Which problem could be solved using this equation? 12x + 3 = 39

A. Three eggs fewer than some dozen make a total of 39 eggs. How many dozens are there?

B. Three inches and some number of feet have a total measurement a of 39 inches. How many feet are there?

C. One dozen regular milk cartons and some 3-packs of chocolate milk make a total of 39 cartons. How many 3-packs are there?

D. An order with 12 books and 3 magazines is in a box of 39 items. How many other items are in the box?​

The interval of convergence for the given power series is (2, 8).

To find the interval of convergence for the given power series. We have the power series:

∑(n=2 to ∞) ((x-5)ⁿ)/(3ⁿ)

To find the interval of convergence, we'll use the Ratio Test. For the Ratio Test, we need to compute the limit:

L = lim (n → ∞) |(a_(n+1)/a_n)|

For our series, a_n = ((x-5)ⁿ)/(3ⁿ). Therefore, a_(n+1) = ((x-5)(n+1))/(3(n+1)). Now, let's compute the ratio:

|(a_(n+1)/a_n)| = |(((x-5)(n+1))/(3(n+1))) / (((x-5)ⁿ)/(3ⁿ))|

Simplify the expression:

|(a_(n+1)/a_n)| = |(x-5)/3|

The series converges if L < 1. So we have:

|(x-5)/3| < 1

Now, we'll solve for x to find the interval of convergence:

-1 < (x-5)/3 < 1

Multiply each term by 3:

-3 < x-5 < 3

Add 5 to each term:

2 < x < 8

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The argument presented is an example of a fallacy known as affirming the consequent, which incorrectly assumes that if the consequent of a conditional statement is true, then the antecedent must also be true. It fails to consider other possibilities and overlooks the fact that not all square shapes are cubes.

The argument presented is an example of a fallacy known as affirming the consequent, which is a formal logical fallacy. This fallacy occurs when one assumes that if the consequent (the "then" part) of a conditional statement is true, then the antecedent (the "if" part) must also be true.

In this case, the argument incorrectly assumes that because all cubes are square (if cube, then square) and a dice is a cube, then the dice must be square. However, this reasoning is flawed. While it is true that all cubes are square, not all square shapes are cubes. Therefore, even though a dice is a cube, it does not necessarily mean that it must be square.

The argument fails to consider other possibilities, such as the fact that cubes can have other shapes besides squares, like rectangular cubes. This logical error highlights the importance of careful reasoning and avoiding fallacies when making arguments.

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Answer:

n = 250

Step-by-step explanation:

-17 + \(\frac{n}{5}\) = 33

\(\frac{n}{5}\) = 33 +17

\(\frac{n}{5}\) = 50

(\(\frac{5}{1}\)) (\(\frac{n}{5}\)) = 50 *(5)

n = 250

check: -17 + \(\frac{250}{5}\) = 33

-17 + 50 = 33

33 = 33

Answer:

f(x)=(x+1)(x+2)(x+3)(x+4)+2019

f(x)=(x2+5x+4)(x2+5x+6)+2019

Suppose that y=x2+5x

Hence we have f(y)f(y)=(y+4)(y+6)+2019=y2+10y+24+2019=y2+10y+25+2018=(y+5)2+2018≥2018[∵(y+5)2≥0,∀y∈R]

and therefore…. min (f(x))=2018

ANSWER = 2018

Step-by-step explanation:

hope that helps >3

Answer:

2018

Step-by-step explanation:

By grouping the first, last and two middle terms, we get (\(x^{2}\)+5x+4)(\(x^{2}\)+5x+6) + 2019. This can then be simplified to (\(x^{2}\)+5x+2)^2 - 1 + 2019 Noting that squares are nonnegative, and verifying that \(x^{2}\) + 5x + 5 = 0 for some real x, the answer is 2018.

In the special case of two degrees of freedom, the chi-squared distribution does not coincide with the exponential distribution. The chi-squared distribution is a continuous probability distribution that arises in statistics and is used in hypothesis testing and confidence interval construction. It is defined by its degrees of freedom parameter, which determines its shape.

On the other hand, the exponential distribution is also a continuous probability distribution commonly used to model the time between events in a Poisson process. It is characterized by a single parameter, the rate parameter, which determines the distribution's shape.

While both distributions are continuous and frequently used in statistical analysis, they have distinct properties and do not coincide, even in the case of two degrees of freedom. The chi-squared distribution is skewed to the right and can take on non-negative values, while the exponential distribution is skewed to the right and only takes on positive values.

The chi-squared distribution is typically used in contexts such as goodness-of-fit tests, while the exponential distribution is used to model waiting times or durations until an event occurs. It is important to understand the specific characteristics and applications of each distribution to appropriately utilize them in statistical analyses.

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Pascal's Triangle is used to simplify the process of binomial expansion

The correct response:

Pascal's Triangle is an array of numbers arranged in a triangular pattern

that gives a binomial expansion coefficients.

Pascal's Triangle is presented in the form;

\({}\)                   1

               1    \({}\) 1

             1 \({}\)    2     1

         1      3     \({}\)3      1

   1   \({}\)     4      6     4       1

1\({}\)        5      10    10     5       1

Therefore, we have;

(x + y)⁰ = 1

(x + y)¹ = x + y

(x + y)² = x² + 2·x·y + y²

(x + y)³ = x³ + 3·x²·y + 3·y²·x + y³

(x + y)⁴ = x⁴ + 4·x³·y + 6·x²·y² + 4·x·y³ + y⁴

(x + y)⁵ = x⁵ + 5·x⁴·y + 10·x³·y² + 10·x²·y³ + 5·x·y⁴ + y⁵

The coefficients of the above, binomial expansion corresponds to the

values on each row on the Pascal's Triangle.

Therefore;

Alby's statement that the numbers in Pascal's Triangle are the values of the

exponents on the variables in a binomial expansion, is not correct.

The correct option is therefore;

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Answer:

No. The values in Pascal's Triangle are the values of the coefficients in a binomial expansion.

Step-by-step explanation:

Based on the given pattern:

2 x 4 + 1 = 3 x 3

3 x 5 + 1 = 4 x 4

4 x 6 + 1 = __ + __

__ x 7 + 1 = __ x __

__ x __ + __ = __ + __

The general pattern is that the first term is multiplied by one more than itself, and then 1 is added to the result, which is equal to the second term squared.

When the first term is 25, the equation would look like:

25 x 26 + 1 = __ + __

The first blank would be filled with 26, and the second blank would be filled with 676 (which is 26 squared). So the complete equation would be:

25 x 26 + 1 = 26 + 676

Answer:

(6,2)

Step-by-step explanation:

U is at (4, -2)

shifting to the right and up means that you will add 2 to x and 4 to y

(6,2)

Answer:

The last one

Step-by-step explanation:

in the second part, x2 could to pull out as x

Answer:

D

Step-by-step explanation:

took it on edge.

Answer:

24 Units.

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

False
While it is true that the general solution of a 2nd-order ODE of the form y''=c is given by y(t)=c/2*t^2 +bt+1, not all solutions are parabolas. Parabolas are a specific type of quadratic function with a constant value of a, which determines the curvature. In this general solution, 'a' is represented by c/2, and it can take any real value. So, although the solutions are quadratic functions, they are not necessarily parabolas.

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Rounding to the nearest hundredth is all about approximating the number to the nearest two decimal places.

To round to the nearest hundredth means to approximate a number to the nearest two decimal places. This is done by looking at the digit in the thousandth place and determining whether it should be rounded up or down.

Here's a step-by-step process:

1. Identify the digit in the thousandth place. For example, in the number 3.4567, the digit in the thousandth place is 5.

2. Look at the digit to the right of the thousandth place. If it is 5 or greater, round the digit in the thousandth place up by adding 1. If it is less than 5, leave the digit in the thousandth place as it is.

3. Replace all the digits to the right of the thousandth place with zeros.

For example, if we want to round the number 3.4567 to the nearest hundredth:

1. The digit in the thousandth place is 5.
2. The digit to the right of the thousandth place is 6, which is greater than 5. So, we round the digit in the thousandth place up to 6.
3. We replace all the digits to the right of the thousandth place with zeros.

Therefore, rounding 3.4567 to the nearest hundredth gives us 3.46.
Rounding to the nearest hundredth is all about approximating the number to the nearest two decimal places. This can be useful when dealing with measurements or calculations that require a certain level of precision.

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Answer: I think yes.

Step-by-step explanation: Why not poll the other passengers in economy? Just because their rich doesn't mean they have life stories

Yes, One of them must be even and this is because Pigeonhole Principle.

What is Pigeonhole Principle?

According to the pigeonhole principle, at least one container must hold more than one item if n things are placed into m containers, where n > m.  As an illustration, if one has three gloves (none of which are ambidextrous or reversible), at least two of them must be right-handed or left-handed as there are three items but only two categories of handedness to classify them into. It is possible to establish potentially surprising consequences using this seemingly obvious assertion, a type of counting argument.

From series {1,2......2n},  we need to select 'n+1' integers.

Even integers series from above series is {2,4,6..........2(n-1), 2n}

Odd integers series from above series is {1,3,5......2(n-2), 2n-1}

We can choose only n odd integers from the series. Therefore, if we choose n+1 integers, at least one of them must have to be even integer.

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There are 134596 ways to distribute 24 slices between 6 people

Since pizza slices are the same hence order doesn't matter and also people are distinct so it is a case of combination.

Combination in mathematics is a way of choosing or distributing selected items from a list of the total set with distinct values. It is used when there is no repetition and order doesn't matter. It can also be depicted as permutation/r!

combination = nCr =n!/(r!(n-r!)

where n is the total number of objects

r is the number of chosen objects from the total.

Now, 24c6=24!/6!18!

=24x23x22x21x20x19x18!/6!18!

=24x23x22x21x20x19/6x5x4x3x2x1

=134596

Therefore, There are 134596 ways to distribute 24 slices between 6 people

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The turbine tower that is specified to be 17 inches tall, the 17 inches of height would be measured from the base of the tower to the top of the nacelle.

To accurately measure the height of a turbine tower, it's important to define the reference point or the base from where the height is to be measured.

Typically, the height of a turbine tower is measured from the base of the tower to the top of the nacelle, which is the part of the tower that houses the generator, gearbox, and other mechanical components.

So, in the context of a turbine tower that is 17 inches tall, this 17 inches can be measured from base of the tower to the top of the tower.

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Step-by-step explanation:

m = 5

n = 8

m - n = 5 - 8 = - 3

m - n divided by 4 = - 3 /

Answer:

3

Step-by-step explanation:

PEMDAS means we divide first, and 8/4 is 2

then, we do the subtraction of 5 - 2, which is 3

The equation that can be used to find the amount Festive Features normally charges for a vest is 12(v-6)=132.

Let's break down the equation step by step. The total amount Patty paid for the 12 vests after the discount was $132. This means that the reduced price of each vest is $132 divided by 12, which is $11.

Now, let's consider the original price Festive Features charges for a vest, denoted as "v." Since the price was reduced by $6 for the bulk order, the reduced price is v - $6. According to the information given, the reduced price of each vest is $11.

Therefore, we can set up the equation: 12(v - 6) = 132. Here, 12 represents the number of vests Patty ordered, and (v - 6) represents the reduced price of each vest. By multiplying the reduced price by the quantity, we should get the total amount Patty paid, which is $132.

Simplifying the equation: 12v - 72 = 132. Adding 72 to both sides of the equation gives us 12v = 204. Finally, dividing both sides by 12, we find that v = 17. Hence, Festive Features normally charges $17 for a vest before the bulk order discount.

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Answer:

216 m³

Step-by-step explanation:

let's calculate the area of the front face and then multiply it by 4m

11*3 + (11-4)*3

(left and right triangle equal a rectangle area here)

= 33 + 21

= 54

multiplied by 4

-> 216

the last step is like multiplying with height in other exercises and other bodies

pls brainliest

Data set T has a positive correlation coefficient" and "Data set T has a correlation coefficient that is closer to 1 or -1".

The given data sets are labeled as data set S and data set T with correlation coefficients -0.91 and 0.89 respectively. Our objective is to determine which data set has a stronger linear relationship and how we know this.

Part A: Which data set has a stronger linear relationship? Solution: The strength of the linear relationship between the data sets can be judged by correlation coefficient values. A correlation coefficient is a statistical measure used to determine the strength and direction of a relationship between two variables.

It is a value between -1 and 1 where -1 indicates a perfect negative relationship, 0 indicates no relationship and 1 indicates a perfect positive relationship. The correlation coefficient closer to 1 or -1 indicates a stronger linear relationship between the two variables.

Data set T has a correlation coefficient of 0.89 which is closer to 1 as compared to data set S which has a correlation coefficient of -0.91 which is closer to -1. Therefore, data set T has a stronger linear relationship. Thus, the correct answer is "Data set T has a stronger linear relationship".

Part B: How do you know this?Solution: As explained earlier, a correlation coefficient closer to 1 or -1 indicates a stronger linear relationship between two variables.

A positive correlation coefficient indicates a positive linear relationship between two variables and a negative correlation coefficient indicates a negative linear relationship between two variables. Data set T has a positive correlation coefficient of 0.89 indicating a positive linear relationship between the two variables.

In contrast, data set S has a negative correlation coefficient of -0.91 indicating a negative linear relationship between the two variables.

Hence, we can conclude that Data set T has a stronger linear relationship than data set S because it has a higher correlation coefficient which is closer to 1.

Therefore, the correct answers are "Data set T has a positive correlation coefficient" and "Data set T has a correlation coefficient that is closer to 1 or -1".

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The y-intercept of the line is the point at which the line crosses the y-axis and the xx-intercept is the point at which the line crosses the x-axis. Both intercepts can be found by setting the respective coordinates equal to zero and solving for the other coordinate.

The x-intercept of a line is the point at which the line crosses the x-axis. This can be found by setting the y-coordinate to zero and solving for the x-coordinate. Similarly, the y-intercept is the point at which the line crosses the y-axis. This can be found by setting the x-coordinate to zero and solving for the y-coordinate. Both of these intercepts can be used to help determine the equation of the line and the slope of the line. Knowing the intercepts can also be useful in understanding the behavior of the line in relation to the origin. For example, if both intercepts are positive, it indicates that the line is always above the origin. Conversely, if both intercepts are negative, the line is always below the origin.

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Answer:

The answer to your problem is, B.

Step-by-step explanation:

The sizes what are given.

There are:

3  - 9's

3  - 8's

1  - 7

2 -10's

1-11

Which concludes to the second graph has the right amount of x's for the given shoe sizes.

Thus the answer to you problem is, B

The null hypothesis is rejected, and the confidence interval does not include 7,495 hours. We conclude that the mean life of the CFLs is different from 7,495 hours.

a. At the 0.05 level of significance, we reject the null hypothesis and conclude that the mean life of the CFLs is different from 7,495 hours.

b. The 95% confidence interval for the population mean life of the light bulbs is 7,429.8 to 7,494.2 hours.

c. The results of (a) and (c) are consistent. The confidence interval does not include 7,495 hours, which supports the conclusion that the mean life of the CFLs is different from 7,495 hours.

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If the actual mean is 18 ounces, there is a 0.0003 chance that the sample mean was 18.2 ounces or more.

Given that 18 ounces are what Kellogg estimates to be the typical weight of a box of Frosted Flaked. The average weight of the 30 cartons they sampled was 18.2 ounces. According to past data, the filling procedure's standard deviation is 0.32 ounces.

Let Y be a box weights random variable.

μ = 18 ounces

SD = 0.32 ounces

The sample size and mean are provided as,

Sample size (n)  = 30

Sample mean (y) = 18.2

Y then follows roughly the standard deviation N(μ = 18, SD = 0.32)

Z score appears as:

\(z = \frac{\sqrt{n}(y-u)} {SD}\)

where z is a normal standard variable having a mean of 0 and a standard deviation of 1.

Since sample size n is 30 and the standard deviation is given. y follows approximately Normal distribution

If the actual mean is 18 ounces, the likelihood that the sample mean will have been 18.2 ounces or more is given as,

\(P[Y \geq 18.2] = P [\frac{\sqrt{n(y - u)} }{SD} \geq \frac{\sqrt{30}(18.2- 18) }{0.32}\\ \\ =P [z\geq \frac{\sqrt{30}* 0.2 }{0.32}]\\ \\= P [z\geq \frac{1.0954}{0.32}]\\ \\=P [z\geq 3.4233]\\\\= 0.0003\)

Therefore, if the actual mean is 18 ounces, there is a 0.0003 chance that the sample mean was 18.2 ounces or more.

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Answer:

At least be nice about it bruh.

Answer:

Assuming the sequence is 1, 3, 9, x, x, x, x, and not 1, 3, 9, 1, 3, 9, the 10th term would be 19683.

Step-by-step explanation:

The pattern is to multiply each next term by 3.

The number of possibilities in a lottery where they pick three balls out of an urn with 10 balls numbered 1 to 10 is calculated using the concept of combinations. A combination is a way to select items from a larger set, where the order of the items doesn't matter.

In this case, the total number of items in the set is 10, and we need to select 3 items. The formula for the number of combinations of "n" items taken "k" at a time is given by:

C(n, k) = n! / (k! (n-k)!)

Where "n!" means "n factorial," which is the product of all positive integers up to n. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

Using this formula, we can calculate the number of combinations of 3 items taken from a set of 10:

C(10, 3) = 10! / (3! (10-3)!) = 10! / (3! 7!) = (10 x 9 x 8) / (3 x 2 x 1) = 120

So, there are 120 possible combinations of 3 balls that can be selected from an urn with 10 balls numbered 1 to 10. This means that there are 120 different ways that the three balls could be drawn, and each one is equally likely.

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Answer:

A C and D are not polynomial

Answer:

half a cup

Step-by-step explanation:

if one fourth is needed for 17 and thirty four is the double of 17, then

1/4 x 2 = 2/4

2/4 simplified is 1/2->half

The new functions are:

(f + g)(x) = 3x - 4

(g - h)(x) = 6x - 4

(f o g)(x) = 2x - 4

(g o h)(x) = -8x - 1

And the value of (f-g)(3) = -2.

To find new functions, we can combine the given functions using arithmetic operations.

(f + g)(x) = f(x) + g(x) = (x - 1) + (2x - 3) = 3x - 4

(g - h)(x) = g(x) - h(x) = (2x - 3) - (1 - 4x) = 6x - 4

(f o g)(x) = f(g(x)) = f(2x - 3) = (2x - 3) - 1 = 2x - 4

(g o h)(x) = g(h(x)) = g(1 - 4x) = 2(1 - 4x) - 3 = -8x - 1

To find (f-g)(3), we need to evaluate the function (f - g) at x = 3:

(f - g)(3) = f(3) - g(3) = (3 - 1) - (2(3) - 3) = 1 - 3 = -2

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The given question is incomplete, the complete question is

If  f(x) = x -1, g(x) = 2x - 3, and h(x) = 1 - 4x, find the following new functions, as well as any values (f-g)(3)

(f + g)(x)

(g - h)(x)

(f o g)(x)

(g o h)(x)