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4 years ago

What is the missing number in the list of perfect squares 1,4,9,16,25,36,49,_,81,100,121,144

2 answers:

5 0

Answer:
64

Explanation:
You have to multiply by the dam number every time you go up. Example, 3•3=9 and then 4•4=16.
So 8•8= 64

Yuri [45]4 years ago

3 0

Answer:

Step-by-step explanation:

49= 7*7

81=9*9

8*8=64

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Express the shaded area as a fraction, a decimal, and a percent of the whole

patriot [66]

Answer:

Fraction : 3/9

Decimal : 0.33333333 (the .3 continues)

Percent : 33.33333%

Step-by-step explanation:

Dividing 3 by 9 will give you a continous set of 3.

4 0

3 years ago

Read 2 more answers

Test the series for convergence or divergence (using ratio test)

Triss [41]

Answer:

$\lim_{n \to \infty} U_n =0$

Given series is convergence by using Leibnitz's rule

Step-by-step explanation:

Step(i):-

Given series is an alternating series

∑ $(-1)^{n} \frac{n^{2} }{n^{3}+3 }$

Let $U_{n} = (-1)^{n} \frac{n^{2} }{n^{3}+3 }$

By using Leibnitz's rule

$U_{n} - U_{n-1} = \frac{n^{2} }{n^{3} +3} - \frac{(n-1)^{2} }{(n-1)^{3}+3 }$

$U_{n} - U_{n-1} = \frac{n^{2}(n-1)^{3} +3)-(n-1)^{2} (n^{3} +3) }{(n^{3} +3)(n-1)^{3} +3)}$

Uₙ-Uₙ₋₁ <0

Step(ii):-

$\lim_{n \to \infty} U_n = \lim_{n \to \infty}\frac{n^{2} }{n^{3}+3 }$

$= \lim_{n \to \infty}\frac{n^{2} }{n^{3}(1+\frac{3}{n^{3} } ) }$

= $= \lim_{n \to \infty}\frac{1 }{n(1+\frac{3}{n^{3} } ) }$

$=\frac{1}{infinite }$

$\lim_{n \to \infty} U_n =0$

∴ Given series is converges

3 0

3 years ago

A rectangular prism has a volume of 1,500

goblinko [34]

Answer:

1500 = 748h

Step-by-step explanation:

Data:

l=34, w=32

Volume=1500

Write an equation of volume of a rectangular prism:

Volume= L x W x H

Substitute Values:

1500=34 x22 x h

Simplify:

1500=748h

7 0

3 years ago

How do I solve this equation by linear combinations

Tatiana [17]

What’s the equation given ?

7 0

3 years ago

Alicia is making headbands using ribbon she would like to make to make 12headbands each one requires 15.5 inches of ribbon she e

Umnica [9.8K]

Do 15.5×12
then you will know how much ribbon you need. Hope that helps!

6 0

3 years ago