Okay okay thanks for the update I am on my way to get my car
Answer:
The average acceleration of the cyclist was 0.6 m/s².
Step-by-step explanation:
Acceleration:
The rate change of velocity per unit time is call the acceleration of the object.

u= initial velocity
v= final velocity
t= time taken change of velocity.
During the final 5 seconds of a race cyclist increased her velocity from 4m/s to 7 m/s
Here v= 7 m/s and u=4 m/s t=5 seconds


=0.6 m/s²
The average acceleration of the cyclist was 0.6 m/s².
Answer:
10 centimeters.
Step-by-step explanation:
First, we need to remember what's the formula to get the volume of a rectangular solid and a cube.
The volume of the first equals:
Volume = Length x Width x Height
While the volume of the cube is:
where a is the edge.
We are given the measures of the rectangular solid so we can calculate its volume:
cubic cms.
Now, we know that both the volume of the rectangular solid and the cube are the same so we will use this information to calculate the edge of the cube.
![1000=a^3 \\\sqrt[3]{1000} =\sqrt[3]{a^3} \\10=a](https://tex.z-dn.net/?f=1000%3Da%5E3%20%5C%5C%5Csqrt%5B3%5D%7B1000%7D%20%3D%5Csqrt%5B3%5D%7Ba%5E3%7D%20%5C%5C10%3Da)
Thus the length of an edge of the cube is 10 centimeters
Answer:
an = 1/2 (4)^ (n-1)
a6 = 512
Step-by-step explanation:
The formula for a geometric sequence is
an = a1 (r)^(n-1)
where an is the term of the sequence
a1 is the initial term of the sequence
r is the ratio
and n is the term number
We know a1 = 1/2 and r =4
I will assume that x=6 means we want to know the 6th term
an = 1/2 (4)^ (n-1)
We want to find the 6th term
a6 = 1/2 * 4^(6-1)
a6 = 1/2 * 4^5
a6 = 512