Fiona found 47 pens for $3.00 . Please help Fiona by figuring out the ratio. (round to 2 decimal places)

Answer:

-1.6, -.7, .9, 1.8

Step-by-step explanation:

hope this helped

Answer:

It should be $4,943.25

A) True. The source term in a partial differential equation (PDE) represents a forcing function or external input to the system being modeled.

A) True. The source term in a partial differential equation (PDE) represents a forcing function or external input to the system being modeled. In the finite element method (FEM), the PDE is discretized into a set of algebraic equations, and the source term appears in each of these equations.

Specifically, for each algebraic equation resulting from the discretization of the PDE, the source term contributes to the coefficient of the dependent variable on the left-hand side of the equation, and it is taken to the right-hand side of the equation. The resulting coefficient and right-hand side term are then used to construct the corresponding row of the global coefficient matrix and the right-hand side vector, respectively.

Therefore, the source term affects all algebraic equations in the finite element method and is an essential component of the mathematical model. Changing the source term will affect the solution obtained from the ANSYS solver and can result in a different physical behavior of the system being modeled.

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Answer:

\(2\frac{5}{9}\)

Step-by-step explanation:

Hi !

2.(5) = 2 5/9

Good luck !

Answer:

The lines DE and BC have the same slope, therefore the two lines, DE and BC, are parallel

Step-by-step explanation:

To prove that DE is parallel to BC, we have;

The slope, m of the lines DE and BC are found from the following equation;

\(Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

Where;

(x₁, y₁) and (x₂, y₂) = (b, c) and (a + b + c) for DE, we have;

\(Slope, \, m =\dfrac{c - c}{a + b-b} = 0\)

Where we have (x₁, y₁) and (x₂, y₂) = (0, 0) and (2a, 0) for BC, we have;

\(Slope, \, m =\dfrac{0 - 0}{2a-0} = 0\)

Therefore, because the lines DE and BC have the same slope, the two lines DE and BC are parallel.

Answer:

slope of DE = 0

slope Bc = 0

slopes are =

Step-by-step explanation:

the principal in Account B is 4.8 times the principal in Account A.

How to solve?

Let the principal in Account A be P and the principal in Account B be Q. Also, let n be the number of months.

From the given information, we have:

Interest earned in Account A = $6.00

Interest rate in Account A = 4%

Number of months = n

Using the formula for simple interest, we have:

Interest earned in Account A = (P × 4%× n) / 12

Substituting the given values, we get:

6.00 = (P × 4% × n) / 12

P× n = 150

Similarly, we have:

Interest earned in Account B = $30.00

Interest rate in Account B = 5%

Number of months = n

Using the formula for simple interest, we have:

Interest earned in Account B = (Q× 5% × n) / 12

Substituting the given values, we get:

30.00 = (Q× 5% ×n) / 12

Q × n = 720

To compare the principals, we can divide the equation for Account B by the equation for Account A:

(Q × n) / (P× n) = 720 / 150

Simplifying, we get:

Q / P = 4.8

Therefore, the principal in Account B is 4.8 times the principal in Account A.

Since the interest rate in Account B is higher than the interest rate in Account A, we can conclude that the principal in Account B is greater than the principal in Account A.

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(a) Product of disjoint cycles is α = (1 3 4 5 2)(6)(7 8), (b) Product of transpositions is β = (1 2 7 3)(4 8 6 5) is even, (c) αβ = (1 4 5)(2 7 3)(6)(8) and the reverse order of the transpositions is β^(-1) = (3 7 2 1)(5 6 8 4).

(a) To express α as a product of disjoint cycles, we observe the cycles by tracing the numbers in α. Starting with 1, we see that α(1) = 3, α(3) = 4, α(4) = 5, α(5) = 2, α(2) = 1, α(6) = 6, α(7) = 8, and α(8) = 7. From this, we can write α as a product of disjoint cycles: α = (1 3 4 5 2)(6)(7 8).

(b) To express β as a product of transpositions, we consider the pairs of numbers that are swapped by β. We have β(1) = 2, β(2) = 7, β(7) = 3, β(3) = 1, β(4) = 8, β(8) = 6, β(6) = 5, and β(5) = 4. Thus, we can write β as a product of transpositions: β = (1 2 7 3)(4 8 6 5).

To determine whether β is even or odd, we count the number of transpositions. In β, we have four transpositions, so β is even.

(c) To compute αβ, we perform the composition of the two permutations. We substitute the values of β into α, starting with 1: α(β(1)) = α(2) = 1. Continuing this process, we find αβ = (1 4 5)(2 7 3)(6)(8).

To find β^(-1), we reverse the order of the transpositions: β^(-1) = (3 7 2 1)(5 6 8 4).

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The 90% confidence interval for the ratio of variances is [0.05, 12.36].

Lets calculate the sample variances for each polymer.

For Epoxy:

Sample Variance (s₁²) = (1.74² + 2.15² + 2.02² + 1.95²) / (4 - 1)

= 0.135

For MMA Prepolymer:

Sample Variance (s₂²) = (1.78² + 1.57² + 1.72² + 1.67²) / (4 - 1)

=0.056

F statistic is F = (s₁²) / (s₂²)

F=0.135/0.056

=2.41

Determine the degrees of freedom for each sample.

For Epoxy: df₁ = 4 - 1 = 3

For MMA Prepolymer: df₂ = 4 - 1 = 3

Now find the critical F-value corresponding to a 90% confidence level with df₁ and df₂ degrees of freedom.

Using statistical tables or a calculator, the critical F-value for a 90% confidence level with df₁ = 3 and df₂ = 3 is approximately 5.14.

Calculate the lower and upper bounds of the confidence interval.

Lower Bound = (1 / F) × (s₁² / s₂²)

= (1 / 5.14) × (s₁² / s₂²)

= 0.050

Upper Bound = 5.14 × (s₁² / s₂²)

= F × (s₁² / s₂²)

=12.36

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Answer:

C. e = 8.1

Step-by-step explanation:

e-3.1= 5

e = 5+3.1

e = 8.1

Answer:

-1

Step-by-step explanation:

Answer:

17.50 per ticket

Step-by-step explanation:

If Hector paid $105 for 6 tickets, each ticket cost $105/6 = $<<105/6=17.50>>17.50.

Answer:

4, 12, 20, 28, 36

Step-by-step explanation:

to find Y you have to multiple x times 4 then subtract by 4

example: x=2 so you do 2(4) - 4

2(4) is 8 and 8 - 4 is 4

y = 4 and so on

Step-by-step explanation:

Variable n = number

7(n - 8) + 2 = 36

Answer:

6.75

Step-by-step explanation:

Consider the ratio:

$4.50 : 6 apples

We need to multiply this ratio by a value such that the right side is 9 because there are 9 apples in array p. This value is 9/6 = 3/2.

$4.50 : 6 apples

× 3/2     × 3/2

$6.75 : 9 apples

So, the value of p, or 9 apples, is $6.75, which you will input as 6.75.

Explanation:

Cosine is positive in quadrants I and IV, but quadrant IV isn't shaded in so we can rule out choice A.

Sine is positive in quadrants I and II. So far it looks like choice B could work. In fact, it's the answer because sin(pi/6) = 1/2 and sin(5pi/6) = 1/2. So if 0 ≤ sin(x) < 1/2, then we'd shade the region between theta = 0 and theta = pi/6; as well as the region from theta = 5pi/6 to theta = pi.

Choice C is ruled out because tangent is positive in quadrants I and III, but quadrant III isn't shaded.

Choice D is ruled out for similar reasoning as choice A. Recall that \(\sec(x) = \frac{1}{\cos(x)}\)

Answer:

0 ≤ sin x < 1/2.

Step-by-step explanation:

sin π6 = 1/2

sin 5π/6 = 1/2

sin 0 and sin 180 = 0

The dotted line indicates that the value of the sine is less than 1/2 and the solid line indicates that value  is greater or equal to zero.

So the inequality is 0 ≤ sin x < 1/2

Answer:

mean= 72

median= 74

mode= 74

Step-by-step explanation:

Mean (Average)

Mean= sum of all the valves/ Number of valves

values or observations.

72+74+63+74+82+63+74+60+75+83 / 10

=720/10

=72

720 comes in the table of 10 in 72×10=720

Median

arrange in ascending order;-

60,63,63,72,74,74,74,75,82,83

74 is the mid value

Mode

the value that appears maximum number of times in a data.

the number that we can see that appears number of times is 74 because, it appears 3 times.

