Answer:
A number less than 4 was rolled 18 times.
The number cube was rolled 50 times. The relative frequency of rolling a number less than 4 is 36%.
The correct answer to this question is:
Diameter - B) a segment <span>between two points on a circle that passes through its center radius
</span>
Circumference - <span> F) the distance around a circle
</span><span>
Radius - </span><span>C) Circle A and a line segment connecting points B and C which are on the circle.
</span><span>
secant - </span><span>E) Circle A and a line segment connecting points B and C which are on the circle.
</span><span>
concentric circles - </span><span>D) Two circles that share the same center.
</span><span>
arc - </span><span>A) a piece of the circumference of a circle circumference.</span>
ANSWER
30 students
EXPLANATION
The cost per student varies inversely as the number of students.
Inverse proportion is written as:

Let the cost per student be y.
Let the number of students be x.
It will cost each student $250 if 24 students attend. This means that:

If the cost is down to $200, it means that y is now $200.
That is:

Therefore, 30 students could attend.
Answer:
<em>All </em><em>real </em><em>numbers </em><em>are </em><em>greater </em><em>than </em><em>four</em>
Step-by-step explanation:
4+2=6
Answer:
14) The equation of the tangent line to the curve
at x = -1 is
15) The rate of learning at the end of eight hours of instruction is 
Step-by-step explanation:
14) To find the equation of a tangent line to a curve at an indicated point you must:
1. Find the first derivative of f(x)

2. Plug x value of the indicated point, x = -1, into f '(x) to find the slope at x.

3. Plug x value into f(x) to find the y coordinate of the tangent point

4. Combine the slope from step 2 and point from step 3 using the point-slope formula to find the equation for the tangent line

5. Graph your function and the equation of the tangent line to check the results.
15) To find the rate of learning at the end of eight hours of instruction you must:
1. Find the first derivative of f(x)
![w(t)=15\sqrt[3]{t^2} \\\\\frac{d}{dt}w= \frac{d}{dt}(15\sqrt[3]{t^2})\\\\w'(t)=15\frac{d}{dt}\left(\sqrt[3]{t^2}\right)\\\\\mathrm{Apply\:the\:chain\:rule}:\quad \frac{df\left(u\right)}{dx}=\frac{df}{du}\cdot \frac{du}{dx}\\\\f=\sqrt[3]{u},\:\:u=\left(t^2\right)\\\\w'(t)=15\frac{d}{du}\left(\sqrt[3]{u}\right)\frac{d}{dt}\left(t^2\right)\\\\w'(t)=15\cdot \frac{1}{3u^{\frac{2}{3}}}\cdot \:2t\\\\\mathrm{Substitute\:back}\:u=\left(t^2\right)](https://tex.z-dn.net/?f=w%28t%29%3D15%5Csqrt%5B3%5D%7Bt%5E2%7D%20%5C%5C%5C%5C%5Cfrac%7Bd%7D%7Bdt%7Dw%3D%20%5Cfrac%7Bd%7D%7Bdt%7D%2815%5Csqrt%5B3%5D%7Bt%5E2%7D%29%5C%5C%5C%5Cw%27%28t%29%3D15%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%28%5Csqrt%5B3%5D%7Bt%5E2%7D%5Cright%29%5C%5C%5C%5C%5Cmathrm%7BApply%5C%3Athe%5C%3Achain%5C%3Arule%7D%3A%5Cquad%20%5Cfrac%7Bdf%5Cleft%28u%5Cright%29%7D%7Bdx%7D%3D%5Cfrac%7Bdf%7D%7Bdu%7D%5Ccdot%20%5Cfrac%7Bdu%7D%7Bdx%7D%5C%5C%5C%5Cf%3D%5Csqrt%5B3%5D%7Bu%7D%2C%5C%3A%5C%3Au%3D%5Cleft%28t%5E2%5Cright%29%5C%5C%5C%5Cw%27%28t%29%3D15%5Cfrac%7Bd%7D%7Bdu%7D%5Cleft%28%5Csqrt%5B3%5D%7Bu%7D%5Cright%29%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%28t%5E2%5Cright%29%5C%5C%5C%5Cw%27%28t%29%3D15%5Ccdot%20%5Cfrac%7B1%7D%7B3u%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%7D%5Ccdot%20%5C%3A2t%5C%5C%5C%5C%5Cmathrm%7BSubstitute%5C%3Aback%7D%5C%3Au%3D%5Cleft%28t%5E2%5Cright%29)

2. Evaluate the derivative a t = 8

The rate of learning at the end of eight hours of instruction is 