find the linearization of the function f(x)=x3 at x=1
L(x)=______
Using this linearlization, f(1.03).is approximately__

Answer:

area = 289.24 units²

Step-by-step explanation:

divide the polygon into 9 equal triangles

the top angle of a triangle will be 360°/9 = 40°

the sides of a triangles are both 10 units

The base of a triangle is 6.84 units

the height of a triangle is:

cos 20° = height/10

0.9397 = height/10

height = 9.4 units

The area of a triangle = 1/2(6.84)(9.4) = 32.13 units²

the polygon is made from 9 of these triangles, so 9 x 32.13 = 289.24 units²

The three quantities needed are the mean of X, the mean of Y, and the slope

The y-intercept of a linear regression is calculated using:

\(a = \bar y - a\bar x\)

Where:

Hence, the three quantities needed are the mean of X, the mean of Y, and the slope

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The cross-tabulation analysis is the analytical technique that assesses the statistical significance of categorical variable relationships.

If you are doing research analysis and want to compare the results of one or more variables with the results of another variable, there is only one solution i.e. cross-tabulation or crosstab.

For reference, a crosstab is a two (or more) dimensional table that records the number (frequency) of respondents with certain characteristics described in the table cells. Crosstabs provide a wealth of information about relationships between variables.

Cross-tabulation analysis has its own terminology, using terms such as 'banner', 'stub', 'chi-square statistic', and 'expected value'.

Cross-tabulation analysis (also cross-tabulation or crosstabs) is one of the most useful analytical tools and a workhorse in the market research industry.

Cross-tabulation analysis, also called contingency analysis, is most commonly used to analyze categorical (nominal measurement scale) data.

A cross-tabulation analysis is basically just a table of data that shows the results for an entire group of respondents and the results for a subgroup of respondents. This allows you to explore relationships in your data that aren't immediately apparent by just looking at the overall survey responses.

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A systematic random sample is obtained by choosing a random starting point and then selecting every kth individual from a population to participate in the study. The number of random numbers that must be produced to recognize individuals who are part of the sample is determined by the following formula:n/k is the number of random numbers required to identify the sample population of size n drawn from a population of size N by systematic random sampling.

To provide an example, consider a population of size N= 1000 and a sample of size n= 50. Assume that we must use systematic random sampling with a k=20. The population should be numbered, and the first random number between 1 and 20 is selected. The kth person after the first random number is chosen. This process is repeated for the entire population, with every kth person included in the sample. The number of random numbers generated would be 1000/20= 50. Therefore, to obtain a sample of 50 individuals, we must generate 50 random numbers to recognize each individual who will be included in the sample.

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Answer:

$699.98

Step-by-step explanation:

Answer:

--------------------

Solution in below steps:

or

Integrating and evaluating the function gives f(x) = 1/12x⁴ - 2/3x³ + 3/2x² - 5x and f(2) = -8

From the question, we have the following parameters that can be used in our computation:

∫ 1/3x³ - 2x² + 3x - 5 dx

The rule of integration is

x^n = x^(n + 1)/(n + 1)

using the above as a guide, we have the following:

∫ 1/3x³ - 2x² + 3x - 5 dx = 1/12x⁴ - 2/3x³ + 3/2x² - 5x

So, we have

f(x) = 1/12x⁴ - 2/3x³ + 3/2x² - 5x

Next, we are to calculate f(2)

This means that x = 2

So, we have

f(2) = 1/12(2)⁴ - 2/3(2)³ + 3/2(2)² - 5(2)

Evaluate

f(2) = -8

Hence, the value of f(2) is -8

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Answer:

40°

Step-by-step explanation:

180° - 90° - 50° = 40°

this is the answer I got

The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).

The midpoint formular used in finding the midpoint of a segment is expressed as;

( [x₁+x₂]/2 , [y₁+y₂]/2 )

Given the data in the question;

Point V(-2,5)

Point Z(3,-17)

Plug these values into the equation above.

( [x₁+x₂]/2 , [y₁+y₂]/2 )

( [(-2) + 3]/2 , [5 + (-17)]/2 )

( 1/2 , -12/2 )

( 1/2, -6 )

The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).

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Answer:

I'm pretty sure its a function sorry if i'm wrong.

Step-by-step explanation:

pls mark brainliest

Answer: Unless I am missing something, there are no solutions

(guessing you need to solve for x)

(given) 2 - 2x - 4= –2x + 5 ​

(combine like terms) -2 -2x = -2x + 5

(add 2 to both sides) -2x = -2x + 5

Two ways to go from here:

(subtract 2x from both sides) 0 = 7 which I think means no solutions

Or you try to figure something out, but I am not sure what that would be currently, it's been a bit since I've done this, good luck!

Answer:

B

Step-by-step explanation:

Answer:

No no no no nonononononono nononon non ono no non nononononon

Step-by-step explanation:

uhh its B  MuHmuHmUaaahaha

wth who put the muffins in the freezer?? -_-

the randomly generated integer between 0 and 100 (inclusive). If there is a tie, the winner will be randomly selected from the tied submissions. What is the probability that a person who buys a ticket with a single submission will win the lottery

The probability that a person will win depends on the number of people who buy tickets and submit their integers. Assuming there are n participants, each person's submission has a 1/n chance of being selected as the winner.

Since there are 101 possible integers that can be generated, the probability that any given person's submission is exactly correct is 1/101. Therefore, the probability that a person who buys a ticket with a single submission will win the lottery is 1/n * 1/101.

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Each time the number of hours (on the x axis) goes up by 1, the cost (on the y axis) goes up by up by $2. So each hour costs $2.

You can pick two points on the graph, such as (1,2) and (2,4) to compute the slope using the slope formula below

m = (y2 - y1)/(x2 - x1)

m = (4-2)/(2-1)

m = 2/1

m = 2 we get a slope of 2

The slope is the rise/run

rise = change in cost = change in y

run = change in time = change in x

Common theorems, properties, or strategies to the proof of the Triangle Proportionality Theorem and its converse include using similarity and congruence, angle-angle criterion, and transitive property of equality.

The Triangle Proportionality Theorem states that if a line is drawn parallel to one side of a triangle to intersect the other two sides, then the ratio of the lengths of the intersecting lines is equal to the ratio of the lengths of the corresponding sides of the triangle.

The converse of the Triangle Proportionality Theorem states that if two pairs of corresponding sides in two triangles are proportional, then the two triangles are similar.

Overall, these theorems, properties, and strategies form the basis for proving both the Triangle Proportionality Theorem and its converse, and they are used to establish the relationships between the lengths of sides and angles in triangles.

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Answer:

A

Step-by-step explanation:

Because each value of x maps onto only one value of y, it is a function.

However, because it is not the graph of a line, it is a nonlinear function.

Answer:

The 6 stands for 600

Answer:

\( \frac{ - 1}{2}x - \frac{ - 3}{2} \)

Step-by-step explanation:

I think so

To find the new coordinates of the points after Louis multiplied each x-coordinate and y-coordinate of triangle ABC by -2, we can use the following formulas:

New x-coordinate = -2 * old x-coordinate

New y-coordinate = -2 * old y-coordinate

Let's apply these formulas to each point in triangle ABC:

Point A: (-3, 4)

New x-coordinate of A = -2 * (-3) = 6

New y-coordinate of A = -2 * 4 = -8

New coordinates of A: (6, -8)

Point B: (1, 1)

New x-coordinate of B = -2 * 1 = -2

New y-coordinate of B = -2 * 1 = -2

New coordinates of B: (-2, -2)

Point C: (5, -2)

New x-coordinate of C = -2 * 5 = -10

New y-coordinate of C = -2 * (-2) = 4

New coordinates of C: (-10, 4)

Therefore, the new coordinates of the points after Louis multiplied each x-coordinate and y-coordinate of triangle ABC by -2 are:

A: (6, -8)

B: (-2, -2)

C: (-10, 4)

Answer:

d

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

x=1/4

Answer:

x = 20

Step-by-step explanation:

the 3 unknown angles form a right angle and sum to 90° , that is

x + 2x + x + 10 = 90

4x + 10 = 90 ( subtract 10 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

Answer:

Step-by-step explanation:

From the picture we know that x + 2x + x + 10 = 90°

x + 2x + x + 10 = 90

4x = 80

x = 80 : 4

x = 20°

--------------------

check

20 + 2 x 20 + 20 + 10 = 90

90 = 90

the answer is good

Answer:

\(\sqrt{3}\)

Step-by-step explanation:

See attachment 1. This is the formula to use.

