Answer:
0.47 and 11.53
Step-by-step explanation:
h = 60t − 5t²
27 = 60t − 5t²
5t² − 60t + 27 = 0
Quadratic formula:
x = [ -b ± √(b² − 4ac) ] / 2a
t = [ -(-60) ± √((-60)² − 4(5)(27)) ] / 2(5)
t = (60 ± √3060) / 10
t = 0.47 or 11.53
The ratio of change in angular position to change in time is defined as the angular velocity. Thus, the slope of an angular position versus time graph gives the angular velocity of the <span>object being graphed.
The rank of the given graphs can be written as follow,positive graphs are listed first.
The line B is the line with the greater positive slope.
</span><span>The line B is the line with positive slope but is less than the slope of line B.
</span><span>The lines A,t ,and F are the lines with the zero slope.
</span>The lines D and E are parallel to each other and have same negative slope.<span />
The intersection with the y axis occurs when x = 0.
We have then:
For f (x):
For g (x):
We can observe in the graph that when x = 0, the value of the function cuts to the y axis in y = -3
For h (x):

Therefore, the graph with the intersection with the largest y axis is h (x)
Answer:
the greatest y-intercept is for:
C. h(x)
Given 
To write in logarithmic form we convert exponential form to logarithmic form
We apply the following rule
can be written as 
here b = 6 , x=4 and a = 1296
can be written as 
option A is correct
Since we are trying to find the number of sequences can be made <em>without repetition</em>, we are going to use a combination.
The formula for combinations is:

is the total number of elements in the set
is the number of those elements you are desiring
Since there are 10 total digits,
in this scenario. Since we are choosing 6 digits of the 10 for our sequence,
in this scenario. Thus, we are trying to find
. This can be found as shown:

There are 210 total combinations.