1. Acceleration is the rate of change of velocity, so is the slope of a velocity vs. time curve (which you are given here). The curve is not a straight line, so its slope is changing. Points on the right of the curve are higher than points on the left, so the slope is positive. The appropriate choice is
... changing positive acceleration
2. Units conversion is required.
The appropriate choice is
... 0.673 m/s²
3. As before, the slope of the curve is the acceleration. This curve goes up less than 1 m/s for each second horizontally, so the appropriate choice is
... 0.6 m/s²
Answer:
electric energy = 980 J
Step-by-step explanation:
Given,
Diameter of wind turbine = 100 m
Speed of wind,v = 7 m/s
Density of air = 1.25 kg/m
Hence, the total mass of air enters into turbine =Speed of wind x Diameter of wind turbine
= 1.25 x 100
= 125 kg
Hence, total mechanical energy of turbine can be given by,
= 3062.5 J
Efficiency of turbine = 32%
Hence,
total electric energy = 32% of mechanical energy
= 980 J
So, the total electric energy produced by the turbine will be 980 J.
Yes, because a negative number multiply by itself it is positive.
Answer: a11 = 3, a12 = 7, a21 = 1, a22 = -4
<u>Explanation:</u>
3x + 7y = 20
x - 4y = 9
A = ![\left[\begin{array}{ccc}3&7&20\\1&-4&9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%267%2620%5C%5C1%26-4%269%5Cend%7Barray%7D%5Cright%5D)
<u>column 1 </u> <u>column 2</u>
row 1: (a11) 3 (a12) 7
row 2: (a21) 1 (a22) -4
The pic is blurry, but looks like 18x²-21x-15
(3x-5)(6x+3) is the factored form.
3 and 6 are the factors of 18
-5, 3 or -3, 5 are the factors of -15
I line them up like this
3 -5
6 3
then I multiple them diagonally: 3*3=9, -5*6=-30, the sum of 9 and -30 is exactly -21, the coefficient for x. (If the sum doesn't make -21, I'd switch -5 and 3, or change to -3 and 5 to try again.)
so the factored form is (3x-5)(6x+3)
