13406=thirteen thousand, four hundred six.
Answer:
Square base dimension = 15 inches
Maximum volume = 7200 inches^3
Step-by-step explanation:
V = x^2y ..... eq 1
Let the square base be x and the height y
Oversize formular is given by
Y + 4x = 92
Y= 92 - 4x .....eq 2
Put eq 2 into eq 1
V = x^2 ( 92 - 4x^3)
V= 92x^2 - 4x^3
Using derivatives
V= 184x - 12x^2
V'= 0 = 184x - 12x^2
X(184 -12x)
X=0
X = 184/12 = 15.33 approximately 15 inches
Maximum Volume = V= 92(15)^2 -5(15)^3
V= 92(225) - 4(3475)
V= 20700 - 13500
V= 7200 inches^3
Answer:
We can put fill 6 packages and that gives 48 muffins so there will be 5 muffins left over
Hope this helps and brainliest please
-6 and 4.5
So to do this you’ll make an equation x will represent the number so 4x^2+6x=108 so we want the equation to equal 0 so we can solve it to do that you have to subtract 108 from both sides so it ends up being 4x^2+6x-108=0 we want to isolate the x onto one side and division property allows us to divide both sides by 2 the reason it’s two is because 2 is the biggest divisible number that every number in the equation is divisible by so once you divide every number by two you get 2x^2+3x-54=0 now you have to factor cause but since you only have 3x and nothing else to factor with you have to write 3x as a difference so you could do 2x^2+12x-9x-54=0 so you are complicating the problem so you can factor out 2x from the expression so 2x(x+6)- 9(x+6)=0 the 54 got factored because it’s divisible by 9 that 6 is in replace of the 54 cause if you solved it 9x6 is still 54 next factor out x+6 so (x+6) x (2x-9) =0 so one of the two have to equal 0 so right the equations separately x+6=0 minus 6 from both sides and you’ll get x to equal -6 and 2x-9=0 add 9 to both sides and you’ll get 2x=9 divide both sides by 9 and you’ll get x to equal 4.5 when you plug 4.5 and -6 for x the equation works out
Answer:
5n+p>40
n+p<20
Step-by-step explanation:
Since pennies are worth 1 cent and nickels 5, using n as the number of nickels and p as the number of pennies, we can say that 5*n+1*p>40. Then, n+p is less than 20, so n+p<20. Our answer is then
5n+p>40
n+p<20
