Find the value of x
*giving brainliest*

Answer:

8/15

Step-by-step explanation:

With reference angle B

Perpendicular (p) = 16

base (b) = 30

so

Tan B = p/ b

= 16/30

= 8/15

Hope it will help :)❤

The Euler's formula relates the vertices, faces and the edges of a polyhedron.

The correct option is (e) \(V = 6\)    \(E = 10\)    \(F = 6\)     \(6- 10 + 6 = 2\)

First, we count the number of faces. This is the flat parts of the shape.

The attached shape has 6 flat surfaces.

So:

\(F = 6\)

Next, we count the number of edges. This is where two faces meet.

The attached shape has 10 edges;

So:

\(E = 10\)

Lastly, we count the number of vertices. This is where two edges meet.

The attached shape has 6 vertices.

So:

\(V = 6\)

Using Euler's formula, we have:

\(V - E + F = 2\)

Substitute values for V, E and F

\(6- 10 + 6 = 2\)

\(2 = 2\)

Hence, the polyhedron has 6 vertices, 10 edges and 6 faces

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Answer:

it is 1265 ?!?!?!!?!?!!?

Step-by-step explanation:

work out

The distance between the bob of a swinging pendulum and the wall as a function of time t can be modeled by a sinusoidal expression of the form a ⋅ sin(b ⋅ t) + d. When the pendulum is in the middle of its swing, the bob is 5 cm away from the wall when t = 0, and it is 3 cm from the wall 1 second later.

What is the amplitude of the sinusoidal expression? The amplitude of a sinusoidal function is defined as the distance between the maximum and minimum values of the function. As a result, the amplitude is given by the expression |a|.

Since the distance between the bob of the pendulum and the wall is given by a ⋅ sin(b ⋅ t) + d, we can utilize the two distance measurements given in the problem to determine the amplitude. We know that the distance between the bob and the wall is 5 cm when t = 0, and we know that the bob reaches its closest point to the wall 1 second later, when it is 3 cm from the wall.

This tells us that the amplitude is given by the expression |a| = (5 - 3)/2 = 1.What is the period of the pendulum's motion?The period of the pendulum's motion is the amount of time it takes for the pendulum to complete one full swing. It can be computed using the formula T = 2π/ω, where T is the period, and ω is the angular frequency, which is given by the expression ω = 2π/T.

Since the distance between the bob of the pendulum and the wall is given by a ⋅ sin(b ⋅ t) + d, we know that the value of b determines the frequency of the function. Specifically, the period of the function is given by the expression T = 2π/b. To determine the value of b, we can utilize the fact that the bob reaches its closest point to the wall 1 second after t = 0, and the function has completed one full cycle at that point.

This implies that a ⋅ sin(b ⋅ 1) + d = a ⋅ sin(b ⋅ 0) + d = a ⋅ sin(0) + d = a ⋅ 0 + d = d, which means that d = 3. Plugging this into the expression for the function, we get 5 = a ⋅ sin(b ⋅ 0) + 3, which implies that a = 2. Therefore, the period of the pendulum's motion is given by the expression T = 2π/b = 2π/(2π/1) = 1 second.

What is the phase shift of the sinusoidal expression? The phase shift of a sinusoidal expression is the horizontal displacement of the function from its equilibrium position. It is given by the expression c = -d/b, where d is the vertical displacement of the function and b is the coefficient of t.

Since d = 3 and b = 2π/T = 2π/1 = 2π, we have c = -3/(2π) ≈ -0.955. Therefore, the phase shift of the sinusoidal expression is approximately -0.955 seconds.

What is the equation for the distance between the bob of the pendulum and the wall as a function of time t? We have determined that the amplitude of the function is 1, the period is 1 second, and the phase shift is -0.955 seconds. Therefore, the equation for the distance between the bob of the pendulum and the wall as a function of time t is given by the expression D(t) = 2 sin(2π(t - 0.955)) + 3.

Answer: The amplitude of the sinusoidal expression is 1. The period of the pendulum's motion is 1 second. The phase shift of the sinusoidal expression is approximately -0.955 seconds. The equation for the distance between the bob of the pendulum and the wall as a function of time t is given by the expression D(t) = 2 sin(2π(t - 0.955)) + 3.

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I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

The most appropriate test statistic to use for an experiment on relaxation techniques is matched pairs test. So, option(a) is right one.

For determining the validity of an asserting claim, the appropriate test statistic is formulated based on the population parameter to be tested from the estimated test statistic. Determining a claim related to a single parameter (e.g., the population mean) an appropriate test statistic, i.e., t-statistic or z-statistic is chosen based on the sample size. Also, In the case of claim related to examining the relationship between two population parameters, the two-sample test for t- or z statistic is formulated, based on appropriate sample sizes. We have an experiment related to relaxation techniques. The subject's brain signals were noted before and after the relaxation exercises. Claim is that relaxation exercise slowed the brain waves. There is two data sets one before and other after the relaxation exercise. So, for check the claim is true or not we use the matched pairs. The matched-pair t-test (or paired t-test or dependent t-test) that is used when the data from the two groups can be presented in pairs.

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Answer:

The relationship between x and y is a negative linear relationship

Step-by-step explanation:

To construct a scatterplot, we plot each (x,y) pair as a point in a coordinate plane. Using the given data, we get:

(x,y) = (3,34), (6,28), (10,20), (14,12), (18,5), (23,0)

We can then plot these points and connect them with a line to visualize the relationship:


  35|                      .
    |                .      
    |          .            
    |    .                  
    |.                      
  0 +------------------------
    0   5   10   15   20   25  
              x              


From the scatterplot, we can see that the relationship between x and y is a negative linear relationship. As x increases, y tends to decrease.

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Answer:

y=1/3x-3

Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

Use the two points: (0,-3) (3,-2)

slope = (-3+2)/(0-3)

slope = -1/-3 = 1/3

y intercept = -3

Equation: y=1/3x-3

The probability that of today's 1,000 callers, at least 5 received a busy signal is approximately 0.0373. 

Typically a binomial dissemination issue where we have n = 1000 trials, each with a victory likelihood of p = 0.0032 (0.32%).

We need to discover the likelihood that at the slightest 5 trials result in victory (accepting an active signal).

Utilizing the compliment to run the show, we will discover the likelihood of having less than 5 triumphs and subtract it from 1 to urge the likelihood of having at slightest 5 successes:

P(X ≥ 5) = 1 - P(X < 5)

To calculate P(X < 5), we will utilize the binomial likelihood equation or estimation:

P(X < 5) = Σ P(X = k) for k = to 4

Utilizing the binomial likelihood equation:

P(X < 5) = Σ (1000 select k) * (0.0032)\(^k\) * (1 - 0.0032)\(^(1000 - k)\)

for k =0 to 4

where (1000 select k) = 1000! / (k! * (1000 - k)!)

Stopping within the values and summing up:

P(X < 5) = 0.9627

In this manner, the likelihood of having at slightest 5 triumphs is:

P(X ≥ 5) = 1 - P(X < 5) = 1 - 0.9627 = 0.0373

So, the likelihood that at slightest 5 out of 1000 callers get an active flag is 0.0373, or roughly 0.0373. 

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The given planes intersect at some line. The objective is to find the parametric representation of that line. Now, the direction of the line can be determined by the cross product of the normal vectors of the planes.

Then, the position of a point on the line can be obtained by solving for the point that satisfies both the plane equations. Using x−2y+2z=−5 and x+3y−3z=0, we can obtain the normal vectors of the planes.\\([\vec{n_1} = \begin{bmatrix} 1 \\ -2 \\ 2 \end{bmatrix}\]\)and \\([\vec{n_2} = \begin{bmatrix} 1 \\ 3 \\ -3 \end{bmatrix}\]\)Taking the cross product of the two vectors, we can obtain the direction of the line. \(\[\vec{d} = \vec{n_1} \times \vec{n_2} = \begin{bmatrix} 6 \\ 3 \\ 9 \end{bmatrix}\]\)Now, we need to find a point on the line.

That can be obtained by solving the two equations. Let's solve for x in the first equation. \(\[x = 2y-2z-5\]\)Then, substitute this value of x in the second equation and solve for y and z. \\([2y-2z-5 + 3y - 3z = 0\]\[5y - 5z = 5\]\[y - z = 1\]\)Let y = t. Then, z = t - 1 and x = 2t - 2(t-1) - 5. Simplifying, we get\(\[x = 4-2t\]\)Therefore, the parametric representation of the line is: \(\[\begin{aligned} x(t) &= 4 - 2t \\ y(t) &= t \\ z(t) &= t - 1 \end{aligned}\]\)The above information counts up to a total of 121 words.

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Since each packet received is independent of any other packet, we can model X as a binomial distribution with parameters n=10 and p=0.05 (the probability of receiving a packet with errors is 1-0.95=0.05).

The probability mass function (PMF) of X is given by:

P(X=k) = (10 choose k) * 0.05^k * 0.95^(10-k), for k = 0, 1, 2, ..., 10

where (10 choose k) is the binomial coefficient, representing the number of ways to choose k packets out of 10.

So, for example, the probability of receiving exactly 2 packets with errors is:

P(X=2) = (10 choose 2) * 0.05^2 * 0.95^8
= 45 * 0.0025 * 0.4305
= 0.0463

Similarly, we can calculate the probabilities for other values of k.
Hi, I'd be happy to help you with your question. Let's find the probability mass function (PMF) of X, where X represents the number of packets received with errors out of 10 packets, and the packets are independent with a 0.95 probability of being error-free.

1. Define the probability of success (error-free) and failure (with errors).
  Success (error-free): p = 0.95
  Failure (with errors): q = 1 - p = 0.05

2. Since the packets are independent, we can use the binomial distribution to model the problem. The PMF of a binomial distribution is given by:
  P(X = k) = C(n, k) * p^k * q^(n-k)

3. In our case, n = 10 (number of packets received), and we need to find P(X = k) for k = 0, 1, 2, ..., 10.

So, the PMF of X, the number of packets received with errors out of 10 independent packets, is:

P(X = k) = C(10, k) * (0.95)^k * (0.05)^(10-k), for k = 0, 1, 2, ..., 10.

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Answer:

Step-by-step explanation:

The question is asking how many times does 50 go into 425?

or 450/50 = ?

my calculator says it's 9 .  What does your calculator say?

since we now know it's 9 times,   we can just multiply 9 * 10 minutes

by observation of 9*10,  I get the answer,  what answer do you get?

Answer:

m = - 1 and b = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line

m = \(\frac{-3-2}{2-(-3)}\) = \(\frac{-5}{2+3}\) = \(\frac{-5}{5}\) = - 1

b is the y- intercept, that is where the graph crosses the y- axis.

line crosses the y- axis at (0, - 1 ) ⇒ b = - 1

Based on the provided voltage readings, the polarity of the single-phase transformer can be identified as follows: the dot notation represents the primary winding, while the numerical labels indicate the corresponding terminals.

The primary and secondary windings are denoted by L1 and L2, respectively. The polarities can be determined by observing the voltage readings across various terminal combinations.

To identify the polarity of a single-phase transformer, you can analyze the voltage readings obtained from different terminal connections. In this case, let's consider the given readings.

When measuring the voltage between L1 and L2, we obtain a reading of 121 volts. This indicates the voltage across the primary and secondary windings in the same direction, suggesting a non-reversed polarity.

Next, measuring the voltage between terminals 1 and 4 while connecting terminals 2 and 3 results in a reading of 26.47 volts. This implies that terminals 1 and 4 have the same polarity, while terminals 2 and 3 have opposite polarities.

Similarly, when connecting terminals 2 and 4 and measuring the voltage between terminals 1 and 3, a reading of 7.32 volts is obtained. This indicates that terminals 1 and 3 have the same polarity, while terminals 2 and 4 have opposite polarities.

For the combination of terminals 6 and 7, a voltage reading of 25.78 volts is measured between terminals 5 and 8. This suggests that terminals 5 and 8 have the same polarity, while terminals 6 and 7 have opposite polarities.

Lastly, when connecting terminals 5 and 7 and measuring the voltage between terminals 6 and 8, a reading of 5.42 volts is obtained. This indicates that terminals 6 and 8 have the same polarity, while terminals 5 and 7 have opposite polarities.

By considering the polarity relationships observed in these readings, we can conclude that the primary and secondary windings of the single-phase transformer have the same polarity. The dot notation indicates the primary winding, and the numerical labels represent the terminals.

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Answer:

Step-by-step explanation:

X = 152 -90 = 62 degree

Answer:

Step-by-step explanation:

-8+35 = 27

-16+4 = -12 but when you take the absolute value it turns positive.

So 27+ 12 is 39

Answer:

explanation below

Step-by-step explanation:

(n - 2) * 180 = 8100

n - 2 = 8100/180

n - 2 = 45

n = 45 + 2

n = 47 sides <---answer

happy to help ya :)

To find the percentage, we must move the decimal place to the right two times. After doing this, 0.66 written as a percentage is 66%.

Answer:

66%

Step-by-step explanation:

All you do is put the decimal places two please to the right or do the number times 100.     .66 times 100= 66%

Answer:

18

Step-by-step explanation:

product of prime factors

9=3^2

18=2*3^2

LCM of 9 and 18 = 2*3^2

=18

Answer:

Step-by-step explanation:

Take the x-value and subtract the amount that you're moving right:

(-4-7) = -11 for the new x-value

Take the y-value and subtract the amount you're moving down:

(2-4)=-2

So the new center is (-11, -2)

Answer:

1.28

Step-by-step explanation:

Given a confidence (c) = 0.80

α = 1 - c = 1 - 0.8 = 0.2

α/2 = 0.2/2 = 0.1

From the normal distribution table, The critical value necessary to form a confidence interval is gotten by getting the z value of α/2, which is the same as that of 0.4 (0.5 - 0.1). The z value of α/2 is:

\(z_\frac{\alpha}{2} =z_{0.01}=1.28\)

By applying the algebra concept, it can be concluded that Leona ordered 25 boxes of pens.

Algebra is a branch of mathematics that uses symbols and mathematical operations, such as addition, subtraction, multiplication, and division to solve problems.

We have this information:

The price of a box of pens = $8

The price of a box of rubber bands = $4

Total order = 30 boxes

Total payment = $220

Let p symbolize the number of pens and r symbolize the number of rubber bands. Now we have the following equations:

p + r = 30 ....................... (1)

8p + 4r = 220 ............... (2)

To find the value of p and r, we can do it by simplifying the first equation as follows:

p + r = 30

r = 30 - p

Then we can substitute this value into the second equation:

         8p + 4r = 220

8p + 4(30 - p) = 220

8p + 120 - 4p = 220

                 4p = 220 - 120

                      = 100

                   p = 100/4

                      = 25 boxes of pens

So we can calculate the value of r as well:

r = 30 - p

 = 30 - 25

 = 5 boxes of rubber bands

Thus, it can be concluded that Leona ordered 25 boxes of pens.

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Answer:

\(87.5\ miles\)

Step-by-step explanation:

Step 1:  Determine how far

Rate of speed * total hours

\(\frac{25\ miles}{hour}*3.5\ hours\)

\(87.5\ miles\)

Answer:  \(87.5\ miles\)

The orbit type of the Molniya 1-91 satellite is Molniya orbit, characterized by a highly eccentric orbit inclined at an angle of 63.17 degrees to the Earth's equator. The orbital parameters, namely the semi-major axis (a) and the argument of perigee (ω), are required to determine the satellite's position and velocity vectors.

a) The Molniya 1-91 satellite follows a Molniya orbit, which is a type of highly eccentric orbit designed to provide extended dwell time over high latitudes. This orbit is characterized by a high inclination angle of 63.17 degrees with respect to the Earth's equator. Molniya orbits are commonly used for communication satellites that serve polar regions, as they spend a significant portion of their orbit over these areas.

b) To determine the orbital parameters of the Molniya 1-91 satellite, we need to extract the relevant information from the two-line element set. The semi-major axis (a) is not directly provided in the given data. However, we can calculate it using Kepler's third law and the mean motion (n) derived from the second line of the TLE. The argument of perigee (ω) is given as 281.6462 degrees in the TLE. These parameters, along with other orbital elements, are crucial for describing the satellite's orbit.

c) To calculate the position and velocity vectors of the Molniya 1-91 satellite in the geocentric equatorial coordinate frame, we need additional information. The TLE only provides elements related to the orbit's shape and orientation, not the satellite's current position and velocity. Position and velocity vectors can be determined by solving the equations of motion using the orbital parameters and mathematical models of celestial mechanics. However, without up-to-date information on the satellite's time and date, it is not possible to calculate these vectors accurately.

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Solution :

It is given that four different prizes were awarded. So,

a). 4 ways for person 47 to win a prize

     99 ways to give out the 2nd prize

     98 ways to give the 3rd prize

      97 ways to give the last prize

     ∴  P(99,3) = 99 x 98 x 97

b). 1 way to give person 47 their prize

    1 way to give person 19 their prize

    98 ways to give out the 3rd prize

    97 ways to give out the last prize

    So, P(98,2) = 98 x 97

Here, all we need to do is subtitute w = 2 and x = 2 into the expression, by multiplying and adding. First, we will muliply 9w:

9w

9 · w =

9 · 2 =

18

Now, all we have to do is use our answer for 9w, and subtract x from it:

9w - x

18 - (2) =

18 - 2 =

16

So, our answer is 16.

Let me know if you have any other questions! :)

The fraction of crayons that are blue triangle is 1/5.

The ratio of blue rounds to non-blue crayons is

The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs

A fraction represents a part of a whole.

1. Let's say Alexa had a total of 5x crayons in the bag.

the number of blue crayons in the bag is 2x,

There is one triangle for every two round crayons,

(1/2) × 2x = x (By condition)

So, the fraction of crayons that are blue triangle is x / 5x = 1/5.

The number of blue round crayons is 2x.

The number of non-blue crayons is 5x - 2x = 3x,

The ratio of blue rounds to non-blue crayons is 2x / 3x = 2/3.

2.

4 out of 5 wall footballs are rubber, 4/5 of the footballs in the bag are rubber.

The fraction of rubber footballs that are brown is 2/3.

The fraction of footballs that are brown rubber footballs is (4/5) × (2/3) = 8/15.

The fraction of non-brown rubber footballs is (4/5) - (8/15) = 4/15.

The ratio of rubber footballs to non-rubber footballs is (4/5) / (1/5) = 4.

So there are 4 times as many rubber footballs as non-rubber footballs

Hence,  the fraction of crayons that are blue triangle is 1/5.

The ratio of blue rounds to non-blue crayons is

The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs

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The probability of getting the letter "B" or the letter "H" when the spinner is spun once is 2/8 simplifies to 1/4. B.

The spinner has a total of 8 sections, each with a different letter.

The letters "B" and "H" are two of the possible outcomes.

Since each section is equally likely to be landed on when the spinner is spun, the probability of getting any particular letter is given by the ratio of favorable outcomes to total outcomes.

The favorable outcomes are getting the letter "B" or the letter "H," and there are two of them.

The total number of possible outcomes is 8 since there are 8 letters in total.

There are eight separate portions on the spinner, each bearing a different letter.

Two of the outputs are the letters "B" and "H".

When the spinner is spun, each area has an equal chance of being landed on, hence the likelihood of receiving any specific letter is determined by the ratio of favourable results to total outcomes.

Getting the letter "B" or the letter "H," of which there are two, are the desirable outcomes.

Since there are 8 total letters, there are a total of 8 outcomes.

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