((-4x^3)(y^4))^-3
--------------------------
(2xy^4)^-4
16x^4y^16
=------------------------
-64x^9y^12
-16y^4
=------------------------
64x^5
-y
=------------------------
4x^5
So the final answer is:
-y^4
-------
4x^5
(Btw if "^" is in front of a number, that means it is an exponent, so when your writing this on paper, just write it as a regular exponent without the "^". I had to do that since I'm on a computer.)
Hopefully this was helpful in some way.
Answer:
126
Step-by-step explanation:
The number of numbers divisible by 9 is ...
j = floor(500/9) = 55
The number of numbers divisible by 7 is ...
k = floor(500/7) = 71
Then the total (j+k) is ...
j +k = 55 +71 = 126
List factors of each:
60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
45: 1, 3, 5, 9, 15, 45
The largest common value is 15
The greatest possible length of each is 15 cm
Answer: 15 cm.
Shall we make life simpler by eliminating unnecessary numbers.
<span>Totally, my expenses would be 60+200 = $260. Let us say that of this $100 would be met by the weekly bonus so that the residual part of the requirement is $160. </span>
<span>Let x be the number of hours I work. Then my earning would be 11x. For break even, earning should equal requirement. That is 11x = 160. And so, x = 160/11 = 14.55 hours/week </span>
Answer:
38.57 feets
Step-by-step explanation:
Given that:
Height of monument, h = 300ft
Shadow of monument, s = 210 ft
Shadow of tree, s = 27ft
Height of tree, = x
Using the relation :
Height / shadow = height / shadow
Monument = tree
300 / 210 = h / 27
Cross multiply
300 * 27 = 210 * h
8100 = 210h
h = 8100 / 210
h = 38.57 feets
