Six adult tickets to a movie at the theater cost
$52.50. Find the price for one ticket.

The rate of change of the area of a square is 12m^2/sec.

What do you mean by rate of change?

The term "rate of change" refers to the rate at which one quantity changes in respect to another. Consequently, if y value is the dependent variable and x value is the independent variable.

Rate of Change is equal to [tex]\frac{Change in y}{Change in x}[/tex].

Change rates may be positive or negative. This reflects a change in the y-value between the two data points, either up or down. Zero rate of change is the state where a quantity does not change over time.

Solution Explained:

Given,

S = 2m and ds/dt = 3m/s

So, we use

Area = s^2

dA/dt = 2s ds/dt

         = 2 X 2 X 3

Therefore, the rate of change of the area is 12m^2/s.

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By solving a linear equation, it can be calculated that-

Kenji needs 12 gallons of gas for the drive

What is a linear equation?

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here, a linear equation needs to be solved

Let Kenji requires x gallons of gas

Kenji's car gets 33.5 miles per gallon of gas when he is driving on the highway.

Kenji can travel 33.5x miles with x gallons of gas

Distance to be travelled = 402 miles

By the problem,

The required linear equation is

33.5x = 402

x = [tex]\frac{402}{33.5}[/tex]

x = 12 gallons

Kenji needs 12 gallons of gas for the drive

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Answer: the first 1

Step-by-step explanation:

i just did it hope it helps

Answer:

What is the value of √m = ∓ 17

The value of √m = ∓ 17 is undefined.

Answer:

  y = 120°

Step-by-step explanation:

Given a triangle with external angle y and remote internal angles 33° and 87°, you want the measure of y.

The external angle is the sum of the remote internal angles:

  y = 33° +87°

  y = 120°

__

Additional comment

Angle x is supplementary to y, so its measure is ...

  x = 180° -y = 180° -120°

  x = 60°

Hopefully, you notice that the value of x is ...

  x = 180° -(33° +87°)

This is the same value you get when you solve the equation for the sum of angles in the triangle:

  33° +87° +x = 180°

Effectively, the rule regarding the external angle being the sum of remote internal angles is another way of saying the sum of angles in a triangle is 180°.

Answer: 7/12

Step-by-step explanation: First, flip the 4/3 to its reciprocal and change it to multiplication. Then, you can simplify the 9 and 3 to 3 and 1. After that, multiply straight across. Hope this helps! :)

Answer:

1. 7/9 ÷ 4/3 As a fraction) 21/36

2. 7/9 ÷ 4/3=21/36 as a simplified fraction) 7/12

3. 7/9 ÷ 4/3 As a decimal) 0.583

4. 7/9 ÷ 4/3 As a percentage) 58.3%

Let's see how it's done!

7/9 ÷ 4/3:

7/9 ÷ 4/3 (Invert or flip the second fraction and multiply across)

7/9 x 3/4 = 21/36

How to simplify 21/36

21/36 ÷ 3 (Divide the numerator "the top part of the fraction" and the denominator "the bottom part of the fraction" by 3. This will equal 7/12

How to turn 21/36 into a decimal

21 divided by 36 = 0.5833333333333333...

Round to the nearest thousandth: 0.583

How to turn 0.583 into a percent

Move the decimal point 2 places to the left, drop the zero(s)

and add the percent sign! 58.3%

These are all the same answer but in different forms and how to do them!

Hope it helps!

Answer:

565.9

Step-by-step explanation:

The period of the solar system's orbit is 2.05 x 108 years.

What is the time period?

A period is a number that in algebraic geometry can be expressed as the integral of an algebraic function over an algebraic domain. Periods form a ring because their sums and products always remain in the same period.

Don Zagier and Maxim Kontsevich presented some theories and gave a survey of the eras. Periods also appear when computing the integrals that result from Feynman diagrams, and extensive work has been done to understand the relationships.

Solution Explained:

Given,

Radius of the solar system, r=25000 light year

Speed v=230 km/s

Calculate time period by

T = 2πr / v

T = 2πr X (25000 X 3 X 10^8 X 365 X 24 X 60 X 6) / (230 X 10^3)

  = 6.46 X 10^15 X (1 year / 365 X 24 X 60 X 60)
  = 2.05 X 10^8 years

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the polynomial will be 2x² + 11x+6, with degree less than 3 and be the subspace.

What is vector space?

A collection of vectors collected collectively and multiplied ("scaled") by scalars forms a vector space, also known as a linear space. Real numbers are typically thought of as scalars. Nevertheless, there aren't many instances of scalar multiplication with vector spaces using rational, complex, etc. numbers. Axioms and other preconditions must be met by the vector addition and scalar multiplication techniques. A space made up of vectors is referred to as a vector space when the addition of vectors is governed by the associative and commutative law and when vectors are multiplied by scalars is governed by the associative and distributive process.

W = span (9x-4-2x²,5+x+2x²)

Now, a(9x42x²)+b(5+x+2x²) = 0

⇒(9a+b)x+(2b-2a)x² + (5b-4a) = 0

⇒9a+b= 0; 2b2a = 0; 5b-4a=0

a = b =0

p(x)=(9x-4-2x²) + 2(5+x+2x²) = 9x-4-2x² + 10 + 2x + 4x² = 2x² + 11x+6

Hence the polynomial will be 2x² + 11x+6.

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From the given information given, the mean and standard deviation of the probability distribution is; Y will be 0.4899 and 0.699 respectively.

How to create the probability distribution?

From the given probability distribution, it should be noted that the probability distribution for y will be:

Y                   0        1.         2

Probability 0.63.   0.25.   0.12

The mean of Y will be:

Mean = (0 × 0.63) + (1 × 0.25) + (2 × 0.12)

Mean = 0 + 0.25 + 0.25

Mean = 0.49

The variance will be 0.4899. Therefore, the standard deviation will be:

standard deviation = ✓0.4899

Standard Deviation = 0.699

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The no. of people qualified is less than the  managers belief of 0.265

What is P-value?

The likelihood of receiving outcomes from a statistical hypothesis test that are at least as severe as the actual results provided the null hypothesis is true, is known as the p-value in statistics. The p-value provides the minimal level of significance at which the null hypothesis would be rejected as an alternative to rejection points. The alternative hypothesis is more likely to be supported by greater evidence when the p-value is lower.

P-value is frequently utilised by government organisations to increase the credibility of their research or reports. The United States Census Bureau, for instance, mandates that any analysis with a p-value higher than 0.10 be accompanied by a statement stating that the difference is not statistically significant from zero.

Here [tex]H_{0}[/tex] - P =1/3=0.3333

Hi - P <0.3333

Given n =144

x = 63

P^=63/144=0.4375

Test Static = [tex]\frac{P^-P}{\sqrt{\frac{PQ}{n} } }[/tex]

= [tex]\frac{0.4375^-0.3333}{\sqrt{\frac{0.3333-(1-0.3333)}{144} } }[/tex]

=0.265

P-value =P(Z<2.65)=0.9960, Given [tex]\alpha[/tex] =0.05

here P-Value >[tex]\alpha[/tex]

So, don't reject  [tex]H_{0}[/tex]

There is no evidence to support the manager's Belief That less Than 1/3 of Applications are qualified

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Answer:

-3/7 > b

Step-by-step explanation:

subtract 5/7 on both sides

Answer:78 feet and 34 cubic feet

Step-by-step explanation:

The slope of a function is defined as the change in y-coordinate with respect to the change in x-coordinate of the line.

m = Δy/Δx

∆y --> net change in the y coordinate

∆x ---> net change in x coordinate

m ---> slope of fution

The y-intercept of both functions 'f' and 'g' are equal and slope of f(x) is less than the slope of g(x). So, the correct option is option (A).

We have given a function, g (x) = 2x + 1

comparing the g(x) with standard equation

y = mx + b

where m is slope of this line

b --> y-intercept

Thus we get m = 2 , b= 1 . So, the slope of g(x) is 2 and y-intersecpt is 1 .

Now, we have a table for function f(x) that is function f(x) passing through all points as given in table. The slope of function passing through (h,k) and (a,b) is expressed as (k-b)/(h-a)

Thus, slope of function 'f' passing through (0,1) and (2,4) = (1-4)/(0-2) = -3/-2

= 3/2

=> f (x) = (3/2)x + b

where , b --> y-intercept

plug the value x= 4 and corresponding to it

f(x) = 7 we get , 7 = 3/2× 4 + b

=> b = 7-6 = 1

Therefore, slope of function g(x) is greater than slope of function f(x) and y-intercept of f(x) is equal to y-intercept g(x) .

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Complete question:

The Table represents the linear function f(x), and the equation represents the linear function g(x). Compare the y-intercepts and the slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.

x / f(x)

0/1

2/4

4/7

g(x)= 2x+1

A. The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).

B. The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).

C. The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).

D. The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).

Answer: It means that the high in Dubai is 49

Step-by-step explanation: When saying about the weather, we always say the highest temperature first, so that mean 49 here is the high temperature in Dubai.

If you can please give me a Brainliest, I only need 1 more to become an Ace, thank you!

Answer:

The mercury is expected to cross the 49°C mark again later today.

Answer:

The answer is x=20

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

(x+21)+(2x+9)=90

x + 21 + 2x + 9 = 90

combine numbers on left side:

x + 30 + 2x = 90

combine x terms on left side:

3x + 30 = 90

subtract 30 from both sides:

3x + 30 -30 = 90 - 30

3x  = 60

divide  both sides by 3:

3x/3  = 60/3

x = 20

The probability that fewer than 21 customers in the sample buy coffee during their visit on that certain day of the week is 0.7224. Hence option C is the correct option.

What is the binomial distribution?

When each trial has the same probability of achieving a given value, the number of trials or observations is summarised using the binomial distribution. The likelihood of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution.

The formula for z-score is z = (x -μ)/σ

Where, μ is mean of the sample, σ is standard deviation of the sample

Given that 55% of the customers buy coffee, hence p = 55% = 0.55

Sample of 35 customers, hence n = 35.

For the binomial distribution μ = np, σ = √[np(1-p)]

The mean and the standard deviation of the approximation are:

μ = 35 ˣ 0.55 = 19.25

σ = √[35 ˣ 0.55(1-0.55)] =2.943

Now calculate the z score where μ = 19.25, σ = 2.943 and X = 21

z = (21 -19.25)/2.943

z = 0.59

The value of p is 0.2776 when z score is 0.59.

The probability is 1 - 0.2776 = 0.7224.

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Answer: (3,0)

Hope this helps! :)

Step-by-step explanation: Think of graphing, like regular number lines. The numbers are either positive or negative and depending on the integer you add or subtract, the number on the line will either move left or right.

x= 5 (x on a coordinate plane is left to right)

2 units left

5-2=3

y= -5 (y on a coordinate plane is top to bottom)

5 units up

-5+5=0

(3,0)

Answer:

(3,0)

Step-by-step explanation:

x= 5-2 = 3

y= -5+5 =0

Answer:

x=2/3

Step-by-step explanation:

3x - 1 = 1

   + 1   + 1

---------------

3x = 2

÷3    ÷3

------------------

x=2/3

-----------------------

using subtraction and division properties of equality, you can simplify the expression to solve it. you can use other properties of equality for different equations as well, but for this one you only need subtraction and division. :)

There were 13 notepads, each of which cost $1.05 when the bookstore reduced the price of various notepads from $2.00 to $1.00.

Given that,

The bookstore reduced the price of various notepads from $2.00 to $1.00 while maintaining the price. The whole lot was sold. The selling of the pads generated a total profit of $29.45.

We have to find what number of notepads were sold and how much did each notepad cost.

We know that,

One approach to solving this issue is to divide $29.45 by each of the values from $1.01 to $1.99. That is the price for each notepad if one of them fits evenly with no leftovers. The number of pads is the quotient (result of division). The number has to be placed evenly because we cannot use half of the pad (leave no remainder).

Although we can check each of them, I realized that $29.45 ends in a 5 and is therefore divisible by 5, so I chose to check 1.05 as a potential price and it entered evenly. 13 is the quotient.

Therefore, There were 13 notepads, each of which cost $1.05 when the bookstore reduced the price of various notepads from $2.00 to $1.00.

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The likelihood that a shooter will hit the target at least 13 times is 27.92%.

For such a binomial distribution, the probability density function equals the amount of successes ("x").

P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ

The required number of achievements is five (i.e., x = 13), as we are keen in the development that the objective will be hit exactly five times.

P(X = 13) =  ¹⁵C₁₃. (0.89)¹³ (0.11)²

P(X = 13) = 0.2792

P(X = 13) = 27.92%

Therefore, there is a 27.92% chance that a shooter will hit the target at most 13 times.

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The value of c after solving the equation is 8.

For the polynomial to be divisible by x+2, hence x = -2

Given

p(x) = 4x³+cx²+x+2

p(-2) = 4(-2)³+c(-2)²+(-2)+2

p(-2) = 4(-8) + c(4)-2+2

p(-2) = -32+4c

If p(-2) = 0

0= -32+4c

-4c = -32

c = 32/4

c = 8

Hence we get the value of c as 8.

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The measure of the LK us 5 units and the measure of the NL is 6 units after applying intersecting secants theorem.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle).

It is given that:

A circle:

Applying intersecting secants theorem:

4(4 + 2) = 3(3 + 2x + 5)

8 = 8 + 2x

x = 0

LK = 2x + 5 = 5 units

In the second circle:

4(4 + x - 8) = 3(3 + x - 5)

x = 10

NL = x - 8 + 4 = 10 - 8 + 4 = 6 units

Thus, the measure of the LK us 5 units and the measure of the NL is 6 units after applying intersecting secants theorem.

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Answer:

Step-by-step explanation: find a point and find another point

y=1x+1/2

The monthly payment amount a woman has to pay for the car is $462.91.

Here we have to find the monthly payment amount.

The cost of car = $23,800

Down payment = $3,500

Rate(r) = 4.5%

time(t) = 4 years

Periodic interest(i) = 0.045/12

Formula to calculate monthly payment:

A = P i( 1 + i[tex])^{n}[/tex] / ( 1 + i[tex])^{n}[/tex] - 1

Loan amount = 23800 - 3500

                      = $ 20300

A = 20300 ( 0.045 /12 ( 1 + 0.045/12[tex])^{48}[/tex])/ (1 + 0.045/12[tex])^{48}[/tex] - 1

  = 20300× 0.004488 / 0.196814

  = 462.91

Therefore the monthly payment is $462.91.

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There are 65, 19-bit sequences of 0s and 1s that start with a 0 and end with a 0 that exist.

Any subsequent 0 in the sequence must come exactly two or three spots down from the previous one.

We begin at point 1 and finish at position 19 in this instance.

That is, we advance along the line a whole of 18 positions.

In order to achieve 18, we must add all series consecutive 2s and 3s.

There are numerous methods for doing this:

Case 1: There is just one possible arrangement for nine 2s.

Case 2: Two 3s with six 2s - thus ⁸C₂ ways = 28 ways

Case 3: Four 3s with three 2s - thus ⁷C₄ ways = 35 ways

Case 4: Six 3s - Only 1 way to arrange.

Thus, the number of arrangements = 1 + 28 + 35 + 1 = 65 .

Therefore ,the total possible number of the sequence that cane be made is 65 .

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When we do a confidence interval for the mean, we use T-distribution to determine the number of standard deviations needed for our confidence

The T-distribution is a way to describe a collection of observations in which the majority of the observations are close to the mean and the remaining observations are the tails on either side. It is a type of normal distribution that is utilized for data with unknown variance and smaller sample sizes.

We use the T-distribution to obtain the required critical value, which is nothing more than the number of standard deviations from the center taken to obtain the confidence interval, despite the fact that there is no population standard deviation and only sample metrics—the sample mean and standard deviation—are used. As a result, the solution to this problem is T-distribution.

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