Answer:
84 complete turns
Step-by-step explanation:
In order to find the number of turns that the bicycle wheel is going to take while going 792 feet, we need to find the circumference of the wheel.

Answer:
Answer is B
Step-by-step explanation:



F = t ⇨ df = dt
dg = sec² 2t dt ⇨ g = (1/2) tan 2t
⇔
integral of t sec² 2t dt = (1/2) t tan 2t - (1/2) integral of tan 2t dt
u = 2t ⇨ du = 2 dt
As integral of tan u = - ln (cos (u)), you get :
integral of t sec² 2t dt = (1/4) ln (cos (u)) + (1/2) t tan 2t + constant
integral of t sec² 2t dt = (1/2) t tan 2t + (1/4) ln (cos (2t)) + constant
integral of t sec² 2t dt = (1/4) (2t tan 2t + ln (cos (2t))) + constant ⇦ answer
Answer:
The correct answer is A.

Step-by-step explanation:
Method 1
You just have to plot each point on the graph.
The one that falls within the solution region is the correct choice.
From the graph,
falls within the solution region.
See graph
Method 2
If you substitute the points into the inequalities, the only point that will satisfy both inequalities simultaneously is A.
The first inequality is

If we substitute
, we get;


This statement is true.
The second inequality is

If we substitute
, we get;

This gives,

This statement is also true.
A system of equations for this would be
19x + 11y = 273
and
12x + 17y = 283.
X is the amount of minutes to solve one long division problem and y is the amount of minutes to solve a graphing problem.
How To Solve This System of Equations.
Multiply both by 17 and 11 respectively for them to have the greatest common factor for y. So now both equations are:
323x + 187y= 4641
132x + 187y= 3113.
Subtract both equations and you have left:
191x = 1528.
Divide both sides by 191 and you find x.
X = 8.
Answer
It takes Sally 8 minutes to do one Long Division Problem.
Hope this helped. ;)