The sum of the reciprocal of two consecutive even integers is 5/12. Find the integers.smaller integer:larger integer:

Answer:

Option (A)

Step-by-step explanation:

Volume of a cylinder is given by the formula,

V = πr²h

Here r = radius of the cylinder

h = height of the cylinder

Therefore, volume of a cylinder given in the question,

V = π(\(\frac{18}{2}\))²(8)

  = 648π

  = 2035.8 km²

Volume of the given cylinder is 2035.8 km².

Option (A) will be the answer.

Answer:

x = 3√3;

y = 3

Step-by-step explanation:

Use trigonometry:

\( \sin(30°) = \frac{y}{6} \)

Cross-multiply to find y:

\(y = 6 \times \sin(30°) = 6 \times 0.5 = 3\)

Use the Pythagorean theorem to find x:

\( {x}^{2} = {6}^{2} - {y}^{2} \)

\( {x}^{2} = {6}^{2} - {3}^{2} = 36 - 9 = 27\)

\(x > 0\)

\(x = \sqrt{27} = \sqrt{9 \times 3} = 3 \sqrt{3} \)

1/5 2/10 3/15 4/20 5/25 6/30

Answer:

(4,5)

Step-by-step explanation:

Answer: 43/75 chance

Step-by-step explanation:

total number of coins:

15 + 28 + 12 + 20 = 75

total number of coins that arent quarters or dimes:

15 + 28 = 43

so the probability would be 43/75, which is not simplifiable

Answer:

-4.4c + 1.1

Step-by-step explanation:

( [-5.8c] +1.4c) + (4.2 -3.1)

-4.4c + 1.1

Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77

Answer:

\(-12\)

Step-by-step explanation:

Let that number be \(x\). We can build an equation, and solve for \(x\).

\(4\) less than half of \(x\) is \(x/2-4\).

\(2\) more than \(x\) is \(x+2\).

We are given that the two quantities are equal, so we have that \(x/2-4=x+2\).

Adding \(4\) to both sides gives \(x/2=x+6\).

Multiplying both sides by \(2\) gives \(x=2(x+6)=2x+12\).

Subtracting \(2x\) from both sides gives \(-x=12\).

Multiplying both sides by \(-1\) gives \(x=-12\).

So, the number is \(\boxed{-12}\) and we're done!

The check is left as an exercise to the reader.

Answer:

The International System of Units, or Le Système International d'Unités (SI), was established in 1960. The SI system of units is essentially a modernized metric system. SI is the official system of units for science and has been adopted for commerce and technology in Canada and most other nations. The seven units upon which the SI system is based are listed in the table that follows.

Step-by-step explanation:

Multiply number of ants per bed by number of beds.

230 ants x 6 beds = 1,380 total ants

the answer I got was 1,380

Topic Sentence: In a business setting, concepts from this course can be applied when optimizing customer service operations and improving customer satisfaction.

Supporting Detail: One concept from the course that can be applied is the use of queuing theory to manage customer wait times and reduce service bottlenecks. By analyzing arrival rates, service rates, and queue lengths, businesses can optimize staffing levels and allocate resources efficiently.

Worked Example: One practical application of queuing theory is in call centers. With the aid of this theory, the center can analyze the number of customer service reps required in different periods of the day. The objective is to keep waiting times at their lowest and deliver timely service to customers.

Supporting Detail: Another concept that can be applied is the concept of customer lifetime value (CLV). By understanding CLV, businesses can identify their most valuable customers, prioritize their needs, and tailor personalized marketing strategies to enhance customer retention.

Worked Example: An e-commerce business may use information on customer buying patterns, typical order amounts, and the rate of customer loss to determine the overall lifetime value of a customer. By utilizing this data, the organization has the opportunity to execute tailored loyalty initiatives and customized suggestions, ultimately enhancing customer contentment and optimizing overall revenue for the long haul.

Conclusion:

The application of course concepts in a business environment can result in better customer service, shorter wait times, higher customer approval, and increased customer allegiance, thereby fueling the expansion and profitability of a business.

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The statements are always true regarding the diagram are m∠5+m∠6=180°, m∠2+m∠3=m∠6 , m∠2+m∠3+m∠5=180°

The given parameters are

m∠5+m∠3=m∠4 ---->              equation A

The m∠3+m∠4=180° -----> by supplementary angles

m∠4=180°-m∠3 ----> equation B

Substitute equation B in equation A

m∠5+m∠3=180°-m∠3

m∠5+m∠3+m∠3=180°

This equation is true when m∠2=m∠3

Therefore Is not always true case B) we have

m∠3+m∠4+m∠5=180° ----> equation A

We know that m∠3+m∠4=180° -----> by supplementary angles

m∠4=180°-m∠3 ----> equation B

Substitute equation B in equation A

m∠3+(180°-m∠3)+m∠5=180°

m∠5=0°

This option is not true case C) we have

m∠5+m∠6=180° we know that m∠5 and +m∠6 are supplementary angles so

Their sum is always 180 degrees

therefore this option is always true case D) we have

m∠2+m∠3=m∠6 -----> equation A

We know that m∠5+m∠6=180° ----> by supplementary angles

m∠6=180°-m∠5 ----> equation B substitute equation B in equation A

m∠2+m∠3=180°-m∠5

m∠2+m∠3+m∠5=180°

Remember that the sum of the interior angles of a triangle must be equal 180 degrees

