Answer:
-11.75 - x
Step-by-step explanation:
0.5 squared = 0.25
0.25-12= -11.75
-11.75 - x
Answer:
The boat is approaching the dock at rate of 2.14 ft/s
Step-by-step explanation:
The situation given in the question can be modeled as a triangle, please refer to the attached diagram.
A rope attached to the bow of the boat is drawn in over a pulley that stands on a post on the end of the dock that is 5 feet higher than the bow that means x = 5 ft.
The length of rope from bow to pulley is 13 feet that means y = 13 ft.
We know that Pythagorean theorem is given by

Differentiating the above equation with respect to time yields,


dx/dt = 0 since dock height doesn't change


The rope is being pulled in at a rate of 2 feet per second that is dz/dt = 2 ft/s
First we need to find z
z² = (5)² + (13)²
z² = 194
z = √194
z = 13.93 ft
So,



Therefore, the boat is approaching the dock at rate of 2.14 ft/s
Answer:
53 centimeters
Step-by-step explanation:
Answer: 53 centimeters
Answer:
The answer to your question is 12 moles of water.
Step-by-step explanation:
Reaction
2 O₂ + CH₄ ⇒ CO₂ + 2 H₂O
If Oxygen is in excess, then the limiting reactant is methane and we calculate the moles of water produced considering the moles of methane.
1 mol of methane -------------- 2 moles of water
6 moles of methane --------- x
x = (6 x 2) / 1
x = 12 moles of water
Answer:

Step-by-step explanation:
Line equation is given as y = mx + b
Where, m is the slope of the line, which is,

b is the y-intercept. It is the point at which the line crosses the y-axis for which the value of x = 0.
=>Find m and b to derive an equation for the line.
using the 2 coordinate pairs, (1, 5), (-1, -5),
Let, x2 = -1,
x1 = 1,
y2 = -5,
y1 = 5




From the graph given, the line intercepts the y-axis at point 0. Therefore b = 0.
Plug in the values of m and b in the line of equation.
y = mx + b
y = 5x + 0
y = 5x
Therefore, the equation of the line, in the graph above, written in slope-intercept form is:
