A company has been forced to reduce its number of employees. today the company has33% fewer employees than it did a year ago. if there are currently 335 employees, how many employees did the company have a year ago?

Answer:

eqaution 1: Proportinal

eqaution 2:Proportinal

Step-by-step explanation:

Answer:

-8 = x

Step-by-step explanation:

Answer:

\(x + y = 84\)

\(x^2 = 6 + y\)

Step-by-step explanation:

Given

x = First Number

y = Second Number

Required

Write a system of equations

Sum is 84

This is represented as:

\(x + y = 84\)

Square of first is 6 more than the second

This is represented as:

\(x^2 = 6 + y\)

Hence, the equations are:

\(x + y = 84\)

\(x^2 = 6 + y\)

Answer: for plato users

y = -x+ 84

y= x^2 + -6

Step-by-step explanation:

I just took the test

y = \(\frac{3}{4} x\) is the relationship between two variables x and y.

from the Table x and y in the ratio 4 : 3

i. e

The equation related to x and y  is :

y = \(\frac{3}{4} x\).

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Answer:

60%

Step-by-step explanation:

By Using the table to work out the values of a , b , c , and d. X y = 2 x + 1 − 3 a − 2 − 3 − 1 b 0 1 1 c 2 d a = b = c = d =

Therefore, The solutions are : a = -3, b = 0, c = 6, d = 9

Equation:

In mathematics, an equation is an expression that indicates equality of two expressions by connecting them with the equal sign = . The word "equation" and related words in other languages ​​can have slightly different meanings. For example, in French an equation is defined as containing one or more variables, whereas in English a well-formed formula consisting of two expressions connected by an equal sign is an equation.

Given:

This table;

x             y = 3x+3

-3                -6

-2                 a

-1                  b

0                 3

1                  c

2                 d

To Find:

Values of a, b, c and d

Consider the 2nd row,

x = -2, y = a

Putting the values in the equation,

we get,

   a = 3(-2) + 3

⇒ a = -3

Consider the 3rd row,

x = -1, y = b

Putting the values in the equation,

we get,

   b = 3(-1) + 3

⇒ b = 0

Consider the 5th row,

x = 1, y = c

Putting the values in the equation,

   c = 3(1) + 3

⇒ c = 6

Consider the 6th row,

x = 2, y = d

   d = 3(2) + 3

⇒ d = 9

The final answer is,

a = -3, b = 0, c = 6, d = 9.

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Using a slope value of 3, the general equation in point-slope form is: y - b = 3(x - a).

Recall:

From the question given, the slope gotten from part B is missing in this question. However, let's assume the slope (m) = 3.

Using one of the points, say (a, b), to write a general equation in point slope form, substitute \((x_1, y_1)\) = (a, b) and m = 3 into \(y - y_1 = m(x - x_1)\).

Thus:

\(\mathbf{y - b = 3(x - a)}\)

Therefore, using a slope value of 3, the general equation in point-slope form is: y - b = 3(x - a).

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Answer: slope = \(\frac{1}{2}\)

Step-by-step explanation:

        Since we are given a graph with clear points, we will use "rise over run" by counting the units between points upwards and rightwards.

        Since this line is going up from bottom left to upper right, we have a positive slope.

        Starting at (0, -3) we count up one unit and right two units to (2, -2), giving us a slope of \(\frac{1}{2}\).

The trigonometric function plot in Cartesian plane is shown below.

In this question we must create a graph of a trigonometric function, tangent function. The complete procedure is summarized below:

Step 1:

x = 0

tan 0 = 0

tan (π / 4) = 1

tan (π / 2) = NaN

tan (3π / 4) = - 1

tan π = 0

tan (5π / 4) = 1

tan (3π / 2) = NaN

tan (7π / 4) = - 1

tan 2π = 0

Step 2 & 3 - The result is shown in the image attached below.

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Answer:

Step-by-step explanation:

ERERRER3R3ERWEWREWRERE

The angle θ is maximized when c = 2 (halfway between two points).

The maximum angle at which a conveyor can be inclined while still delivering a predetermined amount of bulk material in a given amount of time. As the maximum angle is approached, the rate of bulk material handling is usually reduced.

Given that, in the figure, find the value of c in the interval [0, 4] on the x-axis that maximizes angle θ.

Express θ as a function of c, Let α be the angle to the left of θ and let β be the angle to the right, then,

tanα = 2/c

and tanβ = 2/(4-c)

At this point, we suppose that it might be easier to use cotangent in order to keep c inn numerator,

cotα = c/2

cotβ = (4-c)/2

We have, α+β+θ = π, so,

θ = π-α-β

= π-cot⁻¹c/2-cot⁻¹(4-c)/2

Differentiate, set equal to 0 and solve

dθ/dc = 1/1+(c/2)².1/2+1/1+(4-c/2)²(1/2)

Put dθ/dc = 0

1/1+(c/2)².1/2+1/1+(4-c/2)²(1/2) = 0

1/1+(c/2)²-1/1+(4-c/2)² = 0

1/1+(c/2)² = 1/1+(4-c/2)²

(4-c/2)² = (c/2)²

(c/2) = (4-c/2)

4-c = c

2c = 4

c = 2

Hence, The angle θ is maximized when c = 2 (halfway between two points).

