Range = highest value - lowest = 35 - 12 = 23
2/9 * 36 = 2*4 = 8
Answer:
21.7%
Step-by-step explanation:
(25,550-19,990) / 25,550 = 5,560/25,550 = 0.217612524462 or 21.7% increase
Answer:
600
Step-by-step explanation:
600 hundred is already rounded.
Say if the number was 650, it would round to 700. But if it was 610 it would round to 600.
Answer:
a) 25.15
b)
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c) (x,y) = (1, -2pi)
Step-by-step explanation:
a)
First lets calculate the velocity, that is, the derivative of c(t) with respect to t:
v(t) = (-sin(t), cos(t), 2t)
The velocity at t0=4pi is:
v(4pi) = (0, 1, 8pi)
And the speed will be:
s(4pi) = √(0^2+1^2+ (8pi)^2) = 25.15
b)
The tangent line to c(t) at t0 = 4pi has the parametric form:
(x,y,z) = c(4pi) + t*v(4pi)
Since
c(4pi) = (1, 0, (4pi)^2)
The tangent curve has the following components:
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c)
The intersection with the xy plane will occurr when z = 0
This happens at:
t1 = -2pi
Therefore, the intersection will occur at:
(x,y) = (1, -2pi)
The equation in terms of x, for the total time he takes in hours would be 2.48 = 12/x + 26/10x
<h3>What is speed?</h3>
Speed can be calculated as the ratio of distance traveled to the time taken
Darpan runs a distance of 12 km and then cycles a distance of 26 km.
Total distance = 12 + 26 = 38km
The running speed is x km/h
A = x
The cycling speed is 10 km/h faster than his running speed
B = 10x
He takes a total time of 2 hours and 48 minutes.
So, the total time he takes
Time = Distance x speed
2.48 = 12/x + 26/10x
10x(2.48) = 120 + 26
24.8x = 146
x = 5.8
Learn more about speed here;
brainly.com/question/7359669
#SPJ1