The percentage change in G is 21 %
<h3>What is Percentage change ?</h3>
Percentage change is defined as the increase or decrease in the value as compared to the original value multiplied by 100.
It is given that
G = ab
when a is increased by 10% the new a will be = 1.1 a
When b is increased by 10% the new b will be 1.1 b
So,
G' = 1.1a *1.1 b
G' = 1.21 ab
G' = 1.21
(G' - G)*100/G = (1.21-1)*100/1
The percentage change is 21 %
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6-2x=6x-10x+20 solve for x
combine like terms and get all to the same side of equation
6-2x+10x-6x=20
10x-2x-6x+6=20
8x=20-6
8x=14
x=14/8=7/4
Answer:
The probability that a randomly selected carton has a puncture or a smashed corner is 0.143
Step-by-step explanation:
we know that P(A∪B) = P(A) + P(B) - P(A∩B).
since given that P(A) = Probability of getting puncture = 0.08
P(B) = probability of getting smashed corner = 0.07
P(A∩B) = probability of getting both puncture and smashed corner = 0.007
P(A∪B) = probability of getting any of them
so P(A∪B) = 0.08 + 0.07 -0.007 = O.143
Answer:
9 hours
Step-by-step explanation:
Let :
Landon hours = x
Ben hours = y
x + y = 14 - - (1)
60x + 56y = 820 - - - (2)
From (1)
y = 14 - x
60x + 56(14 - x) = 820
60x + 784 - 56x = 820
4x = 820 - 784
4x = 36
x = 36/4
x = 9
Landon drove for 9 hours
Answer:

Time for bacteria count reaching 8019: t = 2.543 hours
Step-by-step explanation:
To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:




Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:


Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.