9514 1404 393
Answer:
- -3/4a^3b^2
- 3.2·10^-1
- -0.1a^(n+1)
Step-by-step explanation:
To find the cube root, divide all of the exponents by 3. For a cube root, the sign is unchanged.
A) ∛(-27/64a^9b^6) = -∛(3^3/4^3·a^9·b^6) = -3/4a^3b^2
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B) 9.6×10^-8 ÷ (3×10^-7) = (9.6/3)×10^(-8-(-7)) = 3.2×10^-1
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C) ∛(-0.001a^(3n+3)) = -∛(0.1^3·a^(3n+3)) = -0.1a^(n+1)
Answer: X < 12 and X >= 60
Step-by-step explanation:
Call X the age
The triangle that is formed from by connecting the shadow, the tree and the endpoints of each is a right triangle. The two triangles formed (by the tree and its shadow, and by Rachel and her shadow) are similar. In similar triangles, the corresponding sides are proportional. Thus, to give the numerical answer to this item,
length of the tree/14 ft = 6 ft / 3.5 ft
length of the tree = 24 ft
You can use a graphing paper or a software to create a scatter plot. I used MS Excel to plot the points. You simply have to type the values and create a graph. The x-axis is the number of years and the y-axis is the savings account balance.
