Crude oil imports to one country from another for 2009–2013 could be approximated by the following model where t is time in years since the start of 2000. I(t) = −33t2 + 800t − 3,000 thousand barrels per day (9 ≤ t ≤ 13) According to the model, approximately when were oil imports to the country greatest?

The oil imports to the country are greatest during the year 2012

Given the model where t is time in years since the start of 2000 expressed as I(t) = −33t² + 800t − 3,000

The oil imports more oil during the year 2012, is t = 12

I(12) = −33(12)² + 800(12) − 3,000

I(12) = -33(144) + 9600 - 3000

I(12) = -4752 + 6600

I(12) = 1848

Hence the oil imports to the country are greatest during the year 2012

Learn more on functions here: link

Import in 2012 was the greatest

Step-by-step explanation:

Given

l(t) = -33t² + 800t - 3000

9 ≤ t ≤ 13

Required

Determine the year with highest import.

To do this we simply substitute the values of t from 9 to 13 in the given function.

When t = 9

l(t) = -33t² + 800t - 3000

l(9) = -33 * 9² + 800 * 9 - 3000

l(9) = -33 * 81 + 800 * 9 - 3000

l(9) = -2673 + 7200 -3000

l(9) = 1527

When t = 10

l(10) = -33 * 10² + 800 * 10 - 3000

l(10) = -33 * 100 + 800 * 10 - 3000

l(10) = -3300 + 8000 - 3000

l(10) = 1700

When t = 11

l(11) = -33 * 11² + 800 * 11 - 3000

l(11) = -33 * 121 + 800 * 11 - 3000

l(11) = -3993 + 8800 - 3000

l(11) = 1807

When t = 12

l(12) = -33 * 12² + 800 * 12 - 3000

l(12) = -33 * 144 + 800 * 12 - 3000

l(12) = -4752 + 9600 - 3000

l(12) = 1848

When t = 13

l(13) = -33 * 13² + 800 * 13 - 3000

l(13) = -33 * 169 + 800 * 13 - 3000

l(13) = -5577 + 10400 - 3000

l(13) = 1823

Comparing the values of l(t) for the range of t = 9 to 13,

The highest value of l(t) is:

l(12) = 1848

Hence, the year with the highest import is 2012

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

he sells x mount because thats eqivilqant to the maz and then divided into quarters

step-by-step explanation: