Time worked Money earned
(x)
(y)
2
18
3
27
5
45
Based on the equation for this table, if Tammy worked for 18 hours last week, how
much money did she make?

The distance between the m = 0 and m = 1 bright fringes is 3.13 mm.

What is fringe?A fringe is an optical interference pattern created by the superposition of light waves that are coherent. When a beam of light falls on a surface with two thin, closely spaced, parallel slits that are illuminated at the same time, the interference pattern is produced. The distance between two adjacent maxima is referred to as the fringe spacing.How to calculate the distance between the m = 0 and m = 1 bright fringes?

Given data:Distance between two slits, d = 2.00 × 10⁻⁵ mWavelength of light, λ = 625 nmDistance between the screen and slits, D = 6.00 mWe can use the formula for the distance between the bright fringes given by:Dx = mλD/dwhere m is the order of the bright fringe and x is the distance between the fringes.Since we are looking for the distance between the m = 0 and m = 1 bright fringes, we can plug in m = 1 and m = 0 in the above formula and find the difference between the two values. Using this method, we get:D1 - D0 = (1 × 625 × 10⁻⁹ × 6)/2 × 10⁻⁵= 1.875 × 10⁻³ m = 1.875 mmThe distance between the m = 0 and m = 1 bright fringes is 1.875 mm.

However, we need to find the distance between the two fringes on the screen, so we need to divide this by two.

Thus, the distance between the m = 0 and m = 1 bright fringes is:Dx = (1.875/2) mm = 0.9375 mm = 3.13 mm (rounded to two significant figures)

Therefore, the required distance between the m = 0 and m = 1 bright fringes is 3.13 mm (rounded to two significant figures).

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Answer:

4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

y²

y = -2

Step 2: Evaluate

Answer:

x = 13

Step-by-step explanation:

The angle adjacent to (2x + 19) on line l is corresponding to (9x + 18) and are congruent.

Then (2x + 19) and (9x + 18) are adjacent angles and supplementary, that is

2x + 19 + 9x + 18 = 180

11x + 37 = 180 ( subtract 37 from both sides )

11x = 143 ( divide both sides by 11 )

x = 13

Answer:

x = 13

Step-by-step explanation:

(9x+18)+ (2x+19) = 180 because they are same side exterior angles

reduce:

11x + 37 = 180

11x = 143

x = 13

check:

9(13) + 18 + 2(13) + 19 = 180

117 + 18 + 26 + 19 = 180

180 = 180

Answer:

I inch per hour for 2 hours = 2 inches

2 inches per hour for 6 hours = 6*2 = 12 inches

1 inch per hour for 1 hour = 1 inch

2+12+1 = 15 inches of snow total

Step-by-step explanation:

credit to: musiclover10045

The quadratic function's domain for a given function is -2<x>2.

What is the Domain of a quadratic function?

Function given \(x=-2(y-2)^2+2\)

The vertices are represented by the vertex form, y = an (x-h)^2+ k, and (h,k).

h=-2

k=+2

It is clear that this parabola has a minimum value of y = -2 and a maximum value of y=+2.

The quadratic function's domain for a given function is -2<x>2.

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Answer:

16777216

Step-by-step explanation:

I used a calculator duh

4 x 9 + 4 x 3 =

36 + 12 =

48

If * = to the power of, here you go,

16777216

Hope that helps!

To find the difference between the amounts of milk the Wells family and the McDonald family drink in one week, we need to convert the measurements to the same unit.

Since the Wells family drinks 8.5 gallons per week, we can convert this to liters by multiplying it by the conversion factor of 3.78541 (1 gallon = 3.78541 liters). So, the Wells family drinks approximately 32.1767 liters per week.On the other hand, the McDonald family drinks 1.1 gallons of milk each day. To calculate the amount in liters per week, we need to multiply it by 7 (number of days in a week) and then by the conversion factor of 3.78541. Thus, the McDonald family drinks approximately 34.2857 liters of milk per week.To find the difference, we subtract the amount the Wells family drinks from the amount the McDonald family drinks: 34.2857 - 32.1767 = 2.109 liters.

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Answer:

x = 7

Step-by-step explanation:

3x - 5 = 16

3x = 16 + 5

3x = 21

x = 21/3

x = 7

The ratio of the perimeter of the smaller triangle to the perimeter of the larger triangle is  1.2:1

To calculate the perimeter ratio of the smaller triangle to the bigger triangle, compare the corresponding sides of the two triangles.

The scale factor of similarity is equal to the ratio of equivalent sides of similar triangles.

In this situation, the smaller triangle's longest side is 15, and the larger triangle's longest side is 18. Divide the length of the longest side of the larger triangle by the length of the longest side of the smaller triangle to find the scale factor of similarity.

The scale factor is 18/15 = 1.2.

The similarity scale factor is 1.2.

The scale factor is equal to the ratio of the perimeters of the two triangles. Therefore, the ratio of the perimeter of the smaller triangle to the perimeter of the larger triangle is:

Ratio = 1.2

So, the correct option is 1.2:1.

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Given data:

The list and the measurment of ingredients used to make 16 brownies is as follows.

Butter = 2/3 cups.

unsweetended choclolate = 5 ounces.

sugar = 1 1/2

vanilla = 2 tablespoons.

egg = 2

flour = 1 cup

to find the recipe, ingredients used to make 8 brownies.

Reduce the measure by half,. that is dividing it by 2.

thus,

Butter =1/3

unsweetended choclolate= 2.5 ounces

sugar = 3/4 cup

vanilla = 1 tablespoon.

egg =1

flour= 1/2 cup.

Answer:

This equation is unsolvable, You may have inputted it wrong. revise and try again.

Step-by-step explanation:

Answer: I believe it would be 25 minutes

Step-by-step explanation: longest amount of time minus shortest amount of time.

Answer:

I'm guessing you want how many liters of paint she used?

she used 24 liters of paint to paint her fence.

Step-by-step explanation:

theres 6 cans

4 liters in each can

6×4=24

Answer:

The jump rope cost $8.79 before the sale.

Step-by-step explanation:

She spent 15.08 on 2 while they were on sale. I divided 15.08 by 2 to find what each one cost individually on sale, which is $7.54. Then add $1.25 to $7.54= $8.79

What is Function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

If each input value has one and only one output value, then a relation is by definition a function.

A function must have both an independent and at least one dependent variable. For instance, assuming a function:

"Y" stands for the dependent variable, and "x" stands for the independent variable.

The set of potential input values is known as the function's domain, while the set of potential output values is known as the range.

The slope of vertical lines is unknown. A vertical line is not an illustration of a functional connection because "x" is constant.

For horizontal lines, any x-value results in the same y-value. They are referred to as "Constant functions."

Accordingly, the following claims are accurate:

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The statement is false. A process chart is a graphical tool used to monitor processes in production and service industries. The average process performance and the upper and lower limits are calculated and displayed on an X-bar chart, which is a common process chart.

An \( \bar{X} \) chart is NOT used to track a process with binary outcome variables. The statement is false.

Explanation: A process chart is a graphical tool used to monitor processes in production and service industries. The average process performance and the upper and lower limits are calculated and displayed on an X-bar chart, which is a common process chart. The values for a variable can be collected and analyzed using process charts. An \( \bar{X} \) chart, commonly known as an x-bar chart, is used to monitor a process with continuous numerical data. A binary outcome variable, on the other hand, has only two possible outcomes (e.g., yes/no, pass/fail, etc.). As a result, binary data is unsuitable for an \( \bar{X} \) chart, which is only used to monitor continuous numerical data.

Variables are values that may be altered in a process, which can affect its results. Variables may be categorized as continuous or discrete, depending on whether they can be measured or counted. Discrete variables, such as the number of employees working on a task or the number of items produced in a process, are quantifiable and can be measured precisely. Continuous variables, such as the temperature, length, or weight, can take on any value over a range and are therefore less specific. The reasons for holding inventory include serving as a buffer against uncertainties, ensuring product availability and preventing stockouts, reducing lead times and transportation costs, taking advantage of discounts and bulk purchasing opportunities, and providing a hedge against inflation and price fluctuations.

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the line's equation, written in standard form as 2x + 3y = 4, is y=-2/3x+4.

A linear equation is an algebraic equation of the form ax + by = c, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given a linear equation  y= -2/3x + 4

from the general formula of standard form

The standard form for linear equations in two variables is Ax+By=C.

From equation 1

y = -2/3x + 4

multiply by 3 on both sides

3y = -2x +4

Taking variable terms on one side

2x + 3y = 4

therefore,  the equation of the line represented by y=-2/3x+4 in standard form as 2x + 3y = 4.

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Answer:

It's a scalene triangle

Step-by-step explanation:

44° and 92°, use a protractor. None of the sides are equal; which is a scalene triangle's most stood out trait.

Warning: This may not fully be correct, I'm also a student, I can make mistakes. I hope this is the information you needed. Again, I'm sincerely sorry if I gave you the wrong info.

Answer:

y=-5/2*X-3

Step-by-step explanation:

A system has no solutions the lines are parallel

● < P=R " angles opp =sides"

●PQ =QR " Angles opposite = sides"

therefore PQR is an isosceles " 2 opp angles and sides are equal "

Answer:

( (- 2, 0 ) ; (1, 0 ) )

Step-by-step explanation:

f(x) = x² + x - 2

to find the solutions let f(x) = y = 0

then from the table of values we can see that when y = 0 , x = - 2 and x = 1

corresponding solutions in coordinate form are therefore

( (- 2, 0 ); (1, 0 ) )

1/3 + 1/3 is 2/3 bc the denominator always stays the same but you always add the numerator so that us 2/3 and you do the same with the others

Completed table is shown below. With this h number, we can calculate the cone's volume as V = (1/3)(72)h\(\pi\) = 49/3h\(\pi\) = 6\(\pi\)h = 131.88.

To complete the table relating the height and volume of cones with a radius of 7 units using the equation\(v = 6\pi h\), we need to substitute the radius value of 7 units into the formula for volume and then solve for height.

Height (h) Volume (V)

1                  131.88

2                  263.76

3                  395.64

4                  527.52

5                  659.4

To obtain volume for each height, we plug in radius value of 7 units into the formula for the volume of a cone, which is given by \(V = (1/3)\pi r^{2} h\). This gives us \(V = (1/3)\pi (7^{2} )h = 49/3\pi h\),

which simplifies to V = 16.33h. Then we substitute this expression for V into given equation \(v = 6\pi h\) to obtain \(16.33h = 6\pi h\), and solve for h to obtain h = 6.56.

Using this value of h, we can obtain the volume of the cone as \(V = (1/3)\pi (7x^{2} )h = \\49/3\pi h = \\6\pi h = \\131.88\)

After that, by multiplying the value of h by 16.33 and rounding to two decimal places, we can determine the volumes for the other heights in the table.

Therefore, the completed table is as shown above.

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A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.

z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)

Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.

B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.

The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm

Now we can calculate the z-score for a mean length of 122 cm:

z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)

Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.

C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.

Probability = (0.9999)^3 ≈ 0.9997

Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.

Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.

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If researchers report that the results from their study were significant, p < .05, this means that we would expect the results to occur by chance less than 5 times out of 100.

When researchers report that the results from their study were significant, p < .05, it means that we would expect the results to occur by chance less than 5 times out of 100. This threshold is commonly used in statistical hypothesis testing.

In statistical hypothesis testing, the p-value represents the probability of obtaining results as extreme as the observed results, assuming that the null hypothesis is true. If the p-value is less than the predetermined significance level of .05 (or 5%), it is considered statistically significant. This means that the observed results are unlikely to have occurred by chance alone, and there is evidence to support the alternative hypothesis.

Therefore, option D, "We would expect the results to occur by chance less than 5 times out of 100," is the correct interpretation of reporting significant results with p < .05.

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Answer:

m CAD is 41°

Step-by-step explanation:

The angles in a rectangle are 90 degrees each as the sides are perpendicular. A such, given that mzBAC = (4x + 5)º and m CAD = (5x - 14)°, then

4x + 5 + 5x - 14 = 90

Rearrange the equation

4x + 5x + 5 - 14 = 90

9x - 9 = 90

Collect like terms

9x = 90 + 9

9x = 99

Divide both sides by 9

x = 99/9

= 11

Recall that  m CAD = (5x - 14)°

Substitute the value of x into the expression

Hence

m CAD = (5*11 - 14)°

= (55 - 14)°

= 41°