Therefore this option is always true case E) we have

m∠2+m∠3+m∠5=180°

Remember that the sum of the interior angles of a triangle must be equal 180 degrees

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Answer:

(a) The function has a minimum value

(b) The minimum value is 2

Step-by-step explanation:

(a)Currently y = x^2 + 4x + 6 is in standard form, whose general equation is

y = ax^2 + bx + c.  

We know that for our function a = 1.

Thus, y = x^2 + 4x + 6 must have a minimum value.

(b) Whenever a problem asks for the minimum value, it's asking for the y-coordinate of the minimum.

Step 1:  First we can find the x-coordinate of the minimum using the equation -b/2a from the quadratic formula.  

Plugging in 4 for b and 1 for a, we get:

x-coordinate of minimum = -4 / 2(1)

x-coordinate of minimum = -4 / 2

x-coordinate of minimum = -2

Step 2:  Now we can plug in -2 for x in the quadratic function.  The result will be our minimum value:

f(-2) = (-2)^2 + 4(-2) + 6

f(-2) = 4 - 8 + 6

f(-2) = -4 + 6

f(-2) = 2

Thus, the minimum value of the quadratic function is 2.

Answer:

x^2+8x+2x+16

=x^2+10x+16

=x(x+8)+2(x+8)

=(x+8)(x+2)

=ans.(-8,-2)

Step-by-step explanation:

hope it is helpful to you

Answer:

\(\pi\)

Step-by-step explanation:

Area = \(\pi x^{2}\)  For a full circle.  This is 1/4 of a circle

A= \(\frac{\pi 2^{2} }{4}\) = \(\frac{\pi 4}{4}\) = \(\pi\)

Answer : The area of the shape is, 111.02 units 2

Answer: 12

Step-by-step explanation: 2 x 6 = 12 = the third side

The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

The total surface area of the figure will be 1968.85 square meters.

To determine  the surface area of the figure, we need to find the area of each face and then add them together.

Surface Area of the rectangular prism = 2(lb + bh + hl)

= 2(16 × 9.5) + 2(9.5 × 14) + 2(16 × 14)

= 2(152 + 133 + 224) = 2(509)

= 1018 m²

Next, we need to find the area of the triangular prism on the front with dimensions 11 m, 12.7 m, and 14 m:

Surface Area of the triangular prism;

= (11 × 14) + 2(0.5 × 11 × 12.7) + 2(0.5 × 12.7 × 14)

= (154 + 350.35 + 445.5)

= 950.85 m²

Therefore, the total surface area of the figure will be;

Total Surface Area = Surface Area of rectangular prism + Surface Area of triangular prism

= 1018 m² + 950.85 m²

= 1968.85 m²

So, the surface area of the figure is 1968.85 square meters.

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Answer:

1.5 g are in that bottle.

Step-by-step explanation:

100 soft gels × 15 mg each = 1500 mg of vit. E

1500 mg = 1.5 g

Answer:

1st Diagram = 72 square units

2nd diagram = 36 square units

heyy 3rd diagram isn't visible properly..please retake the picture.. ;)

The worst case complexity for the algorithm is O(n²)

In the worst case, every time we call the function findmin(list)

where list of length n, it will take  O(n)  operations.

For simplicity we can assume it will take n operations.

Since in each call , list decreases in one element  until it is finally empty.

the number of operations in the while loop is:

n(n-1)+(n-2)+....2+1 = n(n+1)/2= (n²+n)/2

Therefore the worst case complexity for the algorithm is O(n²).

Thus, time complexity is the number of activities a calculation performs to get done with its responsibility (taking into account that every activity requires some investment). The calculation that plays out the undertaking in the most modest number of activities is viewed as the most effective one regarding the time complexity.

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The formula for the area of a circle (A) is A =Πr2.

r = 6 ft   Π = 3.14,

A = 3.14 x 62

A = 113.04 (which is an estimated answer because Π is estimated in this case).

Therefore, the answer would be D.  If you can use a calculator, then your answer will be more exact.  Just realize that the estimate will put you close enough to your answer in a multiple choice setting if a calculator is not available.

A = 3.14 x 36

Step-by-step explanation:

Lady Gaga is expected to sing about 10 songs

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that Madonna sang a total of 11 songs for a population of 120000 people, the per capita is the ratio of the total songs sang to the total number of people.

