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Gnoma [55]
3 years ago
5

What is the expression (a^2+b^2)^2 is equivalent to

Mathematics
2 answers:
netineya [11]3 years ago
7 0
<span>(a^2+b^2)^2
since (a+b)^2=a^2+2ab+b^2, substitute a with a^2 and b with b^2, which yields:
a^4+2(a^2*b^2)+b^4</span>
Pavlova-9 [17]3 years ago
5 0
( a^{2} + b^{2} )^{2}
 ( a^{2} + b^{2} )( a^{2} + b^{2} )
(a^{4}+a^{2}b^{2}+a^{2}b^{2}+b^{4})
(a^{4}+2a^{2}b^{2}+b^{4})
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What is the answer? I'll give branliest
Katena32 [7]

Answer:

a

Step-by-step explanation:

8 0
3 years ago
I need help with this pls
antoniya [11.8K]
I'll explain it simply for you

1st question
Of course you know phythagoras theorm
You even wrote it up there
It states that the sum of the square of the two sides of an equilateral triangle is equal to the square of the hypotenuse
{a}^{2}  +  {b}^{2}   =  {c}^{2}
Where C is the hypotenuse
*NOTE* :
HYPOTENUSE is the greatest side in a triangle!!
And that's where your mistake is!
So you should take the greatest side as C
So in Q3. 7, 24 and 26 are the given numbers
You'll make the smaller two numbers a and b and the greatest number C
Using the Formula you'll solve the left side first which is
{a}^{2}  +  {b}^{2}
Then the right side which is
{c}^{2}

And if both are equal then it is a right triangle otherwise it isn't!
Let
a=7
b=24
c=26


a^2 + b^2
7^2 + 24^2
49 + 576 = 625
GREAT, Now the right side

26^2 = 676
Since they aren't equal it isn't a right angled triangle...

Then let
a=7.5
b=10
c=12.5

7.5^2 + 10^2
= 56.25 + 100
= 156.25



12.5^2 = 156.25

They are EQUAL
Therefore it is a right triangle too

Hopefully I helped
7 0
3 years ago
The p-value for a one-sided test of the population proportion is 0.0513. Which of
uysha [10]

Using the equation of the test statistic, it is found that with an increased sample size, the test statistic would decrease and the p-value would increase.

<h3>How to find the p-value of a test?</h3>

It depends on the test statistic z, as follows.

  • For a left-tailed test, it is the area under the normal curve to the left of z, which is the <u>p-value of z</u>.
  • For a right-tailed test, it is the area under the normal curve to the right of z, which is <u>1 subtracted by the p-value of z</u>.
  • For a two-tailed test, it is the area under the normal curve to the left of -z combined with the area to the right of z, hence it is <u>2 multiplied by 1 subtracted by the p-value of z</u>.

In all cases, a higher test statistic leads to a lower p-value, and vice-versa.

<h3>What is the equation for the test statistic?</h3>

The equation is given by:

t = \frac{\overline{X} - \mu}{\frac{s}{\sqrt{n}}}

The parameters are:

  • \overline{X} is the sample mean.
  • \mu is the tested value.
  • s is the standard deviation.
  • n is the sample size.

From this, it is taken that if the sample size was increased with all other parameters remaining the same, the test statistic would decrease,  and the p-value would increase.

You can learn more about p-values at brainly.com/question/26454209

3 0
2 years ago
2. 3 times the sum of a number x and 13
torisob [31]

Answer:

(x+13)2.3                 if simplifying.    

Step-by-step explanation:

sum means add. so x plus 13  times 2.3     or    2.3(x+13)

8 0
3 years ago
PLZZZZ NEED HELP!!!!!
Elena-2011 [213]
-------------------------------

4 0
3 years ago
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