Answer: 
Step-by-step explanation:
By the Intersecting Secants Theorem, we know that:

Having this, we can find the value of "x" by solving for "x":
Applying Distributive property:

Subtract 25 from both sides of the equation:

And finally dviding both sides of the equation by 5, we get:

Answer:
The value of x that gives the maximum transmission is 1/√e ≅0.607
Step-by-step explanation:
Lets call f the rate function f. Note that f(x) = k * x^2ln(1/x), where k is a positive constant (this is because f is proportional to the other expression). In order to compute the maximum of f in (0,1), we derivate f, using the product rule.

We need to equalize f' to 0
- k*(2x ln(1/x) - x) = 0 -------- We send k dividing to the other side
- 2x ln(1/x) - x = 0 -------- Now we take the x and move it to the other side
- 2x ln(1/x) = x -- Now, we send 2x dividing (note that x>0, so we can divide)
- ln(1/x) = x/2x = 1/2 ------- we send the natural logarithm as exp
- 1/x = e^(1/2)
- x = 1/e^(1/2) = 1/√e ≅ 0.607
Thus, the value of x that gives the maximum transmission is 1/√e.
Answer:314202.434% are lawyers
Step-by-step explanation:
If domestic vehicles outnumber foreign vehicles by about three to two and vehicles in a country are 1925 then Domestic vehicles would be {(1925)x(3/5)} = 1155
Answer:
6.28
Step-by-step explanation:
This problem bother on the mensuration of flat shapes, a circle.
Volume v =
Diameter d= 
Radius r = 
Since we are required to solve for the circumference of a circle
The expression for the circumference of a circle is given as


The question insist that we type just a number hence the circumference
of the plug is 6.28