Answer:
Smax = 676 ft
the maximum altitude (height) the rocket will attain during its flight is 676 ft
Step-by-step explanation:
Given;
The height function S(t) of the rocket as;
S(t) = -16t2 + 208t
The maximum altitude Smax, will occur at dS/dt = 0
differentiating S(t);
dS/dt = -32t + 208 = 0
-32t +208 = 0
32t = 208
t = 208/32
t = 6.5 seconds.
The maximum altitude Smax is;
Substituting t = 6.5 s
Smax = -16(6.5)^2 + 208(6.5)
Smax = 676 ft
the maximum altitude (height) the rocket will attain during its flight is 676 ft
Answer:
D. x^2 +14x + 40
Step-by-step explanation:
(x+4)(x+10)
x^2+10x+4x+40
x^2+14x+40
Answer:
The border will be 18.6 inches wide
Step-by-step explanation:
<em>Let the width be w</em>
<em>The length = 43 inches</em>
<em>Total wood = 800 square inches</em>
Formula for area of rectangle = length x width
<em>800 = 43 x w</em>
<em>w = 800/43</em>
w = 18.6 inches
Therefore, the border will be 18.6 inches wide.
!!
Answer:
28
Step-by-step explanation:
Here is the complete question used in answering this question :
Three-fourths of the boats in the marina are white. 4/7 of the remaining boats are blue , and the rest are red . If there are 9red boats, how many boats are in the marina?
We first have to determine the fraction of the boats that are red
1 - ( + )
1 -
1 -
1 - 1
= 9/28
so, 9/28 of the boats are red
let b represent the total number of boats
9/28 x b = 9
to find b, divide both sides of the equation by 28/9
b = 28