Answer:
17/24 i believe
Step-by-step explanation:
because 8 and 12 both have 24 as the lowest common multiple and 8x3 gets 24 and 12 times 2 gets 24
so the equation would be
15/24+2/24=17/24 which cant be simplified
Answer:
$72
Step-by-step explanation:
I did 36 x 2. I did not subtract the -6 for the prize money because it says not to.
Answer:
Vertex form:
The vertex is 
Step-by-step explanation:
For a general quadratic function the form is:
For the function
The values of the coefficients for the function are the following:
,
,
Take the value of b and divide it by 2. Then, the result obtained squares it.
Add and subtract
Write the expression of the form
The vertex is 
Answer:
Step-by-step explanation:
The shape consists of three parts: a half sphere, a round cylinder and a round cone.
The half sphere volume = 1/2 * 4/3 * π * (4)^3
= 32/3 π
The round cyllinder volume = π * (4)^2 * 10
= 160 π
The round cone volume = 1/3 * π * (4)^2 * 3
= 16 π
Adding them together, the volume of shape
= 32/3 π + 160π + 16π
= (32/3 + 160 + 16)*3.14
= 586.13
Similarly the surface area
= (4π4^2)/2 + 2π4*10 + π*4*5
= (32+80+25)*3.14
= 430.18