Answer: 511
Step-by-step explanation:
53.
For this problem simply plug in the numbers: 1 through 9 for n
the n=1 on the bottom represents the start and the 9 at the top represents the end
and the 2^n-1 represents the rule
solving for a1: plugging in one for n
a1=2^1-1
a1=1
a2=2^2-1
a2=2
a3=2^3-1
a3=4
a4=2^4-1
a4=8
a5=2^5-1
a5=16
a6=2^6-1
a6=32
a7=2^7-1
a7=64
a8=2^8-1
a8=128
a9=2^9-1
a9=256
after finding all these values add them all together and you should get your answer
1+2+4+8+16+32+64+128+256
=511
1.


Multiply both sides by x:

Subtract from both sides Gx:

Then solve this equation:

2.


Multiply both sides by x:

Subtract from both sides Gx:

Then solve this equation:
Answer: 888,000
Step-by-step explanation:
Base: 600 x 600 = 360,000
600 x 440 x 2 (there is 4 triangles and 2 makes 1 square. So there is 2 pairs so times 2)= 528,000
360,000 + 528,000= 888,000
3x/(x+1) + (x+1)/(2x) + (5/x)
To find the least common denominator, we multiply the denominators that cannot factor into eachother. x, the denominator in 5/x, fits into 2x, so we do not need to multiply this number.
Therefore, the least common denominator is:
2x(x+1)
The first term will be multiplied by 2x/2x
The second term will be multiplied by (x+1)/(x+1)
The third term will be multiplied by 2(x+1)
<span> f(x) = x^2 + 4x − 1 and g(x) = 5x − 7
</span>(fg)(x) = (x^2 + 4x − 1)(5x − 7)
(fg)(x) = 5x^3 + 20x^2 - 5x - 7x^2 - 28x + 7
(fg)(x) = 5x^3 + 13x^2 - 33x + 7
answer is C. third choice
(fg)(x) = 5x^3 + 13x^2 - 33x + 7