Write the quadratic equation the has the roots (-1-√2)/3 and (-1+√2)/3 if its coefficient with x^2 is equal to...1

Answer:

27 or im dumb

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

each pound can make 3 burgers, so 3 x 9 is 27

The tangent vector (t), normal vector (n), and binormal vector (b) for the space curve r(t) = (-8e^t*cos(t))i - (8e^t*sin(t))j + 6k:

Tangent vector (t) = (-8e^t*sin(t))i + (8e^t*cos(t))j + 6k

Normal vector (n) = (-8e^t*cos(t))i - (8e^t*sin(t))j

Binormal vector (b) = -6e^t*cos(t)i - 6e^t*sin(t)j + 2e^t*k

The space curve is given by r(t) = (-8e^tcos(t))i - (8e^tsin(t))j + 6k.

To find t, n, and b for the space curve, we need to determine the tangent vector, normal vector, and binormal vector.

Tangent vector (t):

The tangent vector represents the direction of motion along the curve. It is obtained by taking the derivative of the position vector with respect to t.

r'(t) = (-8e^tcos(t))'i - (8e^tsin(t))'j + 0k

      = (-8e^tcos(t) + 8e^tsin(t))i + (8e^tsin(t) + 8e^tcos(t))j

Therefore, the tangent vector is t = (-8e^tcos(t) + 8e^tsin(t))i + (8e^tsin(t) + 8e^tcos(t))j.

Normal vector (n):

The normal vector represents the direction in which the curve is curving. It is obtained by taking the derivative of the tangent vector with respect to t and normalizing it.

n = (t') / ||t'||

To find n, we first need to find t'.

t' = ((-8e^tcos(t) + 8e^tsin(t)))'i + ((8e^tsin(t) + 8e^tcos(t)))'j

  = (-8e^tcos(t) - 8e^tsin(t) + 8e^tsin(t) + 8e^tcos(t))i + (-8e^tsin(t) + 8e^tcos(t) + 8e^tcos(t) - 8e^tsin(t))j

  = 0i + 0j

  = 0

Since t' is zero, the normal vector is undefined.

Binormal vector (b):

The binormal vector represents the direction perpendicular to both the tangent vector and the normal vector. It can be obtained by taking the cross product of the tangent vector and the normal vector.

b = t x n

Since the normal vector is undefined, the binormal vector is also undefined.

Therefore, for the space curve r(t) = (-8e^tcos(t))i - (8e^tsin(t))j + 6k, the tangent vector (t) is (-8e^tcos(t) + 8e^tsin(t))i + (8e^tsin(t) + 8e^tcos(t))j, and the normal vector (n) and binormal vector (b) are undefined.

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Answer:

1

Step-by-step explanation:

The function f(x) = 3x^3 - 81x + 11 is increasing on the intervals (-∞, -3) and (3, +∞), and decreasing on the interval (-3, 3).

To find the critical numbers of the function f(x) = 3x^3 - 81x + 11, we need to find the values of x where the derivative of the function is equal to zero or undefined.

The critical numbers occur at the points where the function may have local extrema or points of inflection.

First, let's find the derivative of f(x):

f'(x) = 9x^2 - 81

Setting f'(x) equal to zero, we have:

9x^2 - 81 = 0

Factoring out 9, we get:

9(x^2 - 9) = 0

Using the difference of squares, we can further factor it as:

9(x - 3)(x + 3) = 0

Setting each factor equal to zero, we have two critical numbers:

x - 3 = 0  -->  x = 3

x + 3 = 0  -->  x = -3

So, the critical numbers are x = 3 and x = -3.

Next, we can determine the intervals of increasing and decreasing. We can use the first derivative test or the sign chart of the derivative.

Consider the intervals: (-∞, -3), (-3, 3), and (3, +∞).

For the interval (-∞, -3), we can choose a test point, let's say x = -4:

f'(-4) = 9(-4)^2 - 81 = 144 - 81 = 63 (positive)

Since f'(-4) is positive, the function is increasing on the interval (-∞, -3).

For the interval (-3, 3), we can choose a test point, let's say x = 0:

f'(0) = 9(0)^2 - 81 = -81 (negative)

Since f'(0) is negative, the function is decreasing on the interval (-3, 3).

For the interval (3, +∞), we can choose a test point, let's say x = 4:

f'(4) = 9(4)^2 - 81 = 144 - 81 = 63 (positive)

Since f'(4) is positive, the function is increasing on the interval (3, +∞).

Therefore, we conclude that the function f(x) = 3x^3 - 81x + 11 is increasing on the intervals (-∞, -3) and (3, +∞). the function f(x) = 3x^3 - 81x + 11 is decreasing on the interval (-3, 3).

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Question:

Find the probability of getting a doublet in a throw of a pair of dice.

Answer:

The probability is 1 out of 6.

Explanation:

There are a total of 6 possibilities that you get a doublet, which is {1, 1}, {2, 2}, {3, 3}, {4, 4}, {5, 5}, and {6, 6}.

