Answer:
P(x) = 2x² + 74x + 644
Step-by-step explanation:
The first number is x + 23.
The second number is:
2(x + 23) − 18
2x + 46 − 18
2x + 28
The product is:
P(x) = (x + 23) (2x + 28)
P(x) = 2x² + 28x + 46x + 644
P(x) = 2x² + 74x + 644
Answer:
see below
Step-by-step explanation:
The equation for half life is
n = no e ^ (-kt)
Where no is the initial amount of a substance , k is the constant of decay and t is the time
no = 9.8
1/2 of that amount is 4.9 so n = 4.9 and t = 100 years
4.9 = 9.8 e^ (-k 100)
Divide each side by 9.8
1/2 = e ^ -100k
Take the natural log of each side
ln(1/2) = ln(e^(-100k))
ln(1/2) = -100k
Divide each side by -100
-ln(.5)/100 = k
Our equation in years is
n = 9.8 e ^ (ln.5)/100 t)
Approximating ln(.5)/100 =-.006931472
n = 9.8 e^(-.006931472 t) when t is in years
Now changing to days
100 years = 100*365 days/year
36500 days
Substituting this in for t
4.9 = 9.8 e^ (-k 36500)
Take the natural log of each side
ln(1/2) = ln(e^(-36500k))
ln(1/2) = -36500k
Divide each side by -100
-ln(.5)/36500 = k
Our equation in years is
n = 9.8 e ^ (ln.5)/36500 d)
Approximating ln(.5)/365=-.00001899
n = 9.8 e^(-.00001899 d) when d is in days
Answer:
65 non-fiction books need to be shelved
Step-by-step explanation:
This question can be solved using a rule of three.
For each 5 non-fiction books, there are 9 fiction books. How many non-fiction books are there when there are 117 fiction books?
5 non-fiction - 9 fiction
x non-fiction - 117 fiction
65 non-fiction books need to be shelved
Answer:
N=-13
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
An operation of two real numbers is defined by the rule
Calculate 
First evaluate the expression in brackets:
Now,
