Answer:
Third option:
and 
Step-by-step explanation:
Given:

For a modulus function, if
, then,

Here,
, 
∴ 
Therefore, the third option is the correct answer as the graph has
values as -2 and 2
Answer:
t=2.08 seconds.
Step-by-step explanation:
Well, in this example, H(t)=-0.6cos(2pi/2.5)t+1.5 should be equal to 1.2. If calculated, -0.6cos(0.8pi)t=1.2-1.5 which is equal to -0.6cos(0.8pi)t=-0.3, then cos(0.8pi)t=0.5. The value of cosine in terms of radians when it is equal to 0.5 is pi/3. So, cos(0.8pi)t=cos(pi/3). If simplified, (0.8pi)*t=5pi/3. pi's are cancelled out and t is calculated as 2.08333... If rounded to the nearest hundredth it is 2.08.
Answer:
n = 8
Step-by-step explanation:
Continuing the sequence using
+ 
x₄ = x₂ + x₃ =1 + 2 = 3
x₅ = x₃ + x₄ = 2 + 3 = 5
x₆ = x₄ + x₅ = 3 + 5 = 8
x₇ = x₅ + x₆ = 5 + 8 = 13
x₈ = x₆ + x₇ = 8 + 13 = 21
x₉ = x₇ + x₈ = 13 + 21 = 34
x₁₀ = x₈ + x₉ = 21 + 34 = 55 ← with n = 8
Answer:

Step-by-step explanation:
We have been given a graph of the function f(x).
Now we need to use that graph to find the equation of the graph and match with the correct choice from the give choices:




We see that graph has end points in opposite direction then the degree of polynomial must be ODD.
Available degrees are 3 and 4. Degree 3 is odd so it is choice B or C.
Only
satisfies the given points from graph.
Hence correct choice is
.
Area of a parallelogram = b×h
= 13.4×48.2
= 645.88 inches square
Area of rectangle = l×b
=7.3×48.2
= 351.86
Area of the figure = (b×h) + (l×b)
=645.88+351.86
= 997.74 inches square
Therefore, the answer is option C