Answer:

Step-by-step explanation:
Multiply out  in order to find out which expression it is equivalent to.
 in order to find out which expression it is equivalent to. 
1) Since the whole quantity is squared, write it out as  .
. 

2) Multiply binomials by using the FOIL method. Multiply the terms that are listed first in each binomial, then the ones that are listed outermost when looking at both binomials, then innermost, and finally the last terms listed in each binomial. Simplify and combine like terms. 


3)   , so
, so  must be
 must be  . Thus,
. Thus,  is equivalent to -1. Knowing this, simplify and combine like terms.
 is equivalent to -1. Knowing this, simplify and combine like terms. 


Thus, it is equivalent to   .
 . 
 
        
             
        
        
        
<u>Answer</u>
√7 × √5
√3 × √2
<u>Explanation</u>
√9*√16   = 3 × 4 
               = 12
              = 12/1      ⇒ It is a rational answer.
√7*√5  = √(7×5)
             = √35
            = 5.916079783.... ⇒ Irrational
√3*√2  = √(3×2)
            = √6
             = 2.449489743...  ⇒  Irrational
4√2*√2 = 4 × √(2×2)
               = 4 × √4
               = 4 × 2
               = 8
               = 8/1   ⇒  It is rational
The expressions that would give irrational answers are: √7*√5  and√3*√2
 
        
             
        
        
        
Answer:
 = −0.26
 = −0.26
 = 0.4219
 = 0.4219
Step-by-step explanation:
Given:
Sample1:  98.1  98.8  97.3  97.5  97.9 
Sample2: 98.7  99.4  97.7  97.1  98.0
Sample 1           Sample 2              Difference d
98.1                        98.7                       -0.6   
98.8                       99.4                       -0.6
97.3                        97.7                       -0.4
97.5                        97.1                         0.4
97.9                        98.0                       -0.1
To find:
Find the values of  and
 and 
d overbar (  )  is the sample mean of the differences which is calculated by dividing the sum of all the values of difference d with the number of values i.e. n = 5
)  is the sample mean of the differences which is calculated by dividing the sum of all the values of difference d with the number of values i.e. n = 5
 = ∑d/n
 = ∑d/n
  = (−0.6 −0.6 −0.4 +0.4 −0.1) / 5
  = −1.3 / 5
 = −0.26
 = −0.26
s Subscript d is the sample standard deviation of the difference which is calculated as following:
  = √∑(
 = √∑( -
 -  )²/ n-1
)²/ n-1 
 =
 =
√ 
     =  √ (−0.6 − (−0.26
))² + (−0.6 − (−0.26))² + (−0.4 − (−0.26))² + (0.4 −  
                                                                      (−0.26))² + (−0.1 − (−0.26))² / 5−1
=   
 
= 
= 
= 0.4219
 = 0.4219
 = 0.4219
 Subscript d represent
μ represents the mean of differences in body temperatures measured at 8 AM and at 12 AM of population.
 represents the mean of differences in body temperatures measured at 8 AM and at 12 AM of population. 
 
        
             
        
        
        
Answer: 14s - 7s/2 = 84
Step-by-step explanation:
Given that s is the length of the unknown side:
Area of the shaded region = 84
Area of rectangle - Area of triangle = 84
Area of rectangle = L * W
= 14 * s
= 14s
Area of triangle = ¹/₂ * base * height 
= ¹/₂ * 14 * s/2
= 7s/2
Area of shaded region:
14s - 7s/2 = 84
Solving for s:
14s - 7s/2 = 84
28s - 7s = 168
21s = 168
s = 168/21
s = 8 inches
 
        
             
        
        
        
1 2/3 is 5/3 as in improper fraction