20pts!! ANSWER ASAP!! FIRST ANSWER GETS BRAINLIEST
what is the next letter in the pattern below?

a, b, a, a, b, b, a, a, a, b, b, _,

A. c

B. b

C. d

D. a

Answer:

first option

Step-by-step explanation:

to find the zeros equate f(x) to zero , that is

2x² + 8x - 3 = 0 ( add 3 to both sides )

2x² + 8x = 3 ← factor out 2 from each term on the left side

2(x² + 4x) = 3

to complete the square

add/subtract ( half the coefficient of the x- term )² to x² + 4x

2(x² + 2(2)x + 4 - 4) = 3

2(x + 2)² - 8 = 3 ( add 8 to both sides )

2(x + 2)² = 11 ( divide both sides by 2 )

(x + 2)² = [tex]\frac{11}{2}[/tex] ( take square root of both sides )

x + 2 = ± [tex]\sqrt{\frac{11}{2} }[/tex] ( subtract 2 from both sides )

x = - 2 ± [tex]\sqrt{\frac{11}{2} }[/tex]

that is

x = - 2 - [tex]\sqrt{\frac{11}{2} }[/tex] , x = - 2 + [tex]\sqrt{\frac{11}{2} }[/tex]

Answer:

x  = -2 - √11/2 and - 2 + √11/2.

Step-by-step explanation:

2x^2 + 8x - 3 = 0

Divide first 2 terms  by 2:

2(x^2 + 4x) - 3 = 0

2(x^2 + 4x)  = 3

Complete the square:

2 [ (x + 2)^2 - 2^2)  = 3

2(x + 2)^2  - 8 = 3

2(x + 2)^2 = 11

(x + 2)*2 = 11/2

x + 2 = ± 11/2

x = -2  ± √11/2

Answer:

There were 12 cranes in class yesterday. For all the cranes, there were a total of 290 centimeters.

Step-by-step explanation:

41-29=12.

29*10=290

Account balance at the end of day is 195.

A word problem is a type of mathematics exercise where the majority of the problem's context is supplied in spoken language as opposed to mathematical notation.

now according to question

initial balance in account on march 16 =80

deposit in account on the same day = 50

overdraft fee charged by bank=25

several transactions amount deposited in bank=90

total amount deposited /available in bank account.

=80+50+90

=220

total amount deducted from account

=25

account balance at the end of day

=220-25

=195

hence answer is 195

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The missing value from the table is 4.

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained in another value.

In order to determine the missing number, we first have to determine the rate of change of the number of drummers.

Rate of change:

4 - 3 = 1

2 -1 = 1

3 - 2 = 1

So, the rate of change is 1. Thus, the missing number : 3 + 1 = 4

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Answer: missing value is 5

Step-by-step explanation:

The expression that represent the total amount Ilean earned last week is 27(18) + 75  

An equation is an expression that shows the relationship between two or more variables and numbers.

Let y represent the total amount Ilean earned last week for working x hours.

Since she worked for 27 hours and earned $75 to design a web page. Hence:

y = 27(18) + 75

The expression that represent the total amount Ilean earned last week is 27(18) + 75  

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FALSE

To calculate the perimeter of a triangle, add the length of its sides. For example, if the sides of a triangle are a, b, and c, the perimeter of the triangle is P = a + b + c.

Since all three sides of the triangle are the same length, you can multiply the length of each side by 3 to get the perimeter.

To find the circumference of a circle, multiply the diameter of the circle by π (pi). The circumference can also be calculated by multiplying 2 x radius by pi (π = 3.14).

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"An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers."  

The general form an arithmetic sequence is:

       [tex]a_{n} = a_{1} + (n- 1) d[/tex]

So, the statement provided is True.

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The missing indicated angle of the given right angle triangle is; 39°

We can see in the attached image showing the missing figure that it is a right angle triangle and as such we can find the missing angle via trigonometric ratios. In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles

The trigonometric ratios we can use are as follows;

sin x = opposite/adjacent = opp/hyp

cos x = adjacent/hypotenuse = adj/hyp

tan x = opposite/adjacent = opp/adj

Now, we see that the missing angle lies on the side with a length of 28. Thus, adjacent side = 28 and opposite side of it = 23. Thus;

tan x = opposite/adjacent = 23/28

x = tan⁻¹(23/28)

x =  tan⁻¹(0.8214)

x = 39.4° ≈ 39°

Thus, we can conclude that the measure of the indicated angle to the nearest degree 35 and 28 is calculated as 39°.

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The price that must be charged for a 1-hour tutoring session to produce this amount of revenue is 24.5 dollars

The first thing to do with word problem is to understand the question. After that, make analysis of the question.

It is given that a A private tutoring company charges $20 for a 1-hour session. Currently, 300 students are each tutored for an hour each week. Since the company is losing money, the owner has decided to increase the price. For each 50¢ increase, That is $20.5 for each students.

If she estimates that 5 fewer students will participate, that is, 295 students, and the company needs to bring in $6,210 per week to stay in business.

Let us assume that 1 hour per day. And there are 7 days in a week.

Divide the money by 7 to know the value per day

6210/7 = 887.14

Now, divide the amount per day by 250 students to know the amount per student per hour

887.14/295 = 3.007

The price that must be charged for a 1-hour tutoring session to produce this amount of revenue should be 20.5 + 4 = 24.5 dollars

Therefore, each student will pay $24.5 per hour

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Answer:

[tex] y = \pm \sqrt{\dfrac{x - 7}{6}} [/tex]

Step-by-step explanation:

f(x) = 6x² - 7

y = 6x² - 7

x = 6y² - 7

6y² = x - 7

[tex] y^2 = \dfrac{x - 7}{6} [/tex]

[tex] y = \pm \sqrt{\dfrac{x - 7}{6}} [/tex]

Answer:

==================

y = 3x² - 12x + 7 =

     3(x² - 4x) + 7 =                                  Factor out 3

     3(x² - 4x + 4) - 3*4 + 7 =                   Complete the square

     3(x - 2)² - 5                                       Simplify

Answer:

  y = 3(x -2)² -5

Step-by-step explanation:

It looks like you want to write the standard-form quadratic ...

  y = 3x² -12x +7

in vertex form.

The process is similar to that of "completing the square."

Factor out the leading coefficient

Do this for the variable terms only.

  y = 3(x² -4x) +7

Identify the x-term coefficient

The x-term coefficient (inside parentheses) divided by 2 is the opposite of the x-coordinate of the vertex. It is the constant term in the squared binomial of the vertex form. Square this value.

  x coefficient: -4

  binomial constant: -4/2 = -2

  square of this: (-2)² = 4

Add this inside parentheses

To keep the overall equation unchanged, you must also subtract an equal amount outside parentheses.

  y = 3(x² -4x +4) +7 -3(4)

Simplify to vertex form

Write the trinomial in parentheses as a square, and simplify the y-coordinate of the vertex.

  y = 3(x -2)² -5

The lengths of the other two sides of the right triangle are 12 and 13

From the question, we are to determine the lengths of the other sides of the triangle

From the given information,

The other sides have lengths that are consecutive integers

Thus,

If the length of the other side is x

Then,

The hypotenuse will be x + 1

By the Pythagorean theorem, we can write that

(x+1)² = x² + 5²

(x+1)(x+1) = x² + 25

x² + x + x + 1 = x² + 25

x² - x² + x + x = 25 - 1

2x = 24

x = 24/2

x = 12

∴ The other leg of the right triangle is 12

Hypotenuse = x + 1 = 12 + 1 = 13

Hence, the lengths of the other two sides are 12 and 13

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The new mean and standard deviation is 26 and 15, when each score in data set is multiplied by 5 and then 7 is added.

According to the question,

Original mean is 10 and original standard deviation is 5 . In order to find to new mean and standard deviation when each score in data set is multiplied by 5 and then 7 is added.

First "change of scale" when every score in a data set is multiplied by a constant, its mean and standard deviation is multiplied by a same constant.

