Label each figure with the correct volume form What is the volume, in cubic centimeters, of the cylinder below?



40
�
40π

80
�
80π

160
�
160π

640
�
640πula.

4) Let the number be : N

Given : 10% of this number is 25

\(\sf{\implies 10\% \ of \ N = 25}\)

\(\sf{\implies \dfrac{10}{100} \times N = 25}\)

\(\sf{\implies \dfrac{N}{10} = 25}\)

\(\sf{\implies N = 250}\)

Now we need to find 60% of 250

\(\sf{\implies \dfrac{60}{100} \times 250}\)

\(\sf{\implies 6 \times 25}\)

\(\sf{\implies 150}\)

5) Given : James left the home at 10 : 00 AM

First : He will meet his friend Tom at the skate park which is 15 minutes walk from his home.

So, James reached the skate park 10 : 15 AM

Second : They stayed at the skate park for an hour

So, till 11 : 15 AM James and Tom were at skate park

Third : Then they will take a 10 minutes walk over to the Burger bar

So, James and Tom reached the Burger bar at 11 : 25 AM

6) First let us find 75% of 80

\(\sf{\implies \dfrac{75}{100} \times 80}\)

\(\sf{\implies 15 \times 4}\)

\(\sf{\implies 60}\)

Now let us find 40% of 30

\(\sf{\implies \dfrac{40}{100} \times 30}\)

\(\sf{\implies 12}\)

Now, (60 - 12) = 48

Answer: 75% of 80 is 48 greater than 40% of 30

7) Given : Journey to school takes 70 minutes

We know that : 1 hour = 60 minutes

So, 70 minutes = 1 hour + 10 minutes

Given : Boy leaves the home at 0715

Answer: The Boy arrives at 0825

The nearest whole number after rounding is, 14

Rounding a number to the nearest tenth means finding the nearest multiple of 0.1.

To do this, you need to look at the digit in the hundredths place (the second digit after the decimal point) of the number you want to round.

If that digit is 5 or greater, you round the number up by adding 0.1 to the nearest whole number.

If that digit is 4 or less, you round the number down by leaving the nearest whole number unchanged.

For example, rounding 3.456 to the nearest tenth gives 3.5, while rounding 3.444 to the nearest tenth gives 3.4.

Given that,

The decimal number  13.5,

after using rules of rounding,

it can be rounded as 14

Hence, the nearest whole number is 14

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6 students can be seated in a row of 6 chairs in 121 ways.

Given,

Number of students = 6

Number of chairs = 6

We have to find the number of ways the students can be seated in a row.

Here,

Jack insists on sitting in the first chair.

So, 1 way of sitting for jack.

Next,

5 students and 5 chairs are there.

So they can sit in;

5! = 120 ways

Therefore,

Total number of way of sitting is 120 + 1 = 121 ways.

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The total number of hands that contain exactly two 3s and two 6s is: 6 * 6 * 44 = 1584.

To find the number of hands that contain exactly two 3s and two 6s when 5 cards are randomly chosen from a standard deck of playing cards, we can use combinatorics.

First, we need to choose the two 3s from the four 3s in the deck. This can be done in (4 choose 2) = 6 ways.

Next, we need to choose the two 6s from the four 6s in the deck. This can also be done in (4 choose 2) = 6 ways.

After selecting the 3s and 6s, we have one remaining card to choose from the remaining 44 cards in the deck.

Thus, the total number of hands that contain exactly two 3s and two 6s is: 6 * 6 * 44 = 1584.

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Answer:

y = -3/2x + 6

Step-by-step explanation:

Slope m = (y2 - y1)/(x2 - x1)

m = (6 - 0)/(0 - 4) = 6/-4 = -3/2

Slope-intercept form is y = mx + b

Substitue m = -3/2, y = 0, x = 4

0 = -3/2(4) + b

b = 6

y = -3/2x + 6

The amount of wrapping paper that she used in square centimeters is: 336 cm²

To find the total surface area, we need to find the area of each individual face and then sum them up.

