help please, solve for x

The volume of the solid is found by rotating the region around the line x = 9.The volume is calculated by multiplying the area of the region by the length of the cylinder,\(2π(3)^2(6)\). Therefore, the volume of the solid is 108π cubic units.

Step 1: Find the area of the region enclosed by the given equations.

The area of the region can be calculated using the integral:

A = ∫3 0\(\sqrt{x}\)dx

Step 2: Calculate the circumference of the cylinder.

The circumference is calculated by multiplying the radius of the cylinder (3) with 2π.

C = 2π(3)

Step 3: Calculate the volume of the cylinder.

The volume is calculated by multiplying the area of the region by the length of the cylinder (6):

V = A x C = 108π cubic units

The volume of the solid is found by rotating the region around the line x = 9, forming a right circular cylinder. The volume is calculated by multiplying the area of the region by the length of the cylinder, 2π\((3)^2(6)\). The area of the region can be calculated using the integral: A = ∫3 0 \(\sqrt{x}\))dx. The circumference is calculated by multiplying the radius of the cylinder (3) with 2π. Finally, the volume is calculated by multiplying the area of the region by the length of the cylinder (6): V = A x C = 108π cubic units.

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To guarantee having at least 3 animals of the same type, you would need to adopt a total of 5 animals.

In the worst-case scenario, you would first adopt 2 cats and 2 dogs. By adopting a 5th animal, you would then have at least 3 animals of the same type, either 3 cats and 2 dogs, or 3 dogs and 2 cats. This is due to the Pigeonhole Principle, which states that if you have n categories and n+1 items, at least one category will contain more than one item.

In order to guarantee having at least 3 cats, you would need to adopt a total of 13 animals. This is because, in the worst-case scenario, you could first adopt all 10 dogs, followed by 3 cats. After adopting 13 animals, you would be certain to have at least 3 cats, as you would have exhausted the entire population of dogs in the shelter.

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Therefore, the predicted population of Alaska in 2040 is approximately 1,038,428.

Given by the question.

P₀ = 410,851

P = 739,818

t = 2017 - 1980 = 37

r = ln (739818/410851) / 37

r ≈ 0.0136

Therefore, the equation that models the population of Alaska t years after 1980 is:

P(t) = 410,851 * \(e^{(0.0136*t)}\)

To predict the population of Alaska in 2040, we need to find the value of P (60), since 2040 is 60 years after 1980:

P (60) = 410,851 * \(e^{(0.0136*60)}\)

P (60) ≈ 1,038,428

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To find the derivatives of the given expressions, we can apply the chain rule, which states that the derivative of a composition of functions is equal to the derivative of the outer function multiplied by the derivative of the inner function.

(a) To find the derivative of f(g(x)), we start by differentiating the outer function f with respect to the inner function g(x), and then multiply it by the derivative of the inner function g(x) with respect to x.

df/dx = df/dg * dg/dx

df/dx = cos(g(x)) * (2x)

(b) To find the derivative of g(f(x)), we differentiate the outer function g with respect to the inner function f(x), and then multiply it by the derivative of the inner function f(x) with respect to x.

dg/dx = dg/df * df/dx

dg/dx = 2f(x) * cos(x)

Hence, the derivatives are:

(a) d/dx(f(g(x))) = cos(g(x)) * (2x)

(b) d/dx(g(f(x))) = 2f(x) * cos(x)

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Answer:

yes thats correct

Step-by-step explanation:

Answer:

14.79

Step-by-step explanation:

Take the price of the dishes and multiply by the tax rate

232 * 6 3/8%

Change to decimal form

232 * .06375

14.79

The tax is 14.79

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

Steps 4 and 5 describe the errors Stephen made.

Stephen evaluated \((6.34\times 10^{-7})(4.5\times 10^3)\).  

His work is shown below.

Step 1 - \((6.34\times 10^{-7})(4.5\times 10^3)\)

Step 2 - \(=(6.34\times 4.5)(10^{-7} \times 10^3)\)

Step 3 - \(=(28.53)(10^{-4})\)

Step 4 - \(20.53\times 10^4\)

Error is the step as 4 sign is negative.

So correct step is \(=(28.53)(10^{-4})\)

Step 5 - \(=(28.53)(10^{-4})\)

Error is the step as there are 4 in place of 3.

So correct step is \(=(28.53)(10^{-4})\)

Steps 4 and 5 describe the errors Stephen made.

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Answer:

50400m

Step-by-step explanation:

t=1hour=60×60×60=3600

d=s×t

=14×3600

=50400m

Answer:

5P= 2P+21+45 ( sum of two sides is is equal to

the opposite exterior angle)

5P=2P +61

5P-2P=61

3P=61

p= 61÷3

p=2.33333

Answer:

p=22

Step-by-step explanation:

idek how i got this answer but i think its right.

Answer:

x = 2

Step-by-step explanation:

A = lw

44 = 4(3x+5)

44 = 12x + 20

24 = 12x

x = 2

The equation that represents h(x) is h(x) = (f(x))(g(x)).

To determine which equation represents h(x), we need to analyze the given table and understand the relationship between the functions f(x), g(x), and h(x).

Since h(x) represents the output values obtained by multiplying f(x) and g(x), we should look for values in the table where h(x) is the product of the corresponding values of f(x) and g(x).

Let's examine the table and compare the values:

x | f(x) | g(x) | h(x)

1 | 3 | 4 | 12

2 | 5 | 2 | 10

3 | 2 | 6 | 12

From the table, we can see that the values in the h(x) column are the products of the corresponding values in the f(x) and g(x) columns. Therefore, the equation that represents h(x) is h(x) = (f(x))(g(x)).

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Answer:

It's B.

Step-by-step explanation:

Edge 2020.

The mean, median, and sample variance of the given dataset are:Mean = 23.17Median = 21Sample variance = 173.5592

(a) Mean The mean (or average) of a dataset is calculated by summing up all the values and dividing by the total number of values.

The formula for calculating the mean is: `mean = (sum of values) / (total number of values)`For the given dataset, we have:20, 50, 22, 14, 23, 10

Sum of values = 20 + 50 + 22 + 14 + 23 + 10 = 139

Total number of values = 6Therefore, the mean is given by: `mean = 139 / 6 = 23.17`Answer: 23.17 (rounded to two decimal places)

(b) Median To find the median, we need to arrange the dataset in increasing order:10, 14, 20, 22, 23, 50The median is the middle value of the dataset. If there are an odd number of values, the median is the middle value. If there are an even number of values, the median is the average of the two middle values. Here, we have 6 values, so the median is the average of the two middle values: `median = (20 + 22) / 2 = 21` Answer: 21(e)

Sample variance s²The sample variance is calculated by finding the mean of the squared differences between each value and the mean of the dataset.

The formula for calculating the sample variance is: `s² = ∑(x - mean)² / (n - 1)`where `∑` means "sum of", `x` is each individual value in the dataset, `mean` is the mean of the dataset, and `n` is the total number of values.For the given dataset, we have already calculated the mean to be 23.17.

Now, we need to calculate the squared differences between each value and the mean:

20 - 23.17 = -3.1722 - 23.17

= -1.170 - 23.17

= -13 - 23.17

= -9.1723 - 23.17

= -0.1710 - 23.17

= -13.17

The sum of the squared differences is given by:

∑(x - mean)² = (-3.17)² + (-1.17)² + (-13.17)² + (-9.17)² + (-0.17)² + (-13.17)²

= 867.7959

Therefore, the sample variance is given by: `s² = 867.7959 / (6 - 1) = 173.5592`Answer: 173.5592 (rounded to four decimal places)

The mean, median, and sample variance of the given dataset are:Mean = 23.17Median = 21Sample variance = 173.5592

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Answer:

m = 2

Step-by-step explanation:

It is correct, trust me. I am a whiz at Slope.

Brainliest Please!!??

The slope within two sets of points is calculated using the slope equation \(m = \frac{y_2 -y_1}{x_2 -x_1}\)

The slope of a line or points is the rate of change of the line.

This in other words means that, the vertical change per unit horizontal change

Assume that the points are given as:

(x1, y1) and (x2, y2)

The slope (m) of the points is:

\(m = \frac{y_2 -y_1}{x_2 -x_1}\)

Hence, the equation of two sets of points is \(m = \frac{y_2 -y_1}{x_2 -x_1}\)

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The value of the expression log₃54 is 3.6.

Given that the expression is log₃54.

We are required to find the value of the expression by using the change of base formula.

The change of base formula is the formula that will give us the answer of a log with a different base by using only log calculations with a base of 10.

The expression is log₃54.

log₃54= log (54)/log (3)          

(We know that \(log_{a}b\)=log b/ log a)

Now we have to use the values of logarithms in the above expression to find its value.

=1.73/0.48

=3.6

Hence the value of the expression log₃54 is 3.6.

