Let f(x) = (x - 1)2,g(x) = e-2 , and h(x) = 1 In(1 2x) _ (a) Find the linearizations of f, g, and h at a = 0
Lf(x)=1-2x
Lg(x)=1-2x
Lh(x)=1-2x
Graph f, g, and h and their linear approximations. For which function is the linear approximation best? For which is it worst? Explain.
The linear approximation appears to be the best for the function (f, g, or h *h is not the answer) since it is closer to (f, g, or h) for a larger domain than it is to (f and g, g and h, f and h). The approximation looks worst for (f, g, or, h) since (f, g, or, h) moves away from L faster than (f and g, g and h, f and h) do.

The function shows the polynomial with three terms which is trinomial.

An algebraic expression with three terms is called a trinomial. One or more terms in an algebraic expression each have variables and constants. These expressions utilise separators like +, -,, and that are symbols or operations. This algebraic statement encompasses polynomials, monomials, binomials, and trinomials.

An algebraic expression known as a trinomial has three non-zero terms and more than one variable. An example of a trinomial is a polynomial having three terms.

Given:

m(x) =(3x - 1)(3 - x) + 4x² + 19

Now, solving

m(x)= 9x - 3x² - 3 + x + 4x² + 19

m(x)= x²  + 10x + 16

So, the function shows the polynomial with three terms which is trinomial.

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As angle OAB =40-degree, angle AOB is 100 degrees according to the properties of circle and triangle.

Some Properties of circle are distance from center of the circle to each point on the circumstances are equal. hence, OA=OB

Diameter is twice of radius.

The triangle having two equal side length is called isosceles triangle. In the figure, triangle OAB is an isosceles as OA=OB=radius

According to the criteria of isosceles triangle angle OAB =OBA =40°

hence, angle AOB= 180 degrees - (40°+40°) [angle sum of triangle =180°]

                  angle AOB= 100 degrees.

We get, AOB = 100 degrees

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Answer:

x/7 + 9 = 6

Step-by-step explanation:

Hope this helps! Please give brainliest!

Answer:

-48

Step-by-step explanation:

Answer:        我不知道你好

Step-by-step explanation:

Answer: \(\dfrac{127}{990}\).

Step-by-step explanation:

Let x=0.1282828...

Multiply 10 on both sides , we get

10 x = 1.282828...         (i)

Now multiply 100 on both sides , we get

1000x=128.2828...          (ii)

Eliminate (i) from (ii), we get

\(990x=127\\x=\dfrac{127}{990}\)

Hence, the required \(\dfrac{p}{q}\) form: \(\dfrac{127}{990}\).

The probability that a flight between New York City and Chicago is between 125 and 140 minutes is 50%.

To find the probability that a flight is between 125 and 140 minutes, we need to calculate the proportion of the total possible outcomes that fall within that range.

The total range of possible flight times is 150 - 120 = 30 minutes.

The range of interest is 140 - 125 = 15 minutes.

Therefore, the probability is given by the ratio of the range of interest to the total range:

Probability = (Range of interest) / (Total range) = 15 / 30 = 0.5.

So, the probability that a flight is between 125 and 140 minutes is 0.5 or 50%.

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--The given question is incomplete, the complete question is given below " The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120

minutes and a maximum of 150 minutes. What is the probability that a flight is between

125 and 140 minutes?"--

The probability that there are at least 10 neutrophils in a field of 50 bone marrow cells, given that the probability of a single bone marrow cell being a neutrophil is 0.2, is approximately 0.034.

In this problem, we are given that the number of neutrophils in a field of 50 bone marrow cells follows a binomial distribution with a probability of success, i.e., the probability of a single bone marrow cell being a neutrophil, p=0.2. We need to find the probability that there are at least 10 neutrophils in the field.

To solve this problem, we can use the cumulative distribution function (CDF) of the binomial distribution. The CDF gives the probability of getting up to a certain number of successes in a given number of trials.

Using a binomial distribution calculator or a statistical software package, we can find that the probability of getting 10 or more neutrophils in the field is approximately 0.034. Therefore, the probability that there are at least 10 neutrophils in the field is 0.034.

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Question: In a laboratory biopsy, a field of 50 bone marrow cells is observed under a microscope. A special dye is inserted, which only the neutrophils absorb. Then, the number r of neutrophils in the field is counted. What is the probability that there are at least 10 neutrophils in the field if the probability of a single bone marrow cell being a neutrophil is 0.2? Assume that the number of neutrophils in the field follows a binomial distribution.

Answer:

X >= 6.7

Step-by-step explanation:

So first of all, what you need is write out the equation from the given prompt

x + 2.7 >= 9.4
Next, what you really want to do is

Subtract 2.7 both side
x >= 9.4 - 2.7
x >= 6.7

No given statement is wrong as all rectangles have 2 line of symmetry.

A rectangle is divided into two identical halves by two lines of symmetry. Different types of symmetry, including linear symmetry, mirror symmetry, reflection symmetry, and others, can exist in a shape. A form can have two or more symmetrical lines. Remember that a rectangle is one of the quadrilaterals with equal and parallel sides. Consequently, a rectangle is also regarded as a unique parallelogram.

It should be noted that a rectangle's symmetry lines are not its diagonals. This is due to the fact that if a rectangle is cut along its diagonals, the sides will not fully superimpose.

At 180° and 360°, a rectangle has a rotational symmetry order of 2. This indicates that a rectangle can map onto itself twice during a 360° revolution, or at 180° and 360°. This is in contrast to a square, which has 4 equal sides and a rotational symmetry of 4.

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Yes, the forester was justified in using a Normal model to analyze the woods, because the histogram is unimodal and symmetric. So option A is correct.

A histogram is a type of graph that uses vertical bars to show the distribution of a set of data. This particular histogram is unimodal, meaning that it has one peak which is an indication that the data is distributed normally. Additionally, the histogram is symmetric, which is another indication that the data is normally distributed.
Using a Normal model to analyze the woods is a valid approach because it allows the forester to identify the average diameter of the trees, as well as the spread of the data. It also allows him to check for any outliers, or points that fall outside the normal range. With this information, the forester can determine if the woods is suitable for sale, or if the buyer should be aware of any unexpected features.
Overall, the histogram is an effective way for the forester to analyze the data and determine if a Normal model is appropriate. By noting the unimodal and symmetric nature of the histogram, the forester can be sure that a Normal model will accurately represent the data, allowing him to make an informed decision about the woods.

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Answer:

4

Step-by-step explanation:

2x+y=12

y=-2x+12

y-2=3(x-2)

If it’s parallel to each other: the slope has to be the same.

If is perpendicular to each other: the slope should be the reciprocal to each other.

The first equation has a slope of -2

The second has a slope of 3

Neither the condition meet. So the answer is 4

The expected value of a dice roll is the average outcome of all the possible results.

For example, if you roll a six-sided die, you can expect to get a 3.5 on average since there are an equal number of each of the six possible outcomes (1, 2, 3, 4, 5, 6). Mathematically, you can calculate the expected value of a dice roll by multiplying each possible outcome by its probability of occurring and then adding all of the values together. For example, if you roll a six-sided die, the expected value is (1/6) + (2/6) + (3/6) + (4/6) + (5/6) + (6/6) = 3.5. In other words, the expected value of a dice roll is 3.5.

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Answer:

1 feet

Step-by-step explanation:

15-14

Answer:

lol where is the rectangle?

Step-by-step explanation:

if u can send a pic id be happy to help

We can write our linear equation as:

y + 1 = (4/3)*(x + 1)

or

y - 3 = (4/3)*(x - 2)

If a linear equation passes through two points (x₁, y₁) and (x₂, y₂), then the slope is:

a = (y₂ - y₁)/(x₂ - x₁).

Here the line passes through (-1, -1) and (2, 3), so the slope is:

a = (3 + 1)/(2 + 1) = 4/3

Now, if a line has a slope a and passes through a point (x₁, y₁),then we can write that line as:

y - y₁ = a*(x - x₁)

So with our two points, we can write our line as:

y + 1 = (4/3)*(x + 1)

y - 3 = (4/3)*(x - 2)

The correct option is the first one.

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Answer:

6x^2 + 14x -12

Step-by-step explanation:

Answer:

no it is SAS

Step-by-step explanation:

because it shows aside, angle, and another side.... it will be SAS

Answer:

no

Step-by-step explanation:

Answer:

ubub

Step-by-step explanation:

option C is the correct answer. sin β = 15 / 17

Given data

Right angled triangle has sides

opposite = 15

adjacent = 8

Hypotenuse = 17

sin β = opposite / hypotenuse

substituting the values gives

sin β = 15 / 17

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The sample standard deviation for the sample size of 400 is equal to 4 (with no decimals).

Sample size = 400

Standard error of the mean = 0. 2

The sample standard deviation, additional information beyond the mean anxiety score and the standard error of the mean.

Specifically, the size of the random sample, the degrees of freedom, and either the confidence level or the critical t-value.

Assuming that the sample size is large enough  n > 30 and the population standard deviation is unknown,

Use the following formula to estimate the standard deviation of the population from the standard error of the mean,

s = SEM × √(n)

where s is the sample standard deviation,

SEM is the standard error of the mean,

and n is the sample size.

Substituting the given values, we get,

s = 0.2 × √(400)

  = 0.2 × 20

  = 4

Therefore, the sample standard deviation is 4 (with no decimals).

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Step-by-step explanation:

→ 70 = 19 - 3x

→ - 19 + 70 = -3x

→ 51 = -3x

→ -3x = -51

→ x = -51/3 = -17

→ x = -17

therefore, value of x is -17.

hope this answer helps you dear!

Answer:

\(\boxed{\bf x=-17}\)

Step-by-step explanation:

\(\bf 70=19-3x\)

\(\bf 19-3x=70\)

\(\boxed{\bf Subtract \: 19\: from\: both\: sides:}\)

\(\boxed{\bf Divide \: both\:sides\: by -3:}\)

Aligned Dim constraint option allows you to create a dimensional constraint that has extension lines perpendicular to an angled surface.

In CAD software, a constraint is a restriction or limitation placed on geometric properties by a designer or engineer: An entity in a design model that keeps its structure when the model is altered is referred to as type 203. In addition to relative length and angle, these properties may also include size, shift, and displacement.

The term "plural form constraints" refers to the delineations of geometrical characteristics between two or more entities or solid modelling bodies; these delimiters are definitive for properties of hypothetical physical position and motion, or displacement in parametric design. However, a CAD programme vendor may use different terminology than another.

CAD software for solid modelling, computer-aided architectural design (including building information modelling), computer-aided engineering, assembly modelling, and other CAD subfields frequently uses constraints.

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Answer:

To find the number of word problems on Mylie's math test, we need to multiply the total number of problems by the percentage that were word problems:

Number of word problems = 0.15 x 40

Number of word problems = 6

Therefore, there were 6 word problems on Mylie's math test.