A swiming pool has a perimeter of 72 feet.
The short sides measure 16 feet. What is the length of the longer sides of the pool

The equation of a polar graph with 12 petals with a point at r comma theta equals 4 comma 3pi over 4 that represents the given polar graph is `r = 4sin(6θ)`.

Given that a polar graph is shown with 12 petals with a point at r, θ = 4, (3π/4).

To determine which equation represents the graph, we need to look at the features of the polar graph.

A polar graph can be expressed in terms of r and θ.

Let's recall the features of the polar graph with 12 petals:

The polar graph with 12 petals is of the form r = a sin (12θ) or r = a cos (12θ).

It has 12 petal-shaped lobes, which are formed by the function cos (12θ) or sin (12θ).

The graphs of r = a sin (12θ) and r = a cos (12θ) are symmetrical about the polar axis (θ = 0),

While r = a sin (6θ) and r = a cos (6θ) are symmetrical about the line θ = π/12.

Thus, the equation of the graph in the given polar graph is r = 4sin (6θ).

The polar graph is `r = 4sin(6θ)`.

For more related questions on polar graph:

https://brainly.com/question/33512613

#SPJ8

If a advertised sofa is $200 but the more costly sofa is $375, the average cost of such a sofa will be $200 is $243.75.

You're planning to purchase a sofa from a furniture store that is having a sale on them.

Let x represent the sofa's price.

Advertised sofa's cost = $200

Expensive sofa's cost = $375

The advertisers are aware that when customers arrive at the store, one out of three switch to an expensive sofa that the one shown in the sale advertisement.

Average cost = 375 x 1/4 + 200 x 3/4

E(x) = 375 x 1/4 + 200 x 3/4

E(x) = 93.75 + 150

E(x) = 243.75

Thus, if a advertised sofa is $200 but the more costly sofa is $375, the average cost of such a sofa will be $200 is $243.75.

To know more about the mean average , here

https://brainly.com/question/20118982

#SPJ4

The value of principal payment is $97.26

To calculate the amount that goes toward the principal when making the minimum payment at the end of the first month, we need to subtract the interest portion from the minimum payment.

First, let's calculate the interest charged for the month. The interest can be calculated using the formula:

Interest = Principal * Monthly Interest Rate

where:

Principal = $958.62

Monthly Interest Rate = Annual Percentage Rate (APR) / 12

Annual Percentage Rate (APR) = 9.7%

Monthly Interest Rate = 0.097 / 12

Now, let's calculate the interest charged:

Interest = $958.62 * (0.097 / 12)

= $7.75

Next, we subtract the interest charged from the minimum payment to find the amount that goes toward the principal:

Principal Payment = Minimum Payment - Interest

Finally, we calculate the amount that goes toward the principal:

Principal Payment = $105.0 - (7.74)

= $ 97.26

Hence, the value of principal payment is $97.26

Learn more about Principal Payment here

https://brainly.com/question/3582556

#SPJ4

Answer: $51.48

Step-by-step explanation:

If a $52 item is marked up by 10%, its new price will be:

$52 + 10% of $52 = $52 + $5.20 = $57.20

Then, if this new price is marked down by 10%, the final price will be:

$57.20 - 10% of $57.20 = $57.20 - $5.72 = $51.48

Therefore, the final price of the item after the markup and markdown is $51.48.

Answer: -2x + 12/5

Step-by-step explanation:

The expression is equivalent is 6x/4 + 24y/12

Algebraic expressions are described as expressions composed of variables, terms, factors, constants, and coefficients.

These expressions also consisting of mathematical operations, such as;

Given the expression;

1/4(3x+4y) + 3(1/4x+ 2/3y)

expand the bracket

3x/4 + 4y/4 + 3/4x + 3/3y

collect like terms

3x/4 + 3/4x + 4y/4 + 3/3y

add like terms

3x + 3x/4 +  12y + 12y /12

add the numerators

6x/4 + 24y/12

Hence, the expression is 6x/4 + 24y/12

Learn more about algebraic expression here:

https://brainly.com/question/4344214

#SPJ1

Answer:

6- -8 = 6+8 = 14

a) -6+8= 2

b) -6+-8= -14

c) 6+-8= -2

d) 6+8= 14

so the answer is D.

bcz 2 minus is equal to 1 plus.

