Answer:
the answer is one
Step-by-step explanation:
I used a calculator
Answer: Rational Numbers are the Numbers where if p/q, q is not equal to 0 and p is an integer. So according to this questionm denominators can’t have the negative rational numbers. If it has, we need to convert it to standard form, eg:- p/-q = -p/q
Answer:
18 1/3. You add 18 1/3 to cancel out that number.
Step-by-step explanation:
The length and width of the toolbox given the diagonal is 45 inches and 15 inches respectively.
<h3>Triangle</h3>
- Width of the triangle = w
- Length of the triangle = 3w
- Diagonal = 30 inches
Hypotenuse ² = opposite ² + adjacent ²
30² = w² + (3w²)
30² = 4w²
900 = 4w²
w² = 900/4
= 225
w = √225
w = 15
Therefore,
Width of the triangle = w
= 15 inches
Length of the triangle = 3w
= 3(15)
= 45 inches
Learn more about triangles:
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Answer:
a) 
b) 
Step-by-step explanation:
By definition, we have that the change rate of salt in the tank is 
, where 
is the rate of salt entering and 
is the rate of salt going outside.
Then we have, 
, and
So we obtain. 
, then
, and using the integrating factor 
, therefore 
, we get 
, after integrating both sides 
, therefore 
, to find 
we know that the tank initially contains a salt concentration of 10 g/L, that means the initial conditions 
, so 
Finally we can write an expression for the amount of salt in the tank at any time t, it is
b) The tank will overflow due Rin>Rout, at a rate of 
, due we have 500 L to overflow 
, so we can evualuate the expression of a) 
, is the salt concentration when the tank overflows
