joey is making a poster for bike safety week. the diameter of circle A is 18 in. If the area of a circle B is 1/5 the area of Circle A what is the area of circle B?

Answers

Answer 1
Pi r Square:
Circle A’s area is 81pi.
Circle B’s area is 20.2pi, or about 63.42

Related Questions

Using the image below, answer the following question: you are asked to pick 2
marbles out of the bag, what is the probability of picking a blue marble and then a
green marble, without replacing the blue one?
Please

Answers

The probability of picking a blue marble and then a green marble without replacing the blue one is 2/15.

From the figure we can write

Number of Blue marbles = 2

Number of Green marbles = 6

Number of Purple marbles = 2

Total number of marbles = 2 + 6 + 2 = 10

Now, Probability of picking a blue marble

= Number of Blue marbles / Total number of marbles

= 2 / 10

= 1/5

After removing the blue marble, the total number of marbles becomes 9

Probability of picking a green marble

= 6 / 9

= 2/3

So, the probability of picking a blue marble and then a green marble

Probability = (1/5) x (2/3) = 2/15.

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MA.7.DP.1.4
A group of friends has been given $800 to host a party. They must decide how much money
will be spent on food, drinks, paper products, music and decorations.
Part A. As a group, develop two options for the friends to choose from regarding how to
spend their money. Decide how much to spend in each area and create a circle
graph for each option to represent your choices.
Part B. Mikel presented the circle graph below with his recommendations on how to
spend the money. How much did he choose to spend on food and drinks? How
much did he choose to spend on music?
Party Spending Proposal
Mail
17%
Paper Products

Answers

Answer:  $130 money did Brenda and Hazel have all together before buying decorations and snacks.

Here, we have,

You want to know Brenda and Hazel's combined money when the ratio of their remaining balances is 1 : 4 after Brenda spent $58 and Hazel spent $37. They had the same amount to start with.

Setup

Let x represent the total amount the two women started with. Then x/2 is the amount each began with, and their fnal balance ratio is ...

 (x/2 -58) : (x/2 -37) = 1 : 4

Solution

Cross-multiplying gives ...

 4(x/2 -58) = (x/2 -37)

 2x -232 = x/2 -37 . . . . . . eliminate parentheses

 3/2x = 195 . . . . . . . . . . . . add 232-x/2

 x = (2/3)(195) = 130 . . . . . multiply by 2/3

Brenda and Hazel had $130 altogether before their purchases.

Alternate solution

The difference in their spending is $58 -37 = $21.

This is the same as the difference in their final balances.

That difference is 4-1 = 3 "ratio units", so each of those ratio units is $21/3 = $7.

Their ending total is 1+4 = 5 ratio units, or $35.

The total they started with is $58 +37 +35 = $130.

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complete question:

Brenda and Hazel decide to throw a surprise party for their friend, Aerica. Brenda and Hazel each go to the store with the same amount of money. Brenda spends $58 on decorations, and Hazel spends $37 on snacks. When they leave the store, the ratio of Brenda’s money to Hazel’s money is 1 : 4. How much money did Brenda and Hazel have all together before buying decorations and snacks?

What are the zeros of the function

Answers

Answer: i think c

Step-by-step explanation:

Find the average rate of change of f(x)=x²+2x+1 from x=4 to x=6.

Answers

The average rate of change of the function over the interval is 12

Finding the average rate of change

From the question, we have the following parameters that can be used in our computation:

f(x) = x² + 2x + 1

The interval is given as

From x = 4 to x = 6

The function is a quadratic function

This means that it does not have a constant average rate of change

So, we have

f(4) = 4² + 2(4) + 1 = 25

f(6) = 6² + 2(6) + 1 = 49

Next, we have

Rate = (49 - 25)/(6 - 4)

