Let x be the length of the edge of the original cube. When increased to twice its original size it becomes 2 x which gives a volume of
2x × 2x × 2x = 8x³
The volume is known. Hence
8x³ = 64,000
x³ = 8,000 which gives x = 20
<span>The area of one face of the original (before the increase) is given by x2</span>
x² = 20² = 400 square centimeters
The answer for the question n=8
Answer:
The table is not a straight line.
Step-by-step explanation:
it is curved
Segment subtraction (three total segments): If a segment is subtracted from two congruent segments, then the differences are congruent. Angle subtraction (three total angles): If an angle is subtracted from two congruent angles, then the differences are congruent.
branlist please
Answer:
The value of g(f(100)) is 65.
Step-by-step explanation:
It is given that one coupon is good for 20% off of the total not including tax. The other coupon will take $15 off of her pre-tax total.
The given functions are
![f(x)=0.8x](https://tex.z-dn.net/?f=f%28x%29%3D0.8x)
![g(x)=x-15](https://tex.z-dn.net/?f=g%28x%29%3Dx-15)
where, f(x) calculates the total after the 20% off coupon and g(x) calculates the total after the $15 dollar off coupon.
We need to find the value of g(f(100)).
![(\because f(x)=0.8x)](https://tex.z-dn.net/?f=%28%5Cbecause%20f%28x%29%3D0.8x%29)
Substitute x=100 in the above function.
![g(f(100))=g[0.8(100)]](https://tex.z-dn.net/?f=g%28f%28100%29%29%3Dg%5B0.8%28100%29%5D)
![g(f(100))=g(80)](https://tex.z-dn.net/?f=g%28f%28100%29%29%3Dg%2880%29)
Substitute x=80 in function g(x) to find the value of g(f(100)).
![(\because g(x)=x-15)](https://tex.z-dn.net/?f=%28%5Cbecause%20g%28x%29%3Dx-15%29)
![g(f(100))=65](https://tex.z-dn.net/?f=g%28f%28100%29%29%3D65)
Therefore, the value of g(f(100)) is 65.
g(f(x)) represents the value goods after applying both coupons consecutively.
Therefore, g(f(100)) represents the value of $100 goods after applying both coupons consecutive is 65.