Answer:

6+8

Step-by-step explanation:

easy?

Answer:

158400 inches

Step-by-step explanation:

2.5* 5280 because 2.5 miles is 13200 feet.

13200*12 because 13200 feet is 158400 inches.

The answer would be 158400 inches.

Answer:63456

Step-by-step explanation:

5280*12=63456

Answer:

\(\dfrac{c}{2}\)

Step-by-step explanation:

We can simplify the given expression by canceling like terms.

Remember that anything divided by itself is 1.

ex:

\(\dfrac{2x}{x} = 2 \cdot \dfrac{x}{x} = 2 \cdot 1 = 2\)

Applying this logic to the given expression:

\(\dfrac{a}{2b} \cdot \dfrac{bc}{a}\)

↓ simplify multiplication of fractions

\(\dfrac{a \cdot bc}{2b \cdot a}\)

↓ rewrite to align like variables

\(\dfrac{a \cdot b \cdot c}{a \cdot b \cdot 2}\)

↓ separate out variables that are divided by each other

\(\dfrac{a}{a} \cdot \dfrac{b}{b} \cdot \dfrac{c}{2}\)

↓ represent them as 1

\(1 \cdot 1 \cdot \dfrac{c}{2}\)

↓ rewrite without unnecessary 1's

\(\dfrac{c}{2}\)

In the given scenario, where there is one infinitely long track and overtaking is impossible, the initial situation consists of three equally spaced trains, each moving at a different speed. The trains have the capability to link up when one catches up to the other, resulting in a single train moving at the speed of the slower train.

As the trains move, they will eventually reach a configuration where the fastest train catches up to the middle train. At this point, the fastest train will link up with the middle train, forming a single train moving at the speed of the middle train. The remaining train, which was initially the slowest, continues to move independently at its original speed. Over time, the process continues as the new single train formed by the fastest and middle trains catches up to the remaining train. Once again, they link up, forming a single train moving at the speed of the remaining train. This process repeats until all the trains eventually merge into a single train moving at the speed of the initially slowest train. In summary, on this strange railway line, where trains can only link up and cannot overtake, the initial configuration of three equally spaced trains results in a sequence of mergers where the trains progressively combine to form a single train moving at the speed of the initially slowest train.

Learn more about speed here:

https://brainly.com/question/13263542

#SPJ11

A random selection of an Endure All battery has a 10.56% probability of lasting more than 550 hours.

The Z score is utilized to calculate how far the raw score deviates from the mean.

The Z score is calculated as follows:

z = (x - μ)/σ

Given that x > 550 and μ = 500, σ = 40:

z = 550 - 500 / 40

z = 1.25

Following the normal distribution chart,

P(z > 1.25) = 1 - P(z < 1.25)

P(z > 1.25) = 1 - 0.8944

P(z > 1.25) = 0.1056

Therefore, there is a 10.56% chance that a randomly chosen Endure All battery would survive longer than 550 hours.

To know more about the z score, here

https://brainly.com/question/21781956

#SPJ4

To do content analysis on the characteristics people seek in a partner by examining the personals section of three newspapers the unit of analysis will be objective of the section.

Given that we are interested in doing content analysis on the characteristis people seek in a partner by examining the personals section of three newspaper.

Content analysis is basically a research tool used to determine the presence of certain words, themes,or concepts within some given qualitative data. Using content analysis, a researchers can quantify and analye the presence meanings and relationships of such certain words, themes and concepts.

When we are required to do content analysis by examining the personals section of three newspapers, its units can be objective of section. Some part is related to matrimonials, some are for rent,etc.and some are for commercial advertisements.

Hence the unit of analysis is objective of the section.

Learn more about content analysis at https://brainly.com/question/890849

#SPJ4

Answer:

True, making multiplication a game can motivate children to learn.

The distance traveled in the first 5.2 seconds when the speed dropped from the rest as v(t) = 9.8t is equal to 132.496 meters.

'v' is the speed of the object in meter per second

't' is the time in seconds.

Speed dropped from rest 'v(t) = 9.8t '

Distance traveled in the first 5.2 seconds is equal to

= \(\int_{0}^{5.2}\)9.8t dt

= ( 9.8 / 2 )t² \(|_{0}^{5.2}\)

Substitute the lower and upper limit to get the required distance we have,

= 4.9 [ ( 5.2)² - 0² ]

= 4.9 × 27.04

= 132.496 meters

Therefore, the distance traveled for the given first 5.2 seconds is equal to 132.496 meters.

Learn more about distance here

brainly.com/question/15172156

#SPJ4

The above question is incomplete, the complete question is:

Free fall the speed v of an object dropped from rest is given by v(t)=9.8t where v is meters per second and time 't' is in seconds.

(a) Express the distance traveled in the first 5.2 seconds as an integral.

Answer:

you're wrong

Step-by-step explanation:

should have been "Why are all the answers on this website saying my work is wrong?"

Answer:

12

Step-by-step explanation:

2+4=6

6*2=12

Answer: 12

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Don has four different chicken coops on his farm. He gathers eggs from each coop every day to sell at the local farmer's market each week. During one week in the summer, the production levels from the coops were compared. • The number of eggs from coop B can be found by subtracting 10 from coop A's production, and then multiplying this result by two-fifths. • The number of eggs from coop C can be found by adding 3 to coop A's production, multiplying this amount by 3, subtracting 4 from this total, and then dividing the whole result by 4. • The number of eggs from coop D can be found by adding 7 to coop A's production, doubling this amount and then dividing the result by 3. A. Define a variable for the number of eggs produced by coop A. Then write expressions for the number of eggs produced by the other coops. B. If coop A produced 125 eggs, how many did each of the other coops produce? C. If the sum of the number of eggs from coop B and coop C was 24 more than the number from coop D. How many eggs did each coop produce

Solution:

a) Let the number of eggs from coop A be w, number of eggs from coop B be x, number of eggs from coop C be y and number of eggs from coop D be z.

x = 2/5(w - 10)             (1)

y = (3(w + 3) - 4)/4

y = (3w + 5) / 4            (2)

z = 2(w + 7)/3              (3)

b) Given that w = 125 eggs:

x = 2/5(125 - 10) = 46 eggs

y = (3(125) + 5) / 4 = 95 eggs        

z = 2(125 + 7)/3 = 88 eggs

c) x + y = z + 24.

i.e.  2/5(w - 10)  + (3w + 5)/ 4  = 2(w + 7)/3  + 24

multiply through by 60:

24w - 240 + 45w + 75 = 40w + 280 + 1440

69w - 165 = 40w + 1580

29w = 1885

w = 65 eggs

x = 2/5(65 - 10) = 22 eggs

y = (3(65) + 5) / 4 = 50 eggs        

z = 2(65 + 7)/3 = 48 eggs

The answer is Quantitative because quantitative data mainly deals with the statistic and figures.

As given, Comparing data collected on individuals’ sales and individuals’ attendance records would be an example of what type of data analysis?

Quantitative data analysis involves the use of numerical data to discover patterns and relationships. In the example of comparing individuals' sales and attendance records, the data collected would be numerical and would be analyzed to determine the relationship between sales and attendance. This type of analysis often involves statistical techniques such as regression analysis, correlation analysis, and hypothesis testing. The goal is to gain insights and make informed decisions based on the numerical data, rather than just describing or summarizing it.

Answer is Quantitative.

Reason- Quantitative data mainly deals with the statistic and figures.

Thus, the answer is Quantitative because quantitative data mainly deals with the statistic and figures.

To learn more about quantitative data analysis visit : brainly.com/question/14365405

#SPJ4

The answer is Quantitative because quantitative data mainly deals with statistic and figures.

As given, Comparing data collected on individuals’ sales and individuals’ attendance records would be an example of what type of data analysis?

Quantitative data analysis involves the use of numerical data to discover patterns and relationships. In the example of comparing individuals' sales and attendance records, the data collected would be numerical and would be analyzed to determine the relationship between sales and attendance. This type of analysis often involves statistical techniques such as regression analysis, correlation analysis, and hypothesis testing. The goal is to gain insights and make informed decisions based on the numerical data, rather than just describing or summarizing it.

Answer is Quantitative.

Reason- Quantitative data mainly deals with statistic and figures.

Thus, the answer is Quantitative because quantitative data mainly deals with statistic and figures.

To learn more about quantitative data analysis visit : brainly.com/question/14365405

#SPJ4

The above question is a mathematical proof of the relationship between Lines and angles related to a Rhombus. See the proof below.