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Answer:

yes

Step-by-step explanation:

Part A- The measures of center of  side school mean and median is 4.4 and 4.5. The measures of center of seaside school mean and median is 5.75 and 5.5.

Part B - The measures of variability of side school rang and interquartile is 8 and 4.  The measures of variability of seaside school rang and interquartile is 9 and 2.

Part C- The median class size at Seaside School (5.5) is smaller than the median class size at Bay Side School (4.5).

Part A:

To find the measures of center for each school, we need to calculate the mean and median of each set of data.

Bay Side School:

Mean = (8+6+5+8+6+5+4+2+0+5+3+2+0+0+3)/15 = 4.4

Median = (4+5)/2 = 4.5

Seaside School:

Mean = (5+8+10+1+2+5+6+8+5+5+7+7)/12 = 5.75

Median = (5+6)/2 = 5.5

Part B:

To find the measures of variability for each school, we need to calculate the range and interquartile range (IQR) of each set of data.

Bay Side School:

Range = largest value - smallest value = 8-0 = 8

IQR = Q3 - Q1 = 6-2 = 4

Seaside School:

Range = largest value - smallest value = 10-1 = 9

IQR = Q3 - Q1 = 7-5 = 2

Part C:

The better option would be Seaside School if you're looking for smaller class sizes. The median class size at Seaside School (5.5) is smaller than the median class size at Bay Side School (4.5). Additionally, the range and IQR of class sizes are smaller at Seaside School, indicating that the class sizes are more consistent and less variable.

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The table has a greater rate of change.

The rates of change are equal.

In the given problem, we have a table showing the relationship between x and y values. By comparing the change in y with the change in x, we can determine the rate of change. Looking at the table, we observe that for every increase of 1 in x, there is a corresponding increase of 1 in y. Therefore, the rate of change for this table is 1.

The slopes are equal.

The equation has a greater slope.

In problem 2, we are given a linear equation in the form y = mx + b, where m represents the slope. The given equation is y = 2x + 7, which means the slope is 2. To compare the rates of change, we compare the slopes. If the slopes are equal, the rates of change are equal. In this case, the slopes are equal to 2, so the rates of change are the same.

The function rule has a greater slope.

The slopes are equal.

In problem 3, we are told that as x increases by 1, y increases by 3. This information gives us the rate of change between x and y. The slope of a function represents the rate of change, and in this case, the slope is 3. Comparing the slopes, we find that they are equal, as both have a value of 3. Therefore, the rates of change are the same.

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Researchers conducted a study and obtained  the p-value is 0.30, which is higher than the common significance level of 0.05. This means that there is not enough evidence to reject the null hypothesis, but it does not mean that the null hypothesis is accepted.

Hence this statement is false.

When researchers conduct a study and obtain a p-value, they use it to make a decision regarding the null hypothesis.

However, a high p-value does not provide evidence to accept the null hypothesis.

Instead, it indicates that there is not enough evidence to reject the null hypothesis.
1. Researchers start with a null hypothesis (H0), which is a statement that there is no effect or relationship between variables being studied.

They also have an alternative hypothesis (H1), which is a statement that there is an effect or relationship between variables.
2. They collect data and perform statistical tests to calculate the p-value, which represents the probability of observing the test results (or more extreme results) assuming the null hypothesis is true.
3. The p-value is then compared to a pre-determined significance level (alpha), commonly set at 0.05 or 5%.

If the p-value is less than the significance level, researchers reject the null hypothesis in favor of the alternative hypothesis.
4. In this case, the p-value is 0.30, which is higher than the common significance level of 0.05.

This means that there is not enough evidence to reject the null hypothesis, but it does not mean that the null hypothesis is accepted.
5. Instead, researchers should say that they "fail to reject" the null hypothesis, meaning they cannot confidently conclude that the alternative hypothesis is true based on the data and analysis.

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Answer:

I think 2 points

Step-by-step explanation:

I may be wrong bc I suck at algebra. literally who is gonna use algebra ever?

Answer: two points hope it helps

Answer:

(2u-7)(2u+3)

Step-by-step explanation

The given points (a) lies on the line, (b) does NOT lie on the line, and (c) lies on the line.

A point lies on a line if and only if it can be written as the sum of a scalar multiple of a direction vector and a position vector of the line.

To determine if each point lies on the line defined by X = -5 + t, y = 6t, and z = 6+ t, we can substitute each point into this equation to see if it is equivalent.

(a) (0, 30, 11):

-5 + t = 0, so t = 5

y = 6t = 6 × 5 = 30

z = 6 + t = 6 + 5 = 11

So, (0, 30, 11) can be written as -5 + 5i + 6 × 5j + 6k = -5i + 30j + 11k, which lies on the line.

(b) (5, 6, 11):

-5 + t = 5, so t = 10

y = 6t = 6 × 10 = 60

z = 6 + t = 6 + 10 = 16

So, (5, 6, 11) does NOT lie on the line.

(c) (-7, -12, 4):

-5 + t = -7, so t = -2

y = 6t = 6 × -2 = -12

z = 6 + t = 6 + -2 = 4

So, (-7, -12, 4) can be composed as -5 - 2i + -12j + 4k = -7i - 12j + 4k, which lies on the line.

Therefore, (a) lies on the line, (b) does NOT lie on the line, and (c) lies on the line.

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--The given question is incomplete; the complete question is

"Determine whether each point lies on the line.

X = -5 + t, y = 6t, z = 6+ t                                                                                                          (a) (0, 30, 11)                                                                                                                                (b) (5, 6, 11)                                                                                                                                          (c) (-7, -12, 4)"--

The given case is an example of "invalid inference due to a small sample size."

In this case, the analysis is focused on explaining the number of Equinor shares traded per day in the stock market in 2020. However, the independent variable chosen is the closing price of the share. Since only one independent variable is considered, it limits the scope of the analysis and the ability to draw valid inferences. The issue lies in the small sample size, which refers to the limited number of variables and observations being analyzed. To make more robust and reliable inferences, it is advisable to consider multiple variables or analyze a larger sample of stocks or companies.

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Answer:

2.9 × 1025

(scientific notation)

= 2.9e25

(scientific e notation)

Step-by-step explanation:

hope this helped

Answer:

Step-by-step explanation:

The t-distribution is the distribution that uses t-values to establish confidence intervals.t-distribution:

The t-distribution is a probability distribution that is widely used in hypothesis testing and confidence interval estimation. It's also known as the Student's t-distribution, and it's a variation of the normal distribution with heavier tails, which is ideal for working with small samples, low-variance populations, or unknown population variances.The t-distribution is commonly used in hypothesis testing to compare two sample means when the population standard deviation is unknown. When calculating confidence intervals for population means or differences between population means, the t-distribution is also used. The t-distribution is used in statistics when the sample size is small (n < 30) and the population standard deviation is unknown.

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Answer:

the answer is a

Step-by-step explanation:

Answer:

it is not a deficiency, a measurement of above 60 inches is required for mon tempered glass, and given that the measurement is 63 inches, it is within the acceptable limits

Step-by-step explanation:

Tempered glass are tough glasses that are strong and do not normally break easily, tempered glass is required where the bottom edge is less than 5 feet or 60 inches above the bath the hath tub, so as to reduce the chance of the window being broken by the elbow while showering, and glasses lower than 60 inches are considered as being at risk of breaking, and should be made of tempered glass

Given that the measurement is 63 inches, the glass is not at risk and the 63 inches measurement for the given non tempered glass is not a deficiency

Therefore, the margin of error (E) for the 95% confidence interval is approximately 2.37 (accurate to two decimal places).

To calculate the margin of error (E) for a 95% confidence interval, we can use the formula:

\(E = Z * (σ / √n)\)

Where:

Z = Z-value corresponding to the desired confidence level (95% confidence level corresponds to Z = 1.96)

σ = Standard deviation of the population

n = Sample size

In this case, we have the following information:

T = 211 (sample mean)

n = 44 (sample size)

s = 8 (sample standard deviation)

To calculate the margin of error (E), we need to determine the standard deviation of the population (σ). Since we don't have that information, we can use the sample standard deviation (s) as an estimate for the population standard deviation.

Using the given information, we can calculate the margin of error as follows:

E = 1.96 * (8 / √44)

E ≈ 1.96 * (8 / 6.63)

E ≈ 1.96 * 1.21

E ≈ 2.37

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Answer:

The value of n = 7

Step-by-step explanation:

=> 3n-4=17

=> 3n = 17+4

=> 3n = 21

=> n = 21/3

=> n = 7

Answer:

n=7

Step-by-step explanation:

1. Solve

3n-4=17

3n-4+4=17+4

3n=21

3n/3=21/3

n=7

2. Check

3x7-4=17

21-4=17

17=17

Correct!
3. Answer

n=7