Hence:

Madonna per capita = songs performed / population = 11 / 120000

Lady Gaga sang to a population of 109,000 people, therefore:

Lady Gaga per capita = songs performed / population

11 / 120000  = songs performed / 109,000

songs performed = 11/120000  × 109,000

= 9.91

songs performed ≈ 10 songs

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Applying the inscribed angle theorem, we have:

1. m∠ABC = 79°

2. x = 10

The inscribed angle theorem states that the measure of an inscribed angle = 1/2(measure of intercepted arc).

Thus:

1. Find m∠ABC:

m∠ABC = 1/2(measure of arc AC) [inscribed angle theorem]

Substitute

m∠ABC = 1/2(360 - 94 - 108)

m∠ABC = 79°

2. Find the value of x:

m∠DEF = 1/2(DF) [inscribed angle theorem]

Substitute

51 = 1/2(14x - 38)

2(51) = 14x - 38

102 = 14x - 38

102 + 38 = 14x

140 = 14x

10 = x

x = 10

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These are a legitimate probability distribution:

To have a legitimate probability distribution, the probabilities for all possible values of X must satisfy two conditions:

Each probability value must be between 0 and 1, inclusive.

The sum of all probability values must equal 1.

Check if the given probabilities satisfy these conditions:

P(X=-3) = 0.14 (valid)

P(X=1) = 0.1 (valid)

P(X=3) = 0.135 (valid)

P(X=5) = 0.306 (valid)

Now, calculate the remaining probability to check if it satisfies the second condition:

P(X=6) = 1 - (P(X=-3) + P(X=1) + P(X=3) + P(X=5))

P(X=6) = 1 - (0.14 + 0.1 + 0.135 + 0.306)

P(X=6) = 1 - 0.681

P(X=6) = 0.319

Since the calculated probability is valid (between 0 and 1), There is a legitimate probability distribution for the discrete random variable X:

P(X=-3) = 0.14

P(X=1) = 0.1

P(X=3) = 0.135

P(X=5) = 0.306

P(X=6) = 0.319

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a) The general solution is: I(t) = (E0/R) * (1 - exp(-Rt/L)) * u(t)

b) The general solution is: I(t) = (E0/R) * (1 - exp(-Rt/L)) * 8(t)

c) The general solution is: I(t) = (E0/sqrt(R^2 + (Lw)^2)) * (sin wt + (R/Lw) * cos wt) * exp(-Rt/L)

a) When E(t) = E0u(t) (where u(t) is the unit step function), the solution to the differential equation L *(dI/dt) +RI = E0u(t) can be found using the method of partial fraction expansion.

The general solution is:

I(t) = (E0/R) * (1 - exp(-Rt/L)) * u(t)

b) When E(t) = E0 8(t) (where 8(t) is the impulse function), the solution to the differential equation L *(dI/dt) +RI = E0 8(t) can be found using Laplace transforms.

The general solution is:

I(t) = (E0/R) * (1 - exp(-Rt/L)) * 8(t)

c) When E(t) = E0 sin wt, the solution to the differential equation L *(dI/dt) +RI = E0 sin wt can be found using Laplace transforms or by solving the characteristic equation.

The general solution is:

I(t) = (E0/sqrt(R^2 + (Lw)^2)) * (sin wt + (R/Lw) * cos wt) * exp(-Rt/L

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The value of the the integer is 1 or 5

An integer is a whole number that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, . 09, and 5,643.1

Let's represent the integer by x, therefore

six times an integer minus 5 equals the square of the integer can be put into equation as:

6x-5 = x²

x² - 6x +5 = 0

x²-5x - x + 5 = 0

(x²-5x)(-x+5) = 0

x(x-5) - 1 ( x -5) = 0

(x-1)(x-5) = 0

therefore x-1 = 0 or x-5 = 0

x = 1 or 5

therefore the value of the integer can either be 5 or 1

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Answer:

Let's denote:

- The number of orders Diane served as `D`

- The number of orders Sam served as `S`

- The number of orders Boris served as `B`

From the problem, we know:

1. `D + S + B = 54` (the total number of orders they served)

2. `D = S - 6` (Diane served 6 fewer orders than Sam)

3. `B = 2S` (Boris served 2 times as many orders as Sam)

We can substitute equations 2 and 3 into equation 1 to solve for the variables:

Substitute `D` and `B` in equation 1:

`(S - 6) + S + 2S = 54`

Combine like terms:

`4S - 6 = 54`

Add 6 to both sides:

`4S = 60`

Divide by 4:

`S = 15`

Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:

`D = S - 6 = 15 - 6 = 9`

`B = 2S = 2 * 15 = 30`

So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.

Step-by-step explanation:

50°+ 30° = 80° The value of x

Reason is The sum of interior angle is equal to the exterior one.