Response: 87%
Solution:
87 correct answers out of 100 = 87/100 = 0.87 = (convert to percentage by shifting the decimal place two positions to the right) 87%
The attached graph shows the moment when his catch surfaced at (35, 0). Given that it ascends consistently, the graph is linear. We need to establish the starting depth before he reeled it in. Using the equation d=rt, where d represents depth, r is the speed, and t is the time, we can find the distance traveled to reach the surface. Setting up the equation yields: d = 0.1(35). This indicates the catch traveled 3.5 m from a starting point of 3.5 m underwater, ascending at a rate of 0.1 m per second.
Response:
D
Step-by-step explanation:
The shape of the graph created by these data points indicates it correlates best with a quadratic function.
Response:
The width of the arch measures 105 meters
Detailed explanation:
The function that describes the width of the arch is
f(x) = -0.016(x - 52.5)² + 45
where x denotes the horizontal distance from the left end of the arch or the width at its base
f(x) indicates the vertical height of the arch
According to the given quadratic equation, the vertex coordinates of the parabola are (52.5, 45).
The vertex coordinates indicate that
the arch's height is 45 meters
and half the horizontal span from the left end is 52.5 meters
Therefore, the bridge's total width is calculated as 2 times the half span from the left side, which is 2 × 52.5
resulting in 105 meters
Consequently, the bridge's width is 105 meters.
