Answer:
hello :
a^4
Step-by-step explanation:
a^3*a^-4*a^5 = a^(3 - 4 +5) = a^4
Answer:
height = 63 m
Step-by-step explanation:
The shape of the monument is a triangle. The triangle is a right angle triangle. The triangular monument is sitting on a rectangular pedestal that is 7 m high and 16 m long. The longest side of the triangular monument is 65 m . The longest side of a right angle triangle is usually the hypotenuse. The adjacent side of the triangle which is the base of the triangle sitting on the rectangular pedestal is 16 m long.
Since the triangle formed is a right angle triangle, the height of the triangular monument can be gotten using Pythagoras's theorem.
c² = a² + b²
where
c is the hypotenuse side while side a and b is the other sides of the right angle triangle.
65² - 16² = height²
height² = 4225 - 256
height² = 3969
square root both sides
height = √3969
height = 63 m
Answer:
area = 8(x + 6)
The distributive property says that the x must be added to the 6 before it is multiplied by the 8
4/5 of the original amount at the start of the month will remain. The amount at the start of every month will change. Thus:
an = 4/5 (an-1) ; where a1 = 500.
We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.
From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words, 
.
We also know that E=5% or E=0.05
Also, since, 
is not given, we will assume that =0.5. This is because, the formula that we use will have 
in the expression and that will be maximum only when =0.5. (For any other value of , we will get a value less than 0.25. For example if, is 0.4, then 
and thus, 
.).
We will now use the formula
We will now substitute all the data that we have and we will get
which can approximated to n=271.
So, the brand manager needs a sample size of 271
