Given AD parallel to BC
Prove AED~CEB
use geometry proof please

Answer:

c = 7.

Step-by-step explanation:

The slope = (y2-y1)/(x2-x1) where (x1,y1) and (x2,y2) are the 2 points.

So here we have the equation

- 3 = (3 - (-3)) /(5 - c)

-3 = 6 / (5 - c)    Cross multiply:

-3(5 - c) = 6

-15 + 3c = 6

3c = 6 + 15

3c = 21

c = 7.

The Laplace transform of f(t) = cos²(t) is:

ℒ{f(t)} = (1 + s²) / (2s(s² + 4)).

To find the Laplace transform of f(t) = cos²(t), we can use the trigonometric identity:

cos²(t) = 1/2 (1 + cos(2t))

Applying this identity, we have:

ℒ{f(t)} = ℒ{1/2 (1 + cos(2t))}

Using the linearity property of the Laplace transform, we can split the transform of the sum into the sum of the transforms:

ℒ{f(t)} = 1/2 ℒ{1} + 1/2 ℒ{cos(2t)}

Now, we need to find the Laplace transforms of the individual terms.

The Laplace transform of the constant term 1 is:

ℒ{1} = 1/s

The Laplace transform of cos(2t) can be found using the property:

ℒ{cos(at)} = s / (s² + a²)

For our case, a = 2, so we have:

ℒ{cos(2t)} = s / (s² + 2²)

= s / (s² + 4)

Putting it all together, we have:

ℒ{f(t)} = 1/2 ℒ{1} + 1/2 ℒ{cos(2t)}

= 1/2 * (1/s) + 1/2 * (s / (s² + 4))

= 1/2s + s / (2s² + 8)

= (1 + s²) / (2s(s² + 4))

Hence, the Laplace transform of f(t) = cos²(t) is:

ℒ{f(t)} = (1 + s²) / (2s(s² + 4)).

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\( \frac{f}{g} = \frac{ \sqrt[3]{2x} }{2x + 1} \)

The matrix sum A + 3B is undefined because A and 3B have different sizes. The matrix sum 4C - 2E is undefined because the number of rows in C is not equal to the number of columns in E. The matrix products DB and EB are undefined because the number of rows in D is not equal to the number of columns in B, and the number of columns in E is not equal to the number of rows in B, respectively.



The matrix operations to be computed are A + 3B, 4C - 2E, DB, and EB.

The expression A + 3B is undefined because A and 3B have different sizes. In matrix addition, the matrices being added must have the same dimensions, meaning they must have the same number of rows and columns. Since A and 3B have different sizes, their sum cannot be computed.

The expression 4C - 2E is undefined because the number of rows in C is not equal to the number of columns in E. In matrix subtraction, the matrices being subtracted must have the same dimensions. Since C and E have different dimensions, their subtraction cannot be performed.

The expression DB is undefined because the number of rows in D is not equal to the number of columns in B. In matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix. Since the number of columns in D is not equal to the number of rows in B, their product cannot be computed.

Similarly, the expression EB is also undefined because the number of columns in E is not equal to the number of rows in B.

In summary, the matrix sum A + 3B is undefined because A and 3B have different sizes. The matrix sum 4C - 2E is undefined because the number of rows in C is not equal to the number of columns in E. The matrix products DB and EB are undefined because the number of rows in D is not equal to the number of columns in B, and the number of columns in E is not equal to the number of rows in B, respectively.


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Answer:

The slope represents the rate of change of earnings in a week for every unitary change in number of doors knocked. For Jessica's function, her earnings change by +7 units for every unit of door she knocks.

Step-by-step explanation:

So, when comparing this to the meaning of slope stated above, we can say that the slope of Jessica's function represents the rate of change of earnings in a week for every unitary change in number of doors knocked.

Answer:

To solve linear equations with multiplication, you first determine that division is being used in the linear equation. Multiplication is the inverse (opposite) operation of division, so you can use multiplication to solve equations where you notice that a number divides the variable.

Step-by-step explanation:

Answer:

Hi friend, here is the answer that you wanted 2 weeks ago U3U

To solve linear equations with multiplication, you first decide the division is being used in the linear equation. Multiplication is the inverse (Or the opposite) operation of division, so you can use multiplication to solve equations where you find that a number divides the element.

Step-by-step explanation:

Give me brainlest mah friend plz

Answer:

(A)All real solutions

Step-by-step explanation:

Given the function g(x) shown on the graph

One of the points of the parabola is  (-3.5, 0).

The point x=-3.5 is one of the solution of the parabola since it intersects the x-axis at that point.

The other point of intersection is on the positive side between 0 and 1.

Therefore, g(x) has two solutions: One negative real number and one positive real  number.

Therefore, g(x) has all real solutions.

The correct option is A.

Answer:

All solutions that lie on g(x)

Step-by-step explanation:

I took the test and that's the correct answer...

Answer:

After two years in the computing pool, Mary Jackson received an offer to work for engineer Kazimierz Czarnecki in the 4-foot by 4-foot Supersonic Pressure Tunnel, a 60,000 horsepower wind tunnel capable of blasting models with winds approaching twice the speed of sound.

SO this answer would be C.

Step-by-step explanation:

When the weight moves from x = -8 cm to x = 8 cm, the spring moves from its maximum stretched position to its maximum compressed position.Hence, the spring oscillates between its maximum stretched and compressed positions when the weight is set in motion. Therefore, the spring is a simple harmonic oscillator.

Given: Displacement x

= 8 cos t

= Acos(ωt+ φ) where A

= 8 cm, ω

= 1 and φ

=0. To find: What is the spring?Explanation:We know that displacement is given by x

= 8 cos t

= Acos(ωt+ φ) where A

= 8 cm, ω

= 1 and φ

=0.Comparing this with the standard equation, x

= Acos(ωt+ φ)A

= amplitude

= 8 cmω

= angular frequencyφ

= phase angleWhen the spring is at equilibrium position, the weight attached to the spring does not move. Hence, no force is acting on the weight at the equilibrium position. Therefore, the spring is neither stretched nor compressed at the equilibrium position.Now, the spring is set in motion resulting in a displacement of x

= 8 cos t

= Acos(ωt+ φ) where A

= 8 cm, ω

= 1 and φ

=0. The maximum displacement of the spring is 8 cm in the positive x direction. When the weight is at x

= 8 cm, the restoring force of the spring is maximum in the negative x direction and it pulls the weight towards the equilibrium position. At the equilibrium position, the weight momentarily stops. When the weight moves from x

= 8 cm to x

= -8 cm, the spring moves from its natural length to its maximum stretched position. At x

= -8 cm, the weight momentarily stops. When the weight moves from x

= -8 cm to x

= 8 cm, the spring moves from its maximum stretched position to its maximum compressed position.Hence, the spring oscillates between its maximum stretched and compressed positions when the weight is set in motion. Therefore, the spring is a simple harmonic oscillator.

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The displacement of the weight attached to the spring is given by the equation x = 8 cos t. The amplitude of the motion is 8 centimeters and the period is 2π seconds.

The equation x = 8 cos t represents the displacement of a weight attached to a spring in simple harmonic motion. In this equation, x is measured in centimeters and t is measured in seconds.

The amplitude of the motion is 8 centimeters, which means that the weight oscillates between x = 8 and x = -8.

The period of the motion can be determined from the equation T = 2π/ω, where ω is the angular frequency. In this case, ω = 1, so the period T is 2π seconds.

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Answer:

A =33 units^2

Step-by-step explanation:

The area of a rectangle is found by

A = l*w  where l is the length and w is the width

A = 5.5* 6

A =33 units^2

Answer

:Identity Property of Addition

Step-by-step explanation:

Given:

The inequality is

\(x-(5-3x)\leq 2x-1\)

To find:

The solution of the given inequality.

Solution:

We have,

\(x-(5-3x)\leq 2x-1\)

\(x-5+3x\leq 2x-1\)

\(4x-5\leq 2x-1\)

Subtract 2x from both sides.

\(4x-5-2x\leq 2x-1-2x\)

\(2x-5\leq -1\)

Add 5 on both sides.

\(2x-5+5\leq -1+5\)

\(2x\leq 4\)

Divide both sides by 2.

\(x\leq 2\)

It means, the numbers less than 2 or 2 are included in the solution set.

Number on the left side of 2 are less than 2. So, number line with a filled circle at 2 and shading to the left.

Therefore, the correct option is D.

Answer:

\(Width = x^2 - 8\)

Step-by-step explanation:

Given

\(L = 16 + W\)

\(Area = x^4 - 64\)

Required

An expression for the width

We have:

\(Area = x^4 - 64\)

Express as difference of two squares:

\(Area = (x^2 + 8)(x^2 - 8)\)

For all acceptable values of x,

\(x^2 + 8>x^2 - 8\)

So:

\(Length = x^2 + 8\)

\(Width = x^2 - 8\)

The probability of mistakenly rejecting the restaurant owner's claim if it is true is 14.28% (or 0.1428).

This can be calculated using the binomial distribution formula:

P(X >= 18) = 1 - P(X < 18)

where X is the number of tourists who stay longer than 2 days.

Assuming the restaurant owner's claim is true, the probability of a tourist staying longer than 2 days is 0.15.

Therefore,

P(X < 18) = binomdist(17, 100, 0.15, TRUE) = 0.8572

Substituting into the first equation, we get:

P(X >= 18) = 1 - 0.8572 = 0.1428

So the probability of mistakenly rejecting the restaurant owner's claim if it is true is 14.28%.

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To answer this question, we need to use hypothesis testing.

Null hypothesis (H0): Only 15% of visiting tourists stay for more than 2 days.

Alternative hypothesis (Ha): The percentage of tourists staying for more than 2 days is higher than 15%.

We are given that the chamber of commerce volunteer plans to survey 100 tourists and will speak up if at least 18 of them stay longer than 2 days. This means that our test statistic is the number of tourists who stay longer than 2 days, which follows a binomial distribution with parameters n = 100 and p = the true percentage of tourists who stay longer than 2 days.

To calculate the probability of mistakenly rejecting the null hypothesis if it is true (also known as the type 1 error rate or alpha), we need to assume a significance level. Let's assume a significance level of 0.05 (or 5%).

Using a binomial calculator, we can find the probability of observing at least 18 tourists who stay longer than 2 days under the null hypothesis:

P(X >= 18 | n = 100, p = 0.15) = 0.088

This means that there is an 8.8% chance of mistakenly rejecting the restaurant owner's claim if it is true.

Therefore, the answer is 8.8% or 0.088 (rounded to three decimal places).

Answer:

10

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

Since the triangles are similar, the ratio of the pair of each corresponding side must be the same as the ratios of other corresponding sides.

Answer:

except 7/4

Step-by-step explanation:

The ratio of 4 to 7 is the same as the fraction 4/7

7/4 is not equal to 4/7 and therefore they cannot be written in the same way.

Answer:

70.2g

Step-by-step explanation:

62.4 g will make 8 cakes, so to find out how much sugar we need to make

1 cake will divide 62.4 into 8 equal parts.

62.4/8 = 7.8g of sugar is needed to make 1 cake

62.4+7.8 = 70.2g  will make 9 cakes

All correct proportions include the following:

A. \(\frac{AC}{CE} =\frac{BD}{DF}\)

D. \(\frac{CE}{DF} =\frac{AE}{BF}\)

In Mathematics and Geometry, two geometric figures are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Hence, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar.

Since line segment AB is parallel to line segment CD and parallel to line segment EF, we can logically deduce that they are congruent because they can undergo rigid motions. Therefore, we have the following proportional side lengths;

\(\frac{AC}{CE} =\frac{BD}{DF}\)

\(\frac{CE}{DF} =\frac{AE}{BF}\)

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The difference between the percentage of students enrolled in propel who had a GPA of 3.0 or greater and the percentage of students not enrolled in propel who had a GPA of 3.0 or greater is 12%.

There are 61 students enrolled in Propel who had a GPA of 3.0 or greater and 48 students enrolled in Propel who had a GPA of less than 3.0, so there are a total of 61 + 48 = 109 students enrolled in Propel.

The percentage of students enrolled in Propel who had a GPA of 3.0 or greater is 61 100% 109 × ≈ 55.96% or about 56%. There are 95 students who are not enrolled in Propel who had a GPA of 3.0 or greater and 123 students not enrolled in Propel who had a GPA of less than 3.0, so there are a total of 95 + 123 = 218 students who are not enrolled in Propel.

The percentage of students not enrolled in Propel who had a GPA of 3.0 or greater is 95 100% 218 × ≈ 43.58% or about 44%.

Therefore, the difference, to the nearest whole percent, between the percentage of students enrolled in Propel who had a GPA of 3.0 or greater and the percentage of students not enrolled in Propel who had a GPA of 3.0or greater is 56% − 44% = 12%.

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Answer:

8/7

Step-by-step explanation:

The Numerator is bigger than the denominator which in turn can be converted to a mixed fraction.

The value of the equation is x=20.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here the given equation is

=> 2(x-5)=9-3x+6+8+3x+7

Now simplify the equation for x then

=> 2x-10 = 30-3x+3x

=> 2x-10=30

=> 2x=30+10

=> 2x=40

=> x=20

Hence the value of the equation is x=20.

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The 95% confidence interval for the mean knowledge of the workers is approximately 58.554 to 66.446.

The critical value for a 95% confidence level using the standard normal distribution is approximately 1.96. This value corresponds to the two-tailed test with a confidence level of 95%. We will use this critical value to calculate the confidence interval.

Now, let's plug in the values into the formula:

Sample mean = 62.5

Standard deviation = 5.3

Sample size = 50

Critical value = 1.96

Confidence interval = 62.5 ± (1.96 * 5.3 / √50)

To calculate the square root of the sample size (√50), we find that it is approximately 7.07.

Confidence interval = 62.5 ± (1.96 * 5.3 / 7.07)

Simplifying further:

Confidence interval = 62.5 ± (0.745 * 5.3)

Confidence interval = 62.5 ± 3.946

Finally, we can calculate the lower and upper bounds of the 95% confidence interval:

Lower bound = 62.5 - 3.946 = 58.554

Upper bound = 62.5 + 3.946 = 66.446

This means that we can be 95% confident that the true mean knowledge of the entire population falls within this range based on the sample data provided by the baker.

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Answer:

B.× =158.11

IS THE ANSWER

x=158.11 is the solution to 24•log(2x) = 60, rounded to two decimal places

Answer:

no solution

Step-by-step explanation:

distribute the -5 to the parenthesis

-5w + 20 < -5w - 15

move all the numbers on right and variables on left

20 + 15 < 0

35 < 0

no solution

Answer:

x=6

Step-by-step explanation:

5x+150=180

-150 -150 (subtract 150 from both sides)

5x=30

x=6

Answer:

x = 6

Step-by-step explanation:

Supplementary angles add up to 180 degrees, and lines A and B are parallel, so:

180 - 150 = 30

30/5 = x

6 = x

Answer:

2. 7 parts are not green. 3. There both equal amounts.

Step-by-step explanation:

Answer:

Orange:

1/4 ÷ 4 = 1/16

1/4 + 1/16 = 5/16

Blue:

1/16 + 1/5 = 21/80

Yellow:

1/4 + 1/16 = 5/16

Green:

1 - 1/5 = 4/5

1/16 + 4/5 = 69/80

__________________

1 - 69/80 = 11/80

__________________

5/16 - 21/80 = 1/20

The three common elements of an optimization problem are b. decisions, constraints, and an objective.

Decisions refer to the choices or actions that can be taken in order to achieve a specific goal. Constraints are the limitations or restrictions that must be considered when making decisions. An objective is the goal that needs to be achieved, and it can be either maximizing or minimizing a specific quantity. In an optimization problem, the task is to find the optimal decision variables that satisfy the given constraints and achieve the objective.

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