Answer:
2.9 years
Step-by-step explanation:
Given that :
Half-life t1/2 = 9 years
Initial mass = I = 70 grams
A = final mass = 56 grams
t = time taken to reach final amount
Using the exponential half life relation :
A = I(0.5)^t/t1/2
56 = 70(0.5)^t/9
56/70 = 0.5^t/9
0.8 = 0.5^t/9
Log 0.8 = log 0.5^t/9
−0.096910 = −0.301029 * t/9
t/9 = 0.096910 / 0.301029
t/9 = 0.3219291
t = 0.3219291 * 9
t = 2.8973619
t = 2.9 years
The combined total profit is (17x + 2502) dollars
<em><u>Solution:</u></em>
Profit for each Mp3 player = $ 35
Profit for each DVD player = $ 18
Let x be the number of MP3 players sold last week
Number of MP3 players = x
Last week, Techwiz sold a combined total of 139 MPS and DVD players
Total number of mp3 and dvd sold = 139
Number of DVD player = 139 - x
<em><u>Write an expression for the combined total profit (in dollars) Techwiz made from MP3 and DVD players last week.</u></em>
Combined total profit = Number of MP3 players x Profit for each Mp3 player + Number of DVD player x Profit for each DVD player

Thus the combined total profit is (17x + 2502) dollars
Answer:
a) True
b) False
c) False
d) False
e) True
Step-by-step explanation:
a) Each basis of V has four vectors. Then any set of 5 vectors must be linear dependent (LD).
b) Suppose that
is a basis of V. Considere the set
where
are scalars. The set has 5 vectors but
because
is not belong to A and
is linear independent of
c) Suppose that
is a basis of V. Considere the set
where
are scalars. A has four nonzero vectors but isn't a basis because is a LD set.
d) Suppose that
is a basis of V. Considere the set
where
are scalars. A has 3 nonzero vectors but isn't a basis because is a LD set.
e) Since any basis of V must have 4 elements, then a set of three vectors cannot generate V.
The answer is D because all sides are 48 inches and it’s 3 sides to a triangle.