how do I use order of operations

Answer:

   1. Gross pay = hourly rate x hours worked

   Gross pay = $14 x 32 = $448

   2. Net pay = gross pay - deductions

   Federal taxes = 10% of gross pay = 0.1 x $448 = $44.80

   State taxes = 4.5% of gross pay = 0.045 x $448 = $20.16

   FICA = 6% of gross pay = 0.06 x $448 = $26.88

   Total deductions = $44.80 + $20.16 + $26.88 = $91.84

   Net pay = $448 - $91.84 = $356.16

   3. Gross pay = hourly rate x hours worked

   Gross pay = $17 x 40 = $680

   4. Regular pay = hourly rate x hours worked

   Regular pay = $20 x 40 = $800

   Overtime pay = (hourly rate x 1.5) x overtime hours

   Overtime pay = ($20 x 1.5) x 5 = $150

   Gross pay = regular pay + overtime pay

   Gross pay = $800 + $150 = $950

   5. Net pay = gross pay - deductions

   Federal taxes = 14% of gross pay = 0.14 x $950 = $133

   State taxes = 4.5% of gross pay = 0.045 x $950 = $42.75

   FICA = 6% of gross pay = 0.06 x $950 = $57

   Total deductions = $133 + $42.75 + $57 = $232.75

   Net pay = $950 - $232.75 = $717.25

Step-by-step explanation:

The expression in terms of cosine is (1 - cos^2(x))^2

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

sin^4(x)

This can be expressed as

sin^4(x) = (sin^2(x))^2

As a general rule:

sin^2(x) = 1 - cos^2(x)

Using the above as a guide, we have the following equation

sin^4(x) = (1 - cos^2(x))^2

Hence, the solution is (1 - cos^2(x))^2

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The angular motion of the second hand is 720 h , we also have to know the meaning of angular motion.

The body moving along the curved path at a constant angular velocity can be used to describe the angular motion.

As there are 12 hours on a clock, every hour means 360/12 = 30° rotation for the hour hand.

so, for each hour the second hand moves 21600°.

that means 21600/360 = 60 full rotations.

that means one rotation of the second hand is 1 minute.

so, the second hand is truly a second hand (counting the seconds).

60 seconds in a minute (a full rotation by the second hand), that means each second corresponds to 360/60 = 6° rotation of the second hand.

[tex]the \ ratio \ is\ \frac{30}{21600} = \frac{3}{2160} = \frac{1}{720}[/tex]

that means for every degree the hour hand moves, the second hand does 2 full rotations (2×360°).

h = s×30/21600 = s/720

s = 720 h.

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Using a protractor and a ruler we drew a triangle with a side length of 4 inches that is between angles of 50 and 65 as shown in the figure.

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. The total of a triangle's three sides is the perimeter of the triangle. The space a triangle occupies is known as its area. The area is obtained by taking half of the product of base and altitude.

Now we are asked to draw a triangle with a side length of 4 inches that is between angles of 50° and 65°.

First, let us mark the 50° angle.

Draw a straight line of 4 inches using the ruler as the base.

Keep the protractor on top at one of the ends of the line.

Mark the 50° angle.

Draw a straight line passing through the marked point using the ruler.

Now move the protractor to the other end of the line.

Mark the angle 65°.

Draw a straight line passing through the marked point using the ruler until it meets the 50° angle line.

This is a triangle with angles of 50 and 65 degrees.

Therefore, using a protractor and a ruler we drew a triangle with a side length of 4 inches that is between angles of 50 and 65 as shown in the figure.

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Looking at the table again, we can see that f(4) is -6. Thus, f (g(2)) is -6.

Value is the worth of something, based on its importance, usefulness, or desirability. It is something that has a desired quality, such as excellence, utility, or desirability. Value can be physical, such as a commodity, or intangible, such as respect, loyalty, or knowledge. Value is determined by both the individual and the society in which they live. Value can be assigned to both tangible and intangible things, such as a house, an education, or a friendship. Value is a subjective measure and can vary greatly from person to person.

The answer is -6. To evaluate f (g(2)), we need to determine what g(2) is first. Looking at the table, we can see that g(2) is 4. Therefore, we need to find the value of f(4). Looking at the table again, we can see that f(4) is -6. Thus, f (g(2)) is -6.

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Answer:

y= -2

X= 7

[tex]using \: elimination \: method \\ x + 3y = 1 \\ - 3x - 3y = - 15 \\ add \: the \: two \: equations \\ - 2x = - 14 \\ divide \: both \: sides \: by \: 2 \\ x = 7 \\ replace \: x \: with \: 7 \: to \: find \: value \: of \: y \\ (7) + 3y = 1 \\ y = - 2[/tex]

For the given information, the standard deviation are 30 and 103.25 respectively.

What is standard deviation?

The standard deviation measures the amount of variability or dispersion in the data set. It is the square root of the average of the squared deviations from the mean.

We can use the properties of a normal distribution to find the values given their distance from the mean. In particular, we can use the standard deviation to determine how far a given value is from the mean in terms of the number of standard deviations.

For the set of data with a mean of 45 and a standard deviation of 5:

A value that is 1 standard deviation above the mean is at 45 + 5 = 50

A value that is 2 standard deviations above the mean is at 45 + 2(5) = 55

A value that is 3 standard deviations below the mean is at 45 - 3(5) = 30

For the set of data with a mean of 90 and a standard deviation of 3.5:

A value that is 1 standard deviation above the mean is at 90 + 3.5 = 93.5

A value that is 2 standard deviations below the mean is at 90 - 2(3.5) = 83

A value that is 3.5 standard deviations above the mean is at 90 + 3.5(3.5) = 103.25

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By answering the supplied question, we may infer that the response is standard deviation As a result, 95% of requests for lightbulb replacements with a total number between 38 and 54 are in this range.

A statistic known as standard deviation may be used to indicate the variation or variability of a set of statistics. A low standard deviation means that the values tend to be closer to the established mean whereas a large standard deviation shows that the values are widely spread. The standard deviation serves as a gauge for how far the data are from the mean (or ). The data tend to cluster around the mean when the standard deviation is low, and are more scattered when the standard deviation is high. Standard deviation is a measurement of the data set's average variability. It displays the standard deviation of each score with respect to the mean.

The rule states approximately:

One standard deviation from the mean is shared by 68% of the requests.

The average request is within two standard deviations in 95% of cases.

The average request falls within three standard deviations in 99.7% of cases.

a mean three standard deviations away:

38 8 = 30 to 46 with one standard deviation

two standard deviations: 22 to 54 for 38 2(8)

38 3(8) = 14 to 62 for three standard deviations

We know that almost 95% of the requests fall within this range since we are interested in the proportion of requests between 38 and 54, which is within two standard deviations of the mean. As a result, 95% of requests for lightbulb replacements with a total number between 38 and 54 are in this range.

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Answer: This is for college? lol the answer should be $2.75

Step-by-step explanation:

45.50-42.75= 2.75

The equation -cd is always defined, regardless of the values of the variables c and d.

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

We are given that;

The equation cd

Now,

The equation -cd is always defined, regardless of the values of the variables c and d.

The expression -cd represents the product of two numbers, -c and d. Multiplication is a well-defined operation for all real numbers, including zero. so, neither c nor d need to be non-zero for the expression to be defined.

Therefore, the equation -cd is defined for all values of a, b, c, and d, including zero

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Answer:

Below

Step-by-step explanation:

sqrt(5x) * sqrt(x+3)  = sqrt ( 5x * x + 5x * 3) = sqrt ( 5x^2 + 15x)

The number of students who would be there are 24 students .

The number of both students and chaperones on the trip are 28 in number. Again , this is both the chaperones and the students .

There are 4 chaperones according to the question . So to find the number of students on the field trip, the formula would be :

= Total number of both students and chaperones - Total number of chaperones

= 28 - 4

= 24 students

The number of students who would be on the field trip is 24 students .

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Answer:

f(x) /x-3

Step-by-step explanation:

The table of values for the equation of line y = ( -3/4 )x + 3 is given by

x = { -4 , 0 , 4 , 8 }

y = { 6 , 3 , 0 , -3 }

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = ( -3/4 )x + 3

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope m = -3/4

when x = -4

y = ( -3/4 ) ( -4 ) + 3

y = 3 + 3

y = 6

when x = 0

y = ( -3/4 ) ( 0 ) + 3

y = 0 + 3

y = 3

when x = 4

y = ( -3/4 ) ( 4 ) + 3

y = -3 + 3

y = 0

when x = 8

y = ( -3/4 ) ( 8 ) + 3

y = -6 + 3

y = -3

Hence , the table of values are x = { -4 , 0 , 4 , 8 } and y = { 6 , 3 , 0 , -3 }

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The actual amount the salesman pays for an article with a marked price of N950.00 is N2,312.50.

Amount is a word used to refer to a quantity or amount of something. It can also be used to refer to the total sum of money, goods, or services due for payment or exchange. It can also refer to the balance of money or goods due for payment or exchange. Amount is also used to refer to the size, extent, or magnitude of something.

To calculate this amount, we first need to calculate the amount of discount the salesman is offering. This is calculated by taking the marked price and multiplying it by the discount percentage: N950.00 x 125% = N1,187.50. Then, we subtract this discount amount from the marked price: N950.00 - N1,187.50 = N2,312.50. This is the actual amount the salesman pays for the article.

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The surface area of this cylinder will be 80π ft².

What is Total surface area ?

Total surface area is the total area, which includes the curved portion and any bases. It refers to the entire surface area of the thing. The total area will be equal to the sum of the two areas if the shape has a curved base and surface.

Given : height of cylinder = 3 ft

          radius of base of cylinder = 5 ft

We know that, Total surface area of cylinder = 2πrh + 2πr²

                                                                          = 2πr(h+r)

So, The surface area of given cylinder =  2π × 5 ( 3+5)

                                                                 = 10π (8)

                                                                 = 80π ft²

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For the 4.6 yards of fabric, she should use 9/2, and for the 1.83 feet of cording, she should use 9/5.

A fractional number is any numerical value that is not a whole number. It is a number that has been divided into two or more equal parts, such as 1/2, 3/4, 5/8, and 7/16. Fractional numbers are also known as rational numbers.

Yvette needs 4.6 yards of fabric for her blanket. She can convert this decimal measurement into a fraction by dividing the decimal by 1. This yields 4.6/1 or 46/10.

Yvette also needs 1.83 feet of cording for the border of her blanket. She can convert this decimal measurement into a fraction by dividing the decimal by 1. This yields 1.83/1 or 183/100.

To make sure she has the right amount of materials, Yvette should use the numbers from the box to write each measurement as a fraction. For the 4.6 yards of fabric, she should use 9/2, and for the 1.83 feet of cording, she should use 9/5. By writing the measurements as fractions, Yvette can be sure to have the right amount of fabric and cording for her project.

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Question: 'Yvette is making blanket: She is going to the craft store for supplies. She wrote her measurements as decimals. Yvette needs 4.6 yards of fabric: She also needs 1.83 feet of _ cording for the border: Use numbers from the box to write each measurement as a fraction. yards of fabric: feet of cording: " 90'

C. During the observation period, period A's plant grew twice as quickly as period B's.

Graphs are a not unusual place technique to visually illustrate relationships withinside the statistics. The reason for a graph is to provide statistics that are too severe or complex to be defined appropriately withinside the textual content and in much less space.

Given, Mrs. Walker's Period A and Period B Biology classes each grew a plant and recorded the heights

from the graph. at the start of the observation period, Period A's plant was as tall as Period B's. So, A and B are wrong.

during the observation period, Period A's plant grew twice as quickly as Period B's.

C is right, and D is wrong

So, the answer is C.

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Complete question:

Answer:

8 3/4

Step-by-step explanation:

1 + 7 3/4 = 8 3/4 bbbbbbbbbbbbbb

The correct students are Nico, Aditi, and Erick.

What is equation?

An equation is a formula that uses the equals sign to connect two expressions to show that they are equal.

The correct approaches to solving the equation are those that lead to the correct solution. We can check which students are correct by solving the equation and seeing if their approach leads to the correct answer.

Two-fifths (5 + x) = 8

Multiplying both sides by 5 gives:

5/5 * two-fifths (5 + x) = 5/5 * 8

One-fifth (5 + x) = 8/5

One-fifth (5) + One-fifth x = 8/5

1 + One-fifth x = 8/5

Subtracting 1 from both sides gives:

One-fifth x = 3/5

Multiplying both sides by 5 gives:

x = 3

So the solution is x = 3.

From the given approaches, Nico, Aditi, and Erick are correct. Their approaches are equivalent to the correct approach:

Two-fifths (5 + x) = 8

(5/2) * two-fifths (5 + x) = (5/2) * 8

(5/2) * (5/5 + x/5) = 20/5

5/2 + (5/2)x/5 = 4

5/2 + x/2 = 4

x/2 = 3/2

x = 3

Raj and Sandra's approaches are not correct, as they made errors in their calculations. Therefore, the correct students are Nico, Aditi, and Erick.

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The common factor of the trinomials x² - 7x - 18 and x² + 14x + 24 is (x + 2).

The above polynomials are trinomials. A trinomial is a polynomial with three terms. Let's factor the trinomials and find what they have in common.

Hence,

James factors x² - 7x - 18.

x² - 7x - 18

x² + 2x - 9x - 18

x(x + 2) - 9(x + 2)

(x - 9)(x + 2)

Kaitlin factors x² + 14x + 24.

Hence,

x² + 14x + 24

x² + 2x + 12x + 24

x(x + 2)+ 12(x + 2)

(x +2)(x + 12)

Therefore, the common factor is (x + 2)

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Answer:

Jose can buy 0.086 shares at $15.88 with his dividend of $1.36 on each of his 398 shares.

Step-by-step explanation:

The three fraction are:

A) -1/2 and 1/2

C) -3/4 and 4/3

E) 1/4

What is expression?

One or more variables or numbers are combined with one additional action to form an expression.

To answer this question, we need to evaluate the given expression:

-1/4

This is a fraction with a negative numerator and a positive denominator. It represents a number that is less than zero, but closer to zero than to negative one.

To choose three answers from the options provided, we need to look for fractions and numbers that are close in value to -1/4.

Here are three possible answers:

Therefore, the three answers are:

A) -1/2 and 1/2

C) -3/4 and 4/3

E) 1/4

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Answer:

96in²

Step-by-step explanation:

64+((4*8/2)*2)=96in²

Answer:

[tex]\frac{7}{2}[/tex] π

Step-by-step explanation:

To find the arc length of the partial circle, you have to find a fourth of the circumference

C = [tex]\frac{1}{4}[/tex] πd - Formula

C = [tex]\frac{1}{4}[/tex] 14π - Plug in values

C = [tex]\frac{14}{4}[/tex] π - Simplify/Solve

C = [tex]\frac{7}{2}[/tex] π

Jolie's working time increased by 20 %

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Given that, Jolie’s time at work increases from 25 hours per week to 30 hours per week, we need to find that by  what percentage did the time at work per week increase,

Using the concept of percentage,

Initial working hours = 25 hours per week

Final working hours = 30 hours per week

Increased hour = 30 - 25 = 5 hours

Percentage increased = 5 / 25 x 100 = 20%

Hence, Jolie's working time increased by 20 %

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Using trigonometric identity,  the exact value of sin(A + B) in simplest radical form is 17√5 / 25√13.

We can use the trigonometric identity for the sine of the sum of two angles:

sin(A + B) = sin(A)cos(B) + cos(A)sin(B)

We know that Tan A = 8 and that angle A is in quadrant 1. We can use the fact that Tan A = sin(A)/cos(A) to find sin(A) and cos(A)

[tex]Tan A = sin(A)/cos(A)\\sin(A) = Tan A * cos(A) = 8 * (1 / \sqrt(1 + Tan^2 A)) = 8 / \sqrt(65)\\cos(A) = 1 / \sqrt(1 + Tan^2 A) = 1 / \sqrt(65)[/tex]

We also know that sin B = 1/sqrt(5). Since angle B is in quadrant 1, we can use the Pythagorean identity cos^2(B) + sin^2(B) = 1 to find cos(B):

[tex]cos(B) = \sqrt(1 - sin^2(B)) = \sqrt(1 - 1/5) = 2\sqrt(5) / 5[/tex]

Now we can substitute these values into the formula for sin(A + B):

sin(A + B) = sin(A)cos(B) + cos(A)sin(B)

[tex](8 / \sqrt(65)) * (2\sqrt(5) / 5) + (1 / \sqrt(65)) * (1 / \sqrt(5)) = (16\sqrt(5) + 1) / (5\sqrt(325))[/tex]

We can simplify this fraction by multiplying the numerator and denominator by √5:

[tex]sin(A + B) = ((16\sqrt(5) + 1) / (5\sqrt(325))) * (\sqrt(5) / sqrt(5))\\ = (16\sqrt(5) + \sqrt(5)) / (25\sqrt(13))\\ = (17\sqrt(5)) / (25\sqrt(13))[/tex]

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The center of this circle is (-2,2) and its radius is 2.

It is required to find the center and radius of the circle.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

here, we have,

Given that: (x + 2)² + (y-2)² = 4

The equation of a circle in standard form is:

(x -a)² + (y-b)² = r²

The x-coordinate of the center is a the y-coordinate of the center is b

, and r is the radius.

In this case,

a=-2

b=2

and

r=2.

Hence, the center of this circle is (-2,2) and its radius is 2.

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According to the range for each set of scores, Class A has a larger spread of scores. According to the interquartile range for each set of scores, Class B has a larger spread of scores.

In statistics, the interquartile range (IQR) is a measure of variability that represents the spread of the middle 50% of a dataset. The IQR is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). Quartiles divide a dataset into four equal parts, with the first quartile representing the 25th percentile and the third quartile representing the 75th percentile.

The interquartile range is useful because it is less sensitive to outliers than the range, which is calculated by subtracting the minimum value from the maximum value. Outliers are extreme values that are significantly different from the other values in the dataset and can skew the results of statistical analyses.

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