I have enough pure silver to coat 4 square meters of surface area. I plan to coat a sphere and a cube. Allowing for the possibility of all the silver going onto one of the solids, what dimensions should they be if the total volume of the silvered solids is to be a maximum

We can rewrite the inequality as:

95 ≤  u ≤  155

Here we have the absolute value inequality:

|125 - u| ≤ 30

Where the variable is u.

The absolute value can be decomposed into two inequalities:

(125 - u) ≤ 30

(125 - u) ≥ -30

Solving these two we will get:

125 - 30  ≤ u

125 + 30  ≥ u

Then the compound inequality is:

95 ≤  u ≤  155

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The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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The probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

Let X denote the time required to process a package of five tasks. X is an exponentially distributed random variable with mean 2 minutes.

The probability of X being less than 8 minutes is given by:

P(X ≤ 8) = 1 - P(X > 8)

= \(1 - (1 - e^{(-8/2)}^{5}\)

= 0.963

Therefore, the probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

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bye the question

greatest common factor means which is common factor in all three numbers as 18,36,45

Step-by-step explanation:

here,

therefore the greatest common factor of 18,36 and 45 is 3.

1. height(in.)

2. arm span (in.)

3. (30,27)

Answer:

19,188

Step-by-step explanation:

hope this helps ;)

The expression when evaluated is 10f + 3

From the question, we have the following parameters that can be used in our computation:

10f + 6 + 5-8​

Collect the like terms

So, we have the following representation

10f + 6 + 5-8​ = 10f + 6 + 5-8​

Evaluate the like terms in the expression

So, we have the following representation

10f + 6 + 5-8​ = 10f + 3

Hence, teh expression is  10f + 3

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Answer:

We can use similar triangles to solve this problem. Let's call the length of the kite's line "x". Then, we can set up a proportion:

(length of kite) / (length of shadow) = (height of kite) / (length of shadow)

x / 9 = 10 / 9

To solve for x, we can cross-multiply and simplify:

x = 90 / 9

x = 10

Therefore, the length of the kite's line is 10 feet.

Step-by-step explanation:

Answer:

15 feet off the ground

Step-by-step explanation:

Hope this helps!

Answer:18

Step-by-step explanation:

1.5 times 12 =18

The mean and standard deviation of a sampling distribution of means are given by µ = μ and σ/√n, respectively. The mean and standard deviation of a sampling distribution of proportions are given by µ = p and σp = sqrt(pq/n), respectively.

The sample size affects how close to a normal distribution of either sample means or sample proportions will be in the following ways:If the sample size is small, the resulting distribution will be skewed.

As the sample size increases, the distribution gets closer to normal.

This is because of the central limit theorem, which states that as the sample size increases, the sampling distribution of the mean gets closer to normal, regardless of the population distribution.

The mean and standard deviation for a sampling distribution of means are given as follows:Mean: µ = μStandard Deviation: σ/√n.

The mean and standard deviation for a sampling distribution of proportions are given as follows:Mean: µ = p

Standard Deviation: σp = sqrt(pq/n)where p and q are the proportions of successes and failures, respectively, and n is the sample size.

In summary, the sample size plays an important role in determining the shape of a sampling distribution of either means or proportions. As the sample size increases, the distribution gets closer to normal, which makes it easier to draw inferences from the data. The mean and standard deviation of a sampling distribution of means are given by µ = μ and σ/√n, respectively. The mean and standard deviation of a sampling distribution of proportions are given by µ = p and σp = sqrt(pq/n), respectively.

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  Mean absolute deviation (MAD) of the data set indicates the average distance of all elements from mean of the data set.

MAD of the data represented by dot plot in the picture will be Option A.

Elements in the given dot plot are,

3, 4, 5, 5, 5, 5, 5, 5, 6, 7

Steps to be followed for the mean absolute deviation of this data set.

Step - 1 :

Mean of the data set = \(\frac{\text{Total of the data}}{\text{Total number of elements}}\)

                                   = \(\frac{3+4+5+5+5+5+5+5+6+7}{10}\)

                                   = \(\frac{50}{10}\)

                                   \(=5\) (As shown on the dot plot)

Step - 2 :

Absolute distance of each element from the mean of the data set,

3 - 5 = |-2| = 2

4 - 5 = |-1| = 1

5 - 5 = 0

5 - 5 = 0

5 - 5 = 0

5 - 5 = 0

5 - 5 = 0

5 - 5 = 0

6 - 5 = 1

7 - 5 = 2

Step - 3 :

Average of the absolute distance = \(\frac{2+1+0+0+0+0+0+0+1+2}{10}\)

                                                        = \(\frac{6}{10}\)

                                                        = 0.6

          Therefore, Option A will be the correct option.

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Since both of the flower will be y = 1 at x = 0, yes, the flowers will be the same​ height at x = 0. And (0,1) is the solution to the system of equation

To know the solution of a system of equation, the two equation can be solved simultaneously.

Given the 2 equations y = 1.5x + 1 and y = 1.2x + 1

Equate the two equations to get x

1.5x + 1 = 1.2x + 1

collect the like terms

1.5x - 1.2x = 1 - 1

0.3x = 0

x = 0

Substitute x in any of the equation.

y = 1.5(0) + 1

y = 1

Yes! The flower will be of the same height at x = 0.

Therefore, (0,1) is the solution to the system of equation. And the flower will be of the same height at x = 0.

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a) We cοnclude that there is sufficient evidence tο suggest that the variances οf the twο pοpulatiοns are nοt equal.

b) We cοnclude that there is sufficient evidence tο suggest that the variance οf the first pοpulatiοn is greater than the variance οf the secοnd pοpulatiοn.

Tο test the hypοtheses regarding the variances οf twο pοpulatiοns, we can use the F-distributiοn.

Given:

Sample size οf the first sample (n₁) = 9

Sample size οf the secοnd sample (n₂) = 7

Sample variance οf the first sample (s₁²) = 100

Sample variance οf the secοnd sample (s₂²) = 20

Significance level (α) = 0.05

(a) Testing H0: σ₁² = σ₂² versus Ha: σ₁² ≠ σ₂²:

Tο perfοrm the test, we calculate the F-statistic using the fοrmula:

F = s₁² / s₂²

where s₁² is the sample variance οf the first sample and s₂² is the sample variance οf the secοnd sample.

Plugging in the given values:

F = 100 / 20 = 5

Next, we determine the critical F-value at a significance level οf α/2 = 0.025. Since n₁ = 9 and n₂ = 7, the degrees οf freedοm are (n₁ - 1) = 8 and (n₂ - 1) = 6, respectively.

Using a table οr statistical sοftware, we find F.025 = 4.03 (rοunded tο twο decimal places).

Cοmparing the calculated F-value with the critical F-value:

F (5) > F.025 (4.03)

Since the calculated F-value is greater than the critical F-value, we reject the null hypοthesis H0: σ₁² = σ₂².

Therefοre, we cοnclude that there is sufficient evidence tο suggest that the variances οf the twο pοpulatiοns are nοt equal.

(b) Testing H0: σ₁² < σ₂² versus Ha: σ₁² > σ₂²:

Tο perfοrm the test, we calculate the F-statistic using the fοrmula as befοre:

F = s₁² / s₂²

Plugging in the given values:

F = 100 / 20 = 5

Next, we determine the critical F-value at a significance level οf α = 0.05. Using the degrees οf freedοm (8 and 6), we find F.05 = 3 (rοunded tο the nearest whοle number).

Cοmparing the calculated F-value with the critical F-value:

F (5) > F.05 (3)

Since the calculated F-value is greater than the critical F-value, we reject the null hypοthesis H0: σ₁² < σ₂².

Therefοre, we cοnclude that there is sufficient evidence tο suggest that the variance οf the first pοpulatiοn is greater than the variance οf the secοnd pοpulatiοn.

