Answer:
time = 1secs
<em>Max height = 25metres</em>
Step-by-step explanation:
Let the equation that models the height of the ball be expressed as;
h(t) = −16t^2 + 32t + 9
t is the time in seconds
The velocity of the ball at its maximum height is zero i.e dh/dt = 0
dh/dt = -32t + 32
0 = -32t + 32
32t = 32
t = 32/32
t = 1 seconds
The ball will reach its maximum height after 1 seconds.
Get the maximum height reached. Substitute t = 1 into the modeled function;
h(t) = −16t^2 + 32t + 9
h(1) = −16(1)^2 + 32(1) + 9
h(1) = −16 + 32 + 9
h(1)= 16+9
<em>h(1) = 25</em>
<em>Hence the maximum height reached is 25metres</em>
To find a percent of a number, multiply the percent by the number.
First we find the number of pennies.
40% of 220 =
= 40% * 220
= 0.4 * 220
= 88
88 coins are pennies.
220 - 88 = 132
132 coins are not pennies.
Now we find 25% of 132.
25% of 132 =
= 25% * 132
= 0.25 * 132
= 33
33 coins are partners.
(Did you mean quarters instead of partners?)
Answer:
Convert fraction (ratio) 298 / 347 Answer: 85.878962536023%
Step-by-step explanation:
Step-by-step explanation: need to find a basis for the solutions to the equation Ax = 0. To do ... From this we can read the general solution, x = ⎡. ⎢ ... two vectors are clearly not multiples of one another, they also give a basis. So ... 4.4.14 The set B = {1 − t2,t − t2,2 − 2t + t2} is a basis for P2. ... x1(1 − t2) + x2(t − t2) + x3(2 − 2t + t2)=3+ t − 6t2.
