Answer:
The time taken before the police force the robbers off the road is 1.5 hours
Step-by-step explanation:
The speed with which the robbers were travelling = 70 miles per hour
The speed with which the police went after the robbers = 90 miles per hour
The distance with which the robbers were in front of the police before the police came after them = miles
Let t represent the time in hours the police force the robbers off the road, we have;
30 + 70 × t = 90 × t
30 = 90 × t - 70 × t = (90 - 70) × t = 20 × t
30 = 20 × t
20 × t = 30
t = 30/20 = 1.5
t = 1.5 hours
The time taken before the police force the robbers off the road = t = 1.5 hours
The farthest distance of the turtle can be solved with the following equations:
x = 112 + 4
x = 112 - 4
By solving the equations, we conclude that t<span>he turtle can be found either in the 116th block or the 108th block.</span>
We are given the function <span>f(x) = 3^x+1 - 2 and is asked for the asymptote and y-intercept. In this case, we transform the function to
y +2 = 1/3^(x+1)-1
y = 1-2</span>/3^(x+1)-1/(3^(x+1)-1)
let 3^(x+1)-1 = 0
<span>1/3^(x+1) = 0
x = infinity
when x = infinity
y = 0 - 2
y = -2
The y-intercept is the value where x = 0. substituting,
y = 3^(0+1) - 2 = 1 </span>
Answer:
y - 5 = (3/2)(x - 2)
Step-by-step explanation:
If two lines are perpendicular, their slopes are negative reciprocals of one another.
The slope of 2x + 3y = 5 is found by solving this equation for y:
3y = -2x + 5, or y = (-2/3)x + 5/3.
Thus, the slope of the new line is the negative reciprocal of -2/3, which in turn comes out to 3/2.
Use the point-slope formula y - k = m(x - h):
Substituting the givens, we get y - 5 = (3/2)(x - 2)
Possible outcome = 1, 1, 1, 2, 3, 4, 5, 6
(a) P(2) = 1/8
(b) P(1) = 3/8
(c) p(odd) = 5/8