Answer:
-6x⁶ + 4x⁴ - 3x³ + 4x² + 12
Step-by-step explanation:
To write an equation in standard form, you want to arrange the terms from increasing to decreasing powers/exponents.
given: 4x² - 6x⁶ + 2x³ + 12 - 5x³+ 4x⁴
First, lets arrange like terms together. Put the terms with the same exponent together.
2x³ - 5x³ + 4x² - 6x⁶ + 12 + 4x⁴
Now combine the terms with the same exponent by subtracting 5x³ from 2x³.
-3x³ + 4x² - 6x⁶ + 12 + 4x⁴
Now let's arrange the terms from increasing to decreasing powers/exponents.
-6x⁶ + 4x⁴ - 3x³ + 4x² + 12
This is your equation in standard form.
Hope this helps!
Answer:
64.5%
Step-by-step explanation:
Initial amount N° = ?
Remaining amount after decay = N = ?
k = decay constant = 0.00012 
t = time = 3650 year
fraction remaining will be N/N°
From the decay equation, N = N°
N/N° =
N/N° = 
N/N° = 
N/N° = 0.645 = 64.5%
To answer problems like this you have to use binomial:
P (x > 1) = 1 – p (0
< x < 1) > .7
So:
1 – p (0) – p (1) >
.7
1 – (3/ 4) ^n – (3/ 4)
^n (n – 1 ) (1/ 4) > .7
Therefore n > 5.185,
and the smallest value of n so that we can satisfy the given condition is 6
(rounded up)
<span> </span>
Answer:
31/6
Step-by-step explanation:
I got it right on my quiz
1/4 = 2/8. Remember that. This means that 1/8 is equal to half of a month. It there is 5/8, you can add a half month for every eight. In this case, it will take 2 and a half months
Hope this helped!!!!
