A nice physics problem.
But 16t 2 is inappropriately written; you meant x = 16t^2, where "^" represents exponentiation.
The appropriate formula applying to this situation includes a "t" term which is not present in yours. Start with this:
s = s_0 + v_0t + (1/2)a^t^2, where x_0 is the initial height above the ground and v_0 is the initial velocity. "a" represents acceleration an here is -32.2 ft/(sec^2).
Here's how we apply this formula:
0 ft = 64 ft + 0*t + (1/2)(-32.2 ft/(sec^2), or
0 ft = 64 ft - 16.1 ft/(sec^2)
You must solve this equation for time, t. It will be a positive quantity.
Answer:
i think its B
Step-by-step explanation:
In a picture graph, if there is no key specified, then it is already assumed that the viewer knows that each symbol would stand for 1. If each symbol stands for more than one, then a key is required, but if each symbol stands for one, you can assume that the viewer knows.
There are 20 nickels and 16 quarters
<em><u>Solution:</u></em>
Let "n" be the number of nickels
Let "q" be the number of quarters
We know that,
1 nickel = 0.05 dollar
1 quarter = 0.25 dollar
<em><u>Gabby has a bag containing 36 nickels and quarters</u></em>
Therefore,
n + q = 36
n = 36 - q ------- eqn 1
<em><u>The total value of the coins is $5</u></em>
<em><u>Thus we frame a equation as:</u></em>
number of nickels x 1 nickel + number of quarters x 1 quarter = 5
0.05n + 0.25q = 5 ------- eqn 2
<em><u>Substitute eqn 1 in eqn 2</u></em>
0.05(36 - q) + 0.25q = 5
1.8 - 0.05q + 0.25q = 5
0.2q = 3.2
q = 16
<em><u>Substitute q = 16 in eqn 1</u></em>
n = 36 - 16
n = 20
Thus there are 20 nickels and 16 quarters
We can solve this by using the formula:
(x, y) (x + a, y + b) = (5,-4) (-2,1)
So, plugging in the values and solving for a and b,
5 + a = -2
a = -8
-4 + b = 1
b = 5
Therefore, the translation is
(x,y) (x - 8, y +5)
