When Laura was a store manager at a movie store, she made $500 a week. Ten years later, as a clothing store manager, she made $800 a week. What was the percent of change? Show your work and explain your answer.

The thickness of the non-reflective coating layer is 9.62 x 10¯⁸ m or 96.2 nm.

From the question we know that :

n = 1.30

λ = 500nm = 5 x 10¯⁷m

The non-reflective coating system is applied on glass and the refractive index of that system should be  nair < ncoating < nglass. The light travels across the air and is refracted by coating film and then refracted again by the glass. For preventing the light got reflected by glass, the thickness of the layer should obey this equation :

2nt = λ/2

t is the thickness of the layer, λ is the wavelength and n is the refractive index of the film.

By substituting the following equation we get

2nt = λ/2

t = 1/4 . ( λ / n )

t = 1/4 . ( 5 x 10¯⁷ / 1.3)

t = 9.62 x 10¯⁸ m

Hence, the thickness of the non-reflective coating layer is 9.62 x 10¯⁸ m or 96.2 nm.

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The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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Answer:

x = 12

Explanation:

Given the expression

17-5(2x-9)=-(-6x+10)+4

​Open the parenthesis

17 - 5(2x) - 5(-9) = -6x + 10 + 4

17 - 10x + 45 = -6x + 14

-10x + 62 = -6x + 14

Collect the like terms

-10x + 6x = 14 - 62

-4x = -48

Divide both sides by -4

-4x/-4 = -48/-4

x = 48/4

x = 12

Hence the value of x that makes the equation true is 12

Answer:

Distributive Property, Subtraction Property of Equality, Subtraction Property of Equality, Division Property of Equality

Step-by-step explanation:

First, you need to distribute. Next, you subtract on both sides. Then, you subtract again. Finally, you divide.

Jane travels 8 miles much farther than her trainer. The solution is obtained using arithmetic operations.

What are arithmetic operations?

By combining operands with one arithmetic operator, an arithmetic operation is given. The built-in functions add, subtract, divide, and multiply additionally allow for the specification of arithmetic operations.

3. Using pythagoras theorem, we get the equation as D² = 12² + 16².

⇒D² = 144 + 256

⇒D² = 400

⇒D = √400

⇒D = 20

4. Jane has traveled 28 miles in total whereas her trainer has traveled 20 miles.

So, the difference is 28-20= 8 miles

Hence, Jane travels 8 miles much farther than her trainer.

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Answer:

280

Step-by-step explanation:

If he can walk 40 in 2 days, multiply 7 by 40 to get 280 km total

The amount of work required to stretch the spring from 30.0 cm to 36.0 cm is 1.411 joules, which can be rounded to three decimal places.

According to Hooke's Law, the amount of work required to stretch or compress a spring by a certain amount is given by the formula:

W = (1/2) k (x2 - x1)²

where W is the work done (in joules), k is the spring constant (in newtons per meter), x1 is the initial displacement (in meters), and x2 is the final displacement (in meters).

In this case, the spring has a natural length of 30.0 cm, which is equivalent to 0.3 meters. To find the spring constant, we can use the fact that a 20.0-N force is required to keep it stretched to a length of 42.0 cm, which is equivalent to 0.42 meters.

Using Hooke's Law, we have

F = k (x2 - x1)20.0 N

= k (0.42 - 0.3) m

=> k = 80.0 N/m

Now we can use Hooke's Law again to find the amount of work required to stretch the spring from 30.0 cm to 36.0 cm, which is equivalent to 0.36 meters.

Using Hooke's Law, we have:

F = k (x2 - x1)W

= (1/2) k (x2 - x1)²W

= (1/2) (80.0 N/m) (0.36 - 0.3) m²W

= 1.411 J

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With a \($\$400$\) original bill, a \($1\%$\) late charge, and a subsequent\($1\%$\)increase, Jenna's total bill is now \($\$404.04$\)

The formula for calculating the total amount due after the late charge and subsequent increase is as follows:

Total = Original Bill + (Original Bill * Late Charge %) + (Original Bill * Late Charge % * 1% Increase)

In this problem, the original bill is \($\$400$,\) the late charge is \($1\%$\), and the subsequent increase is also 1%. Plugging these values into the equation, we have

\(Total = $\$400$ + ($\$400$ * $1\%$) + ($\$400$ * $1\%$ * $1\%$) = $\$400$ + $\$4$ + $\$0.04$ = $\$404.04$\)

Therefore, with a $\$400$ original bill, a $1\%$ late charge, and a subsequent $1\%$ increase, Jenna's total bill is now \($\$404.04$.\)

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Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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it is important to keep in mind that the results of a polygraph test should not be taken as absolute proof of deception or truthfulness, and that other factors should also be considered in evaluating a job applicant

While lie-detector tests (also known as polygraph tests) are sometimes used as part of a job application process, their reliability and accuracy are controversial and have been questioned by many experts in the field. The test measures physiological responses such as heart rate, blood pressure, and sweat gland activity in response to questions, and the results are interpreted by a trained examiner to determine whether the person is being truthful or deceptive.

However, there are several factors that can affect the results of a polygraph test, including the person's physiological state (such as anxiety or stress), the wording and interpretation of the questions, and the skills and biases of the examiner. False positives (indicating deception when the person is actually telling the truth) and false negatives (indicating truthfulness when the person is actually lying) are also possible.

In your case, it is possible that the lie-detector test gave a false positive result, indicating deception when you were actually telling the truth. There could be various reasons for this, such as anxiety or stress during the test, a misunderstanding or misinterpretation of the questions, or an error in the administration or interpretation of the test.

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Answer:

1

Step-by-step explanation:

\((3^{n-1})\cdot(3^{1-n})\\\\=3^{n-1+1-n}\\\\\longrightarrow n-1+1-n=(n-n)+(-1+1)=0+0=0\\\\=3^{0}\\\\=1\)

Answer:

RTS.

Step-by-step explanation:

This is an obtuse angle.

Answer:

x = 70

Step-by-step explanation:

Ok first let's find the angle where there is an exterior angle:

180-120=60

Then add this and the other inside known angle and subtract that from 180 to get your answer:

60+50=110

180-110=70

Answer:

70

Step-by-step explanation:

Sum of two interior angles equals to the exterior angle.

On solving the provided question we can say that the value of the equation will be 20-15=5 B

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

Girls 4/(4+3)* 35= 20

Boys: 35-20= 15

Ans 20-15=5 B

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Answer:

C: 22

Step-by-step explanation:

The difference between the amount of red and yellow paint is 4. If you were to do 18 tablespoons of red paint, you would need 4 more tablespoons of yellow paint. This results in the answer being 22.

Hope this helps!

Answer:

27 teaspoons. maybe i dont know did this by ratios

Step-by-step explanation:

The regular octagon has eight equal sides. Then the area of the regular octagon of side length be 4.6 is 102 ft².

It is a polygon that has eight equal sides. In a regular octagon, the opposite sides are parallel. And its diagonals are also equal and intersect at mid-point.

Given

A regular octagon has a radius of 6 ft and a side length of 4.6 ft.

We know the formula for the regular octagon.

Area of the regular octagon = 2(1 + \(\sqrt{2}\)) a²

Where a be the side of a regular octagon.

Then the area of the regular octagon will be.

\(\rm Area = 2 (1+\sqrt{2} ) a^2\\\\Area = 2*(1 + 1.414) *4.6^2\\\\Area = 2 * (2.414)* 21.16\\\\Area = 102.16\)

Thus, the area of the regular octagon of side length be 4.6 is 102 ft².

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The line representing the equation  7x1 + 4x2 ≤  28 passes through the two points B. (0, 4) and (7,0).

In linear programming, the equation 7x1 + 4x2 ≤  28 indicates a constraint. This equation may be represented as a line in two dimensions, with variables x1 and x2. The line divides the feasible area from the infeasible region, and the feasible region is defined as the set of points that meet the constraint 7x1 + 4x2 ≤ 28.

This line may be plotted using the two points B. (0, 4) and (7, 0). Consider the equation 7x1 + 4x2 ≤ 28 to show why. If x1 = 0, then 7x1 = 0, and the equation changes to 4x2 ≤  28, or x2 ≤  7. This suggests that the line's y-intercept is 7. If x2 = 0, 4x2 = 0, and the equation changes to 7x1 ≤  28, or x1 ≤  4. This suggests that the line's x-intercept is 4.

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The probability that exactly 7 customers are very satisfied is 0.75.

So, the probability that exactly 7 customers are satisfied.

We know that a total of 93% of customers are satisfied.

Then, get 93% of 10:

10/100 × 93

0.1 × 93

9.3

Probability formula: P(E) = Favourable events/Total events

F(E) = 7 and T(E) = 9.3

Now, calculate as follows:

P(E) = Favourable events/Total events

P(E) = 7/9.3

P(E) = 0.75

Therefore, the probability that exactly 7 customers are very satisfied is 0.75.

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Correct question:
Use excel to find the following binomial distribution probabilities. a hotel claims that 93% of its customers are very satisfied with its service. complete parts a through e below based on a random sample of 10 customers. (4 points) a) what is the probability that exactly 7 customers are very satisfied?

Answer:

57/200 Km

Step-by-step explanation:

3/10*10= 30/100

30/100+27/100=57/200km

The number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

We can solve this inequality by introducing an auxiliary variable x4, such that x1 + x2 + x3 + x4 = 11. Here, x1, x2, x3, and x4 are all nonnegative integers.

We can interpret this equation as follows: imagine we have 11 identical objects and we want to distribute them among four boxes (x1, x2, x3, and x4). Each box can contain any number of objects, including zero. The number of solutions to this equation will give us the number of nonnegative integer solutions to the original inequality.

