Help me solve this question pls

343

Step-by-step explanation:

In the top, let's first solve the subtraction expression within the parentheses:

12 - 5 = 7

So, the numerator is .

Now solve the addition expression within the parentheses in the denominator:

3 + 4 = 7

So, the denominator is .

Remember the exponent rule, where if we have , then it is equal to .

So, .

Now, our expression is: .

Remember another exponent rule where if we have , this is equal to .

So, .

The answer is thus 343.

~ an aesthetics lover

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week