Make use of prime factorizations:
Both terms have a common factor of 
:
- - -
The second one is not true! We can write
Both terms have a common factor of 
:
Since 
, and 
, we'd still have to show that 
is a multiple of 6. This is impossible, because 
and there is no multiple of 2 that can be factored out.
:<span> </span><span>You need to know the derivative of the sqrt function. Remember that sqrt(x) = x^(1/2), and that (d x^a)/(dx) = a x^(a-1). So (d sqrt(x))/(dx) = (d x^(1/2))/(dx) = (1/2) x^((1/2)-1) = (1/2) x^(-1/2) = 1/(2 x^(1/2)) = 1/(2 sqrt(x)).
There is a subtle shift in meaning in the use of t. If you say "after t seconds", t is a dimensionless quantity, such as 169. Also in the formula V = 4 sqrt(t) cm3, t is apparently dimensionless. But if you say "t = 169 seconds", t has dimension time, measured in the unit of seconds, and also expressing speed of change of V as (dV)/(dt) presupposes that t has dimension time. But you can't mix formulas in which t is dimensionless with formulas in which t is dimensioned.
Below I treat t as being dimensionless. So where t is supposed to stand for time I write "t seconds" instead of just "t".
Then (dV)/(d(t seconds)) = (d 4 sqrt(t))/(dt) cm3/s = 4 (d sqrt(t))/(dt) cm3/s = 4 / (2 sqrt(t)) cm3/s = 2 / (sqrt(t)) cm3/s.
Plugging in t = 169 gives 2/13 cm3/s.</span>
The answer is 6.5
Explanation : 1. Find out the increase number by subtracting 4.58 - 4.30 = 0.28 or 6.51%
2. Divide the increase number 0.28 by 4.30 and multiple by 100 which gives you 6.51162791 .
3. Get rid of all the numbers behind 5 and you can’t round it because 1 is too small. Which then gives you the answer 6.5 :) <3
Answer:
v = 
Step-by-step explanation:
Given
t = 
( multiply both sides by 4 to clear the fraction )
4t = 3v + 1 ( subtract 1 from both sides )
4t - 1 = 3v ( divide both sides by 3 )
= v
Answer:
the correct answer is B
Step-by-step explanation:
