Before a renovation, a movie theater had 127 seats. After the renovation, the theater has 188 seats. What is the approximate percentage increase of the number of seats in the theater? If necessary, round to the nearest tenth of a percent.

The values of are;

1. angle WXU = 104°

2. angle XUV = 109°

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also sometimes called inscribed quadrilateral. The circle which consists of all the vertices of any polygon on its circumference is known as the circumcircle or circumscribed circle.

The sum of opposite in angle Ina cyclic quadrilateral is 180°

angle v = 152/2 = 76°

therefore angle XWV = 180-(76) = 104°

angle XUV = 180-71 = 109°

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The analysis of the number of runners, can be presented as follows;

a. The sequence is a geometric sequence

b. r(3) = 72, which indicates that the number of runners after the third week is 72

c. r(6)/r(5) = (2/3)

d. The recursive rule for r(w) is that the number of  runners in a week is (2/3) × The number of passengers in the previous week

A sequence is an ordered list of items.

The number of passengers currently in the  running club = 243

The amount by which the  number reduces each week =  2/3 the number in the previous week.

a. Therefore, the number of passengers each week can be presented as follows;

First week = 243

Second week = (2/3)  × 243 =  162

Third week = (2/3)³ ×  243

Therefore, the number  of runners in the nth week is; an= (2/3)ⁿ × 243, which is a geometric sequence

b. The number of runners in the wth week, r(w) =  2/3)^w × 243,

Therefore; r(3)  = (2/3)³ × 243  = 72

The meaning of the value is that the number of runners in the third  week, r(3) =  72 runners

c. r(6))/(r(5)) can be obtained as follows;

r(6) = (2/3)^6 × 243

r(5) = (2/3)^5 × 243

r(6)/r(5) = ((2/3)^6 × 243)/( (2/3)^5 × 243) = (2/3)

d. The recursive formula can be obtained as follows;

The number of passengers in a specified week =  (2/3) × The number of passengers in the previous week

r(w + 1) = (2/3)^w  ×  243

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The answer of the given table of key are:

For g(x) =csc(x), Domain: {x|x≠πn}, for any integer n

Range: (−∞,−1]∪[1,∞),{y|y≤−1,y≥1}

The collection of all potential inputs for a function is known as its domain. For instance, the domain of f(x)=x2 is all real numbers, whereas the domain of g(x)=1/x is all real numbers other than x=0.

A Function's Range includes all possible values for y. Y = f is the formula to determine a function's range (x). It is only a function in a relationship if each x value has exactly one y value.

For g(x) =csc(x), Domain: {x|x≠πn}, for any integer n

Range: (−∞,−1]∪[1,∞),{y|y≤−1,y≥1}

For f(x) = cos(x), Domain: (−∞,∞),{x|x∈R}

Range : [−1,1],{y|−1≤y≤1}

Amplitude : 1

Midline : y = 0

For f(x) = tan(x), Range: (−∞,∞),{y|y∈R}

Amplitude : None

Midline : Undefined

For g(x) = cot(x), Range : (−∞,∞),{y|y∈R}

Amplitude : None

Midline : Undefined

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According to the information, the best measure to describes the typical length of time that a tent will stay inflated is mean (average).

To identify the option that corresponds to the best measure to describes the typical length of time that a tend te stay inflated we have to analyze data and then we have to select the best option. In this case the most adequated measure is mean because it allow is to establish the average of time that a tent stay inflated. According to the above, this is the mean of the time that a tent will stay inflated

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The answer of the given question based on the addition of

((( 56)x)78)9)24 the answer is the  943488.

A expression is  combination of numbers, variables, and mathematical operations like addition, subtraction, multiplication, and division. It is  as simple as single number, variable or  combination of them, or it can be complex combination of various terms connected by mathematical operators. Expressions are used to represent the mathematical relationships, formulas, and calculations

To add the expression (((56)x)78)9)24, you would need to simplify it using the order of operations (PEMDAS):

First, simplify the innermost parentheses:

The expression (56)x evaluates to 56 times x.

The expression 78 with the result of (56)x in parentheses evaluates to 78 times the result of (56)x, or 78(56x).

The expression 9 with the result of the previous step in parentheses evaluates to 9 times the result of the previous step, or 9(78(56x)).

The expression 24 with the result of the previous step in parentheses evaluates to 24 times the result of the previous step, or 24(9(78(56x))).

Next, multiply from left to right to simplify further:

78 times 56 is 4368.

9 times 4368 is 39312.

24 times 39312 is 943488.

Therefore, the simplified value of the expression (((56)x)78)9)24 is 943488.

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Answer: 1.24

Step-by-step explanation:

40% abundance to decimal = 0.4

0.4 multiplied by 3.1 = 1.24

Answer:

1218

Step-by-step explanation:

because when you get to know that it will give you the answer

Answer:

Let's call the price of a student ticket "s" and the price of an adult ticket "a".

From the first day's sales, we know that:

3s + 1a = 38

From the second day's sales, we know that:

3s + 2a = 52

We can use these two equations to solve for "s" and "a".

First, we'll use the first equation to solve for "a":

3s + a = 38

a = 38 - 3s

Next, we'll substitute this expression for "a" into the second equation:

3s + 2(38 - 3s) = 52

Simplifying and solving for "s", we get:

3s + 76 - 6s = 52

-3s = -24

s = 8

So the price of a student ticket is $8.

We can substitute this value back into the first equation to solve for "a":

3(8) + a = 38

24 + a = 38

a = 14

So the price of an adult ticket is $14.

There are 29 terms of the sequence given which is even in tens place.

A number that is divisible by 2 and generates a remainder of 0 is called an even number.

Examples of even numbers are 2, 4, 6, 8, 10, etc.

Given that, the sequence 4²,5²,6²....39²,40² we need to find the terms that have an even digit in the tens place is​.

Finding the squares =

4² = 16, 5² = 25, 6² = 36, 7² = 49, 8² = 64, 9² = 81, 10² = 100, 11² = 121, 12² = 144, 13²= 169, 14² = 196, 15² = 225, 16² = 256, 17² = 289, 18² = 324, 19² = 361, 20² = 400, 21² = 441, 22² = 484, 23² = 529, 24² = 576, 25² = 625, 26² = 676, 27² = 729, 28² = 784, 29² = 841, 30² = 900, 31² = 961, 32² = 1024, 33² = 1089, 34² = 1156, 35² = 1225, 36² = 1296, 37² = 1369, 38² = 1444, 39² = 1521, 40² = 1600

The terms having even number in tens place,

5, 7, 8, 9, 10, 11, 12, 13, 15, 17, 18, 19, 10, 21, 22, 23, 25, 27, 28, 29, 30, 31, 32, 33, 35, 37, 38, 39 and 40

Hence, there are 29 terms of the sequence given which is even in tens place.

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The most likely distribution of the colors of candies in the bag before it was opened A. 250 red, 250 blue, 250 green, 125 yellow, and 125 orange.

Distribution is the process of making a product or service available for use or consumption by a consumer or business. It involves the movement of a product or service from the producer to the customer or end user. Distribution channels can include direct sales, wholesalers, retailers, online stores, or a combination of all of these. Distribution involves the coordination of activities related to the transfer of goods and services, including storage, shipping, return policies, and customer service. Distribution is a key element of the marketing mix, allowing companies to reach their target markets and meet customer needs.

This is the most likely distribution of the colors of candies in the bag before it was opened because it is the closest to the total number of candies that were in the bag to begin with: 1,000. This distribution has a total of 1,000 candies, which is the same as the amount of candies that were in the bag before it was opened.

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Answer:

77 ft long.

Step-by-step explanation:

Explanations are clearer in the photo I sent. These are actual photos I have had screen shot. Since, I even commented saying answer "50" is wrong and now this is the proof of a real answer.

The value of x is 33.6( nearest tenth)

The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

c² = a²+b²

represent the two sides of x by a and b

from the big triangle

b = √ 29² - 12²

b = √ 841 -144

b = √ 697

b = 26.4

from the small Triangle

a = √ 14²-12²

a = √ 196-144

a = √52

a = 7.2

x = a+b

x = 7.2+26.4

x = 33.6( nearest tenth)

therefore the value of x is 33.6

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Answer: 21

Step-by-step explanation:

A= b x h/2

6 x 7/2= 21

Airplane A traveled at a faster rate. The solution has been obtained by using speed-distance-time relationship.

Speed is calculated by dividing the distance traveled by the time needed to complete the journey. Distance and speed are intimately associated but time and speed are not.

We are given that Airplane A traveled 1662 miles in six hours.

We know that Speed = Distance / Time

Using this, we get

⇒Speed = 1662 / 6

⇒Speed = 277 miles per hour

We are given for Airplane B that y = 922/3x , where x represents its rate of speed over the same six hours

So, from this we get,

⇒Speed = (922/3) / 6

⇒Speed = 922 / 18

⇒Speed = 51.22 miles per hour

Hence, Airplane A traveled at a faster rate.

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None of the given options match this result, so the answer is none of the above.

What is ratio ?

A ratio is a quantitative comparison of two or more quantities or values, expressed as the quotient of one divided by the other. It is usually represented in the form of a fraction, using a colon, or by the word "to". For example, if there are 6 boys and 4 girls in a class, the ratio of boys to girls can be represented as 6:4, or 6/4, or 6 to 4. Ratios are often used to compare the relative sizes or amounts of two or more things, such as ingredients in a recipe, parts in a machine, or components in a financial statement.

The rate for a ratio of the two different quantities is the number of one quantity for each unit of the other quantity. In this case, the rate is the number of puppies per litter.

Mallory had 13 puppies in 2 litters, so the rate is:

13 puppies / 2 litters = 6.5 puppies per litter

None of the given options match this result, so the answer is none of the above.

Therefore, none of the given options match this result, so the answer is none of the above.

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Answer:

Let's call the length of the rectangular room "L" and the width "W". We know that the area (A) of the room is 80 square feet, so:

A = L x W

We also know that the perimeter (P) of the room is 36 feet. The formula for the perimeter of a rectangle is:

P = 2L + 2W

We can use the fact that P = 36 to solve for one of the variables in terms of the other. Solving for W, we get:

W = (36 - 2L) / 2

Now we can substitute this expression for W into the formula for the area:

A = L x ((36 - 2L) / 2)

Simplifying, we get:

80 = (L x (36 - 2L)) / 2

Multiplying both sides by 2, we get:

160 = L x (36 - 2L)

Expanding the right side, we get:

160 = 36L - 2L^2

Rearranging and simplifying, we get a quadratic equation:

2L^2 - 36L + 160 = 0

We can solve this quadratic equation using the quadratic formula:

L = [36 ± sqrt(36^2 - 4(2)(160))] / (2(2))

Simplifying, we get:

L = [36 ± sqrt(576)] / 4

L = [36 ± 24] / 4

L = 15 or L = 5

Since the length cannot be smaller than the width, we can disregard the solution L = 5. Therefore, the length of the rectangular room is 15 feet, and the width can be found using the formula we derived earlier:

W = (36 - 2L) / 2 = (36 - 2(15)) / 2 = 3

So the length of the room is 15 feet and the width is 3 feet.

The correct answer to the question on parallel line is option (a), i.e: The value of x is 109°, because the labelled angles in each diagram are congruent.

Parallel lines are defined as lines that lie in the same plane, are always equidistant from each other, and therefore never intersect, and are called parallel lines. ]

A matched angle is the angle formed by the matching angle or transversal and the corresponding angle when two parallel lines intersect another line (that is, transversal). 

According to the question:

In the diagram, the angle "x" is corresponding angle to 109°, so by the property "corresponding angle axiom "of intersecting line to parallel lines

angle "x" is equal to 109°.

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Answer:

Option 1: iceberg lettuce and peppers

Option 2: romaine lettuce and cucumbers

Option 4: tomatoes and iceberg lettuce (order does not matter)

Option 6: cucumbers and iceberg lettuce

Step-by-step explanation:

We have the option of choosing one item(lettuce) from the left box and one veggie from the right box

All possible outcomes are

Highlighted entries correspond to correct answer choices

{iceberg , peppers}               Option 1

{iceberg , cucumbers}            Option 6

{iceberg , tomatoes}               Option 4

{romaine, peppers}

{romaine, cucumbers}         Option 2

{romaine, tomatoes}

From the options given we can choose

Option 1: iceberg lettuce and peppers

Option 2: romaine lettuce and cucumbers

Option 4: tomatoes and iceberg lettuce (order does not matter)

Option 6: cucumbers and iceberg lettuce

The best estimate οf the average change in the incοme that is assοciated with gοing tο schοοl fοr an additiοnal year is $3000.

A graph that depicts the relatiοnship between twο extra variables is the mοst cοmmοn way tο plοtting data using a chart. It is alsο permitted tο use hand-drawn οr digitally generated diagrams. Beginning at the οrigin, mοve 2 units tο the right, then 3 units up. In the cοοrdinate plane, the cοοrdinates fοr the pοints 2, 3, and 4 shοuld be shοwn. Explain yοur pοints in detail. Sο, the pink dοt with the letter P represents the number 2.3. Yοu must first prοduce a number line fοr each value in yοur data cοllectiοn befοre yοu can create a line chart.

The scatterplοt suggests that there is a cοrrelatiοn between years οf schοοling and incοme that is favοurable. The graph's pοints οften create an upward slοping pattern gοing frοm left tο right, shοwing that thοse with mοre educatiοn typically earn mοre mοney.

It is impοrtant tο remember that there is still sοme diversity in incοme levels amοng thοse with the same degree οf educatiοn, indicating that the link between educatiοn and incοme is nοt perfectly linear. Other variables, such οccupatiοn, industry, and jοb experience, may alsο be at play and have an impact οn incοme levels.

As, the mοst dense vοlume is in $3000, then the best estimate οf the average change in the incοme that is assοciated with gοing tο schοοl fοr an additiοnal year is $3000.

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Complete question:

With the infοrmatiοn prοvided, the sοlutiοn is 2x + y = 9.

A mathematical equatiοn, including such 6 x 4 = 12 x 2, states that twο numbers οr values are equivalent. a meaningful nοun. An equatiοn is used when twο οr even mοre factοrs must be cοnsidered jοintly in οrder tο understand οr explain the whοle situatiοn.

Given:

Slοpe οr gradient οf line = -2

The lοcatiοn where the line passes = (1,7)

Equatiοn οf a line thrοugh (h,k) with a slοpe οf m:

(y - k) = (x -h) m

Equatiοn οf a line thrοugh (1,7) with a slοpe οf (-2): -

⇒ (y - 7) = (x - 1)(-2)

⇒ y - 7 = - 2x + 2

⇒ y = -2x + 2 + 7

⇒ y = -2x + 9

οr

⇒2x + y = 9

Verificatiοn οf respοnse:

We may check οur respοnse by substituting (1,7) in the fοrmula 2x+y=9.

⟹ LHS = (2×1)+7

⟹ LHS = 2+7

⟹ LHS = 9

Therefοre , LHS = RHS.

Alsο, yοu can use the equatiοn tο determine the gradient οr slοpe and cοnfirm yοur sοlutiοn.

⟹ Slοpe is equal tο -(cοefficient οf x)/ (cοefficient οf y)

⟹ Slοpe = - 2 /1

⟹ slοpe = -2

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Answer:

Right triangle JKL with JK measuring 33, angle J measures 60 degrees and angle L measure 30 degrees. 33rad … ical 3 66 33radical 2 16.5 5 Select the correct answer. 2 2

Step-by-step explanation:

Answer:

what am i suppose to answer !!!!

Answer:

he has 180 left

Step-by-step explanation:

because 224-44=180

Answer:

the largest area that can be enclosed with 700 feet of fencing is 61,250 square feet

Step-by-step explanation:

The equations that represent a linear functions are:

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

The list of options

As a general rule

Linear functions are functions with a degree of 1

Using the above as a guide, we have the following equations with a degree of 1:

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The option that describes the correct order of steps for constructing an angle bisector of ∠DEF using only a straightedge and compass is option C

C.

An angle bisector is a segment that splits an angle to form two smaller congruent angles.

The steps for construct an angle bisector of the angle ∠DEF, by making use of a compass and a straightedge are;

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Answer:

True

Step-by-step explanation:

(2 + 3) + 5 = 2 + (3 + 5)

5+5=2+8

10=10

this statement is true

Answer: There isn't an error, it's taxes

Step-by-step explanation:

Answer:

The percent error in the price can be calculated using the formula:

percent error = |(experimental value - actual value) / actual value| x 100%

In this case, the experimental value is the final price of $52 and the actual value is the initial price of $50. So we have:

percent error = |(52 - 50) / 50| x 100%

percent error = |2/50| x 100%

percent error = 4%

Therefore, the percent error in the price is 4%.

The equation that represents the number of zombies after 4 hours is the exponential function N(4) = 6 * (4)⁴.

What is an exponential function?

The formula for an exponential function is f (x) = aˣ, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0. The exponential curve is influenced by both the exponential function and the value of x. Depending on the exponential function, an exponential curve might increase or decrease. A quantity should have either exponential growth or exponential decay if it regularly increases or decreases by a predetermined percentage.

When there is exponential growth, the quantity grows initially extremely slowly and subsequently quickly. Throughout time, the rate of change quickens.

With exponential decay, the quantity initially falls very quickly and then gradually. The speed of change slows over time.

The number of zombies in the beginning = 6

It is said that it quadruples in size every hour.

So,

After one hour it becomes = 6 * 4

After two hours it becomes = 6* 4 * 4

The size increases as an exponential function.

If the number of hours passed is x, then the number of zombies can be written as the following exponential function.

N(x) = 6 * (4)ˣ

where the number of zombies is N(x).

Therefore the equation that represents the number of zombies after 4 hours is the exponential function N(4) = 6 * (4)⁴.

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Answer:

Step-by-step explanation:umm