Which of the following expressions is equal to 3 to the fifth power times 3 to the second power

Answer:

1400 cm/ 2.54 cm per inch = 551 inches. Step-by-step explanation: There are 39.3701 inches in 1 meter, so all you have to do is multiply. :) 551 inches.Step-by-step explanation:

Answer:

answer is i think is 0

Step-by-step explanation:

23-23=0

Step-by-step explanation:

the radius cuts the segment into two equal parts because it is perpendicular to the chord

Answer:

Step-by-step explanation:

As O is the mid point of the circle

Similarly, B also becomes the mid point of the line AC.

So, line OB divides AB and BC equally.

Hence, lines AB = AC, but they are asking to prove congruency of triangles.

So, u have to join OA and OC.

Same way,   line OB divides ∠OBA and ∠OBC.

So it is proved that AB = AC

Answer:

I also need the same help :(((

Step-by-step explanation:

1. The percentage of the players who finished the walk in less than 2 hours  will be  2.28%

2. The probability that two randomly chosen players completed the walk in 2.9 hours or more was 15.87%

3. The probability that four randomly chosen players completed the walk was between 1.7 and 2.9 hours  84%

4. The number of participants who complete the walk in more than 3.5 hours, given that there are 1,200 participants 0

5. if the number of participants increased, the probability would increase while if they decreased, the probability would decrease

The z score is a measure used in probability to determine the number of standard deviations the raw score is above or below the mean, it is given by the equation:

\(Z=\dfrac{x-\mu}{\sigma}\)

Given that:

the mean μ = 2.6 hours and a standard deviation(σ) of 0.3 hours.

\(Z=\dfrac{x-\mu}{\sigma}\)

1) What percent of the players finished the walk in less than 2 hours.

To calculate this, we use x as 2 hours and then find the z score.

\(Z=\dfrac{x-\mu}{\sigma}=\dfrac{2-2.6}{0.3}=-2\)

From the normal probability distribution table, P(x < 2) = P(z < -2) = 0.0228 = 2.28%

2)  What is the probability that two randomly chosen players completed the walk in 2.9 hours or more

To calculate this, we use x as 2.9 hours and then find the z score.

\(Z=\dfrac{x-\mu}{\sigma}=\dfrac{2.9-2.6}{0.3}=1\)

From the normal probability distribution table, P(x > 2.9) = P(z > 1) = 1-P(z<1) = 1 - 0.8413 = 0.1587

3. What is the probability that four randomly chosen players completed the walk between 1.7 and 2.9 hours

To calculate this, we first use x as 1.7 hours and then find the z score.

\(Z=\dfrac{x-\mu}{\sigma}=\dfrac{1.7-2.6}{0.3}=-3\)

For x as 2.9 hours and then find the z score.

\(Z=\dfrac{x-\mu}{\sigma}=\dfrac{2.9-2.6}{0.3}=1\)

From the normal probability distribution table, P(1.7 < x < 2.9) = P(-3 < z < 1) = P(z<1) - P(z < -3) = 0.8413 - 0.0013 = 0.84

4. What observations can you make about the number of participants who complete the walk in more than 3.5 hours, given that there are 1,200 participants?

To calculate this, we use x as 3.5 hours, a number of samples (n) = 1200, and then find the z score.

\(Z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}=\dfrac{3.5-2.6}{\dfrac{0.3}{\sqrt{1200}}}=104\)

From the normal probability distribution table, P(x > 3.5) = P(z > 104) = 1-P(z<104) = 1 - 1 = 0

5. What might you observe if the number of participants increased or decreased?

if the number of participants increased, the probability would increase while if they decreased, the probability would decrease

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A bar graph is used to represent categorical data, while a histogram is used to represent continuous data.

The appropriate graph for the frequency distribution of a group of patients in a weight loss program that ranges from 185 to 312 pounds would be a histogram. This is because a histogram is a graphical representation of a frequency distribution. It is used to represent the distribution of a set of continuous data. A histogram is a graph that shows the number of times that each value appears in a set of data by grouping the data into classes of equal size. The number of values that fall within each class is represented by the height of a bar on the graph. The area of each bar is proportional to the frequency of the class.The six age groups will be grouped into classes that have the same size interval. The number of patients that fall within each class interval will be represented on the vertical axis, while the class intervals will be represented on the horizontal axis. The bars of the histogram will be plotted at the midpoints of each class interval. The height of each bar will represent the frequency of the class interval. It is important to note that a histogram is not the same as a bar graph.

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Answer:

20x⁴ - 13x³+ 8x² - x + 6

Step-by-step explanation:

Multiplyin gbthebtop trinomial by the last term. Of the bottom trinomial.

___4x² - 5x + 3

___5x² + 3x + 2

* ____________

_________8x² - 10x + 6

______12x³-15x²+9x

_20x⁴-25x³+15x²

____________________

20x⁴ - 13x³+ 8x² - x + 6

___________________

Since point P(-3, 1) is rotated 270° and then reflected across y = x, the value of point P′′ is equal to (-3, -1).

A rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

In Geometry, rotating a point 270° about the origin in a clockwise or direction would produce a point that has the coordinates (-y, x).

By applying a rotation of 270° clockwise to point P, the location of P" is given by:

(x, y)   →   (-y, x)

Point P at (-3, 1)   →   (-y, x) = Point at P" = (-1, -3)

Next, we would reflect point P" across y = x to have:

(x, y)   →   (y, x)

Point at P" = (-1, -3)  →  Point at P" = (-3, -1).

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To estimate the error when using the trapezoid rule with n = 6 to calculate the integral of cos(2x) from 0 to 3, we'll need to find the maximum value of the second derivative of the function in the given interval and apply the error formula for the trapezoid rule. Hence, the correct option is (e).

Follow the following steps:

Step 1: Find the second derivative of cos(2x)
First derivative: -2sin(2x)
Second derivative: -4cos(2x)

Step 2: Find the maximum value of the second derivative in the interval [0, 3]
Since cos(2x) ranges from -1 to 1, the maximum value of -4cos(2x) is 4.

Step 3: Apply the error formula for the trapezoid rule
The error formula is |error| = (b - a)³ * M / (12n²)
Where a = 0, b = 3, M = 4 (maximum value of the second derivative), and n = 6.

|error| = (3 - 0)³ * 4 / (12 * 6²)
|error| = 27 * 4 / (12 * 36)
|error| = 108 / 432
|error| = 0.25

So, the estimate of the error when using the trapezoid rule with n = 6 to calculate the integral of cos(2x) from 0 to 3 is 0.25 . Hence, correct answer is (option e).

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The unit rate of change of the proportional relationship is given as follows:

2.25.

The graph of the proportional relationship is given by the image presented at the end of the answer.

A proportional relationship is a linear function with an intercept of zero modeled as follows:

y = kx.

In which k is the constant of proportionality.

The input and output variables for this problem are given as follows:

The constant k, representing the unit rate, is obtained by the division of the output of the input from the table, hence:

k = 4.5/2 = 6.73/3 = 9/4 = 2.25.

Meaning that the function is defined as follows:

y = 2.25x.

The function is graphed for a domain of x ≥ 0, as the number of cups of sugar must be a countable, non-negative amount.

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The center of the circle is at the point (-5,11) and has the radius of 3 units.

The equation of the circle will be,

You subtract the lowest point from the highest point.

Lowest Point = 6 because the lowest y value the graph reaches is 6

Highest point is 12

12 - 6 = 6.

This is the positive difference in feet (because the graph already states on the left column that the values are depth in feet) between the greatest water depth and least water depth in the graph.

Answer:

76 degrees

Step-by-step explanation:

Let the angles be x, y and z

As per given:

Considering the first 2 equations in the third one:

So the third angle is:

The mean (μ) for the given binomial distribution is 0.50.

To calculate the mean (μ) of a binomial distribution, we multiply the number of trials (n) by the probability of success in a single trial (π). Let's examine each scenario in detail:

a. When n = 5 and π = 0.10:

μ = 5 * 0.10

  = 0.50

For this binomial distribution, with 5 trials and a success probability of 0.10, the mean (μ) is 0.50. This means that, on average, we would expect to have 0.50 successes per trial.

b. When n = 3 and π = 0.40:

μ = 3 * 0.40

  = 1.20

In this case, the mean (μ) of the binomial distribution is 1.20. It indicates that, on average, there would be 1.20 successes per trial when there are 3 trials and a success probability of 0.40.

c. When n = 5 and π = 0.50:

μ = 5 * 0.50

  = 2.50

For a binomial distribution with 5 trials and a success probability of 0.50, the mean (μ) is 2.50. This means that, on average, we would expect to have 2.50 successes per trial.

d. When n = 3 and π = 0.80:

μ = 3 * 0.80

  = 2.40

In this scenario, the mean (μ) of the binomial distribution is 2.40. It suggests that, on average, we would expect to have 2.40 successes per trial when there are 3 trials and a success probability of 0.80.

The mean (μ) provides a measure of the central tendency or the average number of successes in a binomial distribution based on the given parameters.

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1) Let's sketch this out to better grasp it.

A) Right Angle. A right angle is a 90º angle so we have the following possibilities:

Note that a whole circle has 360º and from point 1 to 2 we have 30º since:

So we for the Right Angles on the clock:

3:00, 9:00 and 9:30

B) Obtuse angle

An obtuse angle is an angle whose measure is greater than 90º.

it would be 1oclock the next day

Answer:

-28

___________________

The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:

3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

.22222 or \(\frac{2}{9}\)

Step-by-step explanation:

\(2(\frac{1}{3^{2} })\\\\2(\frac{1}{9})\\\\= .22222 \\\) or  \(\frac{2}{9}\)

Answer:

\(-\frac{43}{70}\)

Step-by-step explanation:

One is given the following equation,

\(\frac{2}{3}*\frac{-3}{7}-\frac{1}{14}-\frac{3}{7}*\frac{3}{5}\)

Simplify, use the order of operations. The order of operations is a sequence by which one must simplify an equation. This sequence is the following,

1. Parehtensis

2. Exponents

3. Mutliplcaiton or Division

4. Addition or subtraction

Simplify the given expression. Remember, when multiplying fractions, one must cancel out like terms or factors that can be found in both the numerator and denominator,

\(\frac{2}{3}*\frac{-3}{7}-\frac{1}{14}-\frac{3}{7}*\frac{3}{5}\)

\(\frac{-2}{7}-\frac{1}{14}-\frac{3}{7}*\frac{3}{5}\)

\(\frac{-2}{7}-\frac{1}{14}-\frac{9}{35}\)

Convert to the least common denominator. In this case, the least common denominator is (70). Remember to multiply both the numerator (number over the fraction bar) and denominator (number beneath the fraction bar) to convert the denominator.

\(\frac{-2}{7}-\frac{1}{14}-\frac{9}{35}\)

\(\frac{-2}{7}*\frac{10}{10}-\frac{1}{14}*\frac{5}{5}-\frac{9}{35}*\frac{2}{2}\)

Simplify,

\(\frac{-2}{7}*\frac{10}{10}-\frac{1}{14}*\frac{5}{5}-\frac{9}{35}*\frac{2}{2}\)

\(\frac{-20}{70}-\frac{5}{70}-\frac{18}{70}\)

\(-\frac{25}{70}-\frac{18}{70}\)

\(-\frac{43}{70}\)

Answer:

13.9mm

Step-by-step explanation:

short story, pythagorean theorem a²+b²=c²

a=13.5

b=3.2

c=?

13.5² = 182.25

3.2² = 10.24

c² = 192.49

c = 13.8740765458

round to 1 decimal place c = 13.9

The fourth vertex's coordinates are as follows: ( 2.1, -3.6)

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

So, let the missing coordinates be (a,b).

Let's now utilize the midpoint formula to locate the erroneous coordinate.

Let the reference point be (-2.3, 3.6) A.

Let point B be (2.3, 2.2).

(2.1, 2.2) Let C be the point.

The center of AC should be at BD.

Step 1: Locating the AC's midpoint

Middle pint of AC:

(-2.3 + 2.1/2), (-3.6 + 2.2/2)

(0.2/2), (1.4/2)

(-0.1, -0.7)

Let's equate the midpoints in step two.

The BD mid-point:

(a + -2.3/2), (b + 2.2/2) =  (-0.1, -0.7)

(a + -2.3/2) = -0.1

(a -2.3/2) = -0.1*2

a = -0.2+2.3

a = 2.1

(b + 2.2/2) = -0.7

b + 2.2 = -0.7*2

b + 2.2 = -1.4

b = -1.4 -2.2

b = -3.6

Therefore, the fourth vertex's coordinates are as follows: ( 2.1, -3.6)

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Complete question:

Freddy drew a plan for a rectangular piece of material that hehe will use for a blanket. Three of the vertices are ​( -2.3 and −3.6​), ​(−2.3​, and 2.2​), and ​(2.1​, and 2.2​). What are the coordinates of the fourth​ vertex?

When the eigenvalues of a matrix are equal, it means that the matrix has repeated eigenvalues. This can occur for matrices of any size, but is most commonly encountered for 2x2 or 3x3 matrices.

