A: 2-3x
First distribute 8-3(x+2) to get
8-3x-6.
Combine like terms to simplify the equation: 8-6=2
And now the answer is 2-3x
The function that best represents the data is y = 0.75x + 4.5. The slope in this case represents the increase in the amount she spends in $ due to the number of cards she makes. The intercept with the Y axis (4.5) means that she has an expense of 4.5 $ without having made any card yet.
4!•3! = 144
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Volume is a three-dimensional scalar quantity. The volume of the space between the cylinder and the two cones is 1184.43183 cm³.
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the circumference of the base is 61 cm, therefore, the radius of the base will be,
Circumference = 61 cm
2πR = 61
R = 61/(2π) = 9.70845 cm
The volume of the cylinder(Outside shell) can be written as,
Volume = πR²×H
= π× (9.70845)² ×12
= 3553.29326 cm³
The volume of the two identical cones will be,
The volume of the cone = 2× (1/3) × π × R² × H
= (2/3)×π×(9.70845²)×12
= 2368.86143 cm³
The volume of the space between the cylinder and the two cones is,
The volume between space = 3553.29326 cm³ - 2368.86143 cm³
= 1184.43183 cm³
Hence, the volume of the space between the cylinder and the two cones is 1184.43183 cm³.
Learn more about Volume:
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