Evaluate
|-9|=

Please helpp

Answer:

8/17

Step-by-step explanation:

A cosine of an acute angle in a right triangle is equal to the length of the shorter side divided by the length of hypotenuse.

The equation of the line that passes through the point (8,4) and has a slope of 0 is y = 4.

Given:

point (8,4) and has a slope of 0

slope m = 0

Standard line equation is y = mx + c

substitute (8,4) and m values in y = mx + c

4 = 0*8 + c

4 = 0 + c

c = 4

c , m values in y = mx + c

y = 0*x + 4

y = 0 +4

y = 4.

Therefore The equation of the line that passes through the point (8,4) and has a slope of 0 is y = 4.

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The angle between vectors v and w is θ = arccos(5 / sqrt(10)).

To find the angle between vectors v and w, we can use the dot product formula and the properties of complex numbers.

The dot product of two complex numbers can be computed by multiplying their conjugates and taking the real part. The dot product formula is as follows:

v · w = Re(v * conjugate(w))

Given v = -21 + 7j and w = 4i + 8j, let's calculate the dot product:

v * conjugate(w) = (-21 + 7j) * (-4i - 8j)

= (-21 * -4) + (-21 * -8j) + (7j * -4i) + (7j * -8j)

= 84 + 168j - 28ji - 56j^2

= 84 + 168j - 28ji + 56 (since j^2 = -1)

= 140 - 28ji + 168j

Now, let's find the real part of the result to obtain the dot product:

Re(v * conjugate(w)) = 140

The magnitude (norm) of a complex number can be computed as the square root of the sum of the squares of its real and imaginary parts. We can calculate the magnitudes of vectors v and w as follows:

|v| = sqrt((-21)^2 + 7^2) = sqrt(441 + 49) = sqrt(490) = 7sqrt(10)

|w| = sqrt(4^2 + 8^2) = sqrt(16 + 64) = sqrt(80) = 4sqrt(5)

Now, we can find the cosine of the angle between v and w using the dot product and magnitudes:

cos(θ) = (v · w) / (|v| * |w|) = 140 / (7sqrt(10) * 4sqrt(5)) = 5 / sqrt(10)

Finally, we can find the angle θ using the arccosine (inverse cosine) function:

θ = arccos(5 / sqrt(10))

The angle between vectors v and w is θ = arccos(5 / sqrt(10)).

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The next letters in the pattern are 6 and -7.The given pattern alternates between positive and negative numbers. By observing the pattern, we can determine the next numbers in the sequence.

The first number, 2, is positive. The second number is obtained by taking the negative of the previous number and subtracting 1. Therefore, -2 - 1 = -3.The third number is positive and is obtained by taking the absolute value of the previous number and adding 1. Therefore, |-3| + 1 = 4.

The fourth number is negative and is obtained by taking the negative of the previous number and subtracting 1. Therefore, -4 - 1 = -5.

Following this pattern, the next number will be positive and obtained by taking the absolute value of the previous number and adding 1. Therefore, |-5| + 1 = 6.

The next number after 6 will be negative and obtained by taking the negative of the previous number and subtracting 1. Therefore, -6 - 1 = -7.

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The sequence an = ln(3n^2 + 4) − ln(n^2 + 4) converges to ln(3) as n approaches infinity.

To find the limit of the sequence an = ln(3n^2 + 4) − ln(n^2 + 4) as n approaches infinity, we can use algebraic manipulation and properties of limits

an = ln(3n^2 + 4) − ln(n^2 + 4)

= ln[(3n^2 + 4)/(n^2 + 4)]

= ln[3 + 4/n^2]/[1 + 4/n^2]

= ln(3) + ln[1 + (4/n^2)] − ln[1 + (4/n^2)]

= ln(3)

As n approaches infinity, the expression inside the natural logarithm approaches 3, so the limit of the sequence is ln(3):

\(\lim_{n \to \infty} a_n\)  = ln(3)

Therefore, the sequence converges to ln(3).

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The given question is incomplete, the complete question is:

A) Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.)

an = ln(3n^2 + 4) − ln(n^2 + 4)

lim n→∞ an = ?

Answer:

8 problems per day for

12 of the days and

9 problems per day for

24 of the days

Step-by-step explanation:

Answer -2x^4 - 2x^3 + 22x^2 - 30x + 12

Here's your solution

=> (2x^2 - 4x + 2) - (x^2 + 3x - 6)

=> (2x^2 - 4x + 2) -x^2 - 3x + 6

=> firstly multiple whole with -x^2

=> -x^2(2x^2 - 4x + 2) = -2x^4 + 4x^3 - 2x^2

=> now with -3x

=> -3x(2x^2 - 4x + 2) = -6x^3 +12x^2 -6x

=> with 6

=> 6(2x^2 - 4x + 2) = 12x^2 - 24x + 12

=> now add all terms

=> -2x^4 - 2x^3 + 22x^2 - 30x + 12

hope it helps and your day will be full of happiness ^_^

Answer: ich weiß nicht, aber ich will die freien Punkte

To calculate the balance after two years with a 10% APR that is compounded, you can use the following formula:

Balance = Principal x (1 + (APR / n))^(n x t)

where:

Principal = $500 (the initial amount charged on the credit card)

APR = 10% (the annual percentage rate)

n = 12 (the number of times per year that interest is compounded, since there are 12 months in a year)

t = 2 (the number of years)

Plugging in these values, you get:

Balance = 500 x (1 + (0.10 / 12))^(12 x 2)

Balance = 500 x (1 + 0.008333)^24

Balance = 500 x 1.2214

Balance = $610.70

Therefore, the balance after two years with a 10% APR that is compounded will be $610.70 (assuming no additional fees).

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Linear regression assumes a linear relationship and normal distribution of the residuals, which is not present in this data due to the cyclical pattern and non-normal distribution. Therefore, linear regression is not an appropriate approach for this data.

It is based on the assumption that the data follows a linear pattern, and that the residuals are normally distributed. This means that the residuals should be close to the line and form a straight line pattern. However, in this data, there is a cyclical pattern and a non-normal distribution of the residuals. Therefore, the assumptions of linear regression are not met and it is not an appropriate approach to build a model for this data. Other models, such as non-linear regression, may be more suitable for this data. Non-linear regression can account for non-linear patterns, such as the cyclical pattern present in this data, and will be better able to capture the relationship between the two variables.

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Step-by-step explanation:

Angles in a triangle add up to 180° and angles on a straight line add up to 180° with this information we can solve this problem.

180° - 95° = 85°

Now you have two of the angles, which means all you have to do to find the x is add your two angles up and take them away from 180°.

85° + 60° = 145°

180° - 145° = 35°

Answer:

B

Step-by-step explanation:

Answer:

a) Exterior Angle Theorem

b) x = 109°

Step-by-step explanation:

For a, you can thank the Exterior Angle Theorem. Since the angles of a triangle equal 180°, we can figure out what the third interior angle's measurement is, then subtract that from 180 to get the exterior angle's measure. Since the two angles labeled (64° and 45°) will make an obtuse angle, then the third interior is an acute angle. Add 64 and 45 to get the exterior angle's measurement of 109 degrees. That would mean the third interior angle's measurement would be 71 degrees. 64 + 45 + 71 = 180, so this is true.

(I had used the HSEAT to explain this.)

Answer:

24 g

Step-by-step explanation:

hello,

The big cube is compose by the 8 small cubes.

Because of the symmetry we can check what's happening to one of this small cube.

As Amanda has already painted the big cube it means that the same cube has 3 faces painted, so 3 faces are left unpainted. only 50 % is painted.

so Amanda need 24 grams to paint the unpainted surfaces of the 8 cubes.

hope this helps

24 feet is the lengths of the sides of the rectangular field .

What do you mean by rectangular?

Since the area is 2400, hence:

Area = length * width = x * y

2400 = xy

y = 2400/x

A Hence divide the field in half and is parallel to one of the sides of the rectangle. Hence:

Amount of fencing needed (P) = x + x + y + y  + y = 2x + 3y

Amount of fencing needed (P) = 2x + 3(2400/x) = 2x + 7200/x

To minimize the amount of fencing needed, dP/dx = 0, hence:

dP/dx = 2 - 7200/x²

2 - 7200/x² = 0

2 = 7200/x²

2x² = 7200

x² = 3600

x = 60 feet

y = 2400/x =  2400/60 = 24 feet

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Answer:

64 boards:)

Step-by-step explanation:

Answer:

hope this helps

Step-by-step explanation:

1) x =3 - S

2) x = 1 - O

3) x = 5 - L

4) x =. I don't understand this one. its 1/2 * 21? = V?

5) x = 10 - E

The type of data for the water consumption (liters) by a randomly chosen player on the Celtics roster during a home game would be quantitative continuous data.

This is because the variable, water consumption, is a numerical measurement that can take on any value within a specific range (e.g., 0.5 liters, 1.2 liters, 2.7 liters, etc.), and it can be measured with a high level of precision. The data is continuous because there are no restrictions on the possible values, and it can take on any value within a given range.

what is range?

In statistics, the range refers to the difference between the maximum and minimum values in a dataset. It provides a measure of the spread or variability of the data.

To calculate the range, you simply subtract the minimum value from the maximum value:

Range = Maximum value - Minimum value

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The expected value for the given Five possibilities is $6.

We have,

Payoffs of $2, $4, $6, $8, and $10.

Now,

We know that,

The expected value  \(=\Sigma (x*P(x))\)

i.e. The sum of product of possible outcome and each outcome.

Here, x = Each outcome

And

P(x) = Possible outcomes

So,

Probability of x (Px) \(=\frac{1}{5}\),

Now,

According to the above mentioned formula,

i.e.

The expected value  \(=\Sigma (x*P(x))\)

We get,

\(=\Sigma\ (\frac{1}{5} * 2) + (\frac{1}{5} * 4) + (\frac{1}{5} * 6) +(\frac{1}{5} * 8) +(\frac{1}{5} * 10)\)

On solving we get,

\(=\Sigma\ (0.4 + 0.8 + 1.2 + 1.6 + 2)\)

i.e.

The expected value = $6

So,

The expected value for given possibilities is $6.

Hence we can say that the expected value for the given Five possibilities is $6.

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The total maximum area enclosed by both the shapes square and a circle using given wire is equal to 2.27 square feet.

As given in the question,

Let 'x' be the side length of the square

And 'r' be the radius of the circle.

Length of the wire = 4 feet

Maximum side length of the square is:

4x = 4

⇒ x = 1feet

Maximum area of the square = x²

                                                = 1²

                                                = 1

Maximum radius of the circle is:

2πr = 4

⇒ r = 2 / π

Maximum area of the circle = πr²

                                              = π × (2/π)²

                                              = 4 / π

Total maximum area enclosed by square and a circle

= 1 + (4/π)

= 1 + 1.27

= 2.27 square feet.

Therefore, the total maximum area enclosed by square and a circle from the given wire is equal to 2.27 square feet.

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Answer:

Yes there is because these angles add up to 180. and in any triangle, all the angles NEED to add up to 180 degrees,

Step-by-step explanation:

Step-by-step explanation:

I think...

18×9=9×18

hope it helps

It is most important to have a random sample in inferential statistics, particularly in making statistical inferences about a population based on the sample data.

Random sampling is a critical component of inferential statistics because it helps to ensure that the sample is representative of the population. When a sample is randomly selected, each member of the population has an equal chance of being included in the sample, which reduces the risk of bias in the results. Without a random sample, the results of statistical analyses may not be accurate or generalizable to the population, and the conclusions drawn from the data may be flawed or misleading.

Therefore, random sampling is crucial in making valid statistical inferences about a population.

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The new coordinates after applying the transformation are:

E(-78, -4)

F(-78, -40)

G(102, -40).

To find the new coordinates after applying the given transformation of center (-6, -4) and a scale factor of 6, we need to multiply the distance between each point and the center by the scale factor and then add the result to the center coordinates.

Let's calculate the new coordinates for each point:

For point E(-18, -4):

New x-coordinate = (-18 - (-6)) * 6 + (-6) = -12 * 6 - 6 = -78

New y-coordinate = (-4 - (-4)) * 6 + (-4) = 0 * 6 - 4 = -4

Therefore, the new coordinates for point E are (-78, -4).

For point F(-18, -10):

New x-coordinate = (-18 - (-6)) * 6 + (-6) = -12 * 6 - 6 = -78

New y-coordinate = (-10 - (-4)) * 6 + (-4) = -6 * 6 - 4 = -40

Therefore, the new coordinates for point F are (-78, -40).

For point G(12, -10):

New x-coordinate = (12 - (-6)) * 6 + (-6) = 18 * 6 - 6 = 102

New y-coordinate = (-10 - (-4)) * 6 + (-4) = -6 * 6 - 4 = -40

Therefore, the new coordinates for point G are (102, -40).

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Answer:

The largest number is -0.622

Step-by-step explanation:

If you do -5/8 on a calculator you get -0.625.

If you order them (least to greatest) they would be ordered like this:

-0.65, -5/8, -0.622

Based on the information given, it can be concluded that the prediction made by Kardal using the line of best fit is specific to the dataset or population that was used to determine the line of best fit.

The line of best fit is a statistical technique used to find a line that best represents the relationship between two variables. In this case, it seems that Kardal used the line of best fit to establish a relationship between height and shoe size. However, without additional information about the dataset or the methodology used to determine the line of best fit, it is challenging to assess the accuracy or generalizability of the prediction.

It's important to note that predictions based on statistical models are subject to uncertainty and may not hold true for individuals outside the dataset used for analysis. Other factors, such as body proportions, foot structure, and personal preferences, can also influence the relationship between height and shoe size. Therefore, the prediction that a man who is 80 inches tall would wear a size 16 shoe should be taken with caution and may not be applicable in all cases.

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Given data; ace value, FV = $12,000Discount rate, i = 10%Time, t = 125 days Solution;(A) To calculate the bank discount, we use the formula for simple interest discount; Bank discount = FV * i * t/360.

we have; Bank discount = 12,000 * 0.10 * 125/360= $416.67Proceeds = FV - Bank discount Proceeds = 12,000 - 416.67= $11,583.33(C) To calculate the effective interest rate, we use the formula;Effective interest rate = [1 + (i * t/ 360)] / [1 - (i * t/ 360)] - 1Substituting the given values, we have; Effective interest rate = [1 + (0.10 * 125/ 360)] / [1 - (0.10 * 125/ 360)] - 1= 0.1429 / 0.8571= 0.1667The effective interest rate to nearest hundredth percent is 16.67%.Therefore; Bank discount = $416.67, Proceeds = $11,583.33 and the effective interest rate is 16.67%.

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Answer:

Associative Property

Step-by-step explanation:

The Associative Property states that (a+b)+c=a+(b+c). The only thing that differs is the variables.

Answer:

B. is correct

Step-by-step explanation:

have a nice day!!

Answer:

6541.7 mm³ (nearest tenth)

Step-by-step explanation:

\(\boxed{volume \: of \: cone = \frac{1}{3}\pi {r}^{2}h }\)

Given that the height is 40mm, h= 40mm.

Diameter= 2(radius)

Radius of cone

= 25 ÷2

= 12.5mm

Volume of cone

\( = \frac{1}{3} (3.14)(12.5)^{2} (40)\)

= 6541.7 mm³ (nearest tenth)