Answer:
k = 9.64
Step-by-step explanation:
given data
workers w = 305
time t = 2 hour
produce widgets N = 5880.4
solution
we know that here
N ∝ w × t .....................1
when we remove directly proportional so here k constant
so equation will be
N = k × w × t .....................1
put here value and we get
5880.4 = k × 305 × 2
solve it we get k
k = 9.64
Answer:
x < 11/4
Step-by-step explanation:
hope this is right!
Answer:

Step-by-step explanation:
The given equation 5y'' + 3y' - 2y =0 can be written as

Solving for complementary function we have Roots of
as follows


Thus the complementary function becomes
y=
where
are calculated roots
thus solution becomes

Now to solve for the coefficients we use the given boundary conditions

hence the solution becomes

As the pen is a triangle, the third side can either be the hypotenuse or a regular side. If the third side is the hypotenuse, it's length would be

feet. If the third side is a regular side, than it would be

≈12.689 feet. This means your third side can either be 17 feet long or 12.689 feet long.
Answer:
Statements 2, 4, and 5
Step-by-step explanation:
15≥22+x
okay so that's
22+x≤15
and that is
x≤-7
the graph would not be a closed circle, it is a vertical line.
this means your 3 correct statements would be:
x less-than-or-equal-to negative 7,
–6 is part of the solution.
–7 is part of the solution.
the last two are true based on the inequality.