A team of researchers is monitoring the population of crickets in a particular town. They do not know exactly how many crickets are remaining, but the model they use represents the minimum number of crickets remaining in the town. According to their model, the minimum number of the species remaining, in thousands, multiplies by 10 every month. The researchers determine that right now, the population of crickets is at least 5 thousand. Once the minimum population reaches 1 million, measures are taken to stop the increase in population.

If P represents the actual population of crickets in the town, in thousands, and t represents the time, in months, which of the following systems of inequalities can be used to determine the possible number of crickets in the town over time?

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct

answer would be 8.64 or s = 11π/4 inches

step-by-step explanation:

s = r θ  

where s = arc length  

r = radius = 3 inches  

θ = central angle in radians = ( π /180)*165  

s = 3(π/180)*165  

= 8.64 inches

median- 36f

mode - none

mean- 33.7 ~ 34f