Answer:
The length of the shorter piece is 
.
The length of the longer piece is 
.
Step-by-step explanation:
The five-step method is GUESS method.
Given:
Length of steel beam, 
Length of longer piece is 1 foot longer than twice the shorter one.
Unknown:
Length of longer and shorter pieces of beam.
Let the length of shorter piece be 
feet.
Therefore, the length of longer beam is equal to 
Evaluate:
Sum of lengths of longer and shorter pieces of beam is equal to the total length of beam. So,
Substitute and Solve:
Now, we have, 
.
Substitute 5 for for the lengths of shorter and longer pieces and solve for each. This gives,
Length of shorter piece = 
Length of longer piece = 
Therefore, the lengths of shorter and longer pieces are and respectively.
Answer:
The differential equation is ![\frac{dx(t)}{dt} = k x(t) [7000 - x(t)]](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%28t%29%7D%7Bdt%7D%20%3D%20k%20%20%20x%28t%29%20%5B7000%20-%20x%28t%29%5D)
Step-by-step explanation:
From the question we are told that
The number of students are 
The number of student that have contracted the flu is x(t)
The number of student that don't have the flu is mathematically represented as
The rate at which the disease spread is proportional to the number of interactions between students with the flu and students who have not yet contracted it, which can be mathematically represented as
![\frac{dx(t)}{dt} \ \ \ \alpha\ \ \ x(t) [7000 - x(t)]](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%28t%29%7D%7Bdt%7D%20%5C%20%5C%20%5C%20%5Calpha%5C%20%5C%20%5C%20%20%20x%28t%29%20%5B7000%20-%20x%28t%29%5D)
=>
Draw a rectangle and make 4 boxes in the shape ,then shade one box
Answer: D
Step-by-step explanation:
It seems there is two ways to solve this, remember that this is just one of them.
The triangle to the left is an isosceles triangle by definition. It is given that two of its sides are equal.
The angles opposite the equal sides in an isosceles triangle are congruent. It is given that one of these angles is 70 degrees, so the other one must be 70 degrees as well.
This angle is opposite to Angle Y. Vertical angles are congruent, so Angle Y must be 70 degrees.
D is the answer.
