In 2016, a group of p friends attended a movie together, and the tickets cost d dollars per person. By 2019, the cost of movie tickets had increased by 10% and the size of the group had increased by 5%. Find the percent increase in the total cost of the group attending a movie from 2016 to 2019.

The maximum load factor resulting from the accelerated stall maneuver at twice the normal stalling speed of 60 MPH will be 4G.

The load factor is a measure of the ratio of the total aerodynamic forces acting on an aircraft to its weight. It represents the amount of stress or load the aircraft experiences during flight maneuvers.

In a normal stall, the airplane stalls when it reaches its critical angle of attack, which occurs at a certain airspeed known as the stalling speed. Given that the normal stalling speed is 60 MPH, the load factor at this speed would be 1G, representing the aircraft's weight.

However, in an accelerated stall, the airplane is forced into a stall at a higher speed, in this case, twice the normal stalling speed. The load factor in an accelerated stall is determined by the square of the ratio of the stall speed to the normal stalling speed.

In this scenario, the accelerated stall speed is 2 * 60 MPH = 120 MPH. Therefore, the load factor can be calculated as follows:

\(Load Factor = (Stall Speed / Normal Stalling Speed)^2\)

\(Load Factor = (120 MPH / 60 MPH)^2\\Load Factor = 2^2\\Load Factor = 4\)

Hence, the maximum load factor resulting from this accelerated stall maneuver would be 4G, meaning the aircraft experiences four times its weight as a result of the maneuver. This increased load factor puts additional stress on the aircraft's structure and is a critical factor to consider in aviation safety.

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In performing hypothesis tests about the population mean, a t-test can be used if the population standard deviation is not known and the sample is random.

The conditions of a random sample and unknown population standard deviation are necessary for the t-test to be applicable.

When conducting hypothesis tests about the population mean, if the population standard deviation is unknown, the t-test is appropriate to use. The t-test is specifically designed for situations where the population standard deviation is not known and must be estimated from the sample. By using the sample data, the t-test calculates a test statistic called the t-value, which is used to determine the statistical significance of the mean difference.

However, it is important to note that in addition to the unknown population standard deviation, the sample must also be random for the t-test to be valid. Random sampling helps ensure that the sample is representative of the population, which is crucial for making accurate inferences. Therefore, options (b) "the sample is random" and (d) "the population is normally distributed" are the correct conditions for using a t-test when the population standard deviation is unknown.

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Answer:

8(3j-2) and 4(6j−4)

there you go!!

The statements that are true are A and B, C and D are false.

In mathematics, a ratio is a comparison of two quantities or values expressed as the quotient of one divided by the other. It is often written using a colon or as a fraction. For example, the ratio of the number of boys to the number of girls in a class can be written as "3:2" or "3/2". Ratios are used to express relationships between two quantities, such as the ratio of the circumference of a circle to its diameter (π), or the ratio of the distance traveled to the time taken (speed).

The given information is as follows:

Vegetable broth weighing 7 quarts

Barley weighing 2 pounds

We can use this information to find the ratios between the amounts of vegetable broth and barley used in the soup mix.

A. To find out if 3.5qt broth 1lb barley is a unit rate for the soup mix, we need to compare it to other ratios. One way to do this is to convert the ratio to an equivalent ratio with the same units. We can multiply both the numerator and denominator of 3.5qt broth 1lb barley by 2 to get 7qt broth 2lb barley. This means that for every 7 quarts of vegetable broth, 2 pounds of barley are used.

Therefore, this is a valid ratio for the soup mix.

B. To find out if 1qt broth 0.27lb barley is a unit rate for the soup mix, we can again compare it to other ratios. We can multiply both the numerator and denominator of 1qt broth 0.27lb barley by 4 to get 4qt broth 1.08lb barley. This means that for every 4 quarts of vegetable broth, 1.08 pounds of barley are used.

Therefore, this is also a valid ratio for the soup mix.

C. Using the same rate, the cook should mix 5 pounds of barley with 10 quarts of broth. To check if this is true, we can use the ratios we found in parts A and B. If we use the ratio 7qt broth 2lb barley, we can set up a proportion to find out how much broth and barley are needed for 5 pounds of barley:

7 qt broth / 2 lb barley = x qt broth / 5 lb barley

Solving for x, we get x = 17.5 qt broth. Therefore, the cook would need 17.5 quarts of vegetable broth and 5 pounds of barley to make the soup mix.

This is not the same as the ratio given in the question, so statement C is false.

