Problem 1 (Exercise 8.3.1) Each character in a password is either a digit [0-9], lowercase letter [a-z] or special characters
{ ∗ , &​ ,​ $,#}. Compute the number of passwords that satisfy the given constraints. a) Strings of length 6 . Characters can be special characters, digits, or letters, with no repeated characters. b) Strings of length 6. Characters can be special characters, digits, or letters, with no repeated characters. The first character cannot be a special character.

If the combination r = 5% and Y = $100 billion is on the Fed rule line, and the combination r = 7% and Y = $100 billion is considered, it would represent a movement up the Fed rule.

The Fed rule represents the relationship between the interest rate (r) and the level of real GDP (Y). As the interest rate increases from 5% to 7% while keeping the level of real GDP constant at $100 billion, it indicates a movement along the Fed rule line in an upward direction.

This implies that as the interest rate increases, the recommended level of real GDP decreases, based on the Fed rule. Therefore, the combination r = 7% and Y = $100 billion represents a movement up the Fed rule.

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Answer:

k = - 3

Step-by-step explanation:

Given

9kx + 12ky = 63

Since x = - 1 and y = - 1 are solutions of the equation

Substitute x = - 1 and y = - 1 into the equation and solve for k

9k(- 1) + 12k(- 1) = 63, that is

- 9k - 12k = 63

- 21k = 63 ( divide both sides by - 21 )

k = - 3

To answer part b, there are two ways to adjust the inequality in part a to help Angel exceed the goal of the walking challenge faster.

One way to adjust the inequality is to increase the daily step goal. Instead of adding 500 steps per day, Angel could add 750 steps per day, for example. This would mean that Angel would reach the goal of 10,000 steps in fewer days than the original 17 days.  Another way to adjust the inequality is to start Angel off with more steps on the first day. Instead of starting with 2,000 steps, Angel could start with 3,000 steps.

Part b of the question asks for two ways to adjust the inequality in part a to help Angel exceed the walking challenge goal faster.  The variables in the inequality affect the number of days it takes to reach the goal.
The inequality in part a is:
2000 + 500d ≥ 10000
Another way to adjust the inequality is to start Angel off with more steps on the first day. For example, instead of starting with 2000 steps, Angel could start with 3000 steps. This would change the inequality to:
3000 + 500d ≥ 10000
Solving for d in this case gives:
d ≥ 14
This means that Angel would need to walk for at least 14 days to reach the goal of 10,000 steps. By starting with more steps on the first day, Angel can reach the goal faster because she has fewer days to add steps to reach the goal.

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Answer:

Step-by-step explanation:

a and b are sometimes true.

This is when line z intersects x and y at right angles.

Answer:

0.8

Step-by-step explanation:

The points entered are part of a linear, rising function.

y = 0.8x - 0.8 is the solution. Have a good day man! :)

The ordered pair that represents the location of vertex A after the dilation is (8, 20).

Vertex is a point in geometry that describes the location of a object in a two-dimensional or three-dimensional space. In two-dimensional space, it is a point where two lines, curves, or surfaces intersect. In three-dimensional space, it is the point where three planes intersect. In a graph, it is the point where two lines intersect.

Vertex A of the original kite is located at (6, 15).
The center of dilation is at (1, 1). To dilate the kite by a scale factor of 4/3, each point (x,y) of the kite must be multiplied by the scale factor, 4/3. In this case, vertex A will transform to (8, 20) after the dilation.
Therefore, the ordered pair that represents the location of vertex A after the dilation is (8, 20).

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Answer:

The conclusion supported by the diagram is;

(A)  \(\dfrac{AB}{BC} = \dfrac{FE}{ED}\)

Step-by-step explanation:

The question is examines the theorem that two transversals cut by three or more parallel lines are proportionally divided by the transversals

The given parallel lines are;

Line CD, line BE, and line line AB

The given transversals are;

Line AC and line DF

Therefore, by the above three or more parallel lines cutting two transversal theorem, we have;

BC/AB = ED/FE, BC/DF = AB/FE, CA/AB = DF/FE

From BC/AB = ED/FE, we find the inverse of both sides to get;

\(\dfrac{1}{\dfrac{BC}{AB} } = \dfrac{1}{\dfrac{ED}{FE} }\)

\(\dfrac{1}{\dfrac{BC}{AB} } = \dfrac{AB}{BC} \ and \ \dfrac{1}{\dfrac{ED}{FE} } = \dfrac{FE}{ED}\)

\(\therefore \ \dfrac{AB}{BC} = \dfrac{FE}{ED}\)

The correct option is \(\dfrac{AB}{BC} = \dfrac{FE}{ED}\)

Answer:

Consistent

Step-by-step explanation:

Answer:

I select b, 1,3, or 9 photos as my answer.

Answer:

1.  A number decreased by seven.

2. A number increased by nine.

3. The product of six and a number, divided by eight.

4. The product of three and a number increased by five is equal to twenty.

5. The product of two and a number increased by eight is equal to twenty-three.

Step-by-step explanation:

1.   x-7

A number decreased by seven.

2. y+9

A number increased by nine.

3. 6m/8

The product of six and a number, divided by eight.

4. 3y+5 =20

The product of three and a number increased by five is equal to twenty.

5. 2(x+8)= 23

The product of two and a number increased by eight is equal to twenty-three.

The translation of each given algebraic expression to a verbal phrase has been provided.

1) We have; x - 7

This means that; a number x decreases by 7.

2) y + 9; This means that; a number y increases by 9.

3) 6m/8; This can be expressed as;

The product of six times a number m is divided by 8.

4) 3y + 5 = 20; This can be expressed as;

The sum of five and three times a number x is equal to 20.

5) 2(x + 8) = 23;

The product of 2 and the addition of a number x and 8 is equal to 23

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Answer:

A

Step-by-step explanation:

Here books can be arranged in: a) 39,916,800 ways b) 17,280 ways c) 86,400 ways d) 86,400 ways e) 30,240 ways

a) When the books can be arranged in any order, the total number of ways is given by 11!, which is the factorial of the number of books that is 39,916,800 ways. b) We have 2! ways to arrange the group and within the group, the math books can be arranged in 6! ways and the biology books can be arranged in 5! ways which is 17,280 ways.

c) The math books can be arranged in 6! ways, and the remaining books can be arranged in 5! ways that is 86,400 ways. d) If the math and biology books must alternate, we consider them as one group. Within this group, the math and biology books can be arranged in 6! ways that is 86,400 ways.

e) When none of the biology books can be next to each other, we consider the arrangements of the math books and the spaces between them. There are 7 spaces available for the biology books to be placed, and we use the permutation formula 7P5 to calculate the number of arrangements which can be 30,240 ways.

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Answer:

-15

Step-by-step explanation:

if its just asking for what number would represent a loss of 15 it would be negative 15

i dont know if there's more to the problem or not

Answer:

-15

Step-by-step explanation:

This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,

hope this helps!

Scores is multiplied by the degree of difficulty of the dive.

The final score for the dive would be 11.73.

To determine the final score for a dive, the scoring process involves two multiplying the scores by the degree of difficulty and then multiplying that value by 0.6.

Let's break down the process step by step:

Multiply the scores by the degree of difficulty of the dive.

The first step involves taking the scores obtained for the dive and multiplying them by the degree of difficulty. The degree of difficulty represents the complexity and intricacy of the dive being performed. It is typically assigned by judges or determined based on the specific dive being executed.

For example, let's say the scores obtained for the dive are 8.5, and the degree of difficulty is 2.3. To calculate the first part of the final score, you would multiply the scores by the degree of difficulty:

8.5 * 2.3 = 19.55

So, in this case, the result of multiplying the scores by the degree of difficulty is 19.55.

Multiply the result from step 1 by 0.6.

After obtaining the value from step 1, the next step is to multiply it by 0.6. This is done to apply a weightage or adjustment to the score based on additional factors like execution, form, and other criteria considered in the scoring system. The specific value of 0.6 is used to determine the final score and is typically set by the governing body or rules of the diving competition.

Continuing with our example, we will multiply the result from step 1 (19.55) by 0.6:

19.55 * 0.6 = 11.73

Therefore, the final score for the dive, after multiplying the result from step 1 by 0.6, is 11.73.

It's important to note that this explanation assumes a simplified scoring process and may not reflect the exact methodology used in all diving competitions. Scoring systems can vary, so it's always best to refer to the specific rules and regulations of the particular competition or event for accurate and detailed information on how scores are calculated.

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Answer:

7, 8.5, 10

Step-by-step explanation:

It is adding 1.5 every time

(can I get brainliest now)

Answer:

500 would be the answer of this question but it is also the standard form of this question

Answer:

60 ft²

Step-by-step explanation:

Answer:

60 ft.

Step-by-step explanation:

8*15 = 120/2 = 60

Answer

bruh where's the explanation

Step-by-step explanation:

The probability of finding oil (to 1 decimal) is 0.7.

Probability is a statistic that is used to show the possibility or chance that a certain event will occur. Probabilities can be expressed as fractions from 0 to 1, in contrast to percentages from 0% to 100%. The four main types of probability that mathematicians study are axiomatic, classic, empirical, and subjective. Given that the terms potential and probability are interchangeable, you could define probability as the probability that a particular event will take place.

To determine probability the  Preliminary geologic  , we obtain,

P(oil)=0.3+0.4

P(oil)=0.7.

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P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.

The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.

To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!

Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.

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Answer:

107/22= 4.9

Step-by-step explanation:

divide total price by number of magazines

9514 1404 393

Answer:

  D.  37.5 square units

Step-by-step explanation:

There are a couple of ways to figure this.

1. The altitude KM is the geometric mean of the segment lengths ML and MJ

  KM = √(ML·MJ)

  ML = KM²/MJ = 36/8 = 4.5

Then LJ = 4.5 +8 = 12.5, and the area of the triangle is ...

  A = (1/2)bh

  A = (1/2)(12.5)(6) = 37.5 . . . square units

__

2. Triangle LKM is similar to triangle KJM. The scale factor is ...

  KM/JM = 6/8 = 3/4

Then the area of triangle LKM is (3/4)² = 9/16 of the area of triangle KJM.

The total area is ...

  Area of LJK = (area of KJM)×(1 + 9/16)

  = (1/2)(8)(6)(25/16) = 75/2 = 37.5 . . . square units

Answer: 1 go to 1 the 2 go to 5 the 3 go to 3 the 4 go to 2 the 5 go to 4

Step-by-step explanation: i hop this helps if not sorry :(

Answer:

28

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

given the data in ascending order

1 , 3 , 5 , 6 , 7 , 9 , 100

              ↑ middle value

then the second quartile Q₂ ( the median ) is the middle value of the set

thus Q₂ = 6

the first quartile Q₁ is the middle value of the data to the left of the median

1 , 3 , 5

    ↑

Q₁ = 3

the third quartile Q₃ is the middle value of the data to the right of the median

7 , 9 , 100

     ↑

Q₃ = 9

the first , second and third quartiles are 3 , 6 and 9

The first, second, and third quartiles are 3, 6, and 9. The correct answer is option C) 3, 6, and 9.

The first quartile (Q1) is the value that divides the data set into quarters, with 25% of the data falling below this value. To find Q1, we need to locate the median of the first half of the data set. The first half of the data set consists of (1, 3, 5). The median of this set is 3, so Q1 is 3.

The second quartile (Q2) is the median of the entire data set, which is 6.

The third quartile (Q3) is the value that divides the data set into quarters, with 75% of the data falling below this value. To find Q3, we need to locate the median of the second half of the data set. The second half of the data set consists of (7, 9, 100). The median of this set is 9, so Q3 is 9.

Therefore, the first, second, and third quartiles of the given data set (1, 3, 5, 6, 7, 9, 100) are 3, 6, and 9 respectively. The correct answer is option C) 3, 6, and 9.

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Answer:

0.3

Step-by-step explanation:

total:16.3

20*0.8=16 (amount she will use)

16.3-16=0.3

The final exponential expression in fractional form for "the eighth root of fifty-seven to the sixth degree" is 57^(3/4).

To express the given description as a symbolic expression and then convert it into an exponential expression in fractional form, we'll follow these steps:

Step 1: Symbolic Expression

The description states "the eighth root of fifty-seven to the sixth degree." Let's denote this as √[57]^(1/8)^6.

Step 2: Removing Radical

To eliminate the radical (√), we can rewrite it as a fractional exponent. The numerator of the fractional exponent corresponds to the power (6) applied to the base, and the denominator corresponds to the index of the root (8).

So, the expression becomes (57^(1/8))^6.

Step 3: Simplifying Exponents

To simplify the exponent, we multiply the powers:

(57^((1/8)*6))

Simplifying further:

(57^(6/8))

Step 4: Fractional Form

The exponent 6/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:

(57^(3/4))

Therefore, the final exponential expression in fractional form for "the eighth root of fifty-seven to the sixth degree" is 57^(3/4).

This means that we raise 57 to the power of 3/4 to represent the original description. The fraction 3/4 indicates taking the eighth root of 57 and then raising it to the sixth power.

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Answer:

D

Step-by-step explanation:

Area of triangle= ½ ×base ×height

Since the length of the base and the height of the triangle is equivalent to the length of a side of the square, s,

area of triangle

= ½ ×s ×s

= ½s²

Given that the area of the triangle is 12.5 units²,

½s²= 12.5

Multiply both sides by 2:

s²= 12.5(2)

s²= 25

Square root both sides:

\(s = \sqrt{25} \)

s= 5 units

(reject negative value since s > 0)

SAS postulate is the postulate that proves the given triangles are congruent.

What is Triangle ?

Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The sum of the triangle's three angles equals 180 degrees.

Given,

A cube with congruent square faces.

Step 1: Create a labelled diagram by outlining the triangles and.

The diagram illustrating the triangles ΔABF and ΔBCG

See the attachment

Step 2 - Step description.

As an example, a cube has faces that are congruent squares.

Therefore, AB = BC = BF= CG and ΔABF = ΔBCG =90°

That implies,  AB ≅ BC ≅ BF≅CG and ΔABF ≅ ΔBCG =90°

Step 3 - Description of step.

In the triangles ΔABF and ΔBCG, it can be seen that AB = BC , ΔABF =ΔBCG = 90° and BF=CG

Using the SAS postulate, the triangles ΔABF and ΔBCG are thus congruent triangles.

SAS postulate is the postulate that proves the given triangles are congruent

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