When the stretch is proportional to the weight, it can be expressed as:
weight/(49 cm) = (135 N)/(21 cm)
weight = (49/21)×135 N
weight = 315 N
The fish's weight would be 315 N.
x = -2. Detailed explanation: The slope of line l is determined to be 3. We want the line that connects points J and K to also have a slope of 3. For this, we calculate: -8 - (-5) = 3 (which is equivalent to x - (-1)). Cross-multiplying allows us to find 'x': 3(x + 1) = -3, leading to 3x + 3 = -3. By isolating x, we find 3x = -6, therefore x = -2.
Answer:
96
Step-by-step explanation:
The highest height achieved by the pebble represented by the quadratic function
can be determined by finding the vertex.
First, we identify the t-coordinate of this vertex. This maximum height corresponds to this value of t, thus, we need to evaluate the h(t)-coordinate.
By comparing
and
, we observe that:



Next, we compute to uncover the t-coordinate of the vertex:




Now, substituting t into
with 1 will enable us to find the corresponding h(t)-coordinate:






Begin by subtracting 379 from both sides of the equation.
This results in: 
Next, divide both sides by -24, which gives us: x = 13.
That corresponds to 13 weeks.