Answer:
455m
Step-by-step explanation:
We know that acceleration is acceleration due to gravity, which is 10m/s, and initial speed u=0m/s
Use the motion equation to find distance when t=10:
d=ut+(1/2)at²
d=0t+(1/2)(10)(10²)
d=500m
The distance travelled in the seven seconds following the first three = 500-45=455m
Answer:
40 girls
Step By Step Explanation:
assume boys = y girls = x
y = 1/2x + 10
y = 30
30 = 1/2x + 10
1/2x = 20
x = 20 *2 = 40
girls is 40 boys is 30
We can find a formula for nth term of the given sequence as follows:
1, 5, 12, 22, 35
The 1st differences between terms:
4, 7, 10, 13
The 2nd differences :
3, 3, 3
Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form:
, where c is a constant. The coefficients a, b, and the constant c can be found.
We can form the following 3 equations with 3 unknowns a, b, c:

Solving for a, b, c, we get:
a = 3/2, b = -1/2, c = 0
Therefore, the nth term of the given sequence is:

Answer:
3x - 24 = 81
3x = 81 + 24
3x = 105
x = 105 / 3
x = 35
Step-by-step explanation: