First, solve 7 times square root of 5.
7 x 2.236 = 15.652
Now find the solution above that results in 15.65.
We can quickly eliminate the top 2 as they will result in very large numbers.
The bottom problem is quick to check - simplifies to (7 + 5)/5 = 2.4. No
It looks like the next to last answer is our best bet.
Figure the square root of 196 (14) and multiply by square root of 5 (2.236). Giving us 31.304.
Divide the result by 2. And that gives us 15.652.
If you knew the square root of 196 was 14, it was helpful to find this quickly because 14/2 = 7 and then the other square root was the 5 from the problem.
Answer:
A proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx.
Step-by-step explanation:
Well, if you look at the expression -4+6+4, the -4 and the +4 cancel eachother out, totaling a 0, so NOW the expression is 0+6 which is obviously 6
Answer:
2 hours
Step-by-step explanation:
For if you start at 1 hour you end up with one bus 45 miles away from the school and the other 40 miles. If you then add these then you find out how far apart they are which is 85 at this point and time. If you do another hour the bus going 45 is now 90 miles away from the school. The other one will be 80. After you add these two number to find how far apart they are you end up with 170.
Given:
Consider the height of the rocket, in feet after x seconds of launch is
To find:
The time at which the rocket will reach its max, to the nearest 100th of a second.
Solution:
We have,
It is a quadratic polynomial with negative leading coefficient. So, it is a downward parabola.
Vertex of a downward parabola is the point of maxima.
To find the time at which the rocket will reach its max, we need to find the x-coordinate of the vertex.
If a quadratic function is 
, then the vertex is
Here, 
.
So,
So, x-coordinate of the vertex is 4.75.
Therefore, the rocket will reach its max at 4.75 second.
