Suppose that the function g is defined for all real numbers

Answer: The ratio between the units of measurement of nanometers and inches is 0.5 nm to 10 inches. This means that for every 0.5 nanometers, the equivalent measurement in inches is 10 inches.

We can use this ratio to find the conversion of other values from nanometers to inches as well.

We know that 1 nm = 20 inches, we can multiply the value 1 by 20 to get 20 inches

So 3 nm will be 3 * 20 = 60 inches

so, the value that can be placed in the ratio table where the question marks (?) are would be 1 nm = 20 inches

and 3 nm = 60 inches.

Step-by-step explanation:

Person 3's payment exceeded person 2's payment by $20.

To find out how much more person 3 paid than person 2, we need to calculate the amounts each person paid based on the given ratio and then compare their payments.

The ratio given is 1:2:3, which means that person 1 gets 1 part, person 2 gets 2 parts, and person 3 gets 3 parts of the total amount.

Step 1: Calculate the total number of parts in the ratio.

1 + 2 + 3 = 6

Step 2: Determine the value of one part.

$120 (total amount) divided by 6 (total number of parts) = $20

Step 3: Calculate the payments for each person based on the ratio.

Person 1: 1 part * $20 = $20

Person 2: 2 parts * $20 = $40

Person 3: 3 parts * $20 = $60

Therefore, person 3 paid $60, while person 2 paid $40. To find out how much more person 3 paid than person 2, we subtract the amount person 2 paid from the amount person 3 paid:

$60 - $40 = $20

Hence, person 3 paid $20 more than person 2.

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The correct way to calculate the percent change between the original value of $750 and the new value of $1,000 is option C.

C. (1,000 - 750)/750 = 250/750 = 1/3 ≈ 0.3333 = 33.33%

Therefore, the correct answer is option C, which represents a percent change of approximately 33.33%.

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.

To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.

First, let's simplify the equation:

2^x - 2 = 8^4

We know that 8 can be expressed as 2^3, so we can rewrite the equation as:

2^x - 2 = (2^3)^4

Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:

2^x - 2 = 2^(34)

Simplifying the right side of the equation:

2^x - 2 = 2^12

Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:

x = 12

Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.

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First, lets find how many students want the supreme pizza. Let 'x' be the number of those students. Then, given the information, we have:

solving for 'x', we get:

we have that x = 14 students want a supreme pizza.

Now, if we suppose that the 50 students are the 100%, then, using a rule of three, we get:

therefore, 28% of the students want a supreme pizza

Answer:

5.9 years.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

In this question:

Mean of the population is \(\mu = 5.9\)

If a sampling distribution is created using samples of the ages at which 69 children begin reading, what would be the mean of the sampling distribution of sample means?

By the Central Limit Theorem, the same population mean, of 5.9 years.

Answer:

2x + 8x

10x

Step-by-step explanation:

Open the brackets and multiply x inside.

Answer:

2x(8)

Step-by-step explanation:

multiply. 2x by 8 and get 16x

a) The determination of the standard quota for the Dagonal district is 40.57%.

b) 1. The standard divisor is 267.19 (4,275/16).

2. The standard, lower, and upper quotas for the four districts are as follow:

                                North         South           East         West      

Standard quota     18.36%       26.32%     45.61%       9.71%

Lower quota             18%          26%            45%            9%

Upper quota             18%          26%            46%           10%

The quota method of apportionment is the use of the standard divisor to round off standard quotas, according to some agreed ground norms.

When the standard quota is rounded down to an integer, it gives the lower quota, and rounding up gives the upper quota.

The standard divisor is calculated as the total population divided by the total number of seats.

The standard divisor gives the average number of people represented by a Board or seat member.

Data and Calculations:

Residents of Hamilton, NY = 73,465

Board Trustee Members = 12

                              Basel         Heights       Dagonal      Total

Population            13,244         30, 415        29,806    73,465

Proportion            18.03%        41.40%         40.57%      100%

Allocation of Board

Seats                         2                  5                 5               12

Number of seats = 16 seats

                              North         South         East         West      Total

Population               785           1,125         1,950        415       4,275

Proportion            18.36%       26.32%     45.61%       9.71%    100%

Allocation of Board

Seats                        3                 4                7              2          16

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the growth of a plant or the amount of money you'll have off a banks interest overtime

For the given inequalities 7p+5<=-37 and -10p <10 , there is no solution

Given :

7p+5<=-37 and -10p <10

Solve each inequality and find the interval notation

Lets consider first inequality

\(7p+5\le \:-37\\\mathrm{Subtract\:}5\mathrm{\:from\:both\:sides}\\7p\le \:-42\\\mathrm{Divide\:both\:sides\:by\:}7\\p\le \:-6\)

Now consider second inequality

\(-10p<10\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\10p>-10\\\frac{10p}{10}>\frac{-10}{10}\\p>-1\)

\(\mathrm{Combine\:the\:intervals}\\p\le \:-6\quad \mathrm{and}\quad \:p>-1\)

Both the inequalities does not overlaps

So , No solution

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Answer:

Step-by-step explanation:

f(x)=2x³+5x²-8x-2

     +     +     -     -

there is only one change of sign.

Hence it has only one positive rational root.

f(-x)=-2x³+2x^2+8x-2

       -       +        +   -

it has two negative rational roots.

or  two negative irrational roots.

∵irrational roots always occur in pairs.

possible rational roots are 1 or 3

......,,........,.....-.......

The median would best describe the centre of the distribution for a highly skewed right histogram of US household income.  The correct option is A.

The median is the value that separates the distribution into two equal parts and is less influenced by extreme values than the mean.

Since a highly skewed right distribution has a long tail on the right side, the mean is likely to be pulled towards that tail, making it an unreliable measure of the centre.

The mode, or most frequently occurring value, may not be useful for describing the centre of a skewed distribution. The variance is a measure of the spread or dispersion of the data, not its centre.

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A repeating decimal is acceptable to use during calculations when you require a certain level of precision

A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.

It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.

On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.

Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.

Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.

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While an absolute value may be any number, the output from an absolute value expression is always greater than or equal to zero

The absolute value | x | of a real number x is defined as the non-negative value of x without regard to its sign. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero along real number line.

The absolute value of any number is seen to be always greater than or equal to zero. Both a number and its opposite are the same distance from zero on the number line. Since they have the same distance from zero, they have the same absolute value.

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The volume of cone is 175 m³

Firstly,

Volume of Pyramid.

The volume (V) of a pyramid is  

V = ⅓Ah

Data:

V = 175m³

Calculation:

175 = ⅓× A× h

Ah = 175*3

Ah = 525m³

Secondly,

The volume (V) of a cone is

V = ⅓Ah

Data:

Ah = 525 m³

Calculation:

V = ⅓ A× h

V = 175 m³

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The different combinations of selecting 4 cars out of 10 are 210. And the different permutations of 4 cars to test drive are 5040.

What are permutations and combinations?

They are the ways of selecting things at random and in permutations is where the order of things matter whereas in combinations it does not matter in which order the objects are selected. To determine permutations and combinations formula is derived in which 'r' things are selected out of 'n' things, represented as P(n,r) and C(n,r).

The permuatations is given by the formula:

P(n,r) = n! ÷ {r! (n-r)!}

C(10,4)= 10! ÷ {4! (10 - 4)!}

          =10! ÷ {4! 6!}

          =\(\frac{10.9.8.7.6.5.4.3.2.1}{4.3.2.1.6.5.4.3.2.1}\)

          =210

P(n,r) = n! ÷ {(n-r)!}

P(10,4)= 10! ÷ {(10 - 4)!}

          =10! ÷ {6!}

          =\(\frac{10.9.8.7.6.5.4.3.2.1}{6.5.4.3.2.1}\)

          =5040

There would be 210 combinations and 5040 permutations on chosing 4 cars out of 10.

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You can test drive any of the 5,040 possible combinations and 2,520 possible permutations of the four vehicles on your list.

To find the number of different permutations, we use the formula nPr = n!/(n-r)!, where n is the total number of items (in this case, 10) and r is the number of items being chosen (in this case, 4).

So, the number of different permutations would be 10P4 = 10!/(10-4)! = 10x9x8x7 = 5,040.

To find the number of different combinations, we use the formula nCr = n!/r!(n-r)!.

So, the number of different combinations would be 10C4 = 10!/4!(10-4)! = 10x9x8x7/(4x3x2x1) = 2,520.

Therefore, there are 5,040 different permutations and 2,520 different combinations of the 4 cars on your list that you can test drive.

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Answer:

For a rectangular prism-like swimming pool: \(V = w\cdot l \cdot h\). \(V = 360\,ft^{3}\) when \(h = 5\,ft\), \(l = 12\,ft\) and \(w = 6\,ft\).

Step-by-step explanation:

Let assume that swimming pool has a rectangular base and depth is the same  at any point at the bottom. In addition, let \(w\) and \(l\) be the width and length of the swimming pool. Then, the volume needed to fill the swimming pool is:

\(V = w\cdot l \cdot h\), where \(h\) is the depth of the pool.

Let be \(h = 5\,ft\), \(l = 12\,ft\) and \(w = 6\,ft\). The volume of the swimming pool is:

\(V = (6\,ft)\cdot (12\,ft)\cdot (5\,ft)\)

\(V = 360\,ft^{3}\)

Answer:

3280.84

Step-by-step explanation:

Time series forecasts are developed based on time series analysis, which comprises methods for analyzing time series data to extract meaningful statistics and other characteristics of the data.

One of the most often used data science techniques in business, finance, supply chain management, production, and inventory planning is time series forecasting.

A time component is often present in prediction difficulties, necessitating the extrapolation of time series data or time series forecasting. Another crucial field of machine learning (ML) is time series forecasting, which may be viewed as a supervised learning issue.

It can be subjected to ML techniques including regression, neural networks, support vector machines, random forests, and XGBoost. Using models created from historical data to anticipate future observations is known as forecasting.

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Answer:

Step-by-step explanation:

If 11 flights were sampled with an 85% on-time arrival rate, the number of flights from the sample that arrived on time would be estimated to be 9.35, which would round to 9 flights.

This can be solved by:

(0.85x11)= 9.35

Since there can't be .35 of a flight, we would round to the nearest whole number, which would just be 9.

The final answer= 9 flights

Answer:

it's 0.5

Step-by-step explanation:

The best estimate of the correlation coefficient for the data set is 0.5.

So, option c is the correct answer.

The correlation coefficient is a measure of how similar two datasets are acting.

The range of correlation coefficient is [-1, 1]

When the correlation coefficient comes out as -1, it means that both the datasets are negatively oppositely correlated. One data increases, and other data starts to decrease in the opposite direction.

When the correlation coefficient comes out below 0, values are negatively correlated.

If the correlation coefficient comes out as 0, that means both the data sets are uncorrelated with respect to how we compare them.

When the correlation coefficient comes out > 0, that means both datasets' values are positively correlated.

If the correlation coefficient comes out as 1, then the values grow exactly similarly, in the same direction.

The best estimate of the correlation coefficient for the data set is 0.5.

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Answer:

jajaja que no te he buscado en mi hija pero si

Queremos derivar la expresión dada, obtendremos el resultado:

\(y' = \frac{3x^2 - 2}{(3x^3 - 2x + 5)^{2/3}}\)

Asumo que la expresión dada es:

\(y = \sqrt[3]{3x^3 - 2x + 5} = (3x^3 - 2x + 5)^{1/3}\)

Para derivar esto primero usamos la regla de la composición, si:

f(x) = g(h(x))

entonces la derivada de la función f(x) se puede escribir como:

f'(x) = g'(h(x))*h'(x)

Usando está regla y tomando:

Obtendremos:

\(y = (1/3)*\frac{3*3x^2 - 2}{(3x^3 - 2x + 5)^{2/3}} = \frac{3x^2 - 2}{(3x^3 - 2x + 5)^{2/3}}\)

Lo cual nos da la derivada deseada.

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Answer:A

Step-by-step explanation:

To find the rate of decay, we need to use the formula A(t) = P(0.82)^t, where A(t) is the amount after t years, P is the initial amount, and 0.82 is the decay factor.

The decay factor is equal to 1 minus the decay rate, so we can solve for the decay rate as follows:

0.82 = 1 - r

r = 1 - 0.82

r = 0.18

Therefore, the rate of decay is 18%, which corresponds to answer choice A.

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

area of square=side ×side

we have, side=x+8

also we have area of square=64cm²

∴  (x+8)cm×(x+8)cm=64cm²

⇒x²+16x+64=64                            ∵( a+b )²=a²+b²+2ab

⇒x²+16x=0

⇒x(x+16)=0

∴x=0 or x=-16