according to mill, what advantages do moral rules have over act-calculus?

Answer:

1. 2/3

2. 0

3. 7/2

4. -2

5. -2

6. 1

7. -4/3

8. Undefined

9. 8

10. 9/5

Answer:

x = 23

Step-by-step explanation:

I hope this helps! Have a good day! :)

Based on the given graph, the function that must represent this graph is D. F(x)=[1/2x]+2.

The graph shows that it has a y-intercept of 2 which means that the line crosses the y-axis at 2.

The y-intercept in a linear equation is represented as c:

= mx + c

As seen from the options, the only function that has a y-intercept of 2 is the last option of F(x)=[1/2x]+2.

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The depth of the ultimate moment capacity of the section is approximately 303 mm.

Ultimate moment capacity of the section is given by the formula;

\(Mu = WuL²/8 + P×a×(L-a)/2\)

Where, a = 3 m (wheelbase)The first term in the equation denotes the ultimate moment capacity due to uniformly distributed load and the second term is due to the impact of a moving wheel at distance 'a'.

Substituting the given values in the above formula we get;

Mu = 55.261 × 10² / 8 + 60 × 3 × (10 - 3) / 2

Mu = 414.46 + 855

Mu = 1269.46 kN.m

The effective depth (d) of the ultimate moment capacity of the section is given by the formula;

\(d = D - c - φ/2\)

Substituting this value in the formula for moment capacity of a rectangular section,

we have;

\(Mu = (0.138fcbd²)/1.5 + (0.87fyAs(d - a/2))/1.15\)

where, b is the breadth of the section.

As is the area of steel in the section.

As the steel is distributed uniformly over the width of the beam, the neutral axis will be at the centre of the depth of the beam.

So, the lever arm for the steel is;

d - a/2 - 12/2 - 20 = d - 32where, 20 is the distance of the centre of steel from the extreme compression fibre.

Substituting these values in the moment capacity equation and solving for d we get,

d = 303.45 mm

≈ 303 mm.

Therefore, the depth of the ultimate moment capacity of the section is approximately 303 mm.

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Answer:

The probability of rolling an odd number or a two on a six-sided die is 1/2 + 1/6 = 2/3. This means that if you roll a six-sided die 300 times, you can expect to roll an odd number or a two approximately 200 times

Step-by-step explanation:

Answer: 400 TIMES

Step-by-step explanation:

1/6 +1/2

4/6

2/3

The expected value of x is given as follows:

E(X) = 1.6.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

The distribution for this problem is given as follows:

Hence the expected value is given as follows:

E(X) = -7 x 0.2 - 3 x 0.1 + 3 x 0.4 + 7 x 0.3

E(X) = 1.6.

The table is given by the image presented at the end of the answer.

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The simplified version of (sec a - cosec a) / (sec a + cosec a)  is cosec 2a(cosec 2a - 2) / (sec²a - cosec²a).

The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Given:

(sec a - cosec a) / (sec a + cosec a)

Multiply the numerator and denominator by (sec a - cosec a)

(sec a - cosec a) / (sec a + cosec a)  × (sec a - cosec a)

(sec²a + cosec²a -2sec a cosec a) / (sec²a - cosec²a)

As we know,

\(sec^2a + cosec^2a = sec^2a \ cosec^2a\)

sec² a cosec² a - 2sec a cosec a /  (sec²a - cosec²a)

sec a cosec a (sec a cosec a - 2) / (sec²a - cosec²a)

cosec 2a(cosec 2a - 2) / (sec²a - cosec²a)

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Answer:

r = 1/2

Step-by-step explanation:

sphere volume = 4/3πr³

4/3πr³ = 1/6π

divide both sides of the equation by π:

4/3r³ = 1/6

multiply both sides by 6:

24/3r³ = 1

reduce:

8r³ = 1

divide both sides by 8:

r³ = 1/8

r = 1/2

Answer:

what ever sides are multiply the points by 2 each (x time 2, y times 2) Best I got. Hope this helps some

Step-by-step explanation:

figure out the sides then:

Ex. Perform a Dilation of 4 on point A (2, 3) which you can see in the picture below. Multiply the coordinates of the original point (2, 3), called the image, by 4. Image's coordinates = (2 * 4, 3 * 4) to get the coordinates of the image (8, 12).

Since this is the area x 2, multiply 84x2

Answer:

\( \sf \: -15c + 10 \)

Step-by-step explanation:

Now we have to,

→ Simplify the given expression.

