23% off is 46 because 10%is 20 so 20% is 40 and 1% is 2 because 20/10 is 2 so the answe is 46
29 is a prime number.
Factors of 29: 1 , 29
168 is a composite number, therefore you can find the prime factorization for it. Divide prime factors until what is left is a prime number. Use the tree factor. See attached picture:
Prime factorization of 168: 2, 2, 2, 3, 7
(a) Let
denote the amount of sugar in the tank at time
. The tank starts with only pure water, so
.
(b) Sugar flows in at a rate of
(0.07 kg/L) * (7 L/min) = 0.49 kg/min = 49/100 kg/min
and flows out at a rate of
(<em>A(t)</em>/1080 kg/L) * (7 L/min) = 7<em>A(t)</em>/1080 kg/min
so that the net rate of change of
is governed by the ODE,

or

Multiply both sides by the integrating factor
to condense the left side into the derivative of a product:


Integrate both sides:


Solve for
:

Given that
, we find

so that the amount of sugar at any time
is

(c) As
, the exponential term converges to 0 and we're left with

or 75.6 kg of sugar.
The answer is 4 since it's 5y^4 where 4 is the largest exponent making it a degree of 4
Answer: The surface area of the cylinder is 777.54 meters.
Step-by-step explanation:
The Area of the top and bottom circles are about 177m and the cylinder itself is 777.54 meters
Hope this helps, sorry I am late to answer!