There is a relationship between a perceived corruption and human development in a country that can be modeled by H(x)=0.3+0.28lnx. In this formula, x represents the Corruption Perception Index, where 1 is very corrupt and 10 is least corrupt. The output gives the Human Development Index, which is between 0.1 and 1 with 1 being the best for for human development. a) For country A, x=7. Evaluate H(7) and interpret the result.

b) The Human Development Index is 0.66 for country B. Find the Corruption Perception Index for country B.

the answer is 175.4379

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.