Answer:
The total distance traveled by the particle is S = 30.
Step-by-step explanation:
Given that velocity,
v(t) = 2t + 1
To find the total distance travel, we integrate the velocity function, v(t), to obtain the distance function s(t), and evaluate the resulting distance at the interval given. That is at t = 0 to t = 5.
Integrating v(t) with respect to t, we have
s(t) = t² + t + C.
At t = 5
s(5) = 5² + 5 + C
= 25 + 5 + C
= 30 + C
At t = 0
S(0) = 0 + 0 + C
= C
The required distance is now
S(5) - S(0)
= 30 + C - C
= 30.
No, a & b are not independent if they're mutually exclusive.
Mutually exclusive means the two events cannot occur simultaneously. So if "a" happens "b" cannot. In contrast, two events are independent if the occurrence of one has no effect on the occurrence of the other.
Answer:
y = 3/5x + (-3)
Step-by-step explanation:
because slope intercept form is y = mx + b
and m = 3/5
and b = -3
so you plug them in to the formula and there's your answer
c.) $3.38
Original price = $2.60
* It is the basis of increase thus, 100%
* The increase is 30%, thus, 100% + 30% = 130%
To get the new price, simply multiply the original price to 130%
$2.60 * 130% = $3.38
Another way of solving the problem is getting the equivalent of 30% and adding it to the original price.
$2.60 * 30% = $0.78
$2.60 + $0.78 = $3.38
Answer:
yes
Step-by-step explanation:
