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zmey [24]
3 years ago
9

How many times greater is 1 than 1/4

Mathematics
1 answer:
melisa1 [442]3 years ago
4 0

1 is 4 times greater than 1/4

If you multiply 1/4 by 4 you get 1

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1. (a) Use the integral test to show that P[infinity] n=1 1/n4 converges. (b) Find the 10th partial sum, s10, of the series P[in
scZoUnD [109]

Answer:

Step-by-step explanation:

a) \int\limits^{\infty} _1 {\frac{1}{n^4} } \, dn\\ =\frac{n^{-3} }{-3}

Substitute limits to get

= \frac{1}{3}

Thus converges.

b) 10th partial sum =

\int\limits^{10} _1 {\frac{1}{n^4} } \, dn\\ =\frac{n^{-3} }{-3}

=\frac{-1}{3} (0.001-1)\\= 0.333

c) Z [infinity] n+1 1 /x ^4 dx ≤ s − sn ≤ Z [infinity] n 1 /x^ 4 dx, (1)

where s is the sum of P[infinity] n=1 1/n4 and sn is the nth partial sum of P[infinity] n=1 1/n4 .

(question is not clear)

3 0
3 years ago
Is this correct? Thanks to anyone who answers.
GREYUIT [131]
Hello!

A proportional relationship means the line passes through the origin (0,0) and shows a constant rate of change.

Your answers appear to be correct. Good job! :)

8 0
3 years ago
How to make 155 using 3 prime numbers(You must multiply)
Citrus2011 [14]
5 is a prime factor of 155.  Dividing 155 by 5, we get 31.  1*5*31 = 155.
7 0
3 years ago
What is the diameter of 11.94 cm circumference
sweet [91]

Question

What is the diameter of 11.94 cm circumference

Answer:

Soln,

We know that  diameter = * 2 radius

radius = 11.94/2= 5.97 half of diameter and when you multiply with 2 ,Then it comes 11.94cm  

Now

Step-by-step explanation

Circumference = 2πr

11.94 = 2*22/7*r

11.94 = 6.28r

r= 11.94/6.28

therefore, r= 1.90 cm

Now

We know that  diameter = * 2 radius

diameter = 1.90*2 = 3.80 cm

answer checking,

Circumference = 2πr

c= 2*22/7*1.90

therefore c = 11.94 cm

ans proved

plz mark me brainliest and thanks

have a good day ahead ; )

5 0
2 years ago
Given G(1,2)and K (8,12). Part A: What does it mean to find the point P on GK such that 3(GP) = 2(PK)?
VikaD [51]

It means point P divides segment GK into two segments such that their lengths are related as ...

... GP : PK = 2 : 3

3 0
3 years ago
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