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Likurg_2 [28]
2 years ago
8

Evaluate C(5, 0).  Combinations

Mathematics
1 answer:
denpristay [2]2 years ago
5 0
The general equation for the combination is as shown below,
                                      
                 C(n,r) = n!/(r!(n-r)!)

Note that the symbol "!" means factorial. 

In our example, n = 5 and r = 0. Substituting the known values,
                   C(5,0) = 5!/(0!(5-0)!) = 1

The answer to this item is 1. 
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If the small inner window has a glass area of 153.94 in^2, what is its diameter, in inches?
Wittaler [7]

Answer:

14

Step-by-step explanation:

1) 153.94 divided by π

2) Simplify 49.00062388 to 49

3) 2√49

4 0
2 years ago
The function f(x)=(x-5)^2 +2 is not one-to-one. Identify a restricted domain that makes the function one-to-one, and find the in
Anon25 [30]

We have been given a quadratic function f(x)=(x-5)^{2} +2 and we need to restrict the domain such that it becomes a one to one function.

We know that vertex of this quadratic function occurs at (5,2).

Further, we know that range of this function is [2,\infty).

If we restrict the domain of this function to either (-\infty,5] or [5,\infty), it will become one to one function.

Let us know find its inverse.

y=(x-5)^{2}+2

Upon interchanging x and y, we get:

x=(y-5)^{2}+2

Let us now solve this function for y.

(y-5)^{2}=x-2\\
y-5=\pm \sqrt{x-2}\\
y=5\pm \sqrt{x-2}\\

Hence, the inverse function would be f^{-1}(x)=5+\sqrt{x-2} if we restrict the domain of original function to [5,\infty) and the inverse function would be f^{-1}(x)=5-\sqrt{x-2} if we restrict the domain to (-\infty,5].

8 0
2 years ago
Solve the inequality t/4 &gt;7<br> And 2c/3 +1&gt;7
Maru [420]

Answer:   c > 12

Step-by-step explanation:tep  1  :

           c

Simplify   —

           3

Equation at the end of step  1  :

       c            

 ((2 • —) -  1) -  7  > 0  

       3            

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        1     1 • 3

   1 =  —  =  —————

        1       3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2c - (3)     2c - 3

————————  =  ——————

   3           3    

Equation at the end of step  2  :

 (2c - 3)    

 ———————— -  7  > 0  

    3        

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        7     7 • 3

   7 =  —  =  —————

        1       3  

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

(2c-3) - (7 • 3)     2c - 24

————————————————  =  ———————

       3                3    

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  2c - 24  =   2 • (c - 12)  

Equation at the end of step  4  :

 2 • (c - 12)

 ————————————  > 0  

      3      

Step  5  :

5.1    Multiply both sides by  3  

5.2    Divide both sides by  2  

Solve Basic Inequality :

5.3      Add  12  to both sides

            c > 12

Inequality Plot :

5.4      Inequality plot for

        0.667 X  - 8.000  >  0

 

 

One solution was found :

                  c > 12

3 0
3 years ago
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Natali5045456 [20]

Answer:

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Step-by-step explanation:

you would just to 39^2-15^2 which is 1296 and the square root of that is 36 so 36 would be the answer

3 0
3 years ago
Read 2 more answers
CAN SOMEONE HELP ME I DON'T GET IT PLEASEE
Marysya12 [62]

Answer:

a rise of 20 degrees

Step-by-step explanation:

since it started at -2 degrees, you have to add enough to get out of the negatives.

-2 + 2= 0, then 0+18 to get to the 18°

-2 + 20 = 18

3 0
2 years ago
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