Answer:
x - 99 ≤ -104 → 2nd line
x - 51 ≤ -43 → 1st line
150 + x ≤ 144 → 4th line
75 < 69 - x → 3rd line
Step-by-step explanation:
Ugh! Wow, this is going to be tedious, thanks alot, bro (jk, I got your back).
x - 99 ≤ -104
+ 99 + 99
x ≤ -5
There should be a line going from -5 to negative infinity (AKA the left) with a FILLED circle. So, the second one is correct.
x - 51 ≤ -43
+ 51 + 51
x ≤ 8
There should be an arrow with a FILLED circle going to negative infinity (AKA the left). So, the first one is correct.
I'm going to take a shortcut and notice that one of the lines has a filled circle while the other one has an empty circle. So the empty circle must relate to the question without a ≤ or ≥, but with a < or >. We see that 75 < 69 doesn't have ≤ or ≥ but a '<.' So this one must have the empty circle, which is on line 3. The last equation has to be on line 4.
The ratio of building heights will be the same as the ratio of shadow lengths.
(taller building)/(shorter building) = (longer shadow)/(shorter shadow)
(taller building)/(84 ft) = (110 ft)/(46 ft) . . . . . . fill in the given numbers
(taller building) = (84 ft)*(110/46) ≈ 200.9 ft . . multiply by 84 ft, evaluate
The appropriate selection is
D) 200.9 ft
(cube root of 5) * sqrt(5)
--------------------------------- = ?
(cube root of 5^5)
This becomes easier if we switch to fractional exponents:
5^(1/3) * 5^(1/2) 5^(1/3 + 1/2) 5^(5/6)
------------------------ = --------------------- = ------------- = 5^[5/6 - 5/3]
[ 5^5 ]^(1/3) 5^(5/3) 5^(5/3)
Note that 5/6 - 5/3 = 5/6 - 10/6 = -5/6.
1
Thus, 5^[5/6 - 5/3] = 5^(-5/6) = --------------
5^(5/6)
That's the correct answer. But if you want to remove the fractional exponent from the denominator, do this:
1 5^(1/6) 5^(1/6)
---------- * ------------- = -------------- (ANSWER)
5^(5/6) 5^(1/6) 5
Answer:
$125
Step-by-step explanation:
11,000 - 9,500 = 1,500
1,500 / 12 = 125 (we use 12 because 12 months = 1 year)
