how many faces, edges and vertices does a cone have

The simplest way to perform a division is long division and synthetic division.

What is division?

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.

There are two methods to perform division:

Long division: The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions.

Synthetic division: In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.

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In the given array [10, 20, 30, 40, 50, 60, 70], the best case, average case, and worst case scenarios for both linear search and binary search can be determined based on the position of the target element being searched. The total number of key comparisons required in each case will also vary depending on the search algorithm used.

Linear Search:

Best Case: The best case scenario for linear search occurs when the target element is found at the very first position in the array. In this case, only one comparison is needed.

Average Case: In the average case, the target element is found in the middle of the array. On average, it would require (n+1)/2 comparisons, where n is the length of the array.

Worst Case: The worst case scenario for linear search occurs when the target element is either not present in the array or it is located at the last position. In this case, n comparisons are needed, where n is the length of the array.

Binary Search:

Best Case: The best case scenario for binary search occurs when the target element is found exactly in the middle of the sorted array. In this case, only one comparison is needed.

Average Case: In the average case, the target element can be located at any position in the array. On average, it would require log2(n)+1 comparisons, where n is the length of the array.

Worst Case: The worst case scenario for binary search occurs when the target element is either not present in the array or it is located at one of the ends. In this case, log2(n)+1 comparisons are needed, where n is the length of the array.

Therefore, in the given array, the best case, average case, and worst case scenarios and the total number of key comparisons required will differ for linear search and binary search based on the position of the target element.

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Answer:

(i think)

the first one is SSS

the second one isn't congruent

the fourth one is SSS

and the fifth one is SSS

Step-by-step explanation:

Answer:

-4, 3 and 6

Step-by-step explanation:

Given

See attachment for complete question

Required

The roots of the polynomial

We have:

\(y = x^3 + 72\)

\(y = 5x^2 + 18x\)

When the above functions are plotted, the x-coordinate of the point of intersection are: -4, 3 and 6

Hence, the roots are: -4, 3 and 6

Answer:

it is -4, 3, 6.

Answer: least to greatest

-13, -9, -8.1, -8, -7.9, -7, -3, 0, 3, 7, 7.9

Answer:

25

Step-by-step explanation:

(5 / 12) * (1 hour) =25 minutes

Step-by-step explanation:

i wish I could help but no idea

A sequence or series is the generalized form of the pattern thus the third term of the given sequence 20 - n² is 11.

A sequence's series is the total number of terms in the sequence.

A series follows some pattern for example if you take data set of natural numbers then there will be a sequence of that data and something will be due to that we can form that series.

As per the given sequence, 20 - n²

The 20 - n² represents the nth term of the sequence.

Thus a(n) = 20 - n²

For the third term n = 3

a(3) = 20 - (3)²

a(3) = 20 - 9 = 11

Hence "A sequence or series is the generalized form of the pattern thus the third term of the given sequence 20 - n² is 11".

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The original slope's reciprocal will be the opposite of the perpendicular slope. To determine the intercept, b, enter the supplied point and the new slope into the slope-intercept form (y = mx + b). Rewrite the following equation in standard form: ax + by = c.

The values of the slope and y-intercept provide details on the relationship between the two variables, x and y. The slope shows how quickly y changes for every unit change in x. When the x-value is 0, the y-intercept shows the y-value.

Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the slope of the line in our equation, y = 6x + 2, is 6.

The slope is m and the y-intercept is b in the equation y=mx+b in slope-intercept form. Some equations can also be rewritten so that they resemble slope-intercept form. For instance, y=x can be written as y=1x+0, resulting in a slope and y-intercept of 1 and 0, respectively.

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Answer:1/11

Step-by-step explanation:

Let the yellow cubes be x

yellow = x

blue = 2x                // Blue cubes is twice of yellow

Green = 8x              // Green is four times of blue

Ratio:

Yellow : Blue : Green

  1       :   2    :     8

P(Yellow) = 1/11

Answer:

0.0138

Step-by-step explanation:

the division gives a value which is almost recurring hence we round off to get 0.0138

Answer:

72.5 (I did the math)

=======================================================

Work Shown:

A = old value = 360

B = new value = 270

C = percent change

C = (B-A)/A

C = (270-360)/360

C = -90/360

C = -0.25

C = -25%

The negative C value indicates we have a percent decrease.

Note how 25% of 360 = 0.25*360 = 90, meaning that the price has dropped by 90 galleons. And also note that 360-270 = 90 is that same figure of 90. This helps confirm the answer.

Answer:

For the tickets sold collum, your going to do 1,2,3,4,5,6,7 and for the total revenue, your going to do 34.00 68.00 102.00 136.00 170.00 204.00 238.00

Step-by-step explanation:

Then for ordered pairs, you´re going to do 1, 34.00 2, 68.00 3, 102.00 and so on. Then you graph it, oh and K= 34.00

Carlos have to travel 105 miles to reach the destination.

The path followed by an object to travel a predetermined distance at a predetermined speed from one place to another is called the distance traveled. As was previously said, the distance formula combines distance, speed, and time.

As per the details share in the above question are as bellow,

The details provided are as follow,

Carlos is traveling by automobile for more than 240 miles.

Carlos has traveled 135 miles so far.

How far must Carlos still travel?

We have to use subtraction method to determine the distance remaining.

Now subtract the total distance by the distance traveled,

Substitute the value in above we get,

=240-135

=105 miles

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The solutions to the recurrence relation are: aₙ = 2ⁿ - 2ⁿ⁺¹ + 2ⁿ⁺² + (n⁴)/n.

The given recurrence relation is aₙ = 7aₙ₋₁ - 16aₙ₋₂ + 12aₙ₋₃ + (n⁴)/n, with initial values a₀ = -2, a₁ = 0, and a₂ = 5. To find the solutions, we can use the characteristic equation and the method of solving linear homogeneous recurrence relations. After solving the characteristic equation, we obtain the roots 2, -1, and -2.

Thus, the general solution is aₙ = C₁ * 2ⁿ + C₂ * (-1)ⁿ + C₃ * (-2)ⁿ. Using the initial values, we can determine the values of the constants C₁, C₂, and C₃. The resulting solutions are aₙ = 2ⁿ - 2ⁿ⁺¹ + 2ⁿ⁺² + (n⁴)/n. This formula provides the values of aₙ for any n.

Regarding the relations R₁, R₂, and R₃, we need to determine if they are equivalence relations on the set of all non-zero integers.

a. R₁: The relation R₁ states that (x, y) ∈ R₁ if and only if x ≥ y². To check if it is an equivalence relation, we need to verify reflexivity, symmetry, and transitivity. It is reflexive since for any integer x, x ≥ x². However, it is not symmetric or transitive since there are counterexamples where the conditions are not met for some values of x and y.

b. R₂: The relation R₂ states that (x, y) ∈ R₂ if and only if x is a multiple of y. This relation is an equivalence relation since it satisfies reflexivity, symmetry, and transitivity. Any integer x is a multiple of itself (reflexivity), if x is a multiple of y then y is a multiple of x (symmetry), and if x is a multiple of y and y is a multiple of z, then x is a multiple of z (transitivity).

c. R₃: The relation R₃ states that (x, y) ∈ R₃ if and only if xy ≥ 1. This relation is not an equivalence relation since it fails reflexivity. For example, when x = 0, xy = 0 for any y, and 0 is not greater than or equal to 1.

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Answer:

1/10, 13%, 0.15, 16/100, 1/5

Step-by-step explanation:

Given the following question:

13%, 16/100, 1/5, 0.15, and 1/10

In order to find the answer to this question we can rewrite all the following fractions/percent into decimals and then compare.

\(\frac{16}{100} =16\div100=0.16\)
\(\frac{1}{5} =1\div5=0.2\)
\(\frac{1}{10} =1\div10=0.1\)
\(13=0.13\)

0.13, 0.16, 0.15, 0.2, and 0.1
0.1, 0.13, 0.15, 0.16, 0.2

1/10, 13%, 0.15, 16/100, 1/5

Hope this helps.

\({\qquad \qquad \huge \rm \underline { \underline{ Répondre}}}\)

Standard equation of an ellipse is :

\(\qquad \rm\dashrightarrow \: \dfrac{ {(x - h)}^{2} }{ {a}^{2} } + \dfrac{ {(y - k)}^{2} }{ {b}^{2} } = 1\)

If b is smaller than a, then it will be a horizontal ellipse, and if b is greater than a, it will be a vertical ellipse. and shifting depends upon coordinates of its centre.

Now, our given equation is :

\(\qquad \rm\dashrightarrow \: \dfrac{ {x}^{2} }{ 15 } + \dfrac{ {y }^{2} }{ {10} } = 1\)

\(\qquad \rm\dashrightarrow \: \dfrac{ {x}^{2} }{ {(\sqrt{15})}^{2} } + \dfrac{ {y}^{2} }{ {(\sqrt{10}) {}^{2} } } = 1\)

[ here, b = root 10 and a = root 15, hence a is greater than b here, which means : its a horizontal ellipse.

And since it is a horizontal ellipse with center at origin, it's major axis will lie on x - axis.

Where the above conditions exist,

The random variable T = L + C represents the total time it takes Lorelei and Chance to finish a randomly selected 3-layer wedding cake. Since L and C are independent and Normally distributed, T is also Normally distributed with mean:

Mu_T = Mu_L + Mu_C = 37 + 52 = 89

and variance:

Var(T) = Var(L) + Var(C) = 12^2 + 7^2 = 193

So the standard deviation of T is:

Sigma_T = sqrt(Var(T)) = sqrt(193) = 13.89

The shape of T is also Normally distributed, since it is a sum of two independent Normally distributed variables.

To find the probability that Lorelei and Chance finish a randomly selected 3-layer wedding cake in under 90 minutes, we need to calculate the z-score for this value and then find the corresponding probability from the z-table. The z-score is:

z = (90 - 89) / 13.89

= 0.072

From the z-table, we find that the probability of a Z-score less than or equal to 0.072 is 0.5287.

Therefore, the probability that Lorelei and Chance totally finish a randomly selected 3-layer wedding cake in under 90 minutes is 0.5287 or approximately 53%.

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The angle between the vector (3 - √2)i + 3j and the positive x-axis can be determined using trigonometry.

To find the angle between the vector and the positive x-axis, we can use the arctan function. The angle can be calculated by taking the arctan of the y-component divided by the x-component of the vector.

In this case, the vector is given as (3 - √2)i + 3j. The x-component is 3 - √2, and the y-component is 3. Using the arctan function, we can calculate the angle as arctan(3 / (3 - √2)).

By substituting the values into a calculator or using trigonometric identities, we can find the angle. It is important to note that the arctan function returns an angle in radians. If we want the result in degrees, we can convert it by multiplying the result by 180/π.

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we have shown that the points 0, Z1, and Z1 + Z2 form a triangle with sides of length ∣Z1∣, ∣Z2∣, and ∣Z1 + Z2∣, thereby demonstrating the aptness of the triangle inequality for complex numbers.

To show that the points 0, Z1, and Z1 + Z2 in the complex plane form a triangle with sides of length ∣Z1∣, ∣Z2∣, and ∣Z1 + Z2∣, we need to verify that the triangle inequality holds for these sides.

First, let's consider the side connecting 0 and Z1. The length of this side is given by ∣Z1∣, which represents the magnitude or modulus of Z1. By definition, the modulus of a complex number Z is the distance from the origin (0) to the point representing Z in the complex plane. Therefore, the side connecting 0 and Z1 has a length of ∣Z1∣.

Next, let's consider the side connecting Z1 and Z1 + Z2. The length of this side can be calculated using the distance formula. The coordinates of Z1 and Z1 + Z2 in the complex plane are (Re(Z1), Im(Z1)) and (Re(Z1 + Z2), Im(Z1 + Z2)) respectively. Using these coordinates, we can calculate the length of the side connecting Z1 and Z1 + Z2 as ∣Z2∣.

Finally, let's consider the side connecting Z1 + Z2 and 0. This side corresponds to the negative of the side connecting 0 and Z1. Therefore, its length is also ∣Z1∣.

Now, applying the triangle inequality, we have:

∣Z1∣ + ∣Z2∣ ≥ ∣Z1 + Z2∣

This inequality states that the sum of the lengths of any two sides of a triangle is greater than or equal to the length of the remaining side. In the context of complex numbers, this is known as the triangle inequality.

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Answer:

(3r+8)(4+1)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

It can only be b because the graph is steadily decreasing (negative slope). if it's raining, the temperature is above freezing, and then the rain would turn to snow if the temperature dropped below freezing. So that matches the graph.

For a, total rainfall in a day, the total would keep going up, so it would have a positive slope.

For c, the speed of the car would be at 0 at the beginning when in's at the stop sign, and the graph is starting out well above 0.

For d, the graph would have to go up then down to represent the hill.

This is because it is the most suitable option than other graphs. Let's verify all options.

9514 1404 393

Answer:

  (d)  -√((2+√2)/(2-√2))

Step-by-step explanation:

5π/8 is a 2nd-quadrant angle whose reference angle is greater than π/4. This means the tangent is negative with a magnitude greater than 1. The only reasonable choice is ...

  \(\displaystyle -\sqrt{\frac{2+\sqrt{2}}{2-\sqrt{2}}}\)

_____

Additional comment

This simplifies to -(1+√2). Your calculator can verify the choice for you.

Answer:

Step-by-step explanation:

HOPE IT HELPS MUCH UNTO YOU

Answer:

Yes, he would double it

The original tool box volume is 180 in³

Doubled, it would be 360 in³

Step-by-step explanation:

Volume of box: L*W*H

10*6*3

60*3

180 in³

Based on the calculations, the value of x for this regular polygon with the given interior angle is equal to 3.

A polygon can be defined as a two-dimensional geometric shape that comprises straight line segments and a finite number of sides. Also, some examples of a polygon include the following:

Note: The number of sides (n) of a hexagon is 6.

In Geometry, the sum of the interior angles of both a regular and irregular polygon is given by this formula:

Sum of interior angles = 180 × (n - 2)

Sum of interior angles = 180 × (6 - 2)

Sum of interior angles = 180 × 4

Sum of interior angles = 720°.

Next, we would determine the value of x by using this formula:

Interior angle × Number of sides = Sum of interior angles

Substituting the parameters into the formula, we have;

(-134x + 516 + 2x) × 6  = 720

-134x + 516 + 2x = 720/6

-134x + 516 + 2x = 120

516 - 120 = 134x - 2x

396 = 132x

x = 396/132

x = 3.

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In order to simplify and verify trig identities, one needs to use the rules of trigonometry and algebra to manipulate the equation until it is in a simplified form.

The most common trig identities to remember include the Pythagorean identity, reciprocal identities, quotient identities, and sum and difference identities. When simplifying an equation, it is important to remember to include the negative sign when necessary and to factor out any common factors.

After simplifying, it is important to verify the equation. This can be done by plugging in known values for the variables and verifying that the equation is true. By utilizing the rules of trigonometry and algebra, one can simplify and verify trig identities. This process is essential for working with trigonometric functions.

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Examples of population parameter are mentioned below .

According to the question

Population parameter :

A population parameter is a numerical descriptive measure of a population or a number that describes something about an entire group or population.  

The examples of population parameter is

1. The average weight of all middle-aged female Americans. The population consists of all middle-aged female Americans, and the parameter is µ.

2. The average length of a butterfly. This is a parameter because it is states something about the entire population of butterflies.

3. The average height of a class X. This is a parameter because it is states something about the entire population of class X.  

Hence, examples of population parameter will depend on the population .

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When the second derivative of a function equals zero, it indicates a possible point of inflection or a critical point where the concavity of the function changes. It is a significant point in the analysis of the function's behavior.

The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero at a particular point, it suggests that the function's curvature may change at that point. This means that the function may transition from being concave upward to concave downward, or vice versa.

Mathematically, if the second derivative is zero at a specific point, it is an indication that the function has a possible point of inflection or a critical point. At this point, the function may exhibit a change in concavity or the slope of the tangent line.

Studying the second derivative helps in understanding the overall shape and behavior of a function. It provides insights into the concavity, inflection points, and critical points, which are crucial in calculus and optimization problems.

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When the second derivative of a function equals zero, it indicates a critical point in the function, which can be a maximum, minimum, or an inflection point.

The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero, it indicates a critical point in the function. A critical point is a point where the function may have a maximum, minimum, or an inflection point.

To determine the nature of the critical point, further analysis is required. One method is to use the first derivative test. The first derivative test involves examining the sign of the first derivative on either side of the critical point. If the first derivative changes from positive to negative, the critical point is a local maximum. If the first derivative changes from negative to positive, the critical point is a local minimum.

Another method is to use the second derivative test. The second derivative test involves evaluating the sign of the second derivative at the critical point. If the second derivative is positive, the critical point is a local minimum. If the second derivative is negative, the critical point is a local maximum. If the second derivative is zero or undefined, the test is inconclusive.

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Answer:

12

Step-by-step explanation:

Answer:

3/2

rises by 3

runs by 2

I hope this is good enough: