Circumference = πd = 3.14*559 = 1755.26
The spokes divide the circumference into 32 arcs. Each arc length is 1755.26/32 = 54.75 mm
Answer:
9. B, C, D
10. A, D, E
Step-by-step explanation:
9. A. Students who bring lunch do not represent cafeteria purchases.
B. - D. Are randomized.
10. A. 1/4 of 50 is 12.5. about equal to 12
B. 12% of 50 is 6. not equal to 12
C. 12 ÷ 50 = 24. 3,000 × 0.24 = 720. not less than 500
D. (see above work) 720 = 720
E. 3,000 - 720 = 2,280. more than 2,000
Answer:
y=24x
Step-by-step explanation:
(48-24)/(2-1)=24/1
24=24(1)+b
24=24+b
b=0
Looks like the given curve is
5<em>xy</em> + <em>z</em>⁴<em>x</em> - 3<em>yz</em> = 3
Differentiate both sides with respect to <em>x</em> :
5<em>y</em> + 4<em>z</em>³<em>x</em> ∂<em>z</em>/∂<em>x</em> + <em>z</em>⁴ - 3<em>y</em> ∂<em>z</em>/∂<em>x</em> = 0
Solve for ∂<em>z</em>/∂<em>x</em> :
(4<em>z</em>³<em>x</em> - 3<em>y</em>) ∂<em>z</em>/∂<em>x</em> = - (5<em>y</em> + <em>z</em>⁴)
∂<em>z</em>/∂<em>x</em> = - (5<em>y</em> + <em>z</em>⁴) / (4<em>z</em>³<em>x</em> - 3<em>y</em>)
At the point (1, 1, 1), this derivative is
∂<em>z</em>/∂<em>x</em> (1, 1, 1) = - (5 + 1) / (4 - 3) = -6