6x-1=-2+9 anyone know the steps for this???

The quantities of planned order releases for item ABC for the first five weeks is given in the table below

\(\begin{array}{|l|r|c|c|c|c|c|c|c|} \text { Period } & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\\text { Gross Requirements } & & 30 & 30 & 60 & 0 & 75 & 70 & \\\text { Scheduled Receipts } & & 60 & & & & & \\ \text { Projected ending inventory } & 0 & 30 & 0 & 0 & 0 & 70 & 0 \\\text { Net Requirement } & & 0 & 0 & 60 & 0 & 75 & 0 & \\ \text { Planned Receipt } & & 0 & 0 & 60 & 0 & 145 & 0 & \\ \text { Planned orders } & & 60 & 0 & 145 & 0 & 0 & 0 \\\end{array}\)

This is further explained below.

Generally, A quality known as quantity or amount may exist in the form of a plurality of magnitude, both of which exhibit discontinuity and continuity, respectively.

Comparisons of quantities may be made using the phrases "greater," "less," or "equal," or they can be made by giving a numerical value that is a multiple of a unit of measurement.

In conclusion, Estimated to be available during week 't'; currently available during week 't-1'+ Gross requirements are equal to the sum of the scheduled receipt and the planned receipt.

\(\begin{array}{|l|r|c|c|c|c|c|c|c|} \text { Period } & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\\text { Gross Requirements } & & 30 & 30 & 60 & 0 & 75 & 70 & \\\text { Scheduled Receipts } & & 60 & & & & & \\ \text { Projected ending inventory } & 0 & 30 & 0 & 0 & 0 & 70 & 0 \\\text { Net Requirement } & & 0 & 0 & 60 & 0 & 75 & 0 & \\ \text { Planned Receipt } & & 0 & 0 & 60 & 0 & 145 & 0 & \\ \text { Planned orders } & & 60 & 0 & 145 & 0 & 0 & 0 \\\end{array}\)

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Complete Question

The clear Version of the complete Question is attached below

Question 30 ch points) Use the following partially completed MRP record to answer the question ITEM: ABC Description Lead Time: 2 weeks 30 3060 What are the quantities of planned order releases for item ABC for the first five weeks (weeks 2. 3. 4. and 5)? 1 0. 30. 60..O olloibo/o 14

The curve described by these parametric equations is the graph of the Cartesian equation: x = 2e^[(1 - y)/5]

To eliminate the parameter t, we need to find a way to express t in terms of x and y, and then substitute that expression into one of the equations to eliminate t.

x(t) = 2e^t

y(t) = 1 - 5t

Let's start by solving the second equation for t:

y = 1 - 5t

Adding 5t to both sides, we get:

5t = 1 - y

Dividing both sides by 5, we get:

t = (1 - y)/5

Now we can substitute this expression for t into the first equation:

x = 2e^t

x = 2e^[(1 - y)/5]

This is the Cartesian equation in terms of x and y. We have eliminated the parameter t and expressed the equation solely in terms of x and y.

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The probability that a sample of size 4 with a sample mean of 28 or lower is taken is given as follows:

0.8849 = 88.49%.

We first must use the z-score formula, as follows:

\(Z = \frac{X - \mu}{\sigma}\)

In which:

The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, and it can be positive(above the mean) or negative(below the mean).

The z-score table is used to obtain the p-value of the z-score, and represents the percentile of the measure represented by X in the distribution.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation given by the equation presented as follows: \(s = \frac{\sigma}{\sqrt{n}}\).

The parameters for this problem are given as follows:

\(\mu = 25, \sigma = 5, n = 4, s = \frac{5}{\sqrt{4}} = 2.5\)

The probability is the p-value of Z when X = 28, hence:

Z = (28 - 25)/2.5

Z = 1.2

Z = 1.2 has a p-value of 0.8849.

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So, the C is correct when calculating a sampling size for large populations.

