31. The director of a marketing department wants to estimate the proportion of people who purchase a certain product online. The
1 answer:
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Answer:
The factored form is
.
Step-by-step explanation:
Given :
We have to write the given expression in factored form.
Factor form of an expression is writing the expression in lower power form such that the product of factors given the original expression
Consider the given expression .
We know the algebraic identity
Here .
Comparing with identity stated above , we have x= a , b = 11 , thus, we get
.
Thus, the factored form is
.
Further explanation:
We have to find the equation of the line first to graph the line.
The general form of slope-intercept form of equation of line is:
Given
Putting the value of slope in the equation
To find the value of b, putting the point (-3,5) in equation
Putting the values of b and m
The graph is made by using online graphing tool Desmos.
Keywords: Equation of line, graph of line
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Answer:
The amount of thermal energy that is generated is 1000 joules.
Step-by-step explanation:
Let consider the person diving into a pool as a closed system, that is, a system with only energy interaction with the surroundings. According to the First Law of Thermodynamics, which is a generalization of the Principle of Energy Conservation, the total energy of the system is neither destroyed, nor created, only transformed. The initial gravitational potential energy is transformed into translational kinetic and thermal energy. That is to say:
Where:
- Gravitational potential energy, measured in joules.
- Translational kinetic energy, measured in joules.
- Thermal energy, measured in joules.
The thermal energy is now cleared:
Given that and
, the amount of thermal energy that is generated is:
The amount of thermal energy that is generated is 1000 joules.