For this type of problems, we try to work with the rate of production per unit time.
Let
x=rate of production of old machine (parts/hour)
x+2=rate of production of new machine (parts/hour)
"the new machine finished a certain job in 7 hours while the old one needed 8 hours to produce the same number of engine parts. "
means
7(x+2) = 8x
Solve for x
8x-7x=14
x=14 parts/hour (rate of old machine)
x+2=16 parts/hour (rate of new machine)
Check: 7(14+2)=112, 8(14)=112 ✔
Answer:
B. f(x) = 4 log(x+3)
Step-by-step explanation:
B. f(x) = 4 log(x+3) : shifted three units to the left of g(x) = 4 logx
Answer:
The shaded are is 
Step-by-step explanation:
we know that
The shaded area is equal to the area of the semicircle minus the area of the circle inside the semicircle
step 1
Find the area of semicircle
The area of semicircle is equal to
where
----> the radius is half the diameter
substitute
step 2
Find the area of the circle inside the semicircle
The area of circle is equal to
where
---> the radius of circle inside is half the radius of semicircle
substitute
step 3
Find the shaded area
assume
3 significant figures is
Answer:
$1 every 3 minutes
Step-by-step explanation:
Cause every 36 minutes Scarlett earns $12 and if you divide 36 by 12 it will give 3 minutes which means she earns $1 per 3 minutes. You're right.
