Answer:
96 ft/s
Step-by-step explanation:
We can start by deriving the equation of the velocity, which is the derivative of the position equation:
![v(t) = \frac{ds}{dt} = (-16t^2)' + 800' = -32t](https://tex.z-dn.net/?f=v%28t%29%20%3D%20%5Cfrac%7Bds%7D%7Bdt%7D%20%3D%20%28-16t%5E2%29%27%20%2B%20800%27%20%3D%20-32t)
After 3 seconds, the wrench would achieve a speed of
v(3) = -32t = -32*3 = -96 ft/s
So it's falling at the rate of 96 ft per second after 3 s
Answer:
The value of x =10°
Step-by-step explanation:
Check attachment for solution.
Triangle theorem: the sum of the opposite interior angle is equal to the exterior angle.
<JKL+<LJK=<KLM
2x+14+3x+15=7x+9
Collect like terms
2x+3x-7x=9-14-15
-2x=-20
Divide both side by -2
x=10°
Answer:
X=18
Step-by-step explanation:
![\frac{9}{x} = \frac{1}{2} \\ 9 \times 2 = x \times 1 \\ x = 18](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7Bx%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5C%5C%209%20%5Ctimes%202%20%3D%20x%20%5Ctimes%201%20%5C%5C%20x%20%3D%2018)
Here you have to use cross multiplication
Answer:
-6
Step-by-step explanation:
The average rate of change of a function, f(x), on interval [a,b] is (f(b)-f(a))/(b-a).
So the avereage rate of change of a function, f(x)=x^2+5x+1, on [-9,-2] is
(f(-2)-f(-9))/(-2--9)
(f(-2)-f(-9))/(7)
Stop!
To find f(-2), you replace x in f(x) = x^2 + 5x + 1, with (-2) giving you f(-2)=(-2)^2+5(-2)+1=4-10+1=-6+1=-5.
To find f(-9), you replace x in f(x) = x^2 + 5x + 1, with (-9) giving you f(-2)=(-9)^2+5(-9)+1=81-45+1=36+1=37.
Continue!
(f(-2)-f(-9))/(7)
=(-5-37)/7
=(-42)/7
=-42/7
=-6