(5 points) Let f(x)=x^3-9x^2+15x+2. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima).1. f is increasing on the intervals ___________________ 2. f is decreasing on the intervals ___________________ 3. The relative maxima of f occur at x = _________________ 4. The relative minima of f occur at x = ___________________ Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none".
In the last two, your answer should be a comma separated list of x values or the word "none".

Answer:

y=\(\sqrt[3]{x-1}\)

Step-by-step explanation:

y=x^3-1

Switch y and x

x=y^3-1

Solve for y

x-1=y^3

y=\(\sqrt[3]{x-1}\)

The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:

A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.

B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.

C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.

D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.

Therefore, the correct answer is D. setne 23 47

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Answer:

0.41666666666

Step-by-step explanation:

Answer:

The value is 5/12

The statement is generally true.

In materials science, the close-packing of atoms in crystal structures can affect the mechanical properties of the material, such as its ductility and ability to undergo plastic deformation.

In general, structures with closely packed planes (i.e., structures with a higher atomic packing factor) are more likely to undergo plastic deformation because the closely packed planes allow for more slip planes for atoms to move along without disrupting the overall crystal structure.

This means that when a force is applied to the material, the planes can slide more easily past one another, leading to plastic deformation.

In contrast, structures that are not closely packed (i.e., structures with a lower atomic packing factor) have fewer slip planes and are less likely to undergo plastic deformation. Instead, they may experience brittle fracture or other types of failure when subjected to stress.

However, it is important to note that the relationship between atomic packing and plastic deformation is complex and depends on a variety of factors, including the type of crystal structure, the presence of defects or impurities in the material, and the conditions under which the material is being deformed.

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Answer:

520 Students

Step-by-step explanation:

If you multipy 650 by .8 you will get 520 and that is the percentage of students that is going.

Answer:

520 students will attend the field trip.

Step-by-step explanation:

The percentage of a number can be found by multiplying the percentage by the amount.

In this case, 650 times 80% is 520.

We can check our answer by dividing 520 by 650 and converting the decimal into a percentage.

Answer:

0.493

Step-by-step explanation:

1: We have a total of 1972 people, and out of them, 972 are girls.

2: To find the probability of the girls being picked, it will be 972, out of the total 1972 people.

3: 972/1972 = 243/493, or 0.493

4: therefore the probability is 0.493 to 3 decimal places.

Hope this helps! Let me know if you have any questions :)

Answer:

Step-by-step explanation:

16=45+11

Step-by-step explanation:

Magnitude = sqrt ( (-12)^2 + (-4)^2 ) = sqrt 160 = 12.649

Angle = arctan(-4/-12) = 198 degrees

The Magnitude: 12.649 and Direction: 18° (option c).

To find the magnitude and direction of the vector v = (-12, -4), we can use the following formulas:

Magnitude (or magnitude) of v = |v| = √(vₓ² + \(v_y\)²)

Direction (or angle) of v = θ = arctan(\(v_y\) / vₓ)

where vₓ is the x-component of the vector and \(v_y\) is the y-component of the vector.

Let's calculate:

Magnitude of v = √((-12)² + (-4)²) = √(144 + 16) = √160 ≈ 12.649 (rounded to the thousandths place)

Direction of v = arctan((-4) / (-12)) = arctan(1/3) ≈ 18.435°

Since we need to round the direction to the nearest degree, the direction is approximately 18°.

So, the correct answer is:

Magnitude: 12.649 (rounded to the thousandths place)

Direction: 18° (rounded to the nearest degree)

The correct option is: 12.649; 18°

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Answer:

Here is your answer . Hope this helps you.

Answer:

\(\boxed {\boxed {\sf \sqrt{218} \ or \ 14.76}}\)

Step-by-step explanation:

The formula for calculating the distance between 2 points is:

\(d= \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2\)

In this formula, (x₁, y₁) and (x₂, y₂) are the 2 points. The 2 points we are given are (-4, 6) and (3, -7). If we match the value with the corresponding variable we see that:

Substitute the values into the formula.

\(d= \sqrt{(3 - -4)^2 + (-7-6)^2\)

Solve inside the parentheses.

\(d=\sqrt {(7)^2 + (-13)^2\)

Solve the exponents.

\(d= \sqrt{ (49)+(169)\)

Add.

\(d= \sqrt{218}\)

\(d=14.76482306\)

If we round to the nearest hundredth place, the 4 in the thousandth place tells us to leave the 6.

\(d \approx 14.76\)

The distance between the points (-4, 6) and (3, -7) is √218 or approximately 14.76.

Temperature of refrigerators - Cannot determine. Horsepower of race car engines - Ratio. Marital status of school board members - Nominal. Ratings of television programs - Ordinal. Ages of children enrolled in a daycare - Interval

The level of measurement for the temperature of refrigerators cannot be determined based on the given information. The temperature could potentially be measured on a nominal scale if the refrigerators were categorized into different temperature ranges. However, without further context, it is not possible to determine the specific level of measurement.

The horsepower of race car engines can be measured on a ratio scale. Ratio scales have a meaningful zero point and allow for meaningful comparisons of values, such as determining that one engine has twice the horsepower of another.

The marital status of school board members can be measured on a nominal scale. Nominal scales are used for categorical data without any inherent order or ranking. Marital status categories, such as "married," "single," "divorced," etc., can be assigned to school board members.

The ratings of television programs, such as "poor," "fair," "good," and "excellent," can be measured on an ordinal scale. Ordinal scales represent data with ordered categories or ranks, but the differences between categories may not be equal or measurable.

The ages of children enrolled in a daycare can be measured on an interval scale. Interval scales have equal intervals between values, allowing for meaningful differences and comparisons. Age, measured in years or months, can be represented on an interval scale.

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According to the given statement the probability of the surgery being successful on exactly two patients is 0.441 & 44.1%.

To find the probability of the surgery being successful on exactly two patients, we can use the binomial probability formula.
The formula for the probability of exactly k successes in n trials, when the probability of success in a single trial is p, is given by:
P(X = k) = nCk × \(p^{k}\) × \((1-p)^{n-k}\)
In this case,

n (number of trials) is 3 (since the surgery is performed on three patients),

p (probability of success) is 0.7 (given that the surgery has a 70% chance of success),

and

k (number of successes) is 2 (since we want exactly two successful surgeries).
Plugging the values into the formula, we have:
P(X = 2) = 3C2 × 0.7² × (1-0.7)³⁻²

Simplifying the calculation:

P(X = 2) = 3 × 0.7² × 0.3¹
Calculating the result:
P(X = 2) = 0.441
Therefore, the probability of the surgery being successful on exactly two patients is 0.441, or 44.1%.

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The probability of the surgery being successful on exactly two out of three patients is 0.441 or 44.1%.

The probability of the surgery being successful on exactly two patients can be found using the binomial probability formula.

The formula for the probability of exactly x successes in n trials, when the probability of success in each trial is p, is given by:

\(P(x) = (n_C_x) * p^x * (1-p)^{n-x}\)

In this case, the probability of success (the surgery being successful) is 0.7, as stated in the question.

Since the surgery is performed on three patients (n = 3), we want to find the probability of exactly two successful surgeries (x = 2).

Plugging these values into the formula, we get:

\(P(2) = (3_C_2) * 0.7^2 * (1-0.7)^{(3-2)}\)

Calculating the values, we find:

\(P(2) = 3 * 0.7^2 * 0.3^1\)

\(P(2) = 3 * 0.49 * 0.3\)

\(P(2) = 0.441\)

Therefore, the probability of the surgery being successful on exactly two patients is 0.441 or 44.1%.

In conclusion, the probability of the surgery being successful on exactly two out of three patients is 0.441 or 44.1%.

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Answer:

x=20, 3x=60, 2x=40

Step-by-step explanation:

3x+80+2x=180, so

x=20

Answer:

x=20

Step-by-step explanation:

That is a supplementary line, so all the angles added up should be 180°

3x+2x+80=180

First combine 2x and 3x

5x+80=180

Then subtract 80 from 180

5x=180-80

5x=100

Now divide both sides by 5

5x/5=100/5

x=20

Moment of inertia is \(I_{1} = \frac{5Ir^{2} }{4}\) for rotation about a diameter.

What is momentum ?

Whenever you toss a ball at someone as well as it smacks him square in the face. It indicates how difficult it would have been to stop the thing. A baseball is swooping through the air. A large truck is moving. A bullet discharged from such a firearm. Momentum is important in Physics because it describes the relationship between speed, mass and direction. It also describes the force needed to stop objects and to keep them in motion. A seemingly small object can exert a large amount of force if it has enough momentum.

Have given ,

radius of a sphere = r and moment of inertia = \(I_{1}\)

\(I = \frac{1}{2} Mr^{2}\)

∵ \(M = \frac{5}{2} Mr^{2}\)

∴ \(I_{1} = \frac{5Ir^{2} }{4}\)

Hence , Moment of inertia is \(I_{1} = \frac{5Ir^{2} }{4}\) for rotation about a diameter.

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lower control threshold for the data is LCL = -0.007

The lower control limit on a control chart is the value below which any particular data point would be deemed to be out of statistical control owing to specific cause variation. It is represented by a line below the centerline.

The lower control limit formula: LCL = Pbar - \(3 \sqrt{p bar (1- p bar)/n}\)

To date,

Size of sample = n

Sample size is 12 samples.

Televisions with defects = X

We have a sample defect = p

p chart week with n = 200

x = 4, 7, 5, 6, 8, 3, 12, 4, 4, 5, 6, 2.

P = x/n

p = 4/200 = 0.02

p = 7/200 = 0.035

p = 5/200 = 0.025

p = 6/200 = 0.03

p = 8/200 = 0.04

p = 3/200 = 0.015

p = 12/200 = 0.06

p = 4/200 = 0.02

p = 4/200 = 0.02

p = 5/200 = 0.025

p = 6/200 = 0.03

p = 2/200 = 0.01

total will be 0.33

p bar = 0.33/12

p bar = 0.0275

The lower control limit formula: LCL = Pbar - \(3 \sqrt{p bar (1- p bar)/n}\)

LCL =  0.0275 - 3\(\sqrt{ 0.0275 (1- 0.0275/200}\)

LCL = -0.007

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Option B. $9,255.75, Only option (b) includes a value close to $1,000, which is the present value of the infinite stream of

To find the present value of an infinite stream of cash flows, we can use the formula:

PV = CF / r

where PV is the present value, CF is the cash flow per period, and r is the interest rate per period.

