A movie theater has increased their ticket prices. They are shown below
The graph shows the proportional relationship of the cost of movie tickets. Using the graph determine the constant of proportionality, k.

Answer:

x = -1

Step-by-step explanation:

2x + 5x = -7

7x = -7

x = -1

Answer:(x - 4)(2x + 3)

FOIL = first,outside,inside,last

F -- so multiply first terms in each set....(x)(2x)

O -- multiply outside terms in each set...(3)(x)

I -- multiply inside terms in each set....(-4)(2x)

L -- multiply last terms in each set.......(-4)(3)

Step-by-step explanation:

The Term to term rule for 28 25 22 19 16 is 25 + 3n.

An arithmetic sequence simply means an ordered set of numbers which have a common difference between the consecutive term.

Based on the information, it should be noted that the formula for an arithmetic sequence will be:

= a + (n - 1)d

a = first term = 28

d = common difference = 25 - 28 = 3

Therefore, the sequence will be illustrated as:

a + (n - 1)d

28 + (n - 1)3

= 28 + 3n - 3

= 25 + 3n

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Answer:

3b/2 + 3

Step-by-step explanation:

The formula to calculate perimeter of rectangle is 2l + 2w

The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2

Using the formula to calculate perimeter you can substitute and calculate

p= 2l + 2w

p= 2(b/4 + 1/2) + 2(b/2 + 1)

p= 2b/4 +2/2 + 2b/2 +2

p= 1/2b + 1 + b + 2

p= 3/2b + 3

Simplified it's 3b/2 +3

The diameter change of the 50-ft spherical tank due to internal pressure of 100 psi is approximately 0.0214 inches.

To calculate the diameter change of the spherical tank, we can use the formula for the change in diameter due to internal pressure in a thin-walled sphere:

ΔD = (4 * E * ΔP * D) / (3 * (1 - ν^2) * t)

where:

ΔD is the change in diameter

E is the elastic modulus of the steel (30,000,000 psi)

ΔP is the internal pressure (100 psi)

D is the original diameter of the tank (50 ft)

ν is the Poisson's ratio of the steel (0.3)

t is the thickness of the steel plate (0.5 inches)

Plugging in the given values into the formula, we have:

ΔD = (4 * 30,000,000 * 100 * 50) / (3 * (1 - 0.3^2) * 0.5)

Simplifying the equation, we get:

ΔD = 0.0214 inches

Therefore, the diameter change of the 50-ft spherical tank due to the internal pressure of 100 psi is approximately 0.0214 inches.

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The critical values are χ2l=8.230 and χ2r=27.587.

To find the critical values χ2l and χ2r that correspond to a 90 degree of confidence and a sample size of n=19, we need to use a chi-squared distribution table. First, we need to find the degrees of freedom (df) which is equal to n-1, or 19-1=18.

Next, we need to find the area under the curve to the right of χ2α/2 and the left of χ21-α/2. Since our confidence level is 90%, we have α=0.10 and α/2=0.05.

Using the chi-squared distribution table with df=18, we can find that the area to the right of χ2α/2=27.587 is 0.05. Similarly, the area to the left of χ21-α/2=8.230 is also 0.05.

Therefore, our critical values are χ2l=8.230 and χ2r=27.587. This means that if our calculated chi-squared value falls outside of this range, we can reject the null hypothesis with 90% confidence.

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Answer:

3 miles

Step-by-step explanation:

if she can run at a constant speed for 30 minutes, then it is 3 miles. But, if there is some reason that she cannot run at the same rate as she did for one mile, the answer is unknown.

Answer:

12.2cm

Step-by-step explanation:

Follow the steps in the image I send you to learn it if you don't get it tell me.

The values of x that satisfy the equation cos x = 0.74 within the given range are approximately 41.41° and 318.59°.

To find the solutions to the equation cos x = 0.74 for 0° ≤ x ≤ 360°, we need to determine the angles at which the cosine function takes on the value of 0.74.

Using inverse cosine (arccos) or a calculator, we can find the principal angle that satisfies cos x = 0.74, which is approximately 41.41°. However, we need to find the solutions within the given range of 0° to 360°.

The cosine function has a periodicity of 360°, meaning it repeats every 360 degrees. To find the other solution, we can subtract the principal angle from 360°:

360° - 41.41° ≈ 318.59°

Hence, the two solutions to cos x = 0.74 for 0° ≤ x ≤ 360° are approximately 41.41° and 318.59°.

In summary, the values of x that satisfy the equation cos x = 0.74 within the given range are approximately 41.41° and 318.59°.

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An equation for the line of best fit for a men's height, y, based on her shoe size, x is; y = 0.25x + 66.6

A line of best fit can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.

In this scenario, the men's shoe size would be plotted on the x-axis of the scatter plot while her height would be plotted on the y-axis.

By critically observing the scatter plot (see attachment) which models the data, we can reasonably deduce that an equation for the line of best fit is given by:

y = 0.25x + 66.6

Interpret the meaning of the residual from part B is given below.

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Answer:

83.85%

Step-by-step explanation:

Given that:

Mean (μ) = 65 months, Standard deviation (σ) = 6 months.

The empirical rule states that about 68% of the data falls within one standard deviation (μ ± σ), 95% of the data falls within two standard deviation (μ ± 2σ) and 99.7% of the data falls within three standard deviation (μ ± 3σ).

For the question above:

68% of the data falls within one standard deviation (μ ± σ) = (65 ± 6) = (59, 71) i.e between 59 months and 71 months

95% of the data falls within one standard deviation (μ ± 2σ) = (65 ± 12) = (53, 77) i.e between 53 months and 77 months

99.7% of the data falls within one standard deviation (μ ± 3σ) = (65 ± 18) = (47, 83) i.e between 47 months and 83 months

The percentage of cars that remain in service between 47 and 59 months = (68% ÷ 2) + (99.7% ÷ 2) = 34% + 49.85 = 83.85%

Answer:

Because she found it improves division.

Step-by-step explanation:

1) A translation of 3 units down, option D.

2) The vertex moves 3 units down.

3) The new range is y ≥ -3, correct option is C.

For a function f(x) a vertical shift of N units is written as:

g(x) = f(x) + N

In this case, we have:

f(x) = |x|

h(x) = |x| - 3

Then h(x) = f(x) - 3

This is a shift of 3 units down, the correct option is D.

How is the vertex affected?

The vertex is translated 3 units down, like the whole graph of the function.

How is the range affected?

The vertex defines the minimum of the range, so if the vertex goes 3 units down, then the range also does, the new range will be:

y ≥ -3.

So the correct option is C.

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American jurists (fill in the names) defined law as predictions of how a court will decide specific legal questions, based on a functional perspective.

American jurists Oliver Wendell Holmes Jr. and Benjamin Cardozo are known for their functionalist approach to defining law. They viewed law not merely as a set of abstract principles or rules, but as a prediction of how courts will decide specific legal questions in practice. According to their perspective, the law should be seen as a dynamic and evolving system that adapts to societal changes and reflects the judgments and decisions of the judiciary. By emphasizing the functional aspect of law, Holmes and Cardozo recognized the importance of considering how legal principles are actually applied and interpreted in real-world scenarios. Their approach acknowledges that the interpretation and application of law by judges can vary and evolve over time, depending on factors such as legal precedent, social context, and the specific facts of the cases before them.

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Answer:

the probability is 0%  

Step-by-step explanation:

is there options like

A

B

C

options

Answer:

here ya go hope i helped

Step-by-step explanation:

Hey there!

\(Answer:\boxed{\text{w}=\frac{-73}{3}}\)

\(Explanation:\)

\(15w=-365\)

15w/15 = -365/15 Divide both sides by 15

w = -73/3

Hope this helps!

Answer:

C or D

Step-by-step explanation:

sorry if I got it wrong

Answer:

c

Step-by-step explanation:

Answer:

one half of two fifths of x would be equivalent to one fifth of x

The probability that at least one person receives exactly one aces in their 52 cards is 4/52= 1/13

We define the following events:

A: person A receives exactly two aces in their five cards.

B: person B receives exactly two aces in their five cards.

C: person C receives exactly two aces in their five cards.

We need to calculate P(A∪B∪C). According to the principle of inclusion and exclusion:

P(A∪B∪C)= P(A)+P(B)+P(C)-P(A∩B)-P(A∩C)-P(B∩C)+P(A∩B∩C)

Total outcomes is equal to  because there 52 cards and we select 5 of them.

The probability of each event is given by:

P(A)=P(B)=P(C)===0.0399

where the possible outcomes are 2 aces and 3 of the other cards.

Then, the intersections of the events mean that one player gets 2 aces and the other gets 2 aces too.

P(A∩B)=P(B∩C)=P(A∩C)==0.0001

Finally,

P(A∩B∩C)=0 because it is not possible that the three events occur at the same time due to there are only 4 aces.

P(A∪B∪C)= 0.0399+0.0399+0.0399-0.0001-0.0001-0.0001+0

P(A∪B∪C)=0.1194

The probability that at least one person receives exactly two aces in their five cards is 0.1194.

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The assumptions include that the path of the ball can be modeled by a parabolic function, that data on the trajectory of the ball is needed, and that matrices can be used to solve for the constants a, b, and c. Finally, the inverse of the matrix can be computed using matrix algebra.

A matrix is a rectangular array of letters, numbers, or expressions in mathematics that are organized in rows and columns. In addition to representing and transforming data in statistics, physics, and computer science, matrices are also used to represent and convert linear equations and transformations in linear algebra.

We need to make some assumptions and approximations in order to develop an equation for the flight of the golf ball because the actual path of the ball is influenced by a number of variables, including wind, temperature, humidity, and spin. The idea that a parabolic function may simulate the ball's trajectory is one that is frequently held.

We would need information on the ball's trajectory, such as height and distance at various points along the trip, in order to perform regression. Regression analysis cannot be used to derive an equation for the trajectory of the golf ball in the absence of this data.

To use matrices, we can set up a system of equations based on the parabolic function:

\(y = ax^2 + bx + c\)

where x is the distance traveled by the ball, y is the height of the ball, and a, b, and c are constants to be determined.

We can set up three equations based on the following assumptions:

At the starting point (x=0), the height of the ball is zero.

At the point where the ball hit the tree (x = d), the height of the ball is the height of the tree (90 feet).

At the landing point on the green (x = D), the height of the ball is zero.

Using these assumptions, we can set up the following system of equations:

c = 0 (from assumption 1)

\(ad^2 + bd + c\) = 90 (from assumption 2)

\(aD^2 + bD + c\) = 0 (from assumption 3)

To solve for the constants a, b, and c, we can use matrix algebra to write the system in matrix form:

\([0 0 1] [c] [0]\)

c\([d^2 d 1] * [b]\) = [90]

\([D^2 D 1]\) [a] [0]

Multiplying the matrices, we get:

[0 0 1] [c] [0]

\([d^2 d 1]\) * [b] = [90]

\([D^2 D 1]\) [a] [0]

Simplifying, we get:

[c] [0]

[b] = [90] * \([d^2 d 1]^-1 * [d^2 d 1]\)

[a] [0]

where the inverse of the matrix \([d^2 d 1]\) can be computed using matrix algebra. Once we have the values of a, b, and c, we can plug them into the equation \(y = ax^2 + bx + c\) to get the equation for the path of the golf ball.

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Answer:

The maximum value is 5

Step-by-step explanation:

Since this is an upside-down parabola, the maximum value occurs at the vertex. Using -b/2a, we can find the x-value of the vertex and use that x value to plug back into the original function to find the maximum value.

x = -b/2a = -(-12)/(2(-6)) = 12/-12 = -1

f(-1) = -6(-1)^2-12(-1)-1 = 5

Answer:

8 and 1/3 day

Step-by-step explanation:

Just divide 5 by 3/5

Keep change flip.

5 x 5/3

25/3

It will last 25/3 days, or 8 and 1/3 days, or 8 days and 8 hours.

Hope this helps

Answer:

if it is 6 to power 2 then it is 36

Answer:

38 degrees

Step-by-step explanation:

DTU added to STD will make STU so we can make an equation for this

(4x+10)+(102)=19x+7

4x+112=19x+7

-4x.      -4x

112=15x+7

-7.         -7

105=15x

/15.  /15

7=x

now to find DTU we fill in x

4(7)+10

28+10

38 degrees

hopes this helps

The total number of phone numbers that contain 2021 as a contiguous subsequence is:

7 * 1000 * 1000000 = 7,000,000,000

To count the number of phone numbers that contain 2021 as a contiguous subsequence, we can use the following approach:

First, we choose the position of the first digit of the subsequence, which can be any of the first 7 digits of the phone number (we exclude the last three digits because we need at least 4 digits to form the subsequence). There are 7 ways to choose this position.

Once we have chosen the position of the first digit, we need to choose the next three digits in order to form the subsequence 2021. Since there are 10 digits to choose from, and the digits can be repeated, there are 10^3 = 1000 ways to choose these digits.

Finally, we can choose the remaining 6 digits of the phone number arbitrarily, since we have already guaranteed that the phone number contains the subsequence 2021. There are 10^6 = 1000000 ways to choose these digits.

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Answer:

She will have $24 remaining.

Step-by-step explanation:

5/8 of 64 is 40

Subtract 40 from the original number, 64

You get 24

Answer:

pi ≈ 3,141593

Step-by-step explanation:

I think this is the right answer

Answer:

NOt finished

Step-by-step explanation:

PAGE 1

1.) enlargement b/c the number is more that 1

2.) reduction b/c the number is less than 1

3.) enlargement b/c the number is more than 1

4.) reduction b/c the number is less than 1

5.) reduction k = 1/3

6.) enlargement k = 5/2 or 2.5

PAGE 2

7.) reduction k = 1/3

8.) enlargement k = 2

PAGE 3

Screen shot

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screen shot

I WILL DO THE SCREENSHOTS TOMORROW