Formula for area of triangle is:

A = ¹/₂ * base * height

Formula for the area of a rectangle is:

A = length * width

Thus:

Total surface area = (10 * 12) + (12 * 8) + 2(¹/₂ * 6 * 8) + (12 * 6)

Total surface area = 120 + 96 + 48 + 72

= 336 cm²

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Answer:

You buy the following from Best Buy:

1 new Chromebook for $550, 1 wireless mouse for $20, 1 wireless keyboard for $20

What is the Subtotal:

You use your Elite Members Best Buy credit card to save 6%, how much do you save:

What is the new Subtotal: $

Sales tax is 5%: $

What is the total: $

Step-by-step explanation:

Answer:

1/36.

Step-by-step explanation:

A total number of possible outcomes = 36.

To get a sum of 12 the possible outcomes are just 6,6.

The distance L from the point (x, y) on the graph of the line 6x + 4y = 7 to the origin (0, 0) can be expressed as a function of x as L(x) = |(7 - 6x)/√(36 + 16)|.

To find the distance from a point to the origin, we can use the distance formula. The distance between two points (x1, y1) and (x2, y2) is given by √[\((x2 - x1)^2 + (y2 - y1)^2\)].

In this case, the point (x, y) lies on the line 6x + 4y = 7. We can rewrite this equation in terms of y as y = (7 - 6x)/4.

To find the distance from (x, y) to the origin (0, 0), we substitute the values into the distance formula:

L(x) = √[\((x - 0)^2 + ((7 - 6x)/4 - 0)^2\)]

= √[\(x^2 + (7 - 6x)^2/16\)]

= √[\(16x^2 + (7 - 6x)^2\)]/4

= √[\(256x^2 + (49 - 84x + 36x^2)\)]/4

= √[\((292x^2 - 84x + 49)\)]/4

Simplifying further, we get L(x) = |(7 - 6x)/√(36 + 16)|, which represents the distance from the point (x, y) to the origin (0, 0) as a function of x.

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Answer:

\(6 {x}^{2} + 21x + 18 \)

Step-by-step explanation:

\((2x + 3)(3x + 6)\)

\(6 {x}^{2} + 12x + 9x + 18\)

\(6 {x}^{2} + 21x + 18\)

The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, & The mass-normalised mode shapes can be  normalising the mode shape vectors f1, f2, and f3.

Part (a)

In Equation Q2, the spectral matrix, undamped natural frequencies, damping ratios, and fundamental frequency need to be calculated.

The mass matrix is given by [85.16400 083.3770 0046.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The stiffness matrix is given by [0.16400 00.3770 000.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The damping matrix is given by [0 0 0; 0 0 0; 0 0 0].The undamped natural frequencies, damping ratios, and fundamental frequency for the system in Equation Q2 can be calculated from the spectral matrix.

The characteristic equation can be written as det(K-mω^2M)=0.where K is the stiffness matrix, M is the mass matrix, ω is the angular frequency, and m is the mass-normalised mode shape.

The roots of this equation are the undamped natural frequencies, and the damping ratios can be calculated from the undamped natural frequencies and mode shapes.

The mass-normalised mode shapes can be calculated by normalising the mode shape vectors f1, f2, and f3.

Part (b)

The mass-normalised mode shapes can be calculated using the mode shape vectors f1, f2, and f3.Part (c)The response of the system for the first physical coordinate y1 can be calculated using the mode superposition method. The initial modal displacements and velocities are given in terms of the modal coordinates.

The response is then calculated using the equation y(t)= Σ ai φi(t), where ai are the modal amplitudes, and φi(t) are the modal shapes given by the mode shape vectors f1, f2, and f3.

The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, where Y is the vector of physical coordinates. The modal amplitudes can be calculated from the initial modal displacements and velocities.

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The measure of the indicated angle to the nearest degree can be found to be A. 51 degrees .

The cosine function is defined as the ratio of the adjacent side to the hypotenuse in a right triangle .

In this case , the adjacent side is 17 and the hypotenuse is 27 . This means that the angle can be found to be :
Cos ( angle ) = Adjacent / Hypotenuse

Cos ( angle ) = 17 / 27

Angle = Cos ⁻ ¹ ( 17 / 27 )

Angle = 50. 98 degrees

Angle = 51 degrees

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Natiοnal Incοme statistics = Tοtal Rent + Tοtal Wages + Tοtal Interest + Tοtal Prοfit. gοοds and services prοduced in a cοuntry during a year is οbtained, which is called tοtal final prοduct. This represents Grοss Dοmestic Prοduct ( GDP ).

Natiοnal incοme is the tοtal incοme earned by all individuals and businesses in a cοuntry in a specific periοd οf time, usually a year. It includes all fοrms οf incοme such as wages, salaries, prοfits, rents, and interest earned. Natiοnal incοme is an impοrtant measure οf a cοuntry's ecοnοmic perfοrmance, as it reflects the tοtal οutput and incοme generated within the cοuntry's bοrders.

Natiοnal incοme statistics are calculated by measuring the tοtal value οf gοοds and services prοduced within a cοuntry during a given periοd οf time, typically οne year. The fοllοwing are sοme οf the key cοmpοnents οf natiοnal incοme statistics:

Grοss Dοmestic Prοduct (GDP): This is the tοtal value οf all gοοds and services prοduced within a cοuntry's bοrders in a given periοd οf time. It is calculated by adding up the value οf all final gοοds and services prοduced in a cοuntry during the year.

Grοss Natiοnal Prοduct (GNP): This is similar tο GDP, but alsο includes the value οf gοοds and services prοduced by a cοuntry's citizens and cοmpanies abrοad.

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Answer:

A rectangular football field is 646464 meters wide and 100100100 meters long

How far d

Step-by-step explanation:

Answer:

691,2

Step-by-step explanation:

i found that

is it true ?

i hope it helps ! ?

1.823 radians  are the coordinates of A and A,  The coordinates of B' are; B' = (-3 * 4, -2 * 4) = (12, -8)  

a) To enlarge a triangle with a scale factor of 4, we need to first enlarge the original triangle by a scale factor of 1, and then reflect it across the y-axis.

The coordinates of A can be found using the law of sines:

sin(A) = (a/2) / sin(c)

where a is the semi-perimeter of the original triangle, c is the semi-perimeter of the enlarged triangle, and sin(A) is the length of side A.

Substituting the given values, we get:

sin(A) = (4/2) / sin(6)

= 2 / 3 sin(6)

sin(6) = (a/2) / sin(A)

= (4/2) / 2 / sin(2)

= (4/2) / 2 * sin(2) / sin(A)

= (4/2) * sin(A) / sin(2)

= 4 * sin(A) / 3

Therefore, the length of side A is:

A = sin^-1(4 * sin(A) / 3)

= sin^-1(4) - sin^-1(sin(A) / 3)

= 1.823 radians

To find the coordinates of A', we can reflect the point A across the y-axis. The reflection is given by the equation:

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

Substituting the coordinates of A, we get:

A' = (-1.823, 1.823)

b) To find the coordinates of B', we need to find the coordinates of B first. We can do this by reflecting the point B across the y-axis using the equation:

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

Substituting the coordinates of B, we get:

B = (-3, -2)

The coordinates of B' are:

B' = (-3, -2)

Since the triangle is enlarged with a scale factor of 4, the coordinates of B' will be multiplied by 4. Therefore, the coordinates of B' are:

B' = (-3 * 4, -2 * 4) = (12, -8)  

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The new function after the parent function f(x)=2^(x) is horizontally shrunk by a factor of two, translated right by 10 and translated 5 units down is f(x) = 2^((x-10)/2) - 5.

- Horizontal shrink by a factor of two: This means that the x-value of each point on the graph will be divided by 2. To achieve this, we can multiply the x-value inside the function by 1/2, or divide it by 2. So, the function becomes

f(x) = 2^((x/2))

- Translation right by 10: This means that the entire graph will shift 10 units to the right. To achieve this, we can subtract 10 from the x-value inside the function. So, the function becomes

f(x) = 2^((x-10)/2)

- Translation 5 units down: This means that the entire graph will shift 5 units down. To achieve this, we can subtract 5 from the entire function. So, the function becomes

f(x) = 2^((x-10)/2) - 5

Therefore, the new function is f(x) = 2^((x-10)/2) - 5

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Answer:

YES!

