Answer:
7/10
Step-by-step explanation:
Answer:
x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.
Step-by-step explanation:
V= x^2y = 500
Surface area A = x^2 + 4xy.
From the first equation y = 500/x^2
So substituting for y in the equation for the surface area:
A = x^2 + 4x * 500/x^2
A = x^2 + 2000/x
Finding the derivative:
dA/dx = 2x - 2000x^-2
dA/dx = 2x - 2000/x^2
This = 0 for a minimum/maximum value of A, so
2x - 2000/x^2 = 0
2x^3 - 2000 = 0
x^3 = 2000/ 2 = 1000
x = 10
Second derivative is 2 + 4000/x^3
when x = 10 this is positive so x = 10 gives a minimum value of A.
So y = 500/x^2
= 500/100
= 5.
Answer:
2/3
Step-by-step explanation:
its right
Hello!
First of all, 6 and 10 are not prime numbers as they both have at least two pairs of factors (one factor pair plus one and itself).
Anything multiplied by two is even. Therefore, a) 2 counterexamples the statement. Just to show why 7 doesn't work, seven multiplied by 3 is 21, which is odd, and 7 times 7 is 49, and 7 times 5 is 35 (all prime multipliers). The only one that works is two.
I hope this helps!
Answer:
0.2
Step-by-step explanation:
C.O.P-the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX.
So to find that you would divide y by x.
In this case the dot is between 0 and 2 on y so it is 1 and between 4 and 6 on x so it is 5.
Then you would divide 1/5 and get 0.2 or you could look at the end of the graph and notice that the last point is at (10,2) and divide 2/10 and get the same thing.
HOPE THIS HELPS!!!
