Answer:
There are a few rules that we can use here:
ln(a^x) = x*ln(a)
ln(a) - ln(b) = ln(a/b)
ln(1) = 0
So here we want to expand:
ln(1/49^k)
First we can use the second property to get:
ln(1/49^k) = ln(1) - ln(49^k)
using the third property, we have:
ln(1/49^k) = ln(1) - ln(49^k) = 0 - ln(49^k)
ln(1/49^k) = - ln(49^k)
Now we can use the first property to get:
ln(1/49^k) = - k*ln(49)
Now we can use the fact that:
49 = 7*7 = 7^2
then:
- k*ln(49) = -k*ln(7^2) = -2*k*ln(7)
So we have:
ln(1/49^k) = (-2*ln(7))*k
We can expand it anymore because this is a real number "(-2*ln(7))" times a variable k.
Answer:
d. 5(d - 4)
Step-by-step explanation:
the entrance fee is d dollars
a booklet of ride tickets cost 2.5 times the entrance fee = 2.5d
a meal ticket costs $4 less than the entrance fee = d - 4
One meal ticket costs d - 4.
Five meal tickets cost 5(d - 4).
Answer: d. 5(d - 4)
The midpoint of a line segment is the average of the endpoint's coordinates, mathematically:
mp=((x1+x2)/2, (y1+y2)/2)
In this case:
(-4,6)=((8+x)/2, (-2+y)/2)
(-8,12)=((8+x),(y-2))
(-16, 14)=(x,y)
Answer:
i think its 16/34
Step-by-step explanation:
The answer would be 10.19m. If you want to round it of to a less precise measurement it would be 10 m. That is rounding of the decimal value to the ones place. the rule of rounding of is form 6 t0 9 it would add 1 to the nearest place value next to it and 0 - 5 will not.
