Select the correct answer tom each drop-down menu
F(x)=(1/2)x

Function f has a domain of
and a range of
The function
as x increases

Answer:

11+11+13+5+5+4+4=53

Step-by-step explanation:

so 4 is the answer

Answer:

2n - 10 = 12

Step-by-step explanation:

the difference of twice a number and 10 is equal to 12

= twice a number minus 10 equal to 12

=> 2n - 10 = 12

The equation to represent the given phrase is 2n-10=12. Therefore, option C is the correct answer.

The given phrase is the difference of twice a number and 10 is equal to 12.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the unknown number be n.

The difference of twice a number and 10

= 2n-10

So, equation is 2n-10=12

Now, 2n=22

n=11

The equation to represent the given phrase is 2n-10=12. Therefore, option C is the correct answer.

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The smallest value of n that satisfies the inequality is n = 7. Therefore, T_7 = -31 * (512)^(7-1) = -169869312.

For the first question, the formula for the sum of an infinite geometric series is S = a/(1-r), where a is the first term and r is the common ratio. Since r = Soo, which is greater than 1 in magnitude, the series diverges to infinity and does not converge.

For the second question, we can find T_10 by using the formula T_n = a * r^(n-1), where a is the first term and r is the common ratio. Thus, T_10 = -31 * (512)^9 = -2.64961056 × 10^25.

To find the smallest value of n for which T < 16953125, we can set up the inequality T_n < 16953125 and solve for n.

T_n = -31 * (512)^(n-1)

-31 * (512)^(n-1) < 16953125

(512)^(n-1) > -547524.1935

n-1 > log_512(-547524.1935)

n-1 > 5.3614...

n > 6.3614...

Since n must be a positive integer, the smallest value of n that satisfies the inequality is n = 7. Therefore, T_7 = -31 * (512)^(7-1) = -169869312.

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The sample of fish is taken from a lake to measure the effect that pollution from a nearby factory may have on the fish is an observational study

Observational Studies : In observational studies, the impact of a risk factor, diagnostic test, therapy, or other intervention is observed without an attempt to alter who is or is not exposed to it. There are two categories of observational studies: cohort studies and case control studies.

Experimental Studies : Experimental studies include introducing an intervention and observing its results. Typically, volunteers in experimental research are grouped randomly, or by chance.

Given data ,

Let the study be represented as A

Now , the value of A is

A = sample of fish is taken from a lake to measure the effect that pollution from a nearby factory may have on the fish

Now , it is a phenomenon of an observational study as the observed factor is not altered or exposed in any way.

Therefore , the value of A represents an observational study

Hence , the study is observational

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Answer: Analytic geometry

An ordinal scale provides more information than a nominal scale since values linked with an ordinal variable will be in natural order, whereas values connected with the nominal variable won't.

Ordinal variables as well as nominal variables are the two categories of variables listed here. This sort of variable cannot be submitted to the same forms of statistical tests as interval and ratio variables, hence it is crucial to be able to recognize them accurately. Both of these variables fall within the qualitative category. This contrasts with interval as well as rate variables, both of which are categorized as quantitative.

An illustration of an ordinal variable is a Likert scale with words for mood (such as joyful, neutral, or sad). An illustration of a nominal variable is the names of cities in the Canadian province of Alberta.

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Answer:

9/4

Step-by-step explanation:

multiply 4 and 2 and add the 1 on top which makes it 9 and the denominator stays the same which is 9/4

The value Newton's interpolating polynomial P 2(x) of f(x) of f[x0, x1] is -4.

In Newton's interpolating polynomial, the coefficients of the linear terms (x) correspond to divided differences. The divided difference f[x0, x1] represents the difference between the function values f(x0) and f(x1) divided by the difference between x0 and x1.

Since we are given P2(x) = \(x^2 + x + 2\), we can substitute the given x-values into P2(x) to find the corresponding function values.

For x0 = -3, substituting into P2(x) gives f(-3) = \((-3)^2 + (-3) + 2 = 12\).

For x1 = 1, substituting into P2(x) gives f(1) = \((1)^2 + (1) + 2 = 4\).

To calculate f[x0, x1], we need to find the divided difference between these two function values: f[x0, x1] = (f(x1) - f(x0)) / (x1 - x0) = (4 - 12) / (1 - (-3)) = -8 / 4 = -2.

Therefore, f[x0, x1] = -2, and the correct answer choice is b. -4.

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Answer:

Volume 6*6*6=216 cu

pa braintest

Answer:

($0.22/mile)x + $40/day ≤ $84/day, where x is the miles/day

Step-by-step explanation:

Let y be the cost for a day of car rental, including the mileage fee of $0.22/mile.  Let x be the number of miles driven each day.

 y =  ($0.22/mile)x + $40

The total cost for 100 miles in one day would be = ($0.22/mile)(100 miles) + $40, or $62.

