what is the maximum value of f(x)=−4x2+4x−2?

Step-by-step explanation:

for both costs to be the same, the sum of the fixed and the variable costs must be the same.

so,

49631 + 10.25x = 12209 + 23.75x

37422 = 13.50x

x = 37422 / 13.5 = 2,772

the costs of both methods will be the same for 2,772 produced books.

The energy is 6000 joules.

The stored energy that depends upon the relative position of various parts of a system.

Given:

weight = 60N

height = 10 m

So, the energy is

Energy=mgh,

Energy =60*10*10

Energy =6000 joules

Hence, the energy is 6000 joules.

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The range of the test scores in Mr. Miller's math class is 42.

Mathematically, the range refers to the difference between the highest value and the lowest value in a data set.

The range is computed by subtraction of the lowest value from the highest value.

Mr. Miller can use the range to measure the spread or dispersion of the test scores.

Test Scores:

52, 61, 69, 76, 82, 84, 85, 90, 94

Highest score = 94

Lowest score = 52

Range = 42 (94 - 52)

Thus, we can conclude that for the math students in Mr. Miller's class, the range of their test scores is 42.

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Answer:

5x^2-x

Step-by-step explanation:

pls mark as brainliest

Answer:

Step-by-step explanation:

To solve, we first need to know how to find the average of a group of numbers. To find the average of a group of numbers, you add all the numbers together and divide that answer by the number of numbers you have. For instance, to find the average of 1, 2, 3, 4 and 5, we would add all the numbers together, which would equal 15. We would then divide that number by 5, because there are 5 numbers total: 15/5 = 3. So the average is 3.

Now, to find the average in your problem, we need to look at what we know:

He received an 85 and 60 on two of the test scores

He needs an overall average of 70

Let's set this up in equation form:

%2885+%2B+60+%2B+x%29%2F3+%3E=+70

Now, let's get rid of our fraction on the left. We can do this by multiplying the entire equation by 3, giving us:

85 + 60 + x >= 210

Next, combine the numbers on the left, which will give us:

145 + x >= 210

Finally, subtract 145 from both sides, which will give us our answer:

145 + x - 145 >= 210 - 145 =

x >= 65

So, in order to average at least 70, he must score a 65 or higher on his third test.

Answer: y= -1x + 2

Step-by-step explanation:

The linear equation is y= mx + b

Y-intercept here is at (0,2), so b is 2

Let pick point (0,2) (2,0)

The slope is rise/run, and we see that the graph is going down by 2 and goes over by 2, so it is -2/2 = -1

So the equation is y=1x +2

If you can, please give me a Brainliest, I only need 1 more to become an Ace, thank you!

Answer:

because he is wittery hitting da gwity

Seema left 6/11 of the book for reading over the weekend.

To calculate the part of the book left for reading during the weekend, we need to subtract the part of the book Seema read during the weekday from the total book.

If Seema reads 5/11 of the book during the weekday, then:

This means 6/11 of the book is left for reading during the weekend. It is important to note that the fraction of the book read during the weekday and the fraction left for reading during the weekend add up to the total book. This means that 11/11 of the book will be read by Seema in total.

This question should be written as:

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The likelihood that a shipment passes the test is 1

To determine the likelihood that a shipment passes the test, we can approach this problem using the concept of reliability in parallel systems.

In this case, the theater is testing a batch shipment of bulbs, and if two or more bulbs go out during the test, the shipment is returned. We can consider each bulb's reliability as an independent event.

The reliability of a single bulb is given as 95%, which means the probability that a bulb lasts at least 100 hours is 0.95. Therefore, the probability that a single bulb fails during the test (lasting less than 100 hours) is 1 - 0.95 = 0.05.

Since the theater tests 20 bulbs in parallel, we can consider it as a parallel system. In a parallel system, the overall system fails if and only if all the components fail. So, for the shipment to fail the test, all 20 bulbs must fail.

The probability that a single bulb fails during the test is 0.05. Since the bulbs are independent, we can multiply the probabilities:

Probability that all 20 bulbs fail = (0.05) * (0.05) * ... * (0.05) (20 times)

= 0.05^20

≈ 9.537 × 10^(-27)

Therefore, the likelihood that a shipment passes the test is the complement of the probability that all 20 bulbs fail:

Probability that a shipment passes the test = 1 - Probability that all 20 bulbs fail

= 1 - 9.537 × 10^(-27)

≈ 1

In practical terms, the likelihood that a shipment passes the test is essentially 1 (or 100%). This means that if the bulbs indeed have a 95% reliability, it is highly unlikely that two or more bulbs would go out during the test, and the shipment would almost always pass the test.

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An appropriate height range that would encompass approximately 95% of all people in the sample is from 64 inches to 76 inches.

In a study conducted in the United States, a random sample of individuals was measured for their heights.

The data revealed that the heights followed a normal distribution, with a mean of 70 inches and a standard deviation of 3 inches.

Based on this information, we can determine an appropriate height range that would encompass approximately 95% of all people in the sample.

To calculate the height range, we can utilize the properties of the normal distribution.

In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

In this case, with a standard deviation of 3 inches, approximately 95% of the data would fall within two standard deviations from the mean.

To find the height range, we need to determine the values that are two standard deviations above and below the mean.

Two standard deviations below the mean:

70 inches - (2 \(\times\) 3 inches) = 70 inches - 6 inches = 64 inches.

Two standard deviations above the mean:

70 inches + (2 \(\times\) 3 inches) = 70 inches + 6 inches = 76 inches

Therefore, an appropriate height range that would encompass approximately 95% of all people in the sample is from 64 inches to 76 inches.

It's important to note that this range is specific to the sample in the study and may not be applicable to the entire population.

Additionally, other factors such as age, gender, and ethnicity can influence height distributions.

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Question: In a study conducted in the United States, a random sample of individuals was measured for their heights. The heights were found to follow a normal distribution with a mean of 70 inches and a standard deviation of 3 inches. Based on this data, what would be an appropriate height range that would encompass approximately 95% of all people in the sample?

The return on the market portfolio is approximately 10.4%.

Suppose the risk-free return is 3%. The beta of a managed portfolio is 1.75. To calculate the return on the market portfolio using Jensen's measure, we can use the Capital Asset Pricing Model (CAPM) formula:

Expected Return = Risk-Free Return + Beta * (Market Return - Risk-Free Return)

Given that the alpha is 0% and the average return is 16%, we can rewrite the formula:

16% = 3% + 1.75 * (Market Return - 3%)

Now, we solve for the Market Return:

13% = 1.75 * (Market Return - 3%)

13/1.75 = Market Return - 3

7.43 ≈ Market Return - 3

Market Return ≈ 10.43%

So, the return on the market portfolio is approximately 10.4%.

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Answer:

Step-by-step explanation:

Janet can make:

4/5 of a necklace in      20min

2(4/5)=8/5 ............in       40 min

3(4/5)=12/5 ............in    60 min( one hour)

12/5=2 2/5 necklaces in one hour

or 2.4n in one hour

Imagine putting a mirror on the page and adding a reflection. You must identify the line in which the shape is mirrored when describing a reflection. The sum of the transformations can be referred to as a single transformation.

Imagine putting a mirror on the page and adding a reflection. You must identify the line in which the shape is mirrored when describing a reflection. Every point of a shape will be separated from the line of reflection by the same amount as the reflected point is separated from the line.

There are occasions when a shape is altered in more than one step, such as when a rotation is followed by a reflection. Typically, the sum of the transformations can be referred to as a single transformation.

Enlargements are a particular kind of transformation where the original shape's size is altered by multiplying it by a scale factor to make it bigger or smaller. To employ a center of enlargement, lines must be drawn from the center via the original shape's vertices. They are known as ray lines.

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Answer:

Its only 10 points

Step-by-step explanation:

Answer:

Step-by-step explanation:

9)

it's a right triangle, you should know how to find the area for this one :/   I'll give you the formula ,  you can push the buttons on a calculator ?  right? Okay to be fair, I see that there is one extra step, so i'll do that part for you.  

Ф=arcSin(8.5/15.7)

Ф = 32.77908067°

15.7*Cos(32.77908067°) = base

13.2 =base

⇒ use this formula ⇒ (1/2)*base*height*depth

just in case  base = 13.2

height = 8.5

depth = 6.2

you got it ?  right?

10)

we have to solve for the "adjacent side"  of the triangle, which will also be the diameter of the cylinder  , so

sin(Ф) = 9.5/19.3

Ф= arcSin(9.5/19.3)

Ф= 29.48712567°

19.3*cos(29.48712567°) = Adjacent

16.8 =Adjacent ( diameter of circle)

16.8/2 = radius

8.4 = radius

area of circle = \(\pi\)\(r^{2}\)

area of circle = 221.6707776 \(m^{2}\)

volume of a cylinder = area of circle * height

volume of a cylinder = 221.6707776 * 9.5

volume of a cylinder = 2105.872388 \(m^{3}\)

11)

we need the formula for an equilateral triangle area

Equilateral Triangle Area = \(\sqrt{3}\)/4)* \(a^{2}\)

ETA = (\(\sqrt{3}\)/4)*\(12^{2}\)

ETA = 62.35382907 \(mm^{2}\)

Volume Of Prism = length * area

VOP = 17 * 62.35382907

VOP = 1060.015094 \(mm^{3}\)

The correct answer is A. line. A line is a straight path that extends infinitely in both directions. It has no endpoints and continues indefinitely.

A line is a basic geometric object that is defined by two points or can be represented by a single equation. It is characterized by its straightness and infinite length, extending in both directions without any boundaries or endpoints. A line can be represented by a straight line segment with two distinct points or by an equation such as y = mx + b in a coordinate system.

On the other hand, a plane refers to a two-dimensional flat surface that extends infinitely in all directions. It is not a straight path but rather a flat, continuous surface. A ray, is a part of a line that has one endpoint and extends infinitely in one direction. It is not a straight path that continues indefinitely in both directions like a line.

A triangle is a closed geometric shape with three sides and three angles. It is not a straight path but rather a closed figure formed by connecting three non-collinear points.Therefore ,the correct answer is A.

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Answer:

Kite A ascends to a height of 36 feet

Step-by-step explanation:

21 + 15 = 36

Answer:

Kite A is now at 36 feet.

Step-by-step explanation:

Ascend means go up, so adding 15 to 21 gives you your answer.

Answer:D or C

Step-by-step explanation:

Use at least 3 decimals in your calculations in this question. A group of economists would like to study the gender wage gap, In a random sample of 350 male workers, the mean hourhy wage was 14.2, and the standard deviation was 2.2. In an independent random sample of 250 female workers, the mean hocirly wage was 13.3, and the standard devlation Was 1.4. 1. The cconomists would like to test the null hypothesis that the mean hourly wage of male and female workers are the same, against the aiternative hypothesis that the mean wages are different. Use the reiection region approach to conduct the hypothesis test, at the 5% significance level. Be sure to include the sample statistic; its sampling distribution; and the reason why the sampling distritution is valid as part of your answer. 2. Calculate the 95% confidence interval for the difference between the popiation means that can be used to test the researchers nuill hypothesis (stated above) 3. Calculate the p-value. If the significance level had been 1% (instead of 58 ). What would the conclusion of the fipothesis test have bect?

Answer:

Test-retest

Step-by-step explanation:

Based on the information given it is an example of TEST-RETEST.

TEST-RETEST is a relibility test that is been conducted on a group of people twice but on a different day or different time reason been that once the group of people write the test ,they will be ask to come back and retake the same test a week later in order to assess whether the test results they wrote earlier on and the new test results they newly rewrite a week later are the same or for the sole aim of assessing the reliability of the new test they rewrite and the old test they wrote earlier.

Example a group of students may write a test on Friday in which the same group of students will be ask to come back and rewrite the same test the following Friday which inturn makes the students to write the same test twice.

Therefore this is an example of which type of reliability TEST-RETEST.

The pieces of cloth are beyond the standard at 0.05 level of significance.

We can use a one-sample t-test to determine if the mean length of the 35 pieces of cloth is significantly different from the standard length of 3.25 meters.

The null hypothesis is that the mean length of the cloth pieces is equal to the standard length:

H0: μ = 3.25

The alternative hypothesis is that the mean length of the cloth pieces is greater than the standard length:

Ha: μ > 3.25

We can calculate the test statistic as:

t = (x - μ) / (s / √n)

where x is the sample mean length, μ is the population mean length (3.25 meters), s is the sample standard deviation (0.52 meters), and n is the sample size (35).

Plugging in the values, we get:

t = (3.52 - 3.25) / (0.52 / √35) = 3.81

Using a t-table with 34 degrees of freedom (n-1), and a significance level of 0.05 (one-tailed test), the critical t-value is 1.690.

Since our calculated t-value (3.81) is greater than the critical t-value (1.690), we reject the null hypothesis and conclude that the mean length of the 35 pieces of cloth is significantly greater than the standard length at the 0.05 level of significance.

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We determined the total variable cost (TVC) by subtracting TFC from the total cost (TC). Finally, we divided TVC by the quantity to obtain the average variable cost (AVC) of 0.1 RO per unit.

To find the average variable cost (AVC), we need to know the total variable cost (TVC) and the quantity of units produced.

The average variable cost (AVC) is calculated by dividing the total variable cost (TVC) by the quantity of units produced.

TVC is the difference between the total cost (TC) and the total fixed cost (TFC):

TVC = TC - TFC

Given that the average total cost (ATC) is 1.400 RO (RO stands for the unit of currency) and the average fixed cost (AFC) is 1.300 RO, we can express the total cost (TC) as the sum of the total fixed cost (TFC) and the total variable cost (TVC):

TC = TFC + TVC

Since AFC is equal to TFC divided by the quantity, we can calculate the TFC:

TFC = AFC * Quantity

We are given that the quantity produced is 50 units, so we can calculate the TFC using the given AFC value:

TFC = 1.300 RO * 50 units = 65 RO

Now, we can substitute the values of TC and TFC into the equation to find TVC:

TC = TFC + TVC

1.400 RO * 50 units = 65 RO + TVC

70 RO = 65 RO + TVC

TVC = 5 RO

Finally, we can calculate the AVC by dividing TVC by the quantity:

AVC = TVC / Quantity

AVC = 5 RO / 50 units

AVC = 0.1 RO per unit

Therefore, the average variable cost (AVC) is 0.1 RO per unit.

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well, my calculator gave me 0.53x^2 - 0.6x^3 for standard form, so i hope this helps :)

Answer:

tanG = 2

tanH = \(\frac{1}{2}\)

Step-by-step explanation:

The function tangent is the opposite side divided by the adjacent one(SohCahToa).

Relative to angle G, the side with measure 2 is opposite while the wide with measure 1 is adjacent. From this we can set up an equation and substitute:

tan(m<G) = \(\frac{opposite}{adjacent}\)

tan(m<G) = \(\frac{2}{1} = 2\)

The same can be done for <H. The opposite side is 1 while the adjacent is 2:

tan(m<H) = \(\frac{opposite}{adjacent}\)

tan(m<H) = \(\frac{1}{2}\)

Explanation:

For the left triangle:

leg/12 = (12+x)/leg

leg = 13

z = x + 12

z = 2.08 + 12

z = 14.08

For the right triangle:

leg/z = x/leg

leg = y

y/14.08 = 2.08/y

Answer:

B

Step-by-step explanation:

hope this help but I worked it out so it should be true

The solution of inequality  45 < 9(x + 3) < 153 is 2 < x < 14 so, option D is correct.

Inequalities specify the relationship between two values that are not equal. Equal does not imply inequality. Typically, we use the "not equal sign" to indicate that two values are not equal

Given:

45 < 9(x + 3) < 153

Solve the above inequality using the distributive property as shown below,

45 < 9x + 27 < 153

Separate the inequalities as shown below,

45 < 9x + 27  and 9x + 27 < 153

Divide both sides by 9 as shown below,

45 / 9 < 9x / 9 + 27 / 9  and 9x / 9 + 27 / 9 < 153 / 9

5 < x + 3  and x + 3 < 17

Subtract 3 from both sides,

5 - 3 < x + 3 - 3  and x + 3 - 3 < 17 - 3

2 < x  and x < 14

Combine the inequality,

2 < x < 14

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Answer:

168

Step-by-step explanation:

28% = 28/100

28/100 * 600 = 168

Based on the fact that the slope of the line is undefined, the value of x can be found to be 3.

When a slope is said to be undefined, it means that the slope of the line does not show any horizontal movement. In other words, the value of the x points used to calculate the give a product of zero when subtracted.

The slope of a line can be found by the formula:

= (y2 - y1) / (x2 - x1)

For the slope to be undefined, the denominator needs to be zero:
= (-1 - 7) / (3 - x)

x will need to subtract 3 such that the result would be zero. So x will be 3.

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Answer:

wea did tha r come from??

Step-by-step explanation:

it is supposed to be d

The ratio of the distance traveled by the tip of the hour hand to the distance traveled by the tip of the minute hand from noon to 3 p.m. is (12π)/(16π), which simplifies to 3/4.

To find the ratio of the distance traveled by the tip of the hour hand to the distance traveled by the tip of the minute hand from noon to 3 p.m., we need to consider their respective speeds.

The hour hand takes 12 hours to complete a full revolution around the clock, while the minute hand takes 60 minutes to complete a full revolution.

From noon to 3 p.m., the hour hand moves a quarter of a circle, which corresponds to 3 hours on the clock. The distance traveled by the tip of the hour hand is given by the circumference of a circle with a radius of 6 inches, which is 2π × 6 = 12π inches.

During the same period, the minute hand moves a three-quarter circle, corresponding to 180 minutes. The distance traveled by the tip of the minute hand is the circumference of a circle with a radius of 8 inches, which is 2π × 8 = 16π inches.

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Answer:

The directional bearing of the boat is N 30º E

Step-by-step explanation:

Let \(\vec v = (25, 25\sqrt{3})\), where \(\vec v\) is the vector velocity. Given that such vector is represented in rectangular, a positive value in the first component is the value of the vector in the east direction, whereas a positive value in the second component is in the north direction. The directional bearing of the boat (\(\theta\)), measured in sexagesimal degrees, is determined by trigonometrical means:

\(\theta = \tan^{-1}\frac{v_{y}}{v_{x}}\) (1)

If we know that \(v_{x} = 25\) and \(v_{y} = 25\sqrt{3}\), then the directional bearing of the boat is:

\(\theta = \tan^{-1} \sqrt{3}\)

\(\theta = 60^{\circ}\)

In consequence, we conclude that the direction bearing of the boat is 30 degrees to the East from the North (N 30º E).

Answer:

A) N 30 E

Step-by-step explanation: