Answer:
y = 
Step-by-step explanation:
Let the equation of the exponential function is,
y = a(b)ˣ
Since the graph of this function passes through two points
and (3, -1)
For the point
,
---------(1)
For second point (3, -1),
-1 = a(b)³ ---------(2)
Divide equation (2) by equation (1),
=


From equation (2)
-1 = 
-1 =
a = 8
Therefore, equation of the exponential function will be,
y = 
Answer:
13 ft.
Step-by-step explanation:
Lateral Surface area of a cube is the area of 4 sides, front side, back side, left side face and right side face.
It can be seen seen from the attached figure as well.
Each face in a cube is a square. And each side in the cube is equal.
So, Lateral surface area is nothing but 4
area of a square.
And we know that area of a square =
.
Hence, Lateral surface area = 
As per question:
= 676

Hence, side length of cube = 13 feet.
Complete Question
A sensor output was acquired for 32 seconds at a rate of 200 Hz and spectral analysis was performed using FFT. If the data set was split into 5 segments (each 6.4 seconds long), what is the resulting:
a)F minimum
b) F maximum
c) Frequency resolution
Answer:
a) 
b) 
c) 
Step-by-step explanation:
From the question we are told that:
Time 
Frequency
Segments 
Generally the equation for Frequency Range is mathematically given by


Therefore
a) 
b) 
c)
Generally the equation for Frequency Resolution is mathematically given by

Where
N=The Total dat points
N=Sampling Frequency *Time


Therefore


The correct answer is 37.5.
1 centimeter is equivalent to 10 millimeters. So 15x10=150 millimeters.
Hope this helped! :D