Part a: Assume that the height of your cylinder is 8 inches. Consider A as a function of r , so we can write that as A(r)=2πr2+16πr . What is the domain of A(r) ? In other words, for which values of r is A(r) defined?


Part b: Continue to assume that the height of your cylinder is 8 inches. Write the radius r as a function of A . This is the inverse function to A(r) , i.e to turn A as a function of r into. r as a function of A .




r(A)=








Part c: If the surface area is 150 square inches, then what is the rardius r ? In other words, evaluate r(150) . Round your answer to 2 decimal places.


Hint: To compute a numeric square root such as 17.3−−−−√ , you could


Use a spreadsheet such as Microsoft Excel or OpenOffice Calc and type in =sqrt(17.3)

Use a browser to connect to the Internet and type in sqrt(17.3) into a search field

Use a calculator



The radius is

Number

inches if the surface area is 150 square inches.

Answer:

The slope intercept form is. y = 1/4x - 4

Answer: 2.333333...

Step-by-step explanation:

If we apply rise over run, we see that it rises 3.5 spaces, and runs 1.5, which means that   \(m = \frac{rise}{run} = \frac{3.5}{1.5} = 2.33333...\)

Answer:

\(x=11\)

Step-by-step explanation:

It is a linear pair

\(7x + 12 + 8x + 3 = 180\)

\(15x + 15 = 180-15\\15x = 165\)

\(x=11\)

This value is approximate.

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Explanation:

Let's compute the z score for x = 40

z = (x-mu)/sigma

z = (40-47)/7

z = -1

We're exactly one standard deviation below the mean.

Repeat these steps for x = 68

z = (x-mu)/sigma

z = (68-47)/7

z = 3

This score is exactly three standard deviations above the mean.

Now refer to the Empirical Rule chart below. We'll add up the percentages that are between z = -1 and z = 3. This consists of the two pink regions (each 34%), the right blue region (13.5%) and the right green region (2.35%). These percentages are approximate.

34+34+13.5+2.35 = 83.85

Roughly 83.85% of the one-mile roadways have between 40 and 68 potholes.

To find the radius of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the volume is 824 cubic inches, we can rearrange the formula to solve for the radius:

824 = πr²h

Since the height is not given, we cannot find the exact radius. However, we can still determine the relationship between the height and radius if the volume remains the same.

b. If the height of the cylinder is changed, but the volume stays the same, the radius will change inversely proportional to the height. This means that as the height increases, the radius will decrease, and vice versa. This relationship ensures that the volume remains constant.

Therefore, we cannot determine the exact radius without knowing the height, but we can conclude that the radius and height have an inverse relationship.

A statement that best explains the paradox that occurs to Alexia at the end of the passage is she realizes that the reward is not worth the cost. The Option A is correct.

“Hey, Sis,” Eric answered after two rings, shouting over loud music in the background. “Where’ve you been? Why didn’t you return my calls?”

“Sorry, Eric,” Alexia bit her lip guiltily. “I’ve been really busy.”

“Well, I’m sorry too,” Eric replied, “because my old band just asked me to sit in on their weekend shows and I won’t be able to see you at all now.”

Alexia’s heart plummeted. “Oh, Eric, can’t I come see you?”

“No, we’re traveling around the state,” Eric said. “I won’t be back home from school again until spring. I hope whatever was keeping you so busy was worth it. I miss you, Lex.”

As Alexia said goodbye, she noticed that her likes had topped 5,000. She had won, but somehow, she didn’t feel victorious at all.

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Answer:

x< -12

Step-by-step explanation:

-1/2x>6
x-2.   x-2

x>-12

Since we multiply by we negative we flip the sign

x< -12

Hopes this helps

Answer:

Feet to Miles

Step-by-step explanation:

Answer:

Feet to Miles

Step-by-step explanation:

Both units must measure the same quantity.

The price of an adult ticket is x= $10

What is mathematical expression?

A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Let the adult ticket be x

Let the children ticket be y

first day,

1*x + 6*y = 52

x + 6y = 52   equation 1

second day,

1*x + 8*y = 66

x + 8y = 66   equation 2

Solving both the equations

Subtracting equation 2 -equation 1, we get

x + 8y - x - 6y = 66 - 52

2y = 14

y = 7

putting the value of y in equation 1, we get

x + 6*7 = 52

x = 52 - 42

x = 10

Therefore, price of an adult ticket is x= $10

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Answer: Answer is B hope this helps

Step-by-step explanation:

Answer:

the correct answer is D. Hope it helps

Answer:

The probability of getting a 2, 4, or 6 when a dice is rolled is 1/2, or 50%. This is because there are six possible outcomes when a dice is rolled, and three of them are favorable outcomes (2, 4, or 6). Therefore, the probability of getting a 2, 4, or 6 is 3/6, which simplifies to 1/2 or 50%.

Implementation of the functions you described in Python is mentioned below.

Functions typically take one or more inputs (known as arguments or parameters) and may also return one or more outputs. The inputs are passed to the function when it is called, and the outputs are returned back to the calling code.

Functions can be defined in many programming languages using a variety of syntax, but they typically follow a similar structure:

Function signature: This includes the name of the function, the input parameters, and the return type (if any).

Function body: This is the code that performs the specific task of the function.

Return statement: This is an optional statement that specifies the value or values to be returned by the function.

Here's an example implementation of the functions you described in Python:

# define the 2D list

cities = [["Miami", "Atlanta", "Dallas", "Los Angeles"],

         ["New York", "Chicago", "Portland", "Sacramento"]]

# function to print the list

def printList(lst):

   for row in lst:

       for col in row:

           print(col, end=" ")

       print()

# function to flip the order of each sublist

def fliporder(lst):

   for row in lst:

       row.reverse()

   lst.reverse()

   printList(lst)

# print the original list

print("Original List:")

printList(cities)

# flip the order of each sublist and print the reversed list

print("\nReversed List:")

fliporder(cities)

This code first defines the 2D list cities, which contains two sublists of cities. The printList() function is then defined to print out each element of the list, and the fliporder() function is defined to reverse the order of each sublist and then reverse the entire list. Finally, the original list is printed using the printList() function, and the reversed list is printed using the fliporder() function.

The output of this code would be:

Original List:

Miami Atlanta Dallas Los Angeles

New York Chicago Portland Sacramento

Reversed List:

Los Angeles Dallas Atlanta Miami

Sacramento Portland Chicago New York

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Answer:

This is false

Step-by-step explanation:

The statements that are true are:

Clayton could use the relationship (x, y) right-arrow (y, x) to find the points of the image.

Clayton could negate both the x and y values in the points to find the points of the image.

C’ will move because all points move in a reflection.

The image and the pre-image will be congruent triangles.

The image and pre-image will not have the same orientation because reflections flip figures.

Options A, B, D, E, and F.

There are two ways of reflection.

Along x-axis:

(x, y) – (x, -y)

Along y-axis:

(x, y) - (-x, y)

We have,

Clayton could use the relationship (x, y) → (y, x) to find the points of the image.

This is the y = x reflection rule.

This is true.

Clayton could negate both the x and y values in the points to find the points of the image.

Reflection of (x, y) along the x-axis and y-axis consecutively will give us

(-x, -y).

This is true.

C’ will remain in the same location as C because it is on the line of reflection.

This is not true.

C’ will move because all points move in a reflection.

This is true.

The image and the pre-image will be congruent triangles.

This is true.

The image and pre-image will not have the same orientation because reflections flip figures.

This is true.

Thus,

All statements are true except the statement:

C’ will remain in the same location as C because it is on the line of reflection.

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Answer:

Plays no role in determining the feasible region of the problem.

Step-by-step explanation:

A Constraints

These are refered to as the restrictions that hinders or reduces the extent to which the/an objective can be worked on/pursued.

A redundant constraint

These are constraints that can be ignored from a system of linear constraints. It is often refered to as an Implied constraints. That is, they are implied by the constraints that surrounds (totality of) the problem.

This is a type of constraint that is not influenced or affected by the feasible region.

Its qualities includes

1. It does not hinders the optimal solution.

2. It also do not hinders the feasible region.

3. It is easily known with the use of graphical solution method

Young adults might value credit in case of an emergency for several reasons. Firstly, credit provides financial flexibility, allowing them to access funds quickly when unexpected expenses arise.

This can be essential for covering costs related to medical emergencies, car repairs, or other unforeseen events that may strain their limited savings. Secondly, young adults often have less established financial safety nets than older individuals. They may not have significant savings, insurance policies, or support from family members to fall back on during emergencies. Credit, in this case, acts as a temporary financial cushion, enabling them to manage immediate needs without resorting to high-interest loans or further jeopardizing their financial stability.

Thirdly, responsible use of credit can help young adults build a positive credit history. Demonstrating responsible borrowing and repayment habits will make it easier for them to access more favorable credit terms in the future, such as lower interest rates or higher credit limits. This can prove valuable when making significant purchases, like buying a home or financing higher education.

Lastly, having access to credit can also provide young adults with a sense of financial independence and empowerment. Knowing they have the means to handle emergencies without relying on others can boost their confidence in managing personal finances and help them make more informed financial decisions as they navigate adulthood.

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a) Approximately 62.5% of policyholders will renew at least one policy next year.

b) If a randomly selected policyholder renews next year, the probability that he or she has both life and major medical insurance is approximately 0.288 or 28.8%.

a. To calculate the percentage of policyholders that will renew at least one policy next year, we need to use the formula for the probability of the union of two events:

P(A U B) = P(A) + P(B) - P(A ∩ B)

where A and B are two events, and A ∩ B denotes their intersection.

Let L and M denote the events that a policyholder has term life insurance and major medical insurance, respectively. Then, we have:

P(L) = 0.75, P(M) = 0.45, and P(L ∩ M) = 0.20

From the given information, we know that:

70% of those with only life insurance will renew next year, i.e.,

P(renew | L) = 0.70

80% of those with only major medical insurance will renew next year, i.e.,

P(renew | M') = 0.80, where M' denotes the complement of M (i.e., not having major medical insurance)

90% of those with both types of policies will renew at least one of them next year, i.e., P(renew | L ∩ M) = 0.90

Using these probabilities, we can calculate the probability that a policyholder will renew at least one policy next year:

P(renew) = P(renew | L) * P(L) + P(renew | M') * P(M') + P(renew | L ∩ M) * P(L ∩ M)

= 0.70 * 0.75 + 0.20 * (1 - 0.45) + 0.90 * 0.20

= 0.625

b. We want to find the probability that a policyholder has both types of policies given that they renewed at least one policy next year, i.e., we need to calculate:

P(L ∩ M | renew)

Using Bayes' theorem, we can write:

P(L ∩ M | renew) = P(renew | L ∩ M) * P(L ∩ M) / P(renew)

We have already calculated P(renew) in part (a) and P(L ∩ M) = 0.20. To find P(renew | L ∩ M), we can use the given information that 90% of those with both types of policies will renew at least one of them next year, i.e., P(renew | L ∩ M) = 0.90.

Substituting these values, we get:

P(L ∩ M | renew) = 0.90 * 0.20 / 0.625

= 0.288 (rounded to three decimal places)

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Answer:

3 Stamps left

Step-by-step explanation:

275/8=34.375

34*8=272

275-272=3

Answer: 3

The bearing from the phone to the transmitter is approximately 31 degrees to the east of the north direction.

To determine the bearing from the phone to the transmitter, we can use trigonometry.

The bearing is typically measured clockwise from the north direction.

Given that the transmitter is 13 km west and 21 km south of the phone, we can form a right triangle with the phone as the vertex angle.

The side opposite to the vertex angle represents the north-south direction, and the side adjacent to the vertex angle represents the east-west direction.

Using the tangent function, we can calculate the angle:

tangent(angle) = (opposite side) / (adjacent side)

tangent(angle) = 21 km / 13 km

Taking the inverse tangent (arctan) of both sides, we find:

angle = arctan(21 km / 13 km)

Evaluating this using a calculator, we find the angle to be approximately 58.57 degrees.

However, since the bearing is measured clockwise from the north, we need to subtract this angle from 90 degrees (which represents the north direction) to obtain the bearing:

bearing = 90 degrees - 58.57 degrees

Calculating this, we find the bearing to be approximately 31.43 degrees.

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If salary average of 4 players is making $200,000/yr, what's the total payroll?  It should be $200K x 4 or $800,000.

Now if you add in that 5th player at $400,000 what is the total payroll of all 5 players?  It should be $800,000 + $400,000 = 1,200,000.  From there you can find the average of the 5 players by dividing!

Answer:

none im pretty sure

Step-by-step explanation:

only when its -1 in front of it tho

Answer:

400 unit

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

area us length times width

Answer:

D

Step-by-step explanation:

The mean of a standard normal distribution is always = 0 with the standard deviation being equal to. Therefore a standard normal distribution is a normal distribution described with a mean of 0 and standard deviation of 1. Since a standard normal distribution is centered at the middle with equal distribution to both the left and right of the distribution. The centre point is 0, which is the mean and the standard deviation is 1 to either side of the distribution.

Answer:

7/42 and 18/42

Step-by-step explanation:

Answer:

7/42 and 1 8/42

The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

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If my bowl of easter candy has colorful foil-wrapped chocolate eggs. there are 5 gold, 7 blue, and 10 pink. The probability that she reaches in without looking and gets a chocolate candy wrapped in pink foil is 0.45.

Total color = 5 gold + 7 blue + 10 pink

Total color = 22

Now let find the probability that she reaches in without looking and gets a chocolate candy wrapped in pink foil

Probability (pink) = 10/22

Probability (pink) = 0.45

Therefore the  probability of Callie Brooke getting a pink foil-wrapped chocolate egg is 10/22, or approximately 0.45.

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