Answer:
we know that, 1miles/hour = 0.45m/s
or, 1meters/second = 1/0.45
1m/s = 2.22222222222
Step-by-step explanation:
Then,
72.0 meters/second = 72.0*2.22222222222
=160 miles per hour.
Answer:
The second time when Luiza reaches a height of 1.2 m = 2 08 s
Step-by-step explanation:
Complete Question
Luiza is jumping on a trampoline. Ht models her distance above the ground (in m) t seconds after she starts jumping. Here, the angle is entered in radians.
H(t) = -0.6 cos (2pi/2.5)t + 1.5.
What is the second time when Luiza reaches a height of 1.2 m? Round your final answer to the nearest hundredth of a second.
Solution
Luiza is jumping on trampolines and her height above the levelled ground at any time, t, is given as
H(t) = -0.6cos(2π/2.5)t + 1.5
What is t when H = 1.2 m
1.2 = -0.6cos(2π/2.5)t + 1.5
0.6cos(2π/2.5)t = 1.2 - 1.5 = -0.3
Cos (2π/2.5)t = (0.3/0.6) = 0.5
Note that in radians,
Cos (π/3) = 0.5
This is the first time, the second time that cos θ = 0.5 is in the fourth quadrant,
Cos (5π/3) = 0.5
So,
Cos (2π/2.5)t = Cos (5π/3)
(2π/2.5)t = (5π/3)
(2/2.5) × t = (5/3)
t = (5/3) × (2.5/2) = 2.0833333 = 2.08 s to the neareast hundredth of a second.
Hope this Helps!!!
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Answer:
C. 3x² +24
Step-by-step explanation:
Use the given function definitions and simplify.

Given:
The given system of equations is:


To find:
The solution to this system of equations by graphing.
Solution:
We have,


The table of values for first equation is:
x y
0 1
1 -1
Plot the points (0,1) and (1,-1) on a coordinate plane and connect them a straight line.
The table of values for second equation is:
x y
0 -4
2 -3
Plot the points (0,-4) and (2,-3) on a coordinate plane and connect them a straight line.
The graphs of given equations are shown in the below figure.
From the below figure, it is clear that the lines intersect each other at point (2,-3). So, the solution of the given system of equations is (2,-3).
Therefore, the solution to this system of equations is:
x-coordinate: 2
y-coordinate: -3
Question:
(a) How many bacteria would be found in 24 hours
(b) How many bacteria would be found in 2 days
(c) How long for 1000 bacteria to be found
Answer:
(a) 282429536481 bacteria
(b)
bacteria
(c) 6 days
Step-by-step explanation:
The question illustrates an exponential function

Where

--- i.e. triples

Solving (a): Bacteria in 24 hours
In this case:

Substitute
,
and 
So:



bacteria
Solving (b): Bacteria in 2 days

So:

Substitute
,
and 
So:


bacteria
Solving (c): How long for 1000 bacteria
In this case:

Substitute
,
and 
So:



Take Log of both sides

This gives:

Make x the subject


<em>Hence: It takes 6 days</em>