A company's minimum cost of $1000 occurs when operating for 16 hours per day. The cost of operating 8 hours per day would be $2600. Write a quadratic equation that models the company's costs.

The correct answer is polygon has rotated 42° after 7 minutes.

To understand how much the polygon has rotated after 7 minutes, we can break it down into smaller increments.

Since the clock has 60 sides, each minute corresponds to a rotation of 360°/60 = 6°. Therefore, after 1 minute, the polygon rotates by 6°.

After 7 minutes, the polygon would have rotated by 7 * 6° = 42°. This is because each minute adds an additional 6° of rotation.

Hence, after 7 minutes, the polygon has rotated 42°. This means that it has moved 42° clockwise or counterclockwise from its starting position.

Learn more about clock here:

https://brainly.com/question/24051741

#SPJ8

Answer:

42°

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

Answer: 1 is the answer

Step-by-step explanation:

 -5 * -1/5

-5/-5

5/5

1

Answer:

5 sin C+21=0

Step-by-step explanation:

it stays the same cause when you solve for C in degrees there is no solution so the answer 5 sin C+21=0 stays the same.

1. An LP model for this problem is 3R + 4Z ≤ 2400.

2. To sketch the viable zone, we must graph the constraints on a two-dimensional coordinate system.

3. The LP model is solved using an LP solver or one of the many optimization techniques, such as the Simplex Method.

a. Here are the decision variables defined:

R = Amount of manufactured razors

Z = The quantity of Zoomers made

The goal is to maximize overall profit, as stated by:

Profit = 70R + 40Z

Subject to the aforementioned limitations

There should be no more than 700 bikes made in total.

R + Z ≤ 700

There shouldn't be more than 300 created Razors for every 100 Zoomers:

R - Z ≤ 300

The use of polymer should not exceed the 900 pounds of supply that is readily available.

2R + Z ≤ 900

The overall manufacturing time should not exceed the 2400 hours of labor that are readily available:

3R + 4Z ≤ 2400

The quantity of Zoomers and Razors manufactured must not be negative.

R ≥ 0

Z ≥ 0

b. We must graph the restrictions on a two-dimensional coordinate system in order to sketch the viable region.

To solve for Z in terms of R, the restrictions can be rearranged as follows:

R + Z ≤ 700

Z ≤ 700 - R

R - Z ≤ 300

Z ≥ R - 300

2R + Z ≤ 900

Z ≤ 900 - 2R

3R + 4Z ≤ 2400

Z ≤ (2400 - 3R) / 4

Plot these inequality constraints on the coordinate plane while keeping in mind their non-negativity. The area where all of the constraints are met will be referred to as the viable region.

c. In order to identify the best course of action, we must maximize the objective function (Profit) while adhering to every restriction. The values of R and Z that produce the most profit within the realm of possibility will constitute the ideal solution.

This can be done by utilizing an LP solver or one of the many optimization strategies, such as the Simplex Method, to solve the LP model. The R and Z values that maximize the profit will be provided by the ideal solution.

To learn more about Simplex Method link is here

brainly.com/question/30387091

#SPJ4

Answer:

Distance between Jackson and Symphony stations is 2.2 miles.

Step-by-step explanation:

From the given map,

Location of two stations can be represented by the ordered pairs Jackson(2, 4) and Symphony(1, 2)

Every unit of the map represents the distance of 1 mile.

Distance between two points is measured by the formula,

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}\)

Therefore, distance between the given stations will be,

d = \(\sqrt{(2-1)^2+(4-2)^2}\)

  = \(\sqrt{1+4}\)

  = \(\sqrt{5}\)

  = 2.236

  ≈ 2.2 miles

Distance between Jackson and Symphony stations is 2.2 miles.

a) The function f(x, y)=  \(2e^-^x - y, z = -7, 11.\) The curves are decreasing exponential functions.

b) The y - intercept of the level curves for the  value of k are found as:

k = -7 => y = 9

c)The y values of the asymptotes of the level curves for these values of k are found as

k = -7 => y = 7.

The level curves of a function of two variables

z = f(x, y)

are the curves where the function assumes a constant value k.

Therefore, the curves are solution of the equation

f(x, y) = k

The level curves of the function for the given values of z.

f(x, y) = \(2e^-^x - y, z = -7, 11.\)

are found solving the equation

\(f(x,y) =k = > 2e^-^x-y=k\\\\= > y= 2e^-^x-k\)

The curves are decreasing exponential functions. See the graph of the function.

b) The y - intercept of the level curves for the  value of k are found as:

x = 0 => y = 2 - k

k = 11 => y = -9

k = -7 => y = 9

c) The y values of the asymptotes of the level curves for these values of k are found as

\(\lim_{x \to \infty} 2e^- ^x-k=-k\)

k = 11 => y = -11

k = -7 => y = 7.

Learn more about Asymptotes at:

https://brainly.com/question/4084552

#SPJ4

Answer:

581

Step-by-step explanation:

Answer in the picture

Based on the information provided, it appears that Sammi did not make any mistakes in creating the tally chart. The information appears to be correctly recorded and organized.

To create a dot plot, Sammi would simply plot a dot above the appropriate number on the number line for each entry in the "hours" column and mark it the number of times specified in the corresponding entry in the "tally" column.

The answer was determined based on the information provided in the question, which was a 2-column table with 4 rows. The first column was labeled "hours" and had entries of 3, 4, 5, 6. The second column was labeled "tally" and had entries of 4, 6, 3, 5.

Given this information, it can be concluded that Sammi correctly recorded the hours and their respective tallies. Therefore, there is no mistake in the creation of the tally chart.

It is important to note that the question only asks about the creation of the tally chart and not the creation of the dot plot, so the answer is based solely on the information provided in the question and not any assumed knowledge or steps in creating a dot plot.

Learn more about Dot Plot Mistake Check here:

https://brainly.com/question/27897864

#SPJ4

Answer:

  x = -2 or -9

Step-by-step explanation:

You want the values of x such that the line defined by the two points (2x+3, x+2) and (0, 2) is perpendicular to the line defined by the two points (x+2, -3-3x) and (8, -1).

The slope of a line is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

Using the formula, the slopes of the two lines are ...

  m1 = (2 -(x+2))/(0 -(2x+3)) = (-x)/(-2x-3) = x/(2x +3)

and

  m2 = (-1 -(-3-3x))/(8 -(x+2)) = (2+3x)/(6 -x)

The slopes of perpendicular lines have product of -1:

  \(\dfrac{x}{2x+3}\cdot\dfrac{2+3x}{6-x}=-1\\\\x(3x+2)=(2x+3)(x-6)\qquad\text{multiply by $(2x+3)(6-x)$}\\\\3x^2+2x=2x^2-9x-18\qquad\text{eliminate parentheses}\\\\x^2+11x+18=0\qquad\text{put in standard form}\\\\(x+2)(x+9)=0\qquad\text{factor}\)

The values of x that satisfy this equation are x = -2 and x = -9. The attached graphs show the lines for each of these cases.

According to the information, to estimate the total cost for a 50-kilometer taxi ride by extending the line to a distance of 50 kilometers and reading off the corresponding y-value, which is approximately $105.00.

Distance (km) Total Cost ($)

0 5.00

1 7.00

2 9.00

3 11.00

4 13.00

5 15.00

b. The graph of the total cost C as a function of the distance d up to 10 kilometers is a linear function with a slope of $2.00/km and a y-intercept of $5.00.

The start value of the total cost is $5.00, which is the initial fee charged by the taxi service. The rate of change is $2.00/km, which is the cost per kilometer travelled.

The equation that models the total cost C of using the taxi service for a distance of d kilometers is:

Using the equation from part d, we can calculate the total cost of a 50-kilometer taxi ride:

Alternatively, we could use the graph to estimate the total cost for a 50-kilometer taxi ride by extending the line to a distance of 50 kilometers and reading off the corresponding y-value, which is approximately $105.00.

Learn more about kilometers in: https://brainly.com/question/13987481

#SPJ1

Given the data shown in the table, you can identify that these two points are on the line:

By definition, the Slope-Intercept Form of the equation of a line is:

Where "m" is the slope of the line and "b" is the y-intercept.

You can find the slope of the line using this formula:

Where these two points are on the line:

A hypothesis test on a regression coefficient fails to reject the null hypothesis at the 5% significance level. This means that the test was not able to provide enough evidence to support the idea that the regression coefficient is significantly different from zero.

A hypothesis test is a statistical test that is used to determine whether there is enough evidence to support or reject a claim about a population based on the sample data. In a regression analysis, the regression coefficient represents the slope of the regression line that shows the relationship between the dependent variable and the independent variable(s).The null hypothesis for a regression coefficient is that the population slope is zero, which means that there is no linear relationship between the dependent variable and the independent variable(s). The alternative hypothesis is that the population slope is not zero, which means that there is a linear relationship between the dependent variable and the independent variable(s).The level of significance (α) is the probability of making a Type I error, which is the rejection of the null hypothesis when it is actually true. The commonly used value for α is 0.05 (or 5%).If a hypothesis test on a regression coefficient fails to reject the null hypothesis at the 5% significance level, it means that there is not enough evidence to support the alternative hypothesis that the population slope is not zero. Therefore, it can be concluded that the regression coefficient is not significantly different from zero and there is no linear relationship between the dependent variable and the independent variable(s).

Know more about hypothesis test here:

https://brainly.com/question/17099835

#SPJ11

Answer:

5 13/20

Step-by-step explanation:

8 9/10-3 1/4

Make the denominators of the fractions the same.

8 18/20 - 3 5/20

Subtract.

8 18/20 - 3 5/20 = 5 13/20

The answer is 5 13/20.

Hope this helps!

Please mark as brainliest if correct!

Answer:

π m

Step-by-step explanation:

Arc length = 2πr\(\frac{0}{360}\)

where r = radius and 0 = central angle

The given radius is 4m and the given central angle is 45°

Thus, arc length = 2π4\(\frac{45}{360}\)

* simplify *

( note when simplifying we leave our answer in terms of π as the answer choices do. )

2 * 4 = 8

\(8\frac{45}{360} =1\)

arc length = 1π

Hence, arc length = 1π or just π

Answer:

$2,142

Step-by-step explanation:

7% of 18,600 is 1,302

Add this to 840 and you get a total of $2,142

Commission is $1,302

Gross pay is $840

9514 1404 393

Answer:

  316 m²

Step-by-step explanation:

The centerline length of the walkway is 2×(52 m +27 m) = 158 m.

The area is the product of the walkway's centerline length and its width:

  A = (158 m)(2 m) = 316 m²

_____

More detail on this approach

The centerlines of the long-side walkways are 25 m + 1 m + 1 m = 27 m apart. The centerlines of the short-side walkways are 50 m + 1 m + 1 m = 52 m apart.

The total length of the centerline is the perimeter of a 27 m by 52 m rectangle:

  P = 2(L+W) = 2(52 m +27 m) = 158 m

_____

Usual approach

The area with the walkways is 54 m by 29 m = 1566 m². The area without the walkways is 50 m by 25 m = 1250 m². The difference is the area of the walkway, 1566 -1250 = 316 square meters.

The HCF for the three sets of algebraic expression is 32b.

The HCF of an algebraic expression is the highest common factor present in between given two or more numbers or mathematical expression.

we shall derive the HCF of the algebraic expression by first expressing them as products of the their prime factors as follows;

32a × 5b × 4 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × a × b

24a × 6b × 6 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × a × b

48a × 4b × 5 = 2 × 2 × 2 × 2 × 2 × 2 × 5 × b

Then;

32a × 5b × 4 = (2^5) × b× 2 × 2 × 5 × a

24a × 6b × 6 = (2^5) × b × 3 × 3 × a

48a × 4b × 5 = (2^5) × b × 2 × 5

Hence, the HCF = (2^5) × b

HCF = 32 × b

HCF = 32b

Therefore, we can say that the HCF of the given algebraic expressions is 32b.

Learn more about HCF of algebraic expressions here: https://brainly.com/question/4344214

#SPJ1

Answer:

9 u ^2

Step-by-step explanation:

Answer:

9u

Step-by-step explanation:

Greatest common factor for 63\(u^{5}\), 45\(u^{4}\), and 27u.

We can all divide them by 9, and that is the furthest we can get.

For the variables, the furthest we can get is u.

In conclusion, the greatest common factor for 63\(u^{5}\), 45\(u^{4}\), and 27u is 9u.

The domain of f is the set of all real numbers f(x,y) as (x,y) varies throughout the domain D with three variables.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The functions of a point (or vector) in R2 or R3 that have real values will now be looked at. These functions will typically be defined on sets of points in R2, but there will be occasions when we utilise points in R3 and when it is more convenient to think of the points as vectors (or terminal points of vectors).

Each point f(x,y) in D is given a real number f(x,y) according to a real-valued function f defined on a subset D of R2. The domain of f is the set of all real numbers f(x,y) as (x,y) varies throughout the domain D, and the range of f is the greatest set D in R2 on which f is defined.

Learn more about function, by the following link.

https://brainly.com/question/25638609

#SPJ4

Patrick received a total of approximately $6,785.97 over the course of 52 weeks.

To calculate the total amount of money Patrick received over the 52 weeks, we can use the concept of a geometric sequence. The first term of the sequence is $10, and each subsequent term is 10% more than the previous term.

To find the sum of a geometric sequence, we can use the formula:

Sn = a * (r^n - 1) / (r - 1),

where Sn is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.

In this case, a = $10, r = 1 + 10% = 1.1 (common ratio), and n = 52 (number of weeks).

Plugging these values into the formula, we can calculate the sum of the sequence:

S52 = 10 * (1.1^52 - 1) / (1.1 - 1)

After evaluating this expression, we find that Patrick received approximately $6,785.97 over the 52 weeks.

As a result, Patrick collected about $6,785.97 in total over the course of 52 weeks.

for such more question on total amount

https://brainly.com/question/19079438

#SPJ8

The first five terms of the sequence using the recursive rule are 1, 3, 5, 7, and 9.

To write the first five terms of a recursively defined sequence, you need to know the initial terms and the recursive rule that generates each subsequent term.

Let's say the first two terms of the sequence are a₁ and a₂.

Then, the recursive rule tells you how to find a₃, a₄, a₅, and so on.

The general form of a recursively defined sequence is:

a₁ = some initial value

a₂ = some initial value

R(n) = some rule involving previous terms of the sequence

aₙ₊₁ = R(n)

Using this general form, we can find the first five terms of a sequence. Here's an example:

Suppose the sequence is defined recursively by a₁ = 1 and aₙ = aₙ₋₁ + 2.

Then, the first five terms are:

a₁ = 1

a₂ = a₁ + 2 = 1 + 2 = 3

a₃ = a₂ + 2 = 3 + 2 = 5

a₄ = a₃ + 2 = 5 + 2 = 7

a₅ = a₄ + 2 = 7 + 2 = 9

Therefore, the first five terms of the sequence are 1, 3, 5, 7, and 9.

To know more about recursive visit:

https://brainly.com/question/29238776

#SPJ11

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The attached graph shows the original triangle (red) reflected over y=-2 (purple) and translated left 4 units (blue).

The secondary use of data from the 2000 census classification system to identify disparities in mental healthcare.

The 2000 Census classification system helps our communities choose where to build everything from homes to hospitals to schools and shops. It also reveals who we are as a country and where we are headed. It aids in the government's decision-making about the allocation of cash and assistance to cities and states.

The government-wide 2000 Standard Occupation Classification (SOC) system served as the foundation for the 2000 Census classification system, while the 1980 SOC was used for the 1990 Census.

Learn more about the 2000 Census Classification System here:

https://brainly.com/question/25846785

#SPJ4

Answer:

x=8,-2

Step-by-step explanation:

Add 10 to both sides.

{(x-3)}^{2}=15+10

2 Simplify 15+10+25

(x−3) ^2=25

3 Take the square root of both sides.

x-3=+or-√25

If delta and united flights are not equally on time, then the chance that we see a sample statistic of not equally or any statistic (larger or smaller) is larger, 0.05.

This is because the probability of a sample statistic being either larger or smaller (relative to the population) is always greater than the probability of it being equal. The p-value of 0.05 indicates that there is a 5% probability that the difference in on-time performance between Delta and United flights is due to chance.

The p-value of 0.05 indicates that there is a 5% chance that the observed sample statistic (of being larger or smaller than expected) is due to chance alone.

To learn more about sample statistic link is here

brainly.com/question/29490427

#SPJ4

The complete question is:

Complete the interpretation for the p-value:

If delta and united flights are (equally, not equally) on time, then the chance that we see a sample statistic of ______ or any statistic (larger, smaller) is _______ .

The correct is c. $60.30.Tony invested $5,500 in a four-year CD that paid 4.8% interest.

The initial amount invested, that is principal = $5,500The interest rate = 4.8%

The time the money is invested (in years) = 4

The formula for the future value of a single amount is given by:FV = PV × (1 + i)n

Where, FV = Future Value,

PV = Present Value,

i = interest rate per compounding period, and

n = number of compounding periods.

Since it is given that the CD is compounded annually, the formula becomes:FV = PV × (1 + i)n

FV = $5,500 × (1 + 0.048)4

FV = $6,782.23

The future value of the CD is $6,782.23.

The amount Tony withdrew = $475

The penalty for early withdrawal is 3 months of interest on the amount withdrawn.Interest rate for the CD = 4.8%

Interest rate for 3 months = (4.8/4)/3

= 0.4%

(Dividing by 4 to get quarterly interest rate and then dividing by 3 to get interest for 3 months)

Interest on the amount withdrawn = $475 × 0.004

Interest on the amount withdrawn = $1.90

The penalty paid by Tony = $1.90 × 3

Penalty paid by Tony = $5.70

Hence, the penalty paid by Tony was $5.70.

To know more about cost estimate visit :-

https://brainly.in/question/40164367

#SPJ11

Answer:

Step-by-step explanation:

x will be the original weight.

2x - 20 = 180

2x = 200

x = 100