V=LWH
small=12*8*4=384
large=20*15*9=2700
space=large-small
space=2700-384
space=2316
there is 2316in^3 left
Answer:
(a) true
(b) true
(c) false; {y = x, t < 1; y = 2x, t ≥ 1}
(d) false; y = 200x for .005 < |x| < 1
Step-by-step explanation:
(a) "s(t) is periodic with period T" means s(t) = s(t+nT) for any integer n. Since values of n may be of the form n = 2m for any integer m, then this also means ...
s(t) = s(t +2mt) = s(t +m(2T)) . . . for any integer m
This equation matches the form of a function periodic with period 2T.
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(b) A system being linear means the output for the sum of two inputs is the sum of the outputs from the separate inputs:
s(a) +s(b) = s(a+b) . . . . definition of linear function
Then if a=b, you have
2s(a) = s(2a)
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(c) The output from a time-shifted input will only be the time-shifted output of the unshifted input if the system is time-invariant. The problem conditions here don't require that. A system can be "linear continuous time" and still be time-varying.
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(d) A restriction on an input magnitude does not mean the same restriction applies to the output magnitude. The system may have gain, for example.
it is 1/2 because it is greater
Answer:5.6 x 10^5
Step-by-step explanation:
When ever we hear sum, what comes to our mind must be addition
Here we are Adding 5.3 x 10 to the fifth power= 5.3 x 10^5 to
3.8 x 10 to the fourth power = 3.8 x 10^4
First,
Expanding the scientific notation we have that
5.3 x 10^5 = 530,000
3.8 x 10^4= 38,000
Add = 568,000
Putting back in Scientific notation we have 568000 = 5.6 x 10^5
Answer:160 dimes
Step-by-step explanation:
7 dimes= 70 cents
9 dimes= 90 cents
70+90=160
