It would take her 10min to finish 35 hot dogs because 21 divided by 6 equals 3.5 so in six minutes she eats 3.5 hot dogs per minute. Multiply 3.5 by ten you get 35
Yay, derivitives
I'mma ignore that x is the shorter side because I don't know which one has to be shorter yet
we need to find the max area
but with 3 sides
area=LW
let's say the sides are z and y
zy=area
and the relatiionship between them is
hmm,
z+2y=1200
because one side has no fencing
so
z+2y=1200
solve for z
z=1200-2y
sub for z in other
(1200-2y)(y)=area
expand
1200y-2y²=area
take derivitive
1200-4y=dy/dx area
max is where dy/dx goes from positive to negative
solve for where dy/dx=0
1200-4y=0
1200=4y
300=y
at y<300, dy/dx<0
at y>300, dy/dx>0
so at y=300, that is the max
then
z=1200-2y
z=1200-2(300)
z=1200-600
z=600
so then
z=600
y=300
300<600
so the shorter side would be y
so then we see our choices and noticed that
erm
I think it is f(x)=1200x-2x²
takind the derivitive yeilds none of the others
so ya, you are right
Answer:
19.5 ounces of spices
Step-by-step explanation:
Raheem made 14 ounces of curry sauce which contained (among other things), 3.25 ounces of spices. He wants to make a larger batch for a family dinner and decides he will need a total of 84 ounces of sauce altogether. How many ounces of spices will he need to complete his recipe?
The question above is calculated as:
14 ounces of sauce = 3.25 ounces of spices
84 ounces of sauce = x ounces of spices
Cross Multiply
14x = 84 × 3.25
x = 84 × 3.25/14
x = 19.5 ounces of spices
Hence, for 84 ounces of curry sauce he would need 19.5 ounces of spices
The shortest distance between 2 concentric circles is the difference of their radii. Thus the answer is 8-2=6