Answer:
68.
Step-by-step explanation:
The common difference d = -19 - (-22) = 3
So the 31st term =
a31 = -22 + (31-1)3
= -22 + 90
= 90 - 22
= 68.
Usually, Δ stands for a difference: if you have two quantities a₂ and a₁, their difference a₂-a₁ can be shortened as Δa.
This said, your formula is not set up correctly: the linear speed can be found with the formula:
v = ω·r
where r is the radius and <span>ω is the angular frequency, which is given by:
</span>ω = Δα / Δt
Substituting this into the one above, you find the correct formula:
<span>v = (Δα / Δt) · r
The problem gives you directly </span>Δα, which is 1/3 rad, because does not say at what angle the point started moving and at what angle it stopped.
Similarly, for the time you have Δt, which is 20 s.
Therefore, plugging in the numbers you get:
v = (Δα / Δt) <span>· r = (1/3 </span>÷ 20) × 10 = 1/6 = 0.167 cm/s
Answer:
y = (1/3)x +5/3
Step-by-step explanation:
The general equation of a line is
y = mx+b
where m is the slope and b the y-intercept
Since the slope is 1/3 we have
y = (1/3)x +b
since the line passes through (x,y) = (-2,1) this point satisfies the equation
1 = (1/3)(-2) + b ===> b = 1+2/3 ===> b = 5/3
and the equation of the line is
y = (1/3)x +5/3
Answer:7
Step-by-step explanation: the answer is 7
Answer:
factorization of 129 = 3 x 43
B is correct Option
Step-by-step explanation:
factorization of 129 = 3 x 43
129/3
43/43
1