Answer:
After 5 minutes, the BAC was increasing at the rate of 0.0137 mg/mL a minute.
Step-by-step explanation:
The average blood alcohol concentration (bac) is modeled by the following function.
In which t is measured in minuted.
How rapidly was the BAC increasing after 5 minutes?
This is c'(t) when t = 5.
Using the derivative of the product.
Derivative of the product:
In which problem:
So
After 5 minutes, the BAC was increasing at the rate of 0.0137 mg/mL a minute.
Answer:
(negative 7 x + 4)(negative 7 x minus 4)
Step-by-step explanation:
Consider two real numbers a and b. A difference of squares involving a and b is usually given as;
The difference of the two squares above can be factored to yield;
This implies that in order to have the difference of squares we must have a product involving the difference and the sum of the numbers.
The expression;
(negative 7 x + 4)(negative 7 x minus 4) can also be written as ( 4 - 7x) ( -4 - 7x)
( 4 - 7x) ( -4 - 7x) = ( 4 - 7x) (-1( 4 + 7x)) = -1 *( 4 - 7x) ( 4 + 7x)
Expanding the last expression yields;
-1 (16 + 28x -28x - 49x^2) = -1 (16 - 49x^2) = 49x^2 - 16 which is in deed a difference of squares
Answer:
The two stadiums are approximately 3115.1 meters away from each other
Step-by-step explanation:
Since we can construct two right angle triangles between the blimp and the two stadiums as shown in the attached image, then the distance "x" between the two can be find as the difference between the right triangle legs that extend on the ground.
In order to find the size of such legs, one can use the tangent function of the given depression angles as shown below:
and for the other one:
The the distance between the stadiums is the difference:
b - a = 3405.7 - 290.6 meters = 3115.1 meters
