What is the following Factor for these two rational expressions:
22x + 11 x2 – 3x – 10 1 – 2c 20c2 + 10c

Answers

Answer 1

To find the factor of these two rational expressions, we need to factor each expression separately and then compare them to find any common factors.

First, let's factor the expression 22x + 11 x2 – 3x – 10:
(22x + 11 x2) + (-3x - 10)
11x(2 + x) - (3x + 10)
(11x - 10)(x + 2)

Next, let's factor the expression 1 – 2c 20c2 + 10c:
(1 - 2c) + (20c2 + 10c)
(1 - 2c) + 10c(2c + 1)
(1 - 2c)(10c + 1)

Now, we can compare the factors of each expression to see if there are any common factors. In this case, there are no common factors between the two expressions.

Therefore, the factor for these two rational expressions is 1.

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Related Questions

Find the first 3 iterates of the function f(x) = 3x when x0=2?​

Answers

The first 3 iterates of the function f(x) = 3x when x0=2 are,

⇒ 6, 18, 54

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The function is,

⇒ f (x) = 3x

At x₀ = 2

Now, We get;

The first iterate is,

⇒ f (x₁) = 3x₀ = 3 × 2 = 6

Second iterate is,

⇒ f (x₂) = 3x₁ = 3 x 6 = 18

Third iterate is,

⇒ f (x₃) = 3x₂ = 3 x 18 = 54

Thus, The first 3 iterates of the function f(x) = 3x when x0=2 are,

⇒ 6, 18, 54

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PLEASE HELP !!!!!!! A group of 1,254 people is going on a boat tour if each boat holds 8 people how many boats will they need ?

Answers

We need to round up to the next full number because we are unable to equation have a fraction of a boat. The organization will thus require 157 boats to hold the entire 1,254 persons.

What is equation?

Using the equals symbol (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of two mathematical expressions by a mathematical assertion. The equal sign, for example, provides a gap between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical formula to understand the connection between the two phrases that are written on opposite sides of a letter. Most of the time, the logo and the particular software match. e.g., 2x - 4 = 2 is an example.

We may divide the total number of persons by the capacity of each boat to determine the number of boats required to hold a party of 1,254 individuals:

8 individuals per boat times 1,254 passengers is 156.75 boats.

We need to round up to the next full number because we are unable to have a fraction of a boat. The organization will thus require 157 boats to hold the entire 1,254 persons.

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T's grandma stores her picture frames in a box. Each side of the box is 2 in. long. T wants to know the volume of the box.

Answers

Answer: 8 cubic inches

Step-by-step explanation:

Answer:

Volume of cube = length x width x height

V = 2x2x2

V = 8

Therefore, the volume of the box is 8 inches long.

Choose 1 answer:
A: Replace one equation with the sum/difference of both equations.
B: Replace only the left-hand side of one equation with the sum/difference of the left-hand sides of both equations.
C: Replace one equation with a multiple of itself.
D: Replace one equation with a multiple of the other equation.

Answers

Answer:

Step-by-step explanation:

Answer is (A)

Replace [tex]6x-5y=1[/tex] with the sum of both equations in System A

-11(-2y -3 - 4y)

Will get big points

Answers

Answer:

66y + 33

Step-by-step explanation:

Open up the parenthesis, then simplify

-11 (-2y - 3 - 4y)

22y + 33 + 44y

66y + 33

If you need it simplified, take 33 common

33 (2y + 1)

Answer:

66y+33

Step-by-step explanation:

22y+33+44y

66y+33

Look at the diagram.
F
I
G
Which term describes GI?
median
angle bisector
H
perpendicular bisector
altitude

Answers

Answer:

Without more information about the diagram, it is impossible to determine the term that describes GI. The terms median, angle bisector, perpendicular bisector, and altitude are all related to different types of lines and segments in triangles. Depending on the context and information given in the diagram, GI could be any of these.

