An employee at a nuclear power plant in New York has an annual salary of $143000 and is paid every two weeks. The employee works twenty days in a month, five days in a week, and eight hours in a day. (Assume 52 weeks in a year). What is the employee's hourly rate of pay? a 12483 b) 537,24 c 168.75 d. $3438

Given:

Required:

To find the value of nr.

Explanation:

The Snell's law is

Answer:

B. Decreases

It’s B because as x gets larger the value of Y will become smaller.

Answer:

Step-by-step explanation:

Numbers are x and y, equations below:

Substitute x in the first equation:

Solve for y:

Find x:

All of the following are measures of central tendency except the range.

The range is a measure of dispersion, representing the difference between the largest and smallest values in a dataset. It provides information about the spread or variability of the data but does not provide information about the central tendency.

On the other hand, measures of central tendency are statistical measures that aim to summarize the center or typical value of a dataset. They include the mode, median, and mean.

The mode represents the most frequently occurring value(s) in the dataset.

The median is the middle value when the data is arranged in ascending or descending order. It divides the dataset into two equal halves.

The mean is the arithmetic average of all the values in the dataset. It is calculated by summing all the values and dividing by the total number of values.

Therefore, option C, range, is not a measure of central tendency as it focuses on the spread or dispersion of the data rather than summarizing the central or typical value.

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The domain of the graphed function is D. 0≤x≤ 12, where x is all non-negative integers

From the given context, it appears that you're trying to determine the domain of a function that represents the earnings of a Math Club Car Wash event, based on the number of cars washed.

So, the domain would be non-negative integers.

The range of a function encompasses all potential values that can be utilized as input (typically denominated as 'x') for the function.

Assuming that 'x' refers to the number of cars cleaned, 'x' must exclusively be a whole number greater than or equal to zero since washing a negative number or a fraction of a car is not possible.

In your options, choice D. "0≤x≤ 12, where x is all non-negative integers" seems to be the best fit. It suggests that the number of cars washed ranged from 0 to 12, and only whole numbers (non-negative integers) were considered.

Therefore, the answer would be option D.

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In one sweep, the area covered by the sprinkler is 77.19 sq ft (approx). The area of the lawn, to the nearest square foot, that receives water from this sprinkler is 616 sq ft (approx).

We know that a rotating sprinkler can reach up to 14 feet through a 300-degree angle. Area covered by the sprinkler in one sweep = area of the sector whose radius = 14 feet and angle = 300°Area of sector = (θ / 360) × πr²Where θ = 300°, r = 14 ftArea of sector = (300/360)× π(14)²= 77.19 sq ft (approx) Therefore, the area covered by the sprinkler in one sweep is 77.19 sq ft (approx).

We need to find the total area of the lawn that receives water from this sprinkler. The sprinkler rotates 360 degrees, so it will cover a full circle whose radius is 14 feet. Area of a circle = πr²= π(14)²= 615.752 sq ft (approx) Therefore, the area of the lawn, to the nearest square foot, that receives water from this sprinkler is 616 sq ft (approx).

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The probability that the mean number of daily emergency admissions is between 75 and 95 is approximately 0.8990.

To find the probability that the mean number of daily emergency admissions is between 75 and 95, we can use the Z-score formula for sample means: Z = (X - μ) / (σ / √n), where X is the sample mean, μ is the population mean, σ is the standard deviation, and n is the sample size.

First, calculate the Z-scores for both 75 and 95:
Z_75 = (75 - 85) / (37 / √30) ≈ -1.62
Z_95 = (95 - 85) / (37 / √30) ≈ 1.62

Now, use a Z-table to find the probabilities corresponding to these Z-scores. P(Z ≤ 1.62) ≈ 0.9474 and P(Z ≤ -1.62) ≈ 0.0526.

Finally, subtract the probabilities to find the probability between the two Z-scores:
P(-1.62 ≤ Z ≤ 1.62) = P(Z ≤ 1.62) - P(Z ≤ -1.62) ≈ 0.9474 - 0.0526 ≈ 0.8948

Among the given answer choices, the closest value is 0.8990.

Therefore, the probability that the mean number of daily emergency admissions is between 75 and 95 is approximately 0.8990.

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Answer:

3645

Step-by-step explanation:

65610/18=3645

The answer is: a = -75/4.

To solve the following equation: 8/5 a = -6, we need to get a alone on one side of the equation. The first step is to multiply both sides by the reciprocal of the fraction in front of a, which is 5/8.8/5 a * 5/8 = -6 * 5/88a/40 = -30/8

We can simplify the right side by dividing both the numerator and denominator by their greatest common factor, which is 2.8a/40 = -15/4

Now, we can simplify the left side by dividing both the numerator and denominator by their greatest common factor, which is 8.1a/5 = -15/4

Next, we want to get a alone on one side of the equation, so we'll multiply both sides by the reciprocal of the fraction in front of a, which is 5/1.1a/5 * 5/1 = -15/4 * 5/1a = -75/4

So, The final answer is a = -75/4.

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Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

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

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

Answer:

Budget= $1,100

Step-by-step explanation:

Giving the following information:

They spent $737 on equipment and 33% of the total budget on costumes.

If they spent all their budget on equipment and costumes, then the percentage spent on equipment was 67% (100 - 33).

Then, to calculate the total budget, we need to use the following formula:

Budget= 737 / 0.67

Budget= $1,100

Answer:

You can graph them on desmos and see which is a linear (literally looks like a line)

Step-by-step explanation:

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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Answer:

A conditional statement is something like:

If P, then Q.

P = hypothesis.

Q = conclusion.

In this case, we have:

"If a polygon is a quadrilateral, then it is a square".

1) The hypothesis is: a polygon is a quadrilateral

2) The conclusion is:  it is a square

3) It is not true, because there are other quadrilaterals that are not squares, for example, the rectangles.

4) The inverse of a conditional statement is (using the same notation than above)

If not P, then not Q.

In this case is:

"If a polygon is not a quadrilateral, then it is not a square"

(this is true)

5) A converse statement is:

If Q, then P

In this case is:

"if it is a square, then the polygon is a quadrilateral"

(Also true)

6) A biconditional statement is written as:

P if and only if Q.

In this case is:

A polygon is a quadrilateral if and only if it is a square.

(This is false)

Answer:

x = 60

y = 50

Explanation:

in a triangle, the sum of all its angles should be 180°. so, to find x, we can subtract the known values from 180° like this:

180° - 50° - 70° = 60°

thus, x is 60.

using the same method, we can find the remaining angle of the other triangle:

180° - 50° - 60° = 70°

now, we know the values of x and the angle next to it. on a straight line, the sum of angles also adds up to 180°. therefore:

180° - 60° - 70° = 50°

i hope this helps! :D

Answer:

C

Step-by-step explanation:

Connor's 58 comic books subtracted by Drew's 31 is 27. Which means to have more than Connor's has to be more than 27 which is at least 28.

Rounding to the nearest tenth of a foot, the ramp length is 150.7 feet.

To find the length of the ramp, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the ramp) is equal to the sum of the squares of the other two sides (the rise and the run).

We have the rise (15 feet) and the run (150 feet), so we can use the formula: ramp length = √(rise^2 + run^2)

Plugging in the values, we have: ramp length = √(15^2 + 150^2) = √(225 + 22500) = √22725 = 150.7 feet

Therefore, rounding to the nearest tenth of a foot, the ramp length is 150.7 feet.

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Answer:

\( \longmapsto4 \sqrt{3} + 2 \sqrt{6} .\)

Step-by-step explanation:

\(\sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}}}\)

By Rationalizing the denominator:-

\( = \sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}} \times \dfrac{2 + \sqrt{2}}{2 + \sqrt{2}}}\)

\( = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{(2)^2 - (\sqrt{2})^2}}\)

\( = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{4 - 2}}\)

\( = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{2}}\)

\( = \sf{\dfrac{\not{4}\sqrt{3}(2 + \sqrt{2})}{\not{2}}}\)

\( = \sf{2\sqrt{3}(2 + \sqrt{2})}\)

\( = \sf{4\sqrt{3} + 2\sqrt{6}}\)

\( \therefore \sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}} = 4\sqrt{3} + 2\sqrt{6}}\)

The greatest common factor being 12, the difference between the two values is 12.

What is GCD?

The greatest common divisor (GCD) from mathematics is the largest positive integer that splits each of two or more non-zero integers.

The symbol gcd stands for the greatest common divisor of the two integers x and y.

For instance, gcd(8,12)=4 is the GCD of the numbers 8 and 12.

According to the given question:

The greatest common factor of 48 and z, some unknown positive integer, is 12. There are two possible values for z between 10 and 30.

Now there are only two numbers between 10 and 30 which has a factor of 12.

The numbers are 12 and 24.

Hence the difference between these two numbers is 24 - 12 = 12

Therefore the required value is 12.

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The instructional context can greatly impact learning with educational technology. In a study with a digital learning game, it was found that the instructional context influences student engagement and motivation. This, in turn, affects their learning outcomes.

The study examined the design of the game, the teacher's role, and the classroom environment. By optimizing these factors, the researchers found that students were more likely to be actively engaged and achieved better learning outcomes.

Therefore, the instructional context plays a crucial role in leveraging the potential of educational technology for effective learning.

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Answer:

Step-by-step explanation:

Given

Solving for y

Answer:

When you get your blood pressure numbers, there are two of them. The first, or “top” one, is your systolic blood pressure. The second, or “bottom,” one is diastolic blood pressure.

Step-by-step explanation:

The number 4.930 × 104 m has five significant figures. This can be determined by counting the digits that are not zeros.

A significant figure is a digit that contributes to the accuracy of the measurement. In this number, the digits 4, 9, 3, and 0 all contribute to the accuracy of the measurement, so they are all significant figures. The number 4.930 × 104 m has five significant figures. This can be determined by counting the digits that are not zeros. The number 104 is not a significant figure, as it is a multiplier and does not contribute to the accuracy of the measurement. Therefore, the total number of significant figures in 4.930 × 104 m is five.

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Answer:

750 ft

Step-by-step explanation:

1) (a) The transformations that occur from the parent function are horizontal translation of 2 units to the left and vertical translation of 4 units to the down.

(b) (-2, -4)

(c) Graph is given below.

1) Given a function,

g(x) = (x + 2)² - 4

(a) Given a parent function p(x) = x².

We can write g(x) as,

g(x) = p(x + 2) - 4

So the transformation is horizontal translation of 2 units to the left and vertical translation of 4 units to the down.

(b) Vertex formula of a parabola is,

y = a (x - h)² + k, where (h, k) is the vertex.

Comparing the given function with vertex form,

Vertex of the parabola = (-2, -4)

(c) Graph of g(x) will be a parabola with vertex at (-2, -4).

It is given below.

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Answer:

y = -3x + 2

Step-by-step explanation:

To find the slope of an equation you can do (y2-y1)/(x2-x1). Plug the values in from the equation and you get (-1+7)/(1-3), or 6/-2. This means the slope is -3. Then you plug the values of y and x into an equation y = -3x + b, and you get -1 = (-3)1 + b. Solve for b. -1 = -3 + b, (add 3 to each side) 2 = b. Then plug b back into your equation and you get y = -3x + 2

Answer:

-3x+2=y

Step-by-step explanation:

u need to find the slope intercept formula which mx+b=y

m=slope

b=y-intercept

first u should find the slope which is y2-y1/x2-x1

point 1:(1,-1)

point 2:(3,-7)

-7+1/3-1=-6/2=-3

m=-3

now replace the variables

-3(1)+b=-1

-3 times 1=-3

-3+b=-1

add 3 to both sides

b=2

now the equation is -3x+2=y

The precision of the estimate decreases when standard error of an estimate when the sample size in a SRS decreases. So, the correct answer is D).

The standard error of an estimate measures the variability of sample means around the population mean. As the sample size in a simple random sample (SRS) decreases, the sample mean becomes less representative of the population mean, resulting in more variability or less precision in the estimate.

The standard error increases as the sample size decreases because there is more uncertainty in the estimate due to the smaller sample size. Therefore, decreasing the sample size will increase the margin of error and decrease the precision of the estimate. So, the correct option is D).

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The correct way to measure the zone of inhibition is to place a known amount of an antimicrobial agent on a solid medium.

Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.

The zone of inhibition is then measured as the area surrounding the antimicrobial agent where microbial growth has been inhibited. This area is typically measured in millimeters. To accurately measure the zone of inhibition, it is important to ensure that the size of the inoculum and the amount of antimicrobial agent used remain constant. Additionally, it is important to consider the type of organism being studied, as different organisms can have different levels of susceptibility to the antimicrobial agent. Finally, the medium used should be appropriate for the organism being studied, as different media can produce different results.

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