A movie theater sells tickets to a new show for $11 each. The theater also sells small containers of popcorn for $5 each. The th
1 answer:
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Answer:
Option B is correct.
volume in cubic millimeters is, 8000 cubic mm
Step-by-step explanation:
Volume of a cube is found by multiplying the length of any edge by itself twice.
It is given by:
cubic units,......[1] where V represents the volume of a cube and a represents the side of a length.
From the given figure;
Length of a side(a) = 2 cm
Use conversion, to convert cm into mm;
1 cm = 10 mm
then;
2cm =20 mm
⇒length of a side(a) = 20 mm
Substitute the value of a = 20 mm in [1];
cubic mm
Simplify:
Therefore, the volume in cubic millimeters is, 8000 cubic mm
Answer:
68
Step-by-step explanation:
Any function is evaluated by putting the argument value where the variable is, then doing the arithmetic. When the argument is another function value, that function value is evaluated first.
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<h3>f∘g</h3>The "o" in (fog) is a stand-in for the "ring operator" (∘) which is the operator used to signify a composition. A composition is evaluated right-to-left. That means (f∘g)(x) ≡ f(g(x)). The value of g(x) is found first, and is operated on by the function f.
Writing the composition in the form f(g(x)) lets you identify the layers of parentheses. As with any expression evaluation, the Order of Operations applies. It tells you to evaluate the expression in the innermost parentheses and work your way out.
<h3>g(-2)</h3>To evaluate (f∘g)(-2) = f(g(-2)), we must first evaluate g(-2). That is ...
g(x) = 5x +4
g(-2) = 5(-2) +4 = -10 +4 = -6 . . . . . put -2 where x is, do the math
<h3>f(g(-2))</h3>Now that we know g(-2) = -6, we know this expression is ...
f(-6) = 8 -10(-6) = 8 +60 = 68 . . . . . substitute for x in 8-10x
Then the value we're looking for is ...
(f∘g)(-2) = 68
