In exercises 7 through 10, compute the indicated quantities for the given homomorphism o 7 ker(o) and o(25) for o: z+z1 such that ø(1)=4. 8 ker(ø) and 38) for : z z such that ø1)= 6 9 ker(o) and 7) for : zoz such that o1) 12 10 ker(6) and o(5,7) for : z x zzx z such that o1,0)= (3,5) and (0, 1)= (-2,4). 11 let g be a group, and let ge g. let o, : g+g be defined by o(t) = grg"1 for z € g. for which g e g is o, a homomorphism?

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of

all of the measures need to be converted to the same measure; such as inches. if you do that it is easy to determine which is the longest, 2500 mm which is approximately 97.5 inches.