An astronomer wishes to measure on a photograph the distance between the image of a certain star and three other star images nearby. if eight images are nearby, how many choices of the three stars does he have?

56

Step-by-step explanation:

Given: An astronomer wishes to measure on a photograph the distance between the image of a certain star and three other star images nearby.

The total number of images nearby = 8

The number of images chosen by astronomer = 3

Then, the number of choices  of the three stars without being in order is given by :-

Hence, he has 56 choices .

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

he can buy 4lbs. of live bait and 1lbs of natural bait

step-by-step explanation: