What is the measure of 40 angle A’B’C’?

To find the equation of the line, we will use the formula below;

x₁=-6 y₁=6 x₂=4 y₂=6

substitute the values into the formula

y - 6 = 0

y = 6

Option a, adjacency matrix. An adjacency matrix is a two-dimensional array that represents a graph's edges, where the rows and columns correspond to the vertices of the graph. If there is an edge between two vertices, the corresponding element in the matrix is set to 1, otherwise it is set to 0. This implementation is useful for dense graphs, where the number of edges is close to the maximum possible number of edges.

An adjacency matrix is a simple and efficient way to represent graphs that have a large number of vertices and edges. It allows for fast lookups of the existence of an edge and is useful for various algorithms that require graph representation. However, it is not suitable for sparse graphs, where the number of edges is much smaller than the maximum possible number of edges. In such cases, an adjacency list would be more appropriate.

The common implementation of a graph that uses a two-dimensional array to represent the graph's edges is called an adjacency matrix.

To know more about array representation,visit:

https://brainly.in/question/5489688

#SPJ11

Answer:

Since the only even prime number is 2, we can say that its reciprocal is 1 2 \dfrac{ 1 }{ 2 } 21​. By checking, we get 2 × 1 2 = 1 2 \times \dfrac{ 1 }{ 2 } = 1 2×21​=1.

Step-by-step explanation:

Answer: 20 mL of 7.5% solution and 30 mL of 20% solution

Step-by-step explanation:

Let the amount of 7.5% solution in mL be \(x\) and the amount of 20% solution in mL be \(y\).

Then, we know that \(x+y=50\) (from the total amount) and that \(0.075x+0.20y=50(0.15)\) from the concentration.

\(x+y=50 \implies y=50-x\\\\\therefore 0.075x+0.20(50-x)=50(0.15)\\\\0.075x+10-0.20x=7.5\\\\-0.125x=-2.5\\\\x=20\\\\\implies y=50-20=30\)

Answer:

Answer should be 1/20

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

i can not really tell what letters are on the picture but i think it is 9

Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

Answer:

3

Step-by-step explanation:

Step 1: Find the factors of 3 and 33.

Step 2: Find the largest common factor they share.

Therefore, the GCF of 3 and 33 is 3.

Answer:3 more than y i think srry if im wrong

Step-by-step explanation:

Answer:

x=52

Step-by-step explanation:

One of the properties of parallelograms is that angle A = Angle C

5y-54 = 3x eq1

Another property of parallelograms is that angle A + angle B = 180 degrees

5y-54+2y-60 = 180

7y = 180+114 = 294

y = 42

Putting this value in eq1

3x = 5*42-54 = 210-54 = 156

x = 52

The slope of the line is -1/2, the coordinates of midpoint is (1,3) and the equation of perpendicular bisector is y = 2x + 1

The slope of a line is a measure of its steepness.

Given that, a line segment has end points = A(-1,4) and B(3,2)

(i) Slope = (y2 - y1)/(x2 - x1) = -1/2

(ii) Coordinates of the midpoint of a line = (Xm, Ym) = (x₁ + x₂)/2, (y₁ + y₂)/2

(Xm, Ym) = (-1+3)/2, (4+2)/2 = (1,3)

(iii) The slope of the two lines perpendicular to each other are negative reciprocal of each other, so, slope of the line perpendicular to the given line is = 2

Standard equation of a line = y = mx + c

Since the line is the perpendicular bisector of AB, it will pass through (1,3)

Solving for c,

3 = 2*1 + c

c = 1

Therefore, the equation of the of line perpendicular to AB is

y = 2x + 1

Hence, the slope of the line is -1/2, the coordinates of midpoint is (1,3) and the equation of perpendicular bisector is y = 2x + 1

For more references on slope, click;

https://brainly.com/question/2491620

#SPJ1

The approximate values of the given expressions are: 22.44, 0.0527, 0.655, 2.19, and 1.53

The equivalent expressions for the given expressions are as follows:

1. \(\left(\frac{1.3^3}{1.2^4}\right)^{-6}\)

2. \(\frac{1.2^{24}}{1.3^{18}}\)

3. \(\frac{1.2^2}{1.3^3}\)

4. \(\frac{1.3^{18}}{1.2^{24}}\)

5. \(\frac{1.3^3}{1.2^2}\)

To solve these expressions, simplify them step by step.

1. Given expressions:  \(\left(\frac{1.3^3}{1.2^4}\right)^{-6}\)

To equivalent expression of given expression calculated as:

\(\left(\dfrac{1.3^3}{1.2^4}\right)^{-6} = \left(\dfrac{1.3^3}{1.2^4}\right)^{-6} \\\left(\dfrac{1.3^3}{1.2^4}\right)^{-6} \approx 22.44\)

2. Given expressions:  \(\frac{1.2^{24}}{1.3^{18}}\)

To equivalent expression of given expression calculated as:

\(\dfrac{1.2^{24}}{1.3^{18}} = \dfrac{1.2^{24}}{1.3^{18}}\\ \dfrac{1.2^{24}}{1.3^{18}} \approx 0.0527\)

3. Given expressions:  \(\frac{1.2^2}{1.3^3}\)

To equivalent expression of given expression calculated as:

\(\dfrac{1.2^2}{1.3^3} = \dfrac{1.44}{2.197} \\\dfrac{1.2^2}{1.3^3} \approx 0.655\)

4. Given expressions: \(\frac{1.3^{18}}{1.2^{24}}\)

To equivalent expression of given expression calculated as:

\(\dfrac{1.3^{18}}{1.2^{24}} = \dfrac{1.3^{18}}{1.2^{24}} \\\dfrac{1.3^{18}}{1.2^{24}} \approx 2.19\)

5. Given expressions:  \(\frac{1.3^3}{1.2^2}\)

To equivalent expression of given expression calculated as:

\(\dfrac{1.3^3}{1.2^2} = \dfrac{2.197}{1.44} \\\dfrac{1.3^3}{1.2^2} \approx 1.53\)

So, the approximate values of the given expressions are: 22.44, 0.0527, 0.655, 2.19, and 1.53 (rounded to two decimal places).

Learn more about Expressions here:

https://brainly.com/question/34132400

#SPJ4

To test the hypothesis that the mean life of light bulbs produced by the company is less than 1,150 hours, we can use a one-sample t-test. The significance level is 5%.

To find the critical value of t, we need to determine the degrees of freedom for the test. Since we have a sample size of 25, the degrees of freedom is given by n - 1 = 25 - 1 = 24. Referring to the t-distribution table with 24 degrees of freedom and a significance level of 5%, we find that the critical value of t is -1.711.

The test statistic, t, can be calculated using the formula:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Substituting the given values, we have:

t = (1,097 - 1,150) / (133 / sqrt(25))

Calculating this expression, we find:

t = -53 / (133 / 5) ≈ -2.007 (rounded to three decimal places)

Comparing the calculated test statistic with the critical value, we see that -2.007 is less than -1.711. Therefore, we reject the null hypothesis.

In conclusion, the critical value of t is approximately -1.711, the value of the test statistic is -2.007 (rounded to three decimal places), and we reject the null hypothesis. This suggests that there is evidence to support the claim that the mean life of light bulbs produced by the company is less than 1,150 hours.

To learn more about null hypothesis : brainly.com/question/30821298

#SPJ11

a. The hypothesis test is right-tailed.

b. The P-value is 0.2525.

c. Using a significance level of a = 0.01, we fail to reject the null hypothesis .

a) The hypothesis test is right-tailed because the alternative hypothesis is p > 0.4.

b) To find the P-value, we need to use a standard normal distribution table or a calculator. Since the test statistic is positive, we look for the area to the right of z = 0.67. Using a standard normal distribution table or a calculator, we find that the area to the right of z = 0.67 is 0.2525. This is the P-value.

c) Using a significance level of a = 0.01, we compare the P-value to the significance level. The P-value is greater than the significance level, so we fail to reject the null hypothesis . There is not enough evidence to support the claim that p > 0.4 at the 1% significance level.

Learn more about hypothesis test here

brainly.com/question/29343959

#SPJ4

The given question is incomplete, the complete question is :

The test statistic of z = 0.67 is obtained when testing the claim that p>0.4. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.01, should we reject null hypothesis or should we fail to reject null hypothesis?

The possible collision points of the two paths are given as follows:

Each path is modeled by the equations presented as follows:

When the two paths collide, they are at the same position, hence the points are the values of θ that respect the condition given by:

\(r_1(\theta) = r_2(\theta)\)

Hence the equation to be solved is:

\(\sqrt{3} + 2\cos{\theta} = 4\cos{\theta}\)

Isolating the cosine variable, we have that:

\(2\cos{\theta} = \sqrt{3}\)

\(\cos{\theta} = \frac{\sqrt{3}}{2}\)

Applying the inverse cosine function, the angles are obtained as follows:

\(\theta = \cos^{-1}{\left(\frac{\sqrt{3}}{2}\right)}\)

Which has two solutions:

Hence the correct options are given by the first option and the last option.

The complete problem is given by the image shown at the end of the answer.

More can be learned about trigonometric equations at https://brainly.com/question/24349828

#SPJ1

Answer:

A and E.

Step-by-step explanation:

Step-by-step explanation:

If Nicole can walk 1/2 a mile in 1/4 hours, she can walk 2 miles in 1 hour, since 1/4 hours is equivalent to 15 minutes, and there are 4 quarters in 1 hour.

Answer:

16°

Step-by-step explanation:

2x° + 6° = 38°

x° = (38°- 6°)÷2=16°

Answer:

B

Step-by-step explanation:

The probability that 36 randomly selected men have a mean height greater than 70.8 inches is 0.0062 or 0.62%.

To solve this problem, we can use the central limit theorem and the formula for the z-score.

First, we need to calculate the standard error of the mean, which is the standard deviation divided by the square root of the sample size:

standard error of the mean = 2.4 / √(36) = 0.4

Next, we can calculate the z-score for a sample mean of 70.8 inches:

z = (70.8 - 69.8) / 0.4 = 2.5

We can use a standard normal distribution table or calculator to find the probability that the z-score is greater than 2.5. This probability is approximately 0.0062 or 0.62%.

Therefore, the probability that 36 randomly selected men have a mean height greater than 70.8 inches is 0.0062 or 0.62%.

To learn more about probability here:

brainly.com/question/30034780#

#SPJ11

Answer:

p=2

Step-by-step explanation:

10 – (8p + 3) = 9(2p - 5)

(rearrange and distribute) -8+7=18−45

(Subtract and combine) −26=−52

(Divide and find p) p=2

Answer:

2

Step-by-step explanation:

10-(8p+3)=9(2p-5)

10-8p-3=18p-45

26p=52

p=2

Answer:

56.5

Step-by-step explanation:

The parameters given in the equation α^x ≡ β (mod p) are α and β, and the parameter we need to solve for is x.

In the discrete logarithm problem (DLP), we are given a finite cyclic group of integer numbers, denoted by p*. We need to solve the equation α^x ≡ β (mod p).

Let's break down the parameters in this equation:

1. α: This is the given primitive element in the group. It is raised to the power of x.

2. x: This is the unknown element we need to find. It is the exponent to which α is raised.

3. β: This is the given element in the equation. We need to find x such that α^x ≡ β (mod p).

So, in this equation, we are given α and β, and we need to solve for x.

Now, let's consider the other scenarios:

1. Given elements x and β, find primitive element α:
  In this case, we are given x and β, and we need to find the primitive element α. Unfortunately, this is not possible without additional information. We cannot determine the primitive element α solely based on the values of x and β.

2. Given primitive element α and another element β, find x:
  In this case, we are given α and β, and we need to find the value of x. Solving the discrete logarithm problem involves finding the value of x that satisfies the equation α^x ≡ β (mod p). This can be a challenging problem, and there are various algorithms available to solve it, such as the Pollard's rho algorithm, the index calculus algorithm, or the baby-step giant-step algorithm.

3. Given primitive element α, find elements x and β:
  In this case, we are given α and we need to find the values of x and β. Similar to the previous scenario, we cannot determine the values of x and β without additional information. We need either x or β to be given in order to solve the equation α^x ≡ β (mod p).

In summary, the parameters given in the equation α^x ≡ β (mod p) are α and β, and the parameter we need to solve for is x. The other scenarios mentioned have specific requirements in order to determine the missing parameters.

To know more about discrete logarithm problem refer here:

https://brainly.com/question/33235170

#SPJ11

The estimation of the equation 1/6 + 5/6  is 1 (option C).

For rounding a fraction to the nearest whole number, use the "rounding half up" rule if necessary.

To estimate the solution for the equation 1/6 + 5/6, we can round each fraction to the nearest whole number.

The fraction 1/6 is closer to 0 than it is to 1, so we will round it to 0.

The fraction 5/6 is closer to 1 than it is to 0, so we will round it to 1.

Now we can estimate the solution for the equation as follows:

0 + 1 = 1

Therefore, the estimated solution for the equation 1/6 + 5/6 is 1.

The correct answer is C. 1.

Learn more about rounding fractions here:

https://brainly.com/question/26623700

#SPJ11

Answer:

D

Step-by-step explanation:

A. 9x9 = 81

B. 2x2x2x2x2 = 32

C. 10x10 = 100

D. 5x5x5x5 = 625

Answer:

5⁴ has the greatest value

Step-by-step explanation:

9² = 9 x 9 = 81

2⁵ = 2 x 2 x 2 x 2 x 2 = 32

10² = 10 x 10 = 100

5⁴ = 5 x 5 x 5 x 5 = 624

Therefore, 5⁴ has the greatest value!

Hope this helps!

Answer:

.

Step-by-step explanation:

Answer:

I'm pretty sure it's c.

Step-by-step explanation:

40 times 5.5 is 220. +5 would be 225.

50 times 5.5 is 275. +5 iss 280

Answer:

x=12

Step-by-step explanation:

tangent forms 90° with the touch point at circle

(x+8)^2 = 256+x^2

x^2 + 16x + 64 = 256 + x^2

16x = 192

x= 12

Based on the given probabilities:

Events A and B are independent.

Events B and C are mutually exclusive.

Events C and A are independent.

To determine whether pairs of events are independent or mutually exclusive, we need to analyze their conditional probabilities.

Pair A and B:

P(A) = 0.26, P(B) = 0.5, and P(A|B) = 0.26. The fact that P(A|B) is equal to P(A) suggests that events A and B are independent. This means that knowing the occurrence of event B does not affect the probability of event A.

Pair B and C:

P(B) = 0.5, P(C) = 0.45, and P(B|C) = 0. The fact that P(B|C) is equal to 0 implies that events B and C are mutually exclusive. This means that if event C occurs, event B cannot occur, and vice versa.

Pair C and A:

P(C) = 0.45, P(A) = 0.26, and P(C|A) = 0.26. The fact that P(C|A) is equal to P(C) suggests that events C and A are independent.

To learn more about probabilities click on,

https://brainly.com/question/30708861

#SPJ4

Complete question is:

Given the following information about events A, B, and C, determine which pairs of events, if any, are independent and which pairs are mutually exclusive.

P(A)= 0.26

P(B)= 0.5

P(C)= 0.45

P(A|B)= 0.26

P(B|C)=0

P(C|A)=0.26

Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

Learn more about velocity

https://brainly.com/question/30559316

The correct answer is a. Fail to reject the null hypothesis.

Explanation:
When performing a hypothesis test, the alpha level is the probability of rejecting the null hypothesis when it is actually true. A lower alpha level, such as 0.05, means that there is a smaller chance of making a Type I error (rejecting the null hypothesis when it is actually true). If the null hypothesis was not rejected at an alpha level of 0.05, it means that there was not enough evidence to support the alternative hypothesis.

When the alpha level is increased to 0.25, the probability of making a Type I error increases, but it does not change the conclusion of the test. The null hypothesis will still fail to be rejected because there is not enough evidence to support the alternative hypothesis.

Learn more about null hypothesis:

https://brainly.in/question/3231387#:~:text=Expert%2DVerified%20Answer&text=Statistical%20hypothesis%20testing%20employs%20null,or%20no%20association%20between%20variables.

#SPJ11