Mean: 10*3 = 30

Standard deviation: 5*3 = 15

Secondly "change of origin" when every score in a data set by a constant, its mean get  added or subtracted by the same constant and standard deviation remains constant.

Applying change of origin in the above mean and standard deviation  

Mean: 30 - 4 = 26

Standard deviation: Remains same = 15

Hence, the new mean and standard deviation is 26 and 15, when each score in data set is multiplied by 5 and then 7 is added.

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The expression θ = - 50° ± i · 360°, [tex]i \in \mathbb{N}_{O}[/tex] represents the family of all angles coterminal with - 50° angle.

Two angles are coterminal if and only if their end have the same direction. Two consecutive coterminal angles have a difference of 360°. Then, we can derive an expression representing the family of all angles coterminal to - 50° angle.

θ = - 50° ± i · 360°, [tex]i \in \mathbb{N}_{O}[/tex]

The expression θ = - 50° ± i · 360°, [tex]i \in \mathbb{N}_{O}[/tex] represents the family of all angles coterminal with - 50° angle.

The statement is incomplete and complete form cannot be reconstructed. Thus, we modify the statement to determine the family of angles coterminal to - 50° angle.

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There are 117600 ways for the distribution of the prizes.

According to the statement

We have given that the number of people enter in a contest is 50.

And

Number of prizes given identically is 3.

And we have to find that the by how many ways can be prizes be awarded.

So,

Provided that no one can receive more than one prize,

It means The first prize can be given to any of the 50 people, the second to any of the remaining 49, and the third to the remaining of the 48,

Here we use Permutation

Then the possibilities become is

50*49*48= 117600

So there are above written ways to distribute the prizes.

There are 117600 ways for the distribution of the prizes.

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Option C

Minimum: 202

Quartile (Q1): 208

Median: 218

Quartile Q3: 229

Maximum: 237

The max and min value, the lower and upper quartiles, and the median of a data comprise the five-number summary.

Given the data: 236, 202, 218, 208, 225, 229, 211, 237, 223, 206, 217, 216, 232, 225, 208, we would have the following:

Minimum: 202 (least value)

Quartile (Q1): 208 (center of the first half of the data)

Median: 218 (center of the data when ordered)

Quartile Q3: 229 (center of the second half of the data)

Maximum: 237 (highest value).

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Answer:

Step-by-step explanation:

Area Formula

A = (a + b) × h/2

A = (28 + 14) * 16/2

A = 42 * 8

A = 336 cm²

The isosceles triangle is proved below.

The complete information wasn't found. The proofing of the triangle will be illustrated. It should be noted that the angles opposite to the equal sides of an isosceles triangle are also equal.

Proof: Consider an isosceles triangle ABC where AC = BC.

We need to prove that the angles opposite to the sides AC and BC are equal, that is, ∠CAB = ∠CBA.

We first draw a bisector of ∠ACB and name it as CD.

Now in ∆ACD and ∆BCD we have,

AC = BC                                                                (Given)

∠ACD = ∠BCD                                                    (By construction)

CD = CD                                                               (Common to both)

Thus,  ∆ACD ≅∆BCD                                        (By SAS congruence criterion)

So, ∠CAB = ∠CBA                                              (By CPCT)

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0.385 is the probability under given conditions.

Lets simplify the above problem,

Given n=20, p=0.05, q=0.95

Probability that in a sample of 20 window frames:

None will need adjustments.

P(x=0)= 0.95^20 = 0.3585

At least one will need adjustment?

P(x>=1) = 1 - P(x=0)

= 1 - 0.3585

= 0.6415

More than two will need adjustment?

P(x>2) = 1 - P(x=0) -P(x=1) -P(x=2)

= 1 - 0.3585 - 20C1(0.05)^1*(0.95)^19 - 20C2(0.05)^2*(0.95)^18

= 0.6415 - 20*0.05*0.3774 - 190*0.0025*0.3972

= 0.2641-0.18868

= 0.0755

Hence 0.385 is the solution of the given problem.

