−6(6p−9)−10p please respond quick this is Simplify Expressions with Distribution

The function f(x) = |x| is not differentiable at x = 0.

The absolute value function |x| has a sharp corner at x = 0, which means that the function is not smooth or continuous at this point.

To understand why f(x) = |x| is not differentiable at x = 0, we can consider the definition of differentiability. A function is differentiable at a point if the derivative exists at that point.

At x = 0, the left-hand derivative (the derivative from the left side of 0) is -1, and the right-hand derivative (the derivative from the right side of 0) is +1. Since the left-hand derivative and the right-hand derivative are not equal, the function does not have a well-defined derivative at x = 0.

In other words, the slope of the tangent line to the graph of f(x) = |x| is not well-defined at x = 0, as the function abruptly changes direction at this point.

Therefore, the function f(x) = |x| is not differentiable at x = 0.

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Answer:

85

Step-by-step explanation:

Yes, Dr. Lawrence is collecting a representative sample.

The term representative sample is a term that is used to describe a group of individuals who are selected from a population and that are meant to represent the population as a whole. The sample that Dr. Lawrence is collecting is representative because she is selecting 55 women and 45 men from the university. This means that the sample is reflective of the proportion of men and women in the university as a whole.

Dr. Lawrence is the director of counseling services at her university. She is planning to conduct a survey of 100 students at the university to see how aware they are of the counseling services that are offered at the university. She wants the proportion of men and women in her sample to reflect the proportion in the university as a whole (55% women and 45% men).

To increase the probability of a representative sample, Dr. Lawrence could use a different sampling method, such as random sampling or stratified sampling, that ensures that all members of the population have an equal chance of being selected for the sample.

Dr. Lawrence plans to stand in the student union and ask people to participate until she has given the survey to 55 women and 45 men. Thus, Dr. Lawrence is collecting a representative sample.

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Answer:

(3,8)

I hope it helps.

The answer of the given question based on the code is , the output of the code will be: The root of x³ + 2x - 2 between 0 and 1 is 0.771

MATLAB code:
To show that `x³ + 2x - 2` has a root between 0 and 1 and,

to find the root to 3 significant digits using the Newton Raphson Method,

we can use the following MATLAB code:  

Defining the function

f = (x)x³ + 2*x - 2;

Plotting the function

f_plot (f, [0, 1]);

grid on;

Defining the derivative of the function

f_prime = (x)3*x² + 2;

Implementing the Newton Raphson Method x0 = 1;

Initial guesstol = 1e-4;

Tolerance for erroriter = 0; % Iteration counter_while (1)

Run the loop until the root is founditer = iter + 1;

x1 = x0 - f(x0)

f_prime(x0);

Calculate the next guesserr = abs(x1 - x0);

Calculate the error if err < tol

Check if the error is less than the tolerancebreak;

else x0 = x1;

Set the next guess as the current guessendend

Displaying the resultfprintf('The root of x³ + 2x - 2 between 0 and 1 is %0.3f\n', x1));

The output of the code will be: The root of x³ + 2x - 2 between 0 and 1 is 0.771

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When you run the above code in MATLAB, it will display the root of x^3 + 2x - 2 to 3 significant digits.

MATLAB code:

Show that x^3 + 2x - 2 has a root between 0 and 1:

Here is the code to show that x^3 + 2x - 2 has a root between 0 and 1.

x = 0:.1:1;y = x.^3+2*x-2;

plot(x,y);

xlabel('x');

ylabel('y');

title('Plot of x^3 + 2x - 2');grid on;

This will display the plot of x^3 + 2x - 2 from x = 0 to x = 1.

Find the root to 3 significant digits using the Newton Raphson Method:

To find the root of x^3 + 2x - 2 to 3 significant digits using the Newton Raphson Method, use the following code:

format longx = 0;fx = x^3 + 2*x - 2;dfdx = 3*x^2 + 2;

ea = 100;

es = 0.5*(10^(2-3));

while (ea > es)x1 = x - (fx/dfdx);

fx1 = x1^3 + 2*x1 - 2;

ea = abs((x1-x)/x1)*100;

x = x1;fx = fx1;

dfdx = 3*x^2 + 2;

enddisp(x)

When you run the above code in MATLAB, it will display the root of x^3 + 2x - 2 to 3 significant digits.

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Answer:63.75 :)

Step-by-step explanation:

Answer:

$63.75

Step-by-step explanation:

85 x 75/100

85/1 x 3/4

255/4 - > $63.75

- You should already know how to do this yourself as this is very easy and basic question.

\(\textit{area of a circle}\\\\ A=\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=35 \end{cases}\implies A=\pi 35^2\implies A=\cfrac{22}{7}\cdot 35^2\implies A=3850\)

The amount of interest that Bertha Wooten's deposit will earn in 31 days is $38.59, which is the difference between the future value and the present value.

The future value represents the amount that will be in the account after the present value investment is compounded at an interest rate periodically.

The future value of an investment can be calculated using the future value formula, A = P (1 + i)^n.

Where:

A = future value

P = Present value of investment

i = interest rate

n = number of periods.

The future value of the investment can also be determined using an online finance calculator, as follows.

Then the interest is the difference between the future value and the present value.

Initial deposit = $8,241.78

Interest rate = 5.5% compounded daily

Investment period = 31 days

N (# of periods) = 31 days

I/Y (Interest per year) = 5.5%

PV (Present Value) = $8,241.78

PMT (Periodic Payment) = $0

Results:

FV = $8,280.37

Total Interest $38.59 ($8,280.37 - $8,241.78)

Thus, the amount of interest that Bertha Wooten's deposit will earn in 31 days is $38.59.

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Answer:

x=10

Step-by-step explanation:

If we subtract 2 from 52 we get 50 and ten mutiplys into 50.

Answer:

x=17 degrees

Step-by-step explanation:

All 3 angles = 180 degrees

So 90 + 54 + (x+19) = 180

Combine like terms

163 + x = 180

Subtract 163 from both sides

x = 180-163

x = 17

Answer:

No solution

Step-by-step explanation:

1=4|x-2|+2

-4|x-2| + 1 = 2

-4|x-2| = 1

False for every value of x

Since absolute value gives only a positive value, the -4 would always make that number negative which doesn't work

Answer:

9

Step-by-step explanation:

absolute value makes everything positive. for example |-3| = 3 and if its already positive it stays positive, for example |5| = 5

The lower and upper values of the confidence interval of the population mean for the minutes spent getting to work is (31.74,38.4)

What is Standard Deviation?

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the departure of each data point from the mean, the standard deviation may be determined as the square root of variance. The bigger the deviation within the data collection, the more the data points deviate from the mean; Hence, the higher the standard deviation, the more dispersed the data.

We know that:

\(\text { Standard Deviation }=\sqrt{\frac{\sum\left(x_i-\bar{x}\right)^2}{n-1}}\)

where \(x_{i}\)  is the mean and n is the number of observations.

\(\text { Standard Deviation }=\sqrt{\frac{\sum\left(x_i-\bar{x}\right)^2}{n-1}}\)

98% Confidence interval:  

\(\bar{x} \pm t_{\text {critical }} \frac{s}{\sqrt{n}}\)

Putting the values, we get,  

\(t_{\text {critical }} \alpha_{0.02}\\=\pm 2.14535.07 \pm 2.145\left(\frac{6.02}{\sqrt{15}}\right)\\=35.07 \pm 3.33\\=(31.74,38.4)\)

Hence, The lower and upper values of the confidence interval of the population mean for the minutes spent getting to work is (31.74,38.4)

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Answer:

there will only be one 3

Step-by-step explanation:

see cause the first 3 of both numbers are 2 but only the last one of both numbers are 3 .

Moving from the point (-1, 1) left 2 units and down 2 units, the point would end up being:

(-3, -1)

The required image of the point (-1, 1) is (-3, -1).

Given that,
To determine the image point of (-1,1)(−1,1) after a translation left 2 units and down 2 units.

Coordinate, is represented as the values on the x-axis and y-axis of the graph

Here,
The given point, (-1, 1)
This point has been translated left 2 units and down 2 units
Whenever it is right or left translation, there is a change in the coordinate of x and when there is up and down translation there is a change in the coordinate of the y-axis,

Now,
2 units left
x = -1 - 2 = -3
2 units down
y = 1 - 2 = -1

Thus, the required image of the point (-1, 1) is (-3, -1).

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The main answer is that the infinite number of types of matter arises from the unique combinations of elements and their arrangements in terms of composition and geometry.

While the number of elements is limited, their combinations and arrangements allow for an infinite number of types of matter. Elements can combine in different ratios and configurations, forming various compounds and structures with distinct properties.

Additionally, the arrangement of atoms within a molecule or the spatial arrangement of molecules within a material can create different types of matter. These factors, along with the possibility of isotopes and different states of matter, contribute to the vast diversity and infinite types of matter despite the limited number of elements.

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multiply the height x the length x the width to find the volume of a room (or another 3d object)

In a scatter plot, if all data points were aligned along a 44º angle, the correlation would be 0. The correct answer is D.

In a scatter plot, the correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.

When all data points are aligned along a 44º angle, it means that the points are distributed randomly and do not follow a clear linear pattern. There is no consistent increase or decrease in one variable as the other variable changes. Therefore, the correlation between the variables is 0, indicating no linear relationship or strength of association.

In other words, the angle of 44º suggests that the variables are unrelated and have no linear dependency on each other.

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Answer: The answer is A.  30% of 88$ is 26.40.

(a) At 4pm, the rate is (130-70)/(4-2) = 30 entries/hour. (b) The trapezoidal sum approximates E(8) = 700 entries. (c) According to the model, 600 entries had not been processed by midnight. (d) The entries were being processed most quickly at 8pm, when p(8) = 60 entries/hour.

(a) At 4pm, the rate is (130-70)/(4-2) = 30 entries/hour.

(b) The trapezoidal sum is

E(8) = (50 + 70 + 110 + 130)/4 = 700/4

= 175.

E(8)=700 entries.

(c) According to the model, p(8) = 60 entries/hour. Since 8pm to midnight is 4 hours, the number of entries that had not been processed by midnight is 60*4 = 240 entries.

(d) The entries were being processed most quickly at 8pm, when p(8) = 60 entries/hour At 4pm, the rate of entry deposits was approximated by calculating the change in the number of entries over the change in the time, which was (130-70)/(4-2) = 30 entries/hour. Using a trapezoidal sum with four subintervals given by the table, E(8) was approximated to be 700 entries. According to the model, p(8) = 60 entries/hour, so the number of entries that had not been processed by midnight was 60*4 = 240 entries. The entries were being processed most quickly at 8pm, when p(8) = 60 entries/hour.

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The question states that a study suggests that 60% of college students spend 10 or more hours per week communicating with others online.

However, you believe that this information is incorrect and decide to collect your own sample for a hypothesis test. You randomly sample 160 students from your dorm and find that 70% of them spent 10 or more hours a week communicating with others online.

A hypothesis test is used to determine whether the results from a sample are statistically significant and can be generalized to the larger population. In this case, your friend has come up with the following set of hypotheses:

1. Null hypothesis (H0): The proportion of college students who spend 10 or more hours per week communicating with others online is 60%.

2. Alternative hypothesis (Ha): The proportion of college students who spend 10 or more hours per week communicating with others online is not 60%.

Based on the information given, there are a couple of errors in the set of hypotheses proposed by your friend.

Firstly, the null hypothesis should reflect the information from the initial study, which states that 60% of college students spend 10 or more hours per week communicating online. So, the correct null hypothesis should be:

1. Null hypothesis (H0): The proportion of college students who spend 10 or more hours per week communicating with others online is 60%.

Secondly, the alternative hypothesis should reflect your belief that the initial study is incorrect, and your sample suggests a different proportion. In this case, your alternative hypothesis should be:

2. Alternative hypothesis (Ha): The proportion of college students who spend 10 or more hours per week communicating with others online is not 60%.

To summarize, the correct set of hypotheses for your hypothesis test would be:

H0: The proportion of college students who spend 10 or more hours per week communicating with others online is 60%.

Ha: The proportion of college students who spend 10 or more hours per week communicating with others online is not 60%.

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Answer:

$30.47

Step-by-step explanation:

100%-15%=85%
85%=0.85
$35.85*0.85=30.47 (to 2d.p)
Hope this helps

Step-by-step explanation:

students who like both festivals

140+150=290

290-260=30

=30

students who like one festival

260-150=110

=110

Answer:

44.2545

Step-by-step explanation:

you can find the third angle by taking 180-(90+55)=a

a=35

use law of sines

Sin(angle)/(opposite side of angle)=Sin(another angle)/(opposite side of another angle)

so, sin(a)/A=sin(b)/B

sin(35)/33=sin(55)/x

x=sin(55)/(sin(35)/33)

x=44.2545

Hope this helps :)

Answer:

84 - 38 = 46

Step-by-step explanation:

Simple math just subtract to see how much longer the mail is then the post office.

Answer:

The answer is 195mile

Step by step explanation:

We've

to solve this we need to draw a triangle

then we need to find the distance traveled by each after 3 hours

S(1) = t × V(1) = 3 × 52 = 156 mile

S(2) = t × V(2)= 3× 39 = 117 mile

the distance between them is our z

S(1) = x

S(2) = y

using the Pythagorean Theorem

z = √x^2 + y^2 = √(156)^2 + (117)^2 = √ 13689+24336 = √38025 = 195 mile

we conclude that the correct option is A, the slope is:

"the average number of pounds per foot tall"

The linear equation:

y = 48.3*x - 127

Relates the height, x, and the weight, y of an adult.

Then the slope, which is 48.3, should have units of mass over height.

Now, if x is in feet and y is in pounds, then the slope has units of pounds/feet.

Then it represents the mean number of pounds per feet. So we conclude that the correct option is A:

"the average number of pounds per foot tall"

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