To divide 54,164 by 44, we start from the first digit.
First we take the first 2 digits: i.e. 54 divided by 44, which gives 1 remainder 10.
Next, we join the next digit to the remainder and divide again by 44: i.e. 101 divided by 44, which gives 2 remainder 13.
Next, we join the next digit to the remainder and divide again by 44: i.e. 136 divided by 44, which gives 3 remainder 4.
Next, we join the next digit to the remainder and divide again by 44: i.e. 44 divided by 44, which gives 1.
We now joining all the results from our algorithm, to get that 54,164 divided by 44 is 1,231.
Answer:
3(a - b)(a + b)
Step-by-step explanation:
Factorize: (2a - b)² - (a - 2b)²
- Different of Perfect a Square rule: a² - b² = (a + b)(a - b)
(2a - b)² - (a - 2b)² = [(2a - b) + (a - 2b)] × [(2a - b) - (a - 2b)]
1. Distribute and Simplify:
Distribute the (+) sign on the first bracket and simplify: [(2a - b) + (a - 2b)] → 2a - b + a - 2b → (3a - 3b)
Distribute the (-) sign on the first bracket and simplify: [(2a - b) - (a - 2b)] → 2a - b – a + 2b → (a + b)
We now have:
(3a - 3b)(a + b)
2. Factor out the Greatest Common Factor (3) from 3a - 3b:
(3a - 3b) → 3(a - b)
3. Add "(a + b)" back into your factored expression:
3(a - b)(a + b)
Hope this helps!
Answer:
B
Step-by-step explanation:
It's B
Coefficient of x is less than 0 then it's across the y axis
So f(x)=2^x ---> g(x) = 2^-x
Then translating it up 5 units, should be g(x) = 2^(-x) + 5
Answer is the last one
g(x) = 2^(-x) + 5
Answer:
Step-by-step explanation:
The exponential growth function compounded continuously is equal to
where
A is the final population
P is the initial population
r is the rate of growth in decimal
t is Number of years
e is the mathematical constant number
we have
substitute in the function above
simplify
Take natural log of both sides
![ln(4)=ln[(e)^{0.09t}]](https://tex.z-dn.net/?f=ln%284%29%3Dln%5B%28e%29%5E%7B0.09t%7D%5D)