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Answer:

-2

Step-by-step explanation:

The slope of a line is rise/run

So, just see how much the line rises/how much the line runs

In this case, the line rises 2 units for every -1 unit it runs

So, the slope is -2

Hello,

[tex] \frac{p(x)}{q(x)} = \frac{ {x}^{2} - x - 12}{x + 3} = \frac{(x - 4)(x + 3)}{x + 3} = x - 4[/tex]

Answer:

Step-by-step explanation:

The values which could be the slope of the line are numbers > 0.

According to the task content, it follows that the given line originates from the lower left quadrant and continues through the upper right quadrant.

It therefore follows that the line is ascending from left to right in which case, the slope of the line is positive.

Hence, the possible values of the slope include the set of numbers greater than 0.

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Answer: C and D

Step-by-step explanation: Trust me bro

Answer:

2

Step-by-step explanation:

The graphs intersect at 2 points.

The 2 solutions are x = -2 and x = 6.

The correct option is c. 7

The summation of the expression  [tex]\sum_{i=1}^{3}\left(4\left(\frac{1}{2}\right)^{i-1}\right)[/tex]  is 7.

The sum of terms that follow a pattern is denoted by the symbol '∑' "summation," which also serves as a shorthand notation.

A sum of several terms is typically represented by the symbol "∑" This symbol is typically accompanied with a variable index that includes all terms that must be taken into account when calculating the total.

The given expression is;

[tex]\sum_{i=1}^{3}\left(4\left(\frac{1}{2}\right)^{i-1}\right)[/tex]

The the property of summation, expand the values.

[tex]\sum_{i=1}^{3}\left(4\left(\frac{1}{2}\right)^{i-1}\right)=4\left(\frac{1}{2}\right)^{1-1}+4\left(\frac{1}{2}\right)^{2-1}+4\left(\frac{1}{2}\right)^{3-1}[/tex]

[tex]\sum_{i=1}^{3}\left(4\left(\frac{1}{2}\right)^{i-1}\right)=4\left(\frac{1}{2}\right)^{0}+4\left(\frac{1}{2}\right)^{1}+4\left(\frac{1}{2}\right)^{2}[/tex]

[tex]\sum_{i=1}^{3}\left(4\left(\frac{1}{2}\right)^{i-1}\right)=4\left(\frac{1}{1}\right)+4\left(\frac{1}{2}\right)+4\left(\frac{1}{4}\right)[/tex]

[tex]\sum_{i=1}^{3}\left(4\left(\frac{1}{2}\right)^{i-1}\right)=4+2+1\\[/tex]

[tex]\sum_{i=1}^{3}\left(4\left(\frac{1}{2}\right)^{i-1}\right)=7\\[/tex]

Therefore the solution of the given equation is 7.

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The correct question is;

What is the value of [tex]\sum_{i=1}^{3}\left(4\left(\frac{1}{2}\right)^{i-1}\right)[/tex] ?

a.7/8

b.8

c.7/2

d.7

The sample variance for distribution of the means is 9

The average of the squared differences from the Mean is called Variance. Variance is a measure of dispersion, meaning it is a measure of how far a set of numbers is spread out from their average value.

The Standard Deviation is a measure of how spread out numbers are.

Its symbol is σ (the Greek letter sigma)

Its formula is the square root of the Variance

Given: Standard Deviation = 3

           Sample size = 36

∴ By formula we get

3 = √(Variance)

∴ 9 = Variance

Thus the sample variance for distribution of the means is 9

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Answer:

Se below

Step-by-step explanation:

The two angles form a straight line which is 180° angle

4z + z = 180

5z = 180

z = 36  °            4z = 144°

Answer:

A(1,2)

Step-by-step explanation:

tracing the point of intersection of the two lines on the y and the x axis,on the y we have 2 and on the x we 1.

The expression which is equivalent to 8x²√375x + 2³√3x^7 if x = 0 is; 0.

According to the task content, the expression given is; 8x²√375x + 2³√3x^7.

On this note, it follows that when x=0 is substituted into the expression; the evaluation amounts to zero, 0.

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