Answer:
9. 70° 10. 90° 11. 110°
Step-by-step explanation:
12. 25°
13. 95°
14. 20°
<h3>
Answer: 30</h3>
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Explanation:
"Use 3 for pi" is something I've never seen a teacher do before. Usually it's "use 3.14 for pi".
Anyway, the diameter of this cylinder is 2 inches, which cuts in half to 1 inch. This is the radius.
The height is 10 inches.
So we have r = 1 and h = 10
V = pi*r^2*h
V = 3*1^2*10
V = 30 cubic inches approximately
Answer:
(2,6)
Step-by-step explanation:
3 bottles of juice
6.72/3 = $2.24 < amount paid for each bottle
11 bottles of juice
24.86/11 = $2.26 <amount paid for each bottle
9 bottles of juice
20.25/9 = $2.25 < amount paid for each bottle
16 bottles of juice
35.68/16 = $2.23 < amount paid for each bottle
*the best buy would be to get 16 bottles for $35.68*
10 bars of soap
23.20/10 = $2.32 < amount for each bar of soap
16 bars of soap
36.48/16 = $2.28 < amount for each bar of soap
13 bars of soap
29.51/13 = $2.27 < amount paid for each bar of soap
12 bars of soap
27.60/12 = $2.30 < amount for each bar of soap
*the best buy would be to get 13 bars of soap for $29.51*
hope this helps :)
If f(x)=x^2-8x-20 then
dy/dx=2x-8 and d2y/dx2=2
A) Since acceleration is a constant positive the parabola opens upward.
B) Since acceleration is a constant positive the parabola will have a vertex at an absolute minimum
C) The vertex will occur when dy/dx=0, 2x-8=0, 2x=8, x=4
So the axis of symmetry is the vertical line x=4.
The vertex is y(4)=-36, corresponding to the vertex point (4,-36)
The y-intercept occurs when x=0, y(0)=-20, so the y-intercept is the point (0,-20)