Answer:
The one that doesn't belong is the square root (the only irrational number in the list)
Step-by-step explanation:
The numbers;
50.1.....
50/2
and -50.1
are all rational numbers that can be written as a quotient of two integers.:
451/9 = 50.1111...
50/2
-501/10 = -50.1
The only one that cannot is the square root of 50 (it is an irrational number) since 50 is NOT a perfect square.
Answer:
Work done in stretching the spring = 7.56 lb-ft.
Step-by-step explanation:
Normal length of the spring = 8 in or ft
= ft
If the spring has been stretched to 11 inch then the stretched length of the spring is = 11 in
= ft
Force applied to stretch the spring = 12 lb
By Hook's law,
F = kx [where k is the spring constant and x = length by which the spring is stretched]
12 = k()
k = 18
Work done (W) to stretch the spring by ft will be
W =
=
=
= 9()²
= 7.56 lb-ft
Answer:
Step-by-step explanation:
A=a+b
/2 times h
A=18
Answer:
(f + g)(x) = 12x² + 16x + 9 ⇒ 3rd answer
Step-by-step explanation:
* Lets explain how to solve the problem
- We can add and subtract two function by adding and subtracting their
like terms
Ex: If f(x) = 2x + 3 and g(x) = 5 - 7x, then
(f + g)(x) = 2x + 3 + 5 - 7x = 8 - 5x
(f - g)(x) = 2x + 3 - (5 - 7x) = 2x + 3 - 5 + 7x = 9x - 2
* Lets solve the problem
∵ f(x) = 12x² + 7x + 2
∵ g(x) = 9x + 7
- To find (f + g)(x) add their like terms
∴ (f + g)(x) = (12x² + 7x + 2) + (9x + 7)
∵ 7x and 9x are like terms
∵ 2 and 7 are like terms
∴ (f + g)(x) = 12x² + (7x + 9x) + (2 + 7)
∴ (f + g)(x) = 12x² + 16x + 9
* (f + g)(x) = 12x² + 16x + 9
Average value is the integral divided by the interval length. Thinking in terms of area, the integral is the total area, and a rectangle with that same area would have width of the interval, height the average value
<span>Int(15 - 15e^(-t/2))[0,4] </span>
<span>= 15t + 30e^(-t/2)[0,4] </span>
<span>= (15*4 + 30/e^2) - (0 + 30) </span>
<span>= 60 + 30/e^2 - 30 </span>
<span>= 30(1 + 1/e^2) </span>
<span>Average value = 7.5(1 + 1/e^2)
So, the answer is A</span>