There are two numbers, so n=2. Plugging them into the formula, you get

\(\sqrt[2]{6*\frac{1}{2}} \\\)

Now, putting a 2 in front just means we're finding the square root, so I'll get rid of it. Then, just do the calculation.

\(\sqrt{6*\frac{1}{2}}=\sqrt{\frac{6}{2}}=\sqrt{3}\)

Answer:

√3

Step-by-step explanation:

To find the Geometric mean, multiply the values given, then take the square root.

x² = ab

x= √ab

It's a "central tendency" we are calculating.

This is different from the arithmetical mean which uses addition and division to find that average.

1.9

Step-by-step explanation:

A = kB/C -----------(1)

A=12

B = 3

C= 2

substitute A, B and C into equation (1).

12 = K × 3/2

12 = 3k/2

12×2 = 3k

3K = 24

dividing bothsides by 3

3K/3 = 24/3

K = 8

substitute K = 8 into equation (1)

A = 8B /C --------------(2)

Equation (2) is the equation connecting

A,B and C.

Finding B when A = 10 and C = 1.5

10 = 8B / 1.5

10× 1.5 = 8B

15 = 8B

Dividing bothsides by 8 :

B = 15/8

B = 1.875

B = 1. 9 ( approximately)

Answer:

expanded: 300,00+50,000+5000+600+40+5

three hundred and fifty five thousand six hundred and forty five

After answering the provided question, we can conclude that Kelly and graphs Rob have no connections, indicating that they do not know each other.

Mathematicians use graphs to visually display or chart facts or values in order to express them coherently. A graph point usually represents a relationship between two or more things. A graph, a non-linear data structure, is made up of nodes (or vertices) and edges. Glue the nodes, also known as vertices, together. This graph includes V=1, 2, 3, 5, and E=1, 2, 1, 3, 2, 4, and (2.5). (3.5). (4.5). Statistical graphs (bar graphs, pie graphs, line graphs, and so on) are graphical representations of exponential growth. a logarithmic graph shaped like a triangle

     Kelly    Bob    Rob

Jim     o       o      -

Mark    o       o      -

Alan    -       o      o

This graph depicts the friendships of Jim, Mark, Alan, Kelly, and Bob. Each person is represented as a node, and the edges show who they know. Because Jim and Mark only know Kelly and Bob, they are linked to those two nodes. Alan only knows Rob and Bob, which is why he is linked to them. Kelly and Rob have no connections, indicating that they do not know each other.

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a. The minimum sample size needed is 601.

b. The minimum sample size needed using a prior study is 304.

c. The difference between the results from parts (b) and (a) shows that a preliminary estimation of the population proportion can lower the necessary minimum sample size.

The signed, fractional number of standard deviations above the mean value that an event is above is expressed by the dimensionless variable known as the z-score. Among other names, it is also referred to as the normal score, z-value, and standard score. Z-scores are indicative of values that are higher than the mean and lower than the mean.

(a) To find the minimum sample size needed assuming that no prior information is available, we can use the formula:

n = (Zα/2)² *\(\hat p \hat q\)/ E²

where Zα/2 is the z-score corresponding to the desired level of confidence (90% confidence corresponds to a z-score of 1.645), \(\hat p\) is the sample proportion (unknown), \(\hat q = 1 - \hat p\), and E is the maximum error of estimation (2% of the true proportion, or 0.02).

Plugging in the values, we get:

n = (1.645)² * 0.5*0.5 / 0.02² ≈ 601

Consequently, 601 is the required minimum sample size.

(b) To find the minimum sample size needed using a prior study that found that 42% of the respondents said they think Congress is doing a good or excellent job, we can use the formula:

n = (Zα/2)² * \(\hat p \hat q\) / E²

where now we have a preliminary estimate of the population proportion, \(\hat p = 0.42, and \hat q = 1 - \hat p.\)

Plugging in the values, we get:

n = (1.645)² * 0.42*0.58 / 0.02² ≈ 304

Therefore, the minimum sample size needed using a prior study is 304.

(c) The result from part (b) is smaller than the result from part (a), indicating that having a preliminary estimate of the population proportion can reduce the minimum sample size needed. This is because a preliminary estimate can provide a starting point for the sample size calculation, and reduce the variability of the sampling distribution.

