Answer:
The correct option is A) 13 to 3.
Step-by-step explanation:
Consider the provided information.
The pet store had 6 puppies selling for $104 each and 12 kittens selling for $24 each. Today, only 2 puppies and 8 kittens were left.
6-2 = 4 puppies sale
12-8 = 4 kittens sale
The cost of each puppies is $104.
Cost of 4 puppies:
4×$104=$416
The cost of each kittens is $24.
Cost of 4 kittens :
4×$24=$96
The ratio of sales of puppies to kittens is:
Hence, the ration of sales of puppies to kittens is 13/3.
Thus, the correct option is A) 13 to 3.
Answer: (0, 10) or 10
Step-by-step explanation:
plug 0 into y
(0) = 1/2x - 5
1/2x - 5 = 0
+ 5 + 5
1/2x = 5
* 2 * 2
x = 10
Answer:
The parametric equations for the tangent line are
:
x = Cos(10) - t×Sin(10)
y = Sin(10) + t×Cos(10)
z = 20 + 2t
Step-by-step explanation:
When Z=20:
Z=2t=20 ⇒ t=10
The point of tangency is:
r(10)= Cos(10) i + Sin(10) j + 20 k
We have to find the derivative of r(t) to get the tangent line:
r'(t)= -Sin(t) i + Cos(t) j + 2 k
The direction vector at t=10 is:
r'(10)= -Sin(10) i + Cos(10) j + 2 k
So, the equation of the tangent line is given by:
x = cos 10 -t×Sin(10)
y = sin 10 + t×Cos(10)
z = 20 + 2t
A compound inequality for the graph would be:
x >= 0 and x < 2
