Simplify the mathematical expressions and arrange them in order of their values from least to greatest. ↓ ↓ ↓ ↓

Answer and Step-by-step explanation:

To simplify algebraic expressions, follow the basic rules:

1. Remove brackets or parentheses by multiplying factors;

2. Use exponent rule to remove grouping, if terms have exponents;

3. Add or subtract like terms;

4. Combine constants;

In the expressions above, there only constants and scientific notations, i.e., exponents elevated on a base 10. So, to simplify, we multiply the numbers and add the exponents:

(4.27 x 10⁸)(9.2 x 10⁻⁵) = 39.28 x 10³

(6.96 x 10⁵)(8.43 x 10⁻²) = 58.67 x 10³

2.07 x 10³

= 1.84 x 10²

0.875 x 10⁷

All the exponents are positive, which means, comma "moves" to the right.

The numbers arranged from least to greatest will be

1.84 x 10² < 2.07 x 10³ < 39.28 x 10³ < 58.67 x 10³ < 0.875 x 10⁷

42.4

step-by-step explanation:

convert to decimal

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.