Why?
The liters of milk remaining in the tank after leaking for t weeks is represented by an exponential function. An exponential function is a mathematical function in which the independent variable appears as an exponent.
The function that represents the liters of milk remaining in the tank after leaking for t weeks is an exponential function. An exponential function is a mathematical function in which the independent variable appears as an exponent. In this case, the liters of milk lost each week is constant, so the amount of milk remaining in the tank is decreasing exponentially over time.
Formula for exponential decay: M = P * (1 - r)^t, where M is the amount of milk remaining, P is the initial amount of milk, r is the rate of decay, and t is the number of weeks.
In this case, the initial amount of milk, P, is 600 liters and the rate of decay, r, is 60/600 = 0.1 (10%). So the exponential function that represents the liters of milk remaining after t weeks is M = 600 * (1 - 0.1)^t.
#SPJ2
a)2x + 5
b)2x − 5
c)x2 − 2
d)x2 + 2
The common binomial factor between the two groups after their GFCs factored out 2x + 5.
The correct option is (A)
The greatest commonfactor (GCF) of a set of numbers is the largest factor that all the numbers share.
Given: 2x³ - 5x² + 4x - 10, splits into (2x³ + 4x) + (-5x² - 10)
So, to find the GCF factorise each term
= (2x³ + 4x) + (-5x² - 10)
= 2*x*x*x+2*2*x-5*x*x-2*5
= 2x(x²+2)-5(x²+2)
= (2x-5) (x²+2)
Hence, the common binomial factor between the two groups (2x-5).
Learn more about GCF here:
#SPJ5
Answer:
26 socks
Step-by-step explanation:
There are a total of 48 socks here. Let us assume you pulled out 24 socks at a go and all are red. Now, you would have exhausted the number of red socks here. You would be left with only blue socks which you can pull one after the other to give a total of 26 socks pulled out to have 2 blue socks at least.