50 Points!!! Is there a difference between the Additive Inverse and Additive Identity? If so, explain.

The approximation for \(\(4.7^4\)\) using linear approximation is approximately 475.

To approximate \(\(4.7^4\)\) using linear approximation, we can use the tangent line to the function \(\(f(x) = x^4\)\) at \(\(x = 5\)\).

First, let's find the equation of the tangent line. We need the slope of the tangent line, which is equal to the derivative of \(\(f(x)\)\) evaluated at \(\(x = 5\)\).

\(\(f'(x) = 4x^3\)\)

Evaluating at \(\(x = 5\)\):

\(\(f'(5) = 4(5)^3 = 500\)\)

So, the slope of the tangent line is \(\(m = 500\)\).

Next, we need a point on the tangent line. We can use the point \(\((5, f(5))\)\) which lies on both the function and the tangent line.

\(\(f(5) = 5^4 = 625\)\)

So, the point \(\((5, 625)\)\) lies on the tangent line.

Now, we can write the equation of the tangent line using the point-slope form:

\(\(y - y_1 = m(x - x_1)\)\)

Plugging in the values we found:

\(\(y - 625 = 500(x - 5)\)\)

Simplifying:

\(\(y - 625 = 500x - 2500\)\(y = 500x - 2500 + 625\)\(y = 500x - 1875\)\)

Now, we can use this tangent line to approximate\(\(4.7^4\)\). We substitute \(\(x = 4.7\)\) into the equation of the tangent line:

\(\(y = 500(4.7) - 1875\)\(y = 2350 - 1875\)\(y = 475\)\)

Therefore, the approximation for \(\(4.7^4\)\) using linear approximation is approximately 475.

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Using the normal distribution, it is found that the prediction is that the largest number of people would receive an IQ score of 100 on that test.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

IQ scores have mean of 100, and since in the normal distribution most measures are around the mean, an IQ score of 100 is the prediction.

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Answer:

The right option is option e.T-shaped.

Step-by-step explanation:

The molecular geometry or shape of clf3 is T-shaped. It acquires such shape because of presence of two lone pairs which take equatorial position and there are greater repulsions. The hybridisation is sp3d and it has 2 lone pairs

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Option e) T-shaped

The shape or molecular geometry  of ClF₃ is T-shaped. It acquires such a shape due to the presence of two lone pairs in the equatorial position and has greater repulsion. The hybrid is sp³d and it has 2 lone pairs.

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This is an example of systematic sampling, where every nth item is selected for testing throughout the production day.

In this case, every 100th product produced is selected for quality control testing. Systematic sampling is a statistical technique used in survey methodology that involves choosing components from an ordered sampling frame. An equiprobability approach is the most typical type of systematic sampling.

This method treats the list's evolution in a cyclical manner, returning to the top after it has been completed. The sampling process begins by randomly choosing one element from the list, after which every subsequent element in the frame is chosen, where k is the sampling interval (sometimes referred to as the skip).

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The left whisker is from 1 to 4, the 50% is 4 to 7 and the right whisker is between 7 to 10.

Given that a whiskers plot, we need to determine the left whisker, 50% and the right whisker of the plot,

We know that,

The plot divides the data into 4 equal parts. The left whisker represents the bottom 25% of the data, the left half of the box represents the second 25%, the right half of the box represents the third 25%, and the right whisker represents the top 25%.

Hence, the left whisker is from 1 to 4, the 50% is 4 to 7 and the right whisker is between 7 to 10.

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The shortest distance from the surface 12x^2 = 132 to the origin is √11 units.

To find the shortest distance from the surface 12x^2 = 132 to the origin (0, 0), we need to determine the distance between the origin and any point on the surface.

The given equation is 12x^2 = 132. Let's solve it for x:

12x^2 = 132

x^2 = 132/12

x^2 = 11

x = ±√11

Since we are interested in the distance from the surface to the origin, we take the positive square root: x = √11.

Now, we can calculate the distance using the distance formula:

Distance = √(x^2 + y^2)

Since the surface is defined by 12x^2 = 132, the value of y will be 0.

Distance = √(√11^2 + 0^2)

Distance = √(11 + 0)

Distance = √11

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Answer:

Step-by-step explanation:

Good morning,

You just do it in the pathway, and there is the answer for you :D.

Answer:

1=80%

2=44%

3=11%

4=15

5=30%

6=21%

7=2%

8=9%

Step-by-step explanation:

Hopefully they are all correct but I tried my best

Answer:

6

Step-by-step explanation:

It's just an educated guess but going from point A to point B there's six parts that the graph is separated by. (the lines.)

Answer:

5/9

i got it right

By factorial, 6 is different ways can they stand in line.

What does the arithmetic term factorial mean?

Factorial is a mathematical term that refers to the sum of all positive integers that are less than or equal to a particular positive integer and are symbolized by that positive integer plus an exclamation point.

                           As a result, factorial seven is denoted by the symbol 7!, which stands for 1 2 3 4 5 6 7. Factorial zero is equivalent to one.

Three students, Nicole, Xavier, and Avani  line up one behind the other.

The different ways they can stand in line = 3!