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Answer:

4 I guess

Step-by-step explanation:

Because

3-1=2

2^2=2*2=4

Answer:

4. 3.18

Step-by-step explanation:

Therefore, the answer is 4. 3.18.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

 ~ ren

The equations of the lines are listed below:

Dark green: y = x

Cyan: y = 3 · x - 2

Red: x - 3 · y = - 6

Gray: y = 1

Light green: x = 1

Dark blue: 3 · x + y = 2

Magenta: y = - (1 / 3) · x - 2

Purple: y = - x

In this problem we find five lines whose equations should be found. Lines are defined by following two features:

The equation of the line is defined by:

y = m · x + b

Where:

And the slope of the line is determined by secant line equation:

m = Δy / Δx

Where:

Please notice that intercept is the y-value of the function evaluated at x = 0.

For the case of vertical lines, they are represented by equations of the form:

x = a

Now we proceed to determine the equation of each line:

Dark green

Slope

m = (1 - 0) / (1 - 0)

m = 1

Intercept

b = 0

Equation of the line

y = x

Cyan

Slope

m = [1 - (- 2)] / (1 - 0)

m = 3

Intercept

b = - 2

Equation of the line

y = 3 · x - 2

Red

Slope

m = (2 - 0) / [0 - (- 6)]

m = 1 / 3

Intercept

b = 2

Equation of the line

y = (1 / 3) · x + 2

x - 3 · y = - 6

Gray

Slope

m = 0

Intercept

b = 1

Equation of the line

y = 1

Light green

Equaton of the line

x = 1

Dark blue

Slope

m = (- 1 - 2) / (1 - 0)

m = - 3

Intercept

b = 2

Equation of the line

y = - 3 · x + 2

3 · x + y = 2

Magenta

Slope

m = (- 2 - 0) / [0 - (- 6)]

m = - 1 / 3

Intercept

b = - 2

Equation of the line

y = - (1 / 3) · x - 2

Purple

Slope

m = (- 1 - 0) / (1 - 0)

m = - 1

Intercept

b = 0

Equation of the line

y = - x

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Answer:

The leading coefficient of the function is -2

Step-by-step explanation:

Here, we want to get the leading coefficient of the quadratic equation

Mathematically, the leading coefficient refers to the coefficient of the x^2 term

With respect to the question, the leading coefficient in this case is -2

The point of turn or angle of rotation of 360° is a point of rotational symmetry for all figures. Therefore, the correct answer is option number 4.

This indicates that the figure will appear identical to its original form when it is rotated 360 degrees around its center point. At the end of the day, the figure will have a similar direction as it had before the turn. In geometry, this property is frequently used to identify shapes with rotational symmetry and to create repeating patterns and designs.

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Complete Question:

which angle of rotation is an angle of rotational symmetry for all figures? 45°

90°

180°

360°

The second derivative test states that if f’(x) = 0 and f’’(x) > 0 at x = c, then f has a local minimum at c. Likewise, if f’(x) = 0 and f’’(x) < 0 at x = c, then f has a local maximum at c.

In other words, if the second derivative is positive, it means that the function is concave up, so the function is having a minimum value at that point. Likewise, if the second derivative is negative, it means that the function is concave down, so the function is having a maximum value at that point.

Given f(x) = 2x³ 3x² - 36x 5Therefore, we will begin by finding the first and second derivative of f(x).f’(x) = 6x² + 6x - 36f’’(x) = 12x + 6We set the second derivative to zero.12x + 6 = 0x = -0.5We use the second derivative test, since the second derivative is positive at x = -0.5. This means that f has a local minimum at x = -0.5. Therefore, the value of f at the point of the local maximum is:f(-0.5) = 2(-0.5)³ + 3(-0.5)² - 36(-0.5) + 5= -6.5.

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Answer:

- 5m + 8

Step-by-step explanation:

Given:

(2m + 3) - (7m - 5)

If you want to find the differences between two values, it means you are to subtract

(2m + 3) - (7m - 5)

This means subtract (7m - 5) from

(2m + 3)

Step 1: Open parenthesis

(2m + 3) - (7m - 5)

= 2m + 3 - 7m + 5

Group like terms

= 2m - 7m + 3 + 5

= - 5m + 8

Or

= 8 - 5m

Answer:

Sphere

Step-by-step explanation:

its a sphere with a radius of 5

The solid three dimensional image that is produced from the rotation of the semicircle is called a sphere.

This is used to define the movement of an object in a three dimensional plane around a fixed point.

This transformation os known to occur in a given point of the figure. The roataion is done at a certain degree.

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The correct order is to first calculate the actual distance, then determine the number of standard errors, and finally assess the percentage probability or p-value.

The correct order with regard to a claim about a population mean is d. actual distance, number of standard errors, percentage probability.

The first step in assessing a claim about a population mean is to determine the actual distance between the sample mean and the claimed population mean. This involves calculating the difference between the sample mean and the claimed population mean.

The second step is to determine the number of standard errors. This is done by dividing the actual distance by the standard error, which measures the variability of the sample mean.

Finally, the percentage probability is assessed. This involves determining the probability of obtaining a sample mean as extreme as or more extreme than the observed sample mean, assuming the null hypothesis is true. This probability is often referred to as the p-value.

In summary, the correct order is to first calculate the actual distance, then determine the number of standard errors, and finally assess the percentage probability or p-value.

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We need to multiply the numerator and denominator by 3-√5 to rationalize the denominator of the fraction. Therefore, the correct answer is option B

To rationalize the denominator of the fraction 6−2√3+√5, we need to eliminate any radicals present in the denominator. We can do this by multiplying both the numerator and denominator by an expression that will cancel out the radicals in the denominator.

In this case, we can observe that the denominator contains two terms with radicals: -2√3 and √5. To eliminate these radicals, we need to multiply both the numerator and denominator by an expression that contains the conjugate of the denominator.

The conjugate of the denominator is 6+2√3-√5, so we can multiply both the numerator and denominator by this expression, giving us:

(6−2√3+√5)(6+2√3-√5) / (6+2√3-√5)(6+2√3-√5)

Simplifying the numerator and denominator, we get:

(6 * 6) + (6 * 2√3) - (6 * √5) - (2√3 * 6) - (2√3 * 2√3) + (2√3 * √5) + (√5 * 6) - (√5 * 2√3) + (√5 * -√5) / ((6^2) - (2√3)^2 - (√5)^2)

This simplifies to:

24 + 3√3 - 7√5 / 20

Therefore, the correct answer is option B.

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Complete question is:

To rationalize the denominator of the fraction 6−2√3+√5

It is required:

A) multiply the denominator by 3−√5

B. multiply numerator and denominator by 3−√5

C. multiply numerator and denominator by 3+√5

D. multiply numerator and denominator by 6+√2

The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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Answer:

c i think

Step-by-step explanation:

Answer:

C.) x7      ;)

Step-by-step explanation:

:))))))))))))))

Answer: $70.28

Step-by-step explanation:

its easy all you have to do is add both numbers ($33.87 and $36.41) together and get The answer ($70.28)

Answer:

8.2 cm

Step-by-step explanation:

\(sin 20 = \frac{x}{24}\)

\(sin20(24) = x\)

\(8.2084 = x\)

Answer:

183 miles per hour.

Explanation:

The estimated velocity(v) at the end of a drag race is modeled using the formula below:

Given:

• The horsepower, p = 1311

• The weight (in pounds), w = 2744 pounds.

Substitute into the formula above:

The velocity is approximately 183 miles per hour.

Answer:

r = 4.5%

Step-by-step explanation:

I = Prt

$63 = $700 x r x 2

$63 = 1400r

r = 0.045

r = 4.5%

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Hope this helps :)