For this case we have the following expression:
h (t) = - 16t ^ 2 + 122t + 10
We look for the maximum of the function, for this, we derive:
h '(t) = - 32t + 122
We match zero:
-32t + 122 = 0
We cleared t:
t = 122/32
t = 3.8125 s
Then, the maximum height will be:
h (3.8125) = - 16 * (3.2185) ^ 2 + 122 * (3.2185) +10
h (3.8125) = 236.92 feet
Answer:
It takes the boulder to reach maximum height about:
t = 3.8125 s
the boulders maximum height is:
236.92 feet
Answer:
the black paint is of 200 ml
Step-by-step explanation:
first he wanted grey paint by mixing 600 ml of both colour so he reduced black paint by 7:12 ratio an we get difference of 3 with that ratio so dividing 600 by 3 and we get amount of blacl paint removed
We shall have to use distribution here.
The number outside the parenthesis gets distribute with the numbers inside.
This is called distributive property.
We know the distributive property is
a(b+c) = a × b + a ×c
Using this property for
5(4 x+2)
= 5× 4x + 5 × 2
Now 5 times 4x = 20x
5 times 2 = 10
So we get
5(4 x+2) = 20 x + 10
Option A) is the right answer.
A associative property of multiplication
