Find the slope of each line.
66) pls answer

The function f(x) = 2 - 5 × 3(x - 2)³⁺¹ is decreasing for all values of x except for x = 2, where it is undefined.

Given the function f(x) = 2 - 5 × 3(x - 2)³⁺¹, we need to find its derivative. Using the power rule of differentiation, we get:

f'(x) = -5 × 3(3+1) × (x - 2)²

Simplifying further, we get:

f'(x) = -60(x - 2)²

Now, we need to determine the intervals where the function is increasing or decreasing.

To find the intervals where f'(x) is positive, we need to solve the inequality f'(x) > 0. We have:

-60(x - 2)² > 0

This inequality is true when (x - 2)² < 0, which is not possible. Therefore, there are no intervals where f(x) is increasing.

To find the intervals where f'(x) is negative, we need to solve the inequality f'(x) < 0. We have:

-60(x - 2)² < 0

This inequality is true when (x - 2)² > 0. This means that f'(x) is negative for all x ≠ 2. Therefore, f(x) is decreasing for all x ≠ 2.

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Answer:

\(x=-10\)

Step-by-step explanation:

\(2(x-3)+7-3x=11\)

\(2\left(x-3\right)+7-3x-7=11-7\)

\(2\left(x-3\right)-3x=4\)

\(-x-6=4\)

\(-x-6+6=4+6\)

\(-x=10\)

\(\cfrac{-x}{-1}=\cfrac{10}{-1}\)

\(x=-10\)

~

Answer:

Only the second one(B)

Step-by-step explanation:

Only the second one had a right angle of 90 degrees.

Below are the attachments of the triangle drawings.

Hope this helps!

Answer:

2, 6, and 7.

Step-by-step explanation:

In a right triangle, the hypotenuse (longest side of the triangle) squared is equal to the sum of the other sides squared.

So for the second triangle, add 36 squared to 15 squared. The result is 1521. Compare that to the hypotenuse (39) squared. The second triangle is a right triangle because the hypotenuse squared is also 1521. I did this with each triangle and the 2nd, 6th, and 7th were right triangles.

4.571 billion years is equals to  1.4415 × 10⁷ seconds.

To calculate the number of seconds in 4.571 billion years, we first need to determine how many seconds there are in a year. There are 60 seconds in a minute, 60 minutes in an hour, 24 hours in a day, and 365 days in a year. Multiplying these together gives us 31,536,000 seconds in a year.

Next, we multiply the number of seconds in a year by the number of years in 4.571 billion years. This gives us:

31,536,000 seconds/year x 4,571,000,000 years = 1.4415 × 10¹⁷ seconds

Therefore, there are approximately  1.4415 × 10¹⁷ seconds  in 4.571 billion years.

It's worth noting that this calculation assumes a standard year of 365 days. In reality, a year is slightly longer than 365 days, and so the actual number of seconds in 4.571 billion years would be slightly higher. Nonetheless, this calculation provides a good approximation.

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The researcher will need 25 participants to obtain 20 measurements within each of the 25 conditions in this within-subject design.

To determine the number of participants needed for a within-subject design with 25 conditions and 20 measurements within each condition, we need to consider the concept of counterbalancing. Counterbalancing involves systematically varying the order of conditions across participants to account for potential order effects.

In this case, each participant will need to complete all 25 conditions, with 20 measurements within each condition. Therefore, we can calculate the total number of measurements per participant:

Total measurements per participant = Number of conditions × Number of measurements per condition

Total measurements per participant = 25 × 20

Total measurements per participant = 500

To determine the number of participants needed, we divide the total number of measurements by the number of measurements per participant:

Number of participants = Total measurements / Measurements per participant

Number of participants = 500 / 20

Number of participants = 25

Therefore, the researcher will need 25 participants to obtain 20 measurements within each of the 25 conditions in this within-subject design.

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Answer:

11

Step-by-step explanation:

11

since it asks the absolute value of -11 it

will be 11 because in absolute value-for negatives it always positive.

Answer:

see attached

Step-by-step explanation:

Answer:

The only point that satisfies both equations simultaneously is (3, 0).

Step-by-step explanation:

To determine which point is a solution to the given system of linear equations, we need to substitute the coordinates of each point into the equations and see which point(s) satisfy both equations simultaneously.

Given system of linear equations:

y = −x + 3

x − 3y = 3

Substituting the coordinates of each point, we get:

(0, 3):

y = −x + 3 => 3 = -0 + 3 => 3 = 3 (satisfied)

x − 3y = 3 => 0 - 9 = 3 => -9 ≠ 3 (not satisfied)

(1, 2):

y = −x + 3 => 2 = -1 + 3 => 2 = 2 (satisfied)

x − 3y = 3 => 1 - 6 = 3 => -5 ≠ 3 (not satisfied)

(3, 0):

y = −x + 3 => 0 = -3 + 3 => 0 = 0 (satisfied)

x − 3y = 3 => 3 - 0 = 3 => 3 = 3 (satisfied)

(4, −1):

y = −x + 3 => -1 = -4 + 3 => -1 = -1 (satisfied)

x − 3y = 3 => 4 - (-3) = 3 => 7 ≠ 3 (not satisfied)

Therefore, the only point that satisfies both equations simultaneously is (3, 0).

If at 2007 math Olympics, team Canada won 17 out of a possible 100 medals , then the closest fraction for the medals they won is (c) 1/6  .

To find the closest fraction to the number of medals that Canada won, we need to convert 17/100 to a simplified fraction by dividing by 17 .

So , On dividing both the numerator and denominator by 17.

we get , the closest fraction to 17/100 is 1/6 ,

Therefore, the closest fraction to the number of medals won by Canada is 1/6. Option (c) is the closest answer to the question.

The given question is incomplete , the complete question is

At the 2007 math Olympics, team Canada won 17 out of a possible 100 medals. which one of the following is closest to the fraction of medals that they won ?

(a) 1/4

(b) 1/5

(c) 1/6

(d) 1/7

(e) 1/8

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Answer:

Irrational

Step-by-step explanation:

An irrational number added to any other real numbers still keep its infinitely long and never repeating decimals, leaving it still irrational.

Answer:

B

Step-by-step explanation:

B = 250 * 3^2t

Answer:

B

Step-by-step explanation:

its that how you would look like if you were anime sorry was looking at your pf. have a nice day

The margin of error with 9990 confidence will lead to the wider interval

The margin of error is a close estimate of the confidence interval at a certain level of probability. It is described as a very small percentage that is built in for errors. The degree of confidence denotes the likelihood that the population parameter in the interval estimation is accurate. A higher degree of assurance or accuracy in an estimate is implied by a higher confidence level.

The range of values that the genuine population parameter is expected to fall within is bigger when the interval is wider. This wider range indicates the higher degree of confidence that is required and provides for a larger estimating error. In contrast to the margin of error with a 95% confidence level, the margin of error with a 99% confidence level (9990 confidence) will often result in a broader interval as compared to 9580.

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A score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

To compare the two scores, we can convert them to z-scores, which tell us how many standard deviations a particular value is from the mean. The formula for z-score is:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

For the first score of x = 70 on an exam with μ = 82 and σ = 8, the z-score is:

z = (70 - 82) / 8 = -1.5

For the second score of x = 60 on an exam with μ = 72 and σ = 12, the z-score is:

z = (60 - 72) / 12 = -1.0

The z-score for the first score is lower than the z-score for the second score, which means that the first score is further below its mean than the second score is below its mean. Therefore, we can say that a score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

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Answer:

x>125

Step-by-step explanation:

Answer:

x>125

Step-by-step explanation:

The probability that the mean of a sample of 78 computers would be less than 97.94 months exists 0.883.

A probability is a numerical representation of the likelihood or chance that a specific event will take place.

Let the given values be

\(\mu\) = 99, \($\sigma\) = 8

Let x be the random variable that represents the life of a computer.

Sample size: n = 69

Then, the z-score corresponds to x = 97.94 will be :-

\($z=\frac{97.94-99}{\frac{8}{\sqrt{69}} \quad[\because} \quad z=\frac{x-\mu}{\left.\frac{\sigma}{\sqrt{n}}\right]}$\)

z = -1.10062

Required probability ( using standard z-value table ) :-

P(x < 97.94) = P(z < -1.10) = 1 - P(z < 1.10)

= 1 - 0.1170 = 0.883

Therefore, the probability that the mean of a sample of 78 computers would be less than 97.94 months exists 0.883.

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Answer:

0.94

Step-by-step explanation:

You just divide 47 by 50 and you get 0.94 bam!

7 test scores are 85 or greater according to the given scenario.

The third quartile (Q3) is a measure of central tendency that represents the value separating the lower 75% of a dataset from the upper 25%. In this case, the third quartile has a value of 85, meaning that 75% of the test scores are 85 or lower.

Since there are 30 exams in total, 30 x 0.75 = 22.5 exams have scores of 85 or lower. To find the number of exams with scores of 85 or greater, we subtract the number of exams with scores of 85 or lower from the total number of exams, which is 30 - 22.5 = 7. This means that 7 exams have scores of 85 or greater.

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The area of the rectangle should be written as 0.682 m². To determine the area of a rectangle, you multiply its length by its width. The length of the rectangle is 1.125 m, and the width is 0.606 m.

Area of rectangle = length x widthA = 1.125 m x 0.606 mA = 0.68175 m²Now, rounding the answer to the correct number of significant figures, which is 3. The digit after the third significant figure is 7 which is greater than 5, therefore the third digit should be rounded up. So the final answer will be 0.682 m².

Thus, the long answer to this question is: After multiplying the length and width of a rectangle of dimensions 1.125 m and 0.606 m respectively, the product obtained from the calculator is 0.68175. To find the area of the rectangle, we use the formula A = l × w, which gives A = 1.125 m × 0.606 m = 0.68175 m². Rounding this answer to 3 significant figures, we find that the third digit is 1 which is greater than 5. Therefore, we must round the third digit up to get the final answer of 0.682 m².

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Using the formula they gave us:

Cost of shipping = 2.79 + 0.38(8)

Cost of shipping = 2.79 + 3.04

Cost of shipping = 5.83(currency unit)

Answer:

40

Step-by-step explanation:

Since the probability to choose a blue marble is 1/9, there must be 5 blue marbles since 45 * 1/9 = 5

Subtract 5 from 45 to get 40, since the rest of the marbles are red.

To calculate TW, substitute the coordinates (x, y, z) into T(x, y, z) = (x²+ yz, e^cyz). For Tˣw, substitute the coordinates (u, v) into Tˣw = u(x^2 + yz)dv. To calculate d(7ˣw), differentiate 7ˣw using exterior differentiation: d(7ˣw) = 7(du∧v + udv∧dv).

The map T: R³ → R²  is defined as T(x, y, z) = (x²   + yz, e^cyz), and the 2-form w is given as w = uvdv.

To calculate TW, we substitute the coordinates (x, y, z) into the map T and obtain T(x, y, z) = (x²   + yz, e^cyz).

Next, we calculate T³w by substituting the coordinates (u, v) into the 2-form w. Since w = uvdv, we have Tˣw = u(x²   + yz)dv.

To calculate d(7ˣw), we differentiate the 2-form 7ˣw. Since w = uvdv, we have d(7ˣw) = d(7uvdv). Using the properties of exterior differentiation, we obtain d(7ˣw) = 7d(uv)∧dv = 7(du∧v + udv∧dv).

It's important to note that we are not using the fact that d(ˣw) = ˣˣ(dw) in this calculation.

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The null hypothesis is that the mean speed of the cable Internet connection is equal to or less than three Megabits per second (H0: μ ≤ 3). The alternative hypothesis is that the mean speed is greater than three Megabits per second (Ha: μ > 3).

Based on the terms provided and the context of the question, we can establish the null and alternative hypotheses as follows:

1. Null Hypothesis (H0): The mean speed (µ) of your cable Internet connection is equal to 3 Megabits per second. Mathematically, this is expressed as H0: µ = 3.

2. Alternative Hypothesis (H1): The mean speed (µ) of your cable Internet connection is greater than 3 Megabits per second. Mathematically, this is expressed as H1: µ > 3.

The alternative hypothesis is that the mean speed is greater than three Megabits per second (Ha: μ > 3).

To summarize, your null hypothesis (H0) states that the mean speed of your Internet connection is 3 Megabits per second, while your alternative hypothesis (H1) states that the mean speed is greater than 3 Megabits per second.

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Answer:

45 in.

Step-by-step explanation:

Step 1:

Length × Width = Area           How to find Area

Step 2:

5 in. × 9 in.       Equation

Answer:

45 in.       Multiply

Hope This Helps :)

Answer:

You need to convert all the units to one unit

Answer:

38.5 mm^2

Have a nice day!

Step-by-step explanation:

Area = πr^2

Area = π(3.5^2)

Area = π(12.25)

Area = 38.48451...

Area = 38.5

Answer:

B

Step-by-step explanation:

use pythagoras first

x² + x² = (12√2)²

expand & simplify the squares

2x² = 144(2)

x² = 144

root both sides to get x

x = 12

So the order from left to right would be: Mode, Median, Mean.

In a positively skewed distribution, the mean is typically larger than the median, and the median is larger than the mode.

This can be illustrated in the following way:

Mean: The mean is affected by extreme values in the tail of the distribution, and will be pulled in the direction of the skew. Therefore, in a positively skewed distribution, the mean will be to the right of the median.

Median: The median is the value that separates the lower 50% of the data from the upper 50% of the data. In a positively skewed distribution, the tail of the distribution is on the right-hand side, which means that the median will be closer to the left-hand side than the mean.

Mode: The mode is the most frequent value in the distribution. In a positively skewed distribution, the mode will be the smallest value, located at the left-hand side of the distribution, while the mean and median will be to the right of it.

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The value of the missing probability for the given probabilities and condition of independent events is equal to 0.45.

Probability of the events A and B are,

P(A) = 7/10

P(A or B) = 167/200

Apply the formula for the probability of the union of two events,

P(A or B) = P(A) + P(B) - P(A and B)

Since events A and B are independent, we know that,

P(A and B) = P(A) x P(B)

This implies,

P(A or B) = P(A) + P(B) - P(A) x P(B)

Substitute the values we have,

⇒ 167/200 = 7/10 + P(B) - (7/10) x P(B)

⇒ 167/200 = [ 7 + 10P(B) - 7P(B) ] /10

⇒167/20 = 7 + 3P(B)

⇒3P(B) = 167/20 - 7

⇒ 3P(B) = (167 - 140)/20

⇒3P(B) = 27 /20

⇒P(B) = 9/20

⇒P(B) = 0.45

Therefore, the value of the probability P(B) is equal to 0.45.

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