6. Consider the inequality 12<-3 (x + 4). Which value of x is part of the solution set of this inequality?

The given series is:[infinity] (−1)n2n 4n(2n)! n = 0The sum of this series can be found as follows:The given series can be written in summation notation as follows:∑ n=0 ∞ (−1)n2n 4n(2n)!

This can be rearranged as follows:∑ n=0 ∞ (−1)n (4n) / [(2n)!]Therefore, this series can be represented as the Maclaurin series of cos 2x, where x = 2 (because the series is represented as 4n instead of 2n).Therefore, the sum of the series is cos (2 × 2) = cos 4.The sum of the given series is cos 4. The given series can be written in summation notation as follows:∑ n=0 ∞ (−1)n2n 4n(2n)!

This can be rearranged as follows:∑ n=0 ∞ (−1)n (4n) / [(2n)!]Therefore, this series can be represented as the Maclaurin series of cos 2x, where x = 2 (because the series is represented as 4n instead of 2n).Therefore, the sum of the series is cos (2 × 2) = cos 4. The sum of the given series is cos 4.

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Answer:

2.5 x 12 = 30

3.5 x 2.5 = 8.75

30 + 8.75 = 38.75 ft²

The new coordinates of the image are

A' (1, -5)  

B' (5, -3)

C' (3, -1)

The coordinates of the preimage are

A (1, 3)

B (5, 1)

C (3, -1)

The absolute distance of the y coordinates to line y = -1 is obtained and added used to get the distance from -1 in any side of the reflection

Reflection over line y (x, y) → (x, -y) this considers only the y values

A (1, 3) from 3 to -1 is 4 units hence -1 - 4 = -5 = A' (1, -5)  

B (5, 1) from 1 to -1 is 2 units hence -1 - 2 = -3 = A' (5, -3)  

C (3, -1) from -1 to -1 is 0 units hence -1 - 0 = -1 = A' (3, -1)  

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Credit card limits are included in M2 but not M1. The correct answer is b.

M1 and M2 are measures of the money supply that are used by economists and policymakers to analyze the state of the economy and make monetary policy decisions.

M1 includes the most liquid forms of money, such as physical currency, traveler's checks, demand deposits, and other checkable deposits. M2 includes all of the components of M1, as well as less liquid forms of money, such as savings accounts, money market accounts, and time deposits.

Credit card limits are not included in M1, as they do not represent actual money or funds that are available for immediate spending. Credit cards represent a line of credit, which is a promise by the credit card issuer to lend money to the cardholder up to a certain limit. As such, credit card limits are not considered part of the money supply, and are not included in M1.

However, credit card limits are included in M2, as they represent a potential source of funds that can be used for spending or saving. Even though credit card limits are not immediately available as cash or funds that can be spent, they can be used to obtain loans or other forms of credit that can be used to make purchases or investments.

As such, credit card limits are considered part of the broader definition of the money supply that is included in M2. The correct answer is b.

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Answer:

A is correct:  12r5

Step-by-step explanation:

7 divides into 89 12 times with a remainder of 5.  Answer A is correct:  12r5

Answer: True

Step-by-step explanation:    

Given that the production function of a firm is f(x1, x2) = x1^(1/3) * x2^(2/3), where price of x1 = 1 and price of x2 = 2. Let's derive the conditional demand for x1 and cost function c(y).

Conditional demand for x1 can be derived as:

∂f(x1, x2)/ ∂x1 = (∂/∂x1) (x1^(1/3) * x2^(2/3))= (1/3) * x1^(-2/3) * x2^(2/3)

Now, put the value of x2 = (y/ x1^(1/3))^3 in the above equation.

∂f(x1, x2)/ ∂x1 = (1/3) * x1^(-2/3) * (y/ x1^(1/3))^2 = (1/3) * y^2 * x1^(-4/3)

Since price of x1 = 1, the cost function can be written as c(y) = w1 * x1 + w2 * x2 = x1 + 2x2 = x1 + 4(y/ x1^(1/3))

The cost function of the firm is

c(y) = x1 + 4y^(1/3) * x1^(-1/3) = x1 + 4y^(1/3)/x1^(1/3)

In order to maximize the profit, we need to differentiate the cost function with respect to x1 and equate it to zero.

