Given the function f(x)=x2+2x+1, find: e f(a)

The value of  \(cos^{-1}(\frac{2}{3})\) is 0.84 radian or 48.18°

Given,

\(cos^{-1}(\frac{2}{3})\)

It is an inverse trigonometric function.

Inverse trigonometric functions are also known as "Arc Functions" because they produce the length of arc required to obtain a given value of trigonometric functions. Inverse trigonometric functions are the inverse of trigonometric functions such as sine, cosine, tangent, cosecant, secant, and cotangent. We know that trigonometric functions are particularly useful for right angle triangles. When two sides of a right triangle are known, these six important functions are used to find the angle measure.

Thus, the value of \(cos^{-1}(\frac{2}{3})\)  using a calculator is 0.84 radian or 48.18°

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Answer:

3.5

Step-by-step explanation:

7 is hypotenuse, and x is facing the 30 degree angle (bottom left corner) as this is a 30-60-90.

Rules of 30-60-90 say shortest side (30 degree) is x, and hypotenuse is 2x.

7/2 = 3.5

True when desired information of Census is available for all objects in the population

A census is a study that collects data from every member of a population, making it the most comprehensive form of data collection.

A census can provide highly accurate information on the entire population, without any risk of sampling error.

However, conducting a census can be time-consuming and costly, especially for large populations, and may not always be practical or feasible. In some cases, a sample study may be a more practical approach, as it can provide accurate information with less time and cost.

However, it's important to carefully consider the sampling design to ensure that the sample is representative of the population, in order to minimize sampling bias.

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The argument states that since all paintings by Matisse are beautiful and the museum has a painting by Matisse, the museum must have a beautiful painting.

The argument presented is an example of a logical fallacy known as affirming the consequent. It follows the form of a logical fallacy known as the fallacy of the converse. The fallacy of the converse occurs when one assumes that if the consequent (in this case, having a painting by Matisse) is true, then the antecedent (in this case, the painting being beautiful) must also be true. However, this is not a valid logical inference.

While it is true that the argument assumes that all paintings by Matisse are beautiful, it does not necessarily follow that the museum's painting by Matisse is also beautiful. There may be exceptions to the generalization that all Matisse paintings are beautiful. Additionally, beauty is subjective, and what one person finds beautiful, another may not.

Therefore, based on the argument presented, we cannot conclude with certainty that the museum has a beautiful painting solely because it possesses a painting by Matisse. The argument relies on a logical fallacy and does not provide sufficient evidence to support the claim that the museum's painting is beautiful.

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To represent the requirement that a company makes at least 20 units of products X1 and X2, you can use the following set of lower bound constraints:

\(1. X1 \geq 20\\2. X2 \geq  20\)

These constraints indicate that the production of X1 must be greater than or equal to 20 units, and the production of X2 must also be greater than or equal to 20 units.

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Answer:

D

Step-by-step explanation:

f(x)=20 cos (pi/5x + pi/2)+25

Approximately 71.95% of the cylindrical water tank is filled with water.

A cylindrical water tank has a radius of 5 metres and a height of 10 metres. To calculate the volume of the entire tank, we use the formula for the volume of a cylinder: V = πr²h. In this case, r (radius) = 5m and h (height) = 10m.

V = π × (5m)² × 10m = 250π m³ ≈ 785.4 m³.

However, the volume of water in the tank is given as 565.2 cubic metres, which is less than the total volume. To determine the percentage of the tank filled with water, we can use the formula:

Percentage = (Volume of water / Total volume) × 100

Percentage = (565.2 m³ / 785.4 m³) × 100 ≈ 71.95%

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"Financial" as it is not an effectiveness MIS metric.

To determine which one is not an effectiveness MIS metric, we need to understand the purpose of these metrics. Effectiveness MIS metrics measure how well a system is achieving its intended goals and objectives.

Customer satisfaction is a common metric used to assess the effectiveness of a system. It measures how satisfied customers are with the product or service provided.

Conversion rates refer to the percentage of website visitors who complete a desired action, such as making a purchase. This metric is often used to assess the effectiveness of marketing efforts.

Financial metrics, such as revenue and profit, are crucial indicators of a system's effectiveness in generating financial returns.

Response time measures the speed at which a system responds to user requests, which is an important metric for evaluating system performance.

Therefore, based on the given options, "Financial" is not a type of effectiveness MIS metric. It is a separate category of metrics that focuses on financial performance rather than the overall effectiveness of a system.

In summary, the answer is "Financial" as it is not an effectiveness MIS metric.

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Answer:

x = -5

Step-by-step explanation:

Find the gradient:

The equation is x = -5, because in both co-ordinate pairs, the x is -5 - only the y changes

Hope this helps!

Step-by-step explanation:

f(-4) = 5x

f(-4) = 5 . -4

f( -4) = -20

same for the

f(1)

a) The given statement is true. b) The given statement is false. c) The given statement is true. d) The given statement is false. e) The given statement is true. f) The given statement is true.

Let's analyze each statement:

a. 5\(n^2\) + 3n*log(n) + 2n + 5 = O(\(n^2\)): True. The dominant term in this expression is 5\(n^2\), and the entire expression can be bounded by a constant times \(n^2\) for sufficiently large values of n.

b. 5\(n^2\) + 3n*log(n) + 2n + 5 = Ω(\(n^3\)): False. The dominant term in this expression is 5\(n^2\), and it cannot be bounded from below by a constant times \(n^3\) for sufficiently large values of n.

c. 5\(n^2\) + 3nlog(n) + 2n + 5 = O(nlog(n)): True. The expression 5\(n^2\) + 3nlog(n) + 2n + 5 can be bounded by a constant times nlog(n) for sufficiently large values of n.

d. 5\(n^2\) + 3n*log(n) + 2n + 5 = Ω(n): False. The dominant term in this expression is 5\(n^2\), and it cannot be bounded from below by a constant times n for sufficiently large values of n.

e. 3nlog(n) - 2n = Θ(n): True. The expression 3nlog(n) - 2n is of the same order of magnitude as n for large values of n. It can be bounded both from above and below by constants times n.

f. 3nlog(n) + 4n + 5log(n) = Θ(nlog(n)): True. The expression 3nlog(n) + 4n + 5log(n) is of the same order of magnitude as nlog(n) for large values of n. It can be bounded both from above and below by constants times n*log(n).

Overall, the statements are as follows:

a. True

b. False

c. True

d. False

e. True

f. True

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Answer:

$8.31

Step-by-step explanation:

you have your budget of $349.02 that's for 42 trees you are deciding tour budget by 42 giving you $8.31 per tree.

Answer:770000

Step-by-step explanation:

That how much they made

Answer:

€8988.75

Step-by-step My bad that's not the answer

Answer: 12 wins per loss- C

Step-by-step explanation:

Got it on edge 2021

Answer:

B. Robert's sister's sales total $18.00.

E. Robert's sister's sales are represented by x when solving 3.5x = 63 .

Step-by-step explanation:

Let

Robert sister's sales = x

Robert sales = 2.5 * x

= 2.5x

Total sales = Robert sister's sales + Robert sales

63 = x + 2.5x

63 = 3.5x

Divide both sides by 3.5

x = 63 ÷ 3.5

= 18

x = $18.00

Robert sales = 2.5x

= 2.5(18)

= $45.00

A. Robert's sales are represented by x when solving 3.5x=63 .

No

B. Robert's sister's sales total $18.00.

Yes

C. Robert's sales are represented by x when solving 2.6x=63 .

No

D. Robert's sales total $25.20.

No

E. Robert's sister's sales are represented by x when solving 3.5x = 63 .

Yes

The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.

The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.

Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:

28.6 = πd

d = 28.6/π

Using 3.14 as an approximation for π, we get:

d ≈ 28.6/3.14 ≈ 9.11

Therefore, the diameter of the circle is approximately 9.11 cm.

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Here, x = 6 is a vertical asymptote of f, so the function approaches infinity as x approaches 6 from both sides.

Let's start by integrating f'(x) to get f(x). We have:

f'(x) = 16(x+2)(6-x)³ - 32(x+6)

Integrating both sides with respect to x:

f(x) = ∫[16(x+2)(6-x)³ - 32(x+6)] dx

Simplifying the integral, we get:

f(x) = -2(x+2)²(6-x)⁴ + 16(x+6) + C

where C is the constant of integration.

Next, we can find the critical points of f(x) by setting f'(x) = 0:

f'(x) = 16(x+2)(6-x)³ - 32(x+6) = 0

Solving for x, we get x = -2 and x = 6 as critical points.

Now, we can use the second derivative f''(x) to determine the concavity of the function. We have:

f''(x) = (6x-x)⁴ = x⁴

Since the second derivative is always positive for x > 0, the function is concave up on the interval (6, ∞).

