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Answer:mass CO2 = (mass AS) - (final mass)

Step-by-step explanation:

Given:

The equation of a circle is

[tex]x^2+y^2=169[/tex]

A tangent line l to the circle touches the circle at point P(12,5).

To find:

The gradient of the line l.

Solution:

Slope formula: If a line passes through two points, then the slope of the line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Endpoints of the radius are O(0,0) and P(12,5). So, the slope of radius is

[tex]m_1=\dfrac{5-0}{12-0}[/tex]

[tex]m_1=\dfrac{5}{12}[/tex]

We know that, the radius of a circle is always perpendicular to the tangent at the point of tangency.

Product of slopes of two perpendicular lines is always -1.

Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.

[tex]m\times m_1=-1[/tex]

[tex]m\times \dfrac{5}{12}=-1[/tex]

[tex]m=-\dfrac{12}{5}[/tex]

Therefore, the gradient or slope of the tangent line l is [tex]-\dfrac{12}{5}[/tex] .

Answer:

4x^3+2x^2+2x

Step-by-step explanation:

The difference of the two polynomials, is: f(x) - g(x) = 4x³ + 2x² + 2x

To subtract one polynomial from another, take like terms together.

Given the polynomials:

f(x) = 9x³ + 2x² - 5x + 4 and g(x) = 5x³ - 7x + 4

Find f(x) - g(x):

(9x³ + 2x² - 5x + 4 ) - (5x³ - 7x + 4)

Open the bracket

9x³ + 2x² - 5x + 4 - 5x³ + 7x - 4

Combine like terms together

4x³ + 2x² + 2x

Therefore, the subtraction of the two polynomials, is: f(x) - g(x) = 4x³ + 2x² + 2x

Learn more about polynomials on:

https://brainly.com/question/2833285

Answer:

10 students didnt turn in work

Step-by-step explanation:

10. its like saying 100 divided by 25

20:50 or if you have to add it 70

Answer:

24.16

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Answer:

брате, заткнись, блядь, знай, хтось дбає про твої дивні тли

Step-by-step explanation:

Answer:

Markup: 2.925

Selling price: $41.925

Step-by-step explanation:

Answer:

First one is 2. The second one is 5.

Step-by-step explanation:

Answer:

1/7

Step-by-step explanation:

Answer:

X axis is on the left of the Coordinates (x,y) and Y axis is on te right

X goes sideways

Y goes Vertical

Step-by-step explanation:

Answer:

p=4x^3−3x^2+5x−2/x

Step-by-step explanation:

Let's solve for p.

px=4x^3−3x^2+5x−2

Step 1: Divide both sides by x.

px/x=4x^3−3x^2+5x−2/x

p=4x^3−3x^2+5x−2/x

Answer:

p=4x^3−3x^2+5x−2/x

( I hope this was helpful) >;D

Answer:

(b³+11b²+24)ft³

Step-by-step explanation:

Volume of the rectangular prism = Length * Width * Height

Given the dimension

Length = b+8 ft

Width = b ft

Height = (b+3)ft

Volume of the rectangular prism = b(b+8)(b+3)

Volume of the rectangular prism = b(b^2+3b+8b+24)

Volume of the rectangular prism = b(b^2+11b+24)

Volume of the rectangular prism = b(b^2)+b(11b)+1(24)

Volume of the rectangular prism = b^3+11b^2+24

Hence the Volume of the rectangular prism is (b³+11b²+24)ft³

Answer:

1 and 6 (alternate exterior angle)

2 and 5(corresponding angle)

4 and 5(co interior angle)

3 and 5(alternate interior angle)

Answer: a

Step-by-step explanation:

Answer:

-3.5x - 31.5

Step-by-step explanation:

-3.5(x+9)

= -3.5x + -3.5(9)

= -3.5x - 31.5

Answer:

Line a and Line b are parallel. The slopes are equal

Line b is perpendicular to line c. The slopes are different

Step-by-step explanation:

The standard form of an equation is y =- mx+C

m is the slope

Two lines are parallel if they have the same slope and perpendicular if the product of their slope is -1

For Line a: 4x-3y = 2

Rewrite

-3y = -4x+2

y = 4/3 x - 2/3

Slope of line a is 4/3

Line b: y = 4/3x + 2

mx = 4/3x

m = 4/3

slope of line b is 4/3

Line c = 4y+3x = 4

4y = -3x + 4

y = -3/4 x + 1

Slope of line c is -4/3

Since line a and b have the same slope, they arer parallel

mb * mc = 4/3 * -3/4

mb*mc = -1

Since the product of slope of line b and c is -1, they are perpendiclar

Answer:

3 and 8

Step-by-step explanation:

3 and 8 are the only numbers that have a variable, or the letter beside it

Rewrite 3/4 to have the same denominator as 1/8.

3/4 = 6/8

Now you have 1/8 + 6/8 = 7/8

The answer is 7/8

Step-by-step explanation:

ES6 has a new Set data structure for storing sets of unique objects. However it is based on object references as opposed to value comparisons. As far as I can tell this makes it impossible to have a set of pairs of numbers without stringifying.

For example, typing in Chrome's console (needs Chrome 38+):

> var s = new Set(); < undefined > s.add([2, 3]); < Set {[2, 3]} > s.has([2, 3]) < false <--- was hoping for 'true'

This appears to be by design: since I passed a different array of [2, 3] to has(), it returns false, because although the contents is the same it only looks at object references, and I allocated a new and different array to pass to has(). I would need to store a reference to the original array I passed to add() to check with has(), but this is not always possible. For example if the number pairs represent co-ordinates, I might need to check if the set has [obj.x, obj.y], but this will always return false since it allocates a new array.

The workaround is to stringify the arrays and key on strings like "2, 3" instead. However in something performance-sensitive like a game engine, it is unfortunate if every set access needs to make a string allocation and convert and concatenate number strings.

Does ES6 provide any feature to solve this problem without stringifying, or is there any feature on the horizon with ES7 that could help as well?

javascriptperformancedata-structuressetecmascript-6

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asked Sep 21 '14 at 13:06



AshleysBrain

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3 Answers

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As you've noted [2, 3] === [2, 3] is false, meaning you can't use Set like this; however, is Set really the best option for you?

You may find that using a two-level data structure like this will be better for you

var o = {}; function add(o, x, y) { if (!o[x]) o[x] = {}; o[x][y] = true; } function has(o, x, y) { return !!(o[x] && o[x][y]); } function del(o, x, y) { if (!o[x]) return; delete o[x][y]; // maybe delete `o[x]` if keys.length === 0

Answer:

total area is bottom rectangle area+ upper rectangle area + two triangles.

whole area.

(24x19) + (13x9) +(24x13) =885

area of trapezoid

whole area - bottom rectangle

885-(24x19) = 429

Answer:

90 inches

Step-by-step explanation: 7 feet*12 inches= 84 and .5 feet*12 inches= 6.

84 inches+ 6inches=90inches

Answer: 1.2ft × 12

= 14.4"

Step-by-step explanation:

GIVE ME DA BRAINS

Answer:

12^2 = 144 and 13^2 = 169

So, the answer is 12 and 13

Step-by-step explanation: