QUESTION 5, Saturday, October 10th, 2020

I have some geometry questions today. Please include your thoughts or reasoning with your answer. Please ignore the answer I selected for it was not an purpose. Thanks!

The equivalent equation solved for h is \(\frac{P}{mg} = h\)

From the question, we are to determine the equivalent equation solved for h

From the given information,

The amount of potential energy, P, is modeled by the equation

P = mgh

To determine the equivalent equation solved for h, we will make h the subject of the equation,

From,

P = mgh

Divide both sides of the equation by mg

That is,

\(\frac{P}{mg} = \frac{mgh}{mg}\)

∴ \(\frac{P}{mg} = h\)

Hence, the equivalent equation solved for h is \(\frac{P}{mg} = h\)

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Answer

B

Step-by-step explanation:

Edge 2022

Answer:

5/6 or 0.83

Step-by-step explanation:

Reduce the fraction:

3/6 + 1/3

Transform the expression:

3+2

 6

Calculate:

5/6

Answer/Solution:

5/6 or 0.83

The length of the curve described by the vector-valued function r(t) = (-2t, 3t + 6, -31 - 7) over the interval 0 ≤ t ≤ 2 is √(298).

To compute the length of a curve, we can use the arc length formula. The arc length of a curve r(t) = (x(t), y(t), z(t)) over the interval [a, b] is given by the integral of the magnitude of its derivative with respect to t. In this case, the derivative of r(t) is r'(t) = (-2, 3, 0), as each component of r(t) is a linear function of t with constant coefficients.

The magnitude of the derivative is ∥r'(t)∥ = √((-2)^2 + 3^2 + 0^2) = √(4 + 9) = √13. Integrating ∥r'(t)∥ over the interval [0, 2], we get the length of the curve:

Length = ∫[0,2] ∥r'(t)∥ dt = ∫[0,2] √13 dt = √13 * [t] evaluated from 0 to 2 = √13 * (2 - 0) = √13 * 2 = √(13 * 4) = √(52) = √(4 * 13) = 2√13.

Therefore, the length of the curve r(t) = (-2t, 3t + 6, -31 - 7) over the interval 0 ≤ t ≤ 2 is 2√13 or approximately 7.211.

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A regular hexagon ABCDEF is inscribed in circle O with a radius of 12 cm. The hexagon is circumscribed about another circle also having O as its center. We are supposed to find the main answer for the problem.

Let's get into the solution.Problem Analysis:We have to find out the radius of the circle circumscribed around the hexagon ABCDEF.Step-by-Step explanation:Here,The radius of the circle inscribed in a regular hexagon ABCDEF is given by r = a /2 × √3r = 12 / 2 × √3 = 6√3 cm.  ...[Equation 1]

The radius of the circle circumscribed around a regular hexagon ABCDEF is given by R = aR = 2 × r = 2 × 6√3 = 12√3 cm. ...[Equation 2]Hence, the radius of the circle circumscribed around the regular hexagon ABCDEF is 12√3 cm. Therefore, the main answer is 12√3 cm.

Therefore, we can conclude that the radius of the circle circumscribed around the regular hexagon ABCDEF is 12√3 cm and the long answer with explanation is as follows:r = a /2 × √3R = 2 × r = 2 × 6√3 = 12√3 cm.

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Answer:

5x feet or x times 5.

Step-by-step explanation:

The critical value of the given expression is  -1.22.

The given expression is,

\(Z_{0.11}\)

To find the indicated critical value,

Since we know that,

A z-score, also known as a standard score, is a statistical measure that quantifies how many standard deviations a particular data point or observation is from the mean of a distribution.

It represents the position of a value relative to the mean in terms of standard deviations.

We need to determine the z-score associated with an area of 0.11 in the standard normal distribution.

Using a standard normal distribution table,

We can find that the z-score corresponding to an area of 0.11 is approximately -1.22.

Therefore,

The indicated critical value,\(Z_{0.11}\), is -1.22.

The table is attached below:

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Answer:

105

Step-by-step explanation:

2x17=34

17x2.5=42.5

1.5x17=25.5

1/2x2x2x1.5=3

34+42.5+25.5+3=105

Answer Po Ba Ay 11.33?

Step-by-step explanation:

Calc

Most likely I have scored 375 3-point darts.

The expected (mean) value of the total points is as follows, with a 50% chance of scoring 1-point darts and the same for 3-point darts:50 percent of the 500-point darts score and 50 percent of the 500-point darts score. The anticipated number of points is 1 point multiplied by 1/2 (500) times 3 points yielding 1000 points.

The equality of distribution between the 1-point and 3-point scoring indicates that you scored 1500/1000, or 1.5 times the means, assuming that you actually scored 1500 points in total. That indicates that 1500 points are equal to 1.5 (.5) 500 (1 point) plus 1.5 (.5) 500 (3 points). Therefore, you scored 1.5 (.5) 375 3-point dart hits.

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Answer: $2,466.45

Step-by-step explanation:

Hi, to answer this question we have to apply the compounded interest formula:

A = P (1 + r/n) nt

Where:  

A = Future value of investment (principal + interest)  

P = Principal Amount  

r =  Nominal Interest Rate (decimal form, 3.5/100= 0.035)

n=   number of compounding periods in each year (365)

Replacing with the values given

3,500= P (1+ 0.035/365)^365(10)

Solving for P

3,500= P (1.00009589)^3650

3,500/  (1.00009589)^3650 =P

P = $2,466.45

Answer:

His commission is 104$.

Step-by-step explanation:

1. Find 20% of 520$, which is 104$.

That's the answer! Please mark me as the brainliest!

To find the side lengths of a triangle using angles, you can employ trigonometric ratios like sine, cosine, and tangent

To find the side lengths of a triangle using angles, you can follow these steps:

Identify the given information: Determine which angles are known and which angles are unknown. Let's assume you have the measures of angles A, B, and C.

Apply the angle sum property: In a triangle, the sum of the interior angles is always 180 degrees. So, if you have the measures of two angles, you can find the measure of the third angle by subtracting the sum of the known angles from 180 degrees.

Determine the relationship between angles and side lengths: In a triangle, the lengths of the sides are related to the angles through the trigonometric ratios. The most common ratios are sine (sin), cosine (cos), and tangent (tan).

Use the trigonometric ratios: Depending on the given information, you can use the appropriate trigonometric ratio to find the side lengths. For example:

If you know an angle and the length of the side opposite to that angle, you can use the sine ratio: sin(A) = opposite/hypotenuse.

If you know an angle and the length of the adjacent side, you can use the cosine ratio: cos(A) = adjacent/hypotenuse.

If you know an angle and the lengths of the two sides that form that angle, you can use the tangent ratio: tan(A) = opposite/adjacent.

Solve for the unknown side lengths: Once you have the trigonometric equation involving an angle and side lengths, you can solve for the unknown side length using algebraic manipulations or a calculator.

Repeat these steps for the other angles to find the lengths of the remaining sides. Remember to consider the units of measurement (degrees or radians) and apply the appropriate trigonometric functions based on the given information.

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Each person gets 1/4 or one-fourth of a pizza when three whole pizzas are divided among 12 people.

We can represent the answer as a fraction.

To find the fraction of a pizza that each person gets, we can use the following formula:

Fraction of a pizza per person = Total number of pizzas ÷ Total number of people.

To find the total number of pizzas, we simply count the number of whole pizzas, which is three.

To find the total number of people, we count the number of individuals, which is 12.

So, Total number of pizzas = 3

Total number of people = 12

Now, we can substitute these values into the formula:

Fraction of a pizza per person = 3 ÷ 12.

We can simplify this fraction by dividing both the numerator and the denominator by 3:

Fraction of a pizza per person = 1/4

Therefore, each person gets 1/4 or one-fourth of a pizza when three whole pizzas are shared among 12 people.

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Answer:

8

Step-by-step explanation:

The common factors for 32,56,72 32 , 56 , 72 are 1,2,4,8 1 , 2 , 4 , 8 . The GCF (HCF) of the numerical factors 1,2,4,8 1 , 2 , 4 , 8 is 8 .

Answer:

8

Step-by-step explanation:

because eight is the greatest common number that can be divided into each of those numbers

Let's use a diagram to represent the question below

using Pythagoras theorem we can find how high up the ladder reaches the wall.

The ladder reaches 24 ft up the wall.

You are c) a structure. A structure is a collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.

A structure is a user-defined data type that allows you to group together related data. For example, you could create a structure to store the name, age, and address of a person. The structure would have three variables, each of a different type: a string variable for the name, an integer variable for the age, and a string variable for the address.

The advantage of using a structure is that it allows you to treat the related data as a single unit. This makes it easier to manipulate the data and to pass the data to functions.

The other answer choices are incorrect. A template is a blueprint for creating a generic class or function. An array is a collection of elements of the same type. Local variables are variables that are declared within a function and that are only accessible within the function.

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Answer:

option A

Step-by-step explanation:

let the hypotenuse be x

take 45 degree as reference angle and use cos rule

cos 45 = adjacent/hypotenuse

1/\(\sqrt{2\) = 6/x

do cross multiplication

6*\(\sqrt{2\) = x *1

6\(\sqrt{2}\) = x

Answer:

Answer is a

Step-by-step explanation:

Thats what i got

Answer:

perfect square therefore rational

non perfect square therefore irrational

cuberoot

5

Step-by-step explanation:

the topic is about perfect squares and rationality of numbers

The solution of the given system of equations is x = -4, y = 5 and z = 2 is the answer.

The system of equations given below:x + 2y + 3z = 11;2x + 4y + 5z = 21;3x + 5y + 6z = 27.

Here, we will solve this system of equations using inverse of the matrix method as follows:

We can write the given system of equations in matrix form as AX = B where, A = [1 2 3; 2 4 5; 3 5 6], X = [x; y; z] and B = [11; 21; 27].

The inverse of matrix A is given by the formula: A-1 = (1/ det(A)) [d11 d12 d13; d21 d22 d23; d31 d32 d33]  where,

d11 = A22A33 – A23A32 = (4 × 6) – (5 × 5) = -1,

d12 = -(A21A33 – A23A31) = -[ (2 × 6) – (5 × 3)] = 3,

d13 = A21A32 – A22A31 = (2 × 5) – (4 × 3) = -2,

d21 = -(A12A33 – A13A32) = -[(2 × 6) – (5 × 3)] = 3,

d22 = A11A33 – A13A31 = (1 × 6) – (3 × 3) = 0,

d23 = -(A11A32 – A12A31) = -[(1 × 5) – (2 × 3)] = 1,

d31 = A12A23 – A13A22 = (2 × 5) – (3 × 4) = -2,

d32 = -(A11A23 – A13A21) = -[(1 × 5) – (3 × 3)] = 4,

d33 = A11A22 – A12A21 = (1 × 4) – (2 × 2) = 0.

We have A-1 = (-1/1) [0 3 -2; 3 0 1; -2 1 0] = [0 -3 2; -3 0 -1; 2 -1 0]

Now, X = A-1 B = [0 -3 2; -3 0 -1; 2 -1 0] [11; 21; 27] = [-4; 5; 2]

Therefore, the solution of the given system of equations is x = -4, y = 5 and z = 2.

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The order in which the edges are added by Prim's algorithm for the given graph, with the initial vertex as 'a', is as follows: ab, ac, cd, ce, de, ef, fg, and gh.

Prim's algorithm is a greedy algorithm used to find a minimum spanning tree for a connected weighted graph. The algorithm starts by selecting an initial vertex and gradually adds edges to connect the vertices, expanding the tree.

In this case, the algorithm begins with vertex 'a'. It then selects the edge with the smallest weight connected to 'a', which is 'ab'. The next step is to consider the vertices connected to the current tree. From 'ab', the algorithm examines the edges 'ac', 'ad', and 'ae'. Among these edges, 'ac' has the smallest weight, so it is added to the tree.

Now the algorithm considers the vertices 'a', 'b', and 'c'. The next edge added is 'cd' since it has the smallest weight among the edges connecting these vertices. The process continues by examining the edges 'ce', 'de', 'ef', 'fg', and 'gh' in order and adding the edge with the smallest weight each time.

In summary, the edges added by Prim's algorithm in the given order are: ab, ac, cd, ce, de, ef, fg, and gh.

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However, without the specific information about the graph's edges and weights, it is not possible to provide the exact order in this particular case.

Prim's algorithm is a greedy algorithm used to find the minimum spanning tree of a weighted graph. The algorithm starts with an initial vertex and iteratively adds the minimum weight edges that connect the current tree to a new vertex until all vertices are included in the tree.

The order in which the edges are added depends on the specific graph and its weights. Without the information about the edges and their weights in the given graph, it is not possible to determine the exact order in which the edges would be added by Prim's algorithm starting from vertex 'a'.

To determine the order, you would need the adjacency matrix or adjacency list representation of the graph, as well as the weights assigned to each edge. With this information, you can apply Prim's algorithm step-by-step to find the order in which the edges are added.

Therefore, without additional details about the graph's edges and weights, it is not possible to provide the exact order of edge additions by Prim's algorithm for the given graph starting from vertex 'a'.

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w is a place holder for the cat's weight. It's some positive real number.

To describe all weights less than 8, we simply write w < 8.

For example, let's say the cat weighs 5 pounds. This would mean w = 5. In other words, 5 replaces w and we go from w < 8 to 5 < 8. This is a true inequality because 5 is smaller than 8.

Something like 10 < 8 is false because 10 is not less than 8. So w = 10 is not a solution to w < 8.

The eigenvector corresponding to the eigenvalue 4.

To find the eigenvectors of matrix A, we need to solve the equation Ax = λx, where λ is the eigenvalue and x is the eigenvector.

For λ = -5:

We need to solve the equation (A + 5I)x = 0, where I is the identity matrix.

(A + 5I) = ⎡⎣⎢21−15−12−11727−27−23⎤⎦⎥

Reducing this matrix to row echelon form, we get:

⎡⎣⎢100−12−37350−27−23⎤⎦⎥

The solution to this system is x1 = 2, x2 = 1, and x3 = 3. Therefore, the eigenvector corresponding to the eigenvalue -5 is:

x = ⎡⎣⎢2 1 3⎤⎦⎥

For λ = 1:

We need to solve the equation (A - I)x = 0.

(A - I) = ⎡⎣⎢51−15−12−67627−27−23⎤⎦⎥

Reducing this matrix to row echelon form, we get:

⎡⎣⎢100−12−37300−3−13⎤⎦⎥

The solution to this system is x1 = 1, x2 = 1, and x3 = 0. Therefore, the eigenvector corresponding to the eigenvalue 1 is:

x = ⎡⎣⎢1 1 0⎤⎦⎥

For λ = 4:

We need to solve the equation (A - 4I)x = 0.

(A - 4I) = ⎡⎣⎢1215−12−67627−27−63⎤⎦⎥

Reducing this matrix to row echelon form, we get:

⎡⎣⎢100−16−15−3830−27−63⎤⎦⎥

The solution to this system is x1 = 3, x2 = 1, and x3 = 1. Therefore, the eigenvector corresponding to the eigenvalue 4 is:

x = ⎡⎣⎢3 1 1⎤⎦⎥

Therefore, the eigenvectors of the matrix A are:

x1 = ⎡⎣⎢2 1 3⎤⎦⎥, x2 = ⎡⎣⎢1 1 0⎤⎦⎥, and x3 = ⎡⎣⎢3 1 1⎤⎦⎥

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Answer:

reflexive property

Step-by-step explanation:

Answer:

d= 66

Step-by-step explanation:

1- Calculate diameter of the circle

Internal validity explains the association between binge-watching tv and irritability.

In the context of a specific study, internal validity refers to how strongly a piece of evidence supports a claim regarding cause and effect. It is one of the most crucial characteristics of scientific research and a crucial idea when considering evidence more generally.

The extent to which alternative explanations for a study's findings (often, sources of systematic error or "bias") can be ruled out is a measure of its internal validity. In contrast, external validity measures how well data support judgments made regarding other situations (that is, the extent to which results can be generalized).

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Answer:

= 48 + 8

= 56

Step-by-step explanation:

hope its helps

good luck

Answer:

vzosbakabaoabka a

Step-by-step explanation:

ukiukiukiyji

0.1717 is Probability that none has ever been married from selected 5 young women in age category at random.

In the question we have,

the number of females age 20 to 24 has never been married = 70.3%

the number of young women in this age category (20 to 24) at random = 5

We shall find out the probability that none has been maaried from selected group of 5 females.

Probability of female age 20 to 24 has never been married = 0.703

So, the probability that none has been married from selected group of 5 females ( p)= 0.703×0.703×0.703×0.73×0.73

= 0.1717

Therefore, The probability that none has ever been married is 0.1717.

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The probability of selecting all three purple balls is 0.1429 or approximately 14.29%.

To find the probability that all three balls are purple, we need to use the formula for the probability of the intersection of three events:

P(A and B and C) = P(A) x P(B|A) x P(C|A and B)

where A, B, and C are the events of drawing a purple ball from the bag on the first, second, and third draws, respectively.

The probability of drawing a purple ball on the first draw is:

P(A) = number of purple balls / total number of balls = 9 / 15

After drawing a purple ball on the first draw, there are now 8 purple balls left in the bag out of a total of 14 balls, so the probability of drawing a purple ball on the second draw, given that a purple ball was drawn on the first draw, is:

P(B|A) = number of purple balls left / total number of balls left = 8 / 14

After drawing two purple balls, there are now 7 purple balls left in the bag out of a total of 13 balls, so the probability of drawing a purple ball on the third draw, given that two purple balls were drawn on the first two draws, is:

P(C|A and B) = number of purple balls left / total number of balls left = 7 / 13

Therefore, the probability of drawing three purple balls in a row is:

P(A and B and C) = P(A) x P(B|A) x P(C|A and B) = (9 / 15) x (8 / 14) x (7 / 13) = 0.1429 or approximately 14.29%

So, the probability of selecting all three purple balls is 0.1429 or approximately 14.29%.

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