Answer:
-1/32
Step-by-step explanation:
To evaluate the expression, substitute x = 2 and y = -4. Then use exponent rules to simplify. Review the rules here:
To evaluate or simplify expressions with exponents, we use exponent rules.
1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.
2. When we multiply terms with the same bases, we add exponents.
3. When we divide terms with the same bases, we subtract exponents.
4. When we have a base to the exponent of 0, it is 1.
5. A negative exponent creates a fraction.
6. When we raise an exponent to an exponent, we multiply exponents.
7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.
We will use these rules to simplify.
Answer:A Massachusetts construction worker's love of black licorice wound up costing him his life. Eating a bag and a half every day for a few ...
Step-by-step explanation:
Answer:
e. 10√30
Step-by-step explanation:
In this right triangle geometry, all of the right triangles are similar. This means that the ratio of long side to hypotenuse is the same for all triangles:
x/(10+50) = 50/x
Multiplying by 60x, we have ...
x^2 = 3000
x = 10√30 . . . . . take the square root. Matches choice E.
_____
<em>Comment on estimating</em>
You're looking for x. Examining the figure, you see that x is the long side of the triangle with hypotenuse 10+50=60, so it will be shorter than that value. x is also the hypotenuse of the triangle with long side 50. So, x will be longer than 50.
The only answer choice with a value between 50 and 60 is choice E.
You don't even need to know how to find x. You only need to know that the hypotenuse is the longest side in a right triangle.
Answer:
16-11-13-5-10 => P-K-M-E-J
2-15-18 => B-O-R
13-23 = > M-W
8-11-17 => H-K-Q
11-12 => K-L
22-11-12-19 => V-K-L-S
Step-by-step explanation:
Given
See attachment for code key
Required
Decode
16-11-13-5-10
2-15-18
13-23
8-11-17
11-12
22-11-12-19
From the code key, we can see that each number represent the alphabet at that position;
To do this, we simply replace each number with the alphabet they represent.
So, we have:
16-11-13-5-10 => P-K-M-E-J
2-15-18 => B-O-R
13-23 = > M-W
8-11-17 => H-K-Q
11-12 => K-L
22-11-12-19 => V-K-L-S
Answer:
66.56cm = perimeter
Step-by-step explanation:
First find the easy part (the rectangle)
10+10+17+17=54
subtract the part that is not really there (dashes)
54-8=46
Add the height of the circular part
46+8=54
Find the circumference of a circle with a radius of 8
2(8)(3.14)=50.24
Divide by 4 (the circumference is only 1/4 of the the actual circle in this problem)
50.24/4=12.56
Add all of it together
12.56+54=66.56