When a matrix has repeated eigenvalues, it can exhibit some special behaviors that are not observed for matrices with distinct eigenvalues. In particular, the matrix may not be diagonalizable, meaning that it cannot be transformed into a diagonal matrix using a change of basis. Instead, it may have only one eigenvector associated with the repeated eigenvalue, or it may have a full set of linearly independent generalized eigenvectors.

In the case of a 2x2 matrix A with repeated eigenvalues λ, the matrix may be expressed in Jordan canonical form as:

A = P * J * P^-1

where J is a matrix with λ on the diagonal and 1 on the super-diagonal, and P is the matrix whose columns are the eigenvectors and generalized eigenvectors of A. In this case, the solutions of the system x' = Ax may have a non-trivial component along the generalized eigenvector, which can lead to more complicated behavior than for matrices with distinct eigenvalues.

Overall, the presence of repeated eigenvalues in a matrix can indicate that the matrix has some special structure or symmetry, and may require additional techniques beyond diagonalization to fully understand its behavior.

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CIRCUMFERENCE OF A CIRCLE : 2πr

2×3.142×7.5

47.13 cm

Answer:

You could use a stencil (e.g a glue sitck or coin).

Step-by-step explanation:

Answer:

Use anything else that has a flat circular surface, or this neat paper trick.

Step-by-step explanation:

Answer:

she bought 5 cards, which equals to $54

and then she bought 1 card

Step-by-step explanation:

Answer:

Six Tenths in numerical form is 6/10, and "translated" into a decimal it would be 0.6

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a) After computation, the variable Q = 8P = (8, 15).

b) The decrypted ciphertext is: ((4, 11), (14, 1), (12, 16), (3, 1))

c) The decrypted string of ciphertext corresponds to the English word "DELIM."

A decrypted string refers tο a piece οf text that has been cοnverted frοm its encrypted οr encοded fοrm back tο its οriginal, readable fοrm. Encryptiοn is the prοcess οf cοnverting data intο a secret cοde οr cipher tο secure it frοm unauthοrized access. Decryptiοn is the reverse prοcess οf cοnverting the encrypted data back intο its οriginal fοrm using a specific decryptiοn algοrithm οr key. The decrypted string represents the οriginal, unencrypted text that was previοusly encοded οr encrypted.

To solve the given problem, we'll perform the calculations step by step:

(a) Compute Q = mP:

Given that m = 8 and P = (2, 9), we need to compute Q = 8P.

Performing the scalar multiplication:

1P = (2, 9)

2P = (10, 2)

3P = (28, 6)

4P = (15, 8)

5P = (3, 3)

6P = (0, 10)

7P = (6, 24)

8P = (8, 15)

Therefore, Q = 8P = (8, 15).

(b) Decrypt the following string of ciphertext:

We're given the following ciphertext pairs: ((18, 1), 21), ((3, 1), 18), ((17, 0), 19), ((28, 0), 8).

To decrypt the ciphertext, we need to compute the scalar multiplication of the first element of each pair with the private key m = 8.

Decrypting the ciphertext:

((18, 1), 21) -> 21 * 8P

((3, 1), 18) -> 18 * 8P

((17, 0), 19) -> 19 * 8P

((28, 0), 8) -> 8 * 8P

Performing the scalar multiplications:

21 * 8P = 21 * (8, 15) = (4, 11)

18 * 8P = 18 * (8, 15) = (14, 1)

19 * 8P = 19 * (8, 15) = (12, 16)

8 * 8P = 8 * (8, 15) = (3, 1)

The decrypted ciphertext is:

((4, 11), (14, 1), (12, 16), (3, 1))

(c) Converting the decrypted plaintext into an English word:

Using the correspondence A ↔ 1, B ↔ 2, ..., Z ↔ 26, we can convert the plaintext coordinates to letters.

Decrypted plaintext:

((4, 11), (14, 1), (12, 16), (3, 1))

Converting to letters:

(4, 11) -> DE

(14, 1) -> NO

(12, 16) -> LM

(3, 1) -> CD

The decrypted word is "DELIM."

Therefore, the decrypted string of ciphertext corresponds to the English word "DELIM."

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Hi king,

Let's split it into two prisms.

\(V_{1}=5cm*10cm*3cm\\V_{1} =150cm^{3}\)

\(V_{2}=5cm*10cm*(9cm-5cm)\\V_{2}=5cm*10cm*4cm\\V_{2} =200cm^{3}\)

The prism in the picture:

\(V_{final}=150cm^{3} +200cm^{3} \\V_{final}=350cm^{3}\)

Have a good day.