In this case, CF = $100 (received at the end of each year forever) and r = 10%.

Plugging in the numbers, we get:

PV = $100 / 0.10 = $1,000

So the present value of the infinite stream of cash flows is $1,000.

However, we need to adjust for the fact that the cash flows are received at the end of each year, not at the beginning. To do this, we can use the formula:

PV = CF / (r - g)

where g is the growth rate of the cash flows, which in this case is 0 (since the cash flows are constant).

Plugging in the numbers, we get:

PV = $100 / (0.10 - 0) = $1,000

So the present value of the infinite stream of cash flows received at the end of each year is also $1,000.

Therefore, the answer must include the present value of an infinite stream of cash flows. Only option (b) includes a value close to $1,000, which is the present value of the infinite stream of cash flows.

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Answer:

Step-by-step explanation:

6m^5-2m^3-m^3-4m+4m+3-6

7m^5-3m^3-3

Answer:

\(7m^5-3m^3-3\)

Step-by-step explanation:

\((6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)= \\\\(6m^5+m^5)+(-m^3-2m^3)+(-4m+4m)+3-6= \\\\7m^5-3m^3-3\)

Hope this helps!

The engineer's improved light bulb likely has a statistically significant longer lifetime than the previous design, with a small but measurable difference of 0.2 hours.

Statistical significance refers to the probability that the observed difference between two groups (in this case, the old light bulbs and the new ones) is not due to chance alone. If the probability is low enough, we can confidently reject the null hypothesis (that there is no difference between the two groups) and conclude that there is a real difference between them.

In this case, a sample size of 40,000 bulbs is quite large, which increases the statistical power of the test and allows for even small differences to be detected as significant. The fact that the new bulb had a slightly longer lifetime of 1,200.2 hours, compared to the old bulb's average lifetime of 1,200 hours, suggests that the engineer's design improvement was successful in making the bulb last longer.

However, it's important to note that while the effect is statistically significant, the practical significance may be less clear. A difference of 0.2 hours may not make a noticeable impact on the bulb's usefulness or longevity in real-world scenarios. Additionally, other factors such as cost or energy efficiency may also need to be considered when evaluating the success of the new design.

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Answer:

8

Step-by-step explanation:

2+6

The equivalent units of output for conversion costs for the month of June are C. 3,900.

During the month of June, the mixing department produced and transferred out 3,500 units. Additionally, there were 1,000 units in ending work in process that was 40 percent complete with respect to conversion costs. To calculate the equivalent units of output for conversion costs, we need to consider both completed and partially completed units.

First, we account for the completed and transferred out units, which amounts to 3,500 units. Next, we need to determine the equivalent units for the partially completed units in the ending work in process.

Since these 1,000 units are 40 percent complete in terms of conversion costs, we multiply the number of units (1,000) by the completion percentage (40% or 0.4):

1,000 units × 0.4 = 400 equivalent units

Now, we can add the equivalent units for completed and partially completed units together:

3,500 units (completed) + 400 equivalent units (partially completed) = 3,900 equivalent units

Therefore, the equivalent units of output for conversion costs for the month of June are 3,900. Therefore, the correct option is C.

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Answer:

6.25 hours

Step-by-step explanation:

pages per hour

pages/hour

90/2.5 = 36

36 pages per hour

225 / 36 = 6.25 hours

Answer:

6.25 hours

Step-by-step explanation:

2 and half hours = 2.5 hours

Proportions:

90 pages  ⇔  2.5 hours

225 pages  ⇔  E hours

E = 225*2.5/90

E = 6.25 hours

6.25 hours = 6 and 1 quarter hours

Answer:

Step-by-step explanation:

Use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the sides and c is the hypotenuse (longest side)

a^2 + 7^2 = 8^2

a^2 + 49 = 64

a^2=15

Now take the square root of 15 which is about 3.8

Answer: 5

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Answer:

C

Step-by-step explanation:

When talking about multiplication two negatives do, in fact, make a positive but if there is only one negative in the equation, the product(answer) will be negative. Therefore, C 31(-10)=-310 is the only problem that is correct.

Answer:

C.\(31\left(-10\right)=-310\)

Step-by-step explanation:

\(31\left(-10\right)\)

\(\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\)

\(=-31\cdot \:10\)

\(\mathrm{Multiply\:the\:numbers:}\:31\cdot \:10=310\)

\(=-310\)

Answer:

25

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 inches

Answer:

15 minutes

Step-by-step explanation:

set up a proportion of dozens of muffins over minutes taken to make them. 12/45=4/x. Cross multiply to get 180=12x. 180 divided by 12 is 15.