses. To correctly simplify the expression, first distribute the negative sign, then combine like terms. Start by distributing the negative sign: 6b 4r - 2b r = 6b 4r + (-2b) (-r). Then, combine like terms: 6b 4r + (-2b) (-r) = 6b + (-2b) + 4r + (-r) = 4b + 3r. This is the correct answer.  It is important to note that when subtracting within parentheses, you must distribute the negative sign to each term. Once the negative sign has been distributed, you can then combine like terms. This method can be used to simplify any expression with parentheses and subtractions.

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Answer:

I go for I and IV....................

Jeff Parent's data supports the presence of a hill on Mile 2, as there is a significant difference in the mean time it takes to ride each mile.

To test the claim that it takes the same time to ride each of the miles, we need to use a one-way ANOVA test.

Using the provided data, we calculate the mean time for each mile and find that Mile 2 has a significantly higher mean time than the other two miles. Therefore, it appears that Mile 2 has a hill.

Jeff Parent's data shows that there is a significant difference in the mean time it takes to ride each mile. Using a one-way ANOVA test with a 0.05 significance level, we found that Mile 2 has a significantly higher mean time than the other two miles. This indicates that there is a hill on Mile 2, which is causing the increased time.

Therefore, we reject the claim that it takes the same time to ride each of the miles and conclude that there is a hill on Mile 2.

Jeff Parent's data supports the presence of a hill on Mile 2, as there is a significant difference in the mean time it takes to ride each mile. This information can be useful for Jeff to adjust his training and race strategy accordingly.

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The transfer price set by the selling division should be equal to the selling price less the variable costs plus the foregone contribution to the organization of making the transfer internally. Option D.

The transfer price refers to the price at which goods or services are transferred between divisions within the same organization. When the selling division sets the transfer price, it needs to consider various factors. Option D, selling price less the variable costs plus the foregone contribution to the organization of making the transfer internally, is the most appropriate choice.

The selling price less the variable costs ensures that the selling division covers its direct costs associated with the transferred goods or services. This ensures that the division remains financially viable and does not incur losses. However, it is also important to consider the opportunity cost of making the transfer internally.

The foregone contribution to the organization represents the potential profit or contribution that the selling division could have made if it had sold the goods or services to external customers instead of transferring them internally. By including this foregone contribution in the transfer price, the selling division accounts for the potential value it could have added to the organization.

In conclusion, the transfer price set by the selling division should consider both the variable costs associated with the transfer and the foregone contribution to the organization. Option D, selling price less the variable costs plus the foregone contribution to the organization of making the transfer internally, captures both of these factors and provides a comprehensive approach to setting the transfer price.

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