Answer:
Step-by-step explanation: La fórmula de la caída libre, teniendo a la altura como valor dado, sería:
donde h es la altura y g la gravedad.
Solución
h=100 metros
g=9.8m/s^2
se sustituye en la fórmula
dando como resultado
th=4.52 segundos de caída libre
Answer:
4408
Step-by-step explanation:
If the number decreased by 5%, then the result is 95 percent of the second week. To find 95 percent of the second week, we multiply 4640 by .95
This gets us 4408
A quadratic equation is written in the form 
Looking at the second, third, and fourth options, we see that the highest powers are greater than two, which automatically disqualifies them from being quadratics (since the highest power in a quadratic is 2).
This makes the first option the correct choice since the expansion of the equation gives 
X = gummy bears, y = jelly beans, z = gobstoppers
x + y + z = 13
x + 2y + 2z = 20
x = 3y
3y + y + z = 13
4y + z = 13
3y + 2y + 2z = 20
5y + 2z = 20
4y + z = 13....multiply by -2
5y + 2z = 20
-----------------
-8y - 2z = -26
5y + 2z = 20
---------------add
-3y = -6
y = 2........2 lbs jelly beans
x = 3y
x = 3(2)
x = 6....6 lbs gummy bears
x + y + z = 13
6 + 2 + z = 13
8 + z = 13
z = 13 - 8
z = 5........5 lbs gobstoppers
so we have : 6 lbs gummy bears (x), 2 lbs jelly beans (y), and 5 lbs gobstoppers (z)
Answer:
see explanation
Step-by-step explanation:
The n th term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given
6(a₁ + 5d) = 13(a₁ + 12d) ← distribute parenthesis on both sides
6a₁ + 30d = 13a₁ + 156d ( subtract 13a₁ from both sides )
- 7a₁ + 30d = 156d ( subtract 30d from both sides )
- 7a₁ = 126d ( divide both sides by - 7 )
a₁ = - 18d
Now
a₁₉ = a₁ + 18d = - 18d + 18d = 0 ← as required
