Find two values of θ​, 0≤θ<2π, that satisfy the following equation.

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.

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°.

To learn more about parallel lines visit the link below

https://brainly.com/question/16701300

#SPJ1

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

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.

To know more about Operations visit:

https://brainly.com/question/8100476

#SPJ1

Answer:

C

Step-by-step explanation:

the perimeter means to go along all 4 sides and sum up the distance.

so, we have

x + 12 + x + 12 + 2x + 2x

we combine all similar terms (the ones with a variable and the constants without a variable)

x + x + 2x + 2x + 12 + 12 = 6x + 24

why do you think the sum of x + x + 2x + 2x is 4x ?

and 12 + 12 is 28 ?

do you need any further explanation, or is this now clear ?

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.

Learn more about speed-distance-time from the given link

https://brainly.com/question/26862717

#SPJ1

Answer:

$2.5 for one pack

Step-by-step explanation:

let p mean pack

4p=10 (10 dollars)

divide both sides by 4:

4p/4=10/4

p=2.5

One pack of Diet Coke with the sale would cost $2.5 per pack.

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

To Learn more about Domain, visit:

https://brainly.com/question/2264373

#SPJ1

Answer:

$638.42

Step-by-step explanation:

First, we need to calculate the sale price of the tablet computer after the 14% discount is applied. To do this, we can multiply the original price by 0.86 (1 - 0.14), which gives:

Sale price = $707 x 0.86 = $608.02

Next, we need to add the sales tax to the sale price. To do this, we can multiply the sale price by 0.05 (5%), which gives:

Sales tax = $608.02 x 0.05 = $30.40

Finally, we can find the total cost of the tablet computer by adding the sale price and the sales tax, which gives:

Total cost = $608.02 + $30.40 = $638.42

Therefore, the total cost of the tablet computer with the discount and sales tax included is $638.42.

Answer:

True

Step-by-step explanation:

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

5+5=2+8

10=10

this statement is true

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 triangles given are congruent as shown below.

Two or more triangles are said to be congruent if and only if sides and angles of one triangle is equal to the corresponding sides and angles of another triangle.

1) KL = LN   [Since L is the midpoint of KN]

ML = LP [ Since L is the midpoint of MP]

∠MLK = ∠MLP  [Vertically opposite pair of angles are equal.]

ΔMKL ≅ ΔPNL [Using the SAS Congruence Rule]

2) ∠BAD = ∠BCD [Given]

∠ABD = ∠CBD [Since BD bisects ∠ABC]

BD = BD [Common side]

ΔABD ≅ ΔCBD [Using AAS Congruence rule]

3) QR = ST [Given]

RS = TU [given]

QS = SU [Since S is the midpoint of QU]

ΔQRS ≅ ΔSTU  [By SSS Congruence rule]

Hence the triangles are congruent.

Learn more about Congruence of Triangles here :

https://brainly.com/question/19258025

#SPJ1

Answer:

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

Step-by-step explanation:

Answer:

Step-by-step explanation:umm

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:

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.

To know more about ratio visit :

https://brainly.com/question/12024093

#SPJ1

An algebraic expression that represents "$5 dollars less on dinner than James" is y = x - 5.

Any combination of terms that have undergone operations like addition, subtraction, multiplication, division, etc. is known as an algebraic expression (or variable expression). Let's take the expression 5x + 7 as an example. Thus, 5x + 7 is an illustration of an algebraic expression.

We simply combine like terms in an algebraic expression to make it simpler. As a result, similar variables will be combined.

Given:

James Spent = x -  $5.00

where x represents the usual amount James spent.

So,

y = x - 5

Thus, An algebraic expression that represents "$5 dollars less on dinner than James" is y = x - 5.

Learn more about algebraic expression

https://brainly.com/question/953809

#SPJ1

Complete question:

$5 dollars less on dinner than James spent. Write the phrase an algebraic expression

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

To know more about Equation visit:

https://brainly.com/question/29538993

#SPJ9

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.

To learn more about distribution
https://brainly.com/question/28021875
#SPJ1

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%.

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.

Learn more about even numbers, click;

https://brainly.com/question/2289438

#SPJ9

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;

Learn more on the geometric constructions here: https://brainly.com/question/29096545

#SPJ1

Answer:

2/5 yard of wood

Step-by-step explanation:

4/5 for 2 equal shelves.

The shelves are equal, so we need to divide 4/5 by 2.

4/5 divided by 2 is 2/5.

(4/2=2. We then put the denominator of 5. 2/5)

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 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

learn more about Pythagoras theorem from

https://brainly.com/question/231802

#SPJ1

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

Learn more on geometric progression here: https://brainly.com/question/29250973

#SPJ1

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.

To know more about plotting data visit:

brainly.com/question/29096917

#SPJ1

Complete question:

Answer: 21

Step-by-step explanation:

A= b x h/2

6 x 7/2= 21

Answer:

68

Step-by-step explanation:

x = original number of marbles

x = 104 - 36

x = 68

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.

To learn more about exponential functions, follow the link.

https://brainly.com/question/2456547

#SPJ1