Evaluate

Rate = 12

Hence, the rate is 12

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Question 5
TABLE 4 below shows the distribution of revenue among the different spheres of
government in South Africa from the 2017/2018 to 2021/2022 financial year. Some values
have been omitted.
TABLE 4: Distribution of Revenue among the different government spheres for
the financial years 2017/2018 to 2021/2022.
R(billion)
2019/20
546.1
471,4
Government
BHOJDIN
National
Provincial
Local
TOTAL
2017/18
453.4
410.6
**
2018/19
490,00
439,5
87.6
1 017,1
98.3
1:15.8
2020/21
557,5
500,4
103.3
1 161.2
2021/22
1 240.5
(adapted from DBE 2014 MLQP)
Use the table above to answer questions that follows
When the revenue of the local government sector was compared to the provincial sec
2017/18, it was found to be 20, 12% of the provincial sector.
Calculate
the missing value E, the total revenue for the period 2017/18.
ont sector always receives a larger share than t

Answers

The missing value E, the total revenue for the period 2017/18, is approximately 82.61 billion.

How to calculate the value

Local government sector's revenue in 2017/18 (L): Missing value (to be calculated)

Provincial sector's revenue in 2017/18 (P): 410.6 (billion)

According to the information provided, L is 20.12% of P. Mathematically, we can write this as:

L = 20.12/100 * P

Substituting the known value of P, we get:

L = 20.12/100 * 410.6

L ≈ 82.61 (rounded to two decimal places)

Therefore, the missing value E, the total revenue for the period 2017/18, is approximately 82.61 billion.

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Mount Saint Helens, a volcano, erupted on May 18, 1980. Before eruption, Mount St. Helens was 2.95 kilometers high. use the bar diagram to find the difference in height of mount st. helens before and after the eruptions in meters PLEASE I NEED HELP :(((

Answers

The difference in height is 400 metres.

What is the difference in height of Mount St. Helens?

Height refers to vertical distance from the top to the object's base. Occasionally, it is also labeled as an altitude which measures from down to top of a surface.

To get difference in height, we will subtract the height after the eruption from the height before the eruption:

Given:

Height before eruption = 2.95 kilometers

Height after eruption = 2.55 kilometers

Difference in height = Height before eruption - Height after eruption

Difference in height = 2.95 km - 2.55 km

Difference in height = 0.4 kilometers

0.4 kilometers to metres will be:

= 0.4 * 1000 metres

= 400 metres.

Full question:

Mount St. Helens, located in Washington, erupted on May 18, 1980. Before the eruption, the volcano was 2.95 kilometers high. After the eruption, the volcano was 2.55 kilometers high. Find the difference in height of Mount St. Helens before and after the eruption.

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Given f(x)=4x^2 - 1 and g (x) = 2x- 1 , find each function
1. ( f+g )( x )
2. ( fg ) ( x )
3. ( f^n ) ( x )

Answers

The values of the composite functions are

(1) (f + g)(x) = 4x² + 2x - 2

(2) (fg)(x) = 8x³ - 4x² - 2x + 1

(3) (fⁿ)(x) = (4x² - 1)ⁿ

How to evaluate the composite functions

From the question, we have the following functions that can be used in our computation:

f(x) = 4x² - 1

g(x) = 2x - 1

Using the above as a guide, we have the following:

(f + g)(x) = f(x) + g(x)

(f + g)(x) = 4x² - 1 + 2x - 1

Evaluate the like terms

(f + g)(x) = 4x² + 2x - 2

(fg)(x) = f(x) * g(x)

(fg)(x) = (4x² - 1) * (2x - 1)

Evaluate the products

(fg)(x) = 8x³ - 4x² - 2x + 1

(fⁿ)(x) = (f(x))ⁿ

So, we have

(fⁿ)(x) = (4x² - 1)ⁿ

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Please help with pictures below.

Answers

The proportion is solved and the variables are a/b = c/d

Given data ,

Let the proportion be represented as A

Now , the value of A is

a / b = c / d

On simplifying the equation , we get

( a + b ) / b = ( c + d ) / d

On dividing the numerator of the fraction by the denominator , we get

( a / b ) + ( b / b ) = ( c / d ) + ( d / d )

On further simplification , we get

( a / b ) + 1 = ( c / d ) + 1

Subtracting 1 on both sides , we get

( a / b ) = ( c / d )

Hence , the proportion is ( a / b ) = ( c / d )

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Find the sum of the finite series:
10
Σ2· (3)n-1
n=1

Answers

Answer: 59,048

Step-by-step explanation:

To find the sum of the given finite series:

Σ2· (3)n-1

n=1

where n ranges from 1 to 10, we can use the formula for the sum of a geometric series.

The formula for the sum of a geometric series is:

S = a * (r^n - 1) / (r - 1)

In this case, a = 2 (the first term of the series) and r = 3 (the common ratio).

Using the formula, we can calculate the sum:

S = 2 * (3^10 - 1) / (3 - 1)

= 2 * (59049 - 1) / 2

= (118098 - 2) / 2

= 118096 / 2

= 59048

Therefore, the sum of the given finite series is 59,048.

A spinner has three sections. The table shows the results of spinning the arrow on the spinner 80 times.

What is the experimental probability of the arrow stopping over Section 1?
A} 1/28
B} 7/20
C} 7/13
D} 4/5

Answers

Answer:

B} 7/20

Step-by-step explanation:

total: 80

section 1: 28

p(section 1) = 28/80 = 7/20

Compare:

58,565 ____ 58,566

Answers

Answer:

58,565 < 58,566

Step-by-step explanation:

You have to determine which number is greater. I usually start comparing from the farthest left digit (In this case, the ten thousands place.) and work my way up


hope this helped :)

Teena uses 1/4 cup of oil for a cake. How many cakes can she make if she has 6 cups of oil?

Answers

Answer:

24 cakes.

Step-by-step explanation:

6 cups of oil divided by 1/4 cup oil per cake = 24 cakes

6/(1/4) = 24

or 6/(0.25) = 24

She can make 24 cakes with 6 cups of oil.

Can someone please help me find the domain and range thank you all so much for the help

Answers

The domain and the range of the graph are Domain = [-10, -8] and Range = [-10, -1]

Calculating the domain and range of the graph

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph can be represented as a list of ordered pairs

The rule of a graph is that

The domain is the x valuesThe range is the f(x) values

Using the above as a guide, we have the following:

Domain = [-10, -8]

Range = [-10, -1]

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Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line

Answers

Answer is C) it is located between the numbers 2 and 3 on the number line

Explanation

The square root of a number is “what number times itself”

2 x 2 = 4

3 x 3 = 9

7 is between 4 and 9 so C is the correct answer

Can someone answer this question

Answers

Answer:3rd one

Step-by-step explanation:

3rd one explanation

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

Answer:

The correct answer:

(B) reduction

Can someone give me the answer

Answers

Between 40 and 60 minutes the target heart rate strictly increasing then strictly decreasing. Therefore, option B is the correct answer.

From the given graph, in the first curve between the interval 0-10 speed is increasing,  between the interval 10-30 speed is constant and  between the interval 30-40 speed is decreasing.

In the second curve between the interval 40-50 speed is increasing,  between the interval 50-60 speed is decreasing, between the interval 60-65 speed is increasing and between the interval 65-73 speed is constant.

In the third curve between the interval 73-85 speed is increasing,  between the interval 85-92 speed is constant and  between the interval 92-100 speed is decreasing.

Therefore, option B is the correct answer.

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a librarian has weekends off and has 10 paid vacation days per year, including holidays that fall on weekends. If his salary is 32,500 per year, what is his pay per workday?

Answers

his pay per workday will be $127.45.

How to calculate interest?

Thus, the formula for calculating simple interest is J = C i t, where J is interest, C is principal, i is interest rate, and t is time. That is, J represents the amount added to the initial value, the capital is the calculation basis, the interest rate is the percentage applied on the capital and time is the capitalization period.

