a keycode must have 4 letters followed by 3 numbers. the letters can be any in the alphabet and the numbers can be from 0 to 5 how many combinations are there

The probability that a random customer will not rent a family video can be calculated by dividing the number of customers who did not rent a family video by the total number of customers. Let's analyze the given data and calculate the probability.

Type of Movie   |   Number of DVDs Rented

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

Action                |        25

Comedy            |        15

Drama               |        10

Family               |         5

Horror               |        20

To calculate the probability, we need to determine the total number of customers who did not rent a family video. From the table, we can see that the number of DVDs rented in the "Family" category is 5. Therefore, the number of customers who did not rent a family video is the sum of the number of DVDs rented in all other categories: 25 (Action) + 15 (Comedy) + 10 (Drama) + 20 (Horror) = 70.

The total number of customers can be obtained by summing the number of DVDs rented in all categories: 25 (Action) + 15 (Comedy) + 10 (Drama) + 5 (Family) + 20 (Horror) = 75.

Now, we can calculate the probability by dividing the number of customers who did not rent a family video by the total number of customers: 70/75 = 0.9333.

Therefore, the probability that a random customer will not rent a family video is approximately 0.9333 or 93.33%.

Based on the given data, there is a high likelihood that a random customer will not rent a family video, with a probability of approximately 93.33%.

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Answer:

y = - 3x

Step-by-step explanation:

an equation involving direct proportion has the form

y = kx ← k is the constant of proportion

the only equation in this form is

y = - 3x ( with k = - 3  )

Answer:

a₁₃ = - 20

Step-by-step explanation:

The nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₂ = 13 and a₄ = 7 , then

a₁ + d = 13 → (1)

a₁ + 3d = 7 → (2)

Subtract (1) from (2) term by term to eliminate a₁

2d = - 6 ( divide both sides by 2 )

d = - 3

Substitute d = - 3 into (1)

a₁ - 3 = 13 ( add 3 to both sides )

a₁ = 16

Then

a₁₃ = 16 + (12 × - 3) = 16 - 36 = - 20

Answer:

False

Step-by-step explanation:

The advantages of the superposition theorem compared to other circuit theorems are its simplicity and modularity in circuit analysis, as well as its applicability to linear circuits.

Superposition theorem is a powerful tool in circuit analysis that allows us to simplify complex circuits and analyze them in a more systematic manner. When compared to other circuit theorems, such as Ohm's Law or Kirchhoff's laws, the superposition theorem offers several advantages. Here are two key advantages of the superposition theorem:

Simplicity and Modularity: One major advantage of the superposition theorem is its simplicity and modular approach to circuit analysis. The theorem states that in a linear circuit with multiple independent sources, the response (current or voltage) across any component can be determined by considering each source individually while the other sources are turned off. This approach allows us to break down complex circuits into simpler sub-circuits and analyze them independently. By solving these individual sub-circuits and then superposing the results, we can determine the overall response of the circuit. This modular nature of the superposition theorem simplifies the analysis process, making it easier to understand and apply.

Applicability to Linear Circuits: Another advantage of the superposition theorem is its applicability to linear circuits. The theorem holds true for circuits that follow the principles of linearity, which means that the circuit components (resistors, capacitors, inductors, etc.) behave proportionally to the applied voltage or current. Linearity is a fundamental characteristic of many practical circuits, making the superposition theorem widely applicable in real-world scenarios. This advantage distinguishes the superposition theorem from other circuit theorems that may have limitations or restrictions on their application, depending on the circuit's characteristics.

It's important to note that the superposition theorem has its limitations as well. It assumes linearity and works only with independent sources, neglecting any nonlinear or dependent sources present in the circuit. Additionally, the superposition theorem can become time-consuming when dealing with a large number of sources. Despite these limitations, the advantages of simplicity and applicability to linear circuits make the superposition theorem a valuable tool in circuit analysis.

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Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

Answer:

0.64, she spent 64% of her money.

Step-by-step explanation:

Answer:

2545

Step-by-step explanation:

The coordinates of the point on the directed line segment are (-4, 4).

What is partitions of the segment?

Finding a position that is an equal distance from A and b equal distance from B is necessary for partitioning a line segment, AB, into a ratio of a/b.

Trying to find the coordinates of point that splits the line between (-7, -2) to (-2, 8) at a ratio of 3:2.

Since the ratio is 3:2 we are going o find the point that is 3/5 of the distance from (-7, -2) to (-2, 8).

For the x coordinate, find the distance between x coordinates (-2-(-7)) = 5.

Take 3/5 of 5 equals to 3 and add that to the first x coordinate (-7) to get the x - coordinate of interest -4.

For the y - coordinate, find the distance between y coordinates (8-(-2)) = 10.

Take 3/5 of 10 equals to 6 and add that to to the first y coordinate (-2) to get the y coordinate of interest 4.

The coordinates of the point on the directed line segment  from (-7, -2) to (-2, 8) that partitions the segment into a ratio of 3:2 are (-4, 4).

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Answer:

see explanation

Step-by-step explanation:

(a)

AB = 4 + x

(b)

the area (A) of rectangle ABCD is calculated as

A = length × breadth

   = AB × AD

   = (4 + x)(6 + x) ← expand using FOIL

   = 24 + 10x + x²

given A = 28 , then

x² + 10x + 24 = 28 ( subtract 24 from both sides )

x² + 10x = 4 ← in the form x² + ax = b

with a = 10 and b = 4

Answer:

11

Step-by-step explanation:

because you have to add 5+6=11

The equation used to find the distance of the flowerbed from the hive is called the "time equation".

The flowerbed is 900 feet far from the hive.

Find the traveling time

The bee spends 12 minutes hunting down the nectar in the flowerbed. Since it was away from the hive for a total of 16 minutes, the traveling time is

16min - 12min = 4 min

Convert the Minutes to seconds

1 minute = 60 seconds

4 minutes = 4*60 = 240 seconds

Find the time each way

The total time is 240 seconds, but it is not divided evenly.

Let the time there = t

Let the time back = 240 - t

The distances are the same

r = 10 m/s

r1 = 6 m/s

t1 = t

t2 = 240 - t

dthere = dback

d = rate * time

10 m/s *t = 6 m/s (240 - t)      

Remove the brackets on the right.

10 * t = 6*240 - 6t                

Combine the like terms on the right.

10t = 1440 - 6t                        

Add 4t to both sides

10t + 6t = 1440 - 6t + 6t          

Combine

16t = 1440                            

Divide both sides by 16

16t/16 = 1440/16                    

Do the division

t = 90                                    

Find the height

d = ?

r = 10 m/s

t = 90 second

d = r*t

d = 10 * 90 = 900 feet

The flowerbed is 900 feet far from the hive.

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The complete question is:

A babe flies at 10 feet per second directly to a flowerbed from its hive. the bee stays at the flowerbed for 12 minutes and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 16 minutes.

What equation can you use to find the distance of the flowerbed from the hive?

The distance that light will travel in 3 years, given the speed it travels in one year is

The notion of a Light Year allows us to quantity the distance that light travels in an entire year. This has allowed scientists to quantify with more ease, the distance to other galaxies and planets.

The distance that light travels in a year is 5. 88 x 10¹² miles.

In 3 years therefore, the distance would be:

= 3 x ( 5.88 x 10 ¹²)

= 17.64 x 10 ¹² miles

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It is well known that utilizing a zip file is an effective method for reducing the size of the document in order to boost storage and sharing possibilities. A zipped folder may be smoothly moved from one place (the transmitter) to another without any issues (the receiver).

One or more files can be compressed and stored together in one location using the ubiquitous ZIP file format. As a result, the file size is less and is simpler to transport and store. After transmission, the receiver can use the files in their original form by unzipping (or extracting) her ZIP file.

In order to increase storage and sharing capabilities by lowering the size of the document, it is known that using a zip file is an efficient technique. A zipped folder may be effortlessly transferred without any hiccups from one location (the transmitter) to another (the receiver). Using Zip files has the primary benefit of reducing the time required to send large files over email. The document's quality is unaffected and is identical to the original file when it is compressed using a zip file.

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We need to  know about margin of error to solve the problem. The factors that influence margin of error are confidence level and sample size.

Margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result will reflect the result of a census of the entire population. Margin of error is influenced by three factors, confidence level, sample size and population standard deviation. In absence of population standard deviation, the margin of error is influenced by confidence level and sample size.

Therefore the margin of error is influenced by confidence level and sample size.

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The derivative of the function y = x^2x using logarithmic differentiation is dy/dx = x^2x(2 + 2ln(x)).

To find the derivative of the function y = x^2x using logarithmic differentiation, we follow these steps:

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To find the derivative of the function y = x^(2x) using logarithmic differentiation, we take the natural logarithm of both sides, apply logarithmic properties, and then differentiate implicitly.

Start by taking the natural logarithm of both sides of the equation:

ln(y) = ln(x^(2x))

Apply the power rule of logarithms to simplify the expression:

ln(y) = 2x * ln(x)

Now, differentiate both sides of the equation implicitly with respect to x:

(1/y) * dy/dx = 2 * ln(x) + 2x * (1/x)

Simplify the expression:

(1/y) * dy/dx = 2 * ln(x) + 2

Multiply both sides by y to isolate dy/dx:

dy/dx = y * (2 * ln(x) + 2)

Substitute the original value of y = x^(2x) back into the equation:

dy/dx = x^(2x) * (2 * ln(x) + 2)

The derivative of the function y = x^(2x) using logarithmic differentiation is dy/dx = x^(2x) * (2 * ln(x) + 2). Logarithmic differentiation is a useful technique for differentiating functions that involve exponentials or complicated algebraic expressions, as it allows us to simplify the calculation by taking the logarithm of both sides and then differentiating implicitly.

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Answer:

-6, -4 , -3 , and - 1 only.

Step-by-step explanation:

−12x + 3 ≥  5

-12x  ≥  5 - 3

-12x  ≥  2

Divide both sides by -12:

x ≤ -1/6    (Note the inequality sign flips because we are dividing by a negative value).

So considering the given set, all the values except 0 and 2 fit this inequality.

Answer:

x + 6

Step-by-step explanation:

(f ÷ g)(x)

= \(\frac{x^2+9x+18}{x+3}\) factorise the numerator

= \(\frac{(x+3)(x+6)}{x+3}\) ← cancel the factor (x + 3) on numerator/ denominator

= x + 6

Answer:

B

Step-by-step explanation:

Hope this helps you out! :)

Answer:

  135 ft

Step-by-step explanation:

Each centimeter represents 15 feet, so 9 centimeters will represent ...

  9 × 15 ft = 135 ft

The plane is 135 feet long.

The given system of differential equations is:

y1' = y1 + 3y2

y2' = 3y1 + y2

We need to verify that the functions:

y1(t) = c1e^(ut) + c2e^(-2t)

y2(t) = c1ue^(ut) - c2e^(-2t)

satisfy the system. In part (a), we find the value of each term in the equation y1' = y1 + 3y2 in terms of the variable f. In part (b), we find the value of each term in the equation y2' = 3y1 + y2 in terms of the variable f.

(a) To find the value of each term in y1' = y1 + 3y2, we differentiate y1(t) with respect to t. The derivative of c1e^(ut) is c1ue^(ut), and the derivative of c2e^(-2t) is -2c2e^(-2t). Thus, we have:

y1' = c1ue^(ut) - 2c2e^(-2t) + 3(c1ue^(ut) - c2e^(-2t))

Combining like terms, we get:

y1' = (2c1u + 3c1u)e^(ut) + (-2c2 - 3c2)e^(-2t)

(b) Similarly, we differentiate y2(t) with respect to t. The derivative of c1ue^(ut) is c1u^2e^(ut), and the derivative of c2e^(-2t) is -2c2e^(-2t). Thus, we have:

y2' = c1u^2e^(ut) - 2c2e^(-2t) + 3(c1e^(ut) + c2e^(-2t))

Combining like terms, we get:

y2' = (c1u^2 + 3c1)e^(ut) + (-2c2 + 3c2)e^(-2t)

Therefore, the value of each term in y1' = y1 + 3y2 is given by:

Term 1: (2c1u + 3c1)e^(ut)

Term 2: (-2c2 - 3c2)e^(-2t)

And the value of each term in y2' = 3y1 + y2 is given by:

Term 1: (c1u^2 + 3c1)e^(ut)

Term 2: (-2c2 + 3c2)e^(-2t)

These results verify that the functions y1(t) and y2(t) satisfy the given system of differential equations.

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Answer:

id

Step-by-step explanation:

The square root equations could have extraneous solutions.

An extraneous solution is a “false” solution to an equation. An extraneous solution does not satisfy the original equation, even though we took seemingly valid steps while solving the equation.

When we solve an equation with containing a radical expression, we have to isolate the radical on one side from all other terms and then square both sides of the equation.

When we square a radical equation we sometimes get a solution to the squared equation that is not a solution to the original equation. Such an equation is called an extraneous solution.

Hence, the square root equations could have extraneous solutions.

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Answer:

C. y = -x

Step-by-step explanation:

the slope is -1 so in the formula y= mx + b

b is 0 and m is -1

so plug it in and you get y = -x

Answer:

Yanga ka jhcgjvvhjjio ddd....

Answer:

9,310 potato plants

Step-by-step explanation:

245 x 38 = 9,310

Answer:

The second one is right

Step-by-step explanation:

Hope it helpssss

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2