The 173 workers at a factory together produce 21,452 items per day. What is the daily rate of items per worker?

Quadratic equations can be expressed in three different ways:

1. Standard form

2. Factor form

3. Vertex Form

a\(x^2\) + bx + c = 0 is the quadratic equation's standard form, where 'a' is the leading coefficient and a non-zero real number. Due to the word "quad" meaning "square," this equation, whose degree is 2, is referred to as "quadratic." A quadratic equation can be expressed in other ways in addition to the usual form.

1. Standard form: An equation with a quadratic term has the following standard form y = a\(x^2\) + bx + c where a, b and c  are just the numbers.

2. Factor form: An equation with a quadratic term has the following factor forma (x - p)(x - q) = 0

3. Vertex Form: An equation with a quadratic term has the following vertex form a\((x-h)^2\) + k = 0

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Answer:

true

Step-by-step explanation:

<3

Answer:

Step-by-step explanation:

Because midpoints were used to make similar triangles we can say

AC=2(DE)

5x+12=2(9x-20)

5x+12=18x-40

-13x+12=-40

-13x=-52

x=4

AC=5x+12

AC=5(4)+12

AC=20+12

AC=32

Answer:

Step-by-step explanation:

DE = (1/2) * AC           {Midpoint theorem}

\(9x - 20 =\frac{1}{2}(5x + 12)\)

2(9x - 20) = 5x  + 12

2*9x - 2*20 = 5x + 12

18x - 40 = 5x + 12

18x -5x - 40 = 12

   13x  - 40  = 12

           13x  = 12+40

           13x  = 52

             x  = 52/13

            x = 4

AC = 5x + 12

     = 5*4 + 12

     = 20 +12

AC = 32

Answer:

The x value of a point where a vertical line intersects a function represents the input for that output y value. If we can draw any horizontal line that intersects a graph more than once, then the graph does not represent a function because that y value has more than one input.

Step-by-step explanation:

The average score of all students, calculated by taking a weighted average based on the number of students in each group, is 38. The overall performance is slightly below the group averages.

The average score of students in the first, second, and third groups are 39, 32, and 43, respectively. There are 24 students in the first group, 26 students in the second group, and 27 students in the third group.

To find the average score of all students, we need to take a weighted average of the scores in each group, with the number of students in each group as the weights.

Here's how to do it: First, we calculate the total number of students:24 + 26 + 27 = 77. Then, we calculate the total score across all students: 39*24 + 32*26 + 43*27 = 936 + 832 + 1161 = 2929

Finally, we divide the total score by the total number of students to get the average score:2929/77 = 38. The average score of all students is 38.

This means that the overall performance of all the students is slightly below the average of the scores in each group.

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The significance level, denoted by alpha (α), is a predetermined threshold used in hypothesis testing to determine the probability of rejecting the null hypothesis when it is actually true.

The steps involved in determining the significance level are as follows:

Therefore, the significance level indicates the probability of rejecting the null hypothesis when it is actually true. A smaller significance level (e.g., 0.01) means that the researcher is less willing to accept the risk of rejecting the null hypothesis when it is actually true, while a larger significance level (e.g., 0.05) means that the researcher is more willing to accept that risk.

In conclusion, the significance level is a critical parameter in hypothesis testing that helps researchers make decisions about the null hypothesis. By setting a predetermined threshold for the probability of rejecting the null hypothesis, researchers can control the risk of Type I error (rejecting the null hypothesis when it is actually true) in their statistical analyses.

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Answer:  12.5  miles

Step-by-step explanation:

Answer:

The hypotenuse is always directly opposite the right angle.

Step-by-step explanation:

Answer:

a. is the correct answer

Answer:

It's A on e2020

Step-by-step explanation:

The maximum and minimum values of the sine function are 0 and 1.

Option B is the correct answer.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

Sine function.

Sin 90° = 1

Sin 0° = 0

The maximum and minimum value of the sin function is 1 and 0.

Thus,

The minimum and maximum values of the sin function are 0 and 1.

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The following are the area of the sectors:

6a). π square inches

6b). 24π square centimeters

7a). 9 square centimeters

7b). 16.7 square inches

The area of a sector is calculated by multiplying the fraction of the angle for the sector divided by 360° and πr², where r is the radius.

For question 6:

a). (40/360) × π × 3 in × 3 in = π in²

b). (135/360) × π × 8 cm × 8 cm = 24π cm²

For question 7:

a). (90/360) × π × 6 cm × 6 cm = 9 cm²

b). (60/360) × π × 10 in × 10 in = 16.7π in²

Therefore, the following are the area of the sectors:

6a). π square inches

6b). 24π square centimeters

7a). 9 square centimeters

7b). 16.7 square inches

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Answer:

d

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

Answer:

Option 4.

Step-by-step explanation:

Tan(X)=perpendicular/base

Tan(X)=48/14

X=arctan(48/14)=74

The characteristic that  is necessary to create a table that compares two functions  is D. Choose the same values for each functions .

The Mathematical tables can be regarded as the lists of numbers which is used in showing the results of a calculation  and these can have  varying arguments.

It should be noted that when necessary to creating a table that compares two functions it  is important to Choose the same values for each functions .

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Answer:

18.43 units

Step-by-step explanation:

132/360 cause 360 degrees in circle

π4^r=area of totoal

16π= area

16π*132/360=18.4306769011

Answer: 1/6

Step-by-step explanation:

A cube for example a die has numbers 1, 2, 3, 4, 5 and 6 on its faces. The odds of rolling a 5 on a standard number cube is one out of 6 since there are possible six outcomes.

Therefore, the correct answer will be 1/6.

Answer:

1/6

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Wavelengths that are longer and more drawn out have a lower frequency, so number 3 has the least amount of energy.

I attached a spectrum that helps give a visual.

Hope this helps and made it a bit easier to understand.

Answer:

P=1538.461

Step-by-step explanation:

do it by the formula of

I=PRT, I=750 R=3.25% T=15

Answer:

Step-by-step explanation:

If x varies directly as y and inversely as z, then we can write:

x = k * (y / z)

where k is a constant of proportionality.

We can find the value of k by substituting the given values of x, y, and z:

3 = k * (4 / 8)

Simplifying the right-hand side:

3 = k * 0.5

k = 6

Now we can use this value of k to find x when y is 3 and z is 2:

x = 6 * (3 / 2)

x = 9

Therefore, when y is 3 and z is 2, x is equal to 9.

Answer:

a) The value of \(y\) is 6.

b) This line does not pass through the point of origin.

c) \(y = \frac{1}{2}\cdot x + 3\) intersects with \(y = -x+32\).

d) Both \(y = \frac{1}{2}\cdot x + 3\) and \(y = -x+32\) intersect in the first quadrant.

Step-by-step explanation:

a) By Analytical Geometry, we know that an equation of the line can be found by knowing the coordinates of two distinct points on the plane. The equation of the line is defined by this formula:

\(y = m\cdot x + b\) (1)

Where:

\(x\) - Independient variable.

\(y\) - Dependent variable.

\(m\) - Slope.

\(b\) - x-Intercept.

To determine the slope and x-intercept of the equation of the line, we have to solve the following system of linear equations:

\(m\cdot x_{1}+b = y_{1}\) (2)

\(m\cdot x_{2}+b = y_{2}\) (3)

If we know that \((x_{1}, y_{1} ) = (2,4)\) and \((x_{2}, y_{2}) = (-2, 2)\), then the solution of the system is:

\(m = \frac{1}{2}\), \(b = 3\)

Then, the equation of the line is \(y = \frac{1}{2}\cdot x + 3\). If we know that \(x = 6\), then the value of \(y\) is:

\(y = 6\)

The value of \(y\) is 6.

b) If this line passes through the point of origin, then the value of \(y\) must be zero for \(x = 0\). If we know that  \(y = \frac{1}{2}\cdot x + 3\) and \(x = 0\), then the value of \(y\) is:

\(y = 3\)

The line does not pass through the point of origin since x-intercept is not zero.

c) A system of two linear equations always has an unique solution if and only if slopes and x-intercepts are different to each other. This condition is satisfied by \(y = -x+32\), so we conclude that both lines intersect each other.

d) (Note: Question was incorrectly written. Correct form is: If your answer was yes in c, in which quadrant did they intersect?)

First, we solve the following system of linear equations:

\(\frac{1}{2}\cdot x -y = -3\) (4)

\(-x-y = -32\) (5)

The solution of this system is \((x,y) = (19.333, 12,667)\), which means that both lines intersects each other in the first quadrant.

The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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Answer: if this is a fraction 4\2 is greater

Step-by-step explanation: First you need same denominaters the lest coomon is four 2 over 4 is fine 4 over 2 two times 2 is 4 and 4 times 4 is 16 with will leave you with 16/4 or 2/4 simplfied 4/2 is greater

Answer:

The expressions are equal.

Step-by-step explanation:

Notice that \(a^{-b}=\frac{1}{a^b}\) for all (real) \(a,b\). So \(4^{-2}=\frac{1}{4^2} = \frac{1}{16}\) and \(2^{-4} = \frac{1}{2^4} = \frac{1}{16}\). Therefore, the expressions are equal.

To calculate how much Brianne needs to save each month, we'll subtract her current savings and her monthly income from her total expenses.

1. Total expenses:

  - Airfare: $1500

  - Backpack: $150

  - Spending money: $1000

  Total expenses: $1500 + $150 + $1000 = $2650

2. Current savings: $40

3. Monthly income:

  - Job at Porto's: $50/week * 4 weeks = $200/month

  - Extra chores: $1200/month

  Total monthly income: $200 + $1200 = $1400

4. Amount needed to save each month:

  Total expenses - Current savings - Monthly income = $2650 - $40 - $1400 = $1210

Therefore, Brianne needs to save $1210 each month to reach her total expenses for the European trip leaving in 5 months.

If she wanted to leave in 3 months instead, she would have less time to save. In that case, the calculation would be as follows:

1. Total expenses: $2650

2. Current savings: $40

3. Monthly income: $1400

4. Number of months: 3

5. Amount needed to save each month:

  (Total expenses - Current savings) / Number of months

  = ($2650 - $40) / 3

  ≈ $870 / 3

  ≈ $290

Therefore, if Brianne wanted to leave in 3 months, she would need to save approximately $290 each month to reach her total expenses for the European trip.

roots = {-2, -6}

Factors: (x + 6) and (x + 2)