Volume of a cube = s³
Therefore, s³ = 512, meaning that s = 8.
The question asks what the resulting volume would be if all sides of the cube were divided by 4.
The current side measures 8, and we know that 8/4 = 2.
Thus, the resulting volume = s³ = 2³ = 8 cubic mm.
Answer:
The bigger avocado will be a better deal if the ratio of the sizes of the bigger one to the smaller one is less than the ratio of the prices of the bigger one to the smaller one.
Step-by-step explanation:
Given that two sizea of avocados are being sold, since the regular size is being sold for $0.84 each, let the price for the bigger avocado be $x.
Then note the following:
1. How bigger than the smaller avocado is the bigger one?
This would determine if the price for the bigger one is a bargain, or a mistake.
If for instance, the bigger avocado is double the size of the smaller one, then for any price, $x less that $1.68 (twice of $0.84), it is a bargain.
The bigger avocado will be a better deal if the ratio of the sizes bigger one to the smaller one is less than the ratio of the prices of the bigger one to the smaller one.
Answer:
495 cm3
Step-by-step explanation:
5x9x11
60x1.15=69
Retail price is $69
First list all the terms out.
e^ix = 1 + ix/1! + (ix)^2/2! + (ix)^3/3! ...
Then, we can expand them.
e^ix = 1 + ix/1! + i^2x^2/2! + i^3x^3/3!...
Then, we can use the rules of raising i to a power.
e^ix = 1 + ix - x^2/2! - ix^3/3!...
Then, we can sort all the real and imaginary terms.
e^ix = (1 - x^2/2!...) + i(x - x^3/3!...)
We can simplify this.
e^ix = cos x + i sin x
This is Euler's Formula.
What happens if we put in pi?
x = pi
e^i*pi = cos(pi) + i sin(pi)
cos(pi) = -1
i sin(pi) = 0
e^i*pi = -1 OR e^i*pi + 1 = 0
That is Euler's identity.
