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3 years ago

Just send in the answer please I don’t need an explanation

Mathematics

1 answer:

irga5000 [103]3 years ago

6 0

Answer:

Step-by-step explanation:

Now as you can see based on the equation needed, it requires you to multiply the weight of an average banana times your mother. Doing this should give you the correct answer.

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Let x,y \epsilon R. Use mathmatical induction to prove the identity.

mariarad [96]

Step-by-step explanation:

We will prove by mathematical induction that, for every natural n,

$(x-y)(x^{n}+x^{n-1}y+...+xy^{n-1}+y^{n})=x^{n+1}-y^{n+1}$

We will prove our base case (when n=1) to be true:

Base case:

$(x-y)(x^{n}+x^{n-1}y+...+xy^{n-1}+y^{n})=(x-y)(x^{1}+y^{1})=x^2-y^2=x^{1+1}-y^{1+1}$

Inductive hypothesis:

Given a natural n,

$x^{n+1}-y^{n+1}=(x-y)(x^{n}+x^{n-1}y+...+xy^{n-1}+y^{n})$

Now, we will assume the inductive hypothesis and then use this assumption, involving n, to prove the statement for n + 1.

Inductive step:

Observe that, for y=0 the conclusion is clear. Then we will assume that $y\neq 0.$

$(x-y)(x^{n+1}+x^{n}y+...+xy^{n}+y^{n+1})=(x-y)y(\frac{x^{n+1}}{y}+x^{n}+...+xy^{n-1}+y^{n})=(x-y)y(\frac{x^{n+1}}{y})+(x-y)y(x^{n}+...+xy^{n-1}+y^{n})=(x-y)y(\frac{x^{n+1}}{y})+y(x^{n+1}-y^{n+1})=(x-y)x^{n+1}+y(x^{n+1}-y^{n+1})=x^{n+2}-yx^{n+1}+yx^{n+1}-y^{n+2}=x^{n+2}-y^{n+2}\\$

With this we have proved our statement to be true for n+1.

In conlusion, for every natural n,

$(x-y)(x^{n}+x^{n-1}y+...+xy^{n-1}+y^{n})=x^{n+1}-y^{n+1}$

8 0

3 years ago

5. Which choice below could match the following ratio: 4 to 5 Look at

lara31 [8.8K]

Answer:

A- A teacher has 12 girls and 15 boys in her class.

Step-by-step explanation:

12/3= 4

15/3= 5

This means that it will have a ratio of 4 to 5 because it is the only problem where you are able to divide both with a common number, which is 3.

7 0

3 years ago

A 5.0g of salt was weighed by Victoria as 5.1g. What is the percentage error?

Aleksandr-060686 [28]

qwerty blablablablabal

7 0

3 years ago

Just before a referendum on a school budget, a local newspaper polls 402 voters to predict whether the budget will pass. Suppos

Sliva [168]

Answer:

21.21%

Step-by-step explanation:

Assume that proportion of support follows normal distribution.For resulting in defeat the proportion of support should less than 0.5.Given that the proportion of support is p= 0.52.

Sample size(n)= 402

We know that standard deviation is given as

$\sigma = \sqrt {\dfrac {p(1-p)}{n}}$

Now by putting the values

$\sigma = \sqrt {\dfrac{0.52\times 0.48}{402}}$

σ=0.0249

Proportion of support follows normal distribution with mean is 0.52 and standard deviation is 0.0249

We know that $Z=\dfrac{\bar{X}-\mu }{\sigma }$

$Z=\dfrac{0.5-0.52 }{0.0249}$

Z= -0.80

So P(Z<-.80) =0.2118 from standard table.

So the probability of news paper to predict defeat is 21.21%

7 0

3 years ago

How can I find x? Click for picture.

romanna [79]

Answer: You add up all the terms given of EACH angle, and make this an addition problem that is "equal to 180" ; since all triangles have three angles that add up to 180 degrees. Then you solve for "x".
__________________________________________________
(as follows) ; to get: " x = 29 ⅔ ° " .
_______________________________________

3x + 4 + 2x + x + 8 = 180 ;
_______________________________________
Combine the "like terms" ;

3x + 2x + x = 6x ;

4 + 8 = 12

So, we have: 6x + 12 = 180 ;

Now, subtract "12" from each side of the equation:
__________________________________________
6x + 12 − 12 = 180 <span>− 12 ;
</span>__________________________________________
to get:

6x = 178 ;

Now, divide EACH SIDE of the equation by "6" ; to isolate "x" on one side of the equation; and to solve for "x" ;
______________________________________
6x / 6 = 178 / 6 ;

to get: x = 178/6 = 29 ⅔ ° .
______________________________________
x = 29 ⅔ ° .
______________________________________

6 0

4 years ago