A new fast-food firm predicts that the number of franchises for its products will grow at the rate dn dt = 6 t + 1 where t is the number of years, 0 ≤ t ≤ 15.

The answer is "253"

Step-by-step explanation:

In the given- equation there is mistype error so, the correct equation and its solution can be defined as follows:

Given:

integrate the above value:

When the value of n=1 then t=0

so the value of  n is:

when we put the value t= 15 then,

A.The diameter of the circle is used for the square construction, but the radius of the circle is used for the regular hexagon construction.

Step-by-step explanation:

Hello,

When constructing a square, the steps followed are;

Using a compass draw a circle with center OUsing a straight edge, draw the diameter of the circle ,lets say ABDraw a perpendicular bisector of the diameter ABwhere the bisector cuts the circle mark as C and DConnect A,B,C,D to form the square.

Here you notice that the diameter has been used .

When constructing a regular hexagon, you follow;

Draw a circle of radius r and maintain the radiusMark a point on the circumference of the circle as PUsing the radius of the circle as the compass length, place the compass at P and draw an arc across the circumference of the circleRepeat the procedure till you return to point PStarting at point P connect each arc on the circle to form the hexagon.

Here the radius of the circle is used for construction of the hexagon.

Hope this Helps!