Knowing that:

10 paid vacation days per yearsalary is 32,500 per year

The total weekends in a year:

52 * 2 = 104 weekend days.

Total paid vacation days, including holidays that fall on weekends:

10 - 4 = 6 paid vacation days.

Total non-working days:

104 + 6 = 110 non-working days.

Total working days in a year:

365 - 110 = 255 working days.

Pay per workday = Annual salary / Total working days

= $32,500 / 255= $127.45

Therefore, the librarian's pay per workday is approximately $127.45.

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Question Find the distance between the two points. (12, 5), (−12, −2)

Answers

Answer:

Distance between points is 25 Units.

Step-by-step explanation:

To find the distance between two points, we can use the distance formula. The formula is:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Given the two points: (12, 5) and (-12, -2), we can assign the values as follows:

(x1, y1) = (12, 5)

(x2, y2) = (-12, -2)

Plugging the values into the distance formula, we get:

d = sqrt((-12 - 12)^2 + (-2 - 5)^2)

= sqrt((-24)^2 + (-7)^2)

= sqrt(576 + 49)

= sqrt(625)

= 25

Therefore, the distance between the points (12, 5) and (-12, -2) is 25 units.

Use the graph to answer the question.

Graph of polygon ABCD with vertices at negative 2 comma negative 1, 0 comma negative 4, 4 comma negative 4, 2 comma negative 1. A second polygon A prime B prime C prime D prime with vertices at 5 comma negative 1, 7 comma negative 4, 11 comma negative 4, 9 comma negative 1.

Determine the translation used to create the image.

7 units to the right
3 units to the right
7 units to the left
3 units to the left

Answers

The translation used to create the image A'B'C'D', from the pre image ABCD is T(7, 0), which corresponds with the option;

7 units to the right

What is a translation translation transformation?

The coordinates of the vertices of the polygon ABCD are;

A(-2, -1), B(0, -4), C(4, -4), D(2, -1)

The coordinates of the vertices of the polygon A'B'C'D' are;

A'(5, -1), B'(7, -4), C'(11, -4), D'(9, -1)

The coordinates of the vertices of the image indicates;

The difference between the coordinates are;

A'(5, -1) - A(-2, -1) = (5 - (-2), -1 - (-1)) = (7, 0)

B'(7, -4) - B(0, -4) = (7 - 0, -4 - (-4)) = (7, 0)

C'(11, -4) - C(4, -4) = (11 - 4, -4 - (-4)) = (7, 0)

D'(9, -1) - D(2, -1) = (9 - 2, -1 - (-1)) = (7, 0)

The translation that is used to create the image is therefore;

A translation 7 units to the right

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SOMEBODY PLEASE PLEASE HELP ME
ILL GIVE YOU 5 STARS, BRAINLIEST AND GIVE A HEART PLEASE HELP
(Please answer the questions and )

Answers

Part A ;

For Bus:

mean = 17.5

median = 15

mode= 15 and 16

Range= 17

For walking:

mean = 20.5

median = 20.5

mode= 20 and 21

Range= 3

How to calculate the various variables given above?

For Bus

To calculate the mean:

= 16+14+15+14+31+15/6

= 105/6

= 17.5

To calculate the median;

= 14,14,15,15,16,31

= 15+15/2 = 15

To calculate the range:

= 31-14 = 17

For walking;

To calculate the mean:

= 19+20+20+21+21+22/6

= 123/6

= 20.5 mins

To calculate the median

= 20+21/2

= 20.5

To calculate the mode:

=20 and 21

To calculate the range:

= 22-19

= 3

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Can someone answer this question

Answers

Answer:

The correct answer is (d): (x - 5) is a factor of f(x).

