7. If In 3 = 1.10 and In 6 = 1.79, then In 2
O -2.89
-0.69
O 1.63
0.61
O 0.60

Option (2)

Step-by-step explanation:

Given in the question,

ln(3) = 1.10

ln(6) = 1.79

We have to calculate the value of ln(2).

Since ln(6) = ln(3 × 2)

                = ln(3) + ln(2) [From the property of logarithm, ln(a×b) = ln(a) + ln(b)]

         1.79 = 1.10 + ln(2)

         ln(2) = 1.79 - 1.10

         ln(2) = 0.69

Therefore, value of ln(2) will be 0.69.

Option (2) will be the answer.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

the answer is 31.27mph