Since irrational numbers are forever going, multiplying any nonzero rational number with an irrational number will make the product irrational as well
Answer:
800m
Step-by-step explanation:
Answer:
The functions satisfy the differential equation and linearly independent since W(x)≠0
Therefore the general solution is
Step-by-step explanation:
Given equation is
This Euler Cauchy type differential equation.
So, we can let
Differentiate with respect to x
Again differentiate with respect to x
Putting the value of y, y' and y'' in the differential equation
⇒m²-10m +24=0
⇒m²-6m -4m+24=0
⇒m(m-6)-4(m-6)=0
⇒(m-6)(m-4)=0
⇒m = 6,4
Therefore the auxiliary equation has two distinct and unequal root.
The general solution of this equation is
and
First we compute the Wronskian
=x⁴×6x⁵- x⁶×4x³
=6x⁹-4x⁹
=2x⁹
≠0
The functions satisfy the differential equation and linearly independent since W(x)≠0
Therefore the general solution is
Answer:
Step-by-step explanation:
Let football cost be f and basketball cost be b
<u>We have two equations as per given:</u>
- 5f + 14b = 110
- 10f + 6b = 82.50
We need to find b, therefore we'll eliminate f
<u>To do so we'll double the first equation and subtract the second one:</u>
- 2(5f + 14b) - (10f + 6b) = 2(110) - 82.50
- 28b - 6b = 220 - 82.50
- 22b = 137.5
- b = 137.5/22
- b = 6.25
Each basketball costs $6.25
Answer:
Step-by-step explanation:
Their are 18 medical professionals in total. Their are 3 doctors and 15 nurses. This means that only 17% of the medical professionals are doctors. 10 of the medical professionals are female, leaving the fact that 8 are male. This means that 44% of the Medical professionals are males. If we add these values it would be a total of 61%. We don't need a fractional value because we can use process of elimination. It is more than 1/2 so we can eliminate the 1st and the second answer. In addition to this all these values are out of 18 people therefore the answer would be 8/18
