find the root of 5x-2=0
x=?​

1320 different ways are there to select the officers so that only one person holds each office given that the club has 12 people who would like to choose people for the offices of president, a vice president, and a secretary. This can be obtained by using the formula of permutation.

Total number of people in the club = 12

total number of positions = (president, vice president, secretary) = 3

From 12 people 3 people are taken at a time.

That is, using the formula for permutation we get,

ⁿPₓ = \(\frac{n!}{(n-x)!}\)

Here n = 12 and x = 3

P(12,3)= 12!/(12-3)! =12!/9! = 10×11×12 = 1320

Hence 1320 different ways are there to select the officers so that only one person holds each office given that the club has 12 people who would like to choose people for the offices of president, a vice president, and a secretary.

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Answer:

x=-2

Step-by-step explanation:

Given equation:

8^x= 1/64

Ensure both sides of the equation are in power format by changing 1/64

1/64 = 64^-1

8^x = 64^-1

2^3(x) = 2^6(-1)

The bases will cancel out each other

3(x) = 6(-1)

3x = -6

x = -6/3

x = -2

Check

8^x = 1/64

x = -2

8^-2

= 1/8²

= 1/8*8

= 1/64

Answer:

-7

Step-by-step explanation:

You could take out a factor of -7.

-7t²/-7 = t²

-42t/-7 = 6t

-49/-7 = 7

So the GCF is -7.

They are congruent but not similar is true about triangle M and N.

When a triangle is dilated with a scale factor 2, its side lengths are multiplied by 2 and its area is multiplied by 4.

When a triangle is reflected over the x-axis, its orientation is flipped, but its size and shape remain the same.

Since Triangle M is reflected over the x-axis, its orientation is flipped.

Then, it is dilated with a scale factor of 2.

Therefore, Triangle N is similar to Triangle M, but not congruent to it, because its size has been doubled.

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Answer:

-3/5

Step-by-step explanation:

-2/5+-1/5= -3/5

I used a calculator to ensure this answer was correct

Answer: $14.25

Step-by-step explanation:

Plug in 20 for x.

(0.05)(20) + 13.25 = 14.25

Answer:  $14.25

Step-by-step explanation:

just input 20 miles into the equation and solve for the rental cost

c(x) = 0.05x + 13.25  

c(20) = 0.05(20) + 13.25

c(20)=  1 + 13.25

c(20) = 14.25

Answer: Number of students out of 300 who will attend sports class are 200.

Step-by-step explanation:

Let x be no. of students in 300 students who have sports practice;

Mr McGee found that 6 students out of 9 in his class have a sports practice today.

so according to ratio and proportions we have:

6/9=x/300

by cross multiplying 300 on left hand side we have ;

x=200 students

So

number of students out of 300 who will attend sports class are 200.

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Answer:

Step-by-step explanation: Based on the given condition, formulate :

          multiply total students with 6

      6×300 =1800

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The coefficients in the power series representation of the function f(x) = 10xln(1+2x) are c0 = 0, c1 = 10, c2 = -10, c3 = 10, and c4 = -10. The radius of convergence (R) of the series is 1/2.

To find the coefficients of the power series, we can use the formula for the coefficient cn:

cn = (1/n!) * f⁽ⁿ⁾(0),

where f⁽ⁿ⁾(0) denotes the nth derivative of f(x) evaluated at x = 0.

Taking the derivatives of f(x) = 10xln(1+2x), we find:

f'(x) = 10ln(1+2x) + 10x(1/(1+2x))(2) = 10ln(1+2x) + 20x/(1+2x),

f''(x) = 10(1/(1+2x))(2) + 20(1+2x)(-1)/(1+2x)² = 10/(1+2x)² - 40x/(1+2x)²,

f'''(x) = -40/(1+2x)³ + 40(1+2x)(2)/(1+2x)⁴ = -40/(1+2x)³ + 80x/(1+2x)⁴,

f⁽⁴⁾(x) = 120/(1+2x)⁴ - 320x/(1+2x)⁵.

Evaluating these derivatives at x = 0, we get:

f'(0) = 10ln(1) + 20(0)/(1) = 0,

f''(0) = 10/(1)² - 40(0)/(1)² = 10,

f'''(0) = -40/(1)³ + 80(0)/(1)⁴ = -40,

f⁽⁴⁾(0) = 120/(1)⁴ - 320(0)/(1)⁵ = 120.

Therefore, the coefficients are c0 = 0, c1 = 10, c2 = -10, c3 = 10, and c4 = -10.

To determine the radius of convergence (R) of the power series, we can use the ratio test. The formula for the ratio test states that if the limit as n approaches infinity of |cn+1/cn| is L, then the series converges if L < 1 and diverges if L > 1.

In this case, we have:

|cn+1/cn| = |(c⁽ⁿ⁺¹⁾/⁽ⁿ⁺¹⁾!) / (c⁽ⁿ⁾/⁽ⁿ⁾!)| = |(f⁽ⁿ⁺¹⁾(0)/⁽ⁿ⁺¹⁾!) / (f⁽ⁿ⁾(0)/⁽ⁿ⁾!)| = |f⁽ⁿ⁺¹⁾(0)/f⁽ⁿ⁾(0)|.

Evaluating this ratio for n → ∞, we find:

|f⁽ⁿ⁺¹⁾(0)/f⁽ⁿ⁾(0)| = |(120/(1)⁽ⁿ⁺¹⁾ - 320(0)/(1)

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Answer:

See below.

Step-by-step explanation:

Plug in each value for  x .

\(x=3 \Rightarrow 600\cdot 3^3 = 600\cdot 27=16200\\\\x=0\Rightarrow 600\cdot 3^0=600\cdot 1 = 600\\\\x=2\Rightarrow 600 \cdot 3^2=600\cdot 9 =5400\)

Answer:

Plant A is y=2x+6

Step-by-step explanation:

Slope: 2

Y-intercept: 6

Answer:

Step-by-step explanation:

The maximum volume of paint that can be stored in the cylindrical tank occurs when it is completely filled. The formula for the volume of a cylinder is:

V = πr^2h

where V is the volume, r is the radius, and h is the height.

In this case, the height of the cylindrical tank is 8 feet and the radius is 3 feet. So we can substitute these values into the formula to get:

V = π(3^2)(8)

V = π(9)(8)

V = 72π

Therefore, the maximum volume of paint that can be stored in the tank is 72π cubic feet, which is approximately 226.2 cubic feet if we round to one decimal place.

Answer:

63.4°

Step-by-step explanation:

y = 2x - 1

dy/dx = 2

∴ The angle is arc tan(2) = tan^-1(2) = 63.4°

if the number of times you take the test were independent variable of the chance you fail what could that mean the difficulty of the test is consistent and unchanging.

The difficulty of the test is consistent and unchanging, making it so that the chance of failing is solely determined by the individual's performance on the test. Factors such as knowledge of the subject and the ability to focus can play a role in a person's success, but the actual chance of failing is not affected by how many times the test is taken. This means that those who fail the test will have to work harder and prepare better in order to pass it on the next attempt. Taking the test multiple times does not guarantee a higher chance of success, as the difficulty remains the same each time due to independent variable.

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Step-by-step explanation:

Answer:

the answer is angle 4 is congruent to angle 3 and the measure of angle 4 is angle to angle 54, while, the congruent of angle 4 is angle 2 and, the supplement angle of angle 3 is angle 1 and the sum of all is angle 162

Answer:

4x-8

Step-by-step explanation:

For any number x, "eight fewer than four times a number" can be found using the equation 4x-8.

Answer:

I feel you bro

Step-by-step explanation:

In this case, the frequency of Maggie spending 9 hours in the office is 2, and the total frequency is the sum of all the frequencies, which is 3 + 1 + 4 + 2 = 10.

Therefore, the experimental probability is 2/10, which simplifies to 1/5.

Answer:all students in the social studies club

Answer:

I dont know the answer to this but I was putting this here to tell you how much of a good person you are.  I was taking the ming china cause and effect chart and I didnt know the answer and your answer on that helped me alot and thank you very much you helped my grade to go from a b to an a thank you you are one of the kindest people I know.  Thank you :)

Step-by-step explanation:

Answer: x = 0.1 and x = 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

39C7 or 15380937

Step-by-step explanation:

There are 13 clubs in a 52 card deck. We can remove these from the possibilities. 52-13=39. The rest is simple, choose 7 from 39 using the choose function is 39!/(32!*7!)=15380937. Or just say 39C7 as your answer.

Answer:

8 in.

Step-by-step explanation:

Perimeter of a rectangle, P = 2(L + W)

Value of P = 46.

Length is 7 inches less than the width.  This translates to L = W - 7

Substitute L = W - 7 into the perimeter equation, you get

46 = 2(W - 7 + W)

46 = 2(2W - 7)

46 = 4W - 14

4W = 60

W = 60 / 4 = 15 in

L = W - 7 = 15 - 7 = 8 in

The width and length of the rectangle in inches are 17 and 10 respectively.

Perimeter is the sum of the lengths of all the sides of a given plane figure.

According to the given question the length of a rectangle is 7 inches less than its width.

Assuming the width of the rectangle is x inches.

∴ From the given data length of the rectangle is ( x - 7) inches.

Given perimeter is 54 inches.

We know perimeter of a rectangle is 2( length + breadth).

∴ 2{ x + ( x - 7) } = 54.

  2 { 2x - 7 } = 54

  4x - 14 = 54

  4x = 54 + 14

  4x = 68

    x = 17.

So, the width of the rectangle is 17 inches and length of the rectangle is (17 - 7) inches which is 10 inches.

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The expected number of wins for the upcoming month is approximately 4.4328.

What is probability?

Probability is a concept in mathematics and statistics that quantifies the likelihood or chance of an event occurring. It is a measure of uncertainty or the degree of belief in the occurrence of an event.

To find the expected number of wins for the upcoming month, we can multiply the probability of winning a single game by the total number of games in the month.

Given that the probability of winning a single game is 0.3694, and there are 12 games in the upcoming month, the expected number of wins can be calculated as follows:

Expected number of wins = Probability of winning a single game * Total number of games

Expected number of wins = 0.3694 * 12

Expected number of wins = 4.4328

Therefore, the expected number of wins for the upcoming month is approximately 4.4328.

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A standard normal distribution is a normal distribution with a mean of zero and a standard deviation of one. Option A is the correct answer.

The standard normal distribution, often known as the z-distribution, is a special sort of ordinary distribution with a mean of zero and a standard deviation of one. Option A is the correct answer.

Any normal distribution can be standardized through transforming its values into z scores. The Z scores indicate how many standard deviations a certain result is from the mean. All normal distributions are unimodal, symmetrically distributed, and have a bell-shaped curve. One such distribution is the common normal distribution. On the other hand, a normal distribution's mean and standard deviation can be any value. In the typical normal distribution, the mean and standard deviation remain constant.

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A standard normal distribution is a normal distribution with a mean of zero and a standard deviation of one.

A standard normal distribution, also known as the Z-distribution, is a specific type of normal distribution. It has a mean of zero and a standard deviation of one. The Z-distribution is often used in statistics to standardize data and calculate probabilities.

The standard normal distribution is represented by a bell-shaped curve that is symmetric around the mean of zero. The area under the curve represents the probability of a random variable falling within a certain range.

The Z-score, which measures the number of standard deviations a data point is from the mean, is commonly used in hypothesis testing and confidence interval calculations.

The standard normal distribution is widely used in various fields, including finance, psychology, and quality control.

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Answer:

 =  − 1 3 1

Step-by-step explanation:

No real solutions because the discriminant is negative

The square root of a negative number is not a real number

Answer:

The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.

Step-by-step explanation:

Answer:

16

..............................................................

Answer:

8a+32

Step-by-step explanation:

8(a+4)= 8a+32

Hope helps :D

Answer: 8a+32.

Step-by-step explanation:

This sample would be considered A. Cluster sample. In a cluster sample, the researcher divides the population into groups or clusters, and then randomly selects some of these clusters to include in the sample.

In this case, the researcher is selecting nine counties as the clusters, and surveying all shoulder surgery patients within those counties. This is different from a stratified sample, in which the population is divided into subgroups or strata based on certain characteristics, and a representative sample is selected from each stratum. It is also different from a convenience sample, in which the researcher simply selects the individuals who are easiest to reach or who happen to be available at the time of the study. And it is different from a simple random sample, in which every member of the population has an equal chance of being selected for the sample.

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The probability that the student is from other majors is 0.40, the probability that the student majors only math is 0.13, and the probability that the student does not major engineering is 0.73.

a) Probability of a student being from other majors = (150-90) / 150 = 0.40

b) Probability of a student majoring only math = (30 - 20) / 150 = 0.13

c) Probability of a student not majoring engineering = (150 - 40 - 20) / 150 = 0.73

Probability = Number of Favorable Outcomes / Total Number of Outcomes

For part a)

Number of Favorable Outcomes = 150-90 = 60

Total Number of Outcomes = 150

Therefore, Probability = 60 / 150 = 0.40

For part b)

Number of Favorable Outcomes = 30-20 = 10

Total Number of Outcomes = 150

Therefore, Probability = 10 / 150 = 0.13

For part c)

Number of Favorable Outcomes = 150-40-20 = 90

Total Number of Outcomes = 150

Therefore, Probability = 90 / 150 = 0.73

The probability that the student is from other majors is 0.40, the probability that the student majors only math is 0.13, and the probability that the student does not major engineering is 0.73.

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