find the radius of convergence, r, of the series. [infinity] (−1)n xn 2n ln(n) n = 2 r =

The function f(x)=7x−80 gives the profit the company makes when it sells x shirts. The function is defined for all real numbers x such that x ≥ 0, so the domain of the function is x ≥ 0.

In order to find and interpret the given function values, we can substitute in the given values of x.

When x = 20, the profit is f(20) = 7(20) − 80 = 60. This means that when the company sells 20 shirts, they make a profit of $60.

In general, the profit the company makes is directly proportional to the number of shirts they sell. This means that the more shirts the company sells, the more profit they will make.

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Answer:

y=3x+6

Step-by-step explanation:

Just test this on like a graph or something and you will see it works. Let me know if there is a fault in my answer. Thanks! Have a good day.

Answer:

Mga bugok ba dito o hindi

D because 2 has a x next to it so you divide by 2 on both sides

Answers:

1. It's called the gatekeeper because the cell membrane serves as a barrier that keeps many foreign substances from entering the cell.

2. Mitochondria is known as the energy factory because of its role in extracting energy from food through the process of respiration.

3. The nucleus is the boss of the cell because it controls the entire cell

4. DNA is stored within a chromosome.

5. The Golgi complex sorts, modifies, and assembles proteins.

6. Protein is made from amino acids.

7. The vacuole's function is to store material.

8. Diffusion and active transport are opposites because diffusion is a non-active method for moving molecules across the cell membrane, whereas active transport involves the use of energy within the cell to move molecules.

Answer:

A = 2 1/2 ft^2

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

A = 3 * 5/6

A = 5/2 ft^2

A = 2 1/2 ft^2

Answer:

A=2.5 ft^2

Step-by-step explanation:

A=3

A=3(5/6)

A=2.5 ft^2

\( \mathfrak{ \huge{SOLUTION}}\)

\( \rm \implies \dfrac{9x - 4}{15 {x}^{2} - 13x + 2} \)

\( \rm \implies = \dfrac{(3x {)}^{2} - {2}^{2} }{ {15x}^{2} 10 - 3x + 2} \)

\( \rm{ \implies \dfrac{(3x + 2)(3x - 2)}{(5x - 1)(3x - 2)} }\)

\(\boxed{ \rm{ \dfrac{3 x + 2}{5x - 1} }}\)

\( \mathfrak{ \huge{ANSWER:}}\)

\(\qquad \bm{ \dfrac{3 x + 2}{5x - 1} } \qquad\)

\( \\ \)

\( \quad \tt{ \green{~Brainly-Philippines}} \quad\)

\(\downarrow\)

The numbers of the jerseys of 5 randomly selected Carolina Panthers would fall under the category of quantitative discrete data.

Quantitative data are numerical measurements or counts that can be added, subtracted, averaged, or otherwise subjected to arithmetic operations. Discrete data, on the other hand, can only take on specific, whole number values, as opposed to continuous data which can take on any value within a range.

Qualitative data, on the other hand, are non-numerical data that cannot be measured or counted numerically. Examples include colors, names, opinions, and preferences. Since the numbers of the jerseys are specific numerical values, they are considered quantitative data.

Since they can only take on specific, whole number values (i.e. the jersey numbers are not continuous values like weights or heights), they are considered discrete data. Therefore, the correct option for the given question is option "quantitative discrete".

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Given :-

To Find :-

Solution :-

The roots are -8 and 1 . So on substituting x = -8 and 1 , the value of entire polynomial will become 0 . So that ,

\(\sf\longrightarrow\) -4x² + mx + n = 0

\(\sf\longrightarrow\) -4(-8)² +m(-8) + n = 0

\(\sf\longrightarrow\) -256 -8m + n = 0

\(\sf\longrightarrow\) 8m - n = -256 ----- (i)

Again ,

\(\sf\longrightarrow\) -4(1)² +m(1) + n = 0

\(\sf\longrightarrow\) 4 + m + n = 0

\(\sf\longrightarrow\) n + m = 4 ----- ( ii)

On adding (i) and (ii) , we have ,

\(\sf\longrightarrow\) 9m = 4 - 256

\(\sf\longrightarrow\) 9m = -252

\(\sf\longrightarrow\) m = -252/9

\(\sf\longrightarrow\) m = -28

So the value of n , will be ,

\(\sf\longrightarrow\) n = 4-m

\(\sf\longrightarrow\) n = 4 - 28 = -24

Hence the required answer is m = -28 and n = -24.

\(\text{The two roots are,}~~\alpha = -8,~~ \beta = 1\\\\\\\text{Now,}\\\\x^2 - (\alpha + \beta )x+\alpha \beta = 0\\\\\implies x^2 -(-8 +1)x +(-8)(1) =0\\\\\implies x^2+7x-8=0\\\\\text{Multiply both sides by}~ -4 \\\\-4x^2-28x+32=0\\\\\text{By comparing with}~ -4x^2 +mx +n=0, \text{we get,} ~m =-28 ~~ \text{and}~~ n = 32\)

(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.

To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.

If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).

If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.

Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).

(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.

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Complete question:

The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.

(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).

c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)

Answer:

its 3.5

Step-by-step explanation:

since we need to replace x with 6 the equation is now 3(6) + 8y = -10.

next i would multiply  3&6 to 18 then subtract 8y to the other side like this

18 + 8y = -10

     - 8y         -8y

18= -10 -8y

then i would add -10 to 18 on that side

18= -10 -8y

+10   +10    

28 = 8y

then i divided

3.5 is my answer

Answer: $30.50

Step-by-step explanation:

To find a discount, the formula is, List price - (List price x (percentage / 100))

The expression for the 15th term of the geometric sequence with first term 5 and common ratio 3/2 is \(5 (\frac{3}{2})^{14}\).

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

To find the nth term of a geometric sequence, you can use the formula:
nth term = first term (common ratio)^(n-1)

In this case, we are looking for the 15th term, the first term is 5, and the common ratio is 3/2.

Plug these values into the formula:
15th term = \(5 (\frac{3}{2})^{(15-1)}\)

Now, simplify the expression:

15th term = \(5 (\frac{3}{2})^{14}\)
This is the expression for the 15th term of the geometric sequence with the first term 5 and common ratio 3/2.

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Answer:

4750

Step-by-step explanation:

Take 95, move the decimal. 0.95

then multiply 5000 by 0.95

Answer:

x=7

Step-by-step explanation:

t(x) = 7x, t(x) = 49

Due to the transitive property, you can say that

7x=49

divide both sides by 7

x=7

Hope it helped!

Answer:

Step-by-step explanation:

7

49/7=7

Hamid is going to take one of his T-shirts at random.

The probability of selecting a light blue T-shirt is \(\frac{1}{4}\) or \(0.25\).

a) To find the probability that the T-shirt will be grey, we need to determine the ratio of grey T-shirts to the total number of T-shirts.

From the given information, we know that Hamid has 2 grey T-shirts out of a total of 20 T-shirts.

Therefore, the probability of selecting a grey T-shirt at random is \(\frac{2}{20}\), which simplifies to \(\frac{1}{10}\) or \(0.1\).

b) To find the probability that the T-shirt will not be red, we need to determine the ratio of non-red T-shirts to the total number of T-shirts.

Hamid has 4 red T-shirts, so the number of non-red T-shirts is

\(20 - 4 = 16\).

Therefore, the probability of selecting a T-shirt that is not red is \(\frac{16}{20}\), which simplifies to \(\frac{4}{5}\) or \(0.8\).

c) If Hamid takes one of his blue T-shirts at random, we need to consider the ratio of blue T-shirts to the total number of T-shirts.

From the information provided, we know that Hamid has a total of 4 blue T-shirts.

Therefore, the probability of selecting a blue T-shirt at random is \(\frac{4}{20}\), which simplifies to \(\frac{1}{5}\) or \(0.2\).

d) If Hamid takes one of his blue T-shirts at random, the probability that the T-shirt is light blue depends on the ratio of light blue T-shirts to the total number of blue T-shirts.

From the information provided, there is only 1 light blue T-shirt and a total of 4 blue T-shirts.

Hence, the probability of selecting a light blue T-shirt is \(\frac{1}{4}\) or \(0.25\).

