Answer:
6√2
Step-by-step explanation:
Solving the given expression step by step:
72 = 2 × 2 × 2 × 3 × 3
Now for finding the square root we will make pair of two numbers of same values.
We have one pair of 2's and one pair of 3's and left one 2
Thus, √72 = 2 × 3 × √2 = 6√2
We rationalize denominator and change it into a simpler form as soon as possible.
We are given the graph of sine function.
First, we get the amplitude
A = [6 - (-2)] / 2
A = 4
Next, we determine the period and b
T = 4 - 0 = 4
b = 2π / T
b = π/2
The original sine function was
y = 4 sin πx/2
After the transformation, the equation now is
y = 4 sin [π(x+2)/2] + 2
Answer:
406 meters squared
Step-by-step explanation:
14 times 5= 70 (Section 1)
21 times 16= 336 (Section 2)
(Combine Sections 1 and 2)
336 + 70= 406
*I'm not 100% certain that this is correct, but I'm pretty sure it is*
Answer:
n=11
Step-by-step explanation:
Hope this helps :)
Answer:
as x approaches infinity, f(x) approaches 0
as x approaches -infinity, f(x) approaches infinity
Step-by-step explanation:
we can observe that 1/2 < 1 and since it's being exponentiated, the f(x) gets smaller and smaller as x gets bigger.
For example, f(0) = 1, f(1) = 1/2, f(2) = 1/4
so, as x approaches an infinitely large number, f(x) gets closer and closer to zero.
this is the opposite as x approaches a negatively large number. following exponential rules, 1/2^(x) = 2^x for all x < 0. therefore as x approaches negative infinity, f(x) approaches infinity.
in this case, f(-1) = 2, f(2) = 4, f(3) = 8
