What is 3.14 x 11 x2

Idk why I can’t get this ?! number two plz

Arturiano [62]

The only possible outcome to this would be any number greater or less than 361 in the 300’s

7 0

2 years ago

(x +y)^5 Complete the polynomial operation

Vesna [10]

Answer:

Please check the explanation!

Step-by-step explanation:

Given the polynomial

$\left(x+y\right)^5$

$\mathrm{Apply\:binomial\:theorem}:\quad \left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i$

$a=x,\:\:b=y$

$=\sum _{i=0}^5\binom{5}{i}x^{\left(5-i\right)}y^i$

so expanding summation

$=\frac{5!}{0!\left(5-0\right)!}x^5y^0+\frac{5!}{1!\left(5-1\right)!}x^4y^1+\frac{5!}{2!\left(5-2\right)!}x^3y^2+\frac{5!}{3!\left(5-3\right)!}x^2y^3+\frac{5!}{4!\left(5-4\right)!}x^1y^4+\frac{5!}{5!\left(5-5\right)!}x^0y^5$

solving

$\frac{5!}{0!\left(5-0\right)!}x^5y^0$

$=1\cdot \frac{5!}{0!\left(5-0\right)!}x^5$

$=1\cdot \:1\cdot \:x^5$

$=x^5$

also solving

$=\frac{5!}{1!\left(5-1\right)!}x^4y$

$=\frac{5}{1!}x^4y$

$=\frac{5x^4y}{1}$

$=5x^4y$

similarly, the result of the remaining terms can be solved such as

$\frac{5!}{2!\left(5-2\right)!}x^3y^2=10x^3y^2$

$\frac{5!}{3!\left(5-3\right)!}x^2y^3=10x^2y^3$

$\frac{5!}{4!\left(5-4\right)!}x^1y^4=5xy^4$

$\frac{5!}{5!\left(5-5\right)!}x^0y^5=y^5$

so substituting all the solved results in the expression

$=\frac{5!}{0!\left(5-0\right)!}x^5y^0+\frac{5!}{1!\left(5-1\right)!}x^4y^1+\frac{5!}{2!\left(5-2\right)!}x^3y^2+\frac{5!}{3!\left(5-3\right)!}x^2y^3+\frac{5!}{4!\left(5-4\right)!}x^1y^4+\frac{5!}{5!\left(5-5\right)!}x^0y^5$

$=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5$

Therefore,

$\left(x\:+y\right)^5=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5$

6 0

2 years ago

A sign in the the store window advertises 3-t shirts for $16.50 which coronet pierced as a unit rate of the T-shirt sale sc $16.

Kruka [31]

You would have to divide 16.50 into 3 then put your answer down hope this helps

8 0

2 years ago

Which of the following expressions is equal to 1 divided by 16

Ber [7]

The correct answer is: [A]: " ( $\frac{1}{2}$ )⁴ " .
_______________________________________________

Note: ( $\frac{1}{2}$ )⁴ = $\frac{1^{4} }{2^{4} }$ ;

= $\frac{1*1*1*1}{2*2*2*2}$ ;

= $\frac{1}{16}$ .
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Consider "Choice [B]" : "( $\frac{1}{2}$ )⁴ " ;

Note: ( $\frac{1}{4}$ )⁴ = $\frac{1^{4} }{4^{4} }$ ;

= $\frac{1*1*1*1}{4*4*4*4}$ ;

= $\frac{1}{256}$ .

Note that: " $\frac{1}{256}$ " $\neq$ " $\frac{1}{16}$ " .
__________________________________________________________

Consider "Choice [C]" : "( $\frac{1}{8}$ )² " ;

Note: ( $\frac{1}{8}$ )² = $\frac{1^{2} }{8^{2} }$ ;

= $\frac{1*1}{8*8}$ ;

= $\frac{1}{64}$ .

Note that: " $\frac{1}{64}$ " $\neq$ " $\frac{1}{16}$ " .
__________________________________________________________
→ As such, the only correct answer choice is:
__________________________________________________________
Answer choice: [A]: " ( $\frac{1}{2}$ )⁴ " .
__________________________________________________________

6 0

3 years ago

The function y =3 square root –x- 3 is graphed only over the domain of {x | –8 < x < 8}. What is the range of the graph?

Flauer [41]

Using a graphing tool, we can see that the whole range of the function

is y ∈ [0,∞)

Now, in the interval

{x | –8 < x < 8}.

The range is y ∈ [0 ; 6.708)

5 0

2 years ago