This division question is asking how many 1/4 you can fit into 50 1/2.
We can fit 4 of them into 1 whole (4 x 1/4 = 1)
We can fit 8 of them into 2 wholes (8 x 1/4 = 2)
and so on.
But we have 50 1/2 wholes, so we would need 50 1/2 x 4.
The new number sentence is 50 1/2 x 4.
Answer:
40 and 10
Step-by-step explanation:
1. if the length is 'l' and height is 'h', then according to the condition 1/4*l=h.
2. if the given area is 400, it means, h*l=400;
3. if to substitute h=1/4*l into the formula of the area, then
l*l*1/4=400; ⇔ 1/4*l²=400;
4. if to calculate the value of the 'l', then l=40 (the required length).
5. if to substitute l=40 into 1/4*l=h, then h=10 (the required height).
The correct answer to this question is letter "B. equilateral." Complete this statement: A polygon with all sides the same length is said to be equilateral.
Equilateral means all sides are the same length, equiangular means all angles are the same degrees, and regular means both equiangular and equilateral. Convex means that the interior angles can have a maximum of 180 degrees each; no vertexes can point to the center.<span>
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Answer:
5/2
Step-by-step explanation:
Answer:
#15: 1/5 (x^2 - x - 3)^5
#18: 5 (3x^2 - 6x + 1)^5
Step-by-step explanation:
#15
(2x-1)(x^2-x+3)^4
Chain Rule!!!
g'(x)f'(g(x)) = d/dx(f(g(x)) = (f ⚬ g)'(x)
f'(x) = x^4
g(x) = x^2 - x - 3
g'(x) = 2x - 1
So we only have to integrate x^4 gives 1/5 x^5
f(x) = 1/5 x^5
f(g(x)) = (f ⚬ g)(x) = 1/5 (x^2 - x - 3)^5
#18
150(x-1)(3x^2-6x+1)^4
Chain rule again!! In disguise.
f'(x) = x^4
f(x) = 1/5 x^5
g(x) = 3x^2-6x+1
g'(x) = 6x - 6 = 6(x-1)
150(x-1) = 25 g'(x)
25 g'(x)f'(g(x)) = 25 (f ⚬ g)(x) = 5(3x^2-6x+1)^5