Similarly, since the second derivative is always negative for x < 0, the function is concave down on the interval (-∞, -2).

At x = -2 and x = 6, the function has an inflection point.

Finally, we know that x = 6 is a vertical asymptote of f, so the function approaches infinity as x approaches 6 from both sides.

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Answer:

id.k

Step-by-step explanation:

Answer:

\(\Large \boxed{\sf \angle 6 + \angle 8}\)

Step-by-step explanation:

Supplementary angles add up to 180°

Angles on a straight line add up to 180°

\(\angle 1 + \angle 2=180\°\)

\(\angle 4 + \angle 8=180\°\)

Interior angles add up to 180°

\(\angle 7 + \angle 6=180\°\)

\(\angle 6+ \angle 8\neq 180\°\)

The average rate of change of the function f(x) = x² + 2x over the interval [1, 3] is 6.

Calculating the difference in function values divided by the difference in x-values will allow us to determine the average rate of change of the function f(x) = x2 + 2x for the range [1, 3].

The formula for the average rate of change (ARC) is

ARC = (f(b) - f(a)) / (b - a)

Where a and b are the endpoints of the interval.

In this case, a = 1 and b = 3, so we can substitute the values into the formula:

ARC = (f(3) - f(1)) / (3 - 1)

Now, let's calculate the values:

f(3) = (3)² + 2(3) = 9 + 6 = 15

f(1) = (1)² + 2(1) = 1 + 2 = 3

Plugging these values into the formula:

ARC = (15 - 3) / (3 - 1)

= 12 / 2

= 6

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The complete question is:

Find the average rate of change of the function over the given interval.

f(x) = x² + 2x,         [1, 3]

Answer:

Hi im filipino :))

Step-by-step explanation:

Thanks for the points

Answer:

0.0068

Step-by-step explanation:

i had this question

Answer:

Step-by-step explanation:

Increasing the difference between the sample mean and the original population mean will the and so will the Z score

Increasing the difference between the sample mean and the original population means. Increasing the population standard deviation. Increasing the number of scores in the sample. A larger difference will produce a larger value in the numerator which will produce a larger z-score.

Answer:

angle NKP = 60 degrees

Step-by-step explanation:

A line will always equal 180 degrees

If angle JKM and angle MKN are complentary, that means they will add up to 90. Since angle JKM is 40 degrees, angle MKN must be 50 degrees

Angle LKP is 30 degrees

Form an equation:

180 = 40 + 50 + 30 + angle NKP

Combine like terms

180 = 120 + angle NKP

Subtract 120 from both sides to isolate the unknown angle

60 = angle NKP

In ∆RAM and ∆REP

Let's check ratio

\(\\ \sf{:}\longrightarrow \dfrac{AR}{RE}=\dfrac{4}{12}=\dfrac{1}{3}\)

\(\\ \sf{:}\longrightarrow \dfrac{RM}{RP}=\dfrac{2}{6}=\dfrac{1}{3}\)

Hence

option B is correct

Answer:

\(second \: one \: is \: correct\)

The r-value ranges from -1 to +1, with -1 indicating a strong negative correlation. Therefore, the r-value closest to -1 represents the strongest negative correlation.

An r-value represents the strength and direction of a correlation between two variables. The strongest negative correlation occurs when the r-value is -1. In this case, as one variable increases, the other variable decreases consistently, showing a perfect negative linear relationship between the two variables.

The ability of a material to resist the flow of heat through it is gauged by the R-value , which is used in materials research and building construction. It measures the energy efficiency of insulation materials including fibreglass, foam board, and cellulose and is commonly represented in square metres kelvin per watt (m2K/W) units.

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A botanist at a nursery wants to inspect the health of the plants at the nursery. The botanist forms 6 groups of plants based on the ages of the plants (in months) describes the stratified sample of plants. Option C is the correct answer.

Researchers can generate a sample population using stratified random sampling that most accurately depicts the total community under study. A subgroup of a population is sampled in order to draw conclusions using statistics. Option C is the correct answer.

To carry out stratified random sampling, the total population is divided into uniform groups known as strata. In proportion to the population, random samples are drawn from stratified groups using proportional stratified random sampling. The strata are not representative of the population's distribution in disproportionate sampling. Stratified random sampling varies from simple random sampling in that each potential sample is equally likely to occur. Simple random sampling involves randomly selecting data from a population as a whole.

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Answer:

20x-13

Step-by-step explanation: