Answer:
see explanation
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of variation
(a)
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
When M = 540, then
540 = 2.5r³ ( divide both sides by 2.5 )_
216 = r³ ( take the cube root of both sides )
r = ![\sqrt[3]{216}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216%7D)
= 6
Answer:
6+3-8-7 = 8
1+4+10-8 = 7
3-3+9+1 = 10
10-2+10-8 = 10
2+0+1+2+3 = 8
10-1-2-3+4 = 8
Step-by-step explanation:
i don't know if these are supposed to be easy or not lol but thanks for the points :p
Answer:
51 messages
Step-by-step explanation:
15% of 60
15*60 = 900
900/100 = 9
and now 60-9 = 51
Final answer: She didnt sent 51 messages to her friend
If Bryan has three stamps and gets 2 new stamps every week how many stamps would he have in 3 weeks?
2x3+3=?
6+3=9
Bryan would have 9 stamps in 3 weeks.
7v² - 47v + 30
7v² - 5v - 42v + 30 split the second term into two terms.
v(7v - 5) - 6(7v - 5) factor out common terms in the first two terms, then the last two terms.
(7v - 5)(v - 6) << is your answer
hope this helps, God bless!
