For this case we must find the product of the following expression:
By definition of properties of powers and roots we have:
We rewrite the expression using the lowest common index of 6, then:
We rewrite the terms in an equivalent way:
We rewrite the expression using the property mentioned:
We combine using the product rule for radicals:
So:
ANswer:
Option b
Answer:
1) pounds
2) grams
3) tons
Step-by-step explanation:
The suitable measurements for the scenarios are:
1) A piano weighs 5.5 × 10² units
550 Ib (pounds)
2) A grain of salt weighs 1.02 × units
0.00102 grams
3) A tractor trailer weighs 8.8 × units
88 ton
10²g = 1kg
10^-3g = miligrams
10^1 g = decagram
Answer:
The total length of rebar used is 21.66 meters.
Step-by-step explanation:
Given:
Ivan had cut a reinforcing bar in 19 pieces and length of each bar is 1.14 meters.
Number of pieces = 19
Length of each piece = 1.14
We need to find the total length of reinforcing bar.
To calculate the total length we will multiply number of pieces with length of each piece.
Hence,
Total length of rebar = Number of pieces × Length of each piece =
Rounding to nearest hundred = 21.66 m
Hence the total length of reinforcing bar is 21.66 meters.
Turn both equations into slope-intercept form [ y = mx + b ].
x + 3y = 3
~Subtract x to both sides
3y = 3 - x
~Divide 3 to everything
y = 1 - x/3
~Reorder
y = -1/3x + 1
4x + 3y = -6
~Subtract 4x to both sides
3y = -6 - 4x
~Divide 3 to everything
y = -2 - 4x/3
~Reorder
y = -4/3x - 2
Graph of the equations will be shown below. Note that the solution of graphing two equations will be where both equations intersect. Both lines intersect at (-3, 2), hence making that the solution.
Best of Luck!
