10% of 11.60 is 1.60, which means that his first raise will make his rate $12.76 per hour. 10% of 12.76 is 1.276, but since were talking about money I’ll round that up to 1.28.
1.28 plus 12.76 is 14.04, so after two years his rate of pay would be $14.04 per hour
Answer:
20 cm
Step-by-step explanation:
![3 m*\frac{1}{15} *\frac{100 cm}{1 m}](https://tex.z-dn.net/?f=3%20m%2A%5Cfrac%7B1%7D%7B15%7D%20%2A%5Cfrac%7B100%20cm%7D%7B1%20m%7D)
1. Multiply the actual depth my the scale factor of 1/15.
2. Multiply the resulting depth after multiply by the scale factor by the conversion factor of meters to centimeters.
Answer:
m = -1
Step-by-step explanation:
First write the line in slope intercept form y = mx+b where m is the slope and b is the y intercept
x-y = 6
subtract x from each side
-y = -x+6
Multiply each side by -1
y = x-6
The slope is 1
Perpendicular lines have slopes that multiply to -1
m * 1 = -1
m = -1
The slope of the perpendicular line is -1
The weight of galss cube with side 5 cm is 300 grams
<em><u>Solution:</u></em>
A glass cube is of side length 5 cm
Let us first find the volume of glass cube
<em><u>The volume of cube is given as:</u></em>
![volume = (side)^3\\\\volume =5^3 = 125](https://tex.z-dn.net/?f=volume%20%3D%20%28side%29%5E3%5C%5C%5C%5Cvolume%20%3D5%5E3%20%3D%20125)
Thus volume of cube is 125 ![cm^3](https://tex.z-dn.net/?f=cm%5E3)
Given that,
![1 cm^3 = 2\frac{2}{5} \text{ grams }\\\\1 cm^3 =\frac{12}{5} \text{ grams}](https://tex.z-dn.net/?f=1%20cm%5E3%20%3D%202%5Cfrac%7B2%7D%7B5%7D%20%5Ctext%7B%20grams%20%7D%5C%5C%5C%5C1%20cm%5E3%20%3D%5Cfrac%7B12%7D%7B5%7D%20%5Ctext%7B%20grams%7D)
So, weight of 125 cubic centimeter of glass cube is found by multiplying weight of 1 cubic centimeter of glass cube by 125
![\text{ Weight of 125 } cm^3 \text{ cube } = \text{ Weight of 1 } cm^3 \text{ cube } \times 125](https://tex.z-dn.net/?f=%5Ctext%7B%20Weight%20of%20125%20%7D%20cm%5E3%20%5Ctext%7B%20cube%20%7D%20%3D%20%5Ctext%7B%20Weight%20of%201%20%7D%20cm%5E3%20%5Ctext%7B%20cube%20%7D%20%5Ctimes%20125)
![\text{ Weight of 125 } cm^3 \text{ cube } = \frac{12}{5} \times 125 = 25 \times 12 = 300](https://tex.z-dn.net/?f=%5Ctext%7B%20Weight%20of%20125%20%7D%20cm%5E3%20%5Ctext%7B%20cube%20%7D%20%3D%20%5Cfrac%7B12%7D%7B5%7D%20%5Ctimes%20125%20%3D%2025%20%5Ctimes%2012%20%3D%20300)
Thus weight of galss cube with side 5 cm is 300 grams
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![{g}^{2} + 4gh \\ { - 3}^{2} + 4( - 3 \times 5) \\ 9 + ( - 12 \times 20) \\ 9 +( - 240 ) \\ = - 231\\](https://tex.z-dn.net/?f=%20%7Bg%7D%5E%7B2%7D%20%20%20%2B%204gh%20%5C%5C%20%20%7B%20-%203%7D%5E%7B2%7D%20%20%2B%204%28%20-%203%20%5Ctimes%205%29%20%5C%5C%209%20%2B%20%28%20-%2012%20%5Ctimes%2020%29%20%5C%5C%209%20%2B%28%20%20-%20240%20%29%20%5C%5C%20%20%3D%20%20-%20231%5C%5C%20)
</h3>
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