If the adjusted ratio was 2:7, then
2x is the number of pull-ups
and
7x is the number of box jumps.
You can state that since he completed 63 box jumps at the end of his training, then
7x=63,
x=9
and
2x=18.
The total number of exercises performed is 2x+9x=18+63=81.
As at start the ratio was 5:4, then
5y was the number of pull-ups
and
4y was the number of box jumps.
Therefore, 5y+4y=81,
9y=81,
y=9
and 5y=45, 4y=36.
Answer: Initially: 45 pull-ups and 36 box jumps. At the end: 18 pull-ups and 63 box jumps.
Answer:
96
Step-by-step explanation:
The maximum height reached by the pebble modeled by the quadratic function,
, can be found by finding the vertex.
Let's first find the t-coordinate of the vertex . The max height will correspond to this value of t which means we have to find the h(t)-coordinate.
When comparing
to
, we see that:



We need to evaluate the following to find the t-coordinate of the vertex:




So now to find the correspond h(t)-coordinate, we will need to replace t in
with 1:





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We can write the statement above using inequalities. Let's name:
x: The <span>height of a window (in cm)
y: The width of a window (in cm)
Then writing those statements as equations:
</span>


So the area is given by the equation:

in


So there are a variety of figures we can choose as long as the area is between

and