Answer:225000 mice
Step-by-step explanation:
Mass of elephant=4500kg
Mass of mice=2x10^(-2)=2/100 kg
Let y be there number of mice
2/100 x y=4500
2y/100=4500
Cross multiply
2y=4500 x 100
2y=450000
Divide both sides by 2
2y/2=450000/2
y=225000
1. Find the equation of the line AB. For reference, the answer is y=(-2/3)x+2.
2. Derive a formula for the area of the shaded rectange. It is A=xy (where x is the length and y is the height).
3. Replace "y" in A=xy with the formula for y: y= (-2/3)x+2:
A=x[(-2/3)x+2] This is a formula for Area A in terms of x only.
4. Since we want to maximize the shaded area, we take the derivative with respect to x of A=x[(-2/3)x+2] , or, equivalently, A=(-2/3)x^2 + 2x.
This results in (dA/dx) = (-4/3)x + 2.
5. Set this result = to 0 and solve for the critical value:
(dA/dx) = (-4/3)x + 2=0, or (4/3)x=2 This results in x=(3/4)(2)=3/2
6. Verify that this critical value x=3/2 does indeed maximize the area function.
7. Determine the area of the shaded rectangle for x=3/2, using the previously-derived formula A=(-2/3)x^2 + 2x.
The result is the max. area of the shaded rectangle.
Answer:
Step-by-step explanation:
The purple circle, not ring is pi 7 squared = 153.93804
Then subtract the smaller circles area (pi 4 squared) = 153.9... - 103.6725576 =
50.2654824
Purple ring is 50.2654824
The entire circle is 4+3+3 (10) squared times pi = 314.1592654
( 50.2654824 / 314.1592654 ) x 100 = 15.999999998 %
Answer:
x= 3/7 i.d.k if this is correct I did it in my brain
9r
Explanation:
4r + 9r = 13r
13r-11r = 2r
2r + 7r = 9r
