Consider the following cone.

A cone. The line segment connecting the center of the circular base and the apex is labeled with a measure of 9. A line segment connecting the center of the circular base with a point on the circle is labeled with a measure of 10.
What is the approximate volume of this cone?
Use 3.14
as your approximation for π.
Enter your answer as a whole number, like this: 42 I Will give 100 points and free answer for another 100 points

Answer:

Therefore, the two cities are 91.22 degrees apart in latitude and 212.05 degrees apart in longitude.

Step-by-step explanation:

The Haversine formula is:

d = 2r * arcsin(sqrt(sin^2((lat2 - lat1)/2) + cos(lat1) * cos(lat2) * sin^2((lon2 - lon1)/2)))

where:

d is the distance between the two points

r is the radius of the Earth (mean radius = 6,371km)

lat1 and lat2 are the latitude values of the two points

lon1 and lon2 are the longitude values of the two points

Using this formula, we can calculate the distance between Liverpool and Melbourne in terms of latitude and longitude:

Latitude difference = |53.41 - (-37.81)| = 91.22 degrees

Longitude difference = |(-2.99) - 144.96| = 147.95 degrees

Note that the longitude difference is greater than 180 degrees, which means that we need to account for the fact that the two cities are on opposite sides of the 180 degree meridian. To do this, we can subtract the longitude difference from 360 degrees:

Longitude difference = 360 - 147.95 = 212.05 degrees

Therefore, the two cities are 91.22 degrees apart in latitude and 212.05 degrees apart in longitude.

The p-value of the given hypothesis is; 0.9999

The formula for the z-score of proportions is;

z = (p^ - p)/√(p(1 - p)/n)

where;

p^ is sample proportion

p is population proportion

n is sample size

We are given;

p^ = 15% = 0.15

p = 20% = 0.2

n = 5000

Thus;

z = (0.15 - 0.2)/√(0.2(1 - 0.2)/5000)

z = -8.8388

From p-value from z-score calculator, we have;

P(Z < -8.8388) = 1 - 0.0001 = 0.9999

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The length of the rectangle is 7 cm and the width is 5 cm.

The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.        

The formula for the Perimeter of the rectangle is given by

Here we have

The length of a rectangle is 2cm greater than the width of the rectangle

And perimeter of the rectangle = 24 cm

Let x be the width of the rectangle

From the given data,

Length of the rectangle = (x + 2) cm  

As we know Perimeter of rectangle = 2(Length+width)

=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)

From the given data,

Perimeter of rectangle =  24cm

=> 2(2x +2) = 24 cm

=> (2x +2) = 12     [ Divided by 2 into both sides ]

=>  2x = 12 - 2

=>  2x = 10

=>   x = 5         [ divided by 2 into both sides ]  

Length of rectangle, (x+2) = 5 + 2 = 7 cm

Therefore,

The length of the rectangle is 7 cm and the width is 5 cm.

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The given series converges conditionally.

We can use the Dirichlet's test to determine the convergence of the given series.

Let aₙ = sin[(2n – 1)π/2] and bₙ = 1/n. Then, |bₙ| decreases monotonically to 0 and the partial sums of aₙ are bounded.

Now, let Sₙ = Σ aₖ. Then, we have:

S₁ = sin(π/2) = 1

S₂ = sin(3π/2) + sin(π/2) = 0

S₃ = sin(5π/2) + sin(3π/2) + sin(π/2) = -1

S₄ = sin(7π/2) + sin(5π/2) + sin(3π/2) + sin(π/2) = 0

We observe that Sₙ oscillates between 1 and -1, and does not converge. However, the series Σ |aₙ| = Σ sin[(2n – 1)π/2] is a convergent alternating series by the Alternating Series Test.

Therefore, the series converges conditionally.

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The cash balance in Mr. Steven's account five years from now will be £2,761.50.

The cash balance in Mr. Steven's account five years from now, we can use the formula for compound interest:

Future Value = Principal * (1 + Interest Rate)^Number of Periods

Principal = £2,500

Interest Rate = 2% per year

Number of Periods = 5 years

Let's substitute these values into the formula to calculate the future value:

Future Value = £2,500 * (1 + 0.02)^5

Calculating this expression will give us the cash balance in Mr. Steven's account five years from now.

To calculate the cash balance in Mr. Steven's account five years from now, we use the compound interest formula:

Future Value = Principal * (1 + Interest Rate)^Number of Periods

In this case, the principal amount is £2,500, the interest rate is 2% per year, and the number of periods is 5 years.

Substituting the values into the formula, we have:

Future Value = £2,500 * (1 + 0.02)^5

Simplifying the expression, we get:

Future Value = £2,500 * (1.02)^5

Calculating this expression gives us the cash balance in Mr. Steven's account five years from now.

Please note that the interest rate is in decimal form (0.02) and we assume annual compounding.

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Answer: 5.7 (rounded)

Step-by-step explanation: The formula to find the diagonal of a square is \(\sqrt{2\) * a, where a is a side length on the square. Since we are solving for half of a diagonal, we use this formula and divide our result by two. We start by multiplying root 2 by 8 and we get 11.31371, next we divide by two and we get 5.656855 which is 5.7 when rounded.

Answer:

a. 64

b. 24

c. 16

d. 6/16

e. 1/8

Explanation:

a. How many different codones are there?

Answer: there are 64 different codons

b. How many different codons are there in which all three bases are different?

Answer:there are 24 different codons in which all three bases are different

c. The base A and G are called purines, while C and T are called pyrimidines. How many different codons are there in which first base is purines and second base is pyrimidines

Answer: there are 16 different codons where the which first base is purines and second base is pyrimidines

d. What is the probability that all three bases are different?

Answer: probability of all three bases being different is

Number of codons with three different bases / total number of codons

= 24/64 = 6/16

e. What is the probability that first base is purines and second and third base is pyrimidines?

Answer: prob is number of codons with first base being purine and second and third base being pyrimidines / total number of codons

= 8/64 = 1/8

Answer:

Step-by-step explanation:

Yes, we need financial accounting theory even if we are only interested in 'doing'.

Financial accounting theory provides a conceptual framework for financial accounting. It is an important tool that helps to understand the concepts and principles that guide financial accounting practice.Even if a person is only interested in doing financial accounting, they still need to have an understanding of the theory underlying the practice to make informed decisions.

Financial accounting theory explains the underlying assumptions and concepts that govern the practice of financial accounting. It provides a framework for understanding the principles of financial accounting, which can then be applied to real-world situations.

For example, if an individual is only interested in doing financial accounting for a small business, they still need to have an understanding of the accounting principles and concepts that guide the practice.

This knowledge will enable them to make informed decisions when recording financial transactions and preparing financial statements. Without an understanding of financial accounting theory, the person may make errors or misinterpretations that could lead to incorrect financial statements.

Financial accounting theory is essential even if one is only interested in 'doing' financial accounting. It provides the underlying principles and concepts that guide the practice of financial accounting, enabling individuals to make informed decisions when recording financial transactions and preparing financial statements.

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Part a) The final image formed by the second lens will be located on the opposite side of the lens as the object.

To determine the image distance from the second lens, we can use the lens formula:

1/f = 1/v - 1/u,

where f is the focal length of the lens, v is the image distance, and u is the object distance. Given that the object distance is 35.0 cm and the focal length of the lens is 22.0 cm, we can substitute these values into the lens formula to solve for v. The lens formula can be rearranged to:

v = 1/(1/f + 1/u).

Substituting the values, we have:

v = 1/(1/22 + 1/35) = 1/(0.0455 + 0.0286) ≈ 1/0.0741 ≈ 13.5 cm.

Therefore, the image distance from the second lens is approximately 13.5 cm.

Part b) The total magnification of the system is given by the product of the individual magnifications of each lens. The magnification of a lens can be calculated using the formula:

magnification = -v/u,

where v is the image distance and u is the object distance. For the first lens, the object distance is 35.0 cm and the image distance is the distance between the lenses, which is 16.5 cm. Therefore, the magnification of the first lens is:

magnification_1 = -16.5/35.0.

For the second lens, the object distance is the distance between the lenses, which is 16.5 cm, and the image distance is 13.5 cm (as calculated in part a). Therefore, the magnification of the second lens is:

magnification_2 = -13.5/16.5.

The total magnification is the product of these two magnifications:

total magnification = magnification_1 * magnification_2.

Substituting the values, we have:

total magnification = (-16.5/35.0) * (-13.5/16.5) ≈ 0.706.

Therefore, the total magnification is approximately 0.706.

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Answer: No solution

Steps: 8x + 3 = 8x + 27

Subtract 8x from both sides: 8x + 3 - 8x = 8x + 27 - 8x

Simplify: 3 ≠ 27

The sides are not equal so therefore there is no solution.

Plz mark brainliest:)

Answer:

No Solutions

Step-by-step explanation:

Step 1:

8x + 3 = 8x + 27        Equation

Step 2:

3 = 27            Subtract 8x on both sides

Step 3:

3 ≠ 27          No Solutions

Answer:

No Solutions

Hope This Helps :)

Answer:

   step 3

Step-by-step explanation:

You want to know the step where the first error occurred in the long division calculation shown.

The value subtracted in step 3 should be the product of 4 and 7. That value is 28 (not 26). The error is in using -26 instead of -28 for Step 3.

<95141404393>

-14 is the value of the expression b - 3a at a =6 and b = 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression b - 3a

For this expression given,

a = 6 and b = 4

Thus the value of expression at given values

=> b - 3a

=> 4 - 3 * 6

=>4 - 18

=> -14

Therefore, the value of the expression b - 3a at a =6 and b = 4 is -14.

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As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.

Similarity theorem:

In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

Given,

Here we need to find the t value of will make the triangles similar by the similarity theorem.

For example, we are told that the 2 triangles are similar by SSS theorem.

Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem

Therefore, in the triangles ,applying the SSS postulate gives;

=> x/35 = 44/20

Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;

=> x = (44 * 35)/20

When we simplify this one then we get,

=> x = 77

Therefore, the value of x is 77.

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Answer: \(x = 34\)

Step-by-step explanation:

Let x be the original amount of Pokémon cards Tommy had, we know that he sold half of them; this can be express as:

                                                              \(\frac{x}{2}\)

After this he changed his mind and bought 17 cards, then he has:

                                                         \(\frac{x}{2} + 17\\\)

We know that he has 34, then we have the equation:

                                                       \(\frac{x}{2} + 17 = 34\)

Solving for x we have:

                                                        \(\frac{x}{2} + 17 = 34\)

                                                        \(\frac{x}{2} = 34 - 17\)

                                                            \(\frac{x}{2} = 17\)

                                                         \(x = (2)(17)\)

                                                            \(x = 34\)

Answer:

x=9

Step-by-step explanation:

The equation that can be used to solve for how many rides you can go on is 2x=23-5 where x is equal to the amount of rides you can go on.

23-5= 18 which means 2x=18

Then we devide 2 on both sides to get x by itself to get x=9

5, 10, 15, 20, 5n, 470

You just need to multiply the value by 5.

Here are the matching pairs for the given question:

1. The smallest multiple that two or more given numbers have in common multiple

2. A number resulting from multiplying a given number by an integer solution

3. The least common multiple of two or more denominators Solve

4. The value(s) of a variable that will make an algebraic sentence true Least common denominator

5. The process for finding the solution(s) to an algebraic equation Least common multiple

1. Common Multiple - The smallest multiple that two or more given numbers have in common is known as the common multiple of those numbers.

2. Multiple - A number that results from multiplying a given number by an integer solution is known as a multiple.

3. Least Common Multiple - The least common multiple of two or more denominators is the smallest number that is a multiple of each denominator.

4. Least Common Denominator - The smallest common multiple of the denominators of two or more fractions is known as the least common denominator.

5. Least Common Multiple - The process for finding the solution(s) to an algebraic equation is known as the least common multiple.

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Answer:

c

Step-by-step explanation:

because I have the same thing

The distribution does not represent a probability distribution. The correct option is b.

A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).

In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.

Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.

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Answer:

Step-by-step explanation:

The general expression is 130 x - 600 and total points scored by the player is 1220

A) Let the number of correctly answered questions be x.

∴ Number of incorrectly answered questions will be 20 - x.

+ 100 points is awarded for each question answered correctly while -30 points is awarded for each question answered incorrectly.

Thus, the general equation becomes

= 100x - (20 - x)(-30)

= 100x +30x - 600

= 130x - 600

Thus the general expression becomes 130 x - 600

B)  The player answers 14 questions correctly, thus x = 14

Substituting the value of x =14 in the general equation we get,

= 130(14) - 600

= 1820 - 600

= 1220.

Thus the total points scored by the player will be 1220

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The percentage of profit can be calculated by means of the following expression:

Where the sale is the sale price and cost is the cost at which the article was bought. In this case, the cost is $30 and the sale price is $45. By replacing 30 for cost and 45 for sale into the above expression, we get:

Then, the profit percent is 50% (0.5)

The scalar product P.Q = 33, P.S = -25, and Q.S = -2. The scalar product P-Q, P-S, and Q-S are not defined.

The scalar product, also known as the dot product, is a mathematical operation that takes two vectors and returns a scalar quantity. To compute the scalar product of two vectors, we multiply their corresponding components and sum the results.

For the given vectors, P = (11)i + (10)j + (11)k, Q = (3)i + (4)j - (5)k, and S = -4i + j - 2k.

To find P.Q, we multiply the corresponding components of P and Q and sum the results: P.Q = (11)(3) + (10)(4) + (11)(-5) = 33.

Similarly, P.S = (11)(-4) + (10)(1) + (11)(-2) = -25, and Q.S = (3)(-4) + (4)(1) + (-5)(-2) = -2.

However, the scalar product P-Q, P-S, and Q-S are not defined since these operations involve subtracting vectors, and the scalar product is not defined for vector subtraction.

Therefore, the scalar products P.Q = 33, P.S = -25, and Q.S = -2, while the scalar products P-Q, P-S, and Q-S are not defined.

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These tasks involve analyzing various aspects of cost-volume-profit relationships, sensitivity to changes, and resource constraints to gain insights into the financial performance and operational efficiency of the company.

1) To prepare a contribution margin income statement, you need to classify the costs as variable or fixed and calculate the contribution margin for each product. Subtracting the total variable costs from the total sales revenue will yield the contribution margin, which can be used to determine the operating profit.

2) The weighted average contribution margin ratio can be calculated by dividing the total contribution margin by the total sales revenue. This ratio indicates the average contribution margin earned per dollar of sales.

3) The break-even point in sales dollars can be determined by dividing the total fixed costs by the contribution margin ratio. It represents the level of sales required to cover all costs and achieve a zero-profit position.

4) To earn an annual profit of $400,000, you would need to add this profit amount to the total fixed costs and divide the sum by the contribution margin ratio to find the required sales dollars.

5) By increasing or decreasing the plane sales price by 10 percent while keeping the total sales units constant, you can calculate the impact on the operating profit by multiplying the change in sales price by the total sales units and the contribution margin ratio.

6) If the sales mix shifts more towards the car product, the break-even point in units may decrease. This is because the car product has a lower labor hour requirement per unit compared to the other two products, potentially reducing the total fixed costs and contributing to a lower break-even point.

7) To optimize the use of limited labor hours, you would calculate the contribution margin per labor hour for each product by dividing the contribution margin by the labor hours required per unit. This information can guide decision-making on the allocation of labor hours to maximize profitability.

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Answer: See below.

Step-by-step explanation:

1) x=49

2) x=-16

3) x=6/11

4) x=3

Please give Brainliest if this helped you. Have a great day!

Answer:

1)  x = 49

2)  x = -16

3)  x = ⁶/₁₁

4)  x = 3

Step-by-step explanation:

72 = x - (-23)

Apply rule -(-a) = a :

⇒ 72 = x + 23

Subtract 23 from both sides:

⇒ 72 - 23 = x + 23 - 23

⇒ 49 = x

⇒ x = 49

-5x - (7 - 4x) = 9

Apply rule -(a - b) = -a + b :

⇒ -5x - 7 + 4x = 9

Collect and combine like terms:

⇒ -5x + 4x - 7 = 9

⇒ -x - 7 = 9

Add 7 to both sides:

⇒ -x - 7 + 7 = 9 + 7

⇒ -x = 16

Divide both sides by -1:

⇒ -x ÷ -1 = 16 ÷ -1

⇒ x = -16

8x + 6 = 3(4 - x)

Distribute:

⇒ 8x + 6 = 12 - 3x

Add 3x to both sides:

⇒ 8x + 6 + 3x = 12 - 3x + 3x

⇒ 11x + 6 = 12

Subtract 6 from both sides:

⇒ 11x + 6 - 6 = 12 - 6

⇒ 11x = 6

Divide both sides by 11:

⇒ 11x ÷ 11 = 6 ÷ 11

⇒ x = ⁶/₁₁

¹/₂(4x - 16) = -2

Distribute:

⇒ 2x - 8 = -2

Add 8 to both sides:

⇒ 2x - 8 + 8 = -2 + 8

⇒ 2x = 6

Divide both sides by 2:

⇒ 2x ÷ 2 = 6 ÷ 2

⇒ x = 3

8x^5\left(32\sqrt{2}x^2-\sqrt{2}x^4\right)

Answer:

< x = 120°

Step-by-step explanation:

Step 1:

According to angle sum property,

y + 50 + 70 = 180

Step 2:

x and y are linear pairs, forming a supplementary angle.

Therefore,

x + y = 180

Step 3:

Since they are both equal to 180, equate the values

y + 50 + 70 = x + y

x = 70 + 50

x = 120