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DENIUS [597]
3 years ago
7

g Indicate whether the sequence is increasing, decreasing, non-increasing, or non-decreasing. The sequence may have more than on

e of those properties The nth term is 1/n.
Mathematics
1 answer:
QveST [7]3 years ago
7 0

Answer:

  decreasing, non-increasing

Step-by-step explanation:

The sequence is ...

  1, 1/2, 1/3, 1/4, ...

Each term is smaller than the one before it, so the sequence is decreasing (also, non-increasing).

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If log(x + y) = log 3 + ½log x + ½log y, prove that x² + y² = 7xy​
Free_Kalibri [48]

Answer:

See Explanation

Step-by-step explanation:

log(x + y) = log3 +  \frac{1}{2} logx+  \frac{1}{2} logy \\  \\ log(x + y) = log3 +    logx ^{\frac{1}{2}} +   logy ^{\frac{1}{2}}\\  \\  log(x + y) = log3 +    log(xy) ^{\frac{1}{2}} \\  \\ log(x + y) =  log[3(xy) ^{\frac{1}{2}}] \\  \\ x + y = 3(xy) ^{\frac{1}{2}} \\  \\ squaring \: both \: sides \\  {(x + y)}^{2}  =  \bigg(3(xy) ^{\frac{1}{2}} \bigg)^{2}  \\  \\  {x}^{2}  +  {y}^{2}  + 2xy = 9xy \\  \\  {x}^{2}  +  {y}^{2}  = 9xy - 2xy \\  \\   \purple{ \bold{{x}^{2}  +  {y}^{2}  = 7xy}} \\ thus \: proved

7 0
3 years ago
Read 2 more answers
4. A lampshade is in the shape of a cone. The radius iš 7 inches and the height 9
dsp73

Answer:

461.8

Step-by-step explanation:

V=(1/3) πr^2h

V=(1/3)π(7^2)9

V=461.8

Sorry inputed wrong in calculator first time

3 0
3 years ago
Read 2 more answers
Which of the following demonstrates how the 20 is calculated using the<br> combination pattern?
ZanzabumX [31]

Answer:

D

Step-by-step explanation:

The diagram shows Pascal's triangle. Pascal's triangle is a triangular array of the binomial coefficients.

The entry in the n^{th} row (start counting rows from 0) and k^{th} column (start counting columns from 0) of Pascal's triangle is denoted by

C^n_k=\left(\begin{array}{c}n\\ k\end{array}\right)

Coefficient 20 stands in 6th row, then n = 6 and in 3rd column, so k = 3.

Hence,

20=C^6_3=\left(\begin{array}{c}6\\ 3\end{array}\right)=\dfrac{6!}{3!(6-3)!}

4 0
3 years ago
Floor. How many tooth picks will it take to
Vikentia [17]
Need more info i think
4 0
3 years ago
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What is the value of 1/2 + (-5/6) + 1/4?<br> 1. -7/12<br> 2. -1/12<br> 3. 1/12<br> 4. 1 7/12
algol [13]

Answer:

The answer is 4

Step-by-step explanation:

1/2+(-5/6)= 1 1/3

1 1/3 + 1/4= 1 7/12

5 0
2 years ago
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