Here are three problems:
8/10 + 1/5 = 1
9/10 + 2/20 = 1
5/20 + 3/4 = 1
assuming b is the underscript of log, the formula is log _b_3=-8.
the formula for log is usually log_b_x=n, and to convert it to exponential would be the same as b^n=x
just fill in the numbers, b is still b, and -8 will be the in place of n, equal to 3.
b^-8=3
9514 1404 393
Answer:
g, h, f
Step-by-step explanation:
A graph of two exponential curves will have the one with the least growth rate crossing under the one with the greater growth rate. Here, f(x) is shown crossing under g(x) and is on its way to a point of intersection with h(x). So, f(x) has the least growth rate.
g(x) and h(x) start out at about the same level, but g(x) curves upward faster, indicating it has the higher growth rate.
In order from greatest to least growth rate, the functions are ...
g(x), h(x), f(x)
A = 113.1
so the formula for the area of a circle is
A = pi x r^2
-pi is 3.14(rounded)
-r stands for the radius of the circle which is half the diameter so for this circle your r or radius is 6 and the radius is just squared
so when you plug the numbers in the formula it is
A = 3.14 x 6^2(squared)
A = 3.14 x 36
A = 113.1
The <em><u>correct answer</u></em> is:
Ken will have run 3 laps and Hamid will have run 4.
Explanation:
To find this, we first find the number of seconds that will have passed when they meet again. We use the LCM, or least common multiple, for this. First we find the prime factorization of each number:
80 = 10(8)
10 = 5(2)
8 = 2(4)
4 = 2(2)
80 = 2(2)(2)(5)(2)
60 = 10(6)
10 = 5(2)
6 = 2(3)
60 = 2(2)(3)(5)
For the LCM, we multiply the common factors by the uncommon. Between the two numbers, the common factors are 2, 2 and 5. This makes the uncommon 2, 2, and 3, and makes our LCM
2(2)(5)(2)(2)(3) = 240
This means every 240 seconds they will both be at the start line.
Since Ken completes a lap in 80 seconds, he completes 240/80 = 3 laps in 240 seconds.
Since Hamid completes a lap in 60 seconds, he completes 240/60 = 4 laps in 240 seconds.