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The rule says that the sum of any two sides has to be smaller than the third side so, no it can't

Answer: 64 ounces

Step-by-step explanation:

Let's start with what we know:
1 pound = 16 ounces, so

4 pounds would equal

64 ounces!

Answer:

64 oz

Step-by-step explanation:

1lb =16oz so you multiply 16 by 4 and you get 64

Answer:

y = -2x + 3

Step-by-step explanation:

To find the difference in the number of cups of sugar used to bake 9 batches of cookies compared to 3 batches of cookies, we need to calculate the amount of sugar used for each case.

From the table, we can see that:

- For 1 batch of cookies, Sonya uses 2-7 cups of sugar.

- For 2 batches of cookies, Sonya uses 47/17 cups of sugar.

- For 3 batches of cookies, Sonya uses 6²2/2 cups of sugar.

To calculate the amount of sugar used for 9 batches of cookies, we can use the pattern observed in the given values:

- For 4 batches of cookies, Sonya uses 2-7 cups of sugar.

- For 5 batches of cookies, Sonya uses 47/17 cups of sugar.

- For 6 batches of cookies, Sonya uses 6²2/2 cups of sugar.

- For 7 batches of cookies, Sonya uses 2-7 cups of sugar.

- For 8 batches of cookies, Sonya uses 47/17 cups of sugar.

- For 9 batches of cookies, Sonya uses 6²2/2 cups of sugar.

Therefore, to find the difference in the number of cups of sugar used to bake 9 batches of cookies compared to 3 batches of cookies, we subtract the amounts:

Amount of sugar for 9 batches - Amount of sugar for 3 batches

[(2-7) + (47/17) + (6²2/2)] - [(2-7) + (47/17) + (6²2/2)]

Simplifying the expression, we get:

[(2-7) + (47/17) + (6²2/2)] - [(2-7) + (47/17) + (6²2/2)]

= 6²2/2 - 6²2/2

= 0

Therefore, the correct answer is:

d) 19 1/4

There is no difference in the number of cups of sugar used to bake 9 batches of cookies compared to 3 batches of cookies.

Aisha's net balance after writing the check of $100 to five employees will be $260 .

Given, Aisha’s account balance $760.

Now, to get the net balance of account after deductions .

Remaining amount = Original Balance - Payment amount.

Substitute the values,

Remaining amount = $760 - 5 × $100

Remaining amount = $760 - $500

Remaining amount = $260

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Putting forecast errors into perspective is best done using MAPE and MAD. These are two common measures of forecast accuracy that can help evaluate the performance of a forecasting model and put forecast errors into perspective.

MAPE (Mean Absolute Percentage Error) measures the average absolute percentage difference between actual and forecasted values. This metric is useful because it expresses forecast accuracy in relative terms, allowing us to compare forecast errors across different data sets and time periods. However, it can be sensitive to extreme values and can be misleading when dealing with small or negative actual values. MAD (Mean Absolute Deviation) measures the average absolute difference between actual and forecasted values, without regard for direction. This metric is more robust to extreme values and is easier to interpret than MAPE, making it a popular choice for evaluating forecast accuracy. Using MAPE and MAD, we can identify areas where the forecasting model is performing well and where it needs improvement. By putting forecast errors into perspective, we can make informed decisions about how to adjust our forecasting approach to improve accuracy and reliability.

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Answer:

0

Step-by-step explanation:

if you distribute the negative through the second part, you get x-y-x+y, so the x and y will both cancel to 0.

Answer:

Step-by-step explanation:

( x + y ) - ( x - y )

x + y - x + y  

x - x + y + y

Answer:

\(25x^{2} -30x+10\)

Step-by-step explanation:

Plug in 5x-3 into f(x) so

\((5x-3)^2 + 1 = 25x^2 -30x+10\)

One way to determine whether a point is a solution to a two-variable inequality is to substitute the values of the variables in the inequality and determine whether the inequality is true or false. If the inequality is true, the point is a solution, and if the inequality is false, the point is not a solution.

For example, consider the inequality 2x + 3y > 7. Let’s see if the point (1,2) is a solution. To do so, substitute x=1 and y=2 into the inequality:2(1) + 3(2) > 7 Simplify to get:2 + 6 > 7 This is true, so the point (1,2) is a solution to the inequality. Conversely, let’s see if the point (4,-1) is a solution. To do so, substitute x=4 and y=-1 into the inequality:2(4) + 3(-1) > 7 Simplify to get:8 - 3 > 7 This is false, so the point (4,-1) is not a solution to the inequality .There are some general rules that can be followed to help determine which side of a line is shaded in an inequality. If the inequality is greater than or less than, the line should be dashed, and the shading should be above or below the line, respectively. If the inequality is greater than or equal to or less than or equal to, the line should be solid, and the shading should be above or below the line, respectively.

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Answer:

26 or 27 minutes (read the last part of the explanation)

Step-by-step explanation:

So there are 3 minutes Jane already has for $0.75. She has $3.60, so first just subtract the 75 cents from the total amount of money, to get $2.85. Each minute after costs $0.12 so just divide the 2 numbers. You should get 23.75, that's the number of minutes. Add the 3 minutes back on to get the total time and you get 26.75, it says round to the nearest whole number, which would be 27, but since that would cost more money than Jane actually has, I think it would be 26 minutes

sorry if this is a bad explanation TwT

The simplified expression is 2x(3x - √x/2 + 1/x).

We have,

(6x² - √x + 2) / 2x

To simplify the expression (6x² - √x + 2) / 2x,

We can factor out 2x from the numerator.

(6x² - √x + 2) / 2x

= 2x(3x - √x/2 + 1/x)

Therefore,

The simplified expression is 2x(3x - √x/2 + 1/x).

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The number of rabbits that must be sold if they want to be fed for 15 more days is 150 rabbits.

In a farm, there is food to feed 300 rabbits for 60 days.

Let x be the number of rabbits that must be sold if they want to be fed for 15 more days.

From the given data, we have the following equation:

300 * 60 = (300 - x) * 75

The equation represents the amount of food for 300 rabbits that can last 60 days is equal to the amount of food for 300 - x rabbits that can last 75 days.

Solving for x, we get:

x = 150 rabbits

Hence, the number of rabbits that must be sold if they want to be fed for 15 more days is 150 rabbits.

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Answer:

\(200 \frac{43 \\ \)

The piecewise function for this problem is defined as follows:

A piece-wise function is a function that has different definitions, depending on the input of the function.

In the context of this problem, we have that for less than 4 hours, the cost is of 4.25 per hour, hence:

C(x) = 4.25x, x < 4.

For a time of 4 hours of more, the cost is of $3.75 per hour, plus a discount of $2, hence:

C(x) = 3.75x - 2, x ≥ 4.

Hence the second option is the correct option in the context of this problem.

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There are 432 different meal choices that a customer can make if a meal includes a sandwich, chicken wings, and a drink.

To calculate the total number of meal choices, you can multiply the number of options for each item:

Number of sandwich options = 8

Number of chicken wing options = 9

Number of drink options = 6

Total number of meal choices = number of sandwich options x number of chicken wing options x number of drink options

Total number of meal choices = 8 x 9 x 6 = 432

Therefore, there are 432 different meal choices that a customer can make if a meal includes a sandwich, chicken wings, and a drink.

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Answer: x = 20

Step-by-step explanation:

The height of the pyramid can be represented ,as per the given details as 3x.

The volume is 3/2 times 3 x 3, and the hexagon base's area is six times greater than the equilateral triangle's.

A pyramid's base edge's length is equal to x units.

In other words, the pyramid's height is three times as long as its base edge.

The pyramid's height is equal to 3x

A three-dimensional structure with a polygon at its base is referred to as a pyramid. You must be familiar with The Great Pyramid of Giza, which was built using a similar framework. This structure has a distinct shape because each corner is connected to a single apex.

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Adam's net income after a tax withholding will be 533 dollars. Then the correct option is B.

It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.

Adam makes $632 gross income per week and has claimed four allowances.

The weekly withholding is 99 dollars.

Adam's net income after a tax withholding will be

⇒ $632 - $99

⇒ $533

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11.1m/sec² This value for the acceleration due to gravity holds on Saturn.

The correct option is B.

All of the universe's material items are subject to the force of gravity, commonly known as gravitation. If there is a difference in mass between any two things or particles, gravity will tend to pull them in that direction. Whether they be subatomic particles or galaxy clusters, all objects are affected by gravity.

The speed of gravity on Earth is 9.8 m/sec².

pertaining to a 150 newton item

As we can see that we are changing the planet so mass will be constant but gravity will change.

W=mg

Mass on earth:

150 =m * 9.8

m = 150/9.8

    = 15.3

15.3 = m in the formula (9.8)

It demonstrates that an object weighing 150 newtons would have a mass of 15.3 kilograms on Earth.

Using this mass as a substitute in the equation for Saturn:

acceleration due to gravity on Saturn = 11.1 m/sec²

W=mg

W= 15.9 * 11.1

   = 169

This value is to close to the given value

170 newtons equal 15.3 grams.

when used as a weight.

The acceleration of the second planet caused by gravity is about = 11.1m/sec²

11.1m/sec² This value for the acceleration due to gravity holds on Saturn.

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