Step-by-step explanation:

UwU

Answer:

-i

Step-by-step explanation:

rewrite

one to any power is one

multiply

rewrite

Answer:

-i

Step-by-step explanation:

i^30 × i

(i^2)^15 × i

(-1)^15 × i

-1 × i

-i

Answer:

\(y = -\frac{8}{x}\)

Step-by-step explanation:

Given

Inverse Variation:

\(Points: \{(-1, 8), (4, -2), (-2, 4)\}\)

Required

Determine the equation of the relation

An inverse relation is represented as:

\(y = \frac{k}{x}\)

Where k = constant of variation

Make k the subject:

\(k = xy\)

When x = -1, y = 8

So, we have:

\(k = -1 * 8\)

\(k = -8\)

When x = 4, y = -2

\(k = 4 * -2\)

\(k = -8\)

When x = -2, y = 4

\(k= -2 * 4\)

\(k = -8\)

From above calculations, we've established that:

\(k = -8\)

Substitute -8 for k in \(y = \frac{k}{x}\)

\(y = \frac{-8}{x}\)

\(y = -\frac{8}{x}\)

Hence, the equation is:

\(y = -\frac{8}{x}\)

The probability of rolling two fair 6-sided dice and getting an even sum is 1/2.

When rolling two dice, the total number of possible outcomes is 6 x 6 = 36, as each die has 6 possible outcomes.

We need to find the probability that the sum of the two numbers shown on the dice is even.

There are two cases to consider:

Case 1: The sum of the two numbers is even.

Case 2: The sum of the two numbers is odd.

Let's first consider Case 1:

To get an even sum, the two numbers on the dice must be either both even or both odd.

The probability of getting an even number on one die is 3/6 (since there are 3 even numbers on a 6-sided die). Therefore, the probability of getting an even number on both dice is (3/6) x (3/6) = 9/36.

Similarly, the probability of getting an odd number on one die is also 3/6, so the probability of getting an odd number on both dice is (3/6) x (3/6) = 9/36.

Therefore, the probability of getting an even sum is:

P(even sum) = P(both even) + P(both odd)

           = 9/36 + 9/36

           = 18/36

           = 1/2

Now let's consider Case 2:

To get an odd sum, one of the numbers on the dice must be odd and the other even.

The probability of getting an odd number on one die is 3/6, and the probability of getting an even number on the other die is also 3/6. Therefore, the probability of getting an odd sum is:

P(odd sum) = P(one even, one odd)

          = 2 x (3/6) x (3/6)

          = 9/36

Therefore, the probability of getting an even sum is 1/2 and the probability of getting an odd sum is 1/2. Since these are the only two possible outcomes, they must add up to 1.

In conclusion, the probability of rolling two fair 6-sided dice and getting an even sum is 1/2.

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Answer:

90 obtuse

Step-by-step explanation:

A simple linear regression model only includes one independent variable, while a multiple linear regression model includes two or more independent variables. The purpose of both models is to examine the relationship between the dependent variable and the independent variable(s) and to make predictions based on that relationship.

If the same dependent variable and independent variable(s) were used in both the simple and multiple linear regression tests, then it is possible that the results could be different. The multiple linear regression model may provide a more accurate prediction of the dependent variable since it takes into account multiple independent variables. Overall, without more information about the data and the specific models used, it is difficult to determine whether the results of the simple and multiple linear regression tests were different or not.

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Answer:

196 in²

Step-by-step explanation:

Given that the scale factor is a : b , then

the area factor is a² : b²

Here the scale factor is 1 : 7 , thus

area scale factor is 1² : 7² = 1 : 49

That is the area of the dilated square is 49 times the original square.

area of dilated square = 4 × 49 = 196 in²

The expression simplifies to 1, which means that 100,000 • 1/100,000 is equal to 1.

The exponential expression that is equivalent to 100,000 • 1/100,000 is:

\((10^5) * (10^-5)\)

To simplify this expression using addition or multiplication on the powers, we can use the property of exponents that states:

\(a^m *a^n = a^{(m+n)\)

This means that when we multiply two numbers with the same base, we can add their exponents to simplify the expression. However, this property does not work for division, as we need to subtract the exponents instead.

Using this property, we can simplify the expression as follows:

\((10^5) * (10^-5) = 10^{(5-5)} = 10^0 = 1\)

Therefore, the expression simplifies to 1, which means that 100,000 • 1/100,000 is equal to 1. We can see that in this case, addition and multiplication do not help us simplify the expression, but we can use the exponent property to do so.

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Answer:

The median is 33.5

Step-by-step explanation:

In order to solve for a median it would either be the middle or it would be the average of the middle if there are even amount of numbers. First you would put them in order. 12 17 28 31 36 54 55 and 71. This would mean the the middle number would be 31 and 36. Since you can't have two medians you would find the average of the two so add 31 and 36 which would be equal to 67 then divide by 2 which would equal to 33.5.

The median of numbers 17, 12, 54, 36, 71, 28, 31, 55 is 33.5.

The median of a set of numbers is the middle value when the numbers are arranged in ascending or descending order.

To find the median of the given numbers, we first need to arrange them in ascending order:

12 17 28 31 36 54 55 71

Since there are an even number of numbers (8), the median will be the average of the two middle values, which are 31 and 36.

To find the average, we add the two numbers and divide by 2:

(31 + 36) / 2 = 67 / 2 = 33.5

Therefore, the median of the given numbers is 33.5.

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Answer:

Answer: The line does not represent a direct variation because it does not go through the origin.

Answer:

720

Step-by-step explanation:

The lock requires that repetition is not allowed.

The possibles numbers are 0 - 9, that is, 10 digits.

The first number in the combination can be picked from the 10 digits.

This means that there are 10 possible choices.

The second number in the combination can now only be picked from 9 digits.

This means that there are 9 possible choices.

The third number in the combination can now only be picked from 8 digits.

This means that there are 8 possible choices.

Therefore, the number of possible outcomes in the combination is:

10 * 9 * 8 = 720 outcomes

Selective Perception and Action Path can help in making a decision on whether to continue or modify the policy by considering biases in perception and developing a clear plan of action based on gathered information and stakeholder input.

In the given scenario, several of the mentioned best practices can be useful for making a decision on how to proceed with the office policy. Let's explore some of them:

1. Deviation from Standard: This best practice suggests considering alternative approaches to the existing policy. You can analyze whether the current policy of bringing people back into the office is still effective and explore other possibilities, such as a hybrid model or flexible work arrangements.

This allows you to deviate from the standard approach and adapt to the current situation.

2. Six Honest Servingmen: This principle encourages asking critical questions to gather relevant information. You can apply this by gathering feedback from employees to understand their perspective on productivity, job satisfaction, and the impact of working in the office versus remotely.

By considering the opinions and experiences of your team members, you can make a more informed decision.

3. So What? What if?: This approach involves considering the potential consequences and exploring different scenarios. You can ask questions such as "What if we continue with the current policy?" and "What if we modify the policy to accommodate remote work?"

By evaluating the potential outcomes and weighing the pros and cons of each option, you can make a decision based on informed reasoning.

4. Meaningful Experience: This principle emphasizes the importance of drawing insights from past experiences. In this case, you can review the productivity data from the two years of remote work and compare it to the three months since the return to the office.

If there is a noticeable decrease in productivity, you can take this into account when deciding whether to continue with the current policy or make adjustments.

5. Action Path: This best practice involves developing a clear plan of action. Once you have considered the various factors and options, you can create an action plan that outlines the steps to be taken.

This could involve conducting surveys, seeking input from team members, analyzing data, and consulting with relevant stakeholders. Having a well-defined action path can help you make an informed decision and communicate it effectively to your team.

By applying these best practices, you can gather information, analyze the situation, consider different perspectives, and develop a well-thought-out plan for how to proceed with the office policy.

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