Answer:
below
Step-by-step explanation:
10ˣ = 5
applying log to both sides
xlog 10 = log5
x = 0•699
Answer:
Circle circumference = radius * 2 * PI
Arc Length = radius * 2 * PI * Central Angle / 360 degrees
Arc Length = 7 * 2 * PI * (1/4)
= 3.5 * PI
= 10.9955742876
Arc Length = 10.996 (rounded)
Step-by-step explanation:
Answer:
A = ...-5π ,-4π ,-3π, -2π, -π, 0, π, 2π, 3π, 4π, 5π....
A = {x ∈ N, πx}
Answer:
The highest altitude that the object reaches is 576 feet.
Step-by-step explanation:
The maximum altitude reached by the object can be found by using the first and second derivatives of the given function. (First and Second Derivative Tests). Let be
, the first and second derivatives are, respectively:
First Derivative

Second Derivative

Then, the First and Second Derivative Test can be performed as follows. Let equalize the first derivative to zero and solve the resultant expression:


(Critical value)
The second derivative of the second-order polynomial presented above is a constant function and a negative number, which means that critical values leads to an absolute maximum, that is, the highest altitude reached by the object. Then, let is evaluate the function at the critical value:


The highest altitude that the object reaches is 576 feet.
Answer:
v = - 5
Step-by-step explanation:
Given
- 18 = 5v + 7 ( subtract 7 from both sides )
- 25 = 5v ( divide both sides by 5 )
- 5 = v