Answer
Because velocity and speed differ each other by direction, in a 100 m sprint race the person moves in a straight path without changing its direction where as in a 400 m race. The person moves in a lap around the race track and the direction changes as he turns according to the race track.
Step-by-step explanation:
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Answer:
131072
Step-by-step explanation:
Let's put it into expression form and simplify as much as possible :
=
=
131072
Hope this helped and have a good day
Answer:
The error is in step 3. You cannot use a property of logarithms to prove that same property.
Step-by-step explanation:
Here we the proof of the quotient rule as
If Logₐx = M and Logₐy = N
Then x = 
and y = 
x ÷ y = ÷ = 
Take log of both sides we get
Logₐ(x÷y) = Logₐ
Logₐ(x÷y) =M-N logₐa
Logₐ(x÷y) =M-N
∴Logₐ(x÷y) = Logₐx - Logₐy
Answer:
f(x) and g(x) are closed under multiplication because when multiplied, the result remains a polynomial.
Step-by-step explanation:
First, to be closed means that once an operation has commenced, the result is a polynomial, just like the two original ones.
When polynomials are multiplied, exponents simply add together, and constants are multiplied. A polynomial is a finite sum of terms in which all variables have whole numbered exponents.
In this scenario, when we multiply polynomials, exponents are solely added together, and one whole number plus another is still a whole number. Similarly, constants multiplied by constants stay as constants, and constants multiplied by variables keeps it in polynomial form. (e.g. 3 * x² makes it 3x², and 3x² is fine in a polynomial).
Therefore, given these facts, f(x) and g(x) are closed under multiplication because when multiplied, the result remains a polynomial.
