To calculate the velocity, we use the given expression above which is <span>s(t) = −16t^2 + 144. First, we calculate the time it takes to reach the ground. Then, differentiate the expression and substitute time to the differentiated expression.
</span>s(t) = −16t^2 + 144
0 = -16t^2 + 144
t = 3
s'(t) = v = -32t
v = -32(3)
v = -96
Note: negative sign signifies that the object is going down
Answer:
if you turn it sideways it looks like an acute so i think it will be 60* or 61* i am not sure
Step-by-step explanation:
30% of £10 = £3
30% discount = £10 - £3 = £7
Cake costs £7
Answer:
Scale factor = 
Perimeter ratio = 4 : 9
Surface area ratio = 16 : 81
Volume ratio = 64 : 729
Step-by-step explanation:
Volume ratio = 
= 
=
= 64 : 729
Scale factor = ![\sqrt[3]{\frac{\text{volume of small prism}}{\text{Volume of large prism}}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B%5Ctext%7Bvolume%20of%20small%20prism%7D%7D%7B%5Ctext%7BVolume%20of%20large%20prism%7D%7D%7D)
= ![\sqrt[3]{\frac{64}{729}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B64%7D%7B729%7D%7D)
= 
Perimeter ratio = Scale factor
= 
= 4 : 9
Surface area ratio = (Scale factor)²
= 
= 
= 16 : 81
Answer:
x=-2
Step-by-step explanation:
x-27 = 7x -15
subtract x from both sides
-27=6x-15
add 15 to both sides
-12=6x
divide both sides by 6
-2=x
x=-2