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Answer:

a) \(\mathbf{ f(g(x))=x+2\sqrt{x} +1}\)

b) \(\mathbf{f(g(9))=16}\)

Step-by-step explanation:

We are given:

\(f(x)=(x-2)^2\\g(x)=\sqrt{x} +3\)

We need to find  \(a) f(g(x))\\b) f(g(9))\)

a) First finding: \(f(g(x))\)

It can be found by putting the value of g(x) into f(x)

We are given:

\(f(x)=(x-2)^2\\Put\:x=g(x)\:i.e. \: x= \sqrt{x} +3\\f(g(x))=(\sqrt{x} +3-2)^2\\Now\: solving:\\f(g(x))=(\sqrt{x} +1)^2\\Using\:formula\:\mathbf{(a+b)^2=a^2+2ab+b^2}\\f(g(x))=(\sqrt{x})^2+2(\sqrt{x} )(1)+(1)^2\\ f(g(x))=x+2\sqrt{x} +1\)

SO, we get: \(\mathbf{ f(g(x))=x+2\sqrt{x} +1}\)

b) Now finding: \(f(g(9))\)

It can be found by putting x=9 in f(g(x))

We have:

\(f(g(x))=x+2\sqrt{x} +1\\Put\:x=9\\f(g(9))=9+2\sqrt{9}+1\\We\:know\: \sqrt{9}=3\\ f(g(9))=9+2(3)+1\\f(g(9))=9+6+1\\f(g(9))=16\)

So, we get: \(\mathbf{f(g(9))=16}\)

Answer:

  4

Step-by-step explanation:

You want to know the leaf unit corresponding to data value 0.014 when values are rounded to thousandths.

The leaf unit for data values in a stem-and-leaf plot is the least-significant digit of the data value, when all data values are expressed to the same precision.

The least significant digit of 0.014 is 4. The leaf unit is 4.

<95141404393>

Answer:

B

Hope im right

Step-by-step explanation:

Alex can make a total of 180 different sandwiches by choosing one kind of meat from 10 options and two kinds of cheese from 9 options.

To determine the number of different sandwiches Alex can make, we need to consider the combinations of meat and cheese. Since Alex can choose one kind of meat from 10 options, there are 10 choices for the meat component of the sandwich. For the cheese component, Alex can choose two kinds of cheese from 9 options.

To calculate the total number of combinations, we can use the formula for combinations without repetition. The formula is nCr = n! / (r!(n-r)!), where n is the total number of options and r is the number of choices. In this case, n is 9 (number of cheese options) and r is 2 (number of cheese choices). Thus, the number of combinations of two kinds of cheese is \(9C2\)= 9! / (2!(9-2)!) = 36.

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Answer:

The  answer: {Side-Side-Side Theorem} (SSS) states that if the three sides of one triangle are congruent to their corresponding sides of another triangle, then these two triangles are congruent.

Step-by-step explanation:

Because of this, 24/32 is the equal fraction of 12/16 with a denominator of 32.

A mathematical expression that depicts a portion of a whole is a fraction. Normally, it is marked with a horizontal line separating the numerator from the denominator. A few examples of fractions are 1/2, 3/4, and 5/8. The denominator represents the overall number of parts in the whole, whereas the numerator represents the number of parts that are being taken into account. For instance, in the fraction 3/4, the denominator 4 denotes the entire number of parts in the whole, while the numerator 3 denotes three parts.

given

We can divide both the numerator and the denominator by their largest common factor, which is 4 to simplify 12/16 to its simplest form. Therefore:

12/16 = (12 ÷ 4) / (16 ÷ 4) = 3/4

We must multiply the numerator and denominator of 3/4 by an appropriate factor that will produce a denominator of 32 in order to discover an equivalent fraction with a denominator of 32.

Since 4 x 8 = 32, we can multiple the numerator and denominator by 8 to get the following result:

3/4 = (3 × 8) / (4 × 8) = 24/32

Because of this, 24/32 is the equal fraction of 12/16 with a denominator of 32.

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The correct statement is Most of the songs were between 3 minutes and 3.8 minutes long.

Based on the given information from the graph, we can determine the following:

The graph shows an upward trend from 2.8 to 3.4 on the horizontal axis.

Then, there is a downward trend from 3.4 to 4 on the horizontal axis.

From this, we can conclude that most of the songs played during the one-hour interval were between 3 minutes and 3.8 minutes long. This is because the upward trend indicates an increase in length from 2.8 to 3.4, and the subsequent downward trend suggests a decrease in length from 3.4 to 4.

Therefore, the correct statement is:

Most of the songs were between 3 minutes and 3.8 minutes long.

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Answer:

A

Step-by-step explanation:

Given information:

Raoul collects sports cards.

He has six baseball cards, three football cards, four hockey cards, and three basketball cards.

Raoul has a total of 6 + 3 + 4 + 3 = 16 sports cards.

The number of hockey cards he has is 4.

Therefore, the fraction of his sports cards that are hockey cards is:

4/16

Simplifying the fraction by dividing both the numerator and denominator by 4, we get:

1/4.

So, 1/4 of Raoul's sports cards are hockey cards.

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Interactions involving dummy variables can provide insights into the different effects of independent variables across categories.

1. Dummy variables are binary variables that represent categorical variables in a regression analysis. When interactions are included between dummy variables and other independent variables, it allows for differential effects of the independent variables based on the different levels of the categorical variable.

For example, let's consider a regression model to predict income based on education level and gender. We can include an interaction term between education level (represented by dummy variables for different levels) and gender. This interaction term allows us to examine whether the effect of education level on income differs between males and females. It helps capture any gender-specific differences in the relationship between education and income.

1.2 The linear probability model (LPM) is a common approach to estimate the probability of an event occurring using a linear regression framework. However, it has several problems:

1. The predicted probabilities from the LPM can fall outside the [0, 1] range: Since the LPM does not impose any restrictions on the predicted probabilities, they can sometimes exceed the valid probability range. This violates the assumption of probabilities being bounded between 0 and 1.

2. Heteroscedasticity: The LPM assumes constant error variance across the range of the predictors. However, in practice, the variability of the error term may change with different levels of the predictors, resulting in heteroscedasticity. This violates the assumption of homoscedasticity.

3. Non-linearity: The LPM assumes a linear relationship between the predictors and the probability of the event. However, this may not always be the case, and using a linear model can result in misspecification.

To remedy these problems, an alternative to the LPM is to use logistic regression or probit regression models. These models explicitly model the probability of an event occurring and address the issues mentioned above. They provide predicted probabilities that fall within the valid range of 0 to 1, account for heteroscedasticity, and allow for non-linear relationships between the predictors and the probability of the event.

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The peak in the data would likely be the right side of the graph.

When the majority of the data are displayed on the right side of a dot plot, the distribution of the data set is said to be left skewed (left skewed).

This indicates that the graph tapers to the left of the graph, with the greatest scores on the right and the lowest values of the variable on the left. View the picture in the following attachment marked A.

Additionally, for a right-skewed data set distribution, the majority of the data are shown on the graph's left side. It will have a right-tapering tail. View the picture in the following attachment marked A.

The peak in the data would most likely be on the right side of the graph for a data distribution that is left-skewing.

The peak in the data would most likely be on the left side of the graph for a data distribution that is skewed to the right.

In conclusion, for data set that ranges between 50 and 90, and the distribution is skewed left, the peak in the data would be to the right of the graph.

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Complete question:

A data set is displayed using a dot plot. The range of the data is between 50 and 90, and the distribution is skewed left. Where is there most likely a peak in the data?

left side of the graph

right side of the graph

middle of the graph

Answer:

d

Step-by-step explanation:

Given

- \(\frac{3}{2}\) x - 9 = - 27 ( add 9 to both sides )

- \(\frac{3}{2}\) x = - 18 ( multiply both sides by 2 to clear the fraction )

- 3x = - 36 ( divide both sides by - 3 )

x = 12 → d

Answer:

3a-12c

Step-by-step explanation:

(5a-7c)-(2a+5c)

5a-7c-2a-5c

(5a-2a)+(-7c-5c)

3a-12c

Answer:

3a - 12c

Step-by-step explanation: