Answer:
see explanation
Step-by-step explanation:
The mean of a set of data is calculated using
mean =
, that is
= 7.1
37.5 + y = 7.1 ( multiply both sides by 6 )
37.5 + y = 42.6 ( subtract 37.5 from both sides )
y = 5.1
I believe it's C because 15 with an exponent of 5 is 15 x 15 x 15 x 15 x 15.
So that's basically larger than 15 x 15 x 15 x 15.
Common sense.
Answer:
x²(x - 1)²
Step-by-step explanation
Given the expression x^4 - 2x^3 + x^2
Factoring out the common terms;
x^2 (x^2-2x + 1)
Factorize the expression in bracket
= x^2 (x^2-2x + 1)
= x^2 (x^2-x-x + 1)
= x^2 (x(x-1)-1(x-1))
= x^2 (x-1)(x-1)
<em>= x^2(x-1)^2</em>
<em>Hence the factored form of the expression is x²(x - 1)²</em>
1. Let the sides of a triangle be a, b and c.
Assume c is the largest side.
The maximum angle measure in an acute triangle can be 90°. In such a case we would have
![a^{2} + b^{2} = c^{2}](https://tex.z-dn.net/?f=%20a%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%3D%20c%5E%7B2%7D%20)
Now forget about side c, and open the angle between a and b just a little bit. Now clearly
![a^{2} + b^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2B%20b%5E%7B2%7D)
is larger that
![c^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D)
because the "new c" is larger than the old one.
2. So for 3 numbers to be the lengths of the sides of an acute triangle, the sum of the squares of the 2 smaller numbers must be at most equal to the square of the largest number but not more.
Check:
A. 4^2+5^2=16+25=41<49
B. 5^2+7^2=25+49=74>64
C. 6^2+7^2=36+49=85<100
D. 7^2+9^2=49+81=130<144
3. Correct answer: only B
Conversion is <span>the act or an instance of converting or the process of being converted.</span>