Answer:
Step-by-step explanation:
Given diameter (d) = 13 m
circumference
= π * d
= 3.14 * 13
= 40.82 m
Answer:
Is the question, "How long will it take the worm to leave the well?"
If so then the worm will leave the hole on the fifth day.
Answer:
<u>-4</u>
Step-by-step explanation:
Average rate of change (Table 1) :
- A(x) = h(4) - h(1) / 4 - 1
- A(x) = 9 - 3 / 4 - 1
- A(x) = 6/3 = 2
Average rate of change (Table 2) :
- A(x) = j(4) - j(1) / 4 - 1
- A(x) = 0 - 6 / 4 - 1
- A(x) = -6/3 = -2
Difference : -2 - 2 = <u>-4</u>
Answer:
The magnitude of the boat's velocity is 5.66 m/s
Step-by-step explanation:
Given;
Radius of curvature of the circular path, r = 40 m
speed of the boat, v = 0.8 t m/s
The magnitude of the boat's velocity when it has traveled 20 m is ?
a = dv / dt,
v = 0.8 t (differentiate with respect to t)
dv / dt = 0.8 = a
thus, a = 0.8 m/s²
If the boat starts from rest, initial velocity, u = 0
Apply kinematic equation, to solve for the boat velocity at 20 m
v² = u² + 2as
v² = 0 + 2 x 0.8 x 20
v² = 0 + 32
v² = 32
v = √32
v = 5.66 m/s
Therefore, the magnitude of the boat's velocity when it has traveled 20 m is 5.66 m/s
Answer:
A.
Step-by-step explanation:
Factoring is the process of taking common terms out of an expression such that one can represent the expression as the result of smaller values. When given the following expression:

First, represent the linear term as the sum of two terms such that each term shares a common factor with the other terms in the expression.

Now take out the common factors,

Thus, the correct option is choice (A).