Find f such that f'(x) = 8x-3, f(7)= 0. f(x) = ...

Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

Performance relative to the whole class refers to an individual's academic achievement in comparison to the rest of their peers in a particular subject or course.

We describe performance relative to the whole class.

To do this, we'll be using the terms "average", "percentile rank", and "standard deviation".
Average:

Calculate the average performance of the whole class by adding all students' scores and then dividing by the number of students.

This will give you a baseline to compare individual performances against the class average.
Percentile Rank:

Determine the percentile rank of a student by calculating the percentage of students in the class who scored lower than them.

For example, if a student is in the 75th percentile, it means they performed better than 75% of the class.
Standard Deviation:

Calculate the standard deviation, which measures the spread of scores within the class.

A low standard deviation indicates that most students have similar performances, while a high standard deviation shows more variability in scores.
By considering these three factors, you can effectively describe a student's performance relative to the whole class. For example, you might say: "John scored above the class average, placing him in the 80th percentile with a moderate standard deviation, indicating that his performance is better than the majority of his classmates."

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Answer: 1

Step-by-step explanation:

Change in y/change in x

starting at y intercept. up 1 unit (change in y) and over 1 unit (change in x) to get to next point on line.

slope is 1/1 which reduces to 1.

the probability that both motors from the particular supplier are assigned to the first line is approximately 0.0833 or 8.33%.

To find the probability that both motors from the particular supplier are assigned to the first line, we can consider the total number of possible outcomes and the number of favorable outcomes.

Total Number of Outcomes:

The total number of ways to divide the nine distinct motors equally among the three production lines can be calculated using combinatorics. Since each line receives three motors, we can use the combination formula to determine the total number of outcomes:

Total Number of Outcomes = C(9, 3) * C(6, 3) * C(3, 3)

Number of Favorable Outcomes:

To have both motors from the particular supplier assigned to the first line, we need to select those two motors from the two motors supplied by the particular supplier and one more motor from the remaining seven motors. This can be calculated using the combination formula:

Number of Favorable Outcomes = C(2, 2) * C(7, 1) * C(6, 3) * C(3, 3)

Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of outcomes:

Probability = Number of Favorable Outcomes / Total Number of Outcomes

Substituting the values into the formula:

Probability = (C(2, 2) * C(7, 1) * C(6, 3) * C(3, 3)) / (C(9, 3) * C(6, 3) * C(3, 3))

Simplifying the expression:

Probability = (1 * 7 * 20 * 1) / (84 * 20 * 1)

Probability = 7 / 84

Probability ≈ 0.0833

Therefore, the probability that both motors from the particular supplier are assigned to the first line is approximately 0.0833 or 8.33%.

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Complete question is below

A manufacturer has nine distinct motors in stock, two of which came from a particular supplier. The motors must be divided among three production lines, with three motors going to each line. If the assignment of motors to lines is random, find the probability that both motors from the particular supplier are assigned to the first line.

Answer:

-------------------

Use slope equation:

Substitute coordinates and solve for n:

In quadrant IV, \(\cos(A)\) is positive. So

\(\sin^2(A) + \cos^2(A) = 1 \implies \cos(A) = \sqrt{1-\sin^2(A)} \approx 0.6258\)

Then by the definition of tangent,

\(\tan(A) = \dfrac{\sin(A)}{\cos(A)} \approx \dfrac{-0.78}{0.6258} \approx \boxed{-1.2465}\)

Answer:

$1.27

$9030.56

$2,210.34

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r/n)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years  

1. 1( 1 + 0.24 /12)^12 = $1.27

2. 5000 ( 1 + 0.12 /4)^( 5 x 4) = $9030.56

the formula for calculating future value when there is continuous compounding is : A x e^r x N

A= amount e = 2.7182818 N = number of years r = interest rate

3. 1000 x e^0.1 x 2 = $2,210.34

The correct interpretation of the interval (0.196, 0.320) is that it is 95% confident that the difference in the proportions of young people and senior citizens who use the internet as a news source lies between 0.196 and 0.320.

In addition, we can say that the interval (0.196, 0.320) is a measure of precision or uncertainty regarding the true difference in the proportions of young people and senior citizens who use the internet as a news source.

What is a confidence interval?

A confidence interval is a range of values that we use to estimate an unknown population parameter. It is calculated from a sample and provides a measure of the precision or uncertainty of our estimate. A confidence interval consists of a point estimate (e.g., a sample mean or proportion) and a margin of error (e.g., plus or minus some number of standard errors).

Senior citizens are elderly people who have reached the age of retirement or have been given special legal status as such. Senior citizens may be retirees or active in the workforce.

Complete question: A 95% confidence interval for the difference in proportions of young people and senior citizens who use the internet as a news source was found to be (.196, .320). which statements give a correct/appropriate interpretation of this interval?

a) The proportions of young people and senior citizens who use the internet as a news source lies between 0.196 and 0.320.

b)The proportions of young people and senior citizens who use the internet as a news source lies between 0.196 and 0.320.

c) Both a and b

d) None of the above

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Answer:

7) a = 10 / b = 5

8) x =

\(6 \sqrt{3} \)

y =

\(3 \sqrt{3} \)

Answer:

12

Step-by-step explanation:

jayfeather

Answer:

B

Step-by-step explanation:

1 yard and 1 foot = 1 1/2

BRAINLIEST PLEASE

Answer:

A and D

Step-by-step explanation:

Answer:

A. 2 + (−2) = 2 - 2= 0, true.

B. (−3) + (−4) = - 3 - 4 = -7 is negative, False

C. −2 − (− 2) = -2 + 2 = 0, neither positive nor negative, false.

D. 5 + (−2) = 5 - 2 = 3,is positive true.

E. 7 − (−10)= 7 + 10 = 17  is psoitive, false

options : A, D

Answer:

1 and 1/4 I'm pretty positive

4/3 cups of vinegar are needed for 2 cups of olive oil.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A salad dressing recipe calls for 3⁄4 cup of olive oil for every 1⁄2 cup of vinegar.

So, For 1 cup olive oil the vinegar used

= (1/2) / (3/4)

= 1/2 x 4/3

= 2/3 cup

Now, For 2 cups of Olive oil

= 2/3 x 2

= 4/3 Cups if Vinegar used.

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Answer: 10

Step-by-step explanation:

Answer:

(-8, 10)

Step-by-step explanation:

A P E X

The value of f(-3) + g(-3) Or (f + g)(-3) is 11.

When the output of one function is given to the input of another function they are called composite functions. In (fog)x which is [f{g(x)}] here the out of the function g(x) is the input of the function f(x).

Given, f(-3) is 9 and g(-3) is 2.

We know f(x) + g(x) = (f + g)(x).

∴ (f + g)(-3) = 9 + 2.

(f + g)(-3) = 11.

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Answer:

-24x + 18y

Step-by-step explanation:

u m u m u m u m u m u m u m u m u m u m u m

The given expression In(2e/x) is equivalent to In 1 + In 2 + In x, which can be determined by breaking down the expression into its individual components and applying the properties of logarithms.

In(2e/x) = In(2) + In(e/x) = In(2) + In(e) - In(x) = In 1 + In 2 + In x

The given expression In(2e/x) is equivalent to In 1 + In 2 + In x. This can be determined by breaking the expression into its individual components and applying the properties of logarithms. The expression In(2e/x) can be broken down into In(2) + In(e/x). Applying the property that logarithms of products are equal to the sum of the logarithms of the individual components gives us In(2) + In(e) - In(x). Simplifying further, we get In 1 + In 2 + In x. Thus, the expression In(2e/x) is equivalent to In 1 + In 2 + In x.

In(2e/x) = In(2) + In(e/x)

= In(2) + In(e) - In(x)

= In 1 + In 2 + In x

The given expression In(2e/x) is equivalent to In 1 + In 2 + In x, which can be determined by breaking down the expression into its individual components and applying the properties of logarithms.

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Answer:

\(y= -\frac19(x-3)^2+1\)

Step-by-step explanation:

the x-3 is to shift a normal parabola 3 to the right

the +1 is to lift the top up by one

the -1/9 is to compress and swapt it around

Answer:

y =-  \(\frac{1}{9}\)(x - 3)² + 1

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (3, 1) , thus

y = a(x - 3)² + 1

To find a substitute another point on the graph into the equation

Substitute (1, \(\frac{5}{9}\) ) into the equation

\(\frac{5}{9}\) = a(1 - 3)² + 1 ( subtract 1 from both sides )

- \(\frac{4}{9}\) = 4a ( divide both sides by 4 )

a = - \(\frac{1}{9}\)

y = - \(\frac{1}{9}\) (x - 3)² + 1 ← equation of parabola in vertex form

Answer:

I think 7

Step-by-step explanation:

Answer:

Without tax, it is 7. How much is the tax?

Step-by-step explanation:

10.00 - 3.77 = 6.23

0.89 x 7 = 6.23

Using the given information we can compute several financial ratios that help us evaluate the company's financial performance.

To calculate these ratios, we need to use information from the income statement and the additional information provided.

One important financial ratio is earnings per share (EPS), To compute EPS, we divide net income by the average number of common shares outstanding during the year. To find the average number of shares outstanding, we add the beginning and ending shares and divide by 2.

Net income = $122,100

Average number of common shares outstanding = (26,700 + 36,000) / 2 = 31,350

EPS = $122,100 / 31,350 = $3.89

Another important financial ratio is the price-earnings (P/E) ratio, To compute the P/E ratio, we divide the market price per share by the EPS.

Market price per share = $13

EPS = $3.89

P/E ratio = $13 / $3.89 = 3.34 times

The payout ratio measures the proportion of earnings that is paid out as dividends. To compute the payout ratio, we divide total dividends by net income. However, we need to adjust for the fact that some of the dividends were paid to preferred stockholders. To do this, we subtract the preferred dividends from the total dividends before dividing by net income.

Total dividends = $24,200

Preferred dividends = $6,600

Common dividends = $24,200 - $6,600 = $17,600

Net income = $122,100

Payout ratio = $17,600 / $115,500 = 15.24%

The times interest earned (TIE) ratio, To compute the TIE ratio, we divide earnings before interest and taxes (EBIT) by interest expense.

Interest expense = $16,200

EBIT = Gross profit - Expenses + Interest expense = $197,300 - $75,200 + $16,200 = $138,300

TIE ratio = $138,300 / $16,200 = 8.54 times

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Answer:

B, X = 2

Step-by-step explanation:

Since 55 divided by 5 parts is each x + 9, that means 5(x + 9) = 55. Distributing, we get 5x + 45 = 55, and subtracting 45 from each side gets us 5x = 10. Dividing each side by 5 gets us x = 2.

Step-by-step explanation:

(x+9) * 5 = 55

9 * 5 = 45

55-45 = 5

x = 1

Answer:

14 batches

Step-by-step explanation:

If 1 sack of flour = 21 cups, and 1 batch of cookies need 3 cups, all you have to do is find out how many batches can be made with 1 sack and double the number:

3 × _ = 21

21 ÷ 3 = 7

7 × 2 = 14

You can make 14 batches of cookies with 2 sacks of flour.

Hope this helped.

Answer:

the person above me is correct, its d

Step-by-step explanation:

Karina's statement is accurate, as the minimum requirement for a trapezoid is one pair of parallel sides.

A trapezoid is a polygon with four sides. If one side of a quadrilateral is parallel to the other it is a Trapezoid.

The statement written by Nico is

A 4-sided polygon with at least one pair of parallel sides must be a parallelogram.

The statement written by Karina is

A 4-sided polygon with at least one pair of parallel sides must be a trapezoid.

Nico's statement is incorrect because a polygon with a minimum of 2 pairs of parallel sides is a Parallelogram.

Karina's statement is correct, as a minimum of one pair of parallel sides is needed to make a trapezoid, more than one pair is a parallelogram but that is also a trapezoid with two pairs of parallel sides.

Therefore, Karina's statement is accurate.

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Answer:

428

Step-by-step explanation:

209+5=214

214x2= 428

I think this is the correct answer, if it's not I'm sorry :3

99.85% of adults in the city have a systolic blood pressure of less than 110 mmHg.

Using 68-95-99.7 rule, we know that

99.7% of values lie between the interval (mean - 3 × standard deviation, mean + 3 × standard deviation)

(100 - 99.7) = 0.3% values lie outside the interval (mean - 3 × standard deviation, mean + 3 × standard deviation).

Since the normal distribution is bell-curved and symmetrical,

we can say

0.3/2 = 0.15% values are less than the mean - 3 × standard deviation

and 0.3/2 = 0.15% values are greater than mean + 3 × standard deviation.

Here,

Mean + 3 × standard deviation.

= 110 + 3 × 10 = 140

So, 0.15% of values  are greater than 140

So, (100 - 0.15) = 99.85% values are less than 140.

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If every individual in a population has an equal chance of being selected for a sample, the sample is said to be a "random sample" or a "simple random sample."

A random sample is a sampling technique used in statistics to gather data from a population. It is considered one of the most unbiased and reliable methods for selecting a sample. In a random sample, each individual in the population has an equal probability of being selected, regardless of their characteristics or attributes.

This equal chance of selection eliminates any systematic bias and ensures that the sample is representative of the population.

The process of obtaining a random sample involves assigning a unique identifier to each individual in the population and using a randomization method to select the desired number of individuals.

Random sampling can be conducted through various techniques, such as simple random sampling, where individuals are selected directly from the population using a random number generator or a randomization table.

The goal of a random sample is to reduce the potential for selection bias and increase the generalizability of the findings to the larger population. By giving every individual an equal opportunity to be included in the sample, researchers can make more accurate inferences and draw conclusions about the population as a whole.

This type of sampling method ensures that each member of the population has an equal opportunity to be included in the sample, making it a representative subset of the population.

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Answer:

The shape is a reduction, and the scale factor is actually 2/3. I was wrong but I have the correct answer thanks to a math teacher.

Step-by-step explanation:

The shape ||| is a reduction of the shape || with a scale factor of 2/3.

A scale drawing is a drawing made by enlarging or reducing the size of the original object.

The factor by which the drawing is enlarged or reduced is called the scale factor.

From the graph, it is clear that,

Dimension of shape || = 3 units

Dimension of shape ||| = 2 units

                                     = 2/3 × 3

                                     =  2/3 × Dimension of the shape ||

So the scale factor = 2/3

Since scale factor is less than 1, the dilation is reduction.

Hence the scale factor of the given reduction is 2/3.

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Answer:

18

Step-by-step explanation:

P^2 - 18

Let p=6

6^2 -18

36 - 18

18