Answer:
Answer: y=2x+13.
Step-by-step explanation:
Your input: find the equation of the line perpendicular to the line y=5/2−x/2 passing through the point (−4,5).
The equation of the line in the slope-intercept form is y=5/2−x/2.
The slope of the perpendicular line is negative inverse: m=2.
So, the equation of the perpendicular line is y=2x+a.
To find a, we use the fact that the line should pass through the given point: 5=(2)⋅(−4)+a.
Thus, a=13.
Therefore, the equation of the line is y=2x+13.
Answer: y=2x+13.
We have the following equation:
<span> h(t)=-4.92t^2+17.69t+575
</span> For the domain we have:
<span> </span>We match zero:
-4.92t ^ 2 + 17.69t + 575 = 0
We look for the roots:
t1 = -9.16
t2 = 12.76
We are left with the positive root, so the domain is:
[0, 12.76]
For the range we have:
We derive the function:
h '(t) = - 9.84t + 17.69
We equal zero and clear t:
-9.84t + 17.69 = 0
t = 17.69 / 9.84
t = 1.80
We evaluate the time in which it reaches the maximum height in the function:
h (1.80) = - 4.92 * (1.80) ^ 2 + 17.69 * (1.80) +575
h (1.80) = 590.90
Therefore, the range is given by:
[0, 590.9]
Answer:
the domain and range are:
domain: [0, 12.76] range: [0, 590.9]
Easy the answer is B: 17 and one-third
Answer:
they will start with $122.75 dollars to be paid and add on 8% of $122.75 which is $9.82.
the next step would be to add together 122.75+9.82 and you get $132.57
the last step woukd be to find what 18% of 132.57 is and that would be $23.86
add 132.57+23.86=$156.43
$156.43 is your answer
<span>Visualize that out of the 90 caps, how many were green? 18 were green. So how many were not green? 90 caps - 18 caps = 72 caps. That means 72 caps were not green in that sporting good order. Therefore, the probability of one cap selected at random from the total 90 caps will not be green will be 72/90 which is roughly 0.8
or
80 percent. </span>