But we are restricted to a daily budget of $84/day.  Since we need to spend $84/day or less, we can write an inequality:

          ($0.22/mile)x + $40/day ≤ $84/day

Let's solve for x for the case that y = $84, the upper limit of expense:

    ($0.22/mile)x + $40 = $84

     x = ($84/day-$40/day)/($0.22/mile)

x = 200 miles

We may travel up to 200 miles/day to stay with the $84/day budget.

Answer:

To determine how many miles Naomi's car can go on one gallon of gas, we first need to determine how many gallons of gas the car used to travel 15\tfrac{1}{2}15 2 1 ​ miles. We are told that the car used \frac{2}{5} 5 2 ​ of a gallon to travel this distance, so we can multiply this value by 15\tfrac{1}{2}15 2 1 ​ to get the total number of gallons used:

\frac{2}{5} \cdot 15\tfrac{1}{2} = 9

Therefore, the car used 9 gallons of gas to travel 15\tfrac{1}{2}15 2 1 ​ miles. To determine how many miles the car can go on one gallon of gas, we need to divide the total number of miles traveled by the number of gallons used:

15\tfrac{1}{2} \div 9 = \frac{31}{18}

This means that the car can go 31/18 miles on one gallon of gas. Since this fraction is not in simplest form, we can further simplify it by dividing the numerator and denominator by the greatest common factor, which is 3:

\frac{31}{18} \div \frac{3}{3} = \frac{31}{18} \cdot \frac{3}{3} = \frac{31 \cdot 3}{18 \cdot 3} = \frac{93}{54}

Therefore, the car can go 93/54 miles on one gallon of gas. This fraction can be further simplified by dividing the numerator and denominator by the greatest common factor, which is 1:

\frac{93}{54} \div \frac{1}{1} = \frac{93}{54} \cdot \frac{1}{1} = \frac{93 \cdot 1}{54 \cdot 1} = \frac{93}{54}

Therefore, the final answer is that the car can go 93/54 miles on one gallon of gas.

The rate of return for Nichole's investment is approximately 22%.

To calculate the rate of return, we need to determine the percentage increase in value from the initial investment to the final sale.

Nichole bought 500 shares at $8.24 per share, which amounts to a total investment of 500 * $8.24 = $4,120.

After one year, she sold all her shares for $10.10 per share, resulting in a total sale value of 500 * $10.10 = $5,050.

Her profit from the investment is $5,050 - $4,120 = $930.

To find the rate of return, we divide the profit by the initial investment and multiply by 100: ($930 / $4,120) * 100 ≈ 22.6%.

Therefore, her rate of return is approximately 22.6%, which corresponds to option A.

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Answer:

D. 132,651 cubes

Step-by-step explanation:

You're looking for how many cubes fit in the box. Remember cubic means 3 dimensions and squared means 2 dimensions.

Use length x width x height and converting the 4.25 feet to inches...

4.25×12=51

51×51×51=132,651

Meaning 132,651 one inch cubes would fit.

Answer:

132,651 cubes

Step-by-step explanation:

4.25 ft = 51 inches

51 x 51 x51 = 132,651 inches

1 x 1 x 1 = 1 inch cubes

so

132,651 divided by 1 = 132,651.

The decrease in Kaitlin's investment account is 7%, which is calculated by multiplying the initial $5200 by 0.07.

This gives a decrease of $364. The amount in her account at the end of the year is the initial $5200 minus the decrease of $364, which equals $4836.

This can be expressed algebraically as:

Let x = amount in Kaitlin's account at the end of the year

Initial Amount (x) = 5200

Decrease (%) = 0.07

Decrease in Dollars = x * 0.07

Decrease in Dollars = 5200 * 0.07

Decrease in Dollars = 364

Amount in Account at the End of the Year = 5200 - 364

Amount in Account at the End of the Year = 4836

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Step-by-step explanation:

The common factor in the expression is 3x, so we can factor it out:

3x(x² - 4x + 4)

Now, we can factor the quadratic expression inside the parentheses as a perfect square:

3x(x - 2)²

Therefore, the factored form of the expression is 3x(x - 2)².

Answer:

48

Step-by-step explanation:

You get the third length which is the hypotenuse then you add them all since its asking for the perimeter

Answer:

They use 741 dollars

Step-by-step explanation:

Write 65% as

65/100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

65/100 of 1140 = 65/100× 1140

Therefore, the answer is 741

If you are using a calculator, simply enter 65÷100×1140 which will give you 741 as the answer.

Amount of budget spend on costume is $741

Given that;

Total budget of student firm = $1140

Percentage of budget used = 65%

Find:

Amount of budget spend on costume

Computation:

Amount of budget spend on costume = Total budget of student firm × Percentage of budget used

Amount of budget spend on costume = 1,140 × 65%

Amount of budget spend on costume = 1,140 × 0.65

Amount of budget spend on costume = $741

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Answer:

u=27 v=9.5 w=28.5

Step-by-step explanation:

Based on the provided scenario, the statement can be classified as: b. This is a nonsampling error that causes bias.

Nonsampling errors refer to errors that occur in data collection, processing, or analysis that are not related to the sampling method.

The scenario described, where individuals may not provide truthful answers due to fear of their responses being shared with law enforcement officials, introduces a bias in the collected data.

This bias occurs because the reported data does not accurately represent the true prevalence of illicit drug use in the population.

The fear of legal consequences leads to a systematic deviation from the true values, which is a form of bias.

Therefore, option b is the correct classification for this scenario.

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Answer:

12 Cups if Cheese

Step-by-step explanation:

A scale factor is a factor that can be used to either increase or decrease the size of a given figure. Therefore, the scale factor of the enlargement is \(\frac{1}{8}\).

Scale drawing is a type of drawing that requires the use of a factor to either enlarge or reduce the size of a given figure. The factor required is called a scale factor. It can be expressed as:

scale factor = \(\frac{length of side of image}{length of side of object}\)

In the given question, the radius of the circle drawn is 3 inches, while that on the wall has a diameter of 4 feet.

Thus;

diameter of circle = 2 * 3

                             = 6 inches

But;

1 feet = 12 inches

So that;

x = 6 inches

⇒ x = \(\frac{6}{12}\)

      = \(\frac{1}{2}\)

x = 0.5 feet

Thus, the diameter of the circle is 0.5 feet.

So that;

scale factor = \(\frac{0.5 feet}{4 feet}\)

                    = 0.125

scale factor = \(\frac{1}{8}\)

The scale factor of the enlargement is \(\frac{1}{8}\).

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Answer: (-5,1)

Step-by-step explanation:

The option that indicates the limit notation showing the horizontal asymptote of the graph is the option B :  \(\lim_{x \to \infty} f(n)\)

What is an asymptote?

An asymptote is a line which as the input or output variables of a graph approaches infinity, it approaches the curve of the graph. The asymptote and the curve of the graph do not meet within a finite distance.

The horizontal asymptote is the line with equation y = b. The graph of the function approaches the horizontal asymptote as the x-value increases to +∞ or -∞

The value to which the function of the graph approaches as the value of x approaches +∞ or -∞ is the line y = 0, the function that indicates the horizontal asymptote is

Therefore, The correct option is option B :  \(\lim_{x \to \infty} f(n)\)

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Using a standard normal distribution table or calculator, we can find the probability associated with these z-scores. The probability that their score will be between 21 and 26 is approximately 0.387.

For the first question, we are given that the average weight of children with ELBW is 815 grams with a standard deviation of 100 grams. We want to find the probability that an SRS of 45 children with ELBW weighs less than 825 grams.

To find this probability, we can use the normal distribution. Since we have the mean and standard deviation, we can standardize the variable by calculating the z-score.

The z-score is calculated as (825 - 815) / (100 / sqrt(45)) = 0.474.

Using a standard normal distribution table or calculator, we can find the probability associated with this z-score. The probability that an SRS of 45 children with ELBW weighs less than 825 grams is approximately 0.678.

For the second question, we are told that the length of human pregnancies is approximately normally distributed with a mean of 266 days and a standard deviation of 16 days. We want to find the probability that the average pregnancy length for 7 randomly chosen women exceeds 270 days.

To find this probability, we can use the central limit theorem. The distribution of sample means will be approximately normally distributed with the same mean as the population and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

The standard deviation of the sample mean is 16 / sqrt(7) = 6.048.

We can now standardize the variable by calculating the z-score. The z-score is (270 - 266) / 6.048 = 0.662.

Using a standard normal distribution table or calculator, we can find the probability associated with this z-score. The probability that the average pregnancy length for 7 randomly chosen women exceeds 270 days is approximately 0.253.

For the third question, we are given that scores on the MCAT are approximately normally distributed with a mean of 25 and a standard deviation of 6.5. We want to find the probability that a sample of 10 students will have an average score between 21 and 27.

To find this probability, we can use the central limit theorem. The distribution of sample means will be approximately normally distributed with the same mean as the population and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

The standard deviation of the sample mean is 6.5 / sqrt(10) = 2.053.

We can now standardize the variable by calculating the z-scores for the lower and upper limits.

For the lower limit, the z-score is (21 - 25) / 2.053 = -1.949.
For the upper limit, the z-score is (27 - 25) / 2.053 = 0.975.

