Answer:
(f∘g)(x)=(2x+7)^3
Step-by-step explanation:
substitute g(x) in f(x)
(f∘g)(x)=f(g(x))=f(2x+7)=(2x+7)^3=(2x+7)^3
Answer:
10/4
Step-by-step explanation:
Randomthing2143 is right
Answer:
true
Step-by-step explanation:
Answer:
125%
Step-by-step explanation:
1. Set up the equation
425/340 = x/100
(percentages are out of 100 so this equation means 425 out of 340 is equal to a number out of 100)
2. Cross multiply
340x = 42500
3. Solve for x
x = 125
Answer:
5676.16 cm^3
Step-by-step explanation:
The volume of any prism is given by the formula ...
V = Bh
where B is the area of one of the parallel bases and h is the perpendicular distance between them. Here, the base is a triangle, so its area will be ...
B = 1/2·bh
where the b and h in this formula are the base and height of the triangle, 28 cm and 22.4 cm.
Then the volume is ...
V = (1/2·(28 cm)(22.4 cm))·(18.1 cm) = 5676.16 cm^3
_____
You will note that this is half the product of the three dimensions, so is half the volume of a cuboid with those dimensions. Perhaps you can see that if you took another such prism and placed the faces having the largest area against each other, you would have a cuboid of the dimensions shown.