Answer:
Well 7 x 10^-5 would mean you moved the decimal 5 Times because the power at the end of 10 is how many times the decimal is moved till it’s a number greater or equal to 1. So the scientific notation of that is: 0.00003
The -5 means that it was moved to the right. Positive always means left. Negative is always right.
Average speed the others are categorical.
Subtracting 10x from the given equation gives
120 = 15x
Then dividing by 15 gives
8 = x
Zorah will have to play 8 hours in order to break even (cover her expenses exactly).
Answer:
Lines in the same plane that intersect to form a 90 degree angle
Step-by-step explanation:
Answer: After 4 hours both candles be at the same height .
Explanation:
Since we have given that
Height of red candle = 8 inches
Rate at which red candle is burning is given by
![\frac{7}{10}\ inch\ per\ hour](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B10%7D%5C%20inch%5C%20per%5C%20hour)
Height of blue candle = 6 inches
Rate at which blue candle is burning is given by
![\frac{1}{5}\ inch\ per\ hour](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D%5C%20inch%5C%20per%5C%20hour)
Let 'y' be the height of both the candles after burning
Let 'x' be the amount of time it burns in hours.
So, equation for red candle be
![y=8-\frac{7}{10}x](https://tex.z-dn.net/?f=y%3D8-%5Cfrac%7B7%7D%7B10%7Dx)
equation for blue candle be
![y=6-\frac{1}{5}x](https://tex.z-dn.net/?f=y%3D6-%5Cfrac%7B1%7D%7B5%7Dx)
According to question, we get
![8-\frac{7}{10}x=6-\frac{1}{5}x\\\\8-6=\frac{7}{10}x-\frac{1}{5}x\\\\2=\frac{7x-2x}{10}\\\\2=\frac{5x}{10}\\\\2=\frac{1x}{2}\\\\2\times 2=x\\\\4\ hours=x](https://tex.z-dn.net/?f=8-%5Cfrac%7B7%7D%7B10%7Dx%3D6-%5Cfrac%7B1%7D%7B5%7Dx%5C%5C%5C%5C8-6%3D%5Cfrac%7B7%7D%7B10%7Dx-%5Cfrac%7B1%7D%7B5%7Dx%5C%5C%5C%5C2%3D%5Cfrac%7B7x-2x%7D%7B10%7D%5C%5C%5C%5C2%3D%5Cfrac%7B5x%7D%7B10%7D%5C%5C%5C%5C2%3D%5Cfrac%7B1x%7D%7B2%7D%5C%5C%5C%5C2%5Ctimes%202%3Dx%5C%5C%5C%5C4%5C%20hours%3Dx)
Hence, after 4 hours both candles be at the same height .