Answer:

Step-by-step explanation:
Area of the Rectangular Carpet=12*5=60m²
Area of the Square rug=2*2=4m²
Expressing the area of the rug as a fraction of the total area of the carpet, we have:
.
The fraction of the carpet that is covered by the rug is
.
Hi there!

Evalute by substituting in 5 for x:
w(5) = 9(5) + 8
Simplify:
w(5) = 45 + 8 = 53
Answer:
See below
Step-by-step explanation:

Recall

Using the chain rule

such that 
we can get a general formulation for

Considering the power rule

we have

therefore,

Now, once

we have

Hence, we showed

================================================
For the integration,

considering the previous part, we will use the identity

thus

and

Considering 
and then 
we have

Therefore,


Answer:
i think H(5) plus the 50 $ but it may be wrong
Step-by-step explanation:
If H is 60 then 5 times is 300 plus the 50 he already had so it all adds up to 350