Which proportion could be used to determine if the figures represent a dilation? A rectangle with a length of 5 and width of 2. A rectangle with a length of 8 and width of 3. Two-thirds = StartFraction 5 Over 8 EndFraction Two-thirds = StartFraction 8 Over 5 EndFraction StartFraction 2 Over 8 EndFraction = Five-thirds StartFraction 2 Over 8 EndFraction = three-fifths

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.

a mantle plume is an upwelling of abnormally hot rock within the earth's mantle. as the heads of mantle plumes can partly melt when they reach shallow depths, they are thought to be the cause of volcanic centers known as hotspots and probably also to have caused flood basalts.

step-by-step explanation: