Answer:
g(x) = 4^x + 1.
Step-by-step explanation:
The graph of f(x) = 4^x passes through the point (0, 1) because when x = 0, 4*0 = 1. Also when x = 1, 4^x= 4. So it passes through (1, 4).
For g(x) we have corresponding points (0, 2) and (1, 5).
So we see that g(x) is a similar graph but it has been translated up 1 unit.
The formula to find the volume of the composite solid is: C. V = πr²h + ⅔πr³.
<h3>How to Find the Volume of a Composite Solid?</h3>
The volume of the composite solid in the image given = Volume of cylinder + volume of hemisphere.
Volume of cylinder = πr²h
Volume of hemisphere = ⅔πr³
Therefore, formula to find the volume is: C. V = πr²h + ⅔πr³.
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Answer:
Consider the number of children to be x.
So, 144 coins were divided amongst x children.
For x-3 children, each child would have 16 coins
So, (x-3)*16=144
Solving for x, x-3=144/16
or x-3=9
or x=9+3=12
Answer is 12
Answer:
Perimeter = 6x² + 8x
Step-by-step explanation:
Perimeter = 2(length + width)
perimeter = 2((x²+x)+(2x²+3x))
perimeter = 2(x²+2x² + x+3x)
perimeter = 2(3x² + 4x)
perimeter = 2*3x² + 2*4x
perimeter = 6x² + 8x
Answer:
<em><u>$79.38</u></em>
Step-by-step explanation:
Find the diagram of the question attached
Area of the parallelogram = Base * Height
Given
Base = 8.1m
Height = 3.5m
Area of the parallelogram = 8.1 * 3.5
Area of the parallelogram = 28.35m²
If the carpet is priced at $2.80 per square meter, then;
1m² = $2.80
28.35m² = x
x = 28.35 * 2.80
x = $79.38
<em><u>Hence the cost of the carpet is $79.38</u></em>