We can use a technique known as stars and bars to count the number of solutions to this equation. Imagine we represent the 11 objects as stars: ***********.

We can then place three bars to divide the stars into four groups, each group representing one of the variables x1, x2, x3, and x4. For example, if we place the first bar after the first star, the second bar after the third star, and the third bar after the fifth star, we get the following arrangement:

| ** | * | ****

This arrangement corresponds to the solution x1=1, x2=2, x3=1, and x4=7. Notice that the number of stars to the left of the first bar gives the value of x1, the number of stars between the first and second bars gives the value of x2, and so on.

We can place the bars in any order, so we need to count the number of ways to arrange three bars among 14 positions (11 stars and 3 bars). This is equivalent to choosing 3 positions out of 14 to place the bars, which can be done in C(14,3) ways.

Therefore, the number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

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The hypothesis is that the percentage of white and pink beans in the container is equal. To test this, a random sample can be taken and the percentages of white and pink beans in the sample can be compared.

We can formulate the following hypothesis for the percentage of white versus pink beans:

Hypothesis: The percentage of white beans in the container is equal to the percentage of pink beans.

This hypothesis assumes that the container is well-mixed, and that there is no difference in weight, size or shape between the white and pink beans that would affect their distribution. We can test this hypothesis by taking a random sample of beans from the container, and counting the number of white versus pink beans in the sample.

If the percentages of white and pink beans in the sample are similar, then we can accept the hypothesis. However, if there is a significant difference in the percentages, we would reject the hypothesis and assume that the container is not well-mixed or that there is a difference in the weight or size of the beans.

In summary, the hypothesis for the percentage of white versus pink beans in the container is that the percentages of white and pink beans are equal. This hypothesis can be tested by taking a random sample of beans and comparing the percentages of white versus pink beans in the sample.

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Answer:

r^1 = -3-square root21/4

r^2 = -3+square root21/4

Step-by-step explanation:

The graph of the function f(x) = -|0.75 + 1.5| has no vertex

From the question, the definition of the function is given as

f(x) = -|0.75 + 1.5|

From the above definition, we can see that:

The expression of the function f(x) has no occurrence of x

i.e. there is no presence of x in the expression -|0.75 + 1.5|

This means that the function is a linear function

Linear functions do not have vertices

Hence, there are no vertices in the function f(x)

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The percentage of American women that have shoe sizes that are at least 11.1 is; 0.0015

Empirical Rule

We are given;

Mean; x' = 8.04

Standard deviation; σ = 1.53

Using the empirical rule, we can have the data either 1, 2, or 3 standard deviations from the mean.

Thus;

At 1 standard deviation from the mean, we have;

8.04 ± 1(1.53)

⇒ (6.52, 8.56)

At 2 standard deviations from the mean, we have;

8.04 ± 2(1.53)

⇒ (5, 11.08)

At 3 standard deviations from the mean, we have;

8.04 ± 3(1.52)

⇒ (3.48, 12.6)

We can see that the one with at least 12,6 is 3 standard deviations from the mean which from the empirical rule is 99.7%

Thus;

percentage of American women have shoe sizes that are at least 12.6 = 100% - 99.7% - 0.15%

P(x ≥ 12.6) = 0.15% = 0.0015

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Answer:

thx this really helps

Step-by-step explanation:

Answer:

Max Area = 105,800 sq.ft

Step-by-step explanation:

A square will always give us the maximum area.

Thus, one side would be;

920/4 = 230 feet

So, we want a square 230 ft by 230 ft

however, from the question, we are to use the creek as one side. So, we'll take the 230 ft that we don't need because of the creek and then add it to the opposite side to get 230 + 230 = 460 ft.

Thus,we now have a rectangle with dimensions: 230 ft by 460 ft

Area is given by;

area = length × width

Maximum Area = 230 × 460

Max Area = 105,800 sq.ft

Answer:

10

Step-by-step explanation:

27-\(3x^{3}\)+(4 x \(2x^{2}\)) - 6

= 27 - 27 + (4 x 4) - 6

= 0 + 16 - 6

= 10

Answer: 10

Step-by-step explanation:

27 - 3^3 + 4 × 2^2 - 6

= 27 - 27 + 4 × 4 - 6 (since 3^3 = 27 and 2^2 = 4)

= 0 + 16 - 6= 10

Therefore, the simplified value of the expression is 10.

Membership to a video game club is $50 a year and $3 per game rented. At the end of the year Harvey had spent $296. he played games had he rented 82 games.

Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.

A set of numbers and operations make up a mathematical expression. The components of a mathematical expression that performs an operation are:

Operands: Operands are the numerical values that are employed in an operation. Different words are given to the operands depending on the type of operation.

Operator: An operator is the symbol used to represent a mathematical operation.

Solving the above;

Membership costs him= $50

Per game rented= $3

Amount he spent = $296

Therefore, Number of games he rented=\(\frac{296-50}{3}\)

                                                                 = 82

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