Additionally, the following terms were given in the student question: Which proportional probability represents the greatest Level of variability? a. 17.9 b. 2./.3 C. .5./.5 d. 27.8 e. 47.6, Judgment sampling is:

a. A non-probability sampling technique b. A probability sampling technique, Reducing the project scope:

a. Will increase project costs

B. Enables researchers to expand the research project

C. Does not require client approval

D. Can affect the sample size

E. Should not be done after the project begins, and Population size is important when:

a. Determining what incentives to use t increase response rates

b. Calculating a sampling size for small populations

C. Calculating a sampling size for large populations

d. Researchers want to reduce the error rate

e. The population standard deviation is high.The proportional probability that represents the greatest level of variability is e. 47.6. In judgment sampling, a is a non-probability sampling technique. Reducing the project scope can affect the sample size, so D is correct. Finally, C is correct when calculating a sampling size for large populations.

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The Composite Trapezoidal rule is used to approximate the given integrals. In part (a), the integral \(\( \int_{1}^{2} x \ln x \, dx \)\) is approximated using \(\( n = 4 \)\)subintervals. In part (b), the integral\(\( \int_{2}^{2} x^{3} e^{x} \, dx \)\) is given with incorrect limits, so it cannot be evaluated.

To approximate \(\( \int_{1}^{2} x \ln x \, dx \)\) using the Composite Trapezoidal rule, we divide the interval \(\([1, 2]\) into \( n = 4 \)\) subintervals. The step size, \(\( h \)\), is calculated as\(\( h = \frac{b-a}{n} = \frac{2-1}{4} = \frac{1}{4} \)\). Then, we evaluate the function \(\( x \ln x \)\)at the endpoints of each subinterval and sum the areas of the trapezoids formed. The approximation formula for the Composite Trapezoidal rule is: \(\[\int_{a}^{b} f(x) \, dx \approx \frac{h}{2} \left[ f(a) + 2\sum_{i=1}^{n-1} f(x_i) + f(b) \right]\]\)

Using this formula, we can calculate the approximation for the given integral. The limits of the integral \(\( \int_{2}^{2} x^{3} e^{x} \, dx \)\) are given as \(\( 2 \)\) to 2 which indicates an interval of zero length. In this case, the integral cannot be evaluated since there is no interval over which to integrate.

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Answer:

19

Step-by-step explanation:

A' represents everything out A

B' represents everything out B

C' represents everything out C

So only the outside is left hope this helps

In the above case, the possible point system will be:

1st choice vote: 4 points

2nd choice vote: 2 points

In arranging for the turtle to win in this point framework, the point values relegated for 1st choice and 2nd choice votes have to be meet the taking after criteria:

Lets say:

1st choice vote: 4 points

2nd choice vote: 2 points

Thus by the use of these point values, the turtle would have the next chance of winning since 1st choice votes would be worth more point (4 point ) compared to 2nd choice votes (3 point ). This would push individuals to select the turtle as their 1st choice, because it would allow the turtle a better add up to point gains and increase its chances of winning.

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The pencil is longer than the pair of scissors by  \(2\frac{7}{8}\) inches.

A pencil measures  \(8\frac{3}{8}\)  inches.

A pair of scissors measures  \(5\frac{1}{2}\)  inches.

We need to find the difference between the measures of a pencil and the scissors.

We see that the pencil measure is greater than the pair of scissors.

A fraction is a part of a whole number. It has two parts - numerator and denominator.

Example: If you cut a cake into three slices each slice is 1/3.

Where 1 = numerator and 3 = denominator.

Four types of fractions:

Unit fraction - when the numerator is 1.

Proper fraction - When the numerator is less than the denominator.

Improper fraction - When the numerator is greater than the denominator.

Mixed fraction - When the fraction contains a whole number with a proper fraction.

Example:  \(3\frac{1}{3}\)

The given measure of the pen and the pair of scissors is in mix fraction.

The pencil measure is longer than the pair of scissors measure so,

We will subtract the measure of the pair of scissors from the measure of the pen.

We have,

       =  \(8\frac{3}{8} - 5\frac{1}{2}\)

We can write the mix fraction into an improper fraction.

We multiply the denominator with the whole number and add this product with the numerator to get our numerator of the improper fraction. The denominator will remain the same as the mix fraction in the improper fraction.

So,

\(8\frac{3}{8}=\frac{(8\times8)+3}{8}=\frac{64 + 3}{8} = \frac{67}{8}\\ 5\frac{1}{2} =\frac{(5\times2)+1}{2}= \frac{(10+1)}{2} = \frac{11}{2}\)

= 67/8 - 11/2

= (67-44) / 8

= 23 / 8

Writing in mix fraction.

=  \(2\frac{7}{8}\)

Thus the pencil is longer than the pair of scissors by  \(2\frac{7}{8}\) inches.

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The is a parallel to b and m is parallel n.

Given that

To find

So, according to the question

We have,

and the value of two angles m∠2 and m∠4.

From diagram we can see a is parallel to b and m is parallel to n.

So, we can say that

   m∠4 = m∠3    { they are vertical congruent angles } and

   m∠3 = m∠2    { they are congruent angles}

∴  m∠4 = m∠2 -------------(1)

Now, putting the values in equation(1)

So, will be get

                m∠4 = m∠2 -------------(1)

              11x+16 = x²+5x

  x²+5x - 11x-16 = 0

         x²- 6x-16 = 0  

    x²-8x+2x-16 = 0  

  x(x-8)+2(x-8) = 0

        (x-8)(x+2) = 0

If               (x+8) = 0

                      x = 8

And if        (x+2) = 0

                      x = -2

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Answer:

x = -3

Step-by-step explanation:

10(x-5) = -80

10x - 50 = -80

10x -50 + 50 = -80 + 50

10x = -30

10x ÷ 10 = -30 ÷ 10

x = -3

Answer:

No

Step-by-step explanation:

It is an infinite decimal. Rational numbers in decimal form stop eventually, and can be written as fractions.

Example: 5 is a rational number because it can be written as 5/1

The house was in the shape of an octagon, with eight separate bedrooms on each side.

The house described in the statement has an octagonal shape. An octagon is a polygon with eight sides, characterized by its eight equal angles. In this case, each side of the house corresponds to one of these angles, resulting in eight separate bedrooms on each side of the octagonal structure.

The choice of an octagon as the shape of the house can have various implications. Octagonal buildings are often admired for their unique architectural design and aesthetic appeal. The shape provides symmetry and balance, allowing for an interesting and visually pleasing structure. Additionally, an octagonal layout can offer practical advantages in terms of space utilization and room distribution. In the case of the house described, each side of the octagon accommodates a separate bedroom, providing privacy and ample living space for its occupants. The symmetrical arrangement of the bedrooms around the central area of the house could create a harmonious and well-organized living environment. Overall, the octagonal shape of the house with eight separate bedrooms on each side offers both architectural and functional benefits.

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An equation that can be used to determine the number of hours, h, that Moira needs to read to finish the book is h + 178 = 214.

In order to write an equation that model this situation, we would assign a variable to the number of hours that is needed to read to finish the book and the total number of hours respectively, and then translate the word problem into algebraic equation as follows:

Next, we would translate the word problem into an algebraic equation based on the fact that she read for 178 hours yesterday as follows;

h + 178 = T

Substituting the given parameters into the algebraic equation, we have the following;

h + 178 = 214

Solving for h, we have the following;

h = 214 - 178

h = 36 hours.

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The quadratic function that has x-intercepts at x = 3, and x = -5 that

passes through the point (1, -12) is f(x) = x² + 2·x - 15.

The intercepts of the graph of the quadratic function are x = 3 and x = -5

The point through which graph passes is (1, -12)

Required:

The equation of the quadratic function.

Solution:

Given that the intercepts are x = 3, and x = -5, we have;

x = 3, and x = -5 are the zeros of the quadratic function, which gives;

Factors of the quadratic function are; (x - 3) and (x + 5)

From which we have;

(x - 3) × (x + 5) = x² + 2·x - 15 is a factor of the quadratic function

When x = 1, we have;

1² + 2 × 1 - 15 = -12

Therefore, the point (1, -12) is a point on the quadratic function x² + 2·x -

15 that has intercepts at x = 3, and x = -5

The equation of the quadratic function is therefore;

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The temperature (in degrees Fahrenheit) at a certain city can be approximated by the function T(t) = 70 + 19sin(12πt), where t represents the time in hours after 9 am.

To determine the temperature at 9 am, we substitute t = 0 into the function T(t):

T(0) = 70 + 19sin(12π*0) = 70 + 0 = 70 degrees Fahrenheit.

To find the temperature at 3 pm, we substitute t = 6 into the function:

T(6) = 70 + 19sin(12π*6) = 70 + 19sin(72π) ≈ 70 - 19 = 51 degrees Fahrenheit.

To calculate the average temperature during the period from 9 am to 9 pm, we need to evaluate the integral of T(t) over that interval and divide it by the length of the interval (12 hours). However, since the function T(t) is periodic with a period of 12/π, the average value of T(t) over any interval of length 12/π will be equal to the average value of T(t) over the interval from 0 to 12/π.

The average value of T(t) over the interval from 0 to 12/π can be found by integrating T(t) over that interval and dividing it by the length of the interval:

Average temperature = (1/(12/π)) * ∫[0, 12/π] (70 + 19sin(12πt)) dt.

Evaluating this integral will give us the average temperature during the period from 9 am to 9 pm.

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To determine the temperature at 9 am, we substitute t = 0 into the function: T(0) = 70 + 19sin(0) = 70. Therefore, the temperature at 9 am is 70 degrees Fahrenheit.

To find the temperature at 3 pm, we substitute t = 6 into the function: T(6) = 70 + 19sin(12π(6)) = 70 + 19sin(72π) ≈ 70 degrees Fahrenheit. Please note that the exact value depends on the value of sin(72π), which may vary depending on the specific calculator or software used.

To find the average temperature during the period from 9 am to 9 pm, we need to calculate the average of the function T(t) over that time interval. Since there are 12 hours from 9 am to 9 pm, we integrate T(t) from t = 0 to t = 12 and divide by 12:

(1/12)∫[0 to 12] (70 + 19sin(12πt)) dt.

Evaluating this integral will give us the average temperature during that period.

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The values of x, y and z are 4, 1 and - 6 respectively.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

A system of equations is a set of one or more equations involving a number of variables. The solutions to systems of equations are the variable mappings such that all component equations are satisfied

We have the following equations -

8x + y + 4z = 9

4x - 3y + z = 7

8x - 4y + 5z = - 2

We have -

4x - 3y + z = 7

z = 7 - 4x + 3y

We can write -

8x + y + 4z = 9

as -

8x + y + 4(7 - 4x + 3y) = 9

8x + y + 28 - 16x + 12y = 9               ...Eq[1]

and we can write -

8x - 4y + 5z = - 2

8x - 4y + 5(7 - 4x + 3y) = -2

8x - 4y + 35 - 20x + 15y = - 2         ...Eq[2]

Plot the graph of equation [1] and [2]. We will will get -

x = 4

y = 1

Now -

z = 7 - 4x + 3y

z = 7 - 16 + 3

z = - 6

Therefore, the values of x, y and z are 4, 1 and - 6 respectively.

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Answer

Step-by-step explanation:

1. 9.2

2.4.1

3.9.2

4.43.3

Answer:

1. r= 4.6 in, d= 4.6×2=9.3in

2. d= 8.2 cm, r= 8.2/2=4.1cm

3. d= 18.4 ft, r= 18.4/2=9.2ft

4. r= 21.65 yds, d=21.65×2=43.3yds

Answer:

8 units

Step-by-step explanation:

order of points on line =P Q R S

total length from P to S =27

PR=19

subtracting the two will give RS=8

I have done this question before and in all variants RS = QR. I don't know if that has been left out of the question.

in which case the answer would be 8

please give brainliest.

Step-by-step explanation:

20 gallons of gasoline

gas is $ 2.50 per gallons

2.50 × 20

{(2×2)(0×.5)(0)}

domain=200

range=2.5

The radius of convergence of the given function is ∑ t⁷ⁿ⁺¹/7n+2.

What is radius of convergence?

The radius of convergence of an influence series is that the radius of the most important disk at the middle of the series during which the series converges. it's either a non-negative complex number or ∞ .

Main body:

\(\int\li {t/1-t^{7} } \, dx\)

here we will use power series representation of intergrand in order to determine the given indefinite integral.

1/1-a = 1+a +a²+a³ +.....∑aⁿ

it is only valid when |a| <1.

\(\int\ {t^{n} } \, dt = t^{n+1} / n+1 +C\)

where CC = constant of integration,

I = \(\int\ {t/(1-t^{7}) } \, dt\)

1/1-t⁷ = 1+ t⁷ +t¹⁴ +.....+∑t⁷ⁿ

only valid when |t⁷| <1 = |t| <1

t/1-t⁷ = t (1+t⁷+t¹⁴b+....)  = ∑t⁷ⁿ⁺¹

\(\int\ {t/1-t^7} \, dt =\)∑ t⁷ⁿ⁺¹/7n+2 +C

Hence ,radius of convergence of the given function is ∑ t⁷ⁿ⁺¹/7n+2.

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Answer:

5x+3y-1475=0

Step-by-step explanation:

if this helps please mark brainliest <3

Given the following System of Inequalities:

You need to remember that the Slope-Intercept form of the equation of a line is:

Where "m" is the slope and "b" is the y-intercept.

The steps to graph the System of Inequalities are:

1. In this case, you know that the first line is:

So you need to solve for "y" in order to write it in Slope-Intercept form:

You can identify that the y-intercept is:

2. Since the value of "y" is zero when the line intersects the x-axis, you can substitute that value into the equation and solve for "x", in order to find the x-intercept:

3. Now you know that the first line passes through these points:

4. The second line is:

So you can solve for "y" in order to write it in Slope-Intercept form:

Notice that the y-intercept is:

5. Knowing that "y" is zero when the line intersects the x-axis, you can substitute that value into the equation of the second line and solve for "x" to find the x-intercept:

The sequence {an} = {\(8n^4 + n + 1\)} is not convergent. It diverges to infinity as n approaches infinity.

To determine whether the sequence {an} = {\(8n^4 + n + 1\)} is convergent, we need to examine the behavior of the terms as n approaches infinity.

The sequence {an} is said to be convergent if there exists a real number L such that the terms of the sequence get arbitrarily close to L as n approaches infinity.

To investigate convergence, we can calculate the limit of the sequence as n approaches infinity.

lim(n→∞) \((8n^4 + n + 1)\)

To evaluate this limit, we can look at the highest power of n in the sequence, which is \(n^4.\) As n approaches infinity, the other terms (n and 1) become insignificant compared to n^4.

Taking the limit as n approaches infinity:

lim(n→∞) \(8n^4 + n + 1\)

= lim(n→∞) \(8n^4\)

Here, we can clearly see that the limit goes to infinity as n approaches infinity.

Therefore, the sequence {an} = {\(8n^4 + n + 1\)} is not convergent. It diverges to infinity as n approaches infinity.

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Therefore, when Savannah is 42 feet above the ferris wheel's horizontal diameter, her angle of rotation is approximately 68.6 degrees.

Given by the question.

Let's first draw a diagram to visualize the situation.

      *

    *    *

  *        * <-- Ferris wheel at 3 o'clock position

 *          *

*            * <-- Highest point

*______________*______

      62 ft

The Ferris wheel is a circle with radius 62 feet, and Savannah is sitting in a bucket that moves along the circle. When she is at the highest point, she is 62 feet away from the center of the circle, and when she is on the horizontal diameter, she is 62 feet - 42 feet = 20 feet away from the center of the circle.

To find Savannah's angle of rotation, we can use the cosine function.

cos(theta) = adjacent / hypotenuse

In this case, the adjacent side is 20 feet, and the hypotenuse is 62 feet.

cos(theta) = 20/62

To solve for theta, we need to take the inverse cosine of both sides.

theta = cos^-1(20/62)

Using a calculator, we get:

theta = 68.6 degrees

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The amount of HCL needed to make a solution with 100g of water saturated at 60 degrees C is 55 g.

option B.

The solubility of HCl in water increases with temperature. At 60°C, the solubility of HCl in water is approximately 45 g/100g of water. This means that at 60°C, 100g of water can dissolve up to 45g of HCl.

Therefore, to make a saturated solution of HCl at 60°C using 100g of water, you would need to add 45g of HCl.

100 g - 45 g = 55 g

So, the answer is B. 55g of HCl is more than what is needed to saturate the solution, and 27.5g of HCl would not be enough to fully saturate the solution.

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Given Information :Company ABC recently paid a dividend of $1.

You currently believe that the probability ABC will increase the dividend to $2 next year is 20%. You also believe that the probability the economy has expanded if the dividend is $2 is 70% and the probability the economy has expanded if the dividend remains at $1 is 10%.Task: To find the probability that the dividend is $2 if the economy expands. Solution: Let's use Bayes Theorem for solving the above problem.

Where A = Probability of getting dividend $2B = Probability of economy has expanded

P(A) = 0.2 (Probability of ABC will increase the dividend to $2 next year is 20%)P(B/A) = 0.7

(Probability the economy has expanded if the dividend is $2 is 70%)

P(B/¬A) = 0.1 (Probability the economy has expanded if the dividend remains at $1 is 10%),

P(¬A) = 1 - P(A) = 1 - 0.2 = 0.8Bayes Theorem is:

P(A/B) = P(B/A) * P(A) / [P(B/A) * P(A)] + [P(B/¬A) * P(¬A)],

P(A/B) = (0.7 * 0.2) / [(0.7 * 0.2) + (0.1 * 0.8)]P(A/B) = 0.093 / 0.16P

(A/B) = 0.58125,

The probability that the dividend is $2 if the economy expands is 0.58125 (approximately 58.1%).Hence, the required probability is more than 100 words.

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The value of \(\int\limit 2 0 {\frac{x}{x+1} } \, dx\)  is  0.7088.

Determine the width of each subinterval. Since n = 5, the interval (2 to 0) will be divided into 5 equal subintervals. Thus, each subinterval has a width of .

\(\frac{(2-0)}{5} = 0.4\)

Calculate the midpoint of each subinterval. The midpoints can be found by adding half of the subinterval width to the left endpoint of each subinterval. The midpoints for the 5 subintervals are:

\(Midpoint 1: 0 + \frac{0.4}{2} = 0.2\)

\(Midpoint 0: 0.2 + \frac{0.4}{2} = 0.4\)

\(Midpoint 3: 0.4 + \frac{0.4}{2} = 0.6\)

\(Midpoint 4: 0.6 + \frac{0.4}{2} = 0.8\)

\(Midpoint 5: 0.8 + \frac{0.4}{2} = 1.0\)

Evaluate the function at each midpoint. Substitute each midpoint value into the function \(\frac{x}{x+1}\) and calculate the corresponding function value. The function values at the midpoints are:

\(f(0.2) = \frac{0.2}{0.2+1} = \frac{0.2}{1.2} = 0.1667\)

\(f(0.4) = \frac{0.4}{0.4+1} = \frac{0.4}{1.4} = 0.2857\)

\(f(0.6) = \frac{0.6}{0.6+1} = \frac{0.6}{1.6} = 0.3750\)

\(f(0.8) = \frac{0.8}{0.8+1} = \frac{0.8}{1.8} = 0.4444\)

\(f(1.0) = \frac{1.0}{1.0+1} = \frac{1.0}{2.0} = 0.5000\)

Multiply each function value by the width of the subinterval. Multiply each function value obtained in step 3 by the width of the subinterval (0.4) to get the areas of the rectangles corresponding to each subinterval:

Area 1: 0.1667 (0.4) = 0.0667

Area 2: 0.2857  (0.4) = 0.1143

Area 3: 0.3750 (0.4) = 0.1500

Area 4: 0.4444 (0.4) = 0.1778

Area 5: 0.5000 ( 0.4) = 0.2000

Sum up the areas of the rectangles. Add up the areas obtained in step 4 to get the approximate value of the integral:

Approximate integral = Area 1 + Area 2 + Area 3 + Area 4 + Area 5

= 0.0667 + 0.1143 + 0.1500 + 0.1778 + 0.2000

= 0.7088

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The value of k given sequence is =300 and the value of the term Sk=4875,

In mathematics, we may come across different types of numbers, and patterns. One of the number patterns includes sequences. The sequence is a specified collection of objects in which repetitions are allowed and order matters. Formally, a sequence is a function from natural numbers to the elements at each position. Similar to a set, it contains members, and they are called elements or terms. The number of elements is called the length of the sequence. Unlike a set, the same elements can appear multiple times at different positions in a sequence, and the order does matter.

value of k

U1 =1.3

U2= 1.4

Uk = 31.2

a = 1.3

d = 1.4 - 1.3 = 0.1

Uk = 1.3 + (k - 1)(0.1)

=> 1.3 + (k - 1)(0.1) = 31.2

=>  (k - 1)(0.1) = 29.9

=> k - 1 = 299

=> k = 300

Sk  = (300/2)(1.3 + 31.2)

= 150 * (32.5)

= 4875

F is the sum of the terms for which the term is not a multiple of 3

3rd term = 1.5

6th term = 1.8

300th term = 31.2

Total terms = 100

Sum = (100/2)(1.5 + 31.2)  =  1635

F = 4875 - 1635   = 3240

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