Factor the trinomial.
X2 + 12x + 20

Answer:

20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Given that a segment in the complex plane has a midpoint at -1+i. If the segment has an endpoint at -5-7i, we need to find the other endpoint.

To find the other endpoint, we can use the midpoint formula which states that the midpoint of a segment is the average of the endpoints of the segment. Let the other endpoint be represented by the complex number z. Then, we have:-1 + i = (-5 - 7i + z)/2Multiplying both sides by 2, we get:-2 + 2i = -5 - 7i + zSimplifying the equation by moving the known values to the left-hand side, we have:z = -2 + 2i + 5 + 7iCombining like terms, we get:z = 3 + 9iTherefore, the other endpoint is 3 + 9i. Thus, the correct option is (D) 3 + 9i.

To find the other endpoint of the segment in the complex plane, we can use the midpoint formula. The midpoint formula states that the midpoint between two complex numbers, z₁ and z₂, is given by:

Midpoint = (z₁ + z₂) / 2

We are given that the midpoint is -1 + i and one endpoint is -5 - 7i. Let's denote the other endpoint as z₂. Using the midpoint formula, we can write:

-1 + i = (-5 - 7i + z₂) / 2

To isolate z₂, we can multiply both sides of the equation by 2:

2(-1 + i) = -5 - 7i + z₂

To simplifying, we have:

-2 + 2i = -5 - 7i + z₂

Now, let's isolate z₂ by subtracting -5 - 7i from both sides:

-2 + 2i + 5 + 7i = z₂

Combining like terms, we get: 3 + 9i = z₂

Therefore, the other endpoint of the segment in the complex plane is given by -9 - 15i.

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The given information is that in the complex plane, a segment has its midpoint at -1+i. The segment has an endpoint at -5-7i. It is asked to find the other endpoint of the segment.

Thus, the other endpoint of the segment is -9 + 9i.

The midpoint of the segment is given as follows:

Midpoint = (endpoint1 + endpoint2) / 2

-1+i = (-5-7i + endpoint2) / 2

Multiplying both sides of above equation by 2, we get:

-2 + 2i = -5 - 7i + endpoint2

endpoint2 = -2 + 2i + 5 + 7i

endpoint2 = -9 + 9i

Therefore, the other endpoint of the segment is -9 + 9i.

Thus, the answer for this question is -9+9i.

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the answer is A because 1 is the same as 78

Answer: the answer is 66

Step-by-step explanation:

Answer:

dowload the link up the other one answer

Answer:

23 [tex]\frac{1}{24}[/tex]

Step-by-step explanation:

you subtract 82 [tex]\frac{2}{3}[/tex] by 59 [tex]\frac{5}{8}[/tex] and you'll get the answer

Answer:

First one:     -12 < -6

                    -6 > -12

Second one:

                     -8 > -10

                     -10 < -8

Step-by-step explanation:

Well you just compare them with greater then or less then signs.

Answer:

See solutions below

Step-by-step explanation:

Match the range of the function f(x)=x^2+2x-1 to its domain

Domains of the function are the input values x i.e 2, -2, 3 and 3

corresponding f(x) for each values are the range

when x = 2

f(2)=2^2+2(2)-1

f(2) = 4 + 4 - 1

f(2) = 7

when x = -2

f(-2)=(-2)^2+2(-2)-1

f(-2) = 4 - 4 - 1

f(-2) = -1

when x = 3

f(3)=3^2+2(3)-1

f(3) = 9 + 6 - 1

f(3) = 14

when x = -3

f(-3)=(-3)^2+2(-3)-1

f(-3) = 9 -6 - 1

f(-3) = 2

Answer:

a, d, e

Step-by-step explanation:

on usatestprep

The features of the function are given as follows:

Horizontal asymptote: y = 5.

Vertical asymptote: x = 2.

x-intercept: No x-intercept.

y-intercept: (0,-5).

Hole: No holes.

The horizontal asymptote is the limit of f(x) as x goes to infinity. To obtain this limit, we consider only the terms with the highest exponent of the numerator and of the denominator, hence:

here, we have,

g(x) = -5x/x -> y = 5 is the horizontal asymptote.

The vertical asymptote is the value of x for which the function is not defined, hence it is the zero of the denominator, thus:

x - 2 = 0 -> x = 2.

The x-intercept is the point (x,0), in which x is found when y = 0, hence:

-5x + 10 = 0

-5x = -10

5x = 10

x = 2.

However, the function is not defined at x = 2, meaning that it has no x-intercept.

The y-intercept is the value of y when x = 0, hence:

y = 10/-2 = -5.

The coordinates are (0,-5).

The entire function can be simplified as follows:

(-5x + 10)/(x - 2) = [-5(x - 2)]/(x - 2) = -5.

Meaning that the function has no holes.

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complete question:

Determine each feature of the graph of the given function.

f(x) = -5+10

2

Horizontal Asymptote: y =

Vertical Asymptote: x =

x-Intercept:

y-Intercept: (0,

Hole: (

,0)

No horizontal asymptote

No vertical asymptote

No x-intercept

No y-intercept

No hole

Answer:

97/100

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.

Probability that the DVRs is not faulty = total number of faulty videos / total number of videos

total number of faulty videos = 100 - 3 = 97

total number of videos = 100

97/100

Answer:edmentum

Step-by-step explanation:

The correct answer is option B) 2.4 ml. The 2.4 milliliters would be needed to be drawn up for one dose.

To calculate the amount of Dexamethasone 4 mg/5 mL needed for a 12 mg dose, we can use a simple proportion:

4 mg / 5 mL = 12 mg / x

Cross-multiplying, we get:

4 mg * x = 60 mg

x = 60 mg / 4 mg/mL

x = 15 mL

Therefore, to administer a 12 mg dose of Dexamethasone using the available drug concentration of Dexamethasone 4 mg/5 mL, we need to draw up only 2.4 mL.

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The area of the surface is 2π(3√3 - 1). The surface area integral is given by A = ∬D √(1 + (dz/dx)² + (dz/dy)²) dA.

To find the area of the surface that lies within the cylinder x² + y² = 64 and is defined by z = xy, we can use the surface area integral.

The surface area integral is given by:

A = ∬D √(1 + (dz/dx)² + (dz/dy)²) dA

where D represents the region on the xy-plane that corresponds to the surface.

In this case, the region D is the circle with radius 8 (which is obtained by solving x² + y² = 64). To evaluate the integral, we need to determine the partial derivatives dz/dx and dz/dy.

Taking the partial derivative of z with respect to x:

∂z/∂x = y

Taking the partial derivative of z with respect to y:

∂z/∂y = x

Substituting these values into the surface area integral formula:

A = ∬D √(1 + y² + x²) dA

Since D is a circle with radius 8, we can express the integral in polar coordinates. The limits of integration for r are 0 to 8, and the limits of integration for θ are 0 to 2π.

A = ∫₀²π ∫₀⁸ √(1 + r²sin²θ + r²cos²θ) r dr dθ

Simplifying the expression under the square root:

A = ∫₀²π ∫₀⁸ √(1 + r²) r dr dθ

Now we can evaluate the integral:

A = ∫₀²π [(1/3)(1 + r²)^(3/2)]⁸₀ dθ

A = ∫₀²π (1/3)(9√3 - 1) dθ

A = (1/3)(9√3 - 1) ∫₀²π dθ

A = (1/3)(9√3 - 1)(2π - 0)

A = 2π(3√3 - 1)

The area of the surface is 2π(3√3 - 1).

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Answer:

I think the answer could be y=3 or y=2

it could be something else tho im sorry

Answer:

y=2

Step-by-step explanation:

Answer:

x intercept = (7/3, 0)

y intercept = (0, -7/6)

slope = 1/2

Step-by-step explanation:

To determine whether there is a significant difference in the pattern of rankings for the 26 American and 41 European male tennis players included in the top-100 seeded players on the pro-tennis tour, a statistical analysis can be conducted.

Statistical analysis would include a two-sample t-test or an ANOVA test to compare the means of the two groups (American and European players). If the p-value obtained is less than the level of significance (usually 0.05), then there is a significant difference between the pattern of rankings of the two groups.The rankings of players will also be taken into account. If there is a significant difference between the two groups, then further analysis can be done to determine the cause of the difference. Possible factors that could contribute to the difference include training regimes, genetics, playing surfaces, and mental preparation, among others.

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There is no significant difference in the pattern of rankings between these two groups of players.

To determine whether there is a significant difference in the pattern of rankings for the 26 American and 41 European male tennis players included in the top-100 seeded players on the pro-tennis tour, we need to perform a statistical analysis using appropriate tests such as the t-test or ANOVA (Analysis of Variance).

The null hypothesis for this test would be that there is no significant difference in the pattern of rankings between the American and European male tennis players included in the top-100 seeded players on the pro-tennis tour.

The alternative hypothesis would be that there is a significant difference in the pattern of rankings between these two groups of players.

If the p-value obtained from the test is less than the chosen level of significance (usually 0.05), then we can reject the null hypothesis and conclude that there is a significant difference in the pattern of rankings for the American and European male tennis players included in the top-100 seeded players on the pro-tennis tour.

On the other hand, if the p-value is greater than the level of significance, we fail to reject the null hypothesis and conclude that there is no significant difference in the pattern of rankings between these two groups of players.

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Answer:

$50, 100

Step-by-step explanation:

The probability that he weighs more than 81 kg given that he is above the average weight is 0.4532.

(a) Probability that male is heavier than 81 kg can be found using the z-score formula;

z = (x - μ) / σ = (81 - 75) / 8 = 0.75P(z > 0.75) = 1 - P(z < 0.75)

Now referring to z-tables, we find that P(z < 0.75) = 0.7734

Therefore, P(z > 0.75) = 1 - P(z < 0.75) = 1 - 0.7734 = 0.2266

Thus, the probability that the male is heavier than 81 kg is 0.2266.

(b) Let X be the weight of female and Y be the weight of male. We know that X ~ N(52, 6) and Y ~ N(75, 8)

Let Z = X - Y then, Z ~ N(52 - 75, sqrt(6^2 + 8^2)) = N(-23, 10)

Now, we need to find the probability that X > Y. i.e P(X - Y > 0)P(X - Y > 0) can be written as P(Z > -23/10)

Now, referring to the z-tables, we can find that P(Z > -2.3) = 0.9893

Therefore, P(X > Y) = P(X - Y > 0) = 0.9893.

(c) Given that male weight is above average weight, we need to find the probability that he weighs more than 81 kg i.e. P(Y > 81 | Y > 75)

This is conditional probability and can be found using Bayes' Theorem:

P(Y > 81 | Y > 75) = P(Y > 75 | Y > 81) * P(Y > 81) / P(Y > 75)

Now, P(Y > 75 | Y > 81) = 1, P(Y > 81) can be found as:

P(Y > 81) = P(Z > (81 - 75) / 8) = P(Z > 0.75) = 1 - P(Z < 0.75) = 1 - 0.7734 = 0.2266

Also,P(Y > 75) = P(Z > 0) = 0.5Therefore,P(Y > 81 | Y > 75) = 1 * 0.2266 / 0.5 = 0.4532

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The given information is that weights of females are normally distributed with mean 52kg and standard deviation 6kg. Weights of males are normally distributed with mean 75kg and standard deviation 8kg. One male and one female are chosen at random.

The probability that the male is heavier than 81kg is 0.2266.

The probability that the female is heavier than the male is 0.0107.

