Answer:
The integral diverges
Step-by-step explanation:
∫₋₁¹ 10/x² dx
There is a discontinuity in the function at x = 0. Splitting this into two integrals:
∫₋₁⁰ 10/x² dx + ∫₀¹ 10/x² dx
-10/x |₋₁⁰ + -10/x |₀¹
∞
The factors of 16 are 1, 2, 4, 8, and 16.
<span>The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. </span>
<span>The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40. </span>
<span>So the greatest common factor of 16, 24, and 40 is 8.
Hope this helps:)</span>
Answer:
solution for n is 
Step-by-step explanation:
Given an equation containing one variable n.
The equation is as follows:

To solve for n we can subtract 3/4 from both the sides
The result is

Verify:
Substitute the answer in the given equation.

Both sides equal thus proving our correctness of answer.
9514 1404 393
Answer:
48 ft
Step-by-step explanation:
For the quadratic ax^2 +bx +c, the axis of symmetry is x = -b/(2a). For the given quadratic, which defines a parabola opening downward, the axis of symmetry defines the time at which the maximum height is reached.
t = -48/(2(-16)) = 1.5
Then the maximum height is ...
f(1.5) = (-16·1.5 +48)1.5 +12 = (24·1.5) +12
f(1.5) = 48
The maximum height the object will reach is 48 feet.