Answer:
289
Step-by-step explanation:
It depends on what you mean by the delimiting carats "^"...
Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for

.
In that case, you want to find the antiderivative,

Complete the square in the denominator:

Now substitute

, so that

. Then

which simplifies to

Now, recall that

. But we want the substitution we made to be reversible, so that

which implies that

. (This is the range of the inverse sine function.)
Under these conditions, we have

, which lets us reduce

. Finally,

and back-substituting to get this in terms of

yields
Answer C. The pattern is that each number in sequence 1 is being doubled to get the number in sequence 2, and 40*2=80
Answer:
The length is 12 inches.
Step-by-step explanation:
The volume of a rectangular prism is given by:
V=LBH
It was given that; the rectangular prism has a volume of 600 cubic inches.
The height of the prism is 5 inches and the width is 10 inches.
We want to find the length of the rectangular prism.
We substitute V=600, H=5,and W=10 into the formula:
600=5×10×L
600=20L


Answer:
x = 50
Step-by-step explanation:
add all terms and set sum equal to 360
the 'hint' of (n-2)180 determines how many degrees there are inside the polygon; if 'n' equals the number of sides and the polygon has 4 sides then sum of interior angles is (4-2)180 or 2x180 which is 360
x + 10 + 3x + x + 2x = 360
combine like terms to get: 7x + 10 = 360
7x = 350
x = 50