Glencoe Algebra 2 Student Edition C2014
1st Edition
ISBN: 9780076639908
Author: McGraw-Hill Glencoe
Publisher: MCG
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Question
Chapter 10.3, Problem 5CYU
To determine
Write an equation for the nth term of the geometric series with the information a2=4; r=3
Expert Solution & Answer
Answer to Problem 5CYU
an= 4 · 3n−2
Explanation of Solution
Given:
The information: a2=4; r=3
Concept Used:
General equation for the nth term of any geometric series is an= a1 · rn−1
Where a1 the first term and r is the common ratio
Calculation:
Use the Exponent rules:
Product rule = am · an = am+n
Negative exponet rule : a− m = 1am
Step 1: Find the value of a1 from the information a2=4; r=3
an= a1 · rn−1a2=16; r=3a2= a1 · r2−1=a1 · r4= a1 · 3=3a143=3a13a1=43
a1=43; r=3an= a1 · rn−1=43 ·(3)n−1= 4 · 3−1 ·(3)n−1=4 · 3n−1−1=4 · 3n−2an= 4 · 3n−2
Thus, nth term of the series is an= 4 · 3n−2
Chapter 10 Solutions
Glencoe Algebra 2 Student Edition C2014
Ch. 10.1 - Prob. 1AGPCh. 10.1 - Prob. 1BGPCh. 10.1 - Prob. 2GPCh. 10.1 - Prob. 3GPCh. 10.1 - Prob. 4AGPCh. 10.1 - Prob. 4BGPCh. 10.1 - Prob. 5GPCh. 10.1 - Prob. 6AGPCh. 10.1 - Prob. 6BGPCh. 10.1 - Prob. 6CGP
Ch. 10.1 - Prob. 1CYUCh. 10.1 - Prob. 2CYUCh. 10.1 - Prob. 3CYUCh. 10.1 - Prob. 4CYUCh. 10.1 - Prob. 5CYUCh. 10.1 - Prob. 6CYUCh. 10.1 - Prob. 7CYUCh. 10.1 - Prob. 8CYUCh. 10.1 - Prob. 9CYUCh. 10.1 - Prob. 10CYUCh. 10.1 - Prob. 11CYUCh. 10.1 - Prob. 12CYUCh. 10.1 - Prob. 13CYUCh. 10.1 - Prob. 14CYUCh. 10.1 - Prob. 15CYUCh. 10.1 - Prob. 16CYUCh. 10.1 - Prob. 17CYUCh. 10.1 - Prob. 18CYUCh. 10.1 - Prob. 19CYUCh. 10.1 - Prob. 20CYUCh. 10.1 - Prob. 21PPSCh. 10.1 - Prob. 22PPSCh. 10.1 - Prob. 23PPSCh. 10.1 - Prob. 24PPSCh. 10.1 - Prob. 25PPSCh. 10.1 - Prob. 26PPSCh. 10.1 - Prob. 27PPSCh. 10.1 - Prob. 28PPSCh. 10.1 - Prob. 29PPSCh. 10.1 - Prob. 30PPSCh. 10.1 - Prob. 31PPSCh. 10.1 - Prob. 32PPSCh. 10.1 - Prob. 33PPSCh. 10.1 - Prob. 34PPSCh. 10.1 - Prob. 35PPSCh. 10.1 - Prob. 36PPSCh. 10.1 - Prob. 37PPSCh. 10.1 - Prob. 38PPSCh. 10.1 - Prob. 39PPSCh. 10.1 - Prob. 40PPSCh. 10.1 - Prob. 41PPSCh. 10.1 - Prob. 42PPSCh. 10.1 - Prob. 43PPSCh. 10.1 - Prob. 44PPSCh. 10.1 - Prob. 45PPSCh. 10.1 - Prob. 46PPSCh. 10.1 - Prob. 47PPSCh. 10.1 - Prob. 48PPSCh. 10.1 - Prob. 49PPSCh. 10.1 - Prob. 50PPSCh. 10.1 - Prob. 51PPSCh. 10.1 - Prob. 52PPSCh. 10.1 - Prob. 53PPSCh. 10.1 - Prob. 54HPCh. 10.1 - Prob. 55HPCh. 10.1 - Prob. 56HPCh. 10.1 - Prob. 57HPCh. 10.1 - Prob. 58HPCh. 10.1 - Prob. 59HPCh. 10.1 - Prob. 60HPCh. 10.1 - Prob. 61STPCh. 10.1 - Prob. 62STPCh. 10.1 - Prob. 63STPCh. 10.1 - Prob. 64STPCh. 10.1 - Prob. 65SRCh. 10.1 - Prob. 66SRCh. 10.1 - Prob. 67SRCh. 10.1 - Prob. 68SRCh. 10.1 - Prob. 69SRCh. 10.1 - Prob. 70SRCh. 10.1 - Prob. 71SRCh. 10.1 - Prob. 72SRCh. 10.1 - Prob. 73SRCh. 10.1 - Prob. 74SRCh. 10.1 - Prob. 75SCh. 10.1 - Prob. 76SCh. 10.1 - Prob. 77SCh. 10.1 - Prob. 78SCh. 10.1 - Prob. 79SCh. 10.1 - Prob. 80SCh. 10.2 - Prob. 1AGPCh. 10.2 - Prob. 1BGPCh. 10.2 - Prob. 2AGPCh. 10.2 - Prob. 2BGPCh. 10.2 - Prob. 3GPCh. 10.2 - Prob. 4AGPCh. 10.2 - Prob. 4BGPCh. 10.2 - Prob. 5AGPCh. 10.2 - Prob. 5BGPCh. 10.2 - Prob. 6GPCh. 10.2 - Prob. 1CYUCh. 10.2 - Prob. 2CYUCh. 10.2 - Prob. 3CYUCh. 10.2 - Prob. 4CYUCh. 10.2 - Prob. 5CYUCh. 10.2 - Prob. 6CYUCh. 10.2 - Prob. 7CYUCh. 10.2 - Prob. 8CYUCh. 10.2 - Prob. 9CYUCh. 10.2 - Prob. 10CYUCh. 10.2 - Prob. 11CYUCh. 10.2 - Prob. 12CYUCh. 10.2 - Prob. 13CYUCh. 10.2 - Prob. 14PPSCh. 10.2 - Prob. 15PPSCh. 10.2 - Prob. 16PPSCh. 10.2 - Prob. 17PPSCh. 10.2 - Prob. 18PPSCh. 10.2 - Prob. 19PPSCh. 10.2 - Prob. 20PPSCh. 10.2 - Prob. 21PPSCh. 10.2 - Prob. 22PPSCh. 10.2 - Prob. 23PPSCh. 10.2 - Prob. 24PPSCh. 10.2 - Prob. 25PPSCh. 10.2 - Prob. 26PPSCh. 10.2 - Prob. 27PPSCh. 10.2 - Prob. 28PPSCh. 10.2 - Prob. 29PPSCh. 10.2 - Prob. 30PPSCh. 10.2 - Prob. 31PPSCh. 10.2 - Prob. 32PPSCh. 10.2 - Prob. 33PPSCh. 10.2 - Prob. 34PPSCh. 10.2 - Prob. 35PPSCh. 10.2 - Prob. 36PPSCh. 10.2 - Prob. 37PPSCh. 10.2 - Prob. 38PPSCh. 10.2 - Prob. 39PPSCh. 10.2 - Prob. 40PPSCh. 10.2 - Prob. 41PPSCh. 10.2 - Prob. 42PPSCh. 10.2 - Prob. 43PPSCh. 10.2 - Prob. 44PPSCh. 10.2 - Prob. 45PPSCh. 10.2 - Prob. 46PPSCh. 10.2 - Prob. 47PPSCh. 10.2 - Prob. 48PPSCh. 10.2 - Prob. 49PPSCh. 10.2 - Prob. 50PPSCh. 10.2 - 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Prob. 98SCh. 10.2 - Prob. 99SCh. 10.2 - Prob. 100SCh. 10.3 - Prob. 1GPCh. 10.3 - Prob. 2AGPCh. 10.3 - Prob. 2BGPCh. 10.3 - Prob. 3GPCh. 10.3 - Prob. 4AGPCh. 10.3 - Prob. 4BGPCh. 10.3 - Prob. 5AGPCh. 10.3 - Prob. 5BGPCh. 10.3 - Prob. 6GPCh. 10.3 - Prob. 1CYUCh. 10.3 - Prob. 2CYUCh. 10.3 - Prob. 3CYUCh. 10.3 - Prob. 4CYUCh. 10.3 - Prob. 5CYUCh. 10.3 - Prob. 6CYUCh. 10.3 - Prob. 7CYUCh. 10.3 - Prob. 8CYUCh. 10.3 - Prob. 9CYUCh. 10.3 - Prob. 10CYUCh. 10.3 - Prob. 11CYUCh. 10.3 - Prob. 12CYUCh. 10.3 - Prob. 13CYUCh. 10.3 - Prob. 14CYUCh. 10.3 - Prob. 15CYUCh. 10.3 - Prob. 16CYUCh. 10.3 - Prob. 17PPSCh. 10.3 - Prob. 18PPSCh. 10.3 - Prob. 19PPSCh. 10.3 - Prob. 20PPSCh. 10.3 - Prob. 21PPSCh. 10.3 - Prob. 22PPSCh. 10.3 - Prob. 23PPSCh. 10.3 - Prob. 24PPSCh. 10.3 - Prob. 25PPSCh. 10.3 - Prob. 26PPSCh. 10.3 - Prob. 27PPSCh. 10.3 - Prob. 28PPSCh. 10.3 - Prob. 29PPSCh. 10.3 - Prob. 30PPSCh. 10.3 - Prob. 31PPSCh. 10.3 - Prob. 32PPSCh. 10.3 - Prob. 33PPSCh. 10.3 - Prob. 34PPSCh. 10.3 - Prob. 35PPSCh. 10.3 - Prob. 36PPSCh. 10.3 - Prob. 37PPSCh. 10.3 - Prob. 38PPSCh. 10.3 - Prob. 39PPSCh. 10.3 - Prob. 40PPSCh. 10.3 - Prob. 41PPSCh. 10.3 - Prob. 42PPSCh. 10.3 - Prob. 43PPSCh. 10.3 - Prob. 44PPSCh. 10.3 - Prob. 45PPSCh. 10.3 - Prob. 46PPSCh. 10.3 - Prob. 47PPSCh. 10.3 - Prob. 48PPSCh. 10.3 - Prob. 49PPSCh. 10.3 - Prob. 50PPSCh. 10.3 - Prob. 51PPSCh. 10.3 - Prob. 52PPSCh. 10.3 - Prob. 53PPSCh. 10.3 - Prob. 54PPSCh. 10.3 - Prob. 55PPSCh. 10.3 - Prob. 56PPSCh. 10.3 - Prob. 57PPSCh. 10.3 - Prob. 58PPSCh. 10.3 - Prob. 59PPSCh. 10.3 - Prob. 60PPSCh. 10.3 - Prob. 61PPSCh. 10.3 - Prob. 62PPSCh. 10.3 - Prob. 63PPSCh. 10.3 - Prob. 64HPCh. 10.3 - Prob. 65HPCh. 10.3 - Prob. 66HPCh. 10.3 - Prob. 67HPCh. 10.3 - Prob. 68HPCh. 10.3 - Prob. 69HPCh. 10.3 - Prob. 70HPCh. 10.3 - Prob. 71HPCh. 10.3 - Prob. 72HPCh. 10.3 - Prob. 73STPCh. 10.3 - Prob. 74STPCh. 10.3 - Prob. 75STPCh. 10.3 - Prob. 76STPCh. 10.3 - Prob. 77SRCh. 10.3 - Prob. 78SRCh. 10.3 - Prob. 79SRCh. 10.3 - Prob. 80SRCh. 10.3 - Prob. 81SRCh. 10.3 - Prob. 82SRCh. 10.3 - Prob. 83SRCh. 10.3 - Prob. 84SRCh. 10.3 - Prob. 85SRCh. 10.3 - Prob. 86SCh. 10.3 - Prob. 87SCh. 10.3 - Prob. 88SCh. 10.3 - Prob. 89SCh. 10.4 - Prob. 1AGPCh. 10.4 - Prob. 1BGPCh. 10.4 - Prob. 2AGPCh. 10.4 - Prob. 2BGPCh. 10.4 - Prob. 3GPCh. 10.4 - Prob. 4GPCh. 10.4 - Prob. 1CYUCh. 10.4 - Prob. 2CYUCh. 10.4 - Prob. 3CYUCh. 10.4 - Prob. 4CYUCh. 10.4 - Prob. 5CYUCh. 10.4 - Prob. 6CYUCh. 10.4 - Prob. 7CYUCh. 10.4 - Prob. 8CYUCh. 10.4 - Prob. 9CYUCh. 10.4 - Prob. 10CYUCh. 10.4 - Prob. 11CYUCh. 10.4 - Prob. 12CYUCh. 10.4 - Prob. 13CYUCh. 10.4 - Prob. 14CYUCh. 10.4 - Prob. 15CYUCh. 10.4 - Prob. 16PPSCh. 