Answer:
The value of
is
.
Step-by-step explanation:
We need to simplify the numeric expression using property. The expression is as follows :

The property to be used is : 
This property is valid if the base is same. Here, base is x.
In this given problem, x = 4, a = 1/3 and b = 1/5
So,

So, the value of
is
.
Answer:
You have at least a 1 out of 40 chance that your name will be drown
Step-by-step explanation:
Step-by-step explanation:
#1.
(a + 2b)²
<em>Using identity (x + y)² = x² + 2xy + y², we get:</em>
= (a)² + (2b)² + 2 × (a) × (2b)
= a² + 4b² + 4ab
= a² + 4ab + 4b² Ans.
#2.
(5x - 3y)²
<em>Using identity (a - b)² = a² - 2ab + b², we get:</em>
= (5x)² + (3y)² - 2 × (5x) × (3y)
= 25x² + 9y² - 30xy
= 25x² - 30xy + 9y² Ans.
#3.
(3a + 4)(3a - 4)(9a² + 16)
<em>Using identity (x + y)(x - y) = x² - y², we get:</em>
= [(3a)² - (4)²][9a² + 16]
= (9a² - 16)(9a² + 16)
= (9a²)² - (16)²
= 81a⁴ - 256 Ans.
Answer:
D) {-2, 1, 2, 5}
Step-by-step explanation:
The "output" of a function will never be an ordered pair, so we can immediately eliminate options A and B.
In this case, the output refers to the y-values of the function.
Since the ordered pairs are: (-2, 5), (-1, 1), (2, -2), and (5, 2), we see that the output of this function is: 5, 1, -2, 2.
Thus, choice D is correct.
Let me know if this helps!
Answer:
she made electronic calculating machines in order to calibrate rockets and make everything more precise
Step-by-step explanation: