Answer:
72/324 or 2/9
Step-by-step explanation:
1/6 is 54/324 and that plus 18/324 is 72/324
Answer:
a) t = 0.54 seconds
b) t = 8 seconds
Step-by-step explanation:
Given in the question the equation
h = 40t - 5t²
<em> where h is height in meters</em>
<em> t is time in seconds</em>
<em />
Time it took to reach 20 meters
20 = 40t - 5t²
-5t² + 40t - 20 = 0
by using quadratic formula for factorisation
<h3>t = (-b± √(b)² - 4(a)(c) ) / 2(a)</h3>
t = 0.54 (upward motion)
or
t = 7.46 (downward motion)
b) Time it took to reach the ground
at ground h = 0
So,
0 = 40t - 5t²
t(40 - 5t ) = 0
t = 0 (at starting point)
or
40 -5t = 0
5t = 40
t = 40 /5
t = 8 seconds
Answer:
<u><em>k = 0.2645</em></u>
Step-by-step explanation:
Given model:
y = 4070 
y = no. of hits website received = 9000 (in 3rd month)
t= no. of months website has been operational = 3
put in the above equation:
9000 = 4070 
= 
=
<u><em>Taking natural logarithm on both sides, we get:</em></u>
=
= 3k ln<em>e</em>
ln<em>e</em>=1
= 3k
or k = 

k =
(0.7936)
<em>k = 0.2645</em>
<em />
Answer:
$3.50
Step-by-step explanation:
2.5% x 25 = 62.5%
2.50 divide 62.5% = 4
4x25=1.00
2.50+1.00=3.50
The first thing to do is to set this equal to zero, then move the constant over to the other side of the equals sign so we only have the x terms to worry about.

. Now we're ready to complete the square. We take half the linear term, square it, and add it in to both sides. Our linear term is -6x. Half of 6 is 3, and 3 squared is 9, so we add 9 to both sides:

. Now we will do the math on the right to get 4, and on the left we will express the perfect square binomial we created while completing this process.

. Now we can move the constant back over by subtraction to get

. Now we can see that the vertex is (3, -4). Since this is a positive parabola, it opens upwards, like a cup, which means that the lowest part of the parabola, the vertex, is sitting at the bottom, or at a minimum value. So our answer is C