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The exponential equation is \(y=ab^x\). Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

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The exponential equation is y = \(ab^{x}\) . Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

The formula for exponential regression is y = \(ab^{x}\) . This refers to the process of arriving at the best exponential curve equation for your dataset. This regression is very similar to linear regression and tries to find the best (straight line) line equation for a data set.

Exponential regression refers to the process of obtaining the best exponential curve equation for a data set.

A model that explains the process of doubling growth.

The exponential equation is y = \(ab^{x}\)

Exponential functions are commonly used in life sciences and are used to represent the specific quantity that you want to model. B. Population size modeled over time. Plots of experimental data are usually plotted with time on the x-axis and quantity on the y-axis.

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The correct options for explaining why the function is discontinuous at a = -2 are: A. f(-2) and lim x→-2 f(x) exist, but are not equal. C. lim x→-2+ f(x) and lim x→-2- f(x) exist, but are not equal.

For the function f(x) = 1/(x+2), when x approaches -2 from both sides, the limits exist, but they are not equal. lim x→-2+ f(x) represents the limit as x approaches -2 from the right side, and lim x→-2- f(x) represents the limit as x approaches -2 from the left side. Since the limits from the left and right sides are not equal, the function is discontinuous at x = -2.

Option D (f(-2) is undefined) is incorrect because f(-2) is defined and equal to 1/0, which is undefined. Option B (lim x→-2 f(x) does not exist) is incorrect because the limits do exist, but they are not equal. Option E (none of the above) is incorrect because options A and C correctly describe the nature of the discontinuity at x = -2.

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The function f(x) = 1/x+2 is discontinuous at x = -2 because inputting -2 into the equation results in division by zero, which is undefined. As x approaches -2, the function values either become infinitely large or infinitely small, which means the limit does not exist.

The function f(x) = 1/x+2 is discontinuous at x = -2 because trying to input -2 into the equation would result in division by zero, which is undefined. Specifically, f(-2) would equal 1/(-2+2) = 1/0, and division by zero is undefined. Therefore, options B and D correctly describe why the function is discontinuous at x = -2.

Option B, that states 'lim x→−2 f(x) does not exist' is correct because as x approaches -2, the function values get infinitesimally large in either the positive or negative direction, rather than settling on a specific value.

And Option D, stating that 'f(−2) is undefined' is also correct because as mentioned earlier, inputting -2 into the equation causes a division by zero.

Given these reasons, the function f(x) = 1/x+2 is discontinuous at x = -2.

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So, by fraction, number of times he will have to fill the smaller measuring cup to equal 1 3/4 cups is 7 times.

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

Glass holds = 1(3/4) cups of water

One cup holds = 1/4 cup of water

number of 1/4 cups needed to fill the 1(3/4) cups of water glass.

\(\frac{1}{4xC}=1(\frac{3}{4})\\\\\frac{C}{4} = \frac{7}{4} \\\\C=\frac{7}{4x4}\\ \\C= 4\)

number of times the smaller cup fills the glass is 7.

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Complete Question: Quentin is filling a glass that holds 1 3/4 cups of water. he is using 1/4 cup measuring cup. how many times will he have to fill the smaller measuring cup to equal 1 3/4 cups?

To reduce the third-order ordinary differential equation y - y" - 4y + 4y = 0 into a companion system of linear equations, we introduce new variables u and v:

Let u = y,

v = y',

w = y".

Taking the derivatives of u, v, and w with respect to the independent variable (let's denote it as x), we have:

du/dx = y' = v,

dv/dx = y" = w,

dw/dx = y"'.

Now we can rewrite the given differential equation in terms of u, v, and w:

u - w - 4u + 4u = 0.

Simplifying the equation, we get:

-3u - w = 0.

This equation can be expressed as a system of first-order linear differential equations as follows:

du/dx = v,

dv/dx = w,

dw/dx = -3u - w.

Now we have a companion system of linear equations:

du/dx = v,

dv/dx = w,

dw/dx = -3u - w.

To solve this system completely, we need to find the solutions for u, v, and w. By solving the system of differential equations, we can obtain the solutions for u(x), v(x), and w(x), which will correspond to the solutions for y(x), y'(x), and y"(x), respectively.

The exact solutions for this system of differential equations depend on the initial conditions or boundary conditions that are given. By applying appropriate initial conditions, we can determine the specific solution to the system.

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