Answer:
see below
Step-by-step explanation:
9 ^-5 * 9^-3
When multiplying these we ADD the exponents:
9^-5 * 9^-3
= 9^(-5 + -3)
= 9 ^-8
= 1/9^8 Option A
2. 2^14 / 2^7 This is a division so we SUBTRACT the exponents:-
= 2^(14 - 7)
= 2^7 (answer)
3. If the triangle is a right angled one then it will obey Pythagoras Theorem so:-
13^ = x^2 + 5&2
x^2 = 13^2 - 5^2
x^2 = 144
x = 12 (answer)
4. The last choice is a crucial step.
The total area of the triangles is the same in both large squares so the area of the large square e^2 = a^2 + b^2 ( the 2 squares in the left side large square).
For this case we have an equation of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: growth rate
t: time
The given equation is:
a = 1300 (1.02) ^ 7
Where,
b = 1.02
It represents a growth of 2% on the initial amount.
Answer:
1.02 represented in this equation a growth of 2% on the initial amount.
Answer:
Step-by-step explanation:
V-0.12V (first option) if we factor it it becomes
V(1-0.12)=0.88V (last option)
The initial term of this geometric series is 4, and the common ratio is -1/2. The sum is given by

The sum is
approximately 2.66.