10.4 - Prob. 17PPSCh. 10.4 - Prob. 18PPSCh. 10.4 - Prob. 19PPSCh. 10.4 - Prob. 20PPSCh. 10.4 - Prob. 21PPSCh. 10.4 - Prob. 22PPSCh. 10.4 - Prob. 23PPSCh. 10.4 - Prob. 24PPSCh. 10.4 - Prob. 25PPSCh. 10.4 - Prob. 26PPSCh. 10.4 - Prob. 27PPSCh. 10.4 - Prob. 28PPSCh. 10.4 - Prob. 29PPSCh. 10.4 - Prob. 30PPSCh. 10.4 - Prob. 31PPSCh. 10.4 - Prob. 32PPSCh. 10.4 - Prob. 33PPSCh. 10.4 - Prob. 34PPSCh. 10.4 - Prob. 35PPSCh. 10.4 - Prob. 36PPSCh. 10.4 - Prob. 37PPSCh. 10.4 - Prob. 38PPSCh. 10.4 - Prob. 39PPSCh. 10.4 - Prob. 40PPSCh. 10.4 - Prob. 41PPSCh. 10.4 - Prob. 42PPSCh. 10.4 - Prob. 43PPSCh. 10.4 - Prob. 44PPSCh. 10.4 - Prob. 45PPSCh. 10.4 - Prob. 46PPSCh. 10.4 - Prob. 47PPSCh. 10.4 - Prob. 48PPSCh. 10.4 - Prob. 49PPSCh. 10.4 - Prob. 50PPSCh. 10.4 - Prob. 51PPSCh. 10.4 - Prob. 52PPSCh. 10.4 - Prob. 53PPSCh. 10.4 - Prob. 54PPSCh. 10.4 - Prob. 55PPSCh. 10.4 - Prob. 56PPSCh. 10.4 - Prob. 57PPSCh. 10.4 - Prob. 58PPSCh. 10.4 - Prob. 59PPSCh. 10.4 - Prob. 60HPCh. 10.4 - Prob. 61HPCh. 10.4 - Prob. 62HPCh. 10.4 - Prob. 63HPCh. 10.4 - Prob. 64HPCh. 10.4 - Prob. 65HPCh. 10.4 - Prob. 66HPCh. 10.4 - Prob. 67HPCh. 10.4 - Prob. 68STPCh. 10.4 - Prob. 69STPCh. 10.4 - Prob. 70STPCh. 10.4 - Prob. 71STPCh. 10.4 - Prob. 72SRCh. 10.4 - Prob. 73SRCh. 10.4 - Prob. 74SCh. 10.4 - Prob. 75SCh. 10.4 - Prob. 76SCh. 10.4 - Prob. 1ECh. 10.4 - Prob. 2ECh. 10.4 - Prob. 3ECh. 10.4 - Prob. 4ECh. 10.4 - Prob. 5ECh. 10.4 - Prob. 6ECh. 10.4 - Prob. 1MCQCh. 10.4 - Prob. 2MCQCh. 10.4 - Prob. 3MCQCh. 10.4 - Prob. 4MCQCh. 10.4 - Prob. 5MCQCh. 10.4 - Prob. 6MCQCh. 10.4 - Prob. 7MCQCh. 10.4 - Prob. 8MCQCh. 10.4 - Prob. 9MCQCh. 10.4 - Prob. 10MCQCh. 10.4 - Prob. 11MCQCh. 10.4 - Prob. 12MCQCh. 10.4 - Prob. 13MCQCh. 10.4 - Prob. 14MCQCh. 10.4 - Prob. 15MCQCh. 10.4 - Prob. 16MCQCh. 10.4 - Prob. 17MCQCh. 10.4 - Prob. 18MCQCh. 10.4 - Prob. 19MCQCh. 10.4 - Prob. 20MCQCh. 10.5 - Prob. 1GPCh. 10.5 - Prob. 2AGPCh. 10.5 - Prob. 2BGPCh. 10.5 - Prob. 2CGPCh. 10.5 - Prob. 3GPCh. 10.5 - Prob. 4GPCh. 10.5 - Prob. 1CYUCh. 10.5 - Prob. 2CYUCh. 10.5 - Prob. 3CYUCh. 10.5 - Prob. 4CYUCh. 10.5 - Prob. 5CYUCh. 10.5 - Prob. 6CYUCh. 10.5 - Prob. 7CYUCh. 10.5 - Prob. 8CYUCh. 10.5 - Prob. 9CYUCh. 10.5 - Prob. 10CYUCh. 10.5 - Prob. 11CYUCh. 10.5 - Prob. 12PPSCh. 10.5 - Prob. 13PPSCh. 10.5 - Prob. 14PPSCh. 10.5 - Prob. 15PPSCh. 10.5 - Prob. 16PPSCh. 10.5 - Prob. 17PPSCh. 10.5 - Prob. 18PPSCh. 10.5 - Prob. 19PPSCh. 10.5 - Prob. 20PPSCh. 10.5 - Prob. 21PPSCh. 10.5 - Prob. 22PPSCh. 10.5 - Prob. 23PPSCh. 10.5 - Prob. 24PPSCh. 10.5 - Prob. 25PPSCh. 10.5 - Prob. 26PPSCh. 10.5 - Prob. 27PPSCh. 10.5 - Prob. 28PPSCh. 10.5 - Prob. 29PPSCh. 10.5 - Prob. 30PPSCh. 10.5 - Prob. 31PPSCh. 10.5 - Prob. 32PPSCh. 10.5 - Prob. 33PPSCh. 10.5 - Prob. 34PPSCh. 10.5 - Prob. 35PPSCh. 10.5 - Prob. 36PPSCh. 10.5 - Prob. 37PPSCh. 10.5 - Prob. 38PPSCh. 10.5 - Prob. 39PPSCh. 10.5 - Prob. 40PPSCh. 10.5 - Prob. 41PPSCh. 10.5 - Prob. 42PPSCh. 10.5 - Prob. 43PPSCh. 10.5 - Prob. 44PPSCh. 10.5 - Prob. 45PPSCh. 10.5 - Prob. 46PPSCh. 10.5 - Prob. 47PPSCh. 10.5 - Prob. 48PPSCh. 10.5 - Prob. 49PPSCh. 10.5 - Prob. 50HPCh. 10.5 - Prob. 51HPCh. 10.5 - Prob. 52HPCh. 10.5 - Prob. 53HPCh. 10.5 - Prob. 54STPCh. 10.5 - Prob. 55STPCh. 10.5 - Prob. 56STPCh. 10.5 - Prob. 57SRCh. 10.5 - Prob. 58SRCh. 10.5 - Prob. 59SRCh. 10.5 - Prob. 60SRCh. 10.5 - Prob. 61SRCh. 10.5 - Prob. 62SRCh. 10.5 - Prob. 63SRCh. 10.5 - Prob. 64SCh. 10.5 - Prob. 65SCh. 10.5 - Prob. 66SCh. 10.5 - Prob. 67SCh. 10.5 - Prob. 68SCh. 10.5 - Prob. 69SCh. 10.6 - Prob. 1GPCh. 10.6 - Prob. 2GPCh. 10.6 - Prob. 3GPCh. 10.6 - Prob. 4GPCh. 10.6 - Prob. 1CYUCh. 10.6 - Prob. 2CYUCh. 10.6 - Prob. 3CYUCh. 10.6 - Prob. 4CYUCh. 10.6 - Prob. 5CYUCh. 10.6 - Prob. 6CYUCh. 10.6 - Prob. 7CYUCh. 10.6 - Prob. 8CYUCh. 10.6 - Prob. 9CYUCh. 10.6 - Prob. 10CYUCh. 10.6 - Prob. 11CYUCh. 10.6 - Prob. 12CYUCh. 10.6 - Prob. 13CYUCh. 10.6 - Prob. 14CYUCh. 10.6 - Prob. 15PPSCh. 10.6 - Prob. 16PPSCh. 10.6 - Prob. 17PPSCh. 10.6 - Prob. 18PPSCh. 10.6 - Prob. 19PPSCh. 10.6 - Prob. 20PPSCh. 10.6 - Prob. 21PPSCh. 10.6 - Prob. 22PPSCh. 10.6 - Prob. 23PPSCh. 10.6 - Prob. 24PPSCh. 10.6 - Prob. 25PPSCh. 10.6 - Prob. 26PPSCh. 10.6 - Prob. 27PPSCh. 10.6 - Prob. 28PPSCh. 10.6 - Prob. 29PPSCh. 10.6 - Prob. 30PPSCh. 10.6 - Prob. 31PPSCh. 10.6 - Prob. 32PPSCh. 10.6 - Prob. 33PPSCh. 10.6 - Prob. 34HPCh. 10.6 - Prob. 35HPCh. 10.6 - Prob. 36HPCh. 10.6 - Prob. 37HPCh. 10.6 - Prob. 38HPCh. 10.6 - Prob. 39STPCh. 10.6 - Prob. 40STPCh. 10.6 - Prob. 41STPCh. 10.6 - 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- 1. For the following subsets of R3, explain whether or not they are a subspace of R³. (a) (b) 1.1 0.65 U = span -3.4 0.23 0.4 -0.44 0 (})} a V {(2) | ER (c) Z= the points in the z-axisarrow_forwardSolve the following equation forx. leave answer in Simplified radical form. 5x²-4x-3=6arrow_forwardMATCHING LIST Question 6 Listen Use the given equations and their discriminants to match them to the type and number of solutions. 00 ed two irrational solutions a. x²+10x-2=-24 two rational solutions b. 8x²+11x-3=7 one rational solution c. 3x²+2x+7=2 two non-real solutions d. x²+12x+45 = 9 DELL FLOWER CHILD 10/20 All Changes S $681 22991arrow_forward
- 88 MULTIPLE CHOICE Question 7 Listen The following irrational expression is given in unsimplified form with four op- tions in simplified form. Select the correct simplified form. Select only one option. A 2±3√√2 B 4±√3 2±√ √3 D 1±√√3 DELL FLOWER CHILD 11/200 4 ± √48 4 ✓ All Changes Saved 165arrow_forwardUse the graph of y = f(x) to answer the following. 3- 2 -4 -2 -1 1 2 3 4 -1 2 m -3- + (d) Find all x for which f(x) = -2. If there is more than one value, separate them with commas or write your answer in interval notation, if necessary. Select "None", if applicable. Value(s) of x for which f(x)=-2: | (0,0) (0,0) (0,0) (0,0) 0,0... -00 None (h) Determine the range of f. The range is (0,0) Garrow_forwardWhat is g(f(4))arrow_forward
- 10) Multiply (8m + 3)² A) 8m²+11m+6 B) m² + 48m+9 C) 64m²+48m+9 D) 16m²+11m+6arrow_forwardLet R be field and X= R³/s Vector space over R M=(a,b,c)labic, e Rra+b= 3- <3 Show that Ms and why with proof. 1) is convexset and affine set of botost ii) is blanced set and symmetirs set of x iii) is hy per space and hyper plane ofx or hot iii) find f:MR st kerf = M 18/103 and finnd fiM→R/{0} st M= {xEX, f(t) = x, texiαER? jiii) show that Mis Maxsubspace or not and Mis a max. affine set or not.arrow_forwardFind The partial fraction decomposition for each The following 2× B) (x+3) a 3 6 X-3x+2x-6arrow_forward
- 1) Find the partial feraction decomposition for each of 5- X 2 2x+x-1 The following: 3 B) 3 X + 3xarrow_forwardT={(−7,1),(1,−1),(6,−8),(2,8)} Find the domain and range of the inverse. Express your answer as a set of numbers.arrow_forwardT={(−7,1),(1,−1),(6,−8),(2,8)}. Find the inverse. Express your answer as a set of ordered pairs.arrow_forward
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