Hey there! :)
Answer:
r ≈ 4.38 cm.
Step-by-step explanation:
Find the radius by working backwards using the equation A = πr²:
Given:
A = 60.24 cm²
π = 3.14
Plug these into the equation:
60.24 = 3.14r²
Divide both sides by 3.14:
19.185 = r²
Take the square root of both sides:
r ≈ 4.38 cm.
Answer:
vertex = (- 3, - 8 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
f(x) = - 4(x + 3)² - 8 ← is in vertex form
with (h, k) = (- 3, - 8 ) ← vertex
15+(q/6)=-21
Subtract 15 from both sides
q/6= -36
Multiply both sides by 6.
q= -216
If we fit the data as calories as a function of wt loss/week, we need to arrange the data first from lowest to highest wt loss/week lbs and calories. Then, the set of points can be plotted in a graph and a graphical method of line fitting can be used. Curve fitting programs (which are also in the calculator) can be used. The result is:
y = -266.5741x + 2246.5116
The value of R² is 0.7109. The fit is not very good since R² is quite far from 0.99.