All categories

3 years ago

Illustrate the 7th pattern of the sequence of square numbers.

2 answers:

6 0

1,4,9,16,25,36,49,........

7th pattern =49.....

tino4ka555 [31]3 years ago

6 0

Answer:

1, 4, 9, 16, 25, 36, 49…................the 7 the pattern is 49

You might be interested in

Factor completely. <img src="https://tex.z-dn.net/?f=x%5E%7B8%7D-%5Cfrac%7B1%7D%7B81%7D" id="TexFormula1" title="x^{8}-\fra

Eduardwww [97]

We have 3⁴ = 81, so we can factorize this as a difference of squares twice:

$x^8 - \dfrac1{81} = \left(x^2\right)^4 - \left(\dfrac13\right)^4 \\\\ x^8 - \dfrac1{81} = \left(\left(x^2\right)^2 - \left(\dfrac13\right)^2\right) \left(\left(x^2\right)^2 + \left(\dfrac13\right)^2\right) \\\\ x^8 - \dfrac1{81} = \left(x^2 - \dfrac13\right) \left(x^2 + \dfrac13\right) \left(\left(x^2\right)^2 + \left(\dfrac13\right)^2\right) \\\\ x^8 - \dfrac1{81} = \left(x^2 - \dfrac13\right) \left(x^2 + \dfrac13\right) \left(x^4 + \dfrac19\right)$

Depending on the precise definition of "completely" in this context, you can go a bit further and factorize $x^2-\frac13$ as yet another difference of squares:

$x^2 - \dfrac13 = x^2 - \left(\dfrac1{\sqrt3}\right)^2 = \left(x-\dfrac1{\sqrt3}\right)\left(x+\dfrac1{\sqrt3}\right)$

And if you're working over the field of complex numbers, you can go even further. For instance,

$x^4 + \dfrac19 = \left(x^2\right)^2 - \left(i\dfrac13\right)^2 = \left(x^2 - i\dfrac13\right) \left(x^2 + i\dfrac13\right)$

But I think you'd be fine stopping at the first result,

$x^8 - \dfrac1{81} = \boxed{\left(x^2 - \dfrac13\right) \left(x^2 + \dfrac13\right) \left(x^4 + \dfrac19\right)}$

6 0

3 years ago

Describe the relationship between the values of the independent and dependent variables (plz help)

Vadim26 [7]

Dependent variable is the variable that changes due to the independent variable, independent variable is the variable that scientists change on purpose.

5 0

3 years ago

What’s the answer for 9x = 72

aleksklad [387]

Answer:8

Step-by-step explanation: Since the opposing way of solving is division, you divide 72 into 9 and you get 8.

7 0

3 years ago

The ratio of the number of girls to the number of boys was 4 to 5 if 1,530 students were present how many were girls and how man

vlada-n [284]

Answer:

680 girls and 850 boys

Step-by-step explanation:

the ratio of girls is 4/9

then we can find the number of girls (G) in the group of 1530 students using proportions:

4 / 9 = G / 1530

solving for G by multiplying both sides of the proportion by 1530, we get:

G = 4 * 1530 / 9 = 680

So there were:

680 girls and 1530 - 680 = 850 boys

4 0

3 years ago

Read 2 more answers

At camp, ¼ of the children are divided into 3 equal groups for crafts. What fraction of the children at camp are in EACH group?

zloy xaker [14]

Answer:

3/4?

Step-by-step explanation:

maybe not but i think this is it

7 0

3 years ago

Read 2 more answers

Illustrate the 7th pattern of the sequence of square numbers. ​

Illustrate the 7th pattern of the sequence of square numbers.