Answer: 3234 cubic units
Step-by-step explanation:
Volume of cylinder: πr²h
The diameter of the cylinder is 14 units so the radius is 7 units.
Now we'll substitute.
π = 22/7
h = 21
πr²h
π × 7² × 21
22/7 × 49 × 21 = 3,234
The volume is 3,234 cubic units.
$50,000 Profit * 52 (Weeks in a Year) = $2,600,000
F ∪ H is defined as the set that consists of all elements belonging to either set F or set H (or both).
F ∩ H is defined as the set composed of all elements that belong to both F and H
Answer:
y = -3x +5
Step-by-step explanation:
parallel lines so slope of the lines will be equal.
m1 = m2
y = mx + b,
y = -3x + b
substituting y = -1 and x = 2
-1 = -3(2) + b
-1 = -6 + b
therefore, b = -1 + 6
b = 5
by substituting b = +5
therefore, the equation is,
y = -3x + 5
Question says that the graph of function g is a vertical stretch of the graph of function f by a factor of 3.
Now we have to find about which equation describes function g.
We know that if f(x) is the given function then a*f(x) gives vertical stretch or compress by a factor of a.
when 0<a<1 then it compresses by factor of a.
when a>1 then it stretches vertically by factor of a.
Given that function f is stretched by a factor of a so that means we use a=3 in formula a*f(x)
Hence final answer will be g(x)=3f(x).
So choice A is correct answer.