If the perimeter of the isosceles triangle is 12 cm, then the base of the triangle (x), as well as the length of the triangle leg (x) is 4 cm.

An isosceles triangle is a type of triangle in which two sides have the same length. These two equal sides are referred to as the legs of the triangle, while the remaining side is known as the base.

The perimeter of a triangle is the sum of the lengths of all its sides. In this case, since the triangle is isosceles, the base and one leg have the same length (x), and the other leg also has the same length (x). Therefore, the perimeter of the triangle is 2x + x = 3x. Given that the perimeter of the isosceles triangle is 12 cm, then:

3x = 12

 x = 12/3

 x = 4

So, the base and legs of the isosceles triangle each have a length of 4 cm.

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Your question seems to be missing the value for the perimeter of the triangle, but I suppose the complete question was:

"The length of the base of an isosceles triangle is x. The length of a leg is x. The perimeter of the triangle is 12 cm. Find x."

=====================================================

Explanation:

Points Z and Y are midpoints of segments SR and RQ respectively.

These points form the midsegment ZY.

SQ is twice as long compared to YZ, since the midsegment is half as long as the side parallel to it.

We can then say...

SQ = 2*(YZ)

3x-8 = 2*(x+2)

3x-8 = 2x+4

3x-2x = 4+8

x = 12

Answer:

7

Step-by-step explanation:

5x + 3 = 38

5x + 3 - 3 = 38 - 3

5x = 35

5x ÷ 5 = 35 ÷ 5

x = 7

The probability that a random sample of n = 6 fiber specimens will have a sample tensile strength that exceeds 75.75 psi can be found by calculating the z-score and using the standard normal distribution. The z-score measures the number of standard deviations a particular value is from the mean.

To find the z-score, we use the formula:

z = (x - μ) / σ

where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation. Plugging in the values, we have:

z = (75.75 - 75.5) / 3.5

Solving this equation, we find the z-score to be approximately 0.0714. Now, we can use a standard normal distribution table or calculator to find the probability associated with this z-score. The probability of a z-score greater than 0.0714 is approximately 0.4713.

Therefore, the probability that a random sample of n = 6 fiber specimens will have a sample tensile strength that exceeds 75.75 psi is approximately 0.4713.

In other words, there is a 47.13% chance that the sample of n = 6 fiber specimens will have a sample tensile strength greater than 75.75 psi.

The given problem involves the tensile strength of a synthetic fiber used in manufacturing carpet. We are given the mean (μ) of the tensile strength as 75.5 psi and the standard deviation (σ) as 3.5 psi. To find the probability that a random sample of n = 6 fiber specimens will have a sample tensile strength exceeding 75.75 psi, we need to calculate the z-score.

The z-score is a measure of how many standard deviations an observation is away from the mean. By calculating the z-score, we can then use a standard normal distribution table or calculator to find the associated probability.

Using the formula for z-score, we find that the z-score is approximately 0.0714. This value indicates that the observation is approximately 0.0714 standard deviations above the mean.

Using the standard normal distribution table or calculator, we can find the probability associated with this z-score. The probability of a z-score greater than 0.0714 is approximately 0.4713.

Therefore, the probability that a random sample of n = 6 fiber specimens will have a sample tensile strength that exceeds 75.75 psi is approximately 0.4713, or 47.13%.

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True, the error rate of the ensemble classifier will be smaller than e when e = 0.3 and all base classifiers are independent.

The error rate of an ensemble classifier can be expressed as follows:

error rate = E(Y ≠ h(X)),

where Y is the true class label, h(X) is the predicted class label, and E() denotes the expected value.

Assuming that all base classifiers are independent, the probability of error for each classifier is e = 0.3. Then, the probability that a majority of the classifiers will make an error is given by the binomial distribution:

P(X > n/2) = ∑(n/2 to n) (n choose k) e^k (1-e)^(n-k)

where n is the number of classifiers in the ensemble, and X is the number of classifiers that make an error.

Since we have assumed that all base classifiers are independent, we can simplify the above expression using the central limit theorem, which states that the binomial distribution approaches a normal distribution as n gets larger. Therefore, we have:

P(X > n/2) ≈ 1 - Φ((n/2 - ne)/sqrt(ne(1-e))),

where Φ() is the standard normal cumulative distribution function.

