<h2>
The required positive number is 7.</h2>
Step-by-step explanation:
Let the number = x
To find, the positive number = ?
According to question,

⇒
- 3x - 28 = 0
By Factorisation method,
⇒
- 7x + 4x - 28 = 0
⇒ x(x - 7) + 4(x - 7) = 0
⇒ (x - 7)(x + 4) = 0
⇒ x - 7 = 0 or, x + 4 = 0
⇒ x = 7 or, x = - 4 [ - 4 is a negative number)
⇒ x = 7
Thus, the required positive number is 7.
C = 2 (pi) r
32 (pi) = c
32 (pi)= 2 (pi) r
r= 16
2r = d
d= 32
hope that helps
Answer:
choice 4) 33.5 in³
Step-by-step explanation:
r = 4/2
V = 4/3πr³ = 4/3(3.14)(2³) = 33.5 in²
Answer:

Step-by-step explanation:
The given differential equation is 
The characteristics equation is given by

Finding the values of r

We got a repeated roots. Hence, the solution of the differential equation is given by

On differentiating, we get

Apply the initial condition y (0)= 3 in equation (i)

Now, apply the initial condition y' (0)= 13 in equation (ii)

Therefore, the solution of the differential equation is

Answer: the third answer (C)
Step-by-step explanation: