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
9514 1404 393
Answer:
120
Step-by-step explanation:
The number of permutations of 5 things taken 4 at a time is 120.
__
There are 5 odd digits. You want to choose 4 of them, then arrange those 4 in all possible ways. There are 5·4·3·2 = 120 ways to do that.
120 4-digit codes can be formed using odd digits with no repetition.
Answer:
Step-by-step explanation:
we know that
There are about 125,000 Brine shrimp in 1 pound
1 pound contains 96 teaspoons
so
There are about 125,000 Brine shrimp in 96 teaspoons
Using proportion
Find out how many teaspoons of brine shrimp represent 3000 Brine shrimp
Let
x -----> the number of teaspoons
Simplify
Convert to mixed number
