Answer:
x = 9, GH = 21, CD = 17
Step-by-step explanation:
Quadrilateral CDEF is a trapezoid in which G and H are mid points of the sides CF and DE respectively.
In a trapezoid, segment joining the mid points is equal to the half of the sum of the parallel sides.
Answer:
r ll s
Step-by-step explanation:
The easiest way to solve thi is to draw a picture .
P and Q are parallel, so draw those as two opposite seides of a square.
R and P are perpendictular so draw that as the top line of the square. Since it is perpendicular to P, R has to be perpendictular to Q.
Draw line S as the bottom line of the square and the same rules apply, so R is parallel to S
R*F = 5LF, R*M = 9LM, L*F + L*M = 18, R*F + R*M = 122.
<span>RF=50, </span><span>LF=10</span><span>, RM=72</span><span>, LM=8. Fill in the graph with this info and assume there aren't people that are transgender</span>
If is a homomorphism, then we have, for every
Since G is abelian, we have , and thus
But we also have
which proves that G' is abelian.
In other words, for every , you have , because there exist such that , and you can think of as , and of and
Then, you observe that because they mean , and by hypothesis, because G is abelian.
Answer:
The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.
Step-by-step explanation:
After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.
This means that the amount of caffeine after t hours is given by:
In which A(0) is the initial amount and k is the decay rate, as a decimal.
The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.
1 - 0.2722 = 0.7278, thus, . We use this to find k.
Then
What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?
We have to find find A(5), as a function of A(0). So
The decay factor is:
1 - 0.8531 = 0.1469
The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.