Option C: 1 is the simplification of the expression 
Explanation:
The given expression is
We need to simplify the given expression.
<u>Simplification:</u>
To simplify the given expression, let us apply the exponent rule, 
where 
Thus, the the exponent rule means that any value (except zero) to the power of zero is equal to one.
Thus, the expression becomes,
Therefore, the simplified expression is 1
Hence, Option C is the correct answer.
The function is continuous
For this case we will complete the table part by part.
We have then:
First row:
Snake = Rabbit = 4
Rabbit = Not Snake = 18
Total = 4 + 18 = 22
Second row:
Not rabbit = Snake = 11
Not rabbit = Not Snake = 26
Total = 11 + 26 = 37
Third row:
Total = 4 + 11 = 15
Total = 18 + 26 = 44
Total = 59
Answer:
A) g(t) = - 16*t² + 80*t
B) domain is ( 0 ≤ t ≤ 5 )
Step-by-step explanation:
A) for the model rocket
h = 0 and v = 80 feet/sec
Then the equation g(t) = -16*t² + v*t + h
became
g(t) = - 16*t² + 80*t + 0 g(t) = - 16*t² + 80*t
B) The equation g(t) = - 16*t² + 80*t is defined for all real numbers then the domain interval for t is ( -∞ , ∞ ). Now in our case, a model rocket was launched is not possible to get negative values for g(t) then the biggest value for t = 5 from
-16*t² + 80*t ≥ 0
-16*t ≥ -80 16*t ≤ 80
t ≤ 5
And the domain is ( 0 ≤ t ≤ 5 )
Answer:
a.) (x-3)(x-3) = 25 + (x-4)(x-4)
x^2 - 6x + 9 = 25 + x^2 - 8x + 16
-6x + 9 = -8x + 41
2x + 9 = 41
2x = 32
x = 16
b.) 16 - 4 = 12
AB = 12
c.) 16 - 3 = 13
AC = 13
[btw I don't know if this is the method your teacher wants as it does not use the similar triangle :/ but it is still correct :) so good luck bro]
