What Is The Recursive Rule For The Sequence? 1.2, 0.4, -0.4, – 1.2, -2,

Answer:

This is an Application of Boyle's Law.

Step-by-step explanation:

The relationship between the Pressure and Volume have been made available and is given as ;

P =k/v

Simply making k(constant) subject...

K =PV (With this, we can conclude that :

P₁V₁ = P₂V₂

150 x 4 = P₂ x 3

P₂ = 150 x 4/(3)

P =200kPa

Now, This is all math.

But what really happened?

Pay attention.

The relationship between Pressure and Volume according to Robert Boyle in his Law, as stated in the question is P = k/v

This is an inverse relationship.

simply interpreted, It reads " When pressure increases by a certain factor, Volume decreases by that factor". This is the concept behind inverse relationships.

So from the question, Volume decreased from 4ML to 3L.

Initial Pressure was 150kPa.

According to Boyle, Pressure has to increase by 4/3

Therefore, New pressure is undoubtedly 150 x 4/3 = 200kPa

Have a splendid day.

The area of a 2D form is the amount of space within its perimeter.  The area of the rectangular field is 9,219.07 m².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

At the end of the rectangular field, two semi-circles are used whose diameter is 62 meters, therefore, the radius of the circle is 31 meters(half of the diameter). The area of the semicircle can be written as,

[tex]\text{Area of 2 semicircles} = 2 \times \dfrac{\pi r^2}{2} = \pi r^2[/tex]

Area of 2 semicircles =  π(r²) =π × (31²) = 3,019.07 m²

The area of the rectangle is the product of its length and its breadth. Therefore, the area of the rectangle will be,

Area of the rectangle = 100 × 62 =6,200 m²

Now, the area of the rectangular field is the sum of the area of the 2 semi-circles and the rectangle.

Area of the rectangular field= Area of the rectangle + Area of the Semi-circle

Area of the figure= 3,019.07 + 6200 = 9,219.07 m²

Hence, the area of the rectangular field is 9,219.07 m².

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quaddale dingle said hey, whats up

Answer:

Step-by-step explanation:

x² - 2x + 5 = 0

x² - 2x = -5

x² - 2x + 1 = -5 + 1

(x - 1)² = -4

(x - 1) = ±2i

Answer:

they are really different

Answer:

  1/6x -1

Step-by-step explanation:

"Simplify" generally means, "eliminate parentheses and combine like terms." In general, parentheses are eliminated by making use of the distributive property.

__

  [tex]\dfrac{2}{3}x-\left(\dfrac{1}{2}x+1\right)=\dfrac{2}{3}x-\dfrac{1}{2}x-1=\left(\dfrac{2}{3}-\dfrac{1}{2}\right)x-1\\\\=\left(\dfrac{4}{6}-\dfrac{3}{6}\right)x-1=\boxed{\dfrac{1}{6}x-1}[/tex]

Answer:

(x +2y ) ( 2x-3y)

= 2x² + 4xy -3xy -6y²

= 2x² +xy -6y²

Step-by-step explanation:

2x^2 +xy-6y is the answer

fixed cost= $8

cost= $4.50

payed= $50

recieved= $10.50

how many days Hannah rented the bike.

let the unknown be ( x )

[tex]x = 50 - (10.50 + 8)[/tex]

[tex]x = 50 - 18.50[/tex]

[tex]x = 13.50[/tex]

[tex]x = \frac{13.50}{4.50} [/tex]

[tex]x = 7[/tex]

hence, Hannah rented the bike for 7 days.

Answer:

B

Step-by-step explanation:

Let's take a look at each statement.

A: ∠1 ≅ ∠8

Angle 1 is congruent to angle 8.

If lines are parallel then angle 1 and angle 8 would be same side (consecutive) exterior angles which are supplementary and not congruent.

Therefore this statement would prove that the lines are not parallel.

B: ∠1 ≅ ∠7

Angle 1 is congruent to angle 7.

If lines are parallel then angle 1 and angle 7 would be alternate exterior angles which are congruent.

This statement proves that the lines are parallel. We have angle 1 that is at line AB and angle 7 which is at line CD. It's important that one angle is at one line and the second angle at the other line, otherwise we cannot prove that the lines are parallel.

C: ∠6 ≅ ∠8

Angle 6 is congruent to angle 8.

Angles 6 and 8 are vertical angles and they are congruent.

This statement is correct but it doesn't tell us anything about the relationship of angles at the other line, therefore it proves nothing.

D: ∠1 and ∠2 are supplementary.

Angles 1 and 2 create a linear pair, therefore they are supplementary.

This statement is also correct but again it tells us nothing about the angles at the other line so it again proves nothing.

THIS ONE I CANT FIGURE OUT SORRY :C

[tex]\\ \rm\Rrightarrow (f+g)(x)[/tex]

[tex]\\ \rm\Rrightarrow f(x)+g(x)[/tex]

[tex]\\ \rm\Rrightarrow x^2-4x+6+2x^2+2x-5[/tex]

[tex]\\ \rm\Rrightarrow 3x^2-2x+1[/tex]

Done!

Answer:

[tex](f+g)(x)=3x^2-2x+1[/tex]

Step-by-step explanation:

[tex]\begin{aligned}\textsf{Given functions}: \quad f(x) &=x^2-4x+6\\g(x) &=2x^2+2x-5\\\end{aligned}[/tex]

[tex]\begin{aligned}(f+g)(x) & =f(x)+g(x)\\& =(x^2-4x+6)+(2x^2+2x-5)\\& =x^2-4x+6+2x^2+2x-5\\& =x^2+2x^2-4x+2x+6-5\\& =3x^2-2x+1\end{aligned}[/tex]

Answers:

Domain:  [tex](-\infty, 5)[/tex]

Range:  [tex][-3, \infty)[/tex]

Both are in interval notation. There's a square bracket next to the -3, and everything else is a curved parenthesis.

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

Explanation:

The domain is the set of allowed x input values of a function. We have a hole at x = 5, so this value is not allowed in the domain. But we can use anything smaller than this. The domain as an inequality is [tex]x < 5[/tex] which is the same as writing [tex]-\infty < x < 5[/tex] and that directly translates to the interval notation of [tex](-\infty, 5)[/tex]

The curved parenthesis say "exclude this endpoint". The domain is anything between negative infinity to 5, excluding both endpoints.

----------------------

The range is the set of possible y outputs of a function.

The lowest the function goes is at y = -3. The arrow indicates it goes up forever, meaning that the range as an inequality is [tex]y \ge -3[/tex] which is the same as [tex]-3 \le y[/tex] and the same as [tex]-3 \le y < \infty[/tex]

Then that directly turns into the interval notation of [tex][-3, \infty)[/tex]

We have a square bracket at -3 to include this endpoint. We can't ever reach infinity, so we of course can't include this endpoint. Always use parenthesis for either infinity.

If the volume and height of the cylinder are 48.2304 cubic m and 6.4. Then the radius of the cylinder will be 1.55 m.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

The volume of the cylinder is 48.2304 cubic m.

And the height of the cylinder is 6.4 m.

Then the radius of the cylinder will be

The volume of the cylinder is given as

Volume = πr²h

48.2304 = π × r² × 6.4

          r² = 2.3988

           r = 1.5488

           r ≅ 1.55 m

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2,400 + 70N = S

hope this helps ya mate

Answer:

I just edited the file you linked.

Answer:

HERE IS THE REAL ANSWER!!! >

Step-by-step explanation:

I added the file so yeah also its correct!

Check the picture below.

The attached diagram represents the required line plot

From the table, we have the following frequency table:

Minutes spent           Frequency

25                                     1

25 1/2                                2

26                                     1

27 1/2                                 1

27 3/4                                1

28 1/4                                1

28 1/2                                2

29                                     1

Total                                10

Using the above frequency table, we can now plot the line plot

See attachment for the line plot

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Answer:

See below ~

Step-by-step explanation:

Solving :

(a) Coordinates of P and Q

⇒ Equate the lines' equations

⇒ 2x² - 6x - 8 = 2x - 14

⇒ 2x² - 8x + 6 = 0

⇒ x² - 4x + 3 = 0

⇒ (x - 3)(x - 1) = 0

⇒ x = 3 and x = 1

Substitute each x-value in the any of the 2 equations :

⇒ y = 2(3) - 14

⇒ y = 6 - 14

⇒ y = -8

⇒ P = (3, -8)

⇒ y = 2(1) - 14

⇒ y = 2 - 14

⇒ y = -12

⇒ Q = (1, -12)

(b)

(i) 2x² - 6x - 8 = 0

⇒ x² - 3x - 4 = 0

⇒ (x - 4)(x + 1) = 0

⇒ x = 4 and x = -1

(ii) 2x² - 6x = -4

⇒ 2x² - 6x + 4 = 0

⇒ x² - 3x + 2 = 0

⇒ (x - 1)(x - 2) = 0

⇒ x = 1 and x = 2

(c) Line of symmetry

Finding the vertex :

⇒ Vertex = (h, k)

⇒ h = -b/2a

⇒ h = -(-6)/2(2)

⇒ h = 6/4

⇒ h = 1.5

⇒ The axis of symmetry's equation is : x = 1.5

(d)

⇒ As the mentioned function is a quadratic function, irrational values such as √2, √3, √6, etc. cannot be taken into consideration

The shapes that are under the trapezoid in the quadrilateral hierarchy are parallelogram and isosceles trapezoid.

A quadrilateral is a polygon that has four sides and four angles. Types of quadrilateral are kite, square, parallelogram and so on.

The shapes that are under the trapezoid in the quadrilateral hierarchy are parallelogram and isosceles trapezoid.

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Answer:

x=5,z=4.5

Step-by-step explanation:

Given the angles are right angle i.e. 90°

90-9x = 90 - 10z

9x = 10z =45°(because diagonals bisects angles)

x=45/9

=5

z=45/10

=4.5

Answer: hii

real :)

Step-by-step explanation:

"While it is not a real number — that is, it cannot be quantified on the number line — imaginary numbers are "real" in the sense that they exist and are used in math. Imaginary numbers, also called complex numbers, are used in real-life applications, such as electricity, as well as quadratic equations."

Hopefully this helps you

- Matthew

Step-by-step explanation:

Sum of 64 and 17 = 44 + 17 = 81

Differences of 56 and 39 = 56 - 59 = 17

The product of the sum of 64 and 17 and the difference of 56 and 39 = 81 × 17 = 1377...

hope it helped !!!

Answer:

Your answer is A and B

Step-by-step explanation:

A. Has 8 by 3 by 2 = 48

B. 6 by 4 by 2 = 48

C. 4 by 4 by 4 = 64

D. 11 by 2 by 2 = 44