Answer:
82 inches
Step-by-step explanation:
The difference between consecutive even integers is 2, thus
let the legs be n and n + 2
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
n² + (n + 2)² = 58² ← expand and simplify left side
n² + n² + 4n + 4 = 3364 ( subtract 3364 from both sides )
2n² + 4n - 3360 = 0 ( divide all terms by 2 )
n² + 2n - 1680 = 0 ← in standard form
(n + 42)(n - 40) = 0 ← in factored form
Equate each factor to zero and solve for n
n + 42 = 0 ⇒ n = - 42
n - 40 = 0 ⇒ n = 40
But n > 0 ⇒ n = 40
and n + 2 = 40 + 2 = 42
Thus sum of legs = 40 + 42 = 82 inches
The quotient of the given expression is 1/3
<h3>Difference and division of fractions</h3>
Fractions are written as a ratio of two integers
Given the expression below'
-1/9 / (-1/3)
Change the division to multiplication
-1/9 * -3/1
1/9 * 3/1
1/3
Hence the quotient of the given expression is 1/3
Learn more on fractions here: brainly.com/question/78672
#SPJ1
At the start, the tank contains A(0) = 50 g of salt.
Salt flows in at a rate of
(1 g/L) * (5 L/min) = 5 g/min
and flows out at a rate of
(A(t)/200 g/L) * (5 L/min) = A(t)/40 g/min
so that the amount of salt in the tank at time t changes according to
A'(t) = 5 - A(t)/40
Solve the ODE for A(t):
A'(t) + A(t)/40 = 5
e^(t/40) A'(t) + e^(t/40)/40 A(t) = 5e^(t/40)
(e^(t/40) A(t))' = 5e^(t/40)
e^(t/40) A(t) = 200e^(t/40) + C
A(t) = 200 + Ce^(-t/40)
Given that A(0) = 50, we find
50 = 200 + C ==> C = -150
so that the amount of salt in the tank at time t is
A(t) = 200 - 150 e^(-t/40)
Answer:
so I'm not 100% sure but in these types of questions you are supposed to divide
so you have a pack of 24 bottles for 7.99
so you would do 7.99÷24 = 0.33
then to check it you can multiply
0.33× 24 bottles and it gives you 7.93 which is super close to 7.99 anyway I hope this helps ...
Answer:
Step-by-step explanation:
B) 33
