Answer:
Step-by-step explanation:
4q2 + 2q + 3
(2q - 2) l _ 8q3 - 4q2 - q + 6
8q3 - 8q2
_ 4q2 - q
4q2 - 4q
_ 3q + 6
6q + 6
-3q (remainder)
4q2 + 2q + 3 -3q / (2q - 2)
hope this helps
Answer:
7.5 Quarts
Step-by-step explanation:
D'Naisa mixed the following:
- 1 gallon of orange paint
- 2 quarts of yellow paint
- 3 pints of red paint.
We are to determine in total, the number of quarts of paint that she mixed. this is done by converting each of the volume to quart.
<u>1 gallon of orange paint</u>
- 1 gallon = 4 Quarts
- Orange Paint=4 Quarts
<u>3 pints of red paint.</u>
- 1 pint =0.5 quart
- 3 Pints =3 X 0.5 Quart
- =1.5 Quart of red paint
Therefore,
Total Volume of Paint Mixed in quart= Volume of Orange+Yellow+Red
=4+2+1.5
=7.5 Quarts
Answer:
a) 
, b) 
, c) 
, d) 
Step-by-step explanation:
a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:
b) The general solution is found after separating variables and integrating each sides:
Where 
is the time constant and 
c) The time constant is:
The particular solution of the differential equation is:
d) The amount of radium after 300 years is:
Answer:
9°
Step-by-step explanation:
In a ∆, equal sides make equal angle to the third side. So the angle that's not mentioned is same '2'.
Sum of angles in a ∆ = 180°
80° + m/_2 + m/_2 = 180°
80° + (5x + 5) + (5x + 5) = 180°
10x + 90° = 180°
10x = 90°
x = 9°
Answer:
The principal is $4,150.
Step-by-step explanation:
We have to find the principal if the maturity value is $4,500 and the simple interest is $350.
<u>As we know that the formula for calculating the final amount or maturity amount is given by;</u>
Amount = Principal + Interest
Here, Simple interest = $350
Amount or Maturity value = $4,500
So, the Principal = Amount - Interest
Principal = $4,500 - $350
= $4,150
Hence, the principal if the maturity value is $4,500 and the simple interest is $350 is $4150.
