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 = = 6
Answer:
C. y= 6.18x + 10.9
Step-by-step explanation:
Every game that he plays (x) costs 6.18, for example, if he plays 3 games it would be 6.18 times 3 (games)
Now you have to add your admission, 10.9
To enter he needs to pay the admission ( 10.9 ) and also each game ( x ) he plays ( 6.18 )
Are you asking for a place or the population?
Option D: is the solution
Explanation:
The given expression is
We need to determine the solution of the expression.
<u>Solution:</u>
The solution of the expression can be determined by solving the expression for the variable x.
Thus, we have,
Adding both sides of the expression by 1, we get,
Dividing both sides of the expression by 3, we get,
Thus, the solution of the expression is
Hence, Option D is the correct answer.
A = lw + πr²
A = (125)(56) + (3.14)(28)²
A = 7000 + 3.14(784)
A = 7000 + 2461.76
A = 9461.76 yd²