Answer:
Simplify 3⋅6+2⋅4/3⋅6+2⋅6.
Step-by-step explanation:
Exact Form:
a=274/9
Decimal Form:
a=30.¯4
Mixed Number Form:
a=30 4/9
is it right???
6/ sqrt(8)=
6/sqrt(8) * sqrt(8)/sqrt(8)
6sqrt(8)/8
3/4 * sqrt(8)
3/4 * sqrt(4*2)
3/4 * sqrt(4) * sqrt(2)
3/4 *2*sqrt(2)
3/2 *sqrt(2)
5/sqrt(11) *sqrt(11)/sqrt(11)
5sqrt(11)/11
5/11 *sqrt(11)
Answer:
k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)
Step-by-step explanation:
Solve for k over the real numbers:
4 k - 10/k = 8
Bring 4 k - 10/k together using the common denominator k:
(2 (2 k^2 - 5))/k = 8
Multiply both sides by k:
2 (2 k^2 - 5) = 8 k
Expand out terms of the left hand side:
4 k^2 - 10 = 8 k
Subtract 8 k from both sides:
4 k^2 - 8 k - 10 = 0
Divide both sides by 4:
k^2 - 2 k - 5/2 = 0
Add 5/2 to both sides:
k^2 - 2 k = 5/2
Add 1 to both sides:
k^2 - 2 k + 1 = 7/2
Write the left hand side as a square:
(k - 1)^2 = 7/2
Take the square root of both sides:
k - 1 = sqrt(7/2) or k - 1 = -sqrt(7/2)
Add 1 to both sides:
k = 1 + sqrt(7/2) or k - 1 = -sqrt(7/2)
Add 1 to both sides:
Answer: k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)
I think it would be 2x + 4
Answer:
6%
Step-by-step explanation:
Interest = Principal x Rate x Time (in years)
30 = 500r
r = 3/50 or 6/100 which is 6%