       = 3 * 2 * 1

        = 6

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Answer:

18:12

Step-by-step explanation:

30-18=12

18:12

The value of the expression 2 2/3 - (-3 2/6) is 6

The expression is given as:

2 2/3 - (-3 2/6)

Open the bracket

2 2/3 + 3 2/6

Express as improper fractions

8/3 + 20/6

Rewrite as:

16/6 +20/6

Evaluate the sum

36/6

Evaluate the quotient

6

Hence, the value of 2 2/3 - (-3 2/6) is 6

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The modal interval in the given data is identified as 25-35 minutes.

To determine the modal interval, we need to find the interval with the highest frequency. In the provided data, we have the following frequency distribution:

5- <15 minutes: 8 patients

15- <25 minutes: 20 patients

25- <35 minutes: 14 patients

35-45 minutes: 5 patients

45- <55 minutes: 0 patients

55- <65 minutes: 0 patients

From the distribution, we can see that the interval with the highest frequency is 25-35 minutes, which has 14 patients. This means that the most common duration of waiting time falls within this interval. Therefore, the modal interval is identified as 25-35 minutes.

In summary, the modal interval in the given data, representing the most frequent duration of waiting time, is 25-35 minutes. This interval has the highest frequency of patients waiting, with 14 individuals falling within this range.

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Answer:

y=-1/2x+7

Step-by-step explanation:

the y intercept is where the line crosses on the y intercept and thats 7. the slope is how much each dot rises and runs to the next which for this problem its -1/2

The given function f(x) = x^2 does not provide information about the function g(x). Therefore, the function g(x) is undefined based on the given information.

In the given question, the function f(x) = x^2 is provided. However, there is no specific information or equation given to determine the function g(x). Without any additional details or relationships between f(x) and g(x), we cannot determine the expression or definition of g(x).The function g(x) could be any arbitrary function that is unrelated to f(x), or it could be a function defined in terms of f(x) if there was a specific relationship provided. Without such information, the function g(x) remains undefined in this context.It's important to note that functions can be defined in various ways, and without specific instructions or a given relationship between f(x) and g(x), it is not possible to determine the form or expression of g(x) based solely on the information provided.

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From the information provided the measure of the angles are given as,

m ∠EFH = 71; and m ∠EFG = 142°.

Angles are measured in degrees, which is why they are called "degrees". A complete circle equals 360 degrees, so it is divided into 360 parts. Each part of the revolution is a degree. Any angle, whether acute, obtuse, reflected or right, can be measured with a protractor. Although based on right angles, we are able to distinguish acute, obtuse or reflex angles. But if we have two acute angles to measure, we cannot determine the greater angle between the two. Therefore, we need to use a protractor to measure angles accurately.

According to the Question:

It is to be noted that

m ∠GFH = m ∠EFH

⇒ m ∠EFH = 71°

⇒ m ∠EFG = m ∠GFH + m EFH

Hence,

m ∠EFG = 71 + 71

              = 142°

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Answer:

(x+9)(x+9)=25

Step-by-step explanation:

x^2+18x+81=25

or x^2+(9x+9x)+81=25

or x^2+9x+9x+81=25

or x(x+9)+9(x+9)=25

:: (x+9) (x+9) =25

Answer:

\(a2 + 5a + 4 \: \: when \: a = 3 \\ = (3)2 + 5(3) + 4 \\ \\ = 6 + 15 + 4 \\ = 25\)

\(a2 - 5a \: \: when \: a = 3 \\ = (3)2 - 5(3) \\ = 6 - 15 \\ = - 9\)

Answer:

2.5

Step-by-step explanation:

if you take 80 and 120 on the graph look at the middle you get 100 and in between 2 and 3 you get 2.5 so it would take 2.5 gallons of gas for 100 miles

Check the picture below.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{29.2}\\ a=\stackrel{adjacent}{r}\\ o=\stackrel{opposite}{22.4} \end{cases} \\\\\\ r=\sqrt{ 29.2^2 - 22.4^2}\implies r=\sqrt{ 852.64 - 501.76 } \\\\\\ r=\sqrt{ 350.88 }\implies r\approx 18.73~cm\)

Answer:

yes

Step-by-step explanation:

10 × 1/6 < 2

Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

Answer:

3920 - 36x ≤ 500

Step-by-step explanation:

Calista worked all summer to save for spending money while she is away for college. She goes off to college with $3920 in her savings account. She wants to have at least $500 left in her account at the end of her 36-week school year. Write an inequality to represent this situation.

Let the amount of money spent in 36 weeks = x

At least = Less than or equal to = ≤

$3920 - 36x ≤ $500

Hence, the inequality to represent this situation is written as:

3920 - 36x ≤ 500

Answer:

11.5 m/s

Step-by-step explanation:

Using the binomial probability function formula, the probability that the sample contains exactly 2 graduate students is 0.215.

The probability that the sample of 5 students contains exactly 2 graduate students using the binomial probability function can be determined by using the formula below:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

where n is the sample size, k is the number of successes, p is the probability of success, and (n choose k) = n! / (k! * (n - k)!) denotes the number of ways to choose k items from a set of n items.

Using the formula above and the information given, the probability of the sample containing exactly 2 graduate students can be calculated as follows:

P(X = 2) = (5 choose 2) * (0.32)² * (1 - 0.32)^(5 - 2) = 0.215

Where (5 choose 2) = 5! / (2! * (5 - 2)!) = 10 is the number of ways to choose 2 graduate students from a sample of 5 students.

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Solution:

Since the sample size is fixed;

And the probability of picking a girl is constant for each trial, the binomial distribution is appropriate;

Thus;

ANSWER: 0.32