Step-by-step explanation:

Solve and graph. |3x+6/9|>=2

Answers

The solution to the inequality expression is -8/9 ≤ x ≥ 4/9

How to solve and graph the inequality expression

From the question, we have the following parameters that can be used in our computation:

|3x + 6/9| ≥ 2

Expand the inequality expression

So, we have

-2 ≤ 3x + 6/9 ≥ 2

Subtract 6/9 from both sides

So, we have

-24/9 ≤ 3x ≥ 12/9

Divide through the equation by 3

-8/9 ≤ x ≥ 4/9

Hence, the solution to the inequality expression is -8/9 ≤ x ≥ 4/9

The graph is attached

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FInd the measure of the arc using the picture provided , please and thanks

Answers

The measure of arc angle QTP is 204 degrees.

How to find arc angle?

When a tangent and a secant intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

Therefore, let's find the measure of arc angle QTP as follows:

90 = 0.5(x - 68)

90 = 0.5x - 34

0.5x = 124

x = 124 / 0.5

x = 248 degrees

Where

x = arc angle TSQ

Therefore,

arc QP = 44 degrees

Therefore,

arc QTP = 248 - 44

arc QTP = 204 degrees

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find the area of a triangle whose base is 8 inches and whose height is 12 in.
(a) 96in.²
(b) 10in ²
(c) 20in.²
(d) 48in.²​

Answers

Answer:

48in.²

Step-by-step explanation:

The formula for the area of a triangle is 1/2 x b x h

Since the b = 8 and the h = 12, substitute 8 and 12 for b and h.

1/2 x 8 x 12

4 x 12

48in.²

Answer:

d

Step-by-step explanation:

area= ½ × b × h

= ½ × 8 × 12

= ½ × 96

= ⁹⁶/²

= 48in²

how do you find out the area of a tent, floor included

Answers

To find the area of a tent, including the floor, we need to measure or determine the dimensions of both the tent's floor and any additional areas such as vestibules or extensions.

Floor Area: Measure the length and width of the tent's floor in the same unit of measurement (e.g., feet or meters). Multiply the length by the width to calculate the floor area. For example, if the length is 8 feet and the width is 6 feet, the floor area would be 8 feet * 6 feet = 48 square feet.Additional Areas: If the tent has vestibules, extensions, or any other separate areas, measure each area's dimensions and calculate their individual areas separately.Total Area: Once you have calculated the individual areas of the floor and any additional areas, simply add them together to find the total area of the tent, including the floor. For example, if the floor area is 48 square feet and there is an additional vestibule area of 10 square feet, the total area would be 48 square feet + 10 square feet = 58 square feet.

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how many triangles?(urgent)

Answers

There are 75 triangles that can be formed using these 9 vertices.

Here we have,

We have 9 vertices arranged in a pattern where 5 vertices are above and 4 vertices are below in a parallel direction.

And we want to know how many triangles can be formed using these vertices.

In order to this,

Count the number of ways to choose 3 vertices from the 9 vertices.

This can be done using the combination formula, which is:

[tex]^{9}C_{3}[/tex] = 9! / (3! * (9-3)!)

      = 84.

Since,

A degenerate triangle is one where all three vertices lie on the same line. To count the number of degenerate triangles,

We need to count how many ways we can choose 3 vertices that lie on the same line.

There are 5 lines with 3 points each (the 5 lines with the upper vertices). So the number of degenerate triangles is:

5 [tex]^{3}C_{3}[/tex] + 4  [tex]^{3}C_{3}[/tex] = 9.

Subtract the number of degenerate triangles from the total number of triangles to get the number of non-degenerate triangles.

Therefore, the number of non-degenerate triangles is:

84 - 9 = 75.

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Given f(x) = x^2 what is the range of g(x) = f(x+2)-5

Answers

The range of the function g(x) = f(x+2)-5 is:

R = [0, ∞)

What is the range of g(x) = f(x+2)-5?

For a function y = f(x), we define the range as the set of possible outputs of the function.

Here we want to find the range of:

g(x) = f(x+2)-5

Where f(x) = x²

Replacing f(x) in the rule for g, we will get the composition:

g(x) = (x + 2)² - 5

The first part can only be a positive number or 0, then the minimum of the range is -5

And then the function only grows, then the range of g(x) is:

R = [0, ∞)

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What are the side lengths of triangle Graph shows a triangle plotted on a coordinate plane. The triangle is at A(minus 7, 3), B(minus 3, 6), and C(5, 0). Type the correct answer in each box. If necessary, round any decimal to the nearest tenth. units units units

Answers

With the coordinate provided, the lengths of the triangle are Side AB =  5 units, Side BC = 10 units and Side CA = 12.4 units.

How do we find the sides of triangles using coordinates?

To find the side lengths of the triangle using the coordinates provided, we use the distance formul.

The distance between two points (x1, y1) and (x2, y2) is given by √((x2-x1)² + (y2-y1)²).

Side AB: Distance between A(-7, 3) and B(-3, 6)

= √((-3 - -7)² + (6 - 3)²)

= √((4)² + (3)²)

= √(16 + 9)

= √25

= 5 units

Side BC: Distance between B(-3, 6) and C(5, 0)

= √((5 - -3)² + (0 - 6)²)

= √((8)² + (-6)²)

= √(64 + 36)

= √100

= 10 units

Side CA: Distance between C(5, 0) and A(-7, 3)

= √((-7 - 5)² + (3 - 0)²)

= √((-12)² + 3²)

= √(144 + 9)

= √153

= 12.4 units

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100 Points! Algebra question. Photo attached. Please show as much work as possible. Thank you!

Answers

The probability of the digestive tract disease, given a positive test result, is 45%.

A. Two-Way Frequency Table:

Let's create a two-way frequency table to represent the situation:

                                      Test Positive             Test Negative           Total

Disease Present                   A                                 B              5,000

Disease Not Present           C                                 D              95,000

Total                                   5,000                     95,000     100,000

In this table:

A represents the number of sheep that have the disease and test positive.B represents the number of sheep that have the disease but test negative.C represents the number of sheep that do not have the disease but test positive.D represents the number of sheep that do not have the disease and test negative.

B. Probability of Disease Given Positive Test Result:

P(Disease | Positive)

= (P(Positive | Disease) x P(Disease)) / P(Positive)

= 0.94  x 0.05 / P(Positive)

To calculate P(Positive), we can use the law of total probability:

P(Positive) = P(Positive | Disease) x P(Disease) + P(Positive | No Disease) x P(No Disease)

So, P(Positive | No Disease) = 1 - P(Test Negative | No Disease)

= 1 - 0.94 = 0.06

P(No Disease) = 1 - P(Disease) = 1 - 0.05 = 0.95

Now, P(Positive) = (0.94 x 0.05) + (0.06 x 0.95)

= 0.047 + 0.057

= 0.104

Finally, we can calculate P(Disease | Positive):

P(Disease | Positive) = (0.94 x 0.05) / 0.104

= 0.047 / 0.104

≈ 0.452

Therefore, the probability of the digestive tract disease, given a positive test result, is 45%.

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Other Questions
Dapple Company is considering a capital investment in machinery: 8.Calculate the payback 9.Calculate the ARR. Round the percentage to two decimal places (Click the icon to view the data.) 10.Based on your answers to the above questions, should Dapple invest in the machinery? Let h be a secure cryptographic hash function. For this problem, a password consists of a maximum of 14-characters and there are 32 possible choices for each character. If a password is less than 14-char, it's padded with nulls until it is exactly 14 chars. Let P be the resulting 14 char password. Consider the following two password hashing schemes.(i) Password P is split into two parts, with X equal to the first 7 char and Y equal to last 7 char. The password is stored as (h(X), h(Y)). No salt is used.(ii) The password is stored as h(P). Again, no salt is used.Question:A. Assuming brute force attack, how much easier is it to crack the password if scheme(i) is used as compared with scheme (ii)?B. If scheme (i) is used, why might a 10 char password be less secure than a 7-char password? is a document that contains questions or blank spaces where the appilicant provides information what is the theory of purchasing power parity? does the theory successfully explain all long-run exchange rate movements? what are some reasons that it might not always explain such movements? how does the ppp impact customers and businesses differently? you decide to work in japan for the next ten years, accumulate some savings, then move back to the united states and convert your savings from yen to dollars. at the time of your move, economists predict that consumers in the united states have reignited their love of japanese products, especially hoverboards and 3d televisions, and expect this strong preference for japanese products will continue for the next decade. should these predictions encourage or discourage you from working and saving in japan why should you reconsider your move and/or reconsider it in the future? How can the amidomalonate method be applied to synthesize phenylalanine in two steps? In a survey conducted among some people of a community, 650 people like meat, 550 people don't like meat, 480 don't like fish and 250 like meat but not fish. (i) How many people were surveyed? (ii) How many people like fish but not meat? (iii) How many people are vegetarians? Match the task to the correct phase.1. creating the communication plan project-initiation phase 2. completing the project charter project-planning phase 3. noting the team's accomplishments project-closure phase 4. monitoring the project schedule project-execution phase tyner et al. (2002) found that strains of mice with elevated expression of the protein p53 ________________________________. Joyce is paid $14. 85 an hour for a regular 40-hour week. Her over time pay is time and a half her hourly rate. This past week, Joyce earned $727. 65 in total pay. How many hours of overtime did she work? Kindly solve this question as soon as possible using the concept pf graph theorySuppose Kruskals Kingdom consists of n 3 farmhouses, which are connected in a cyclical manner. That is, there is a road between farmhouse 1 and 2, between farmhouse 2 and 3, and so on until we connect farmhouse n back to farmhouse 1. In the center of these is the kings castle, which has a road to every single farmhouse. Besides these, there are no other roads in the kingdom. (a) Find the number of paths of length 2 in the kingdom in terms of n. Justify your answer. (b) Find the number of cycles of length 3 in the kingdom in terms of n. Justify your answer. (c) Find the number of cycles in the kingdom in terms of n. right-clicking a column heading, then selecting insert, will add a new column to the left of the current column.T/F? (a) What is the rate of heat conduction through the 3.00-cm-thick fur of a large animal having a 1.40-m2 surface area? Assume that the animals skin temperature is 32.0C , that the air temperature is 5.00C , and that fur has the same thermal conductivity as air. (b) What food intake will the animal need in one day to replace this heat transfer? write lead variables in terms of the free vraibles What is the main theme reflected in this excerpt from Ulysses by Alfred, Lord Tennyson?There gloom the dark broad seas. My mariners,Souls that have toil'd, and wrought, and thought with me--That ever with a frolic welcome tookThe thunder and the sunshine, and opposedFree hearts, free foreheads--you and I are old; Old age hath yet his honour and his toil.Death closes all; but something ere the end,Some work of noble note, may yet be done,Not unbecoming men that strove with Gods. A. The old have free hearts and free minds. B. The mariners have toiled hard to avoid the dark and broad seas. C. It is very important to have free time and sunshine in life. D. The old can regain honor by taking up challenges again. a volume of 100 ml of 1.00 m hcl solution is titrated with 1.00 m naoh solution. you added the following quantities of 1.00 m naoh to the reaction flask. classify the following conditions based on whether they are before the equivalence point, at the equivalence point, or after the equivalence point. the fuel tank of a truck has a capacity of 55 gal. if the tank is full of gasoline 1sg = 0.7512, what is the mass and weight of the gasoline in si units? which of the following is a valid metacharacter that can be used in the bash shell to escape or ignore the shell's special meaning for the character that immediately follows? the term structure of interest rates tells us what _________ interest rate are on default-free, pure discount bonds of all maturities. represents the curvilinear effect. In a quadratic regression model, the O A) slope of the linear term O B) error term O C) slope of the quadratic term OD) R Square 11.how is the molar solubility of a slightly soluble salt affected by the addition of an ion that is common to the salt equilibrium?