the prism is filled completely, that means volume of prism = sum volume of cubes
volume of a cube =h^3, volume of each cube = 14cmx14cmx14cm=2744cm^3
volume of 2304cubes = 2304 x 2744cm^3=6322176cm^3
so the volume of prism = <span>6322176cm^3</span>
36 muffins at $2 a piece would be $72
4 cakes at $8 a piece would be $32
$32+$72= $104
Jonah made $104 from the bake sale
Answer:
(B) A function is a relation in which each value of the input variable is
paired with at least one value of the output variable.
(D) The vertical line test may be used to determine whether a function
is one-to-one.
Both of these are incorrect/false statements
(I used these in my test on Apex and got both correct)
This means that if the question was reversed and asking about the statements are true, the answers would be:
(A) A sequence is a function whose domain is the set of natural
numbers.
(C) The horizontal line test may be used to determine whether a
function is one-to-one.
The figure has already been split into 3 shapes, a rectangle, a trapezium, and a triangle. I will show you how to get the area of each, so we can add it together at the end.
Rectangle:
The rectangle is fairly simple, just multiply 9 and 16 together to get 144 in².
Triangle:
Again, the triangle is pretty simple. The area of a triangle is (base × height)/2, so you do (31 × 20)/2 = 620/2 = 310 in².
Trapezium:
To find the area of a trapezium, you first add the two widths, which are 16 and 31, and then you divide it by 2. You then multiply that value by the height. 16 + 31 = 47, and 47 ÷ 2 = 23.5.
The height would be 35 (the total length of the shape) - 20 (the height of the triangle) which is 15, so 23.5 × 15 = 352.5 in².
Now we add them up, so 144 + 310 + 352.5 = 806.5 in², which is your final answer.
I hope this helps!
Those lines on the sides of x in the equation mean "absolute value". Which is a complicated way of saying "this number will never be negative". So if x = 2 then absolute value x= 2 but if x = -2 then absolute value x still is positive 2. Because of those brackets/lines (whatever they're called). So if you're given x=2 then it's simply saying y=4(2)-1 which is y=7
