The useful hint here is the shape of the area which is square. By definition, a square is a two-dimensional figure that consist of two parallel sides have the same equal measure. The only given dimension of a square is its side. The area is equal to the square of the side. Since the side has a measure of x²y³,
A = s² = (x²y³)²
By the laws of exponents, for this problem, just simply distribute the outer exponent to each of the inner exponent.
A = x⁴y⁶
(50/4) + (6/4) is the answer that you are looking for. All you do is break up the number that you are going to divide into easy-to-divide numbers.
Answer:
y= 4
Step-by-step explanation:
(y-4) (y+7)=0
(4-4) (4+7)=0
(0) (11)=0
11*0=0
Answer:
a
The null hypothesis is 
The alternative hypothesis 
b

c
The decision rule is
Fail to reject the null hypothesis
Step-by-step explanation:
From the question we are told that
The value given is
S/N
1 7 5
2 4 3
3 8 7
4 8 8
5 7 9
6 7 5
7 6 5
Generally the sample mean for the first sample is mathematically represented as

=> 
=> 
Generally the sample mean for the second sample is mathematically represented as

=> 
=> 
Generally the sample standard deviation for the first sample is mathematically represented as

=> 
=> 
Generally the sample standard deviation for the second sample is mathematically represented as

=> 
=> 
Generally the pooled standard deviation is

=> 
=> 
The null hypothesis is 
The alternative hypothesis 
Generally the test statistics is mathematically represented as

=> 
=> 
Generally the degree of freedom is mathematically represented as

=> 
=> 
From the t distribution table the probability of
at a degree of freedom of
is

Generally the p-value is

From the values obtained we see that
hence
The decision rule is
Fail to reject the null hypothesis
9514 1404 393
Answer:
25 +0i
Step-by-step explanation:
The conjugate of a complex number is that number with the sign of the imaginary part reversed.
For z = -3+4i, its conjugate z* is -3-4i. The product of z and z* is ...
(-3 +4i)(-3 -4i) = -3(-3 -4i) +4i(-3 -4i)
= 9 +12i -12i -16i² = 9 +16 = 25
The real part of the product is 25; the imaginary part is 0.
(-3 +4i)(-3 -4i) = 25 +0i
_____
You may have noticed that (z)(z*) = |z|², the sum of the squares of the real and imaginary parts. It is always a non-negative real number.