Step-by-step explanation:

wag na pa delete nito na bweweset ako ang bob0 ng admin

Avogadro borrows $2,500 from Leonardo and agrees to pay him back $2,700 after
180 days. Assume a 360-day year for each of the following.
(a) Find the annual simple interest rate for this transaction.
(b) After waiting 60 days, Leonardo sells the loan to Wolfgang, agreeing that Wolfgang will
receive the $2,700 loan repayment from Avogadro when it is due. Given that Wolfgang
earns 20% annual simple interest on the deal, how much did he pay Leonardo for the
loan?

Answers

a) The annual simple interest rate for this transaction is 16%.

b) Wolfgang paid $3,000 for the loan.

The annual simple interest rate is the percentage of the principal amount that is charged as interest for one year. It can be calculated using the formula I = P*R*T, where I is the interest, P is the principal amount, R is the annual interest rate, and T is the time in years.

(a) In this case, the principal amount is $2,500, the interest is $2,700 - $2,500 = $200, and the time is 180/360 = 0.5 years. We can plug these values into the formula and solve for R:

$200 = $2,500*R*0.5

$200 = $1,250*R

R = $200/$1,250

R = 0.16

The annual simple interest rate for this transaction is 16%.

(b) To find out how much Wolfgang paid for the loan, we can use the same formula and solve for P. The interest is $2,700 - $2,500 = $200, the annual interest rate is 20%, and the time is 120/360 = 0.3333 years:

$200 = P*0.20*0.3333

$200 = 0.06666*P

P = $200/0.06666

P = $3,000

Wolfgang paid $3,000 for the loan.

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Find the sides of a triangle circumscribed about a circle of
radius 4 and divided on one side by the circle into segments of
length 6 and 8.

Answers

The sides of the triangle circumscribed about a circle of radius 4 and divided on one side by the circle into segments of length 6 and 8 are 6, 8, and 4.

The triangle circumscribed about a circle of radius 4 and divided on one side by the circle into segments of length 6 and 8 can be found using the Law of Cosines. The Law of Cosines states that c2 = a2 + b2 - 2ab cos C, where c is the length of the hypotenuse, a and b are the lengths of the other sides, and C is the angle opposite side c.

We know the hypotenuse of this triangle is 8, as it is the length of one of the segments on the side of the triangle. We also know that angle C is 90° as it is a right triangle.

Therefore, using the Law of Cosines we can find the length of the other side of the triangle, which is 6. The equation is 82 = 62 + a2 - 2(6)(a)cos(90°). Solving this equation, we find that a = 4.

Therefore, the sides of the triangle circumscribed about a circle of radius 4 and divided on one side by the circle into segments of length 6 and 8 are 6, 8, and 4.

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Question 3(Multiple Choice Worth 2 points)
(Theoretical Probability MC)
When rolling a 6-sided die twice, determine P(sum of 5).
O
2/6
4/36
5/36
10/36

Answers

The probability of rolling a sum of 5 when rolling a 6-sided die twice is 1/9.

The Law of Big Numbers is what?

According to the Law of Large Numbers, a fundamental tenet of probability theory, the average of the results of an experiment approaches the predicted value of the random variable being measured as the number of trials in the experiment rises. In other words, the Law of Big Numbers states that the observed results will be closer to the predicted outcomes the more times an experiment is conducted.

The total number of outcomes when a die is rolled two times is 36.

The sum of 5 is obtained for the following outcomes:

(1,4), (2,3), (3,2), and (4,1)

Thus,

P(sum of 5) = 4/36 = 1/9

Hence, the probability of rolling a sum of 5 when rolling a 6-sided die twice is 1/9.

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Rogelio watches a movie that is 1 3/4 hours
long. He stops for dinner after watching 3/5
of the movie. How many hours of the
movie has he watched?

Answers

Rogelio has watched 23/20 hours of the movie.

What is a fraction?

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator. The numerator defines the number of equal parts taken, whereas the denominator defines the total number of equal parts in a whole.

Movie duration = 1 3/4 = 7/4

Duration of movie watched = 3/5

Duration watched = 7/4 - 3/5

Duration watched = 23/20

Duration watched = 1 3/20 (mixed fraction)

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Please help solve and explain!

Answers

The exponential function is y = 5*(∛2)^x and the value after 10 days is 50.4

How to write the function?

Here we can see an exponential function of the form y = a*b^x

First, notice that it passes through (0, 5), then:

5 = a*b^0 = a

5 = a

So we got the initial value, so we can write the equaton like:

y = 5*b^x

And now we need to find the value of b.

We also can see that it passes through (3, 10), then:

10 = 5*b^3

10/5 = b^3

2 = b^3

∛2 = b

So the function is:

y = 5*(∛2)^x

b) The value after 10 days is what wet when we evaluate the function above in x = 10, then we will get:

y = 5*(∛2)^10  = 50.4

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How do u change this from vertex form y=2(x-2)^2+5 to standard form?

Answers

The standard form for the quadratic equation written in vertex form y = 2(x - 2)² + 5 is y = 2x² - 8x + 13.

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of second degree.

To change the equation y = 2(x - 2)² + 5 from vertex form to standard form, we need to expand the squared term and simplify the expression.

Here are the steps -

Start with the vertex form: y = 2(x - 2)² + 5.

Expand the squared term using the formula (a - b)² = a² - 2ab + b².

In this case, a = x and b = 2, so we have -

y = 2(x - 2)(x - 2) + 5

y = 2(x² - 4x + 4) + 5

Multiply the coefficient 2 by each term inside the parentheses -

y = 2x² - 8x + 8 + 5

Combine the constant terms -

y = 2x² - 8x + 13

This is the standard form of the quadratic equation.

In standard form, the quadratic equation is written as y = ax² + bx + c, where a, b, and c are constants.

In this case, a = 2, b = -8, and c = 13.

Therefore, the standard form is y = 2x² - 8x + 13.

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The current temperature is 48\deg F. It is expected to drop 1.5\deg F each hour. Which equation can be used to find in how many hours, h, the temperature will be 36\deg F?

Answers

Answer:

Let's start by defining some variables to represent the given information:

T0 = 48°F (the current temperature)

deltaT = -1.5°F/hour (the rate of change in temperature)

T = 36°F (the target temperature)

We want to find how many hours it will take for the temperature to drop from 48°F to 36°F, so let's call that time h. We can use the formula for the linear relationship between temperature and time:

T = T0 + deltaT * h

We want to solve for h when T = 36°F, so we can substitute the given values and solve for h:

36 = 48 + (-1.5) * h

-12 = -1.5h

h = 8

Therefore, it will take 8 hours for the temperature to drop from 48°F to 36°F, assuming the temperature continues to decrease at a rate of 1.5°F per hour.

prove that the points P(3,2),Q(6,2) and R(6,6) represents a scalene triangle.​

Answers

Answer:

  3-4-5 right triangle is scalene

Step-by-step explanation:

You want to show the triangle defined by points P(3,2),Q(6,2) and R(6,6) is a scalene triangle.

Side lengths

We observe that points P and Q have the same y-coordinate, so lie on the horizontal line y=2. The length PQ is 6 -3 = 3 units.

Points Q and R have the same x-coordinate, so lie on the vertical line x=6. The length QR is 6 -2 = 4 units.

These legs are different lengths and are at right angles to each other. The third leg, the hypotenuse, will be longer than either of them.

The triangle's sides are unequal, so the triangle is a scalene triangle.

