Answer:
The instantaneous velocity at
is
.
Step-by-step explanation:
We have the position as the function

As we know that the velocity is the rate of change of position over time, so it is basically the derivative of the function.
so finding the derivate of 
∴ 
The instantaneous velocity at 

Therefore, the instantaneous velocity at
is
.
Please note that the negative value indicates the direction of movement, in this case, it would be backward.
<span>Let x be the number of songs downloaded.
Each song is $1.29; the total cost would be found by multiplying the cost by the number of songs, or 1.29x.
This cannot be more than 20, so we set this less than or equal to 20:
1.29x ≤ 20.
<u>To solve this, we divide both sides by 1.29: </u>
</span>

<span> ≤ </span>

<span>;
x ≤15.5.
We <u>cannot download half of a song</u>, so we round this down to 15 (although the number rounds up mathematically, he would not have enough money to download 16 songs). This means he can download at most 15 songs.</span>
At start ( t = 0 nanoseconds ) :
E ( t = 0 ) = 2.645 J
E ( t = 1 ) = 6.290 J
E ( t = 1 ) : E ( t = 0 ) = 6.290 : 2.645 = 2.37
Also:
E ( t = 2 ) : E ( t = 1 ) = 14.909 : 6.290 = 2.37
E ( t = 3 ) ; E ( t = 2 ) = 35.335 : 14.909 = 2.37
Therefore, the formula for calculating the energy of the system is:
E ( t ) = 2.645 * 2.37 ^ t
The answer is 4) exponential growth.
Answer:
- 13.077
Step-by-step explanation:
Here we have to calculate the square root of a certain number using the help of the calculator or a square root table.
The given expression is
.
Now, using calculator
Now,
So, approximate value to the nearest thousandth is - 13.077 ( Answer )
Non linear and increasing