Given m\parallel nm∥n, find the value of x and y.
m
n
(6x+19)°
(3x+8)°
(2y+1)

3 7/9

Step-by-step explanation:

34/9

= 34 ÷ 9 = 3 remain 7

= 34 = 9 × 3 + 7

so

34/9

= 3 7/9

Answer:

34/9 is already in it's simplest form but can be written as a decimal:  3.777778

Step-by-step explanation:

1. Find the HCF of both numbers which is 1

2. Divide them both by the HCF

3. 34/1 = 34

4. 9/1 = 9

5. Therefore there is no simpler fraction but you can write it as a decimal.

The value of x is 21.68

We can use trigonometric ratios to calculate the required value.

cos θ = adjacent / hypotenuse

From the figure we know that,

Let us consider adjacent as 17.3 and hypotenuse as x.

Therefore,

cos θ = 17.3/x

cos 24° = 17.3/x

By further calculation, we get

x = 17.3/cos 37°

x = 17.3/0.798

So we get:

x = 21.68

The value of x is 21.68

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Answer:

x=21.7

Step-by-step explanation:

View the image attached

The p-value associated with the test statistic calculated to test the claim that less than 40% of the county residents are protected by earthquake insurance is 0.42

The term p - value is defined as a statistical measurement used to validate a hypothesis against observed data.

Here we have given that a survey revealed that only 133 of 337 randomly selected residences in one California county were protected by earthquake insurance.

Then the Null hypothesis for the given situation is written as,

=> H0 = p => 0.40

And the Alternative hypothesis is written as

=> H1 = p <0 .40

Then the value of za is calculated as,

=> za = 133/137

=> za = 0.39

Now by  using a formula for a binomial proportion one-sample z-test with your data included, we have

=> z = 0.39 - 0.40

Then the test value is calculated as

=> (0.39 - 0.40)/√[(0.40)(0.60)/337]

Therefore, the value of P-value is 0.42.

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So the angle measure for ∠L is 22.5° when two parallel lines cut by a transversal.

In geometry, a transversal is a line that intersects two or more other lines in a plane. When a transversal intersects two parallel lines, it creates a series of corresponding angles, alternate angles, and interior angles, which have specific relationships and properties.

Here,

Since lines a and b are parallel, we know that alternate interior angles are congruent. Therefore, we have:

∠F = ∠L + 180° - 135°

Simplifying this expression, we get:

∠F = ∠L + 45°

Substituting the value of ∠F as 67.5°, we can solve for ∠L:

67.5° = ∠L + 45°

22.5° = ∠L

The relationship between ∠F and ∠L is that they are supplementary angles, meaning they add up to 180°. This is because they are on opposite sides of the transversal and both intersect with the same parallel lines a and b.

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Complete question:

Two parallel lines cut by a transversal. For our safety, it is important that drivers recognize a stop sign immediately. Stop signs are made with exact side and angle measurements to form a regular octagon. They are red so they are easy to see. The three lines drawn below are straight lines. Lines a and b are parallel. a) The stop sign is a regular octagon, so the measure of ∠F must be 67.5°. What is the angle measure for ∠L? Describe the relationship between ∠F and ∠L. (1 point)

According to the output analysis, the model presented above is of Discrete-event simulation (DES) type.

What is Discrete-event simulation (DES)?

Discrete-event simulation (DES) is indeed a type of computer-based simulation where events occur at specific points in time. In DES, a system's behavior is modeled by specifying the sequence of events that occur during the system's lifespan.

In a discrete-event simulation, the state of the system changes only when events occur, rather than continuously evolving over time. Events represent significant occurrences or activities within the system, such as customer arrivals, service completions, or resource allocations. Each event is associated with a specific time or occurrence point, and the simulation progresses by processing events in chronological order.

DES is particularly useful for modeling complex systems where the timing of events and their interactions play a crucial role. It allows for capturing the dynamic nature of the system, simulating the flow of entities (such as customers, vehicles, or messages) through the system, and observing the effects of event sequencing and resource allocation on system performance.

By simulating the system and observing the events and their consequences, DES enables analysts to evaluate different scenarios, study the impact of various parameters, and optimize system design or operation. It provides insights into system performance measures, such as throughput, waiting times, resource utilization, or customer satisfaction.

Overall, discrete-event simulation is a powerful technique for modeling and analyzing complex systems with discrete changes, events, and interactions over time.

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The model above is known as a discrete-event simulation model according to the output analysis.

A discrete event simulation is a type of computer-based modeling where a series of discrete events in a system are simulated.

In such models, the system under consideration evolves through a series of discrete events that are instantaneous.

For example, in the retail establishment model, each customer arriving at the store would be considered a separate, discrete event.

The simulation would model the sequence of events that occur between the time the store opens at 9 am and when the last customer leaves before closing time at 5 pm.

The objective of the simulation would be to estimate some measure of the quality of customer service during this time period.

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An equation is a mathematical statement showing the equality of two

opposite variables

How to determine the equation of the circle using coordinates?

The equation of a circle is determined by the function r²=(x-x1)² +(y-y1)²

where :

then, the last thing is to write the equation of the circle and input the values of the coordinates to arrive at your answer,

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The given series, ∑ (n = 1 to ∞) sqrt(2)^n, is divergent.

To determine the convergence or divergence of the series, we need to analyze the behavior of the general term. In this case, the general term is given by n√(2n).

We can use the limit comparison test to examine the convergence of the series. Let's consider the series ∑n√(2n) and compare it with a known series that has a known convergence behavior. We'll choose the harmonic series ∑1/n as our comparison series.

By taking the limit of the ratio of the two series as n approaches infinity, we have:

lim(n→∞) (n√(2n))/(1/n)

Applying algebraic simplification and simplifying the expression inside the limit, we get:

lim(n→∞) (n√(2n))/(1/n) = lim(n→∞) (n√(2n)) * (n/1)

                                    = lim(n→∞) n^2 * √(2n)

                                    = lim(n→∞) √(2n^3)

Now, as n approaches infinity, √(2n^3) also approaches infinity. Thus, the limit of the ratio is infinity.

According to the limit comparison test, if the limit of the ratio is a positive finite number, the two series have the same convergence behavior. If the limit is zero, the series are both convergent or both divergent. However, if the limit is infinity, the series diverge.

In this case, the limit is infinity, indicating that the series ∑n√(2n) diverges. Therefore, the given series is divergent.

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To obtain the residuals from the fit in 8.4a and plot them against y and x, as well as prepare a normal plot, we need the specific details of the fit and the data used.

WE know that residuals represent the differences between the observed values and the predicted values from a statistical model or regression analysis.

Since the residuals against y and x can help identify patterns or trends in the data that may indicate issues with the model's fit.

A normal plot, known as a Q-Q plot, compares the distribution of the residuals to a theoretical normal distribution. If the residuals closely follow a straight line in the normal plot, the residuals are normally distributed, which is an assumption of many statistical models.

Interpreting these plots involves examining the patterns and deviations from expected behavior. If the residuals exhibit a consistent pattern, it might indicate that the model does not capture all the relevant information in the data.

Thus if the residuals appear randomly scattered around zero with no discernible pattern, it suggests that the model adequately explains the data. Deviations in the normal plot may indicate departures from the assumption of normality in the residuals, which could impact the reliability of statistical inferences.

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(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

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Answer: Please press the thanks button and rate 5 stars

Step-by-step explanation:We can use the point-slope form of a linear equation to write the equation of the line that passes through the point (2,-1) with slope m = -1. The point-slope form is:

y - y1 = m(x - x1)

where (x1, y1) is the given point, and m is the slope. Plugging in the values we have:

y - (-1) = -1(x - 2)

Simplifying and solving for y, we get:

y + 1 = -x + 2

y = -x + 1

Therefore, the equation of the line that passes through (2,-1) with slope m = -1 is y = -x + 1.

The equation that represents the deer population after "n" years is p = 10(2^n). No given option is correct.

This equation takes the initial population of 10 and multiplies it by 2 raised to the power of "n," which represents the number of years. As the population doubles every year, we need to use exponential growth to calculate the population at any given year.

Option A (p = 10(2)') and option B (p = 2(10)') are incorrect because they do not properly account for the exponential growth of the population. Option C (+ = 10 2D + = 2(10)) is also incorrect as it is not a valid equation and does not make sense in the context of the problem. Therefore, the correct equation is p = 10(2^n). No given option is correct.

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Answer:

\(\approx\) 57 gallons

Step-by-step explanation:

Given:

Silo needs to be painted.

Height of silo = 80 feet

Diameter of silo = 20 feet

One gallon of paint covers 100 sq ft

To find:

Gallons of Paint required to paint the outside of silo = ?

Solution:

We need to first calculate the lateral surface area(LSA) of this cylinder shaped silo.

\(LSA = 2\pi rh\)

where r is the radius and

h is the height of cylinder.

\(r = \dfrac{Diameter}2\\\Rightarrow r = 10\ ft\)

Putting the values in formula:

\(LSA = 2\times 3.14\times 10\times 80\\\Rightarrow LSA = 5024\ sq \ ft\)

Total surface area of cylinder = LSA + 2 \(\times\) Area of base

Total surface area of cylinder = LSA + 2 \(\times\) \(\pi r^{2}\)

TSA = \(5024 +2 \times 3.14 \times 10^2 = 5024 +628=5652\ sq \ ft\)

100 sq ft requires number of gallons = 1

5652 sq ft requires number of gallons:

\(\dfrac{1}{100} \times 5652 \approx 57\ gallons\)

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 24m

The statement

The length is 30 m less than five times the width is written as

l = 5w - 30

Substitute the expression into the above formula and solve for the width

That's

24 = 2( 5w - 30) + 2w

24 = 10w - 60 + 2w

84 = 12w

Divide both sides by 12

w = 7

Substitute this value into l = 5w - 30

That's

l = 5(7) - 30

l = 35 - 30

l = 5

Therefore the dimensions are

width = 7 m

length = 5 m

Hope this helps you

Answer:

42.40705%

Step-by-step explanation:

(1 - (23/100)^(19/9) = 1 + r/100

0.57593 = 1 + r/100

r = 42.40705%

Answer:

350

Step-by-step explanation:

in every 140 calories there is 8 ounces

what about in 20 ounce of drink

140 calories ___8 ounce

? 20 ounce

140×20 =2800÷8=350

The relationship of the given angles are:

1. A. Adjacent

2. B. vertical

3. B. vertical

4. E. linear pair

5. C. complementary

6. D. supplementary

7. C. complementary

8. A. adjacent

9. A. adjacent

10. D. supplementary

11. A. adjacent

12. C. complementary.

Different pairs of angles are related to each other in several ways. The explanation below shows the relationship between the given angles.

1. Angles 2 and 3 share a common vertex and a common side, therefore:

<2 and <3 are: A> Adjacent

2. <3 and <4 are non-adjacent angles that share a common vertex and are opposite each other. Thus:

<3 and <4 are: B. vertical

3. <1 and <3 are: B. vertical

4. <1 and <2 lie on a straight line and are adjacent to each other. Therefore, they are a: linear pair

5. 78 + 12 = 90 degrees. Therefore, their relationship is that they are: C. complementary

6. 123 + 57 = 180. Therefore, they are: D. supplementary

7. Angles a and b form a right angle. Therefore, they are: C. complementary

8. <1 and <2 are: adjacent

9. <3 and <4 are: A. adjacent

10. 90 + 90 = 180, therefore, the angles are: D. supplementary

11. Both angles are: A. adjacent

12. 40 + 50 = 90 degrees. Therefore, the angles are: C. complementary.

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Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

dudjeisosidheis9sjdhxisjdgskkjehud

Answer:

\({ \tt{f(x) = 2}} \\ when \: y = 2 \\ { \bf{x = - 0.5}}\)

Answer:

30 feet is represented by 3 3/4 inches on the drawing

Step-by-step explanation:

We have the relation as;

1 inch = 8 feet

Thus;

3 3/4 inches = x feet

x = 3 3/4 * 8

x = 15/4 * 8

x = 30 feet

Answer:

22.3 x 1.8 = 40.14

Step-by-step explanation:

22.3

x  1.8  

________

1784

2230

________

40.14

Answer:

40.14

Step-by-step explanation:

22.3

× 1.8  ← Forget about the decimal places and multiply by the one's place.

1 7 8 4

2 2 3 0 ← Put a 0 to hold the one's place and multiply 223 by ten's place.

4 0 . 1 4 ← Add those 2 numbers and keep 2 decimal places.

The decimal which represents the fraction of the people who vote for kiwi among all 9 people is 1/9 it's 0.1111111.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

As per the given,

Number of people who vote on their favorite fruit = 9

Number of people who vote for kiwi = 1

The fraction of person vote kiwi to vote on their favorite fruit = 1/9

In decimal form 1/9 =  0.1111111.

Hence "The decimal which represents the fraction of the people who vote for kiwi among all 9 people is 1/9 it's 0.1111111".

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Answer:

Step-by-step explanation:

Column 2 = Column 1 * Column 3

log(x) - log(6) = 2 log(4)

Condense the left side, using the property log(a) - log(b) = log(a/b) (if b ≠ 0):

log(x / 6) = 2 log(4)

Rewrite the right side, using the property n log(a) = log(aⁿ ):

log(x / 6) = log(4²)

log(x / 6) = log(16)

Cancel the logarithms (i.e. take the exponential of both sides):

exp(log(x / 6)) = exp(log(16))

x / 6 = 16

Solve for x :

x = 6 × 16

x = 96

The height of the building after using proportion is  110.5 ft.

What is proportion ?

The main conceptual underpinnings on which proportion is described are ratio and fractions. When two ratios are written as a fraction using the formula a/b, ratio a:b, and then a proportion, they are equal. A and b in this situation can be any two integers. For grasping the myriad concepts in science and mathematics, the ratio and proportion are crucial constructing elements. With the right amount of proportion, a variety of problems in daily life, such as those encountered in the kitchen or in business when processing transactions, can be resolved. It facilitates comparison by establishing a relationship between two or more quantities.

Here House height = 13ft

Shadow of the house height = 20 ft

Shadow of the building height = 170ft

Noe using proportion ,

=> \(\frac{House height}{shadow of the house} = \frac{building height}{shadow of the building}\)

=> \(\frac{13}{20} = \frac{x}{170}\)

=> x=\(\frac{13*170}{20}\) =110.5 ft.

Hence the height of the building is 110.5 ft tall.

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The length of the sides of the rhombus JKLM is 12 units.

A rhombus is one of parallelograms. The opposite sides of a rhombus are parallel, and the opposite angles are equal. Furthermore, all of the sides of a rhombus are the same length, and the diagonals intersect at right angles.

In the problem, the sides of rhombus JKLM are:

JK = 2x + 4

JM = 3x

Since the length all of the sides of a rhombus are the same, then:

JM = JK

3x = 2x + 4

Substract both sides by 2x:

3x - 2x = 2x + 4 - 2x

x = 4

To find the length of a side, substitute x = 4 into:

JM = 3x

JM = 3(4) = 12

Hence, the length of the sides of the given rhombus is 12.

The picture in your question is missing. Most likely it was like on the attached picture.

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Answer:

12

Step-by-step explanation:

JK = JM

2x + 4 = 3x

x = 4

JK = JM = 3 x 4 = 12

Answer:

3

Step-by-step explanation:

Add Playstion and the membership

399+10.95=409.95

cost of membership and playstation subtracted from the total

619.92-409.95=209.97

add cost of game and insurance

59.99+10=69.99

Divide the total after the membership and the playstation is subtracted from the total

209.97/69.99=3

Darrius bough three games