Answer:
Check Explanation.
Step-by-step explanation:
s(t) = 0.810t²
a) Distance fallen through, just after t = 8 s
s(8) = 0.810(8²) = 51.84 m
b) Velocity of the body, just after t = 8 s
s(t) = 0.810t²
v(t) = (ds/dt) = 1.620t
v(8) = 1.62(8) = 12.96 m/s
c) Acceleration of the body, just after t = 8 s
v(t) = 1.620t
a(t) = (dv/dt) = 1.620
a(8) = 1.620 m/s²
d) The answer obtained from the 2nd derivative of this free fall function for acceleration is a constant.
This means, the acceleration of the body is constant regardless of the time.
The body undergoing the motion described by the free fall function has a constant acceleration.
Answer:
Yes, the difference of two rational numbers is a rational number. The reason for this lies in the following facts: The product of two integers is an integer. The difference between two integers is an integer.
Step-by-step explanation:
The equivalent expressions are 3(6x - 3) = 72 and 18x - 9 = 72
<h3>Equations and expressions</h3>
Given the equation below as shown;
3/5(30x - 15) = 72
Expand
3/5(30x) - 3/5(15) = 72
90x/5 - 15/5 = 72
3(6x - 3) = 72
Expand
18x - 9 = 72
Hence the equivalent expressions are 3(6x - 3) = 72 and 18x - 9 = 72
Learn more on equations here: brainly.com/question/13763238
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Solution:
Given expression:

To solve the expression:

<em>If f(x) = g(x) then ln(f(x)) = ln(g(x)).</em>
Using the above condition, we can write

Apply log rule: 

Divide both side of the equation by
.


The answer is
.
Answer:
Total number number of cars which do not have defects = 539
and 21 are defected out of 560 i.e. 560 - 539 = 21
Step-by-step explanation:
Total cars checked by Car factory = 320
Number of defected cars = 12
The number of cars which do not have defects = 320 - 12 = 308
Total Number of cars = 560
So the equation becomes
![\left[560\:\times \:308\right]\:\div \:320](https://tex.z-dn.net/?f=%5Cleft%5B560%5C%3A%5Ctimes%20%5C%3A308%5Cright%5D%5C%3A%5Cdiv%20%5C%3A320)
⇒ 

⇒ 

⇒ 
Therefore, total number number of cars which do not have defects = 539
and 21 are defected out of 560 i.e. 560 - 539 = 21