The 400th term is 425.There are floor(√400) = 20 squares in the range 1..400, so the 400th term will be at least 420. There are floor(∛420) = 7 cubes in the range 1..400, so the 400th term may be as high as 427. However, there are
![\lfloor\sqrt[6]{427}\rfloor=2](https://tex.z-dn.net/?f=%5Clfloor%5Csqrt%5B6%5D%7B427%7D%5Crfloor%3D2)
numbers that are both squares and cubes. Consequently, the 400th term will be 427-2 =
425.
Answer:
Step-by-step explanation:
Let P be the population of the community
So the population of a community increase at a rate proportional to the number of people present at a time
That is
![\frac{dp}{dt} \propto p\\\\\frac{dp}{dt} =kp\\\\ [k \texttt {is constant}]\\\\\frac{dp}{dt} -kp =0](https://tex.z-dn.net/?f=%5Cfrac%7Bdp%7D%7Bdt%7D%20%5Cpropto%20p%5C%5C%5C%5C%5Cfrac%7Bdp%7D%7Bdt%7D%20%3Dkp%5C%5C%5C%5C%20%5Bk%20%5Ctexttt%20%7Bis%20constant%7D%5D%5C%5C%5C%5C%5Cfrac%7Bdp%7D%7Bdt%7D%20-kp%20%3D0)
Solve this equation we get
where p is the present population
p₀ is the initial population
If the initial population as doubled in 5 years
that is time t = 5 years
We get
Apply In on both side to get
Substitute 
in 
to get
Given that population of a community is 9000 at 3 years
substitute t = 3 in 
<h3>Therefore, the initial population is 5937.8</h3>
Step-by-step explanation:
4x²-9
4x²+6x-6x-9
4x²+6x-6x-9
2x(2x+3)-3(2x+3)
2x(2x+3)-3(2x+3)
(2-3)(2x+3)
solution
(8x-3)(2x+3)
it going to be 18 because the number is two less than ones digits and the sum of the digit is 8
Answer:
16° and 52°
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360.
360 - 244 - 48 = 68
68 is the sum of the two angles that are in a ratio of 4:13
So, let 4x = measure of one of the angles
and 13x = measure of the other angle
Then 4x + 13x = 68
17x = 68
x = 4
4x = 16 and 13x = 52
Therefore, the measures of the two angles are 16 and 52
Check: 16 + 52 + 244 + 48 = 360 and 16:52 = 4:13