(c(y))/d(x1) = 1 - 4/3 * y^(1/3) * x1^(-4/3) = 0

x1 = (3/4) * y^(1/3)

On substituting the value of x1 in the cost function, we get:  

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To calculate how much Gina will spend on squash for making pumpkin pies, we can multiply the required weight of squash by the cost per pound.

Weight of squash = 8.8 pounds

Cost per pound = $0.93

Total cost = Weight of squash * Cost per pound

= 8.8 * $0.93

= $8.16

Therefore, Gina will spend approximately $8.16 on squash for making pumpkin pies for Thanksgiving dinner.

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Answer:

x: represents the number of reward miles

traded in and is always an integer value.

f(x): represents the value of the reward in

dollars.

Tristan and Delaney are tasked with testing

the system and made the following reward

redemptions.

• Tristan traded in 1500 miles for a $290

Chloe put approximately 6 pounds of potting soil in each pot.

To find out how many pounds of potting soil Chloe put in each pot, we need to divide the total weight of the bag (40 pounds) by the number of flowerpots (7).

Using division, we have: 40 ÷ 7 = 5.7142857

Since we're dealing with whole numbers, we need to round the decimal to the nearest whole number. In this case, the decimal is closer to 6 than 5, so we round up to 6.


The two whole numbers between which the number of pounds of potting soil falls are 5 and 6.

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Answer: y=.256x

Step-by-step explanation:

This line has the smallest coefficient for x.

Answer:

PART A

FIGURE 1

PART 2

B

I HOPE IT HELP TO YOU:)

Based on this data, for every inch in height, the arm span increases by 1.1 inches.

Here, we have,

I put the height of people on the x-axis because this is what I am trying to correlate the arm span to. I put the arm span on the y-axis because it is dependent on height.

I used point (60,61) and (70,72) to draw the line of best fit and to get the equation. First, to get the slope I would use the slope formula of m = 72-61/70-60 or 11/10 to get a slope of approximately 1.1. Then I used (60,61) to get the rest of the equation by plugging it in: y-61 = 1.1(x -60). This becomes y-61 = 1.1x - 66. Add 61 to both sides and the final equation is y = 1.1x – 5.

The slope represents the rate of change arm span based on height. The y intercept is the arm span.

Using points (66,68) and points (70,72) I plug each into the equation y=1.1x-5 to figure each out based on the difference from the actual points and get .4 for (66,68) and 0 for point (70,72) so I would say, based on .4 and 0 for these two points that this is a good line of best fit.

Based on this data, for every inch in height, the arm span increases by 1.1 inches.

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complete question:

There are many measurements of the human body that are positively correlated. For example, the length of one's forearm (measured from elbow to wrist) is approximately the same length as the foot (measured from heel to toe). They are positively correlated because, as one measurement increases, so does the other measurement.

Hypotheses are always statements about population parameters, which are unknown values that we are trying to infer from the sample data. The correct option is a, c and d.

Hypotheses are always statements about population parameters. In statistical hypothesis testing, the null hypothesis is a statement about the population parameter that is being tested. The alternative hypothesis is a statement that contradicts the null hypothesis and proposes a different value for the population parameter.

For example, if we want to test whether the mean weight of a population of apples is 100 grams, then the null hypothesis would be that the mean weight is equal to 100 grams, and the alternative hypothesis would be that the mean weight is not equal to 100 grams.

It is important to note that hypotheses are not statements about sample statistics or estimators, which are values calculated from the sample data. Hypotheses are about the population parameter, which is an unknown value that we are trying to infer from the sample data.

The sample size, on the other hand, is an important factor in determining the accuracy and reliability of the estimate of the population parameter, but it is not the subject of the hypothesis itself.

In summary, The sample statistics, estimators, and sample size are important factors in statistical inference, but they are not the subject of the hypothesis itself.  The correct option is a, c and d.

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Answer:

7x^2*(x-4)*(x+6)

Step-by-step explanation:

7x^4 + 14x^3 - 168x^2

common factor 7x^2

7x^2*( x^2+2x-24)

now we factor ( x^2+2x-24)

(x-4)*(x+6)

Solution

7x^2*(x-4(*(x+6)

The factorized form 7x²(x-4)(x+6) of the polynomial 7x⁴ + 14x³ - 168x².

What is polynomial ?

The polynomial is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

Given polynomial as:

7x⁴ + 14x³ - 168x²

There is a common factor 7x²

7x²( x² + 2x - 24)

To determine the factor of ( x² + 2x - 24)

⇒ 7x²( x² + 2x - 24)

⇒ 7x²( x² + 6x - 4x -24)

⇒ 7x²[x(x+6) - 4(x+6)]

⇒ 7x²(x-4)(x+6)

Hence, the factorized form 7x²(x-4)(x+6) of the polynomial 7x⁴ + 14x³ - 168x².

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Teen awareness refers to the level of knowledge, understanding, and consciousness that teenagers have about various issues, including but not limited to social, environmental, health-related, and global concerns.

1) In Colorado, teens' awareness of seat belt messages increased by __ percentage points.
The answer choices provided are a.) 6 b.) 14 c.) 17 d.) 23.

2) In Nevada, teens' awareness of seat belt messages increased by __ percentage points.
The answer choices provided are a.) 6 b.) 14 c.) 17 d.) 23.

3) The result of changes in teen seat belt use is unclear as you did not provide any specific information or data to analyze.

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There are 6,158,592 ways to place the passengers into the vans.

Since each van has 9 passenger seats and there are a total of 10 people, it is not possible to place all of them in one van.

Thus, we need to consider two cases:

9 people in the blue van, 1 person in the red van.

There are 10 ways to choose the person who will ride in the red van, and the remaining 9 people will go in the blue van.

There is only 1 way to arrange the passengers in the red van, and 9! ways to arrange the passengers in the blue van.

The total number of ways for this case is:

10 x 9! = 3,628,800

8 people in the blue van, 2 people in the red van.

There are 45 ways to choose the two people who will ride in the red van, and the remaining 8 people will go in the blue van.

There are 2 ways to choose which person will sit in which seat in the red van, and 8!/(2!6!) ways to arrange the passengers in the blue van.

The total number of ways for this case is:

45 × 2 × (8!/2!6!) = 45 × 2 × 28 × 7! = 2,529,792

The total number of ways to place the passengers into the vans is:

3,628,800 + 2,529,792 = 6,158,592

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The definitional formula is easy to use when the mean is a whole number, the range of scores is small, and there are either relatively few scores or many of them are zero.

The definitional formula is an equation used to calculate the mean of a set of scores. It is easy to use when the mean of the scores is a whole number, meaning there is no need to round. Additionally, if the range of scores is small, it is easier to find the mean, as there is less data to consider. Furthermore, the formula is easier to use when there are either relatively few scores or many of them are zero. This is because there is less data to consider, meaning the mean can be found more quickly. When there are many scores, and the range is large, it can be difficult to calculate the mean using the definitional formula. In this case, it is often more efficient to use an alternate method such as the arithmetic mean.

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The complete question is

Under what circumstances is the definitional formula easy to use

-When the mean is a whole number and there are relatively few scores

-When the mean is a whole number and the range is small

-When the mean is a whole number and there are many scores

-When there are relatively few scores and many of them are zero

Answer:

10 + 8 + 2 = 20 feet apart

The result is approximately 0.839 or 83.9%.

In a newspaper report, it was mentioned that out of 2 million lie detector tests, an estimated 300,000 produced erroneous results. The probability of an erroneous result in these tests can be calculated using the given information. Let P (erroneous result) be the probability of an erroneous result in these tests.

P (erroneous result) = 300,000/2,000,000 = 0.15 Now we need to find the probability that at least one of the ten tests picked at random from these 2 million tests produced an erroneous result. Let P (at least one erroneous result in ten tests) be the probability of getting at least one erroneous result in ten tests.

P (at least one erroneous result in ten tests) = 1 - P (no erroneous result in ten tests)

P (no erroneous result in ten tests) = (1 - P (erroneous result))^10

P (no erroneous result in ten tests) = (1 - 0.15)^10

P (no erroneous result in ten tests) = 0.161

Therefore, P (at least one erroneous result in ten tests) = 1 - P (no erroneous result in ten tests)

P (at least one erroneous result in ten tests) = 1 - 0.161

P (at least one erroneous result in ten tests) = 0.839

So, the chance that at least one of the ten tests picked at random from these 2 million tests produced an erroneous result is approximately 0.839 or 83.9%.

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Answer:

Undefined

hope this helps! plz mark brainliest? :)

Random assignment and random selection are both important concepts in research methodology, but they refer to different processes.

Random selection refers to the process of selecting individuals or elements from a population to be included in a study. The goal of random selection is to ensure that the sample is representative of the larger population. This helps to increase the generalizability of the findings to the population as a whole. For example, if a researcher wants to study the academic performance of high school students in a particular city, they might use random selection to select a sample of students from different schools in that city. This helps to ensure that the sample represents the diversity of students in the population.

On the other hand, random assignment refers to the process of assigning participants to different groups or conditions in a study. The goal of random assignment is to minimize any pre-existing differences between the groups, making it more likely that any differences observed between the groups can be attributed to the independent variable being studied. For example, if a researcher wants to investigate the effectiveness of a new teaching method, they might randomly assign half of the participants to receive the new method and the other half to receive the traditional method. Random assignment helps to ensure that the groups are comparable at the start of the study, reducing the likelihood of confounding variables.

In summary, random selection is about selecting a representative sample from a population, while random assignment is about assigning participants to groups or conditions in a study. Both processes are important in research methodology to ensure accurate and reliable findings.

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The person who is an american author, anthropologist, and filmmaker who portrayed racial struggles in the early 1900 american south and published research on hoodoo is Zora Neale Hurston.

She is known for portraying racial struggles in the early 1900s American South and published research on hoodoo. Her most popular novel, "Their Eyes Were Watching God," was published in 1937. She also wrote over 50 short stories, plays, and essays.

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Answer: 4 and -9

Step-by-step explanation:

x(x+5)

def longest_palindromic_substring(s):
   def is_palindrome(sub):
       return sub == sub[::-1]
   
   n = len(s)
   if n == 0:
       return ""
   
   ans = s[0]
   

To solve this problem, we can use the following approach:

1. Create a function to check whether a given substring is a palindrome or not. We can do this by comparing the first and last characters of the substring and then moving towards the center until we have checked all the characters.

2. Start with a substring of length one and check if it is a palindrome. If it is, we update our answer to be this substring.

3. Then we expand our substring by adding one character to the left and one to the right. We check if this new substring is a palindrome, and if it is, we update our answer to be this substring.

4. We keep expanding our substring until we reach the end of the string. At each step, we check if the substring is a palindrome and update our answer accordingly.

5. Finally, we return the longest palindrome substring we found.

Here's the Python code for this approach:

```
def longest_palindromic_substring(s):
   def is_palindrome(sub):
       return sub == sub[::-1]
   
   n = len(s)
   if n == 0:
       return ""
   
   ans = s[0]
   
   for i in range(n):
       for j in range(i+1, n+1):
           sub = s[i:j]
           if is_palindrome(sub) and len(sub) > len(ans):
               ans = sub
               
   return ans
```

This solution has a time complexity of O(n^3) because we are checking all possible substrings of the input string. However, we can optimize this solution by using dynamic programming or Manacher's algorithm to reduce the time complexity to O(n^2) or O(n), respectively.

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Answer: 8.1

Step-by-step explanation:

ok so whenany thing say a letter then (x). it simply means whats the answer to tht equation if x=#. in this case it means what would the answer of the equation be if t= 1.

First you input 1 in place for all values of t

f(1)= -4.9(1)^2 +3(1)+ 10

-4.9(1)^2= -4.9

then

3(1)= 3

-4.9+ 3+10= 8.1

Answer:

The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.

Step-by-step explanation:

This statement is true

A probability is a numerical value that indicates the chance, or likelihood, of a specific event occurring. Probability is the measure of the likelihood of a random event happening, and it is expressed as a number between 0 and 1, with 0 implying that the event would never occur and 1 implying that it is certain to happen.

The probability of an event happening is referred to as its likelihood. Probability can be expressed as a fraction, percentage, or decimal, and it is a vital tool in statistics. It is frequently utilized in mathematics to estimate real-world situations that involve random variables such as coin flips, weather patterns, stock market trends, and even sporting events.

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Step-by-step explanation:

10 + 3x = 30 + 7x

collect terms that look alike on one side.

we can see that 3x & 7x have something in common which is x.

so move one of these to either of the equality's sides.

0 = 30 + 7x -10 - 3x

i changed the sign of 3x to -3x & 10 to -10 because we'll have to subtract 3x or 10 from the left side inorder for them to vanish & appear on the right hand side.

collect like terms.

0 = 30 - 10 + 7x - 3x

0 = 20 + 4x

take 20 to the left side to find x by dividing by 4.

20 = 4x

20 / 4 = x

5 = x