That's the easily recognizable factored form of
the difference between two squares. Before
factoring, it was
x² - 16 .
Answer:
A) =0
B)t= 0.45 seconds or t= 3.5 seconds
<em>If time is greater than 0.45 seconds then ball will reach height 12m and higher.</em>
Step-by-step explanation:
Given Equation:
h(t)= ------------------------------(Equation 1)
a) Equation to tell if ball reaches height of 12m . for that :
h= 12m
put in Equation 1.
12 =
or =12
or -12 = 0
=0
or = 0 -----------------------------------(Equation 2)
<em>This Equation tells if ball reaches height of 12m</em>
b) Does ball reaches height of 12m :
For that, the value of time can be found out from the equation above,
= 0
It can be solved using the quadratic formula:
t= 0.45 seconds or t= 3.5 seconds
If time is greater than 0.45 seconds then ball will reach height 12m and higher.
Are you asking for 3ft and 4in in centimeters? You complicated the sentence a bit. :)
Answer:
1/38
Step-by-step explanation:
Given :
Probability = required outcome / Total possible outcomes
Total possible outcomes = total Numbe rod sections = 38
Required outcome = number of 1's on the entire section = 1
Hence, the probability of spinning a one equals :
P(spinning a 1) = 1 / 38
1. Rewrite the expression in terms of logarithms:
Then differentiate with the chain rule (I'll use prime notation to save space; that is, the derivative of <em>y</em> is denoted <em>y' </em>)
2. Chain rule:
Since , we can cancel one factor of sine:
3. Chain rule:
4. If you're like me and don't remember the rule for differentiating logarithms of bases not equal to <em>e</em>, you can use the change-of-base formula first:
Then
So we have
and we can use the double angle identity and logarithm properties to condense this result:
5. Differentiate both sides:
6. Same as with (5):
7. Looks like
Compute the second derivative:
Set this equal to 0 and solve for <em>x</em> :