25. In the year 2016, the population of Johns Creek was 124,000. Statistics show that the population is
increasing at a rate such that k = .0734 a year. If the formula is true, in how many years should the
population of Johns Creek reach 186,000?

6 years

Step-by-step explanation:

1 year

124,000 x .0734

133,101.6

2 years

133,101.6 x .0734

142,871.3

3 years

142,871.3 x .0734

153,358.1

4 years

153,358.1 x .0734

164,614.6

5 years

164,614.6 x .0734

176,697.3

6 years

176,697.3 x .0734

189,666.9

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.