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3 years ago

What is the conjecture of 1, 8, 27, 64, , , , , __, what is the pattern?

Mathematics

1 answer:

NikAS [45]3 years ago

8 0

Answer:

The pattern = 1³, 2³ 3³, 4³, 5³, 6³, 7³, 8³, 9³,

The answer = 1, 8, 27, 64, 125, 216, 343, 512, 729,

Step-by-step explanation:

what is the pattern?

We are given the following sequence:

1, 8, 27, 64, __, __, __, __, __,

Observing the sequence above, for every consecutive natural number

x, x + 1, x + 2, x + 3.......

The above pattern is : the cube of every consecutive natural number. That is: x³, (x + 1)³, (x + 2)³, (x + 3)⁴

1, 8, 27, 64, __, __, __, __, __,

= 1³, 2³ 3³, 4³, 5³, 6³, 7³, 8³, 9³,

Hence, the answer

1, 8, 27, 64, 125, 216, 343, 512, 729,

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15.7 is what percent of 785

ehidna [41]

Answer:

Step-by-step explanation:

15.7 is 2% of 785

Hope this helps :)

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3 years ago

Create an expression equivalent to 3 (4x -2) -5x+10 using the least number of terms. please show your work.

marusya05 [52]

Answer:

7x+4

Step-by-step explanation:

Distribute:

=(3)(4x)+(3)(−2)+−5x+10

=12x+−6+−5x+10

Combine Like Terms:

=12x+−6+−5x+10

=(12x+−5x)+(−6+10)

=7x+4

7 0

3 years ago

Find the center and radius of this

ipn [44]

$\text{Hello there! :)}$

Answer:

$\boxed{\text{Center at } (7, -4), \text{ Radius of } 7.}$

$\text{Formula for a circle: } (x - h)^{2} + (y - k)^{2} = r^{2} \text{ Where:}$

$h = \text{ x-coordinate of center}\\\\k = \text{ y-coordinate of center}\\\\r = \text{ radius}\\\\\text{Therefore:}$

$\text{In the equation } (x - 7)^{2} + (y + 4)^{2} = 49:$

$h = 7\\\\k = -4\\\\r = \sqrt[]{49} = 7 \\\\\text{So:}$

$\text{Center at } (7, -4), \text{ Radius of } 7.$

3 0

3 years ago

Read 2 more answers

If the radius of the Cicular ground is 6m find, the area of ground #plz help

Fed [463]

Answer:

113.142857 m²

Step-by-step explanation:

As per the provide information in the given question, we have :

Radius of the circular ground = 6 m

We are asked to find the area of the ground.

Since, it is in the shape of circle, so we'll apply here the formula to find the area of the circular ground.

We know that,

>> Area of circle = πr

>> Area of the ground = $\sf \dfrac{22}{7}$ × 6 m × 6 m

>> Area of the ground = $\sf \dfrac{22}{7}$ × 36 m²

>> Area of the ground = $\sf \dfrac{792}{7}$ m²

>> Area of the ground = 113.142857 m²

$\therefore$ Therefore, area of the ground is 113.142857 m². 

3 0

3 years ago

Find the value of n so that the expression is a perfect square trinomial and then factor the trinomial.

Anna007 [38]

The correct expression is (a) n = 100; (x + 10)^2

<h3>How to determine the value of n?</h3>

The expression is given as:

x^2 + 20x + n

Take the coefficient of x

k = 20

Divide by 2

k/2= 10

Square both sides

(k/2)^2 = 100

The above value represents the value of n

i.e.

n = 100

So, we have:

x^2 + 20x + 100

Expand

x^2 + 10x + 10x + 100

Factorize

x(x + 10) + 10(x + 10)

Factor out x + 10

(x + 10)^2

Hence, the correct expression is (a) n = 100; (x + 10)^2

What is the conjecture of 1, 8, 27, 64, __, __, __, __, __, what is the pattern?

What is the conjecture of 1, 8, 27, 64, , , , , __, what is the pattern?