Answer:
17 in
Step-by-step explanation:
Rectangle:
(4*2)+(5*2)
8+10 =18
Triangle:
5+4+3 =12
Both:
12+18 = 30
minus where the rectangle and triangle are together
30-3 = 17
Using the formula S = ut +1/2at²
S=h= 20ft, u = 2ft/s, and a = 10m/s²
Thus; 20 =2t + 20t²
Therefore; 20t²+2t-20=0
Solving the equation quadratically for the value of t,
we get; t = 1.057 or t=-1.182
But t can not be negative,
Therefore, t= 1.1 seconds (to the nearest tenth)
Answer: The solutions are x = 3+sqrt(2), and x = 3-sqrt(2). The quadratic equation has two solutions because it has a positive discriminant.
Step-by-step explanation:
Using the quadratic formula, we have: 6+-sqrt(8)/2, which become 3+-sqrt(2).
Answer:
its 12
Step-by-step explanation:
you just simply divide 16x3/4 and you should get 12
Answer:

the estimate the percent change in q when the price is raised from $2.00 to $2.10 decreases by 25%
Step-by-step explanation:
Given that:
the number of units demanded 
Taking differentiations ; we have,


Now; the price elasticity of demand using the differentials definition of elasticity is:

![E(p) =[(1-3)e^{-3p}]*[\dfrac{p}{pe^{-3p}}]](https://tex.z-dn.net/?f=E%28p%29%20%3D%5B%281-3%29e%5E%7B-3p%7D%5D%2A%5B%5Cdfrac%7Bp%7D%7Bpe%5E%7B-3p%7D%7D%5D)

(b) Use your answer from part (a) to estimate the percent change in q when the price is raised from $2.00 to $2.10.
The estimate of the percentage change in price is :

= 5%
From (a)

Now at p = $2.00
E(2) = 1 - 3 (2.00)
E(2) = 1 - 6
E(2) = -5
The percentage change in q = -5 × 5%
The percentage change in q = -25%
Thus; we can conclude that the estimate the percent change in q when the price is raised from $2.00 to $2.10 decreases by 25%