Describe how you would classify the shape below on the hierarchy. Start at the top and describe how you know if the shape fits i
n each category and subcategory
1 answer:
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Answer:
False, counterexample below
Step-by-step explanation:
Denote the unit vectors of R^3 by . Now consider
and
. We have that
. Also, the vector
is not a linear combination of
because any linear combination of these two vectors will have third coordinate zero, but v_3 has third coordinate 1 so they can't be equal.
However, the set is not linearly independent, because
is a non-trivial linear combination of these vectors that equals zero.
Inequality is 6t ≤ 44 and Jim can rent a boat for 7.33 hrs or less
<u> Solution:</u>
Given that
Maximum amount Jim can spend to rent a boat = $34
Rental cost of boat for 1 hour = $6
Also Jim has a discount coupon for $8 off.
Need to determine possible number of hours Jim could rent a boat.
Let’s assume possible number of hours Jim could rent a boat be represented by variable "t"
Cost of renting boat for 1 hour = 6
So Cost of renting a boat for t hours = t x renting boat for 1 hour = t x 6 = 6t
Also Maximum amount Jim can spend to rent a boat = $34
As Jim has a discount coupon for $8 off, so Total amount Jim can spend to rent a boat = $ 34 + $ 8 = $ 44
So cost of renting a boat for t hours must be less that of equal to Total amount Jim can spend to rent a boat
=> 6t ≤ 44
On solving above equality for "t" we get ,
Hence inequality is 6t ≤ 44 and Jim can rent a boat for 7.33 hrs or less.