Answer:
Question 16 A restaurant manager is listing 7 items on a menu. Of these menu items, 3 are appetizers and 4 are main courses. All of the appetizers will be listed befo
Step-by-step explanation:
before all of the main courses. In how many ways can the restaurant manager list the items?
Answer:
the formula y=mx + b is said to be a linear function that means the graph of this function will be a straight line on the x, y plane
Step-by-step explanation:
The amount of metal used to make the can = surface area of cylindrical can, which is: D. 42π in².
<h3>What is the Surface Area of a Cylinder?</h3>
A can is a cylinder.
Surface area of a cylinder = 2πrh + 2πr²
Thus:
Amount of metal used to make the can = surface area of the can
r = 6/2 = 3 in.
h = 4 in.
Therefore:
Surface area = 2×π×3×4 + 2×π×3²
Surface area = 24π + 18π
Surface area = 42π in².
Learn more about the surface area of a cylinder on:
brainly.com/question/14657844
Given
2x³ + (x³ - 3) sin(2πy) - 3y = 0
we first notice that when x = ³√3, we get
2 (³√3)³ + ((³√3)³ - 3) sin(2πy) - 3y = 0
2•3 + (3 - 3) sin(2πy) - 3y = 0
6 - 3y = 0
3y = 6
y = 2
Differentiating both sides with respect to x gives
6x² + 3x³ sin(2πy) + 2π (x³ - 3) cos(2πy) y' - 3y' = 0
Then when x = ³√3, we find
6(³√3)² + 3(³√3)³ sin(2π•2) + 2π ((³√3)³ - 3) cos(2π•2) y' - 3y' = 0
6•³√9 + 3•3 sin(4π) + 2π (3- 3) cos(4π) y' - 3y' = 0
6•³√9 + 0 + 0 - 3y' = 0
3y' = 6•³√9
y' = 2•³√9
(that is, 2 times the cube root of 9)
If there are two cups in a pint, two pints in a quart, and four quarts in a gallon that means that there are 16 cups in a gallon. then, in order to convert, all you do is divide 152/16. when you divide this out, you get 9.5 gallons