D. Using the same rate, the cook should mix 10 pounds of barley with 35 quarts of broth. We can again use the ratios we found in parts A and B to check if this is true. If we use the ratio 4qt broth 1.08lb barley, we can set up a proportion to find out how much broth and barley are needed for 10 pounds of barley:

4 qt broth / 1.08 lb barley = x qt broth / 10 lb barley

Solving for x, we get x = 37.04 qt broth. Therefore, the cook would need 37.04 quarts of vegetable broth and 10 pounds of barley to make the soup mix.

This is not the same as the ratio given in the question, so statement D is also false.

In summary, the statements that are true are A and B, C and D are false.

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Answer:

D

Step-by-step explanation:

Answer:

-1000

Step-by-step explanation:

i  took the quiz and thats it

Answer:

1.71539657854

Step-by-step explanation:

The car's speed after the given amout of time is 19.8 m/s²

The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration. A point or object going straight ahead is accelerated when it accelerates or decelerates. Any alteration in an object's velocity could take the form of a change in direction of motion or a speed increase or reduction. The moon orbiting the earth, an apple falling to the ground, and a car stopped at a stop sign are a few instances of acceleration.

Average Acceleration =Change in Velocity/ Time Taken

So Change in Velocity is 10-x m/s

Time taken is 7.25 s

Given accelaration 4.11 m/s²

Putting the values we get,

4.11 = (10-x)/7.25

⇒29.8 = 10-x

⇒x=19.8 m/s²

​

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The statement that best describes how the manager can check if there is an association between the two variables is: D. The manager should check both relative frequencies by row and by column to look for an association.

In Mathematics and Statistics, a frequency table can be used for the graphical representation of the frequencies or relative frequencies that are associated with a categorical variable or data set.

Based on the frequency table, we can reasonably infer and logically deduce that the manager should check both relative frequencies by row and by column in order to determine whether or not there is an association.

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Missing information:

Which statement best describes how the manager can check if there is an association between the two variables?

A. The manager must check relative frequencies by row because there are more than two different promotions. B.The manager must check relative frequencies by column because there are more than two different promotions. C.The manager cannot use relative frequencies to look for an association because there are more than two different promotions. D. The manager should check both relative frequencies by row and by column to look for an association.

Answer:

-4+12

12-4

Step-by-step explanation:

Expression 1:

-4 - (-12)=

-4+12=

8

Expression 2:

12-4=

8

Answer:

12-(-4)

Step-by-step explanation:

The correlation coefficient that represents the strongest relationship between two variables is -0.75.

In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.

The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.

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The system of equations that can be used to determine ,the number of 1-inch-wide blocks and 3-inch-wide blocks in the line is;

x + y = 10

x + 3y = 18

Tye correct answer option is option B

Let

x + y = 10

x + 3y = 18

Subtract (1) from (2) to eliminate x

3y - y = 18 - 10

2y = 8

divide both sides by 2

y = 8/2

y = 4

Substitute y = 4 into (1)

x + y = 10

x + 4 = 10

x = 10 - 4

x = 6

Therefore, the number of 1-inch-wide blocks in the line and number of 3-inch-wide blocks in the line is 6 and 4 respectively.

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A card is drawn randomly from a standard 52-card deck. then the probabilities are a) 1/13 b) 3/13 and c) 10/13

There are four 3's in the deck. This means that, from 52 possible cards to drawn, we have 4 chances of drawing a 3. This means that the probability will be:

p = 4/52

p= 1/13

b.

For every suit, there are three face cards, J, Q and K. There are 4 suits, so, the total number of face cards its:

4*3 =12

The total possible cards are, still, 52, so, the probability will be

p= 12/52

p=3/13

c.

We know that the card drawn must be a face card, o not being a face card. There is no third choice here. So, the probability of drawing a face card OR not drawing a face card its:

p=52/52

p=1

so

p( the card is a face card ) + p( the card is not a face card) =1

but, we know that

p( the card is a face card ) =3/13

so

p( the card is not a face card) =1- 3/13

                                                 = 10/13

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Answer:-12=-24 FALSE

Step-by-step explanation:

6-18= -12

18-42= -24

The statement is false

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\(\text{Solve:}\\\\6(1-3) = 2(9-21)\\\\\text{Use the distributive property}\\\\6-18 = 18-42\\\\-12=-24\\\\\text{This would make the equation False, since -12 doesn't equal -24}\)

The gradient vector field of function f(x,y) is given as follows:

grad(f(x,y)) = (1 + 9xy)e^(9xy) i + 9x²e^(9xy) j.

The gradient vector field of a function

Suppose that  a function defined as follows:

f(x,y).

The gradient function is defined considering the partial derivatives of function f(x,y), as follows:

grad(f(x,y)) = fx(x,y) i + fy(x,y) j.

The gradient of a function is a vector field. It is obtained by applying the vector operator V to the scalar function f(x, y). Such a vector field is called a gradient (or conservative) vector field.

In which:

fx(x,y) is the partial derivative of f relative to variable x.

fy(x,y) is the partial derivative of f relative to variable y.

The function in this problem is defined as follows:

f(x,y) = xe^(9xy).

The partial derivative relative to x  as follows:

fx(x,y) = e^(9xy) + 9xye^(9xy) = (1 + 9xy)e^(9xy).

The partial derivative relative to y  as follows:

fy(x,y) = 9x²e^(9xy).

Hence the gradient vector field of the function is defined as follows:

grad(f(x,y)) = (1 + 9xy)e^(9xy) i + 9x²e^(9xy) j.

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Answer:

Your answer is: A) True

( I say true because 1) .5 2) 7 are rational) ( I dont know about v16, if that is what it is supposed to say, then I cant quite tell)

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Step-by-step explanation:

Hope this helped : )

Answer:

Slope of the line x +2y =14 will be -1/2 since y = -1/2x+7, where m = -1/2 and c = 7.

Step-by-step explanation:

Answer:

2 Answers By Expert Tutors. Slope of the line x + 2y = 14 will be -1/2 since y = -1/2x+7, where m = -1/2 and c = 7. Now, the slope of the line perpendicular to this equation will be m_1 = -1/m = -1/ (-1/2) = 2.

Step-by-step explanation:

The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.

Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.

In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

So, the roots of 0 = 2x² + 12x-14 are:

2x² + 12x-14  = 0

2x² + 14x - 2x -14

2x(x + 7) - 2(x + 7)

(2x - 2) (x + 7)

Now, use the zero product property as follows:

2x - 2 = 0

2x = 2

x = 2/2

x = 1

And

x + 7 = 0

x = -7

Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.

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Correct question:

What are the roots of the quadratic equation 0 = 2x² + 12x-14?

a. 1,6, -7

b. 2,12,-14

c. -7,1

d. -1,7

Answer:

1. 40320 numbers of different arrangements of the letters of the word ogbogoro.

2. 24 is the permutation.

Step-by-step explanation:

Permutation Formula:

n!/(n-r)!

Answer:

Step-by-step explanation:

See attachment

\(Question \: in \: comments\)

Answer:

Step-by-step explanation:

P(E)=3/6=1/2

So it is equally probable to roll even as it is to roll an odd.

’evens’

Answer:

Nina has drove 80 mph.

Step-by-step explanation:

400 miles 5 hours

400 dived by 5= 80

Answer:

I say 3 sandwiches for 15.

Step-by-step explanation:

to find the best price divided the numbers

15 divided by 3= 5

5 is the price per sandwich for this

21 divided by 4= 5.25

5.25 per sandwich

the 3 for 15 is a better deal. You save money.

Answer:

Step-by-step explanation:

The following set of equations can be used to represent this situation:

4b + 3c = 134

3b + 3c = 120

In this approach, b stands for the price per box of monochrome brochures, whereas c stands for the price per box of color  brochures.

Christian ordered two batches of brochures; the first equation shows the cost of the first batch, and the second equation shows the cost of the second batch.

The replacement approach can be used to solve this system. By focusing on just one side of the first equation, we may find the value of b:

4b = 134 - 3c

The second equation can therefore be changed to use this expression for b in place of b :

3(134 - 3c) + 3c = 120

This equation can be written as:

402 - 9c + 3c = 120

Combining related concepts gives us:

-6c = -282

When we multiply both sides by -6, we get:

c = 47

The value of b can then be determined by reintroducing this value into the first equation as follows:

4b = 134 - 3(47) (47)

If we simplify, we get:

4b = 134 - 141

This equation can be written as:

4b = -7

When we multiply both sides by 4, we get:

b = -1.75

As a result, the price each box of monochrome brochures is $-1.75, whereas the price per box of color brochures is $47.

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Answer:

21w+3

Step-by-step explanation:

1) 9w+5+5w+7w-2

2) 9+5+7=21.

3) 5-2=3