the general equation for velocity in terms of acceleration and displacement is: v² = v₀² + 2ax.
Solve for a: a = (v² - v₀²)/(2x).
You are given v₀ and v, and x is easy to calculate since you are given its initial and final values. The rest is just arithmetic.
(note also: SI expressions have a required space between the coefficient and the unit symbol. Thus you should have things such as “15 m” and “-2 m·sˉ¹” instead of “15m” and “-2m·sˉ¹”.)
Answer:
length = 20/9 yards
breadth = 17/5 yards
area = length x breadth
= 20/9 x 17/5 = 7 5/9 sq. yards
Answer:
3. x + 18.
4. 8n + 16
Step-by-step explanation:
3. We have to calculate the area of wood present in the frame whose dimensions are given with the question.
Requires area = {(x + 3) × 1} + [(4 - 1) × {(x + 3) - (x - 2)}] = x + 3 + 3 × 5 = x + 18. (Answer)
4. The sum of four consecutive odd numbers where 2n + 1 is the smallest odd number will be
= (2n + 1) + (2n + 3) + (2n + 5) + (2n + 7)
= 8n + 16 (Answer)
The derivative of (x+1)^2, for this you use the chain rule, to get 2x+2.
1. Pants=2, shirts= 3
# outcomes 2*3=6
2. Flavors=3, toppings= 4
# outcomes 3*4= 12
3. Type=3, color=3
# outcomes 3*3= 9
