cos A =

option 1: 40/9

option 2: 9/41

option 3: 40/41

option 4: 41/40

which is the correct answer?

The population is increasing for values of P between 0 and 4100.

The given differential equation, dP/dt = 1.1P(1 - P/4100), represents the rate of change of the population (P) with respect to time (t). To determine when the population is increasing, we need to find the values of P for which the derivative dP/dt is positive.

Let's analyze the factors in the equation to understand its behavior. The term 1.1P represents the growth rate, indicating that the population increases proportionally to its current size. The term (1 - P/4100) acts as a limiting factor, ensuring that the growth rate decreases as P approaches the maximum capacity of 4100.

To identify when the population is increasing, we need to consider the signs of both factors. When P is between 0 and 4100, the growth rate 1.1P is positive. Additionally, the limiting factor (1 - P/4100) is also positive, as P is less than the maximum capacity.

Therefore, when P is between 0 and 4100, both factors are positive, resulting in a positive value for dP/dt. This indicates that the population is increasing within this range.

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Answer:

47,200,000,000

Step-by-step explanation:

\(4.72*10^{10}\)  is in scientific form (notation).

To change this to standard form, we must move the decimal over the amount in the exponent. In this case, that is 10.

Answer:

Step-by-step explanation:

Answer:

the answer is 2 1/4

Answer:

To find the slope of a line, we need to know the slope formula. The slope formula is:

m = , with m being the slope and (x₁, y₁) being the coordinates of one point and (x, y) being the coordinates of the other. Now we can substitute the values of the points in our problem ( (-1,-1) and (1, -4) ) into the slope formula. Substituting, we get:

=

==

=-1.5

That means the slope of our line is -1.5

Step-by-step explanation:

Answer:

gimme pints

Step-by-step explanation:

Functions of the form f(x) = n(x)/d(x), where n(x) and d(x) are polynomials and d(x) is not the zero polynomial, are called rational functions.

A rational function is a function that can be expressed as the ratio of two polynomials, where the numerator (n(x)) and denominator (d(x)) are both polynomials.

The key characteristic of a rational function is that the denominator cannot be the zero polynomial, meaning it cannot evaluate to zero for any value of x.

The general form of a rational function is f(x) = n(x)/d(x), where n(x) and d(x) are polynomials.

The numerator represents the polynomial expression in the numerator, and the denominator represents the polynomial expression in the denominator.

Rational functions can exhibit various properties depending on the degrees and factors of the numerator and denominator.

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Answer:

The expression x = \(\frac{13}{8}+\frac{5}{4}\) could be used to determine the amount of water drank altogether.

Step-by-step explanation:

Given that:

Amount of water drank during practice = \(1\frac{5}{8} = \frac{13}{8}\)  liters

Amount of water drank on the ride home = \(1\frac{1}{4} = \frac{5}{4}\) liters

Let,

x be the total amount of water drank by Ramona.

x = Water drank during practice + Water drank on the ride home

x = \(\frac{13}{8}+\frac{5}{4}\)

Hence,

The expression x = \(\frac{13}{8}+\frac{5}{4}\) could be used to determine the amount of water drank altogether.

The referee should call a double touch and have the fencers restart the point.

A double touch occurs when both fencers land a valid touch on the opponent at the same time. In this case, fencer X made a feint, which is an attempt to draw the opponent into a reaction. Fencer Y responded with a direct attack. Since both fencers landed a valid touch at the same time, the referee should call a double touch.

A double touch is a situation in which both fencers hit the other at the same time, and the point is not awarded to either fencer. The referee has the power to decide if a double touch occurred, and the fencers will restart the point if a double touch is called. To ensure fairness, the referee should observe both fencers carefully and make a judgment on who initiated the attack and who responded.

If both fencers hit at the same time and the referee cannot determine who initiated the attack, then a double touch should be called.

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Answer:

301.47

Step-by-step explanation:

1205.88/4=301.47

Answer:

12

Step-by-step explanation:

6(-1)+(-2)

-6(-2)

12

I might be wrong so please forgive me if I am.

Answer:

53 1/4

Step-by-step explanation:

55 5/6  - 1 1/3 - 1 1/4  Rewrite with a common denominator

55 10/12 - 1 4/12 - 1 3/12

55 10/12 - 1 4/12 = 54 6/12

54 6/12 - 1 3/12

53 3/12

53 1/4

Answer:

a = 4

Step-by-step explanation:

Given equation:

4a - 5 = 11

Add 5 to both sides:

⇒ 4a - 5 + 5 = 11 + 5

⇒ 4a = 16

Divide both sides by 4:

⇒ 4a ÷ 4 = 16 ÷ 4

⇒ a = 4

Answer:

197

Step-by-step explanation:

Sample proportion is; p^ = 12/50 = 0.24

Margin of error of 5% is given by the formula;

ME = (z_0.05) √[p^(1 - p^)/n]

Let's make n(number of sample) the subject.

n = ((z_0.05)/ME)²((p^)(1 - p^))

From tables, the z-score of 0.05 is 1.645

Thus;

n = ((1.645)/0.05)²(0.24(1 - 0.24))

n ≈ 197

The "St. Petersburg Workmen's Petition to the Tsar" was a document written in 1870 by a group of Russian workers, which expressed their grievances and called for greater rights and protections in the workplace.

While the text of the petition is too long to summarize in its entirety, the following points illustrate some of the connections that the authors draw between workers' rights and their quality of life:

- The petitioners argue that workers have the right to a fair wage that allows them to support themselves and their families, and that without this right, workers are forced to live in poverty and squalor.

- They also argue that workers have the right to safe and healthy working conditions, and that without this right, workers are subjected to disease and injury that can shorten their lives and reduce their quality of life.

- The petitioners further argue that workers have the right to organize and advocate for their own interests, that without this right, workers are powerless to negotiate with their employers and to protect themselves against exploitation.

- They also argue that workers have the right to education and self-improvement, and that without this right, workers are trapped in a cycle of ignorance and subservience that limits their potential and reduces their quality of life.

- Overall, the authors of the petition argue that workers' rights and their quality of life are inextricably linked, and that without the former, the latter is impossible to achieve.

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Answer:

1. D -20

2. C (n-7)(n+6) / (n+4)(n-1)

Explanation:

The second one is actually:

(n−7)(n−1)(n+6)2(n+4)

But there isn't that one on the options so the closest one would be C.

Answer:

Step-by-step explanation:

f(h(-2) =

h(-2)= 5(-2)= -10

f(-10)= -10 - 2 = -12

Answer:

48

Step-by-step explanation:

by parallel laws

132 + x = 180

x = 48

so x must be 48

Step-by-step explanation:

Application of Formulas in Geometry By textbook tactics

99,096 views•May 25, 2012

This Video should help you solve your equation

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Answer: 10 Slices

Step-by-step explanation:

10 slices of cheese is about $0.24 a slice.

12 Slices of cheese is about $0.26 a slice.

So 10 slices is the better deal.

It typically takes teachers 9 minutes longer than students to get ready for school.

What is data sets?

A dataset is a collection of data that is organized in a specific way, typically into rows and columns, with each column representing a variable and each row representing an observation. A dataset can be made up of various types of data, such as numerical data, categorical data, or text data, and can be used for various purposes such as analysis, modeling, and prediction. In the context of statistics and data analysis, a dataset is often used to represent a population or a sample of a population, which can be analyzed to draw insights, make predictions, or test hypotheses.

Based on the given statements, the following three options accurately compare the two data sets:

1.The typical student takes longer to get ready for school than the typical teacher.

2.The amount of time it takes students to get ready is more variable than the amount of time it takes teachers to get ready.

3.It typically takes teachers 9 minutes longer than students to get ready for school.

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let number be x

1/6x - 1/12x= 4

1/12x=4

cross multiply

x= 12 x 4

x= 48

If one-sixth of a certain number is four more than one-twelfth the number, the required number will be 48.

Let the unknown number be 'a'

One-sixth of the number is expressed as 1/6 a ..... 1

One-twelfth the number is also expressed as 1/12 a

Four more than one-twelfth the number will be written as:

1/12 a + 4 .... 2

Equating 1 and 2 will give:

1/6 a = 1/12 a + 4

a/6 = a/12 + 4

Collect the like terms

\(\frac{a}{6} - \frac{a}{12} = 4\)

Find the LCM

\(\frac{2a-a}{12} = 4\\\frac{a}{12} = 4\)

Cross multiply

a = 12×4

a = 48

This shows that the required number is 48

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Answer:

black

black

Step-by-step explanation:

Answer:

-7 2/3 + (-5 1/2) + 8 3/4 = -4 5/12

The given data sets, Data Set 3 and Data Set 4, consist of four variables: a (months), w (lbs), t (s), and v (m/s). Each variable is associated with different values.

The given data sets exhibit relationships between the variables a, w, t, and v. From Data Set 3, we can observe that as the number of months (a) increases, the weight (w) in pounds also increases. This suggests a positive correlation between the two variables. Similarly, in Data Set 4, there is a relationship between time (t) in seconds and velocity (v) in meters per second. As time increases, the velocity also increases, indicating a positive correlation between these variables.

By analyzing the data sets, we can infer that the weight of an object tends to increase as time progresses. Additionally, the velocity of an object also increases over time. These relationships may indicate the growth or acceleration of a certain phenomenon being studied. However, without further context or specific information about the objects or phenomena being measured, it is challenging to draw more precise conclusions. To gain a deeper understanding, additional analysis or domain knowledge would be necessary.

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There are \(\frac{60!}{57!}\) ways we can do it.

Since organization has 60 members from which we haveto pick one person at random to be the president, another person to be the vice president and a third person to be the transformer,

the president can be select in 60c1 = \(\frac{60!}{1! 59!}\)

                                                           = \(\frac{60 *59!}{1*59!}\)

                                                           = 60 ways

After this for vice president we have 59 members from which vice president can be select in 59c1 = 59 ways.

and for treasure we have 58 members from which treasure can be select in 58c1 = 58 ways.

∴ No. of ways in which we can select president, vice president and treasure = 60 × 59 × 58

              =  \(\frac{60 * 59 * 58 * 57!}{57!}\)

              =  \(\frac{60!}{57!}\)

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Answer:

sec

Step-by-step explanation:

1/cosin = sec or cosin^-1

Answer:

c hope it helps

plz mark me as brainliest

Step-by-step explanation: