2. Find all values of z for which the following equations hold. 1 (a) e* = -16.

Answer:

umm 9/2

Step-by-step explanation:

The equation for the line of reflection is x = 6

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

For example, 3x + 5 = 15.

Given that, a graph, we need to find the equation of the reflection of the polygon graphed,

We can see, all the vertices on the polygon are being mirrored across the line x = 6.

So, we can say the line of reflection is x = 6.

Hence, the equation for the line of reflection is x = 6

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For the functions f(x) = 2x3- 3 and g(x) = 4x + 4, (gºf)(0) = g(f(0)) = g(-3) = -8.

To find (fog)(0), we need to evaluate the composition of functions f and g at x = 0.

First, we find g(0):

g(0) = 4(0) + 4 = 4.

Next, we substitute g(0) into f:

f(g(0)) = f(4).

Now, we find f(4):

f(4) = 2(4)^3 - 3 = 2(64) - 3 = 128 - 3 = 125.

Therefore, (fog)(0) = f(g(0)) = f(4) = 125.

To find (gºf)(0), we need to evaluate the composition of functions g and f at x = 0.

First, we find f(0):

f(0) = 2(0)^3 - 3 = -3.

Next, we substitute f(0) into g:

g(f(0)) = g(-3).

Now, we find g(-3):

g(-3) = 4(-3) + 4 = -12 + 4 = -8.

Therefore, (gºf)(0) = g(f(0)) = g(-3) = -8.

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Answer:

Step-by-step explanation:

"quaratic" should be "quadratic."

The coefficients of this quadratic are 4, 2 and -1.  Thus, the discriminant is

b^2 - 4ac, or here, 4 - 4(4)(-1) = 20

Since the discriminant is positive, our quadratic has two real, different roots.

                                -2 ± (√4)(√5)

The roots are:  x = ---------------------

                                       2(4)

                                    -1 ± √5

This reduces to   x = ---------------

                                           8

(a) To find the analyticity region of the function f(z) = √(z² - 2), we need to determine where the function is well-defined. The square root function is defined for non-negative real numbers. In this case, the expression inside the square root, z² - 2, should be greater than or equal to zero.

z² - 2 ≥ 0

Solving the inequality:

z² ≥ 2

Taking the square root of both sides, while considering both the positive and negative roots:

z ≥ √2 or z ≤ -√2

Therefore, the analyticity region of the function f(z) = √(z² - 2) is all values of z greater than or equal to √2 or less than or equal to -√2.

(b) To find the derivative of the function f(z) = Sen(log z²), we can use the chain rule.

Let's break it down:

f(z) = Sen(log z²)

First, find the derivative of the inner function log z²:

d/dz (log z²) = 1 / (z²) * 2z = 2 / z

Now, find the derivative of Sen(u), where u = log z²:

d/dz (Sen(u)) = cos(u) * du/dz

Substituting the value of u:

d/dz (Sen(log z²)) = cos(log z²) * (2 / z)

Therefore, the derivative of the function f(z) = Sen(log z²) is cos(log z²) * (2 / z).

(c) To find the Taylor series around zero for the function f(z) = 4 + 2z², we need to find the derivatives of the function at zero and use them to construct the series.

Let's find the derivatives:

f(z) = 4 + 2z²

f'(z) = 0 + 4z = 4z

f''(z) = 0 + 4 = 4

f'''(z) = 0

All higher-order derivatives will also be zero.

Now, let's construct the Taylor series around zero using these derivatives:

f(z) = f(0) + f'(0)z + (f''(0)/2!)z² + (f'''(0)/3!)z³ + ...

Since the higher-order derivatives are zero, the series simplifies to:

f(z) = 4 + 0z + (4/2!)z² + 0z³ + ...

Simplifying further:

f(z) = 4 + 2z²

The Taylor series around zero for the function f(z) = 4 + 2z² is simply the original function itself.

To compute the convergence radius of the series, we can observe that the function f(z) = 4 + 2z² is a polynomial, and all polynomials have an infinite convergence radius. Therefore, the convergence radius for this series is infinite.

In conclusion, to Find the analyticity region of the function and find it's derivate of the following functions the Taylor series around zero for the function f(z) = 4 + 2z² is 4 + 2z², and its convergence radius is infinite.

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Answer:

x=12 and y=6

Step-by-step explanation:

because the angle are same and equal

The value of x is 12 and y is 6.

Similar figures mean when two figures are of the same shape but are of different sizes. In other words, two figures are called similar when they both have a lot of the same properties but still may not be identical. For example, the sun and moon might appear the same size but they are actually different in size. However, we are similar figures since both the figures are circular in nature.

Two triangles will be similar if the angles are equal (corresponding angles) and sides are in the same ratio or proportion(corresponding sides). Similar triangles may have different individual lengths of the sides of triangles but their angles must be equal and their corresponding ratio of the length of the sides or scale factor must be the same. If two triangles are similar that means,

As per the situation we have given that

The similarity in figures show that the angles are equal.

Also, the corresponding sides are also equal.

Hence, the value of x is 12 and y is 6.

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Answer:

The answer for (a) is at the picture

(b) The vertex is (-2,7)

(c) Yes the parabola open downward

(d) -(x+2)^2+7 the turning point is at (-2,7) since it is where the group curves

Step-by-step explanation:

The variance is the average squared deviation of each value from the mean. It calculates how far each value in a group is from the mean, and then it squares the result of each of those calculations. Finally, it averages the sum of the squares to produce a figure that represents how varied the data is from the mean.

The variance formula is as follows:

Var(X) = (Σ (Xi - μ)^2) / (n - 1)

Where, X is a random variable representing the group data, μ is the mean of the group data, Xi is each value in the group data, Σ is the sum of all Xi values, and n is the number of values in the group data.

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According to given information, the probability that a contract will last between 15 and 35 weeks is `0.905`.

To compute the probability that a contract will last between 15 and 35 weeks, we must utilize the standard deviation for the normal distribution.

To solve for the probability of a normal distribution, we use the formula `z = (x - μ) / σ`, where `x` is the value we are looking for, `μ` is the mean, and `σ` is the standard deviation.

We can compute the standard deviation using the variance, which is the square of the standard deviation, which is `σ^2`.

To begin, we first find the standard deviation.  `σ = sqrt(36) = 6`.

Next, we will calculate the `z-scores` for 15 and 35.

[tex]`z1 = (15 - 25) / 6 = -10 / 6 = -1.67`[/tex]

and [tex]`z2 = (35 - 25) / 6 = 10 / 6 = 1.67`[/tex].

Now we can use the `Z-table` to find the probabilities that correspond to `z1` and `z2`. We can see that the probability of `z1` is `0.0475` and the probability of `z2` is `0.9525`.

Finally, to obtain the probability that a contract will last between 15 and 35 weeks, we must subtract the probabilities corresponding to `z1` from `z2`.

[tex]`P(15 ≤ X ≤ 35) = P(Z ≤ 1.67) − P(Z ≤ −1.67) = 0.9525 − 0.0475 = 0.905`[/tex].

Therefore, the probability that a contract will last between 15 and 35 weeks is `0.905`.

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The expression [tex]log9(12x^4) - logg(5x^?)[/tex] can be simplified by combining the logarithms into a single logarithm with a coefficient of 1.

To simplify the expression log9(12x^4) - logg(5x^?), we can apply the logarithmic property of subtraction, which states that loga(b) - loga(c) = loga(b/c). Using this property, we can rewrite the expression as a single logarithm.

First, let's simplify the expression log9(12x^4). Since the base of the logarithm is 9, we can rewrite it as log(12x^4) / log(9).

Next, let's simplify the expression logg(5x^?). Since the base of the logarithm is g, we can rewrite it as log(5x^?) / log(g).

Combining these two expressions, we have:

log(12x^4) / log(9) - log(5x^?) / log(g).

To combine these logarithms into a single logarithm, we need a common base. Let's use the base 10. Applying the logarithmic property of division, we can rewrite the expression as:

log(12x^4) / log(9) - log(5x^?) / log(g) = (log(12x^4) - log(5x^?)) / log(9g).

Finally, we simplify the numerator by applying the logarithmic property of subtraction:

[tex]log(12x^4) - log(5x^?) = log((12x^4) / (5x^?)).[/tex]

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Therefore, we conclude that there is evidence to support the claim that the return rate is less than 20%. Hence, option D03 Hp02 OLM is the correct answer.

According to the given problem, an internet survey was e-mailed to 6960 subjects randomly selected from an online group involved with cars. The return rate of the survey was 1305.Use the Pusle method and use the romal distribution as an approximation to the binomial distribution to test the claim that the return rate is less than 20% at 0.01 significance level. We are to set the null and alternative hypotheses. The null hypothesis is the claim that we are testing against. The alternative hypothesis is what we conclude when we reject the null hypothesis.We can state the null hypothesis as;H0: p >= 0.20The alternative hypothesis is;Ha: p < 0.20Where p is the population proportion.Now, we calculate the test statistic using the Pusle method, which is given by;P = (1305/6960) = 0.18804q = 1 - p = 0.81196n = 6960The standard deviation can be calculated using the formula;σ = sqrt (n * p * q)σ = sqrt (6960 * 0.18804 * 0.81196)σ = 23.43Now, we calculate the z-score using the formula;z = (x - μ) / σz = (0.20 - 0.18804) / 0.00349z = 3.43Finally, we can calculate the p-value using the z-score table or calculator.The critical value of z at the 0.01 significance level is 2.33. Since our calculated z-score (3.43) is greater than the critical value (2.33), we reject the null hypothesis.Therefore, we conclude that there is evidence to support the claim that the return rate is less than 20%. Hence, option D03 Hp02 OLM is the correct answer.

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Answer:

Step-by-step explanation:

Answer:

A,C and D

Step-by-step explanation:

A: 3x2=6

    3x4X=12X

     6+12X

C: 5x1=5

    5x2X=10X

    5+10X+1+2X

   6+12X

D: 7x1=7

    7x2X=14X

     7+14X-2X-1

     6+14X-2X

     6+12X

Answer:

The answer is 126 square inches.

Step-by-step expalation

The maximum altitude attained by the projectile is 720 meters.  The maximum altitude was achieved by the projectile when time expressed in seconds and rounded off to four significant figures was equal to 10.89 seconds.

The formula for the altitude y of the projectile at the moment of time t is given by the formula: y(t) = [(v_0 / p)g][1 - exp(-pt / m)] + (m / p)g(t / p) where v_0 is the initial velocity of the projectile, p is the empirical constant, g is the acceleration due to gravity, m is the mass of the projectile, and t is the time.

The formula for the velocity of the projectile at the moment of time t is given by the formula: v(t) = (v_0 / p)exp(-pt / m) + (m / p)g.

Any object launched into space with only gravity acting on it is referred to as a projectile. Gravity is the main force affecting a projectile. This doesn't imply that other forces don't affect it; it merely means that their impact is far smaller than that of gravity. A projectile's trajectory is its route after being fired. A projectile is something that is launched or batted, as a baseball.

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Answer:

C

Step-by-step explanation:

Plug in the points to see which equation is true

Answer:

1. (1/4 x 5/4 x 5/4) = 25/64

2. (2/4 x 2/4 x 6/4) = 3/8

3. (1/4 x 1/4 x 4/2) 1/8

Step-by-step explanation:

Thank me later.

Answer:

B is the answer

because if you observe very well the angles look similar in a way when you turn it the other way round ...

Answer:

15 i don't think it is right

P(BA) is the conditional probability of event B given that event A has occurred approximately 0.04

P(BA), we need to know the individual probabilities of events A and B, as well as the probability of the intersection of events A and B.

P(B AND A) = 0.04

P(A) = 0.18

We can use the formula for the intersection of two events:

P(BA) = P(B AND A) = P(A) × P(B | A)

P(B | A) is the conditional probability of event B given that event A has occurred.

To calculate P(B | A), we can rearrange the formula as:

P(B | A) = P(B AND A) / P(A)

Putting in the given values:

P(B | A) = 0.04 / 0.18 ≈ 0.2222

Now we can calculate P(BA) using the formula:

P(BA) = P(A) × P(B | A)

= 0.18 × 0.2222

≈ 0.04

Therefore, P(BA) is approximately 0.04.

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There are 35 unique approaches to choosing 4 individuals for a board.

Given a gathering of understudies: G = {Allen, Brenda, Chad, Dorothy, Eric, Frances, Gale}, the undertaking is to count the quantity of various approaches to picking 4 individuals for a panel with the suspicion that nobody can hold more than one office and that every individual is to stand firm on an alternate foothold on the council. There are two primary sorts of mix: With and without repetition, the case here is without repetition, as shown by the formulae "C(n, r)."

The following formula calculates the number of Probability selection options for r items from a set of n items: C(n, r) = n!/(n - r)!r!Where n is the quantity of things in the set, and r is the quantity of things to be chosen from the set. Applying the recipe to the above issue: The group consists of seven students, and we want to select four for the committee. C(7, 4) = 7!/(7 - 4)!4! = (7 × 6 × 5 × 4)/(3 × 2 × 1 × 4) = 35. Answer: 35. Subsequently, there are 35 unique approaches to choosing 4 individuals for a board.

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Answer:

= 1.95

Step-by-step explanation:

8 − 5.5 + 5.5  = 10.1 + 5.5

8 = 15.6

8 = 15.6

8         8

first 5.5 means 55/10 and 10.1 means101/10 when we change them to fraction.

8m=101/10+55/10=156/10

divide 8 by 8 and we get m

and again divide 156/10 for 8

m=1.95

Answer:

JK < KI < IJ

Step-by-step explanation:

The length of the side of a rectangle corresponds with the size of the angle opposite it.

m<K = 180 - (50 + 44) (sum of triangle)

m<K = 86°

IJ is opposite m<K = 86°

JK is opposite to m<1 = 44°

KI is opposite to m<J = 50°

The bigger the measure of an angle, the larger the side opposite it.

Therefore, form least to greatest, the side lengths of the triangle cam be ordered as follows:

JK < KI < IJ

The probability of false negative packets, which represents the worst-case scenario of a successful attack, can be calculated using the sensitivity and prevalence of malware traffic.

The sensitivity of the IDS, which is the probability of correctly identifying packets with malware, is given as 99%. This means that out of all the packets containing malware, the IDS will correctly identify 99% of them as positive.

The prevalence of malware traffic in the high attack application environment is stated as 40%, meaning that 40% of the traffic contains malware.

To calculate the probability of false negative packets (P(false negative)), we need to determine the probability of the IDS incorrectly identifying packets without malware as negative. Since the specificity of the IDS is not provided, we can assume it to be 100% - 95% = 5%, as specificity and false positive are complements.

P(false negative) = 1 - sensitivity = 1 - 0.99 = 0.01

Therefore, the probability of false negative packets, which represents the worst-case scenario and is equivalent to the probability for a successful attack, is 0.01 or 1%.

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Answer:

2 hours

Step-by-step explanation:

Answer:

the answer is 1-1, 1-2, 1-3, 1-4

Step-by-step explanation:

Answer:

The given figure is a cuboid

it's volume = length × breadth × height

so the answer should be option (c) 8 × 2 ×3

Answer:

B

Step-by-step explanation:

How did it go from "rope" to "ribbon", therefore, the statement is incorrect. This is a man-made equation that clearly has a mistake. If it was to say, "Will Scott have enough rope?" then the answer will be "YES"

Answer:

the answer is NO

Step-by-step explanation:

0.89 x 889 = 8.01

Therefore, he is 1cm short

Answer:

option 1

Step-by-step explanation:

if it goes up 6 then it means plus 6

Answer:

Wait So...

Step-by-step explanation:

What Kind of Math is this?