A golfer at G wishes to hit a shot between two trees P and Q, as shown in the
diagram to the right. The trees are 31 metres apart, and the golfer is 74 metres
from P and 88 metres from P. Find the angle within which the golfer must play
the shot, correct to the nearest degree.

Answer:

h = 6.05 cm

Step-by-step explanation:

Volume of a cylinder = πr²h

Where,

Pi, π = 3.14

Radius, r = diameter/2 = 6 cm/2

= 3 cm

Height, h = ?

Volume if the cylinder = 171 c ³

Volume of a cylinder = πr²h

171 = 3.14 * 3² * h

171 = 3.14 * 9 * h

171 = 28.26 * h

171 = 28.26h

h = 171/28.26

h = 6.0509554140127

Approximately,

h = 6.05 cm

Answer:

C , D.

Step-by-step explanation:

Answer:

I believe it is D (as well as C)

Step-by-step explanation:

The equation being showed is K being divided by 2, there in other words you can simply re-write it as K÷2

Answer:

hi i think the answer shouldbe 34/43 as its out of 43 and there is 34 people on the internet. I think this should be write but it may  be wrong. if this is right please vote for brainliest. i hope my answer is right and this helps bye.

Answer: Figure D

Figure D is a 180 degree rotation of figure A.

At least 5 expected observations in each cell in order to apply the chi-square test of independence, we prefer to have at least 5 expected observations in each cell. The correct answer is c.

The chi-square test of independence is a statistical method used to determine whether two categorical variables are independent or associated with each other.

To apply this test, it is preferred to have at least 5 expected observations in each cell of the contingency table. The expected frequency is calculated based on the assumption of independence between the two variables.

If the expected frequency is less than 5 in any cell, the chi-square test may not be valid and alternative methods, such as Fisher's exact test, should be considered. Having a sufficient sample size can also improve the accuracy and reliability of the test results.

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Answer:

no

Step-by-step explanation:

no two different lines

the area of a regular polygon is

A = p x a/2

where p is the perimeter of the polygon,

a is the apothem.

p = sn

n is the number of sides

s is the sides length

p = 6.7 x 7

p = 46.9

therefore,

A = 46.9 x 7/2

A = 328.3/2

A = 164sq.u

The a = 0.Substituting the values of a, b, and c in the general equation, we get:y = 0x² + 2x + 3The quadratic function is:y = 2x + 3Answer: The quadratic function is y = 2x + 3.

The given table illustrates the values of a quadratic function. Here is how you can find the quadratic function:Step 1: Write the general form of a quadratic function y = ax² + bx + c, where y is the dependent variable and x is the independent variable. a, b, and c are constants that affect the shape and position of the parabola.Step 2: Substitute the values from the table for x and y to form a system of equations.Step 3: Solve the system of equations to find the values of a, b, and c. Once you have found these values, substitute them into the quadratic equation to get the quadratic function.

The given table is as follows:x   |  0   |  2   |  4  |   6y   |  3   |  1   |  -1  |   -3Step 2:Form a system of equations using the values in the table. Here are the equations:y = a(0)² + b(0) + cy = a(2)² + b(2) + cy = a(4)² + b(4) + cy = a(6)² + b(6) + cStep 3:Solve the system of equations.Using the first equation, y = c. Hence, we have:y = 0²a + 0b + c3 = cThe value of c is 3.Using the second equation, we have:y = 2²a + 2b + 3y = 4a + 2b + 3Subtracting the two equations, we get:- 2a - b = - 2a + b = 2b = 4Therefore, b = 2.Substituting the values of b and c into the first equation, we get:3 = a(0)² + 2(0) + 3

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Answer:

Answer: z * 1 =

Step-by-step explanation:

So, add da numbers to get dat

Answer:

2z + 3 = 5

Step-by-step explanation:

2z + 3 = 5 Subtract 3 from both sides

2z = 2 Divide both sides by 2

z = 1

Given w = F(x, z) dy + G(x, y) dz is a (differentiable) 1-form on ℝ³. We are to determine the possible values of F and G such that d = zdx ∧ dy + ydx ∧ dz.

Since w is a 1-form,

we have ,

d = dw

= d(F(x, z) dy + G(x, y) dz)d

= d(F(x, z) dy) + d(G(x, y) dz)

As we know that  d(d) = 0 and d(d) = d².

Therefore, we have d² = 0

We have to find  d² = d(d)

= d(d(F(x, z) dy)) + d(d(G(x, y) dz))

Now, let's find d²(F(x, z) dy).

Here we use the fact that  d²(dx) = 0,

d²(dy) = 0,

d²(dz) = 0.d²(F(x, z) dy)

= d(d(F(x, z) dy))

= d(F(x, z)) ∧ dyd²(F(x, z) dy)

= (∂F/∂x dx + ∂F/∂z dz) ∧ dy

= ∂F/∂z dx ∧ dy + ∂F/∂x dy ∧ dy

= ∂F/∂z dx ∧ dy

Similarly, we have to find d²(G(x, y) dz).d²(G(x, y) dz)

= d(d(G(x, y) dz))

= d(G(x, y)) ∧ dzd²(G(x, y) dz)

= (∂G/∂x dx + ∂G/∂y dy) ∧ dz

= ∂G/∂x dx ∧ dz + ∂G/∂y dy ∧ dz

= ∂G/∂y dy ∧ dz

Therefore, we get

d² = d²(F(x, z) dy) + d²(G(x, y) dz)

= ∂F/∂z dx ∧ dy + ∂G/∂y dy ∧ dz

We are given d = zdx ∧ dy + ydx ∧ dz

Comparing this with d² = ∂F/∂z dx ∧ dy + ∂G/∂y dy ∧ dz,

we get∂F/∂z = z and ∂G/∂y = y

Integrating ∂F/∂z = z with respect to z gives F(x, z) = (z²/2) + C(x)

Integrating ∂G/∂y = y with respect to y gives G(x, y) = (y²/2) + D(x)

Therefore, the required function F and G are F(x, z) = (z²/2) + C(x) and G(x, y) = (y²/2) + D(x), respectively.

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Answer:

Step-by-step explanation:

\( {a}^{0} = 1 \\ \frac{ {a}^{n} }{ {a}^{m} } = {a}^{n - m} \\ {a}^{n} \times {a}^{m} = {a}^{n + m} \)

Answer:

\(1. \: b. \\ 2. \: a. \\ 3. \: a. \\ 4. \: c. \\ 5. \: a. \\ 6. \: b. \\ 7. \: a. \\ 8. \: b. \\ 9. \:c. \\ 10. \: a. \)

Step-by-step explanation:

\(1. \: {9}^{0} = 1 \\ \\ 2. \: \frac{ {x}^{5} }{ {x}^{3} } = {x}^{5 - 3} = {x}^{2} \\ \\ 3. \: {a}^{4} \times {a}^{2} = {a}^{4 + 2} = {a}^{6} \\ \\ 4. \: \frac{ {x}^{5} }{ {x}^{5} } = 1 \\ \\ 5. \: {( {x}^{2} })^{3} = {x}^{2 \times 3} = {x}^{6} \\ \\ 6. \: \frac{ {6}^{5} }{ {6}^{4} } = {6}^{5 - 4} = {6}^{1} = 6 \\ \\ 7. \: {( {a}^{2} {b}^{3} )}^{0} = 1 \\ \\ 8. \: ( {2}^{2} ) ({3}^{2} ) = (4)(9) = 36 \\ \\ 9. \: ( {m}^{2} )( {m}^{5} ) = {m}^{5 + 2} = {m}^{7} \\ \\ 10. \: \frac{ {x}^{10} }{ {x}^{2} } = {x}^{10 - 2} = {x}^{8} \)

The solution to the graph of the linear inequality is the point of intersection which is (-5, 3)

A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system

In this problem, to find the solution to the system of linear inequality, we have to find the point of intersection. This gives the exact solution to the graph.

Looking at this graph, the point of intersection is (-5, 3)

The solution to the graph is (-5, 3)

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Solution

We need to find the mean, median and mode.

Since mean > median

The graph is right-skewed.

If f: rn → rm is a linear map, then its derivative is simply the map itself. This is because a linear map is a function that preserves vector addition and scalar multiplication.

In other words, if we take two vectors in the domain and add them together, and then apply the linear map, it is the same as applying the linear map to each vector separately and then adding the results. Similarly, if we multiply a vector in the domain by a scalar and then apply the linear map, it is the same as multiplying the result of applying the linear map to the original vector by the same scalar.
Formally, we can express this idea using the concept of a Jacobian matrix. The Jacobian matrix of a function describes the rate at which the function changes near a particular point. For a linear map, the Jacobian matrix is simply the matrix that represents the map. This means that the derivative of f is the matrix A such that f(x) = Ax for all x in rn.
To see why this makes sense, consider the simplest case of a linear map from R1 to R1, given by f(x) = ax, where a is a constant. The derivative of this function is f'(x) = a, which is just the constant coefficient of the linear map. More generally, the derivative of a linear map f: rn → rm is the matrix A such that f(x) = Ax for all x in rn.

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Answer:

the prime factors of 24 and 42 is 6

Step-by-step explanation:

Answer:

2,3

Step-by-step explanation:

Both 24 and 42 have two of the same prime factors which is 2 and 3. The prime factors of 24 are 2 and 3. Some of the prime factors of 42 is 2,3, and 7. 2 and 3 are prime numbers and 24 and 42 both have them as factors.

The Greatest Common Factor of 24 and 42 is 6.

Hope this helps.

um ok.........................

The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

According to the given question.

We have an equation

2x + 2/y = 4w + 2

Since, we have to find the value of x for the given equation

2x + 2/y = 4w + 2

Thereofore,

2x + 2/y = 4w + 2

⇒ 2(x + 1)/y = 2(2w + 1)    (taking 2 common from both the sides)

⇒ (x + 1)/y = 2w + 1

⇒ (x + 1) = y(2w + 1)         (multiplying both the sides by y)

⇒ x + 1 = 2yw + y

⇒ x = 2yw + y - 1         ( subtracting 1 both the sides)

Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

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Answer: 3

Step-by-step explanation:

\(\frac{1}{3}\) × 3 = 1

For a larger input size of 320,000 elements, it will take 240 ms to sort each half and 24 ms to merge the sorted halves, resulting in a total time of 264 ms.

The given information describes the time required for sorting and merging operations on two different input sizes. For 80,000 elements, it takes 18 ms to sort each half, resulting in a total of 36 ms for sorting. Merging the two sorted halves with 80,000 numbers in each takes 40 - 18 = 22 ms.

When the input size is doubled to 320,000 elements, the sorting time for each half increases to 240 ms, as it scales linearly with the input size. The merging time, however, remains constant at 4 ms since the size of the sorted halves being merged is the same.

Thus, the total time for sorting and merging 320,000 elements is the sum of the sorting time (240 ms) and the merging time (4 ms), resulting in a total of 264 ms.

Therefore, based on the given information, the total time required for sorting and merging 320,000 elements is 264 ms.

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To show that 1^3 + 2^3 + ... + n^3 = [n(n+1)/2]^2 for any positive integer n, we can use the method of mathematical induction.

Step 1: Base Case
For n = 1, the left-hand side of the equation is 1^3 = 1, and the right-hand side is [(1)(1+1)/2]^2 = (1*2/2)^2 = 1^2 = 1. So the equation is true for n = 1.

Step 2: Inductive Step
Assume that the equation is true for some positive integer k, that is, 1^3 + 2^3 + ... + k^3 = [k(k+1)/2]^2. We need to show that the equation is also true for k+1, that is, 1^3 + 2^3 + ... + k^3 + (k+1)^3 = [(k+1)(k+2)/2]^2.

Step 3: Proof
Starting from the left-hand side of the equation for k+1, we can substitute the equation for k and simplify:
1^3 + 2^3 + ... + k^3 + (k+1)^3 = [k(k+1)/2]^2 + (k+1)^3 = (k^2+k)^2/4 + (k+1)^3 = (k^4+2k^3+k^2)/4 + (k^3+3k^2+3k+1) = (k^4+4k^3+6k^2+4k+1)/4 = [(k+1)(k+2)/2]^2

Thus, the equation is true for k+1. By the principle of mathematical induction, the equation is true for any positive integer n.

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Answer:

C

Step-by-step explanation:

Answer:

answer: (C)

explination:

A warm front brings gentle rain or light snow, followed by warmer, milder weather. Stationary front Forms when warm and cold air meet and neither air mass has the force to move the other. They remain stationary, or “standing still.” Where the warm and cold air meet, clouds and fog form, and it may rain or snow.

:

The equation of a line perpendicular to line AB and passing through point (0,2) is y = -4x + 2.

The given line has a slope of 1/4, so the slope of any line perpendicular to it will be -4 (the negative reciprocal).

Using the point-slope form of a line, we can write the equation of the line passing through the point (0,2) with slope -4 as

y - 2 = -4(x - 0)

Simplifying, we get

y - 2 = -4x

Adding 2 to both sides, we get

y = -4x + 2

Therefore, the equation of the line passing through the point (0,2) which is perpendicular to the line y=1/4x+5 is y = -4x + 2.

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A.) The null hypothesis is that subject has no ESP and the proportion of correct guesses is equal to the expected proportion by chance and alternate hypothesis is that subject has ESP, and the proportion of correct guesses is different from the expected proportion by chance.

B.) There is evidence to suggest the alternate hypothesis is more likely than the null hypothesis at the 5% significance level but not significant at the more stringent 1% level.

A.) The null hypothesis and alternate hypothesis in this case are as follows:

Null hypothesis (H0): The subject has no ESP, and the proportion of correct guesses is equal to the expected proportion by chance (0.5).

Alternate hypothesis (H1): The subject has ESP, and the proportion of correct guesses is different from the expected proportion by chance (not equal to 0.5).

B.) To determine the chances of each hypothesis being correct, we'll use the Gaussian approximation to the binomial distribution.

Step 1: Calculate the expected mean (μ) and standard deviation (σ) for a binomial distribution.

μ = n * p = 50 * 0.5 = 25

σ = sqrt(n * p * (1-p)) = sqrt(50 * 0.5 * 0.5) = sqrt(12.5) ≈ 3.54

Step 2: Calculate the z-score for the observed value (32).

z = (observed value - μ) / σ = (32 - 25) / 3.54 ≈ 1.98

Step 3: Look up the corresponding p-value for the z-score.

Using a standard normal distribution table or calculator, we find that the two-tailed p-value for z = 1.98 is approximately 0.048.

Step 4: Compare the p-value to the significance levels.

The results are significant at the 5% level (0.048 < 0.05), but not at the 1% level (0.048 > 0.01).

In conclusion, based on the Gaussian approximation to the binomial distribution, there is evidence to suggest the alternate hypothesis is more likely than the null hypothesis at the 5% significance level. However, the results are not significant at the more stringent 1% level.

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Answer:

A. 1

Step-by-step explanation:

12x + 6 = 5x

12x - 5x = - 6

7x = - 6

x = - 6 / 7

Only one solution.

This means that x can be any value less than -4 or any value greater than approximately 10.666.

To solve the compound inequality 2x + 5 < -3 or 3x - 7 > 25, we will solve each inequality separately and then combine the solutions.

Starting with the first inequality:

2x + 5 < -3

Subtracting 5 from both sides:

2x < -8

Dividing both sides by 2 (since the coefficient of x is 2 and we want to isolate x):

x < -4

Moving on to the second inequality:

3x - 7 > 25

Adding 7 to both sides:

3x > 32

Dividing both sides by 3:

x > 10.666...

Now we have the solutions for each inequality. To express the combined solution, we need to find the values of x that satisfy either of the inequalities. Thus, the solution for the compound inequality is:

x < -4 or x > 10.666...

This means that x can be any value less than -4 or any value greater than approximately 10.666.

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Answer:

20

Step-by-step explanation:

Given data

Let the number of magic tricks be x

we are told that she knows 70% of card trick which is 14 card tricks

hence we have

70/100*x= 14

0.7x= 14

x= 14/0.7

x=20

Hence the number of magic tricks she knows is 20

The product of 56.2 and 9.2057 to the appropriate number of significant digits is 517.00.

The significant digits in a number are the digits that contribute to its precision. When multiplying numbers, the result should be rounded to the same number of significant digits as the factor with the least number of significant digits.

In this case, 56.2 has three significant digits, and 9.2057 has five significant digits. The factor with the least number of significant digits is 56.2. Therefore, the product should be rounded to three significant digits.

Multiplying 56.2 by 9.2057 gives 517.38134. Rounding this result to three significant digits gives us 517.00. The trailing zeros after the decimal point are significant in this case as they indicate the precision of the result. Hence, the correct answer is 517.00.

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The probability of not selecting a purple marble when choosing one marble from the bag is 60%.

To determine the probability of not selecting a purple marble when choosing one marble from the bag, we need to find the number of marbles that are not purple and divide it by the total number of marbles in the bag.

The number of marbles that are not purple is the sum of red, green, and yellow marbles. Therefore, the number of marbles that are not purple is 3 + 3 + 9 = 15.

The total number of marbles in the bag is the sum of all the marbles: 3 + 3 + 9 + 10 = 25.

So, the probability of not selecting a purple marble is 15/25 = 0.6, which is equivalent to 60%.

Therefore, the probability of not selecting a purple marble when choosing one marble from the bag is 60%.

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To bisect a segment, Jessica should place the compass on one endpoint, open it to a width larger than half of the segment, draw two intersecting arcs with the compass, and draw a straight line through the intersection points to bisect the segment.

To bisect a segment, Jessica should first place the compass on one endpoint of the segment and open it to a width larger than half of the segment. She should then draw an arc that intersects the segment at two points. Next, she should place the compass on the other endpoint of the segment and draw a similar arc that intersects the first arc she drew.

Finally, she should draw a straight line through the two points where the arcs intersect to bisect the segment into two equal parts. This method is based on the concept of congruent triangles, as the two arcs create two congruent triangles with the segment as their base.

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