(a) In the figure below, m CED=50° and m AB = 140°. Find m CD.
(b) In the figure below, m VYW=36 and m VX = 62. Find m VW

Answer:

13.7

Step-by-step explanation:

A{2} + B{2} =C{2} \\

6{2} +B{2} =15{2} \\

6x6+B(2) =15x15\\

36+B(2)=225\\

            -36\\

            \sqrt{189} =13.7

Answer:

  (5.4)^9

Step-by-step explanation:

You want the simplified form of (5.4)(5.4^2)^4.

It can be useful to think of integer exponents as telling you how many times the base is a factor in the product.

  (5.4)(5.4^2)^4 = (5.4)·((5.4)(5.4))^4

  = (5.4)·((5.4)(5.4))·((5.4)(5.4))·((5.4)(5.4))·((5.4)(5.4))

Eliminating excess parentheses, we see the product is ...

  = (5.4)(5.4)(5.4)(5.4)(5.4)(5.4)(5.4)(5.4)(5.4)

This has 9 factors of 5.4, so ...

  = (5.4)^9

Samia walked 2.8 km to reach her friend's house if she walked at the speed of 5 kilometers per hour.

Let's consider the distance that Samia had to travel in total is 2x. We know that the length of the bike ride and how far she walked are equal, so they are both (2x/2) or x.

She bikes at an average speed of 17 kph, so she travels the distance she bikes in (x/17) hours. She walks at a rate of 5 kph, so she travels the distance she walks in (x/5) hours. Now we use an algebraic expression as follows;

The total time is;

(x/17) + (x/5) = 22x/85.

This is equal to (44/60) = (11/15) of an hour.      

Now solving for x;

22x ÷ 85 = 11 ÷ 15

22x = 85 × (11 ÷ 15)

22x = 62.33

x = 62.33 ÷ 22

x = 2.8

Since x is the distance of how far Samia traveled by both walking and biking, and we need to know how far Samia walked to the nearest tenth, we have the result that Samia walked about 2.8 Km.

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The mean, variance and the standard deviation for the distance travelled by 10 students is computed as-

Mean  = 3.12; standard deviation = 1.8232; variance = 3.324

Total students n = 10 .

Given the information, 1, 5, 2, 3, 5, 4, 8, 1, 2, 2, 5, 1.5, and 0.8

To determine the mean, we must first add up all the information provided and divide it by the number of students.

X = 1.1 + 5.2 + 3.6 + 5.0 + 4.8 + 1.8 + 2.2 + 5.2 + 1.5 + 0.8

X = 31.2

Mean  = X/n

Mean  = 31.2/10

Mean  = 3.12

Now the standard deviation is estimated as-

S = √∑x² - [(∑x)²/n] / (n-1)

Putting the values-

s = 1.8232

standard deviation = 1.8232

The variance is estimated by -

variance = S²

S² = 1.8232²

variance = 3.324

Thus, the mean, variance and the standard deviation for the distance travelled by 10 students is computed.

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The complete question is-

In a random sample, 10 students were asked to compute the distance they travel one way to school to the nearest tenth of a mile. Compute the sample mean, standard mean, standard deviation and variance of the data:1.1 5.2 3.6 5.0 4.8 1.8 2.2 5.2 1.5 0.8 Mean = ?, Variance = ?; Standard Deviation= ?

Answer:

5 inches

Step-by-step explanation:

Rate: 3/4 in/hr

In 4 hours, the amount that burned is 4 hr * 3/4 in/hr = 3 in

Amount of candle left: 8 in - 3 in = 5 in

Answer: 5 inches

a) P(te < 23) = 0 and (b) P(te < 32) = 4.02 and The probability of 95% that the project will be completed is 16 days.

The probability of an event is a number that indicates the probability of the event occurring. Expressed as a number between 0 and 1 or as a percent sign between 0% and 100%. The more likely an event is to occur, the greater its probability. The probability of an impossible event is 0; the probability of a certain event occurring is 1. The probabilities of two complementary events A and B - either A occurring or B occurring - add up to 1.

According to the Question:

Value of probability 95% = 3

   Z =  Tₐ-Tₙ/σ

⇒ 3 = Tₐ - 10/2

⇒ Tₐ = 16 days.

Therefore, the probability 95 percent that the project will be completed is 16 days.

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5.51181102 feet (5 feet 6 9⁄64 inches)

Using off-colored language in speech is almost always a bad choice for the following reasons: it models inappropriate language in public, sets the speaker apart from other public speakers, and can be seen as disrespectful towards the audience.

However, one exception to this is that it cannot be known in advance to what extent the use of rude epithets might undermine the speaker's credibility with audience members. Using off-colored language in public speech is generally discouraged because it models inappropriate language and behavior. When we speak in public, we serve as models for how people ought to speak in public settings. By using foul language, we contribute to a culture of disrespectful and offensive communication, which is not conducive to maintaining a professional or respectful environment. Furthermore, the use of off-colored language can make a speaker stand out in a negative way. Public speakers often aim to be memorable for their ideas, expertise, and ability to engage the audience, rather than for their use of inappropriate language. By resorting to offensive language, a speaker risks being remembered primarily for their choice of words rather than the substance of their message. In addition, many people view the use of foul language as a sign of disrespect towards the audience. Such language can alienate listeners and create a sense of discomfort or offense. Public speaking is about establishing a connection with the audience, and using offensive language undermines this connection by conveying a lack of respect for the audience's sensibilities. However, there is one exception to the negative consequences of off-colored language in speech. It is difficult to predict in advance the extent to which the use of rude epithets might undermine a speaker's credibility with audience members. While it is generally advisable to avoid offensive language, there may be situations or specific audiences where the use of certain language is deemed acceptable or even expected. Nonetheless, it is crucial to exercise caution and consider the potential risks before deviating from appropriate and respectful speech.

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Answer:

Step-by-step explanation: the answer is 20, 48, 52

Answer:

Option (C)

Step-by-step explanation:

Geometric sequence has been given as,

6, -24, 96. -384.......

First term of this sequence = 6

\(a_1=6\)

Recursive formula of geometric sequence is given by,

\(a_n=a_{n-1}(r)\)

Here r = common ratio of successive and previous term

From the given sequence,

r = \(\frac{a_2}{a_1}\)

 = \(\frac{-24}{6}\)

 = (-4)

Recursive formula of the given sequence will be,

\(a_n=a_{n-1}.(-4)\)

Therefore, Option (C) will be the correct option.

Step-by-step explanation:

\(i \: \: think \: \: it \: \: is \: \\ \\ {a}^{2} - 2ab + {b}^{2} \\ \\ that \: is \: for \: \: {(a - b)}^{2} \)

I hope that is useful for you :)

Answer:

Ellis needs to buy 21 packages of tiles to build the extension.

Step-by-step explanation:

There are 3 rectangles that are 6.25 m by 1.5 and 2 squares with a side length of 1.5 m  To build the extension, Ellis needs 32.625 m of tile. Each tile is 0.25 wide and 0.25 m long so Elis needs 16 tiles to build 1 m of the extension. Elis buys tiles in packages of 25. Since Ellis cannot buy part of a package, she will need 21 packages to have enough tiles. Ellis needs to buy 21 packages of tiles to build the extension. (*￣▽￣)b

Answer:

SOHCAHTOA

Step-by-step explanation:

Sine=Opposite/hypotenuse

Cosine= Adjacent/hypotenuse

Tangent: Opposite/adjacent

You can use SOHCAHTOA to memorize all the basic functions.

SOH for sine

CAH for cosine

TOA for tangent    

Answer:

Sin= opp/hyp

Cos=adj/hyp

Tan=opp/adj

The mood of the categorical syllogism in example 2 is AIO.

In your example, we have the following premises and conclusion:

1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.

The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).

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Answer:

3D= -2

5D= -4

Step-by-step explanation:

3D = 2d -2

3d - 2d = -2

d= -2

5d =4d-4

5d - 4d = -4

d = -4

hope it will help you

Answer:

Step-by-step explanation:

Dilation about the origin multiplies each coordinate value by the dilation factor.

For dilation factor k, the new coordinates are ...

  (x, y) ⇒ (kx, ky)

Your dilation factor is 3, so the transformation is ...

  (x, y) ⇒ (3x, 3y)

  A(-1, 4) ⇒ A'(-3, 12)

  B(3, 2) ⇒ B'(9, 6)

  C(-2, -2) ⇒ C'(-6, -6)

Answer:

2$

Step-by-step explanation:

Answer: x = 55°

Step-by-step explanation:

1) The angl of a straight line is 180°

one angle of the line is given, which is 125°

So, to find the other one we will do 125° + x = 180°

x = 55°

Answer:

G

Step-by-step explanation:

when noticing the transitions of the variables from variable to variable prime, for example from K to K' (when it has an apostrophe that means its prime), only the y value is being changed. it is being turned negative

Answer: 18.75

Step-by-step explanation:

Thx for the question

In the case of the electronic chess game, with a useful life that follows an exponential distribution with a mean of 30 months, we need to determine the length of service time after which the percentage of failed units will approximately equal 50 percent. The options provided are 9 months, 16 months, 21 months, and 25 months.

For the major television manufacturer, the service life of its 50-inch LED televisions follows a normal distribution with a mean of six years and a standard deviation of half a year. We are asked to calculate the probability of service lives of at least five years.

1. Electronic Chess Game:

The exponential distribution is characterized by a constant hazard rate, which implies that the percentage of failed units follows an exponential decay. The mean of 30 months indicates that after 30 months, approximately 63.2% of the units will have failed. To find the length of service time when the percentage of failed units reaches 50%, we can use the formula P(X > x) = e^(-λx), where λ is the failure rate. Setting this probability to 50%, we solve for x: e^(-λx) = 0.5. Since the mean (30 months) is equal to 1/λ, we can substitute it into the equation: e^(-x/30) = 0.5. Solving for x, we find x ≈ 21 months. Therefore, the length of service time after which the percentage of failed units will approximately equal 50 percent is 21 months.

2. LED Televisions:

The service life of 50-inch LED televisions follows a normal distribution with a mean of six years and a standard deviation of half a year. To find the probability of service lives of at least five years, we need to calculate the area under the normal curve to the right of five years (60 months). We can standardize the value using the formula z = (x - μ) / σ, where x is the desired value, μ is the mean, and σ is the standard deviation. Substituting the values, we have z = (60 - 72) / 0.5 = -24. Plugging this value into a standard normal distribution table or using a calculator, we find that the probability of a service life of at least five years is approximately 1.0000 (or 100% with four digits after the decimal point).

Therefore, the probability of service lives of at least five years for 50-inch LED televisions is 1.0000 (or 100%).

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Answer:

-7 and 12 gl

Step-by-step explanation:

Answer:

1. -7

2. 12

Step-by-step explanation:

Hope this helps :)

answer: d

explanation: it just is

Step-by-step explanation:

To find the angle between a line and the x-axis, we need to calculate the slope of the line first. The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Using the points (-2, 2) and (8, 9), we can substitute the values into the formula:

m = (9 - 2) / (8 - (-2))

= 7 / 10

= 0.7

The slope of the line is 0.7. The angle between the line and the x-axis can be found using the inverse tangent (arctan) function. The tangent of an angle is equal to the slope of the line, so we can write:

tan(θ) = 0.7

Taking the inverse tangent of both sides, we find:

θ = arctan(0.7)

Using a calculator, we can evaluate this to be approximately:

θ ≈ 35.87 degrees

Therefore, the angle between the line and the x-axis is approximately 35.87 degrees.

The value evaluated for the given question is undefined under the condition that dy/dx; y = S0 ³√x cos(t³)dt .

We can evaluate this problem using the chain rule of differentiation

Let us proceed by finding the derivative of y concerning t

dy/dt = ³√x cos(t³)

We have to find dx/dt by differentiating x concerning t

dx/dt = d/dt (S0) = 0

Applying the chain rule, we evaluate dy/dx

dy/dx = dy/dt / dx/dt

dy/dx = (³√x cos(t³)) / 0

The value evaluated for the given question is undefined under the condition that dy/dx; y = S0 ³√x cos(t³)dt .

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Answer:

Step-by-step explanation:

Stage 1

Stage 2

Stage 3

Equation for stage n:

Answer:  Orange Juice has the greater percentage of water (75 vs 40%)

40% of the Apple Juice is water.

Step-by-step explanation:

Apple Juice:  Water content is (32oz/80oz) = 0.40 or 40%

Orange Juice:  Water content is (48oz/64oz) = 0.75 or 75%

The tables is completed as follows

5.1.1

1    8

2   16

4    24

6   48

8    64

12    96

5.1.2

The type of proportion is Direct Proportion

5.2.1

1    8

2   4

4    2

6     1

8    0.5

5.1.3

The type of proportion is Inverse Proportion

Direct Proportion: A direct proportion is a relationship between two variables where an increase in one variable results in a proportional increase in the other variable, and a decrease in one variable results in a proportional decrease in the other variable.

The general formula for a direct proportion is y = kx,

where

k is the constant of proportionality.

Inverse Proportion: An inverse proportion is a relationship between two variables where an increase in one variable results in a proportional decrease in the other variable, and a decrease in one variable results in a proportional increase in the other variable.

The general formula for an inverse proportion is y = k/x,

Joint Proportion: A joint proportion is a relationship between three or more variables where one variable is directly proportional to the product of the other variables.

The general formula for a joint proportion is y = kxy,

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The actual nominal rate of return is approximately 6.68%. None of the provided answer options exactly match this value, but the closest option is 6.77%.

To calculate the actual nominal rate of return, we use the Fisher equation:

Nominal Rate = (1 + Real Rate) * (1 + Inflation Rate) - 1

Given:

Real Rate = 3.87% (0.0387 as a decimal)

Inflation Rate = 2.75% (0.0275 as a decimal)

Now, let's plug in the values:

Nominal Rate = (1 + 0.0387) * (1 + 0.0275) - 1

Nominal Rate = 1.0387 * 1.0275 - 1

Nominal Rate = 1.0668 - 1

Nominal Rate = 0.0668 or 6.68% (rounded to two decimal places)

So, the actual nominal rate of return is approximately 6.68%. None of the provided answer options exactly match this value, but the closest option is 6.77%.

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Answer:

30ft for the first and the second is 8ft

30 ft and 8 ft hope this helps