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lisabon 2012 [21]
3 years ago
12

Please and thankyou (:

Mathematics
1 answer:
den301095 [7]3 years ago
6 0

Let's evaluate the ratio test:

\dfrac{a_n}{a_{n-1}}=\dfrac{3^{n+1}}{3n+1}\cdot\dfrac{3(n-1)+1}{3^n}=\dfrac{3\cdot3^n}{3n+1}\cdot\dfrac{3n-2}{3^n} = \dfrac{9n-6}{3n+1}

The limit as n \to\infty of this quantity is 3, which is more than 1. So, the series diverges.

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Calculate the diameter of circle j if the circumference is 100.48
shtirl [24]
31.98, I am not 100% sure. 
6 0
3 years ago
The graph of f(x) = x+ was transformed to create the graph of g(x) = f(x) - 9.
Ludmilka [50]

Answer:

Step-by-step explanation:

A

3 0
2 years ago
Someone ask me to solve this.
Semenov [28]
X=2h, y=3k

Substitute these values into equations.

y+2x = 4 ------> 3k+2*2h=4 ----->  3k +4h =4

2/y - 3/2x = 1-----> 2/3k -3/(2*2h) = 1 ------> 2/3k - 3/4h =1

We have a system of equations now.

 3k +4h =4          ------> 3k = 4-4h ( Substitute 3k in the 2nd equation.)
2/3k - 3/4h =1

2/(4-4h) -3/4h = 1
2/(2(2-2h)) - 3/4h = 1
1/(2-2h) -3/4h - 1=0

4h/4h(2-2h) -3(2-2h)/4h(2-2h) - 4h(2-2h)/4h(2-2h) =0

(4h- 3(2-2h) - 4h(2-2h))/4h(2-2h) = 0
Numerator should be = 0
4h- 3(2-2h) - 4h(2-2h)=0

Denominator cannot be = 0
4h(2-2h)≠0

Solve equation for numerator=0
4h- 3(2-2h) - 4h(2-2h)=0
4h - 6+6h-8h+8h² =0
8h² +2h -6=0
4h² + h-3 =0
(4h-3)(h+1)=0
4h-3=0, h+1=0
h=3/4  or h=-1

Check which
4h(2-2h)≠0
1) h= 3/4  , 4*3/4(2-2*3/4)=3*(2-6)= -12 ≠0, so we can use h= 3/4
2)h=-1, 4(-1)(2-2*(-1)) =-4*4=-16 ≠0, so we can use h= -1, also.

h=3/4, then  3k = 4-4*3/4 =4 - 3=1 , 3k =1, k=1/3
h=-1, then  3k = 4-4*(-1) =8 , 3k=8, k=8/3 

So,
if h=3/4, then  k=1/3,
and if h=-1, then  k=8/3 .




6 0
3 years ago
-23/6 - 7/3=? explain please​
vlabodo [156]

Answer:

37/6

Step-by-step explanation:

-23/6 - 7/3

= -23/6 - 14/6 just make both have the same denominator (2x the 3 to make 6 and do same with numerator)

= 37/6 or 6 1/6

8 0
3 years ago
Read 2 more answers
Which correctly uses bar notation to represent the repeating decimal
ioda

Answer:

2nd one..

Step-by-step explanation:

but although all are wrongmm barnotation is not used

6 0
3 years ago
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