Determine if L1 and L2 are parallel, skew or intersecting. If
they intersect, find the point of
intersection. ????1: x-4/2 = y+5/4 = z-1/-3 and
????2: x-2/1 = y+1/3 = z/-2

If "coffee-shop" is 5 blocks East of Amber's house and park is 3 blocks West of Amber's house, then the distance in blocks between "coffee-shop" to park is 8 blocks.

The distance between the "coffee-shop" and "Amber's house" is 5 blocks to the East, and the distance between the "park" and "Amber's house" is 3 blocks to the West.

To find the distance between the "coffee-shop" and the park, we can add the distances from the coffee shop to Amber's house and from Amber's house to the park:

On adding both the distance ,

We get,

⇒ 5 + 3 = 8,

Therefore, the distance between the coffee shop and the park is 8 blocks.

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We want to find the perimeter of the fifth square in the given sequence.

The perimeter of the fifth square is 1cm.

Let's see how to get that:

The perimeter of the first square is 16cm.

Remember that the perimeter of a square of side length S is:

P = 4*S

Then the side length of the first square is given by:

16cm = 4*S

16cm/4 = S = 4cm

Then she connects the midpoints of the sides to form another square (actually four equal squares).

The midpoint would be at half of the side length of the square, then the side length of the new squares is 4cm/2 = 2cm.

For the third square, the side length is divided by two again, to get 2cm/2 = 1cm

For the fourth square this happens again: 1cm/2 = 0.5cm

For the fift square this happens again: 0.5cm/2 = 0.25cm

Then we have a square of side length equal to 0.25cm, the perimeter will be:

p' = 4*0.25cm = 1cm

The perimeter of the fifth square is 1cm.

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As, ∠ABC = 90°, and ∠ABC = ∠ABE + ∠EBC

=> ∠ABE + ∠EBC = 90°

=> ∠1 + ∠2 = 90° - (i)

Now, we are given that ∠1 and ∠3 are complementary.

=> ∠1 + ∠3 = 90° - (ii)

Now, from equation (i) and (ii), we have :

=> ∠2 = ∠3

Hence, ∠2 ⩭∠3.

Answer:

31

Step-by-step explanation:

h - 7.3 = 23.7

h = 31

"Static-Reports" differ from "dynamic-reports" in that static-reports are fixed.

The "Static-Reports" differ from dynamic reports in that static reports are fixed and do not change once generated, while dynamic reports are capable of updating and adapting in real-time or based on user interactions.

Static reports are pre-generated and provide a snapshot of information at the time of creation. They are static in nature and do not reflect any changes which may occur after their generation. Static reports are commonly in formats like PDF or printed documents.

The dynamic reports are designed to be interactive and responsive. They can be connected to live databases, which allows for real-time updates and dynamic visualizations.

Dynamic reports can be customized, filtered, and adjusted by users to explore data from different angles.

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The main difference between static and dynamic reports is that static reports are fixed documents that do not change or update automatically, while dynamic reports can update and change in real-time.

In the field of business, reports play a crucial role in presenting and analyzing data. Two types of reports commonly used are static reports and dynamic reports. The main difference between static and dynamic reports lies in their nature and functionality.

Static reports are fixed documents that present information at a specific point in time. They do not change or update automatically. These reports are typically created using tools like Microsoft Word or Excel. Static reports are often used for presenting historical data or summarizing information. For example, a static report may be used to present sales figures for a specific quarter or to summarize the financial performance of a company for a particular year.

Dynamic reports, on the other hand, are capable of updating and changing in real-time. They are usually generated using specialized software or programming languages. Dynamic reports can pull data from various sources and provide up-to-date information. These reports are commonly used for monitoring and analyzing real-time data. For instance, a dynamic report may be used to track website traffic in real-time or to monitor stock prices as they fluctuate throughout the day.

In summary, static reports are fixed documents that do not change or update automatically, while dynamic reports can update and change in real-time.

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The value of the expression 2^6 × 2^2 is 8^2 * 4

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

2^6 × 2^2

Apply the product law of indices to the above expression

So, we have

2^6 × 2^2 = 2^(6 + 2)

Evaluate the sum in the above expression

So, we have

2^6 × 2^2 = 2^8

Expand the expression

So, we have

2^6 × 2^2 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2

This gives

2^6 × 2^2 = 8 * 8 * 4

So, we have

2^6 × 2^2 = 8^2 * 4

Hence, the value of the expression 2^6 × 2^2 is 8^2 * 4

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Answer:

Step-by-step explanation:

Student's t test for correlated groups reduces to Student's t test for single samples using difference scores. Therefore, the correct answer is (b).

In a t test for correlated groups (also known as paired-samples or dependent-samples t test), the same group of participants is measured twice, under two different conditions or at two different times. The difference between the two measurements for each participant is calculated and used as the sample data. The t test for correlated groups compares the mean difference score to zero to determine if there is a significant difference between the two conditions or times.

This can be seen as equivalent to a t test for single samples using difference scores, where the mean difference score is compared to a known or hypothesized value of the population mean difference. In fact, the formula for calculating the t statistic is the same in both cases.

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Answer:

area = l x 5l + 2

Step-by-step explanation:

area equals length times 5 times the length plus two

The expression for the area will be equal to x(5x + 2).

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Flowerbed A has length x feet and width that is two feet more than five times its length

Lenght = x

width = 5x + 2

Area =  L x W

Area = x ( 5x + 2 )

Area = 5x² + 2x

Therefore, the expression for the area will be equal to x(5x + 2).

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Answer:

41/20

Step-by-step explanation:

or 2 1/20

Answer:

A byte is 8 bits.

Hello !

Answer:

\(\boxed{\sf V{cone} \approx 2408.55 m^3}\)

Step-by-step explanation:

To find the volume of a cone with the radius of its base and its height, we will apply the following formula:

\( \sf V{cone} = \dfrac{\pi \times r^2 \times h}{3} \)

Where r is the radius of its base and h is its height.

Given:

Let's substitute our values into the formula:

\(\sf V{cone} = \dfrac{\pi (10)^2(23)}{3} = \dfrac{2300\pi}{3} \ \ \\\boxed{\sf V{cone} \approx 2408.55 m^3}\)

Have a nice day ;)

Answer:

g = \(\frac{4}{3}\)

Step-by-step explanation:

4 - \(\frac{1}{12}\) g - 2 = \(\frac{3}{2}\) g + 1 - \(\frac{5}{6}\) g

multiply through by 12 ( the LCM of 12, 2 and 6 ) to clear the fractions

48 - g - 24 = 18g + 12 - 10g

- g + 24 = 8g + 12 ( subtract 8g from both sides )

- 9g + 24 = 12 ( subtract 24 from both sides )

- 9g = - 12 ( divide both sides by - 9 )

g = \(\frac{-12}{-9}\) = \(\frac{12}{9}\) = \(\frac{4}{3}\)

If the contribution margin from the order is greater than the additional fixed expenses, accepting the special order can result in an increase in operating income.

When evaluating a special sales order, the first step is to calculate the revenue from the order. This is typically based on the selling price and the quantity of units to be sold. Then, the variable expenses directly associated with fulfilling the order, such as direct materials, direct labor, and variable manufacturing overhead, are deducted from the revenue to determine the contribution margin.

Next, the additional fixed expenses that would be incurred if the special order is accepted need to be considered. These expenses are typically costs that are directly related to the production or fulfillment of the order and are not already included in the existing fixed expenses.

To assess the impact of the special order on operating income, the increase (or decrease) in operating income is calculated by subtracting the additional fixed expenses from the contribution margin. If the result is positive, it indicates that accepting the special order would lead to an increase in operating income.

In the given scenario, it is mentioned that Cotton has excess capacity to manufacture the special order. If the incremental analysis shows that the special order would result in a positive increase in operating income, it would be beneficial for Cotton to accept the special sales order.

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Answer:

umm???????????? let me try doin it

Answer:

\( \boxed{\sf Surface \ area \ of \ a \ solid \ sphere = 616 \ cm^{2}} \)

Given:

Diameter of a solid sphere = 14 cm

To Find:

Surface area of a solid sphere

Step-by-step explanation:

\(\sf Radius \: (r) = \frac{Diameter}{2} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \ \ \ \ = \frac{14}{2} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \ \ \ \ = 7 \: cm\)

\(\sf Surface \ area \ of \ solid \ sphere = 4\pi r^{2} \\ \\ \sf \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 4 \times \frac{22}{7} \times {(7)}^{2} \\ \\ \sf \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 4 \times \frac{22}{ \cancel{7}} \times \cancel{7} \times 7 \\ \\ \sf \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 4 \times 22 \times 7 \\ \\ \sf \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 88 \times 7 \\ \\ \sf \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 616 \: {cm}^{2} \)

Expanding the matrix multiplication, we have k + 1 + 0 = 0, k + 2 = 2, 3 = -3, and k + 5 = 0. However, the equation 3 = -3 has no solution.

Let's calculate the matrix multiplication on the left-hand side of the equation. Expanding the multiplication, we obtain:

[k + 1 + 0] [k + 0 + 2] [1] = [0 2 -3]

[1 + 0 + 2] [k + 1 + 4] [1]

Simplifying, we have:

[k + 1] [k + 2] [1] = [0 2 -3]

[3] [k + 5] [1]

To determine if there are values of k that satisfy the equation, we compare the corresponding entries on both sides. From the first row, we have k + 1 = 0 and k + 2 = 2. Solving these equations gives k = -1 and k = 0, respectively.

However, when we consider the second row, we have 3 = -3, which has no solution. Therefore, there are no values of k that satisfy the given equation. This means that the equation [1 1 0] [k] [k 1 1] [1 0 2] [1] = 0 [0 2 -3] [1] has no solution.

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To solve this problem, let's assume the speed of the current is "x" mph. When the boat is traveling upstream (against the current), its effective speed is reduced by the speed of the current. Therefore, the speed of the boat relative to the water is 11 - x mph.

When the boat is traveling downstream (with the current), its effective speed is increased by the speed of the current. Therefore, the speed of the boat relative to the water is 11 + x mph.

Now, let's calculate the time taken for each leg of the journey:

Time taken to go 40 miles upstream = Distance / Speed
Time taken to go 40 miles upstream = 40 / (11 - x) hours

Time taken to go 70 miles downstream = Distance / Speed
Time taken to go 70 miles downstream = 70 / (11 + x) hours

According to the problem, these times are equal. So, we can set up the equation:

40 / (11 - x) = 70 / (11 + x)

To solve this equation, we can cross-multiply:

40 * (11 + x) = 70 * (11 - x)

440 + 40x = 770 - 70x

Now, let's solve for x:

110x = 330

x = 3

Therefore, the speed of the current is 3 mph.

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The formula to find the side of a geometric shape depends on the shape itself. Few details like area or perimeter of a shape or surface area or volume of a solid with few other parameters should be known.

Few examples :

For a square, the formula to find the side (s) is:

s = √(A)

where A is the area of the square.

For a rectangle, the formula to find the length (l) and width (w) are:

l = A/w and w = A/l

where A is the area of the rectangle.

For a triangle, the formula to find the base (b) and height (h) are:

A = (b*h)/2

where A is the area of the triangle.

For a cube, the formula to find the side (s) is:

V = s^3

where V is the volume of the cube.

Keep in mind that these are a few examples of formulas that can be used to find the side of a geometric shape. Depending on the specific problem, different formulas may be required.

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The length of one side of the sandbox is 7y4 - 13x3 inches. To find the length of one side of a regular pentagon, we divide the perimeter by the number of sides (pentagon has 5 sides).

The given perimeter is 35y4 - 65x3 inches. So, the length of one side is (35y4 - 65x3) / 5 = 7y4 - 13x3 inches. In a regular pentagon, all sides are equal in length, and the sum of all interior angles is 540 degrees. However, this information is not needed to determine the length of one side in this specific problem.

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QUESTION:

Joan is building a sandbox in the shape of a regular pentagon. The perimeter of the pentagon is 35y4 – 65x3 inches. What is the length of one side of the sandbox?

5y – 9 inches

5\(y^{4}\) – 9\(x^{3}\) inches

7y – 13 inches

7\(y^{4}\) – 13\(x^{3}\) inches

Answer:

30

Step-by-step explanation:

yes I can tell what it is

The value of x that will make the two triangles similar by the SSS similarity theorem is: C. 30.

According to the SSS similarity theorem, if all the three corresponding sides of two triangles are proportional or have the same ratio, then both triangles are similar.

If the two triangles are similar we would have:

75/50 = 45/x

Cross multiply and find x

x = (45 × 50)/75

x = 30

Thus, the value of x would be: C. 30.

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The least number of distinct values that can occur in the list is 225.

The value that appears the most frequently in a data collection when it is unique is known as the mode, and like the median and mean, it can be used to measure central tendency. However, occasionally there is either no mode or more than one mode. When every observed value occurs exactly once in a data collection, there is no mode.

The mode appears 10 times. That leaves 2008 numbers.

The least number of distinct values will occur if all but one of the remaining values appears 9 times

= 2008/9

=223 1/9.

So, The list can include a maximum of 225 distinct values, with the mode appearing 10 times, 223 other values nine times, and the last value once.

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you will need 7 cups of sugar. 35 divided by 5 is 7.

Answer: You will need 7 cups of sugar.

Step-by-step explanation:

For every 5 eggs, you add one cup of sugar. 35 eggs divided by 5 eggs = 7 cups of sugar.

Answer:

a) It would have taken 1 person 14 days to do this amount of work.

b) It would take 1 person 56 days to finish building this house extension.

We know that 1 person can build a house extension in 70 days. This means that in 1 day, 1 person can do 1/70 of the work. In 7 days, 2 people can do 2 * 7 * 1/70 = 2/10 of the work. This means that 1 person can do 1/10 of the work in 7 days. To finish the remaining 8/10 of the work, 1 person would need 7 * 8 = 56 days.

Step-by-step explanation:

The area of the triangle is 31.54 square units

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

We have the following values

a = 7 units

c = 11 units

B = 55 degrees

The area of the triangle is calculated using the following area formula

Area = 1/2absin(C)

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * 7 * 11 * sin(55 degrees)

Evaluate

Area = 31.54

Hence, the area is 31.54 square units

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Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

6 months=26 weeks

=>26x18=468

Answer:

t = 12

Step-by-step explanation:

2t+6=3t-6

Subtract 2t from each side

2t-2t+6=3t-2t-6

6 =t -6

Add 6 to each side

6+6 = t-6+6

12 = t

Answer:

t = 12

Step-by-step explanation:

Goal : move all the "t" terms to one side and all the constants to the other side.

2t+6=3t-6     (subtract 6 from both sides)

2t = 3t - 6 - 6

2t = 3t -12   (subtract 3t from both sides)

2t - 3t = -12

-t = -12   (multiply both sides by -1)

t = 12

Answer:

a  c   d

Step-by-step explanation:

Answer:

ACD

Step-by-step explanation:

After 16 months, the amount of money in the account should be approximately $861.33.

To calculate the total amount in the account after 16 months with a 1% interest rate, we need to apply the formula for compound interest: A = P(1 + r)^t, where A is the final amount, P is the principal amount, r is the interest rate, and t is the time period.

In this case, you invest $850 as the principal amount with an interest rate of 1% (or 0.01 as a decimal). The money will be kept in the account for 16 months, so t = 16/12 = 4/3 years (since there are 12 months in a year).

Substituting the given values into the compound interest formula, we have:

A = $850(1 + 0.01)^(4/3)

Simplifying the exponent:

A = $850(1.01)^(4/3)

Evaluating the exponent:

A = $850(1.01005)

Multiplying:

A ≈ $861.33

after 16 months, the amount of money in the account should be approximately $861.33.

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