Initial velocity: v o = 30 m/s
h = 75 m
h = v o * t + g * t² / 2
75 = 30 · t + 9.8 · t² / 2
75 = 30 t + 4.9 t²
An equation is:
y = 4.9 t² + 30 t - 754.9 t² + 30 t - 75 = 0
t = 1.9 s
Answer:
3:5 <em>the colon is needed to represent the ratio</em>
Step-by-step explanation:
r = 10
g = 4
y = 30 - 14 = 6
y = 6
so ratio of total balls is 10:4:6
and ratio of y:r is
6:10
simply by dividing by 2
3:5
Answer:
One piece of fabric: 10 x 6, or 60.
If one triangle is 15, she can cut 4 triangles from each piece of fabric.
If she has 24 pieces of fabric, she can cut 4 x 24, or 96 triangle patches.
Let me know if this helps!
Answer:
c
Step-by-step explanation:
i think c but not sure
Answer:
The fourth term of the expansion is -220 * x^9 * y^3
Step-by-step explanation:
Question:
Find the fourth term in (x-y)^12
Solution:
Notation: "n choose k", or combination of k objects from n objects,
C(n,k) = n! / ( k! (n-k)! )
For example, C(12,4) = 12! / (4! 8!) = 495
Using the binomial expansion formula
(a+b)^n
= C(n,0)a^n + C(n,1)a^(n-1)b + C(n,2)a^(n-2)b^2 + C(n,3)a^(n-3)b^3 + C(n,4)a^(n-4)b^4 +....+C(n,n)b^n
For (x-y)^12, n=12, k=3, a=x, b=-y, and the fourth term is
C(n,3)a^(n-3)b^3
=C(12,3) * x^(12-3) * (-y)^(3)
= 220*x^9*(-y)^3
= -220 * x^9 * y^3
