3x^3+10x^2+7x divided by x+1

If v=<8,3,5> w=<2,2,2>, the cosine of the angle between vectors v and w is approximately 0.93294.

To find the cosine of the angle between vectors v and w, we will use the formula:
cos(θ) = (v • w) / (||v|| ||w||)
where θ is the angle between the vectors, v • w is the dot product of v and w, and ||v|| and ||w|| are the magnitudes of v and w, respectively.
First, let's find the dot product (v • w):
v • w = (8 * 2) + (3 * 2) + (5 * 2) = 16 + 6 + 10 = 32
Next, let's find the magnitudes of v and w:
||v|| = √(\(8^2 + 3^2 + 5^2\)) = √(64 + 9 + 25) = √98
||w|| = √(\(2^2 + 2^2 + 2^2\)) = √(4 + 4 + 4) = √12
Now, let's find the cosine of the angle between v and w:
cos(θ) = (32) / (√98 * √12) = 32 / (9.899494936611665 * 3.4641016151377544) ≈ 0.93294

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The cosine of the angle between v and w is 0.9332

To find the cosine of the angle between v and w, we can use the formula:

cos(Ф) = (v.w) / (||v|| ||w||)

where Ф is the angle between v and w, the . represents the dot product, and || || represents the magnitude or length. First, let's calculate the dot product of v and w:

v.w = 8*2 + 3*2 + 5*2 = 32

Next, let's calculate the magnitudes of v and w:

||v|| = sqrt(8^2 + 3^2 + 5^2) = sqrt(98)

||w|| = sqrt(2^2 + 2^2 + 2^2) = sqrt(12)

Now we can substitute these values into the formula:

cos(Ф) = (v.w) / (||v|| ||w||)
cos(Ф) = 32 / (sqrt(98) * sqrt(12))
cos(Ф)= 32 / (sqrt(1176))
cos(Ф) = 32 / 34.29
cos(Ф)= 0.9332

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PART A:

In the expression -7 - (-9), we can combine both negative signals and create a positive signal, so the expression will be -7 + 9.

That means in the number line we start at the number -7 and go 9 units to the right.

So Karissa is not correct, because she said a different starting point and a different direction to add the 9 units.

PART B:

Let's solve the equation:

We can see that the equation is not true, since the final statement is false. So Hugo is not correct, because the final values of each side of the equation didn't match.

No; the date does not suggest causation, and many people who listen to loud music can hear well.

The following information should be considered:

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Answer:

I believe the answer is B

There are 3,315,312 possible passwords containing exactly 5 letters with no repetition. To find out how many passwords are possible with exactly 5 letters, without repeating any letters, you need to consider the total number of letters available and the different combinations that can be formed.

There are 26 letters in the English alphabet. Since each letter can only be used once in a password, you can think of this problem as choosing 5 different letters from the pool of 26. This is a permutation problem.

For the first letter, you have 26 options. After selecting the first letter, you have 25 options left for the second letter. This continues for all 5 letters in the password. To find the total number of possible passwords, multiply the number of options for each letter:

26 options (1st letter) * 25 options (2nd letter) * 24 options (3rd letter) * 23 options (4th letter) * 22 options (5th letter)

26 * 25 * 24 * 23 * 22 = 3,315,312

So there are 3,315,312 possible passwords containing exactly 5 letters with no repetition.

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Answer:

C

Step-by-step explanation:

Radius: 12 / 2 = 6 m

Area: 6^2 x pi = 113 m^2

Answer:

c

Step-by-step explanation:

area = π · r²

to change the diameter to radius you just divide by 2

12/2=6 so the radius is 6

then we just plug 6 into r for the circle are formula

6²=36

36x3.14=113.04 so her best answer choice is c

To obtain the residuals from the fit in 8.4a and plot them against y and x, as well as prepare a normal plot, we need the specific details of the fit and the data used.

WE know that residuals represent the differences between the observed values and the predicted values from a statistical model or regression analysis.

Since the residuals against y and x can help identify patterns or trends in the data that may indicate issues with the model's fit.

A normal plot, known as a Q-Q plot, compares the distribution of the residuals to a theoretical normal distribution. If the residuals closely follow a straight line in the normal plot, the residuals are normally distributed, which is an assumption of many statistical models.

Interpreting these plots involves examining the patterns and deviations from expected behavior. If the residuals exhibit a consistent pattern, it might indicate that the model does not capture all the relevant information in the data.

Thus if the residuals appear randomly scattered around zero with no discernible pattern, it suggests that the model adequately explains the data. Deviations in the normal plot may indicate departures from the assumption of normality in the residuals, which could impact the reliability of statistical inferences.

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Answer:

d(−5−6)(2.718282)(52)f(4−4)g(−6−12) =0

Step-by-step explanation:

d(−5−6)(2.718282)(52)f(4−4)g(−6−12) =0

a.  4 is an extraneous root. , b. 0 is an extraneous root. , c. -3 is an extraneous root. , d. -13.21 is an extraneous root. , e. 9.22 is an extraneous root.

To solve the equation, we can begin by finding a common denominator for the fractions on the left-hand side. The common denominator is (x + 3)(x - 4). We can then rewrite the equation as follows:

[4x(x - 4) + 3(x + 3)] / [(x + 3)(x - 4)] = 5

Expanding and simplifying the numerator, we have:

[4x^2 - 16x + 3x + 9] / [(x + 3)(x - 4)] = 5

Combining like terms, we obtain:

(4x^2 - 13x + 9) / [(x + 3)(x - 4)] = 5

To eliminate the fraction, we can cross-multiply:

4x^2 - 13x + 9 = 5[(x + 3)(x - 4)]

Expanding the right-hand side, we get:

4x^2 - 13x + 9 = 5(x^2 - x - 12)

Simplifying further:

4x^2 - 13x + 9 = 5x^2 - 5x - 60

Rearranging the equation and setting it equal to zero, we have:

x^2 - 8x - 69 = 0

To solve this quadratic equation, we can factor or use the quadratic formula. Factoring the equation may not yield rational roots, so we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For the equation x^2 - 8x - 69 = 0, we have a = 1, b = -8, and c = -69. Substituting these values into the quadratic formula, we get:

x = (-(-8) ± √((-8)^2 - 4(1)(-69))) / (2(1))

= (8 ± √(64 + 276)) / 2

= (8 ± √340) / 2

= (8 ± 2√85) / 2

= 4 ± √85

So, the possible solutions for x are x = 4 + √85 and x = 4 - √85.

Now, let's check which of the given options (a, b, c, d, e) are extraneous roots by substituting them into the original equation:

a. 4: Substitute x = 4 into the equation: 4(4)/(4 + 3) + 3/(4 - 4) = 5. This results in a division by zero, which is undefined. Therefore, 4 is an extraneous root.

b. 0: Substitute x = 0 into the equation: 4(0)/(0 + 3) + 3/(0 - 4) = 5. This also results in a division by zero, which is undefined. Therefore, 0 is an extraneous root.

c. -3: Substitute x = -3 into the equation: 4(-3)/(-3 + 3) + 3/(-3 - 4) = 5. Again, we have a division by zero, which is undefined. Therefore, -3 is an extraneous root.

d. -13.21: Substitute x = -13.21 into the equation and evaluate both sides. If the equation does not hold true, -13.21 is an extraneous root.

e. 9.22: Substitute x = 9.22 into the equation and evaluate both sides. If the equation does not hold true, 9.22 is an extraneous root.

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approximately 50 % of the values in a normal distribution will lie below the mean, and the remaining 50 % will lie above the mean.

In a normal distribution, approximately 50 % of the values lie below the mean.

A normal distribution is symmetric around its mean, with the mean located at the center. Since the distribution is symmetric, half of the values will fall below the mean and the other half will fall above the mean.

Therefore, approximately 50 % of the values in a normal distribution will lie below the mean, and the remaining 50 % will lie above the mean.

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Approximately 50% of the values lie below the mean in a normal distribution.

In a normal distribution, the mean is located at the center of the distribution. The distribution is symmetric, meaning that there are an equal number of values on both sides of the mean. To determine the percentage of values below the mean, we need to find the area under the curve to the left of the mean.

In a standard normal distribution, which has a mean of 0 and a standard deviation of 1, approximately 50% of the values lie below the mean. This means that if we were to calculate the area under the curve to the left of the mean, it would be approximately 0.5 or 50%.

It's important to note that in a normal distribution with a different mean and standard deviation, the percentage of values below the mean may vary. However, the concept remains the same - the area under the curve to the left of the mean represents the percentage of values below the mean.

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Answer:

  x = 11

Step-by-step explanation:

If we assume that points A, B, and C are on the same line with B between A and C, then we have ...

  AB +BC = AC

  (4x +34) +(6x +6) = 150 . . . . use the given expressions

  10x +40 = 150 . . . . . . . . . . . . collect terms

  10x = 110 . . . . . . . . . . . . . . . .  subtract 40; next, divide by 10

  x = 11

Answer:

After 6 months, Casey would pay $360 to join either gym.

Step-by-step explanation:

At the first gym, the cost is $35 per month in addition to a $150 joining fee.  So, the equation based on 'x' number of months and a total cost of 'c' is:

c = 35x + 150

At the second gym, the cost is just $60 per month.  So, the equation based on 'x' number of months and a total cost of 'c' is:

c = 60x

Since you want to find the number of months 'x' it would take until Casey would pay the same amount to be a member of either gym, you can take the two equations and set them equal to each other:

35x + 150 = 60x

Subtract 35x from both sides: 35x - 35x + 150 = 60x - 35x or 150 = 25x

Divide both sides by 25: 150/25 = 25x/25 or x = 6

So, after 6 months, the cost would be same.  The find the cost, replace 'x' with 6 in one of the equations:  c = 60(6) = $360.

If he is planning on canceling in 5 months, the better option would be the second gym that costs $60 per month

I hope this helps!!!

Answer:

12x-39

Step-by-step explanation:

40-1=39

Answer:

L=2v/n -c n and -c is seperated.

Using the Shell Method, the volume of the solid obtained by rotating the region underneath the graph of y=1/√(x^2+6) over the interval [0,7], about the line x=0, is approximately 125.979 cubic units.

To find the volume using the Shell Method, we divide the region into infinitely thin vertical strips, or shells, and integrate their volumes. Each shell has a height equal to the function y=1/√(x^2+6) and a thickness of dx.

The radius of each shell is the distance from the axis of rotation (x=0) to the corresponding x-coordinate. In this case, the radius is simply x.

The volume of each shell can be calculated as 2πx * (1/√(x^2+6)) * dx, where 2πx represents the circumference and (1/√(x^2+6)) represents the height.

To find the total volume, we integrate the volume expression with respect to x over the interval [0,7]:

V = ∫[0,7] 2πx * (1/√(x^2+6)) * dx.

Evaluating this integral yields approximately 125.979 cubic units.

Therefore, the volume of the solid obtained by rotating the region underneath the graph of y=1/√(x^2+6) over the interval [0,7], about the line x=0, is approximately 125.979 cubic units.

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On a circle with a radius of 4 and center at (0, 0), to find the x and y coordinates at an angle of 180 degrees (or π in radian measure), we can use the trigonometric functions.

At 180 degrees, the x-coordinate will be 0, as it lies on the y-axis. The y-coordinate can be found by using the sine function.  Using the equation y = r * sin(θ), where r is the radius and θ is the angle in radians, we can substitute the values. In this case, r is 4 and θ is π (since 180 degrees equals π radians).

Therefore, the x-coordinate is 0 and the y-coordinate is 4 * sin(π) = 0. So, the x-coordinate is 0 and the y-coordinate is also 0.
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The university administration should not trust the results from this study as it did not take a random sample.

The appropriate question to ask in order to assess the evidence provided by the sample data is, "How likely is it to observe a difference of 0.09 or more extreme if there is no difference in the mean GPA for male and female scholarship athletes?"

This is because the sample data shows a difference of 0.09, so we want to find out how likely it is to observe a difference of this size or greater, given that there is no actual difference between the GPA of male and female scholarship athletes.
Based on the investigation that the professor conducted which revealed that the study was given to all of the athletes on the basketball teams exclusively, the university administration should not trust the results from this study.

This is because the study was not taken from a random sample of scholarship athletes, meaning that the sample did not accurately reflect the population. If the sample does not accurately reflect the population, then the results may be biased and should not be trusted.

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Answer:

B. C. and D.

Step-by-step explanation:

To determine the minimum sample size needed for the researcher to be confident that his estimate is within "mm" hg of the true mean systolic blood pressure, we will use the following formula:

n = (Z * σ / E)²

where:
n = minimum sample size
Z = Z-score corresponding to the desired confidence level
σ = population standard deviation (in this case, "mm" hg)
E = margin of error (in this case, "mm" hg)

1. Determine the Z-score corresponding to the desired confidence level. Common confidence levels include 90%, 95%, and 99%, which correspond to Z-scores of 1.645, 1.960, and 2.576, respectively. Choose the appropriate Z-score based on the desired confidence level.

2. Substitute the given values of σ and E (both in "mm" hg) and the chosen Z-score into the formula: n = (Z * σ / E)²

3. Carry out the calculations, rounding the result up to the nearest whole number. This will ensure that the sample size is the minimum whole number that satisfies the requirements.

4. The result is the minimum sample size needed for the researcher to be confident that his estimate is within "mm" hg of the true mean systolic blood pressure.

Note: Since this question haven't provided specific values for standard deviation, margin of error, and desired confidence level . follow the steps with the specific values you have to find the minimum sample size.

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Answer:

For the first one, it is x11. The second one is x3.

Step-by-step explanation:

1.  2x11=22 4x11=44

2. 6x3=18 3x3=9

Answer:

The equation of the line of best fit is y=(1)(12)x using the exponential regression.

Answer:

\(y=\frac{1}{4} x+3\)

Step-by-step explanation:

\(y-5=\frac{1}{4} (x-8)\)

\(y=\frac{1}{4} x-2+5\)

\(y=\frac{1}{4} x+3\)

Hope this helps

Answer:

y = \(\frac{1}{4}\) x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = \(\frac{1}{4}\) , then

y = \(\frac{1}{4}\) x + c ← is the partial equation

to find c substitute (8, 5 ) into the partial equation

5 = 2 + c ⇒ c = 5 - 2 = 3

y = \(\frac{1}{4}\) x + 3 ← equation of line

Answer:

It is D and if you don't the y-values increase by 9.

Answer:

1

Step-by-step explanation:

1>1 NO FALSE 1==1

Step-by-step explanation:

9-3 =6

So we have 6 dollars for 3 bracelets

Which means each bracelet costs 2 dollar each

So 9x-3x=6x

Answer:

149

Step-by-step explanation:

JUST TOOK TEST

Answer:

149

Step-by-step explanation:

Answer:

x-intercepts: (-6,0) and (2,0)

y-intercepts: (0,-12)

Minimum value at x = -2

True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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