Answer:
4th option
Step-by-step explanation:
using the rule of logarithms
= nlogx
- 8 = - 2 ( add 8 to both sides )
= 6 ( take the log of both sides )
log
= log6
7xlog3 = log6 ( divide both sides by 7log3 )
x =
≈ 0.23 ( to the nearest hundredth )
Answer:

Step-by-step explanation:


Answer:
A. 2006
Step-by-step explanation:
Given:
Number of male drivers model by equation 
Number of female drivers model by equation 
Where
⇒ the number of years since 1980
We need to find when will the number of licensed male drivers in the U.S. equal the number of licensed female drivers in the U.S.
Solution:
Now we can say that;
to find number of years when the number of licensed male drivers in the U.S. equal the number of licensed female drivers in the U.S we need to make both the equation equal we get;

Now Combining the like terms we get;

Now By using Division property dividing both side by 334.89 we get;

Now x is number of years after 1980.
So we can say that;
26 years after 1980 is 2006.
Hence Approximately in the year 2006 the number of licensed male drivers in the U.S. equal the number of licensed female drivers in the U.S.
Answer:
The exact value is 24
Step-by-step explanation:
The volume of a cone is 1/3 x pi x radius^2 x height, so after substituting the values, we have the equation 1/3 x 3.14 x 3^2 x 10, and we have 3^2 because the radius is half the diameter. First, 3^2 = 9, and 1/3 x 3.14 is approximately 1.046. 1.046 x 9 = 9.414, and lastly, 9.414 x 10 = 94.14. So the approximate volume of the funnel is 94.14.