Answer:
Step-by-step explanation:
Prime factorization: 43 is prime. The exponent of prime number 43 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 43 has exactly 2 factors.
Step-by-step explanation:
We have

First, 125 is a perfect cube because

and
x^3 is a perfect cube because

so we can use the difference of cubes identity

Let say we have two perfect cubes:
64 because 8×8×8=64
and 27 because 3×3×3=27 and let subtract

we know that

but using the difference of cubes identity we should get the same thing.
Remeber cube root of 64 is 4 and cube root of 27 is 3 so we have


So the difference of cubes works for real numbers. This is a good way to help remeber the identity using real numbers.
Back on to the topic,
we know that 5 is cube root of 125 and x is the cube root of x^3 so we have


Step-by-step explanation:
step one:
given that the sample space is
red, yellow, green, white, and black. i.e (1+1+1+1+1)= 5
the sample size is 5
the probability of picking a colored card at random is
Pr(a colored card)= 1/5
step two:
without replacement, after the first event, the sample size is now 4
then the probability of picking a colored card at random is
Pr(a colored card)= 1/4
1/100
Each meter is 100 centimeter
We have the following:
To calculate the total money, you have to add the amounts that Paula won, as follows

Which means that in total they are $ 14.95