∛(-45) = ∛((-1) × 45) = ∛(-1) × ∛45 = -∛45
Similarly,
∛(-101) = - ∛101
Now,
• 3³ = 27 and 4³ = 64, and 27 < 46 < 64, so ∛27 < ∛45 < ∛64, which places ∛45 between 3 and 4
• 5³ = 125, so ∛101 would similarly fall between 4 and 5
So to summarize, we have
3 < ∛45 < 4 < ∛101 < 5
so that
-5 < ∛(-45) < -4 < ∛(-101) < -3
so the integer between these numbers is -4.
Answer:
simplest form is 7/8
Step-by-step explanation:
Answer:
(7000-4000) will make 4000x100 =
(7000:4000-1)x100 =
175-100 = 75
the percentage increase from 4000 to 7000 by 75%
Answer:
The biggest number he can make is 348. Hope this helps!!!
Step-by-step explanation:
You have to multiply 4 and 7 together to get 28. Since if we multiplied every number together, we would end up with a lesser number, since anything multiplied by 1 is itself. Therefore, you next add 1 to 28 to get 29. Finally multiply 29 by 12 to get 348.
Answer:
Step-by-step explanation:
I'll assume that you meant
(8/13) ln 3 = ln h/12
Applying rules of logs, we get:
(8/13) ln 3 = ln h - ln 12
= ln h - ln 3 - ln 4 <= because ln b*c = ln b + ln c
Then (8/13) ln 3 + ln 3 = ln h - ln 4, or
(21/13) ln 3 + ln 4 = ln h
3^(21/13) * 4 = h <= because ln b*c = ln b + ln c