The radical parts of the two expressions above will be as follows;
a]
^3 sqrt 54=(54)^(1/3)
=(2×27)^(1/3)
=(2)^(1/3)×(27)^(1/3)
=(2)^(1/3)×(3³)^(1/3)
=3(2)^(1/3)
or
3(^3√2)
Hence the answer is 3(2)^(1/3)=3(^3√2)
a] ^3sqrt 128=(128)^(1/3)
=(2×64)^(1/3)
=2^(1/3)×64^(1/3)
=2^(1/3)×(4³)^(1/3)
=2^(1/3)×4^(3×1/3)
=2^(1/3)×4
=4(2)^(1/3)
=4(^3√2)
Answer:
Yes, because by dividing x by his equivalent y, you find a constant of proportionality being 10.
x / y = 10
Step-by-step explanation:
20 / 2 = 10
50 / 5 =10
60 / 6 = 10
70 / 7 = 10
Answer:
Step-by-step explanation:
Transverse wave, motion in which all points on a wave oscillate along paths at right angles to the direction of the wave's advance. Surface ripples on water, seismic S (secondary) waves, and electromagnetic (e.g., radio and light) waves are examples of transverse waves.
In the long run, you will lose $1 per game.
To find the expected value of this game, we have to multiply the chances by each prize. Then, add up all the possibilities.
(1/6) x $12 + (1/3) x $3 + (1/2) x $8
2 + 1 - 4 = -1
On average, you will lose $1 per game.
The width of the border will be about 2.5 feet.
The area of the rug is 9 by 7. Let's call the width of the border x. Therefore, the length of the rug will switch to 9 + 2x. The border is on both sides of it, so we add on 2x. Then, the width is 7 + 2x.
The area of the room is therefore: (9 + 2x)(7+ 2x).
We know the area of the room, so we can write and solve the following equation.
(9 + 2x)(7 + 2x) = 167
4x^2 + 32x + 63 = 167
4x^2 + 32x - 107 = 0
At this point, use the quadratic formula and x will equal about 2.5.