We know,

A Rhombus is a parallelogram with four sides (that is a quadrilateral). It's sides however are all of equal length.

we have,

∠DEC ≅ ∠BFC  Reason = All Right Angles with Equal dimensions are congruent.

∠C ≅ ∠C  Reason = It is the same angle for the two Right angles above which are congruent, hence Reflexive Property.

Δ DEC ≅ Δ BFC  Reason = Angle Angle Side. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

 ≅   Reason = The corresponding parts of congruent triangles are congruent. Also, it is a parallelogram with all congruent sides.

ABCD is a Rhombus Reason = Its sides are all congruent.

Learn more about Rhombus at;

brainly.com/question/20627264

#SPJ1

complete question:

Given: ABCD is a parallelogram, FC is congruent to EC, DE bisects BC and BF bisects DC Prove: ABCD is a rhombus

Answer:

one pen costs 0.5 euros

one rubber costs 0.75 euros

Step-by-step explanation:

4p+5r=5.75

p+4r=3.5

  -4r.   -4r

p=3.5-4r

4(3.5-4r)+5r=5.75

14-16r+5r=5.75

14-11r=5.75

-14.     -14

-11r=-8.25

r=0.75

One rubber cost 0.75 euros

Now to find cost of one pen we just fill in what we know

p+4(0.75)=3.5

p+3=3.5

 -3.  -3

p=0.5

1 pen cost 0.5 euros

Hopes this helps please mark brainliest

1. The first statement is a universally quantified predicate that states for all x, either Px or Dx is true.

2. The second statement is the negation of Da, which means Da is false. From this, we can infer that Pa is true.

1. The first statement, (∀x)(Px v Dx), expresses that for all x, either Px or Dx is true. This means that every element x satisfies the condition of being either Px or Dx. It does not specify which elements satisfy Px or Dx, but it applies to all x universally.

2. The second statement, ~Da, indicates that Da is false. From the negation of Da, we can infer the truth of its negation, which is Pa. Therefore, we can conclude that Pa is true based on the given information.

By combining the conclusions from the two statements, we can deduce the following:

- (∀x)(Px v Dx) is true for all x.

- ~Da is true, which implies Pa is true.

However, there is no direct relation or implication between Pa and the statement GC / Hc. Without further information or logical connections, we cannot derive the conclusion Hc based solely on the given premises.

Learn more about negation here:

https://brainly.com/question/30426958

#SPJ11

Answer:

use the line segment instead

Answer:

Parallel lines have the same slope and will never intersect. Parallel lines continue, literally, forever without touching (assuming that these lines are on the same plane). On the other hand, the slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees.

Based on the context of the problem, the range of the exponential function y = \(45,529(0.78)^x\) is y > 0.

The exponential function for depreciation given in the problem is:

y = 45,529(0.78)^x

This function gives us the value of Sharlene's truck in dollars after x months of ownership, assuming that the depreciation follows a constant rate and is modeled by an exponential function.

To find the range of the function, we need to consider the minimum value that y can take. Since depreciation leads to a decrease in value over time, y should always be greater than zero. In other words, the range of the function is:

y > 0

In practical terms, this means that Sharlene's truck will always have some positive value, even if its market value has decreased due to depreciation. In other words, a truck is never worth zero or less than zero (unless it has additional debts associated with it), and Sharlene's truck will always have some resale or scrap value even if it has depreciated significantly.

For such more questions on exponential

https://brainly.com/question/30127596

#SPJ8

Answer:

Selling Price of the Book - $7.70

I believe that this is the answer

Step-by-step explanation:

We need to find what is 40% of 5.50.

40/100 x 5.50

After solving this, we will get 2.20

Now, the question is asking what is the selling price of the book will be after it is marked up. Marked up means an increase in price, and the increase in price is 40% of 5.50 which we have already found. All there is left for us to do is add 5.50 and 2.2. This will give us $7.70.

Answer:

x = 10.8

Step-by-step explanation:

9 ÷ x = x ÷ (9 + 4)

9 × (9 + 4) = x × x

9 × 13 = x²

117 = x²

x = 10.81665383

Answer:

is question correct

Answer:

2.80

Step-by-step explanation:

Answer= 2.8

Step-by-step explanation:

y+5.41=8.21

y= 8.21-5.41

y= 2.8