If the male is above average weight(75kg),then the probability that he is heavy than 81kg is 0.2266.

a) The weight of males is normally distributed with a mean of 75kg and a standard deviation of 8kg. The probability that the male is heavier than 81kg can be calculated as follows: z = (81 - 75) / 8

= 0.75P(Z > 0.75)

= 0.2266

Therefore, the probability that the male is heavier than 81 kg is 0.2266.

b) If X and Y are independent Normal random variables, then, for every ab e R, aX + bY has a Normal distribution. The weights of males and females are independent, normally distributed random variables with means of 75kg and 52kg and standard deviations of 8kg and 6kg respectively. Therefore, the difference in weights of the male and the female is a normally distributed random variable with mean μ = 75 - 52 = 23kg and standard deviation σ = √(8² + 6²) = √(100) = 10kg. Let Z be a standard normal variable. The probability that the female is heavier than the male can be calculated as follows:

P(X < Y) = P(X - Y < 0) = P[(X - Y - μ)/σ < (-23)/10] = P(Z < -2.3) = 0.0107

Therefore, the probability that the female is heavier than the male is 0.0107.

c) If the male is above average weight, then we can assume that he weighs 75 kg. The probability that he is heavier than 81 kg can be calculated as follows:

z = (81 - 75) / 8 = 0.75P(Z > 0.75) = 0.2266

Therefore, the probability that the male is above average weight and heavier than 81 kg is 0.2266.

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Answer without Explanation:

B

Answer:

b

Step-by-step explanation:

Answer:

i am pretty sure the answer is d

Step-by-step explanation:

let me know if this is wrong

The required number of arrangements when all the three subject matters can be arranged anyhow is given by:

9! = 362880

i.  The required number of arrangements when French books are in the first position is given by:

3! * 2! * 4! = 1728

ii. the required number of arrangements is given by:

3! * 4! * 2! = 3456

iii.  the required number of arrangements when all the three subject matters can be arranged anyhow is given by:

9! = 362880

Given that there are e = 3

Mathematics books,

f = 4 French books, and

p = 2 Physics books to be arranged on a shelf.

The problem requires to calculate the number of different arrangements are possible in the following ways:

i. If the books in each particular subject must all stand together only the French books must be in the first position on the shelf whilst the others

ii. Must also always be together but not in the first position.

All the three subject matters can be arranged anyhow.

i. If the books in each particular subject must all stand together only the French books must be in the first position on the shelf whilst the others:

If the French books are always in the first position of the shelf, then the remaining 8 books can be arranged in 8! ways as they all have different titles. But there are 3! ways to arrange the mathematics books and 2! ways to arrange the physics books.

Therefore, the required number of arrangements when French books are in the first position is given by:

3! * 2! * 4! = 1728

ii. Must also always be together but not in the first position

If all the books of the same subject must be kept together, then there are 3! ways to arrange the mathematics books, 4! ways to arrange the French books, and 2! ways to arrange the physics books.

Therefore, the required number of arrangements is given by:

3! * 4! * 2! = 3456

iii. All the three subject matters can be arranged anyhow.

If all the three subject matters can be arranged anyhow, then the total number of books to be arranged is 9.

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Hello!

This is a problem about interest rates.

Since we are not given the "[tex]n[/tex]" value, how many times this interest applies per time period, we can assume that we are most likely dealing with simple interest with an annual interest rate.

The simple interest formula is as follows,

[tex]A=P(1+rt)[/tex]

Where [tex]A[/tex] is the total amount, [tex]P[/tex] is the initial principal balance, [tex]r[/tex] is the annual interest rate, and [tex]t[/tex] is time in years.

Since we are given all this information, we can just solve after converting the interest rate of 4.9% to a decimal, which is 0.049.

[tex]A=11500(1+0.049*14)[/tex]

[tex]A=11500(1.686)[/tex]

[tex]A=19389[/tex]

So at the end of the 14th year, Shanna will have $19,389 in her account.

Hope this helps!

Answer:

a few weeks

Step-by-step explanation:

A labor plan was created for truck unloading and box storage during an 8-hour shift, with the productivity measured in boxes processed per worker per hour.

To fully answer the question, it is necessary to provide the details of the labor plan, including the specific productivity rates for each task and the number of workers assigned to each task. Without this information, it is not possible to provide a comprehensive explanation. However, the labor plan aims to optimize the efficiency of truck unloading and box storage within the given 8-hour shift. It likely involves assigning workers to different tasks based on their productivity levels and the estimated time required for each task.

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Dr. Ellison is wrong.

To determine if the equation y = -3x + 7 has a solution of (2, 13), we can substitute the values of x and y into the equation and check if it holds true.

Substituting x = 2 and y = 13 into the equation:

13 = -3(2) + 7

13 = -6 + 7

13 = 1

The equation does not hold true since 13 is not equal to 1.

Therefore, (2, 13) is not a solution to the equation y = -3x + 7.

Hence, Dr. Ellison is incorrect in stating that (2, 13) is a solution to the equation.

An equation is a mathematical statement that indicates that two expressions are equal. It consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, etc. Equations are used to represent relationships between quantities and to solve problems in various branches of mathematics and science.

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A basis for W is {(0,-6,1,0), (0,9,0,1)}.

Matrix A is a singular matrix when k = 1.

To find the basis for the subspace W and determine the value of k for matrix A, let's go through each part separately.

Part 1: Basis for W

The subspace W is defined by the equation x – 3y + 92 = 0. In order to find a basis for W, we need to find two linearly independent vectors that satisfy this equation.

From the given options, the vectors {(0,6.1,0)} and {(0,-9,0,1)} do not satisfy the equation x – 3y + 92 = 0.

However, the vectors {(0,-6,1,0)} and {(0,9,0,1)} satisfy the equation x – 3y + 92 = 0. Therefore, a basis for W is {(0,-6,1,0), (0,9,0,1)}.

Part 2: Singular Matrix A

Matrix A = [k 2 10 7 1].

To determine if A is a singular matrix, we need to check if its determinant is equal to zero.

Calculating the determinant of A:

det(A) = k(21 - 710) - 2(27 - 101) + 10(27 - 101)

= k(-68) - 2(-14) + 10(4)

= -68k + 28 + 40

= -68k + 68

A is a singular matrix if det(A) = -68k + 68 = 0.

Solving the equation -68k + 68 = 0, we find k = 1.

Therefore, A is a singular matrix when k = 1.

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Complete question :

Determine the probability that two pears are selected The probability is(Simplity your answer.)

d) Determine the probability that a card containing a PEAR and then a card containing a question mark are selected

Answer:

(QQ, QP, QM, QP, PP, MP, QM, PM, MM) ;

Step-by-step explanation:

Given :

Marking on card :

Question mark = Q

Pear = P

Moon = M

Selecting two cards with replacement :

Sample space :

_____ Q ____ P _____ M

Q ___QQ ___QP ___ QM

P ___QP ____PP ___ MP

M__ QM ____PM ___MM

(QQ, QP, QM, QP, PP, MP, QM, PM, MM) ;

1/9 ;

2/9

P(selecting 2 pears) = (PP)

P(p) = required outcome / Total possible outcomes = 1 / 9

Card containing a pear and then a question mark ;

(PQ or QP).

P(p) = 1/3 ; P(Q) = 1/3

P(PQ) + P(QP)

(1/3 * 1/3) + (/3 * 1/3)

1/9 + 1/9

(1 + 1) / 9

= 2/9

Answer:

x=y−5z

Step-by-step explanation:

y=5z+x

Step 1: Flip the equation.

x+5z=y

Step 2: Add -5z to both sides.

x+5z+−5z=y+−5z

x=y−5z

Answer:

x=y−5z

plz mark me as brainliest

Answer:

x = ay - 5z

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.