What is the second number in the sequence?

Answer:

  x +2y +4z = 27

Step-by-step explanation:

The parallel plane will have the same coefficients of x, y, z as the given plane. We notice those have a common factor of 2, so the equation can be reduced to ...

  x +2y +4z = constant

This equation is satisfied for every point on the line, so we have ...

  (3 +2t) +2(t) +4(6 -t) = constant . . . . . substituting for x, y, z

  3 +2t +2t +24 -4t = constant

  27 = constant

The equation of the desired plane is ...

  x +2y +4z = 27

The normal to the given plane is (2, 4, 8), and the plane we want is parallel to this one so it has the same normal vector.

When t = 0, the given line, and thus the plane we want, passes through the point (3, 0, 6).

Then the equation of the plane is given by

(2, 4, 8) • (x - 3, y - 0, z - 6) = 0

2 (x - 3) + 4y + 8 (z - 6) = 0

2x + 4y + 8z = 54

or

x + 2y + 4z = 27

The completed table showing Bianca Ramos's tax deduction and NET PAY

is presented as follows;

SOCIAL SECURITY SYSTEM = Php 1,147

MEDICARE (PHILHEALTH) = Php 268.25

PAGIBIG (FUND) = Php 370

BIR (WITHHOLDING TAX) = Php 5,509.19

Total deductions = Php 7,294.44

NET PAY = Php 11,205.56

Reasons:

Based on online search, the tax rate for the items on the table are as follows;

SOCIAL SECURITY SYSTEM = 6.20% of earnings

MEDICARE (PHILHEALTH) = 1.45% of earnings

PAGIBID (FUND) = 2% of salary

BIR (WITHOLDING TAX) = P1,342.47 + 32% over P5,479

Bianca Ramos's basic salary = 18,500.00

Which gives the deduction amount as follows;

SOCIAL SECURITY SYSTEM = 0.062 × 18,500.00 = 1,147

MEDICARE (PHILHEALTH) = 0.0145 × 18,500.00 = 268.25

PAGIBIG (FUND) = 0.02 × 18,500.00 = 370

BIR (WITHHOLDING TAX) = 1,342.47 + 0.32×(18,500 - 5,479) = 5,509.19

Total deductions = 1,147 + 268.25 + 370 + 5,509.19 = 7,294.44

NET PAY = 18,500 - 7,294.44 = 11,205.56

Her net pay = Php 11,205.56

Learn more about tax systems here:

https://brainly.com/question/8434128

OD Step-by-step explanation:

The median of the of the number of newspapers sold by shopkeeper is 202 .

Given,

A store manager kept track of the number of newspapers sold each week over a seven-week period.

81 71 202 113 269 248 242.

Now,

The median of the dataset is the middle value of the dataset, which means that 50 % of the values are below the mean and 50% of the values are above the mean.

Rearrange the dataset in ascending order as

71, 81, 113, 202, 242, 248, 269.

Thus the median will be the 4th value.

Hence the median will be 202.

Thus the correct option will be 202 Newspapers.

Know more about median,

https://brainly.com/question/300591

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Answer:

6:4:3

Step-by-step explanation:

each can be divided by 7

Answer:

6 4 3

Step-by-step explanation:

Answer:

C? yikes if im wrong mb

Step-by-step explanation:

5/6 in simpliest, its C id have to assume

Answer:

10

Step-by-step explanation:

5+5=10

each hand has five fingers so if you count all of the fingers on both hands, you will get 10

Answer:

-10 degrees Celsius

Step-by-step explanation:

The more negative a temperature in degrees Celsius is, the colder it is.

Answer:

Step-by-step explanation:

d = √((9 -(-2))² + (5 - 2)²)

d = √(11² + 3²)

d = √130

d = 11.401754250...

d = 11.4 units

Answer:

11.4 to the nearest tenth.

Step-by-step explanation:

Distance = sqrt((5-2)^2 + (9-(-2))^2)

= sqrt(3^2 + 11^2)

= sqrt 130

= 11.402

Answer:

1, 3, 7

Step-by-step explanation:

4t + 6≤10

4t≤4

t≤1

Therefore, t can either be equal to or greater than 1.

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

Answer:

[tex]y\geq-5[/tex]

Step-by-step explanation:

Because [tex]x+5[/tex] cannot be negative, then [tex]x=-5[/tex] has to be the absolute minimum of the function given its domain. Therefore, all real values of x greater than -5 are all values that exist in the function's range.

Answer:

In terms of %, it's 20%.

Step-by-step explanation:

Used an ROI calculator:

okay. first you must get the properties of a triangle. all three angles are 180 degrees in total. the angle of a straight line is also 180 degrees. both the triangle and the straight line shares the same angle ACB. so you can conclude that 5x-35 = 2x+58

-2x from both sides and 3x-35= 58

so 3x = 58+ 35= 93

x= 31

ABC = 31x2 = 62

BCA = 180-58-62= 60 degrees

please give me brailiest . thanks!

Answer:

x =31°

ABC is 62°

BCA IS 60°

I HOPE THIS IS HELPING

Answer:

Step-by-step explanation:

This is the equation. Read it carefully.

1/2 * 1/7 T = 1/3 * 1/5 * 90   Reduce

(1/14) * T = 1/15 * 90

1/15 * 90 = 6

(1/14)*T = 6                          Multiply both sides by 14

T = 14 * 6

T = 84

Answer:

y is 1

Step-by-step explanation:

6+1=7, so 7 is = to 6+1

Answer:

B

Step-by-step explanation:

The Width of the Rectangle (read Polygon) is 8 units and the Length of the Rectangle is 12 units.

The area of the polygon is 96 square units. Therefore, the correct answer is option C.

From the given graph, we have polygon ABCD.

From the graph, we have AB=DC=12 units and BC=AD=8 units.

Here, the given polygon is rectangle.

Area of a rectangle = Length×Breadth

Now, area of a rectangle = 12×8

= 96 square units

Perimeter of a rectangle = 2(Length+Breadth)

= 2(12+8)

= 2(20)

= 40 units

Therefore, the correct answer is option C.

To learn more about the area of a rectangle visit:

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Answer:

D

Step-by-step explanation:

5m^3 n^5 (25m^6 n)

-->5m^3*25n^6m^6

-->125m^9 n^6

this answer is 9% it is bigger than 0.5

Answer:

a=0.62, b=7/9, c=10/9

Step-by-step explanation:

Brainliest would be appreciated

Answer:

B, if its not b then its C.

Step-by-step explanation: hope this is correct and helps you!

Answer:

67 quarters

Explanation:

Answer:

All of them are composite

Step-by-step explanation:

In math, composite numbers can be defined as the whole numbers that have more than two factors. Whole numbers that are not prime are composite numbers, because they are divisible by more than two numbers.

Answer:

I don't have any idea of that question

Step-by-step explanation:

I'm sorry

Mr. Hickory needs to charge more than $60 for each tree in order to make a profit of at least $2500

Let x represent the amount of money charge for each tree.

The cost of growing the trees is $2300.

The revenue = 80x

Profit = Revenue - cost

Hence, to make a profit of at least $2500:

80x - 2300 ≥ 2500

80x ≥ 4800

x ≥ 60

Mr. Hickory needs to charge more than $60 for each tree in order to make a profit of at least $2500.

Find out more on profit at: https://brainly.com/question/1078746

Answer:

-5

Step-by-step explanation:

We use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

    = ( 7-2)/(5-6)

    = 5/-1

    = -5

Answer:

the data that is shown represents a function

Step-by-step explanation:

the easiest way to know is by looking at the x-variable. Each y-variable needs one x-variable. the x-variable should not be seen paired with another y-variable.

Hey there!

The expression 26-(-17) can be rewritten as

26+17

Remember:

Hope it helps. Use the comment section to clarify your doubts.

Answered by

~A felicitous teen who is preparing for the New Year's Day

Good luck. :-)

Answer:

40

Step-by-step explanation:

Calculator.

Answer:

your answer should equal to 40

Step-by-step explanation:

hope its right!

Slope = change in y / change in x

Slope = (2-1)/(3 - -1)

Slope = 1/4