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Crank
3 years ago
12

Compute $\sqrt{0.5625}$. Express your answer as a decimal.

Mathematics
1 answer:
VikaD [51]3 years ago
5 0

Answer:

0.75

Step-by-step explanation:

The square root of 0.5625 is 0.75.

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Complete the recursive and explicit formulas for the geometric sequence.
pshichka [43]

Answer:

÷(-2)

Step-by-step explanation:

200÷(-2)=(-100)

-100÷(-2)=50

50÷(-2)=(-25)

6 0
3 years ago
The Ford Motor Company claims that its 2017 model of the Ford Escape averages more than 30 miles per gallon for highway driving.
Talja [164]

Options:

A. Null hypothesis : u>30 Alternative hypothesis :u<30

B. Null hypothesis :u>30 Alternative hypothesis :u=30

C. Null hypothesis :u=30 Alternative hypothesis :u≠30

D. Null hypothesis:u=30 Alternative hypothesis :u>30

Answer:

D. Null hypothesis:u=30 Alternative hypothesis:u>30

Explanation:

The null and alternative hypotheses are hypotheses test made to decide on the value of a population parameter using sample data. They are statements that are mutually exclusive(only one can be true). Therefore the null hypothesis which is the hypothesis being tested becomes true if the alternative hypothesis(everything else that is not the null hypothesis) is false. The null hypothesis assumes that the researcher is wrong as in the above statements while the alternative hypothesis states that the researcher is right.

8 0
3 years ago
An artificial lake is in the shape of a rectangle and has an area of 9/20 square mile the width of the lake is 1/5 the length of
DIA [1.3K]
Answer:  The dimensions are:   " 1.5 mi.  ×  ³⁄₁₀  mi. " .
_______________________________________________
             { length = 1.5 mi. ;  width =  ³⁄₁₀  mi. } .
________________________________________________
Explanation:
___________________________________________
Area of a rectangle:

A = L * w ; 

in which:  A = Area = (9/20) mi.² ,
                L = Length = ?
                w = width = (1/5)*L = (L/5) = ?
________________________________________
  A = L * w ;  we want to find the dimensions; that is, the values for
                         "Length (L)"  and "width (w)" ; 
_______________________________________
Plug in our given values:
_______________________________________
 (9/20) mi.² = L * (L/5) ;  in which: "w = L/5" ; 
 
     → (9/20) = (L/1) * (L/5) = (L*L)/(1*5) = L² / 5 ;
   
          ↔  L² / 5  = 9/20 ;
 
            →  (L² * ? / 5 * ?) = 9/20 ?    

                →     20÷5 = 4 ;  so; L² *4 = 9 ;
 
                   ↔    4 L² = 9 ; 
 
                   →  Divide EACH side of the equation by "4" ;
           
                   →   (4 L²) / 4 = 9/4 ;
______________________________________
           to get:  →  L² = 9/4 ; 
 Take the POSITIVE square root of each side of the equation; to isolate "L" on one side of the equation; and to solve for "L" ;
___________________________________________          
 
     →   ⁺√(L²)   =   ⁺√(9/4) ;

    →   L  =  (√9) / (√4) ; 

    →  L = 3/2 ; 

    → w = L/5 = (3/2) ÷ 5 = 3/2 ÷ (5/1) = (3/2) * (1/5) = (3*1)/(2*5) = 3/10;
________________________________________________________
Let us check our answers:
_______________________________________
(3/2 mi.) * (3/10 mi.) =? (9/20) mi.² ??

→ (3/2)mi. * (3/10)mi.  =  (3*3)/(2*10) mi.² = 9/20 mi.² ! Yes!
______________________________________________________
So the dimensions are: 

Length = (3/2) mi. ;  write as: 1.5 mi.

width = ³⁄₁₀ mi.
___________________________________________________
or; write as:  " 1.5 mi.  ×  ³⁄₁₀ mi. " .
___________________________________________________
7 0
3 years ago
f the equation of a circle is (x - 2)2 + (y - 6)2 = 4, it passes through point ______. (2, 8) (5, 6) (-5, 6) (2, -8)
rjkz [21]

Answer:

(2, 8).

Step-by-step explanation:

(x - 2)^2 + (y - 6)^2 = 4

If x = 2 and y = 8 we have:

(2 - 2)^2 + (8 - 6)^2

= 0 + (2^2

= 4.

So it passes through the point (2,8).

8 0
3 years ago
Read 2 more answers
Need help with this math problem
Virty [35]

after 6 years this account will have 13134.58 in it

7 0
4 years ago
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