The angular velocity is defined by the position angle over time.
Get first the position angle of the pendulum which has the formula of s = rθ where s = arc length, r = radius (or length of the pendulum's string), and θ = position angle. Getting θ, we have <span>θ = s/r = 14.13 ft / 6 ft = 2.355 rad
Thus, the angular velocity is </span>θ/t where t = time; so 2.355 rad / 3 sec = 0.785 rad/sec
Hope this helps.
There are 1000 meters in 1 kilometer so you can set up a proportion to find the number of meters. 1000m / 1km = x / 40075 km cross multiply and you get the answer of 40,075,000 meters. To change to scientific notation, move the decimal point next to the 4 (becuase 4.0075 is less than 10) and you get the answer of 4.0075 x 10^7 meters.
<span>If you used the phone 130 minutes from 6 am to 7 pm, that would cost $13.00. 400 minutes from 7 pm to 6 am at a 10% discount would cost you $36.00. Add totals to get $49.00. Tax at 6% is 2.94. Your total bill would be $51.94.
Total bill = (0.10+0.06) x 130 + (0.10+0.06) x 400 x 0.90
= $ 51.94</span>
Answer:
Standard deviation is a number used to tell how measurements for a group are spread out from the average (mean), or expected value. A low standard deviation means that most of the numbers are close to the average. A high standard deviation means that the numbers are more spread out.
Step-by-step explanation:
Answer:
We have expanded formula of (-4x-1)² = a²+2ab+b².
So, we write the formula in square form as (a+b)².
Since we have a²-b² in step 4. We further write this as (a+b)(a-b). This is the factor formula of a²-b².
As we had two terms in place of in (a+b)(a-b), we multiply the term 'b' with '+' and '-' sign respectively.
Write the second expression given in the question.
Write the terms in the form of cube.
Write the factor formula of a³-b³) in the form of (a-b)(a²+ab+b²).
Write the H.C.F. (Highest Common Factor) of the given expressions by analysing the factors you generated in each expressions. Here, (4x²+2x+1) are the common factors.
