Answer:
1. CYNARG
Step-by-step explanation:
This a example of Caesar's Cipher, in which each letter in the original word leads to a ciphered letter according to the following equation:
In which C is the index of the Ciphered letter in the alphabet, P is the index of the original letter and o is the offset.
Finding the offset:
O is coded B
O is the 15th letter in the alphabet, so 
.
B is the 2nd letter in the alphabet, so 
So
PLANET:
P
P is the 16th letter in the alphabet.
So P is coded C.
L
L is the 12th letter in the alphabet:
L is coded Y(25th letter in the alphabet)
A
A is the 1st letter in the alphabet
A is coded N
N
N is the 14th letter in the alphabet
N is coded A
E
E is the 5th letter in the alphabet
E is coded R
So the correct answer is:
1. CYNARG
The answer to your question is a b c or d
Answer:
- the only possible value of x is 5
- the dimensions are 2 × 4 × 10
Step-by-step explanation:
The cubic equation ...
(x -3)(x -1)(x +5) = 80
has one real root: x = 5. Using that value for x, the dimensions become ...
length = 5 - 3 = 2
width = 5 - 1 = 4
height = 5 + 5 = 10
The dimensions are (length, width, height) = (2, 4, 10).
_____
We cannot tell the thrust of the problem, since it has only one solution. Perhaps you're supposed to write the cubic in standard form and use the <em>Rational Root theorem</em> to find <em>possible values of x</em>. That form can be found to be ...
(x -3)(x -1)(x +5) -80 = 0
x³ +x² -17x -65 = 0
Descartes' rule of signs tells you there is one positive real root. The rational root theorem tells you possible rational roots are factors of 65:
1, 5, 13, 65
We know that x must be greater than 3 (so all dimensions are positive). Thus <em>possible values of x are 5, 13, 65</em>, and we're pretty sure that 65 is way too large.
Answer:
7.5 miles
Step-by-step explanation:
Since she runs 5 miles in 38 minutes, she runs 
miles in one minute.
Hence, in 57 minutes she runs:
$ \frac{5}{38}\times 57$ miles = 7.5 miles
I think- I don’t know if this is true, but subtract 1 from 17,000 and that will be the probability that the person will NOT be struck by lighting in his/her lifetime
