<span>A city council wants to build a public park. Which of these taxes is it most likely to use to fund its effort?
</span><span>c. Property Tax</span>
Answer:
a)148.47
b)148.34
Step-by-step explanation:
Let π(x) be the prime-counting function that gives the number of primes less than or equal to x, for any real number x. For example, π(7) = 4 because there are four prime numbers (2, 3, 5, 7) less than or equal to 7.
We can see that π(7)=π(10) because there are four prime numbers (2,3,5,7) less than or equal to 10.
A good aproximation for π(x) is x / log x, where log x is the natural logarithm of x.
a)The number of primes between 1 and 1030.
1030/log(1030)=148.47
b) The number of primes between 1 and 1029.
1029/log(1029)=148.34
Extra: π(1029)=π(1030) because 1030 is not a prime.
The tops and bottoms of a trapezoid are parallel, and a polygon's volume and angles are always 360.As long as you know the shape and about three of the lengths, you can find the base.
It's B. You enter 4 instead of x on the right side and see what you get.
Half-life, h = 13 hours
Mass initial, a = 38 g
B=base for half-life = 2
(a)
I(t)=a*B^(-t/h)=a*(B^(1/h)^(-t)=a*(B^(-1/13))^t
Substituting values,
I(t)=38*(2^(-1/13))^t
a=38 g
b=2^(-1/13)=0.9480775 (approximately)
=>
I(t)=38*0.9480775^t
(b) I(t)=7
solve
I(t)=7=38*0.948077^t
Take log on both sides and solve for t
t=log(7/38)/log(0.948077)
=31.727 hours.
Check: I(31.727)=38*9.948077^(31.727)=7.000 g ok