Show me the calculation of joint variation
Mathematics
ScanSolve AI Answer
Answer
Tofauti ya pamoja hutokea wakati kiasi kimoja kinatofautiana moja kwa moja na bidhaa au mgawo wa vigeu vingine.
Step-by-step solution
2 stepsFormula ya jumla ya tofauti ya pamoja ni:
z = kxy
ambapo:
- z ni kiasi kinachotofautiana
- x na y ni vigeu vingine
- k ni mara kwa mara ya tofauti
Mfano:
Tuseme z kinatofautiana kwa pamoja na x na y. Ikiwa z = 24 wakati x = 2 na y = 3, tafuta thamani ya z wakati x = 4 na y = 5.
Tumia taarifa zilizotolewa ili kupata mara kwa mara ya tofauti (k).
24 = k × 2 × 3
24 = 6k
k = 24 / 6
k = 4Tumia thamani ya k na maadili mapya ya x na y ili kupata z.
z = kxy
z = 4 × 4 × 5
z = 80Kwa hiyo, thamani ya z ni 80.
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