The total possibilities of throwing a dice are 6 possibilities for the first dice, and 6 possibilities for the second dice. Which results in a total of 6 × 6 = 36 possibilities available.

Probability = Possibilities of getting doublet ÷ Total possibilities = 6 ÷ 36 = 1 ÷ 6.

Hopefully this answer will help you.

Answer:

B.$120

Step-by-step explanation:

find 8 on the bottom, and go up until you find the dot. then look to the left to see what number matches it on the left side.

Answer:

The third answer is correct.

Step-by-step explanation:

You are going to translate the smaller quadrilateral (4 sided figure) to the larger quadrilateral.  Then you need the scale factor from the smaller figure to the larger.  

Side EF times the scale factor will give you side AB.  Let's call the scale factor s then our equation would be:

EF x s = AB  To find s divide both sides by EF

\(\frac{EF(s)}{EF}\) = \(\frac{AB}{EF}\)

s = \(\frac{AB}{EF}\)  This is our scale factor.

Helping in the name of Jesus.

Answer:

130 is your answer

Step-by-step explanation:

hope this helps

Answer:

Answer: 40% of 130 is 52

Step-by-step explanation:

Yes, Paul's Online Math Notes is a good enough source for self-teaching calculus 3 and ODE.

The site is well-organized, with clear explanations and plenty of examples and practice problems. It also includes a section on differential equations, which is helpful for those studying ODE.

However, it is always a good idea to supplement your learning with additional resources, such as textbooks, online videos, and practice problems from other sources.

This will help you gain a deeper understanding of the material and ensure that you are well-prepared for exams.

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Answer: x times (x-4)=45

Step-by-step explanation:

First since the area is 45 that’s what the equation has to be equal to.
To find the area you always have to do length times width. So the width (x) times the length (x-4) equals 45.

The research design that Doctor Larson is using is called an experiment.

This is an experiment because of the scientific methods that he is using. The experiment is made up of two subject group

The treatment group

The control group.

The treatment group are the people listening to music research

The control group are those that are not listening to any music play.

The scores from the test from these two groups would be used to make comparison and it would be established if listening to classical music helped students perform better.

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The given statement that Survey Timeline Indicates The Date For Activation Of The Measurement Instrument is true.

The measurement instrument's activation date is shown on a survey timeline. A survey timeline shows the beginning and end dates of data collector training. The responsibility for ensuring proper instrument disposition always rests with the interviewer's instructions.

A huge population's characteristics can be described through surveys. No other research methodology can offer such a wide range of capabilities, which guarantees a more accurate sample to collect focused results from which to draw conclusions and make significant judgments.

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Answer:

H

Step-by-step explanation:

here, the question says that the given regular hexagon needs to be rotated counter clockwise 300°, considering the edges labels, each movement from one edge to other is 60° as 360/6 =60.

focus on N and move on anti clockwise.

When N rotates anti clockwise about center from original to position G, is 60°,

when N moves on anti clockwise about center from original to position A is 120°.

similarly, to X is 180°, to E is 240° and to H is 300°.

so, the new position of N when rotated anti clockwise about origin of the hexagon will be at H.

Answer:

Quotient: x^(2)-6

Reminder: 7

Step-by-step explanation:

See the attached image.

The Polynomial form of F(x) / d(x)  is  (x - 6) + 7 / (x - 6).

It is the basic arithmetic operation, in which you are separating the number into some parts.

Given:

F(x) = x² - 12x +43

d(x) = x - 6

Then,

F(x) / d(x) =  x² - 12x +43 / x - 6

Factorize the numerator,

F(x) / d(x) = [(x - 6) (x - 6) + 7] / (x - 6)

F(x) / d(x) = (x - 6) (x - 6) / (x - 6) + 7 / (x - 6)

F(x) / d(x) = (x - 6) + 7 / (x - 6),

Therefore, the Polynomial form of F(x) / d(x)  is  (x - 6) + 7 / (x - 6).

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Answer: -46

Step-by-step explanation:

\(u_1=50=50-(1-1)*4\\u_2=46=50-(2-1)*4\\u_3=42=50-(3-1)*4\\...\\\\u_n=50-(n-1)*4\\\\\\u_{25}=50-(25-1)*4=-46\\\\\\Answer\ -46\\\)

The coefficient of x⁶ is the coefficient of x⁴ in the expression, which is -336.

The polynomial (x²-2x-1)8 can be expanded using the binomial theorem, which provides a formula for raising a binomial to a power.

In our case, x = x² and y = -2x - 1. Therefore, we can rewrite the function as:

((x²) + (-2x - 1))⁸

Using the binomial theorem, we can expand this function as:

∑(k=0 to 8) (8 choose k)\((x^2)^{8-k} (-2x - 1)^k\)

Now, we need to find the coefficients of x⁴ and x⁶ in this expansion. To do so, we can look for the terms where the exponents of x² and (-2x - 1) add up to either 4 or 6.

For the coefficient of x⁴, we need to find the term where the exponents add up to 4. This occurs when k = 4, which gives us:

(8 choose 4) (x^2)⁴ (-2x - 1)⁴

= 70 x⁸ (16x⁴ + 32x³ + 24x² + 8x + 1)

The coefficient of x⁴ is the coefficient of x⁴ in the above expression, which is 0. Therefore, there is no x⁴ term in the expansion of the function (x² - 2x - 1)⁸

For the coefficient of x⁶, we need to find the term where the exponents add up to 6. This occurs when k = 3, which gives us:

(8 choose 3) (x²)⁵ (-2x - 1)³

= 56 x¹⁰ (-8x³ - 12x² - 6x - 1)

Hence, 1he coefficient of x^6 in the expansion of the function (x² - 2x - 1)⁸ is -336.

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The area of the rectangular parking lot is 929.03 square meters.

Use the formula for the area of a rectangle to calculate the area of the rectangular parking lot, which is given as:

Area = length × width

We know that the parking lot is 67.5 ft wide and 148 ft long, the area can be calculated as follows:

Area = 67.5 ft × 148 f

t= 9990 sq. ft

However, the question asks for the area in square meters, so we need to convert square feet to square meters. 1 square foot is equal to 0.092903 square meters, so we can use this conversion factor to convert square feet to square meters.

Area in square meters = Area in square feet × 0.092903

= 9990 sq. ft × 0.092903

= 929.03 sq meters

Therefore, the area is 929.03 square meters.

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The operationalization of the used constructs of the model is not typically considered a part of the theoretical aspects of a model. The correct option is (B).

Operationalization refers to the process of defining and measuring the variables or constructs in a study. It involves turning abstract concepts into observable and measurable variables.

On the other hand, the theoretical parts of a model typically include:

A. The hypotheses corresponding to the model: This refers to the specific statements or predictions derived from the theoretical framework of the model.

Hypotheses provide testable expectations about the relationships between variables in the model.

C. A logical explanation of the relationship within a model: This involves providing a theoretical rationale or logical explanation for the expected relationships between variables in the model.

It is the theoretical framework that underlies the model and helps in understanding the underlying mechanisms or processes.

D. A graphical representation of the model: Graphical representation, such as diagrams or visual models, can be used to depict the structure or relationships within a model. It helps in visualizing the connections between variables and understanding the overall framework.

Therefore, B. The operationalization of the used constructs of the model does not belong to the theoretical parts of a model.

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Answer:

Perimeter = 36m

Step-by-step explanation:

Area = l x w

65m = 13m x w

5m = w

Perimeter = 2(l + w)

Perimeter = 2(13m + 5m)

Perimeter = 36m

Answer:

36m

Step-by-step explanation:

The equation for the area of a rectangle is A = w*l, where w = width and l = length

Since we already have the area and the width, we can plug those values into the equation to find the width (w)

A = w*l

65 = w*13

we can divide both sides by 13 to isolate the w variable, and we get that

w = 5

The equation for the perimeter of a rectangle is

P = 2(l +w)

P = 2(13 +5)

P =36

The perimeter is 36m

The probability it will have a sample mean life of greater than 48 days is  96%.

The probability that it will have a sample mean life of greater than 48 days is calculated as follows;

The mean stadard error is calculated as follows

M.S.E = σ / √n

where;

M.S.E = 6.2 / √30

M.S.E = 1.13

The z-score of the data set is calculated as follows;

z = (x - μ) / M.S.E

where;

z = (48 - 46) / 1.13

z = 1.77

From normal distribution table, z-score of 1.77 corresponding to probability of 0.96 = 96%

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Answer:gamble that,on average,will leave a person with the same amount of money.

Step-by-step explanation:

Answer: wavelength or frequency

Step-by-step explanation:

The reflectance curve is a plot of the light reflected off a surface as a function of wavelength or frequency. It shows how much light is reflected at each specific wavelength or frequency and can be used to analyze the optical properties of a material.

For each tank just divide the number of L by the number of fish to get the volume or fish.

For tank A it is 40/5=8, for tank B it is 100/12=8.3, and for tank C it is 180/23=7.8.

If you number them least to greatest, it is (tank C, tank A, tank B)

To calculate the probability of a type II error, we need to first determine the critical value for the test. This can be found using the formula:

Critical value = mean + (z-score for desired level of significance) x (standard deviation/square root of sample size)

Assuming a 5% level of significance and a sample size of 25, the z-score for a one-tailed test is 1.645. Plugging in the values, we get:

Critical value = 100 + (1.645) x (5/sqrt(25)) = 101.645

Next, we need to determine the probability of failing to reject the null hypothesis (i.e. making a type II error) when the true mean heat evolved is actually 103. This can be found using a normal distribution table or calculator:

z-score = (critical value - true mean)/standard deviation = (101.645 - 103)/5 = -0.31

Using the normal distribution table, the probability of a z-score of -0.31 or less is 0.3783. Therefore, the probability of making a type II error is approximately 38%.

In summary, if the true mean heat evolved is 103 and we are using a one-tailed test with a 5% level of significance and a sample size of 25, there is a 38% chance that we will fail to reject the null hypothesis and make a type II error.

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