Using a standard normal distribution table or calculator, we can find the probability associated with these z-scores. The probability that this sample will have an average score between 21 and 27 is approximately 0.778.

For the fourth question, we are given that scores on the MCAT are approximately normally distributed with a mean of 25 and a standard deviation of 6.5. We want to find the probability that the score of one WSSU student will be between 21 and 26.

To find this probability, we can calculate the z-scores for the lower and upper limits.

For the lower limit, the z-score is (21 - 25) / 6.5 = -0.615.
For the upper limit, the z-score is (26 - 25) / 6.5 = 0.154.

Using a standard normal distribution table or calculator, we can find the probability associated with these z-scores. The probability that their score will be between 21 and 26 is approximately 0.387.

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a. we can express C as C = 1000h + x(20 + 25h). b. e can express h as a function of x as h = k/x. c. the optimal number of firefighters depends on the nature of the fire and the firefighting equipment used.

A. The cost of the fire, C, can be expressed as the sum of the cost of the lost timber and the cost of the firefighters. The cost of the lost timber is given by 1000h, and the cost of the firefighters is given by the product of the number of firefighters (x), the total hours worked (h), and the cost per firefighter (20 + 25h). Therefore, we can express C as:

C = 1000h + x(20 + 25h)

B. We are given that x firefighters can stop the fire in 0 hours, which means that the rate at which the fire is extinguished is proportional to the number of firefighters. Therefore, we can express h as a function of x as follows:

h = k/x

where k is a constant of proportionality that depends on the nature of the fire and the firefighting equipment.

C. To find the number of firefighters that should be used to minimize the cost of the fire, we need to find the value of x that minimizes the function C. To do this, we can take the derivative of C with respect to x and set it equal to zero:

dC/dx = 20 + 25h - k/x^2 = 0

Substituting the expression for h in terms of x, we get:

20 + 25(k/x^2) - k/x^2 = 0

Simplifying, we get:

k/x^2 = 20/5

x^2 = k/4

This shows that x should be inversely proportional to the square root of k. Since k is a constant that depends on the nature of the fire, we cannot determine its value without additional information. However, we can conclude that as k increases, the optimal number of firefighters decreases, and as k decreases, the optimal number of firefighters increases. Therefore, the optimal number of firefighters depends on the nature of the fire and the firefighting equipment used.

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Answer:

X = 64

Y = 18

Step-by-step explanation:

Para resolver un sistema de ecuaciones de dos incognitas por igualacion:

- Se despeja en ambas sub ecuaciones una incognita y se igualan, para determinar la respuesta del otro valor desconocido

Despejemos la Y en ambas operaciones:

Y = 82 - X

Y = (500 - 5X) 1/10

Y = 50 - 1/2X

Ahora igualamos

82 - x  =  50 - 1/2x

82 - 50 = -1/2x  + x

32 = 1/2x

x = 32 . 2

x = 64

Volvemos a las dos sub ecuaciones

Y = 82 - 64  →  18

Y = (500 - 5 . 64) / 10

Y = (500 - 320) / 10

Y = 180 / 10 → 18

=========================================================

Explanation:

It's a bit strange why your teacher has the "26 degree" label pointing at a side length, rather than an actual angle. I'm assuming your teacher meant to aim it at angle C. In other words, I'm assuming they meant to say angle C = 26 degrees.

If that assumption is correct, then,

A+B+C = 180

38+B+26 = 180

B+64 = 180

B = 180-64

B = 116

Then we can use the law of sines like so:

a/sin(A) = b/sin(B)

a/sin(38) = 10/sin(116)

a = sin(38)*10/sin(116)

a = 6.84986152123146

a = 6.8

Side 'a' is approximately 6.8 inches long. So that's why the answer is choice A.

A, your current answer, is correct, as adding the angles together would result in an angle greater than 180, meaning you cannot deduce that from this information. The rest of the answers are true and can be deduced from the information.

The need for capital by the Sport Bat Corporation will spread through the financial system as it interacts with banks, investors, and the broader financial markets.

When the Sport Bat Corporation needs to borrow $2 million to upgrade their equipment, they will likely seek a loan from a financial institution, such as a bank. The bank will evaluate the creditworthiness of the company and may require collateral or a personal guarantee before approving the loan.

Once the loan is approved, the bank will add the Sport Bat Corporation's loan to their portfolio of assets. The bank may choose to sell the loan to other investors, such as insurance companies or pension funds, to diversify their portfolio and manage risk.

These investors will then receive the interest payments on the loan as a source of income. The loan may be bundled together with other loans and sold as a package, called a securitization, to other investors in the financial markets, thus representing the spread of the loan throughout the financial system.

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