Answer:
3
Step-by-step explanation:
Here we have the function

We want to find the following ratio:

Note that the limit of this for
is equivalent to the derivative of the function.
Here we have:

And

Therefore we have

And therefore,

Answer:
165 Students Have No Made Plans For Lunch.
Step-by-step explanation:
According To the Question,
- Given,On a school trip to a theme park, 4 busses each carry 70 students Then Total Number Of Students on a trip is 70×4=280 Students.
- And,35% of the students are bringing their own lunch. Thus,35% Of 280 Students is 98 Students. Then Remaining 182 Students not bring their own lunch.
Now, 17 of the students are buying lunch when they get to the theme park. Thus students Who have not made plans for lunch is 182-17⇒165Students
<h3>
Answer: 985</h3>
=============================================
Work Shown:
A = amount after t hours
P = initial amount = 100
r = growth rate in decimal form = 0.10
t = number of hours = 24
--------
A = P*(1+r)^t
A = 100(1+0.10)^24
A = 100*(1.10)^24
A = 100*9.84973267580762
A = 984.973267580762
A = 985
To answer this problem, let p be the price of each scrub. The total bill (t) is the sum of the price of the potting soil (s) and of the 9 scrubs (n). This is depicted in the equation,
$11.50 + 9p = $94.75
The value of p from the equation is 9.25. Thus, each scrub costs $9.25. The answer is letter C.
According to the given information, the equation represents a line that is tangent to the circle and goes through the point W is given by:
y = -x + 6.
<h3>What is the equation of the circle?</h3>
The equation of a circle of center
and radius r is given by:

In this problem, we have that the center is at point (0,2), hence:

It goes through point (3,3), hence:


Hence, the equation is:

<h3>What is the equation of the tangent line at point W?</h3>
It is given by:

Applying implicit differentiation, we have that:


Point W(3,3), hence:


Hence the equation is:
y - 3 = -(x - 3).
y = -x + 6.
More can be learned about the equation of a tangent line at brainly.com/question/8174665