The trinomial 9x2 + 6x + 1 can be factored as

Answer:

?

Step-by-step explanation:

The word "and" in probability implies that we use the Multiplication rule.

The correct option is Option D.

The likelihood of both events A and B occurring, in accordance with the probability multiplication rule, is equal to the product of the probability of B occurring and the conditional probability of event A occurring given that event B occurs.

The relationship between two events is explained by the probability multiplication rule.

Set A∩B represents the events in which both events A and B have occurred for two events A and B related to a sample space S. Consequently, (A∩B) indicates that occurrences A and B happened at the same time. You can write the event A∩B as AB. Using the characteristics of conditional probability, the likelihood of event AB is calculated.

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\(\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}\)

Let's solve ~

\(\qquad \sf  \dashrightarrow \: log_{4}(39.2) \)

\(\qquad \sf  \dashrightarrow \: log_{4}( {2}^{3} \times {7}^{2} \times 10 {}^{ - 1} ) \)

\(\qquad \sf  \dashrightarrow \: log_{4}( {2}^{3} ) + log_{4}( {7}^{2} ) + log_{4}(10 {}^{ - 1} ) \)

\(\qquad \sf  \dashrightarrow \: log_{ {2}^{2} }( {2}^{3} ) + log_{ {2}^{2} }( {7}^{2} ) + log_{ {2}^{2} }(10 {}^{ - 1} ) \)

\(\qquad \sf  \dashrightarrow \: \frac{3}{2} log_{2}(2) + \frac{2}{2} log_{2}(7) - \frac{1}{2} log_{2}(10) \)

\(\qquad \sf  \dashrightarrow \: \frac{3}{2} + a - \frac{b}{2} \)

That's the required result ~

also you can take it's LCM and write it as :

\(\qquad \sf  \dashrightarrow \: \dfrac{2a - b + 3}{2} \)

Answer:

Step-by-step explanation:

what i do not undersante

The first five terms of the sequence are  2 , 0 , -2 , -4 , -6   .

In the question ,

it is given that ,

the first term of sequence is (a) = 2 and

the common ratio is (d) = -2

the general term of the arithmetic sequence is given as

An = a + (n - 1)d

the first term is 2 ,

For second term we put n = 2 ,

A2 = 2 + (2-1)(-2)

= 2 - 2

= 0

For third term , we put n = 3 ,

A3 = 2 + (3-1)(-2)

= 2 + 2*(-2)

= 2 - 4

= -2

For fourth term , we put n = 4 ,

A4 = 2 + (4-1)(-2)

= 2 + 3(-2)

= 2 - 6

= -4

For Fifth term , we put n = 5 ,

A5 = 2 + (5 - 1)(-2)

= 2 + 4(-2)

= 2 - 8

= -6

Therefore , The first five terms of the sequence are  2 , 0 , -2 , -4 , -6   .

The given question is incomplete , the complete question is

If the first term of the sequence is 2 and the common ratio is -2 , write the first five terms of the sequence .

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The result of the given expression is 2.5.

We are given a mathematical expression. Let the expression be denoted by the variable "E". The expression is given below.

E = (45 / 6) % 5

We need to simplify the expression and find its value. First of all, we will solve the brackets.

E = (7.5) % 5

Now we will solve the modulus operator. The modulus operator "%" gives us the remainder after the division of the two numbers. After dividing one number by another, the modulo operation yields the remainder, or signed remainder, of the division.

E = 2.5

Hence, the value of the expression is 2.5.

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Twenty people are to be divided into two teams with ten players on each team, number of ways this be done is 92378  

Combinations:

In mathematics, combination is the process of choosing a number of items from a given group of objects.

The combination of n things in 'a' time without repetition is given by

Here we have,

Twenty people need to be divided into two teams with ten players on each team  

The total number of ways that can be chosen is 10 people from a group of 20 people = ²⁰C₁₀  

= 20!/10!(20 - 10)!

= 20!/ 10! 10!

= 184756  

As we know need to divide them into 2 groups

The number of ways that can be done = 184756/2 = 92378  

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The basic elements of appropriateness, effectiveness, and ethics are associated with interpersonal communication competence.

Interpersonal communication competence refers to the ability to effectively and appropriately communicate with others in various interpersonal contexts. It involves the use of communication skills to achieve desired outcomes while considering ethical principles. Appropriateness refers to the suitability of communication in a given situation, taking into account cultural norms, social expectations, and interpersonal dynamics. Effectiveness pertains to the ability to achieve communication goals and desired outcomes, such as conveying information accurately or persuading others effectively. Ethics refers to the moral principles and standards that guide communication behavior, including honesty, integrity, respect, and fairness. These three elements—appropriateness, effectiveness, and ethics—are fundamental components of interpersonal communication competence, which is crucial for establishing and maintaining successful interpersonal relationships.

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Based on the information provided, the company can demonstrate that Cp exceeds 1.33 at the 95% level of confidence. To determine the level of confidence that would give a one-sided lower confidence limit on Cp exceeding 1.33, further information is required.

a. To demonstrate that Cp exceeds 1.33 at the 95% level of confidence, the company needs to construct a confidence interval for Cp and check if the lower bound of the interval is greater than 1.33. Since the sample size is 50, the point estimate of Cp can be calculated using the sample data. By using statistical techniques and formulas for process capability analysis, the company can calculate the confidence interval for Cp. If the lower bound of the interval is greater than 1.33, the company can demonstrate that Cp exceeds 1.33 at the 95% confidence level.

b. To determine the level of confidence that would give a one-sided lower confidence limit on Cp exceeding 1.33, the specific data on the point estimate and standard deviation of Cp is needed. With that information, statistical calculations can be performed to find the level of confidence at which the lower confidence limit on Cp exceeds 1.33. The level of confidence would depend on the specific values of the point estimate and standard deviation.

Without the specific data and calculations, it is not possible to provide a precise level of confidence for the one-sided lower confidence limit on Cp exceeding 1.33. The calculations would need to be performed based on the available data to determine the appropriate level of confidence.

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Answer: The value of the expression at x = -2 and y = 3 will be negative 18.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ 3x - 4y

The value of the expression at x = -2 and y = 3 will be

⇒ 3(-2) - 4(3)

⇒ - 6 - 12

⇒ - 18

The value of the expression at x = -2 and y = 3 will be negative 18.

Step-by-step explanation:

Given:-

Solution:-

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hope it helps! :)

Answer:

27.15

Step-by-step explanation:

Let us name the vertices as shown below

A(- 1, 6)

B(5, 1)

C(- 4, - 3)

We would calculate the distance between each vertex by applying the formula for calculating distance between 2 points. It is expressed as

The perimeter of the triangle is the sum of the length of each side. Thus,

Perimeter = 7.81 + 9.85 + 9.49

Perimeter = The perimeter of the triangle is the sum of the length of each side. Thus,

Perimeter =   27.15



the volume of revolution of the surface generated by rotating the region bounded by y = 2x, x = 2, and the first quadrant around the x-axis using the shell method is 224π/3 cubic units.

To approximate the volume of revolution of the surface generated by rotating the region bounded by y = 2x, x = 2, and the first quadrant around the x-axis using the shell method, we first draw a sketch of the 2D region and the kth strip. The region is a right triangle with legs of length 2 and 4, and the strip is a vertical rectangle with height 2x and width Δx. The strip is located at x = 2 + kΔx, where k is an integer from 0 to n-1, and n is the number of strips.

The volume of the kth shell is approximately equal to the volume of a cylindrical shell with height 2x, radius x, and thickness Δx. The volume of the cylindrical shell is given by:

\(V_k\) = 2πx(2x)Δx

Summing up the volumes of all the shells from k = 0 to k = n-1, we get the Riemann sum:

V ≈ \(\sum_{k=0}^{n-1}\) 2πx(2x)Δx

Taking the limit as n approaches infinity and Δx approaches zero, we get the exact volume of revolution:

V = ∫₂⁴ 2πx(2x) dx

= ∫₂⁴ 4πx² dx

= 4π[x³/3]₂⁴

= 4π[4³/3 - 2³/3]

= 4π[64/3 - 8/3]

= 4π[56/3]

= 224π/3

Therefore, the volume of revolution of the surface generated by rotating the region bounded by y = 2x, x = 2, and the first quadrant around the x-axis using the shell method is 224π/3 cubic units.

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Answer:

Option D: Multiply the second equation by 4 and then add the result to the first equation is the correct answer.

Step-by-step explanation:

Given that:

x-4y = 2

2x+y = 12

For elimination, one of the variable is eliminated.

In this system,

we can either multiplying the first equation by 2 or second equation by 4.

Then we can add the equations.

By multiplying the second equation with 4 and then adding both equations, we can eliminate the variable y.

4(2x+y=12)

8x+4y=48

By adding

(x-4y)+(8x+4y)=2+48

7x=48

Hence,

Option D: Multiply the second equation by 4 and then add the result to the first equation is the correct answer.

Answer:

I can't answer a so here

b=yes

Step-by-step explanation:

p = 0

\(8 - 4(2p - 2) = 7 + p + 9\)

➡️ \(8 - 8p + 8 = 16 + p\)

➡️ \(16 - 8p = 16 + p\)

➡️ \( - 8p = p\)

➡️ \( - 8p - p = 0\)

➡️ \( - 9p = 0\)

➡️ \(p = 0\)

Pirya needs 1 1/2 cups of raspberries for 3/4 of a cake, so she needs 1 1/2 * (4/3) = 2 cups of raspberries for the whole cake.

A fraction is a numerical representation of a portion of a total. It consists of two integers, a numerator and a denominator, separated by a line or slash. The numerator reflects the number of equal portions of the whole that are being considered, while the denominator represents the total number of equal parts in the whole. For instance, the fraction "1/2" denotes one of two identical pieces, or half, of the whole. Mathematicians frequently utilize fractions to represent quantities, ratios, and proportions. They are also used in everyday life to signify amounts, such as one-half of a pizza or one-third of a cups of sugar.

How to solve?

she needs 1 1/2 * (4/3) = 2 cups of raspberries for the whole cake.

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Answer:

Domain: (-infinite, -8) U (-8, 2) U (2, +infinite)

Step-by-step explanation:

The graphs never intersect with the lines x=-8 and x=2 so -8 and 2 cannot be included in the domain.

Use "[]" for included and "()" for excluded.

The domain will go from far left to -8 => (-infinite, -8).

Then, the domain will go from -8 to 2 => (-8, 2).

Last, the domain will go from 2 to +infinite => (2, +infinite).

The correct option  a) 4 ft. , Service Cable that is attached to a building must be sustained at intervals no greater than 4 ft..

Service cables mounted in close proximity to a building must be supported at no more than four-foot intervals.

Thus,  service cable that is attached to a building must be sustained at intervals no greater than 4 ft.

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The output value of the given function is the result of the function when a particular input value is provided. It can be calculated by substituting the input value into the function and the value is 1296.

In the given function, size 12px f size 12px left parenthesis size 12px x size 12px right parenthesis size 12px equals size 12px 6 to the power of size 12px x size 12px plus size 12px 2

The output value is the result of the function when a particular input value is provided.

So, if we substitute a value for x, the output value of the function can be calculated as follows:

For example, if we substitute x=2, then the output value would be:

size 12px f size 12px left parenthesis size 12px 2 size 12px right parenthesis size 12px equals size 12px 6 to the power of size 12px 2 size 12px plus size 12px 2

= size 12px 6 to the power of size 12px 2+2

= size 12px 6 to the power of size 12px 4

= size 12px 1296

So, when x=2, the output value of the function is 1296.

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Answer:

a = 35

Step-by-step explanation:

\(a^2+b^2=c^2\\a^2+12^2=37^2\\a^2+144=1369\\a^2=1225\\a=35\)

Answer:

7,750 minutes

Step-by-step explanation:

Answer:

calm down 5x = 40 x = 8

40+40+3y-8=180

3y=108

y = 36

can you help me in something please?

The following statements are valid null and alternative hypotheses are

a. H0:formula266.mml≤ 210; HA:formula266.mml> 210 is Valid

b. H0: μ = 120; HA: μ ≠ 120 is Valid

c. H0: p ≤ 0.24; HA: p > 0.24 is Valid

d. H0: μ < 252; HA: μ > 252 is Valid

a. Valid: The null hypothesis is that formula266.mml is less than or equal to 210, and the alternative hypothesis is that formula266.mml is greater than 210. This is a valid set of hypotheses for a one-tailed test where we are testing whether the value of formula266.mml is greater than a certain threshold.

b. Valid: The null hypothesis is that the population mean is equal to 120, and the alternative hypothesis is that the population mean is not equal to 120. This is a valid set of hypotheses for a two-tailed test where we are testing whether the population mean is different from a certain value.

c. Valid: The null hypothesis is that the population proportion is less than or equal to 0.24, and the alternative hypothesis is that the population proportion is greater than 0.24. This is a valid set of hypotheses for a one-tailed test where we are testing whether the population proportion is greater than a certain threshold.

d. Valid: The null hypothesis is that the population mean is less than or equal to 252, and the alternative hypothesis is that the population mean is greater than 252. This is a valid set of hypotheses for a one-tailed test where we are testing whether the population mean is greater than a certain threshold.

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Answer:

Hi! im not sure about the always sometimes one but i could help on the never intersect.

Step-by-step explanation:

so the picture below is 2 lines crossing over each other the never intersect is these 2 lines cannot touch i think, so if they dont touch they would be parallel so one line is exactly the same right next to it so there not touching. i hope this helps :p

Answer:

Sometimes, it depends. They intersect when when the point is on the line

Answer:

The number of completed weeks when Natasha and Taylor will have an equal amount of saved is 8 weeks

Step-by-step explanation:

The starting amount of Taylor's savings = $10

The amount Taylor plans to save a week = $20

Therefore, the function that models Natasha's saving plan is y = 10 + 20·x

The function that models Natasha's saving plan is y = 50 + 15·x

Where;

y is the amount in savings

x is the number of completed weeks

When the amount of savings, y, of both Natasha and Taylor are equal, we have;

y for Natasha = y for Taylor

Therefore

10 + 20·x = 50 + 15·x

20·x - 15·x = 50 - 10

5·x = 40

x = 40/5 = 8

The number of completed weeks when Natasha and Taylor will have an equal amount of saved, x = 8 weeks

Answer:

A

Step-by-step explanation:

Given that the triangles are congruent then corresponding angles are congruent, thus

∠ S = ∠ Y = 108°

∠ T = ∠ Z = 9n - 4

Given ∠ R = 6n + 1

The sum of the 3 angles in Δ RST = 180°

Sum the 3 angles and equate to 180, that is

6n + 1 + 108 + 9n - 4 = 180 , simplify

15n + 105 = 180 ( subtract 105 from both sides )

15n = 75 ( divide both sides by 15 )

n = 5 → A

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u this is irrelevent but idrc lol

Step-by-step explanation:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u this is irrelevent but idrc lol

Answer:

3.7

Step-by-step explanation:

Acellus

The coordinates of the vertex for the quadratic function are given as follows: (100,10).

A quadratic equation is modeled by:

\(y = ax^2 + bx + c\)

The vertex is given by:

\((x_v, y_v)\)

In which:

In this problem, the function is given as follows:

y = -x²/1000 + x/5

y = -0.001x² + 0.2x.

Hence the coefficients are a = -0.001, b = 0.2, c = 0 and the coordinates of the vertex are given as follows:

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Answer:

A \(1.3 - 5.6 = - 4.3\)

Step-by-step explanation:

\(1.3 - 5.6 = - 4.3\)

Hope this helps! Pwease mark me brainliest! Have a great day!

−xXheyoXx

Answer:

just answering so you can give the other person brainliest :D

Step-by-step explanation: