In the state of Indiana, 192,031 people claim not to speak English very well. If this is 3.2% of the population of Indiana residents aged 5 years and older, estimate the population of Indiana residents aged 5 years and older. (round to the nearest person)

6,000,969

Step-by-step explanation:

Given that:

In the state of Indiana, 192,031 people claim not to speak English very well

Which is actually representing 3.2% of the population of Indiana residents aged 5 years and older

Let represent V with the total population of Indiana residents who are aged 5 years and older.

Then:

3.2% of V = 192,031

0.032 V = 192,031

V =

V = 6,000, 968.75

V = 6,000,969 ( to the nearest person)

We can thereby conclude that, the population of Indiana residents aged 5 years and older = 6,000,969.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.