9514 1404 393
Answer:
a = 3, b = 12, c = 13
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
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You seem to have ...
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<em>Additional comment</em>
I find it easy to remember the rules of exponents by remembering that <em>an exponent signifies repeated multiplication</em>. It tells you how many times the base is a factor in the product.
Multiplication increases the number of times the base is a factor.
Similarly, division cancels factors from numerator and denominator, so decreases the number of times the base is a factor.
Answer:
A 100 lb person will weight 40 lb on Mars
Step-by-step explanation:
Given:
Weight on Mars directly varies as its weight on earth.
Let weight on Mars be = 
Let weight on Earth be = 
Its known that:
∝
Thus
where 
is constant of proportionality.
when 
, then 
thus, we have
dividing both sides by 95.
∴ 
Thus when 
, would be calculated as
∴ 
(Answer)
∴ A 100 lb person will weight 40 lb on Mars.
Answer:
f(x) = |x|, f(x) = [x] + 6
Step-by-step explanation:
Almost all of these are absolute values equations, which means the y doesn't change if x is positive or negative. The first one is the parent form, which is the simplest equation of the absolute equation, so it's symmetric with respect to the y-axis. The second equation is translated 3 units to the left, and the third is translated 31 to the left. The forth is translated 6 up, so it's still symmetric with respect to the y-axis. The fifth is translated 61 units left, and the last one is simply a line, which isn't symmetric.
Answer:
a) 42. b) 64. c) 39.
Step-by-step explanation:
a. 6 x 7 = 42
b. 8 x 8 = 64
c. 3 x 13 = 39
Answer:
Step-by-step explanation:
