Answer:
316,912,650,057,057,350,374,175,801,344
Step-by-step explanation:
You can see that this sequence is geometric so you need to know the geometric sequence which is
and if you plug in every thing you get
=
which would be
which is 316,912,650,057,057,350,374,175,801,344
The range of this function is y is equal to all real numbers such that y
0.
The definition of an absolute value is that it is always positive. Therefore, we know there can never be a negative value of y. This means that the lowest a function can go is to 0. Since there is no restrictions on how high it can go, y is able to go from 0 to infinity.
<h3>Answer:</h3>
x=5, y=2
<h3>Explanation:</h3>
The second equation gives an expression for x that can be substituted into the first equation.
... (y+3) +y = 7 . . . . . .substitute y+3 for x
... 2y + 3 = 7 . . . . . . . colect terms
... 2y = 4 . . . . . . . . . . subtract 3 from both sides
... y = 2 . . . . . . . . . . . . divide both sides by 2
Using the expression for x, we can find its value.
... x = y + 3
... x = 2 + 3 . . . . . . . . . substitute for y
... x = 5
The solution is (x, y) = (5, 2).
Answer:
Yes, she can.
Step-by-step explanation:
We have to find the surface area of the footrest and see if it greater than or less than 1 square yard.
The surface area of a rectangular prism is given as:
A=2(wl+hl+hw)
where w = width, l = length, h = height
The footrest is 15 inches by 7 inches by 9 inches. Its surface area is:
A = 2[(7 * 15) + (9 * 15) + (9 * 7)]
A = 2[105 + 135 + 63]
A = 2 * 303 = 606 square inches
1 square inch = 0.000771605 square yards
=> 606 square inches = 606 * 0.000771605 = 0.468 square yards
Since the surface area of the prism is less than 1 square yard, she can completely cover the footrest with the fabric.