Answer:
No real solutions.
Step-by-step explanation:
729s^-5 = 729/s^5
729/s^5 = 3^2(1-s) = 9(1-s)
729=9(1-s)(s^5)
(1-s)(s^5)=81
s^5-s^6=81
Because 81 > 0 this means s^6 must be less than s^5. This is never possible as 6 is even so is always positive and is always greater in magnitude than s^5. The only time this isnt the case is when s is a decimal less than 1, but then the difference would be also less than 1 and not 81.
Angles 6 and 7 are vertical angles
Y=2x+2 easy
The slop=2/1
Y-int= (0,2)
The area of the kite can be found as follows;
Area=[area of XWY]+[areaYWZ]
area XWY=1/2*b*h
=1/2*4*3=6 sq units
area YWZ=1/2*b*h
=1/2*4*4=8 sq units
Hence the area of the kite will be:
Area=6+8=14 sq. units
Answer:
<u>The correct answer is C. 5⁶</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Number of hens in a bird enclosure = (5³)² * 5⁰
2. What is the total number of hens in the enclosure?
Let's recall a couple of properties of the exponents:
1. When you raise any number to a zero power you'll always get 1, with the exception of zero itself.
x⁰ = 1, x ≠ 0
2. The power of a power property says that to calculate a power of a power you just have to multiply the exponents, this way:
(x⁴)⁵ = x ⁴°⁵ = x²⁰
Now, applying those two properties, we have:
(5³)² * 5⁰ = 5³°² * 1 = 5⁶
<u>The correct answer is C. 5⁶</u>