PLS HELP
what is 15% of 35 (show working out)

Answers

Answer:

3/700

Step-by-step explanation:

hope this helps :))

The solution is as follows:

15% of 35 can be interpreted as: 15/100 times by 35, so 15(35) / 100 = 5,25

You also use the rule of three to find the solution by making this statement:

If a 100% => 35,
Then 15% => ?,

Therefore here, we times 15% by 35 and then divide by the 100%, which again gives us: 5,25

Point


(
6
,

5
)
B

(6,−5)B, prime, left parenthesis, 6, comma, minus, 5, right parenthesis is the image of

(

5
,

2
)
B(−5,−2)B, left parenthesis, minus, 5, comma, minus, 2, right parenthesis under a translation.

Answers

B' is 11 right and 3 down from B.

What is an image translation?

A shape is translated when it is moved up, down, left, or right without turning. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They have only changed their direction or directions.

Here, we have

Given: Point B​′​​(6,−5) is the image of B(−5,−2) under a translation.

The translation is from (-5, -2) to (6, -5). That is the values (h, k) was added to the coordinates where ...

-5 +h = 6

h = 11 . . . . . . . a translation of 11 to the right

and

-2 +k = -5

k = -3 . . . . . . . a translation of -3 upward is a translation of 3 downward.

Hence, B' is 11 units to the right and 3 units down from B.

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Training neural networks requires two steps. In the forward pass we compute the output of the network and the loss given the input, and in the backward pass we compute the derivatives for all the parameters given the loss, and the values computed in the forward pass. Take the regression network of slide 10 of lecture 6 ("Beyond linear models") and assume you have some instance, some target value and, and that you are using squared error loss. Write pseudocode for the forward and backward pass. You may use a separate variable for each node in the network, or store all the values of one layer in a list or similar datastructure. You can use whatever form of pseudocode seems most appropriate, but the more detailed it is, the better. When in doubt, we suggest making it as close to runnable python code as you can.

Answers

Training a regression network with squared error loss requires two steps: the forward pass and the backward pass.

Forward Pass:

Let x be the input to the neural network, y be the target value, w be the weights of the neural network, and h be the output of the neural network.Initialize an empty array l to store the output of each layer.Compute the output of the first layer l[0] with the weights w[0] and the input x, and store it in l[0].Compute the output of the second layer l[1] with the weights w[1] and the input l[0], and store it in l[1].Compute the output of the third layer h with the weights w[2] and the input l[1], and store it in h.Compute the loss between y and h, using the squared error loss function.

Backward Pass:

Let delta be the derivative of the loss with respect to h.Compute the derivative of the loss with respect to l[2] with delta and the weights w[2].Compute the derivative of the loss with respect to l[1] with the derivative of the loss with respect to l[2] and the weights w[1].Compute the derivative of the loss with respect to l[0] with the derivative of the loss with respect to l[1] and the weights w[0].Compute the derivative of the loss with respect to w[2] with delta and the input l[1].Compute the derivative of the loss with respect to w[1] with the derivative of the loss with respect to l[2] and the input l[0].Compute the derivative of the loss with respect to w[0] with the derivative of the loss with respect to l[1] and the input x.

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What the greatest common factor of 10x and 25

Answers

Answer:

5

Step-by-step explanation:

59. Standard Normal areas Find the proportion of observations in a standard Normal distribution that satisfies each of the following statements.
(1) z > -1.66
(2) -1.66 < z <2.85​

Answers

The proportion of observations in a standard Normal distribution that satisfies each of the given statements are:

1) P(z > -1.66) = 0.95154

2) P(-1.66 < z <2.85​) = 0.94936

How to find the probability of the z-score?

Z table or z-score table is defined as a mathematical table that provides the values of cumulative density function for standard normal variates. It is used to determine the probability of a standard normal variate lying in a given interval.

We have to find the proportion of observations from a standard normal distribution that has a z-score between -1.66 and 2.85.

1) z > -1.66

From normal probability distribution table, we have that:

P(z > -1.66) = 0.95154

2) -1.66 < z <2.85​

From normal probability distribution table, we have that:

P(-1.66 < z <2.85​) = 0.94936

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1) Stacy's age is 3 less than 4 times what her age was 6 years ago.
Write algebraic equation to express this, please show work.
2) A pair of pants was originally selling for $135, and discounted by 25% before an 9% tax was applied.
What would be the cost of the item? Please show work

Answers

Stacy's age is 3 less than 4 times what her age was 6 years ago. The  algebraic equation to express this is x = 4(x - 6) - 3. A pair of pants was originally selling for $135, and discounted by 25% before an 9% tax was applied. The cost of the item after the discount and tax is $110.36.

1) Let's begin by defining a variable for Stacy's age. We'll use x to represent her current age.
According to the question, Stacy's age is 3 less than 4 times what her age was 6 years ago. We can write this as an algebraic equation:
x = 4(x - 6) - 3
Now, we'll solve for x by simplifying and isolating the variable on one side of the equation:
x = 4x - 24 - 3
x = 4x - 27
27 = 3x
x = 9
So, Stacy's current age is 9.

2) To find the cost of the item after the discount and tax, we'll first calculate the discount amount and then the tax amount.
The discount amount is 25% of the original price, so we'll multiply the original price by 0.25:
$135 * 0.25 = $33.75
Now, we'll subtract the discount amount from the original price to find the discounted price:
$135 - $33.75 = $101.25
Next, we'll calculate the tax amount by multiplying the discounted price by the tax rate of 9%:
$101.25 * 0.09 = $9.11
Finally, we'll add the tax amount to the discounted price to find the final cost of the item:
$101.25 + $9.11 = $110.36
So, the cost of the item after the discount and tax is $110.36.

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What is 92199+20923+29290+83292+2819+99279+38471+378142

Answers

Answer:

The sum is 611105.

Answer:

782,886

Step-by-step explanation:

Weighted
grade is 89%. Final is worth 35%. What is the minimum final score
that I need to get a 77%?

Answers

To find the minimum final score you need to get a 77%,

you can use the following formula:
(weight of weighted grade * weighted grade) + (weight of final * final grade) = desired overall grade
Plug in the given values:
(0.65 * 89) + (0.35 * final grade) = 77
Solve for the final grade:
57.85 + 0.35 * final grade = 77
0.35 * final grade = 19.15
final grade = 19.15 / 0.35
final grade = 54.71

Therefore, the minimum final score you need to get a 77% overall is 54.71%.

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Part 3 B 3.1 Given: P = 2 2x+5 + 2x 3.1.1 Show that P is a rational number if x = 1.5 3.1.2 Determine the values of for which P is a real number. (3) (2)​

Answers

P is rational number from the given equation P=2(2x+5)+2x.

What is the rational number?

Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).

The given equation is P=2(2x+5)+2x.

Here, P=2(2x+5)+2x

P=4x+10+2x

P=6x+10

Given that, x=1.5, 3 and 1.2

Substitute, x=1.5 in P=6x+10, we get

P=6×1.5+10

P=9+10

P=19

So, 19 is rational number

Substitute, x=3 in P=6x+10, we get

P=6×3+10

P=18+10

P=28

So, 28 is rational number

Substitute, x=1.2 in P=6x+10, we get

P=6×1.2+10

P=7.2+10

P=17.2

So, 17.2 is rational number

Therefore, P is rational number from the given equation P=2(2x+5)+2x.

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See Solution Bcore: 5 Penalty: None gleton Operations on Functions 6:13PM f(x)=x^(2)-5x-50 and g(x)=x+5, find (f-g)(x)

Answers

The value of (f-g)(x)  is  x^(2)-6x-55.

What are Mathematical operations on a function?

Mathematical operations on a function involve the manipulation or transformation of the function, such as adding, subtracting, multiplying, dividing, and integrating the function. These operations can be done either to the function itself or to the domain or range of the function. This can be used to find the inverse of a function, calculate the area under the curve, or find the first or second derivative of a function.

To find (f-g)(x), we need to subtract the function g(x) from the function f(x).



(f-g)(x) = f(x) - g(x)

= (x^(2)-5x-50) - (x+5)

= x^(2)-5x-50 - x - 5

= x^(2)-6x-55

Therefore, (f-g)(x) = x^(2)-6x-55.

This is the final answer for the difference between the two functions f(x) and g(x).

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help me please a.) Use the table below to calculate the average percent change in population in California from 2000-2009.
b.) If California's population in 2009 was 37,000,000 and the population trend were to continue, what would the population be in the year 2015?

Answers

the solution is: population in 2015 will be 40,115,896

What is exponential?

The exponential function is an illustration of a mathematical function that may be used to identify if something is increasing or decreasing exponentially. An exponential function employs exponents, as suggested by its name.

But, you should be aware that an exponential function does not have a constant base and a variable exponent (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

the median population change in California from 2000 to 2009 in percentage terms.

Given that there are 9 years, add up all the percentages, and then divide by 9.

1.97+1.71+1.65+1.42+1.22+1.02+1.07+1.22+0.93/9 = 1.3567%

From 2009 through 2015, there were six different time periods.

In the future, 37,000,000 x (1 + 0.013567) x 6 = 40,115,896.06

Hence, the solution is: population in 2015 will be 40,115,896

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Consider the system of linear equations \[ \begin{aligned} h x_{1}-3 x_{2}-6 x_{3} & =-3 \\ x_{1}+3 x_{2}+x_{3} & =1 \\ -4 x_{1}-9 x_{2}+2 x_{3} & =-1 \end{aligned} \] (a) For what value(s) of \( h \)

Answers

For the system of linear equations

[tex]\[ \begin{aligned} h x_{1}-3 x_{2}-6 x_{3} & =-3 \\ x_{1}+3 x_{2}+x_{3} & =1 \\ -4 x_{1}-9 x_{2}+2 x_{3} & =-1 \end{aligned} \][/tex],  

the value of [tex]\( h \)[/tex] is [tex](15/4)x_2 + (30/4)x_3[/tex].


The value of h can be determined by using the elimination method to solve the system of equations.

First, multiply the second equation by 4 and the third equation by -1 to eliminate the x1 term: [tex]\[ \begin{aligned} 4 h x_{1}-12 x_{2}-24 x_{3} & =-12 \\ -4 x_{1}-12 x_{2}-4 x_{3} & =-4 \\ 4 x_{1}+9 x_{2}-2 x_{3} & =1 \end{aligned} \][/tex]

Next, add the second and third equations to the first equation: [tex]\[ \begin{aligned} 4 h x_{1}-15 x_{2}-30 x_{3} & =-15 \\ \end{aligned} \][/tex]

Now, divide the equation by 4 to solve for h: [tex]\[ \begin{aligned} h x_{1}-\frac{15}{4} x_{2}-\frac{30}{4} x_{3} & =-\frac{15}{4} \\ h x_{1}-\frac{15}{4} x_{2}-\frac{30}{4} x_{3}+\frac{15}{4} & =0 \\ h x_{1}-\frac{15}{4} x_{2}-\frac{30}{4} x_{3}+\frac{15}{4}-\frac{15}{4} & =-\frac{15}{4}+\frac{15}{4} \\ h x_{1}-\frac{15}{4} x_{2}-\frac{30}{4} x_{3} & =0 \\ h & =\frac{15}{4} x_{2}+\frac{30}{4} x_{3} \end{aligned} \][/tex]

Therefore, the value of h is dependent on the values of x2 and x3 and can be expressed as h = [tex](15/4)x_2 + (30/4)x_3[/tex].

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Qe. For the following arithmetic serles, find: a_(1),d,a_(n),n 1a.27,31,35,dots, 783,a_(1)= d= a_(n)= n^(2)

Answers

For the given arithmetic series, a_(1) = 27, d = 4, a_(n) = 783, n = 190, and n^(2) = 36100.

The given arithmetic series is 27, 31, 35,..., 783.

To find the first term, a_(1), we can simply look at the first term in the series. Therefore, a_(1) = 27.

To find the common difference, d, we can subtract the first term from the second term, or the second term from the third term. Therefore, d = 31 - 27 = 4.

To find the nth term, a_(n), we can use the formula a_(n) = a_(1) + (n - 1)d. We know that a_(1) = 27, d = 4, and a_(n) = 783, so we can plug these values into the formula and solve for n:

783 = 27 + (n - 1)(4)

756 = (n - 1)(4)

189 = n - 1

n = 190

Therefore, the nth term is 190.

To find the value of n^(2), we can simply square the value of n:

n^(2) = 190^(2) = 36100

Therefore, the value of n^(2) is 36100.

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Laura bought 55 shares of stock for $3.50 per share last year. She paid her broker a 1% commission. She sold the stock this week for $2 per share, and paid her broker a $10 flat fee. What were Laura’s net proceeds? Round to the nearest cent.

Answers

Laura's net proceeds were -$94.43. This means that she lost $94.43 on the transaction.

What is the commission?

A commission is a fee or percentage of a sale that is paid to a person or organization for their services in facilitating or completing a transaction. Commissions are commonly used in sales or business settings, where an individual or organization acts as a middleman between a buyer and a seller.

Laura's total cost for buying the stock was:

55 shares x $3.50/share = $192.50

Her broker's commission was 1% of $192.50, which is:

$192.50 x 0.01 = $1.93

So, her total cost including commission was:

$192.50 + $1.93 = $194.43

Her total revenue from selling the stock was:

55 shares x $2/share = $110

Her broker's fee for selling the stock was $10.

So, her total cost for selling the stock was:

$10

Therefore, Laura's net proceeds were:

$110 - $194.43 - $10 = -$94.43

This means that Laura lost money on the transaction.

Hence, Laura's net proceeds were -$94.43. This means that she lost $94.43 on the transaction.

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explain what is meant when a correlation between two variables is
said to be statistically significant ?

Answers

Statistically significant means that the relationship between two variables is likely to be real and not due to chance. If the p-value is lower than the predetermined threshold, usually 0.05, then the correlation is said to be statistically significant.


When a correlation between two variables is said to be statistically significant, it means that the relationship between the two variables is not due to chance or random error. In other words, the relationship is likely to be a real one and not just a coincidence.

Statistical significance is often determined by calculating a p-value, which is the probability of observing a relationship as strong as the one observed if there was no actual relationship between the variables. If the p-value is less than a predetermined threshold, usually 0.05, the relationship is considered to be statistically significant. This means that there is less than a 5% chance that the relationship observed is due to random error.

Therefore, It is usually determined by calculating a p-value, which measures the probability that the relationship between two variables is due to random chance.

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Kobe scored 82 points in a basketball game. That was 1/8 of the points that he scored for the season. How many points did Kobe score in the season

Answers

Kobe scored 656 points in the season.

How to find and what is basketball?

If Kobe scored 82 points in a basketball game and that was 1/8 of the points he scored for the season, we can find the total points he scored in the season by multiplying 82 by 8, since 82 represents 1/8 of the total points:

Total points = 82 x 8

= 656

Therefore, Kobe scored 656 points in the season.

Basketball is a team sport played between two teams of five players each. The objective of the game is to shoot a ball through a hoop or basket that is mounted on a backboard at each end of the court, while also preventing the opposing team from doing the same.

The game is played on a rectangular court with standardized dimensions and various markings, including a center circle, free-throw lines, and three-point lines. Basketball is a fast-paced and physically demanding sport that involves a combination of offensive and defensive skills, including shooting, dribbling, passing, and rebounding.

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