Green's theorem says the circulation of
along the rectangle's border
is equal to the integral of the curl of
over the rectangle's interior
.
Given
, its curl is the determinant

So we have

Answer: a capital letter
Explanation: The most basic figure in geometry is called a point.
For example, ·A or ·Q.
Notice that above, points are usually labeled with a capital letter.
Answer:
a) The percentage of adults who smoke are decreasing with time. b) the equation that best described this data is y=-0.3364x+22.809 (R^2=0.859) in which y is the percentage of adults who smoke and x the number of years. c) the percentage of adults who smoke will be 19.8% and it will not meet the expected 12%, it would take 32 years to reach that value.
Step-by-step explanation:
The data can be plotted to which years is the independent variable and percentage of adults who smoke is the dependent variable. The linear trendline that described this data has a negative slope which indicates that the percentage of adults is decreasing with time. In order to determine if the OSH target is being met, the x is replaced by 9 which is the goal period of nine years. The y is 19% which is higher than the 12% goal. In order to know the period it will take to the reach the goal of 12%, the y is replaced by 12 in the curve and the x is the answer in years = 32 years.
Answer:
y = 23/3
Step-by-step explanation:
Simplify both sides of equation
7 = y + -2/3
Flip equation
y + -2/3 = 7
Add 2/3 to both sides
y + -2/3 + 2/3 = 7 + 2/3
y = 23/3
Answer:
(9x²)²
Step-by-step explanation:
Given the expression 81x⁴, to write the expression as a square of a monomial, first we will assign a variable to the expression.
y = 81x⁴
Then we take the square root of both sides of the expression
√y = √81x⁴
y^½ = √81 × √x⁴
y^½ = 9x²
Squaring both sides of the resulting equation to get y back
(y^½)² = (9x²)²
y = (9x²)²
The expression as a square of a monomial is (9x²)²