Answer:
It's position at time t = 5 is 593.
Step-by-step explanation:
The velocity v(t) is the integral of the acceleration a(t)
The position s(t) is the integral of the velocity v(t)
We have that:
The acceleration is:
Velocity:
K is the initial velocity, that is v(0). Since V(0) = 13, K = 13
Then
Position:
Since s(0) = 3
What is its position at time t=5?
This is s(5).
It's position at time t = 5 is 593.
The decimal equivalent of 3/5 is 0.6 .
(0.6) x (65 mi/hr) = <em>39 mi/hr </em>
Answer:
The 99th tower contains 9900 blocks.
Step-by-step explanation:
From the question given, we were told that the nth tower is formed by stacking n blocks on top of an n times n square of blocks. This implies that the number of blocks in n tower will be:
n + n²
Now let us use the diagram to validate the idea.
Tower 1:
n = 1
Number of blocks = 1 + 1² = 2
Tower 2:
Number of blocks = 2 + 2² = 6
Tower 3:
Number of blocks = 3 + 3² = 12
Using same idea, we can obtain the number of blocks in the 99th tower as follow:
Tower 99:
n = 99
Number of blocks = 99 + 99² = 9900
Therefore, the 99th tower contains 9900 blocks.
Answer:
Step-by-step explanation:
<u>Given inequality:</u>
<u>Since b is negative, when multiplied by b, the inequality changes to opposite direction:</u>
Answer:
Cartesian product
Step-by-step explanation:
The Cartesian product of two sets, X and Y, denoted by X × Y, is the set of all ordered pairs (x, y), where x is an element of X and y is an element of Y: 8 (2.4.1) X × Y = { (x, y) ∣ x ∈ X ∧ y ∈ Y } For example, if Children = { Peter, Mark, Mary }, and Parents = { Paul, Jane, Mark, Mary }, then