The expression is,

→ -7c + 9 - 8c + 1

Let's simplify the expression,

→ -7c + 9 - 8c + 1

→ -7c - 8c + 9 + 1

→ (-7 - 8)c + (9 + 1)

→ (-15)c + (10)

→ -15c + 10

Hence, the answer is -15c + 10.

Step-by-step explanation:

For the equation y=8-2, complete the table and plot the ordered pairs on the graph.

Оо

Size

O

X

y

< Previous

-3

-2

-1

0

2

3

If Kala deposits $3000 into an account .The interest  she pay in the first 2 years is $240.

Using this formula to find the interest

I = P × r ×t

Where:

I = Interest = ?

P = Principal = $3,000

R = rate = 4% or 0.04

T = Time = 2 years

Let plug in the formula

I = 3,000 × 0.04 × 2

I = $240

Therefore she will pay the amount of $240 as interest.

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Answer: 24

Step-by-step explanation:

From the question, we are informed that Micah is buying items for a party and that there are 6 cups in a package and 8 plates in a package.

We are further told that he wants to have the same amount of each item. The least number of packages of cups he needs to buy would be calculated by finding the least common multiple of 6 and 8.

Multiples of 6 = 6, 12 18, 24, 30

Multiples of 8 = 8, 16, 24, 32, 40

The answer is 24 cups

A. The answer for part A is $460.

B. The answer for part B is 11,166.67 dollars

What are the Profit and Loss?

A. To find the commission earned on the first $4,000 in sales, we can multiply $4,000 by 4% which is (4,000 * 0.04) = 160 dollars

To find the commission earned on the remaining amount of sales above $4,000, we can subtract $4,000 from $9,000 to find the amount of sales above $4,000 which is (9,000 - 4,000) = 5,000

then we can multiply $5,000 by 6% which is (5,000 * 0.06) = 300 dollars

So the total commission earned is 160 + 300 = 460 dollars.

So the answer for part A is $460.

B. To find the amount of money in sales, we can use the commission formula: commission = (sales * rate)

The commission rate for sales above $4,000 is 6% and the commission earned is $670.

So, we can set up the equation as : 670 = (sales * 0.06)

We can solve this equation to find the value of sales by dividing both sides of the equation by 0.06

sales = 670 / 0.06

sales = 11,166.67

So the answer for part B is 11,166.67 dollars.

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To declare and initialize the variables in a programming language like Python, you can use the following statements:

In this example, element_number is declared and assigned an initial value of 1, which can hold any integer value from 1 through 118. atomic_weight is also declared and assigned an initial value of 3.76, which can hold atomic weight values like 3.76.

In order to store and manipulate data in a program, variables are used to represent and hold different values. In this case, we are tasked with declaring and initializing two variables: `element_number` and `atomic_weight`.

The variable `element_number` is intended to store integer values ranging from 1 through 118. To accommodate this range, we declare `element_number` and assign it an initial value of 1. This indicates that the variable can hold any integer value within the specified range.

Similarly, the variable `atomic_weight` is meant to store atomic weight values, which are typically decimal numbers. We declare `atomic_weight` and initialize it with a value of 3.76, which is an example of an atomic weight. This allows the variable to hold decimal values such as 3.76 or any other atomic weight value required.

By declaring and initializing these variables, we create placeholders in the program's memory that can be used to store and manipulate the respective values.

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The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Let's find the unit rate (r) ~

\(\qquad \tt \dashrightarrow \:r = \dfrac{y 2 - y1}{x2 - x1} \)

\(\qquad \tt \dashrightarrow \:r = \dfrac{50 - 0}{1 - 0} \)

\(\qquad \tt \dashrightarrow \:r = {50 }{} \: mph\)

Take two points

Slope:-

Answer: Your height is 42

Step-by-step explanation: 2730 divided by 65 would by 42

Answer:

area of rectangle is product of base×height.or length×breadth

area of rectangle= base ×height

2730 feet²=65×height

2730/65=height

42feet=height.

Answer:

Step-by-step explanation:

Equation -0.5x - 4 = 1.5

-0.5x = 5.5

x = -11

Equation 2: -0.5(x - 4) =1.5

-0.5x + 2 = 1.5

-0.5x = -0.5

x = 1

Thus, the following statements must be true:

Equation 1 and Equation 2 have different solutions.

The solution to Equation 1 is x = -11.

The solution to Equation 2 is x = 1.

Answer:

bottom left answer

Step-by-step explanation:

The proportional relationship among the side lengths in the similar triangles is given as follows:

25/40 = 20/32 = 17.5/28.

Similar triangles are triangles that share these two features listed as follows:

The equivalent side lengths for the similar triangles are given as follows:

Hence the proportional relationship is given as follows:

25/40 = 20/32 = 17.5/28.

The triangles are similar as all these rates are of 0.625.

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The other wall is 12 feet long can be evaluated using Pythagoras theorem.

What is Pythagoras theorem?

The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC2 = AB2 + AC2 in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.

Here given in the question that one side of the wall 5 feet

So as it is a rectangular bedroom it can be split into 2 right-angled triangles.

So the hypotenuse of the triangle is 13 feet

Now using the Pythagoras theorem we can  find out the length of the other wall

b²=h²-p²

b²=13²-5²

b²=169-25=144

b=√144

b=12 feet

Hence the other wall is 12 feet long.

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Here,

BC = 12

CD+BD=12

2x-9+x-9 =12

3x-18 12

3x =12+18

x =30/3

x =10

Now,

CD = 2x-9

= 2×10-9

= 20-9

= 11

Therefore,CD = 11

Hope this solution may help you!!☺

The value of the segment CD is 11 units for the given line segment.

A line segment is a fundamental geometric object that represents a portion of a straight line with defined endpoints. It is a finite portion of a line that connects two distinct points. The endpoints of a line segment are specific points that mark its boundaries.

From the given image the value of x will be calculated as,

CD + DE = 12

(2x - 9 ) + ( x - 9 ) = 12

3x - 18 = 12

3x = 30

x = 10

The measure of the segment CD is,

CD = 2x - 9

CD = 2(10) - 9

CD = 20 - 19

CD = 11

Therefore, the value of the segment is 11.

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Gail should pick a Beautiful bank if she plans to have her money in the account for 15 years.

To determine which bank would be better for Gail, we need to calculate the future value of her investment after 15 years for each bank and compare the results.

For Neighborhood Bank, we can use the formula:

FV = P(1 + r/n)^(n*t)

where FV is the future value,

P is the principal (the initial amount invested),

r is the annual interest rate (as a decimal),

n is the number of times the interest is compounded per year,

and t is the number of years.

Plugging in the values, we get:

FV = 5,500(1 + 0.012/1)^(1*15)

FV = 5,500(1.012)^15

FV = 7,130.34

For Beautiful Day Bank, we can use the formula:

FV = P(1 + r/n)^(n*t)

Plugging in the values, we get:

FV = 5,500(1 + 0.012/365)^(365*15)

FV = 5,500(1.000032876)^5475

FV = 7,145.25

Therefore, Beautiful Day Bank would be the better choice for Gail, as she would earn a higher amount of interest and end up with a higher future value for her investment after 15 years.

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Answer:

8√3

Step-by-step explanation:

Sin 30 =4√3/DE

DE = 4√3/Sin30 = 8√3

h and k cannot be determined without knowing a value of g(x). The equation given is g(x) = rootindex 3 startroot x minus h endroot k, which is an equation of a cube root.

The equation provided is g(x) = rootindex 3 startroot x minus h endroot k. To determine the values of h and k, we need to know the value of g(x). Since no value of g(x) is provided, we cannot determine the values of h and k.

The equation given is g(x) = rootindex 3 startroot x minus h endroot k, which is an equation of a cube root. To find the values of h and k, we need to know the value of g(x). Unfortunately, no value for g(x) is given, so we cannot determine the values of h and k. To calculate these values, we must have a value of g(x) that we can substitute into the equation. Without this value, we cannot find the values of h and k.

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Answer:

invalid conclusion

Step-by-step explanation:

The answers to the given arithmetic problems are- (a) [3] + [4] 7 ] = 7, (b) [2] . ([2] + [7]) 2 ]] = 4, and (c) ([6] + [5]). ([3] + [7]) = 110.

Here, we are given three equations as follows, let us solve them one by one-

a. [ [3] + [4] 7 ]

Here [z] = remainder when z is divided by 8

Thus, [4] = 4

⇒ [ [3] + 4*7 ]

= [ 3 + 28 ]

= [ 31 ]

= 7

b.  [ [2] . ([2] + [7]) 2 ]

=  [ 2 . (2 + 7) 2 ]

= [ 2*9*2 ]

= [ 36 ]

= 4

c. ([6] + [5]). ([3] + [7])

= (6 + 5). (3 + 7)

= 11*10

= 110

The answers to the given arithmetic problems are- (a) [3] + [4] 7 ] = 7, (b) [2] . ([2] + [7]) 2 ]] = 4, and (c) ([6] + [5]). ([3] + [7]) = 110.

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