Answer:
The composition is undefined.
Step-by-step explanation:
The output of f of 2 is -5 because -5 is not listed as the input in g of x the function is undefined.
Answer: x < 3
Step-by-step explanation:
To solve this inequality, we will simplify and isolate the x variable.
Given:
5x - 4 < 2x + 5
Add 4 to both sides:
5x < 2x + 9
Subtract 2 from both sides:
3x< + 9
Divide both sides by 3:
x < 3
Answer:
The volume of the solid is 420m³
Step-by-step explanation:
The area of any pyramid is "1/3 · B · h", where B is the area of the base, and h is the height.
Knowing this we just need to solve for a couple of things.
First, and the easiest is the height of the triangle which (thankfully) is given to us. The height is 15m, which plus one number into our equation.
1/3 · B · 15
Second, we need to find the area of the base of the pyramid. That's done easily by finding the area of a triangle (
→
→
→
) giving us 84 units. This puts another number into our equation.
1/3 · 84 · 15
Now that we have all of the parts to our equation, we can solve it.
1/3 · 84 · 15
1/3 · 1260
420
The volume of the solid is 420m³
Use the compound interest formula
A = P (1 + r/n)^(nt).
Here A = unknown; B = initial amount = $300;
r = rate = 0.0218; n = 2 (2 compounding periods per year); and t = 1/2 (year).
Then A = $300 (1+0.0218/2)^(2*[1/2])
A = $300 (1.0218)^1 or A = $300(1.0218) = $306.54
When multiplying fractions, you multiply the denominators together and the numerators together.
3/8 x 4/9
(4•3)/(8•9)
12/72 = 1/6
1/6 is the final answer.