1
Rearrange terms
2
Find common denominator
3
Combine fractions with a common denominator
4
Multiply the numbers
5
Add
3
to both sides of the equation
6
Simplify
7
Multiply all terms by the same value to eliminate fraction denominators
8
Cancel multiplied terms that are in the denominator
9
Multiply the numbers
10
Subtract
11x
from both sides of the equation
11
Simplify
12
Divide both sides of the equation by the same term
13
Simplify
Answer:
$95.78
Step-by-step explanation:
f(t) = 300t / (2t² + 8)
t = 0 corresponds to the beginning of August. t = 1 corresponds to the end of August. t = 2 corresponds to the end of September. So on and so forth. So the second semester is from t = 5 to t = 10.
$T₂ = ∫₅¹⁰ 300t / (2t² + 8) dt
$T₂ = ∫₅¹⁰ 150t / (t² + 4) dt
$T₂ = 75 ∫₅¹⁰ 2t / (t² + 4) dt
$T₂ = 75 ln(t² + 4) |₅¹⁰
$T₂ = 75 ln(104) − 75 ln(29)
$T₂ ≈ 95.78
we get, x = 1 and y = 5
Step-by-step explanation:
from first equation we get,
y = 4x +1
then,
putting the value of y in second equation :-
=》3x + 2y = 13
=》3x + 2 (4x + 1) = 13
=》3x + 8x + 2 = 13
=》11x = 13 - 2
=》11x = 11
=》 x = 11 / 11
=》 x = 1
putting the value of x in equation 1
=》y = 4x + 1
=》y = (4 × 1) + 1
=》y = 4 + 1
=》y = 5
Answer:
it is not a irrational number
3/40
=1/40+1/40+1/40
=0.025+0.025+0.025
=0.075
