Answer:
40
Step-by-step explanation:
(2x+1/(2x))^5 *(2x -1/(2x))^5
= ((2x)^2 -1/(2x)^2)^5 (a+b)*(a-b) =a2-b2
= (4x^2-1/4(x)^2)^5
now
x =4x^2. ,a = 1/4(x)^2 ,n =5
we have
general term = Cr *x^r *a^(n-r)
= Cr * (4x^2)^r * (1/4(x)^2)^(n-r)
= Cr *4^r * X^2r * 1/( 4^(n-r) *x^(2n-2r)
= Cr * 4^r/4^(n-r) * x^(2r)/x^(2n-2r)
= Cr * 4(2r-n) *x(4r-2n)
now for x^2
4r-2n = 2
4r -10=2
4r =12
r = 3
now for coeff
C(5,3) * 4^(2*3-5)
5!/(3!*(5-3)!) * 4
5*4/(2*1)*4
40
Answer: 4√2
square root of a number is the factor that we can multiply by itself to get that number.
The square root symbol is also called as a RADICAL.
Perfect squares are the squares of the integers also called as square numbers.
to find the square root of non-perfect squared numbers we have to check the number with a near-perfect squared numbers
how to find square root of non perfect squared numbers:
If we can't figure out what factor multiplied by itself will result in the given number, we can make a factor tree.
Factor tree of 32 = 2*2*2*2*2
= (2*2) * (2*2) *2
= (4)2 *2
Therefore √/32 = √/2*2*2*2*2
= √/(4)2*2
= 4√/2
learn more about square roots here:
brainly.com/question/428672
brainly.com/question/3617398
#SPJ9
Answer:
y = 0.80
Step-by-step explanation:
Given:
- The expected rate of return for risky portfolio E(r_p) = 0.18
- The T-bill rate is r_f = 0.08
Find:
Investing proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 16%.
What is the proportion y?
Solution:
- The proportion y is a fraction of expected risky portfolio and the left-over for the T-bill compliance. Usually we see a major proportion is for risky portfolio as follows:
E(r_c) = y*E(r_p) + (1 - y)*r_f
y*E(r_p) + (1 - y)*r_f = 0.16
- Re-arrange for proportion y:
y = ( 0.16 - r_f ) / (E(r_p) - r_f)
- Plug in values:
y = ( 0.16 - 0.08 ) / (0.18 - 0.08)
y = 0.80
- Hence, we see that 80% of the total investment budget becomes a part of risky portfolio returns.
Answer:
Adrian rode his scooter for a total of 70 minutes, or an hour and ten minutes.
Step-by-step explanation:
There are 60 minutes in an hour, so if Adrian started riding his scooter at 7:00AM, to get to 8:10AM he needs to add 70. Again, since there are 60 minutes in an hour, 70 minutes converts to one hour and 10 minutes. Adrian rode his scooter for 70 minutes, or an hour and ten minutes.
7:00 + :70 = 8:10