Substituting e = 0.3 and simplifying, we get:

P(X > n/2) ≈ 1 - Φ((n/2 - 0.3n)/sqrt(0.21n))

As n gets larger, the right-hand side of the above expression approaches 0. Therefore, the error rate of the ensemble classifier approaches 0 as the number of base classifiers increases. In other words, the error rate of the ensemble classifier will be smaller than e = 0.3 when all base classifiers are independent.

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Answer:

b=17/4

x=-3/5

Step-by-step explanation:

This is what i put for the hw and i got 100% on it. If you want you can just write a bunch of random equations that look like they relate to the question and then just write and circle the answer, which is exactly what i did

Answer:

Step-by-step explanation:

1) 3b + 9 - 5b + 3 = -14 + 6b - 8, for b?

→ 3b + 9 - 5b + 3 = -14 + 6b - 8

→ -2b + 12 = 6b - 22

→ -2b - 6b = -22 - 12

→ -8b = -34

→ b = -34/-8

→ [ b = 17/4 ]

Hence, the value of b is 17/4.

2) 2x + 5 - 4x + 8 = 5(5 + 6x) - 12x, for x?

→ 2x + 5 - 4x + 8 = 5(5 + 6x) - 12x

→ -2x + 13 = 25 + 30x - 12x

→ -2x - 18x = 25 - 13

→ -20x = 12

→ x = 12/-20

→ [ x = -3/5 ]

Hence, the value of x is -3/5.

Answer:

15

Step-by-step explanation:

the range is the largest number take away the smallest number

56-41=15

Referring to the process flow diagram below, we see that Station 3 is upstream of the target and downstream of the bottleneck.

The diagram depicts the process flow in a system or facility that helps to identify the different stations or steps involved in the process, as well as the direction of the process.

From the process flow diagram below, we can infer that Station 3 is upstream of the target and downstream of the bottleneck.

To help you understand the terms better, here's what they mean:Bottleneck: It is a station or a process that limits the capacity or slows down the overall flow of the process.

It is generally the slowest part of the system or process.

Upstream: It is a station that comes before the target or the bottleneck. It is the station that supplies the input for the downstream stations.

Downstream: It is a station that comes after the target or bottleneck. It is the station that receives the output or product from the upstream station(s).

The process flow diagram is a visual representation of the process steps, stations, and their relationships that help to identify the target and bottleneck stations.

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Answer:

3(4 + t) = t - 2

Step-by-step explanation:

Symbolically, we have:

3(4 + t) = t - 2

Answer:

1. Profit =  Revenue - Cost

2.  For the Alcone Company Revenue = $45 × x

For the Besame Beauty Revenue = $55 × x

3.  Alcone Company; Cost = $1,500 + $36×x

Besame Beauty; Cost = $2,200 + $44×x

4)  For Alcone Company, we have;

Profit = $9 × x - $1,500

For  Besame Beauty, we have;

Profit = $11 × x - $2,200

5) For Alcone Company;

Profit= $525

For Besame Beauty;

Profit = $275

6) For Alcone Company;

Profit = -$150

For Besame Beauty;

Profit  -$550

7) Order of operations is used to ensure that the revenue is first calculated before the cost is subtracted to find the costs

8) In order to find the number of tubes that the company would need to manufacture in order to have a profit of greater than 0, we equate the expression using the inequality of greater than 0 to find the value of x that must be surpassed to have a profit greater than 0

9) For Alcone Company;

The profit will be > 0 at x = 167 tubes

For Besame Beauty;

The profit will be > 0 at x = 201 tubes

Step-by-step explanation:

The given parameters are;

The Alcone Company

The price at which the shade of lip color is sold = $45 per tube

The cost incurred to make  the lip color = $36 per tube

The monthly manufacturing cost of manufacturing the lip color = $1,500

For Besame Beauty

The price at which the shade of lip color is sold = $55 per tube

The cost incurred to make  the lip color = $44 per tube

The monthly manufacturing cost of manufacturing the lip color = $2,200

1. The formula for finding the profit is given as follows;

Profit =  Revenue - Cost

Revenue = Sale price × Number of tubes sold

Cost = The monthly manufacturing cost + The cost incurred to make the lip color × Number of tubes

2. The expression for revenue for the Alcone Company is given as follows;

Revenue = $45 × x

The expression for revenue for the Besame Beauty is given as follows;

Revenue = $55 × x

3. The expression for the cost for the manufacture of the lip color by the Alcone Company per month is given as follows;

Cost = $1,500 + $36×x

The expression for the cost for the manufacture of the lip color by the Besame Beauty per month is given as follows;

Cost = $2,200 + $44×x

4)  For Alcone Company, we have;

Revenue = $45 × x

Cost = $1,500 + $36×x

By transitive property and distributive property, we have

Profit =  Revenue - Cost = $45 × x - ($1,500 + $36×x) = $9 × x - $1,500

Profit = $9 × x - $1,500

For  Besame Beauty, we have;

Revenue = $55 × x

Cost = $2,200 + $44×x

By transitive property and distributive property, we have;

Profit =  Revenue - Cost = $55 × x - ($2,200 + $44×x) = $11 × x - $2,200

Profit = $11 × x - $2,200

5) With the number of tubes produced = 225 tubes, we have;

For Alcone Company;

Profit = $9 × x - $1,500 = $9 × 225 - $1,500 = $525

ForBesame Beauty;

Profit = $11 × x - $1,500 = $11 × 225 - $2,200 = $275

6) With the number of tubes produced = 150 tubes, we have;

For Alcone Company;

Profit = $9 × x - $1,500 = $9 × 150 - $1,500 = -$150

For Besame Beauty;

Profit = $11 × x - $2,200 = $11 × 150 - $2,200 = -$550

7) Order of operations is used to ensure that the revenue is first calculated before the cost is subtracted to find the costs

8) In order to find the number of tubes that the company would need to manufacture in order to have a profit of greater than 0, we equate the expression using the inequality of greater than 0 to find the value of x that must be surpassed to have a profit greater than 0

9) For Alcone Company;

Profit = $9 × x - $1,500 >0

$9 × x  >0 + $1,500

$9 × x  > $1,500

x > $1,500/$9

x > 500/3

x > \(166\frac{2}{3}\)

Therefore, the profit will be > 0 at x = 167 tubes

For Besame Beauty;

Profit = $11 × x - $2,200 > 0

$11 × x  > 0 + $2,200

$11 × x  > $2,200

x > $2,200/$11

x > 200

Therefore, the profit will be > 0 at x = 201 tubes

Answer:

both angles 1 and 2 measure 135°

Step-by-step explanation:

angle 1 = angle 2 = 135°

Hope this helps

The rate of change of the volume of the sphere is 100,530.96 mm^3/s

How to calculate rate of change of the volume of the sphere?

Given,

radius = r = 80 / 2 = 40 mm

rate of change radius = \(\frac{dr}{dt}\) = 5 mm/s

Formula to calculate volume of the sphere is

\(V = \frac{4}{3}\pi r^{3}\)

Differentiating the volume formula and we get new formula to calculate rate of change of the volume.

\(\frac{dV}{dt} = \frac{4}{3}\pi 3r^{2}\frac{dr}{dt}\)

Simplify to

\(\frac{dV}{dt} = 4\pi r^{2}\frac{dr}{dt}\)

Now, we put the given value to formula and calculate it

\(\frac{dV}{dt} = 4\pi (40)^{2}(5)\)

\(\frac{dV}{dt} = 100,530.96\) mm^3/s

Thus, the rate of change of the volume of the sphere is 100,530.96 mm^3/s

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9514 1404 393

Answer:

Step-by-step explanation:

If all of Brent's coins were pennies, their value would be 1.63. The value is actually 4.42 -1.63 = 2.79 more than that. Replacing a penny by a dime increases the value by .09. Hence there must be 2.79/.09 = 31 replacements.

Brent has 31 dimes and 132 pennies.

_____

Solution using an equation

You can write an equation that solve the problem in basically the same way. Let the variable represent the number of coins of highest value: d = dimes. Then the value (in cents) of the collection is ...

  1(163-d) +10d = 442

  9d +163 = 442 . . . . . . . . . . simplify (note 9 is the difference in value; 163 is the value of all pennies)

  9d = 442 -163 = 279 . . . . . . subtract 163

  d = 279/9 = 31 . . . . . . . . . . divide by 9

Brent has 31 dimes and 163-31 = 132 pennies.

Answer:

Step-by-step explanation: