Answer:
x = -2/15.
Step-by-step explanation:
Finding the second derivative:
f'(x) = 15x^2 +4x - 3
f"(x) = 30x + 4
30x + 4 = 0 for a point of inflection
x = -4/30 = -2/15
So 30x + 4 is negative up to x = -2/15 and positive thereafter.
So the curve passes from concave downward to concave upward at x = -2/15.
Answer:
1,520,000 liters of water
Step-by-step explanation:
4x10^4= 40000. 38x40000=1,520,000
1.52x10^6
Answer:
1. 121 π unit²
2. 143°
3. 151 unit²
Step-by-step explanation:
1.
Area of a circle is given by the formula A = πr²
where
A is the area,
r is the radius of the circle
From the given diagram, we can see that the radius is 11, hence the area will be:

The answer is
units^2
2.
The unshaded secctor and the shaded sector equals the circle. We know that circle is 360°. The unshaded sector has an angle of 217°. So the shaded part will be 360 - 217 = 143°
The measure of the central angle of the shaded sector is 143°
3.
Area of a sector is given by the formula 
Where
is the central angle of the sector (in our case it is 143°)
r is the radius (which is 11)
Plugging in all the info into the formula we have:

<em>rounding to the nearest whole number, it is </em>151 units^2
I’m pretty sure it’s the slope
The 1st and 3rd choices are irrational. The other 2 are rational. Irrational numbers are numbers that you can't make a simple fraction out of.