Answer:
yes
Step-by-step explanation:
Answer:
<h3>A) 204m</h3><h3>B) 188m</h3>
Step-by-step explanation:
Given the rocket's height above the surface of the lake given by the function h(t) = -16t^2 + 96t + 60
The velocity of the rocket at its maximum height is zero
v = dh/dt = -32t + 96t
At the maximum height, v = 0
0 = -32t + 96t
32t = 96
t = 96/32
t = 3secs
Substitute t = 3 into the modeled function to get the maximum height
h(3) = -16(3)^2 + 96(3) + 60
h(3) = -16(9)+ 288 + 60
h(3) = -144+ 288 + 60
h(3) = 144 + 60
h(3) = 204
Hence the maximum height reached by the rocket is 204m
Get the height after 2 secs
h(t) = -16t^2 + 96t + 60
when t = 2
h(2) = -16(2)^2 + 96(2) + 60
h(2) = -64+ 192+ 60
h(2) = -4 + 192
h(2) = 188m
Hence the height of the rocket after 2 secs is 188m
IN ORDER TO FIND THE ANSWER:
Add up two of the values. If they are greater than the third, the lengths can make up a triangle.
3 + 9 = 12
12 > 14? No
3 + 5 = 8
8 > 7? Yes
1 + 2 = 3
3 > 3? No
4 + 4 = 8
8 > 8? No
The answer would be B.
Answer:
Number of gallons of blue paint = 40 gallons
Number of gallons of red paint = 25 gallons
Step-by-step explanation:
We are given the ratio:
Blue paint : Red paint =
8 : 5
Sum of proportion = 8 + 5 = 13
If the customer need 65 gallons of paint,
a) Number of gallons of blue paint needed =
8/13 × 65 gallons = 40 gallons
b) Number of gallons of red paint needed =
5/13 × 65 gallons = 25 gallons
Therefore:
Number of gallons of blue paint = 40 gallons
Number of gallons of red paint = 25 gallons
Answer:
C and D
Step-by-step explanation:
C and D are the answers because when you simplify D which is 95/100 × 6 you get 0.95×6 which is the same thing as c
