Answer:
When given a percentage of growth or decay, determined the growth/decay factor by adding or subtracting the percent, as a decimal, from 1. In general if r represents the growth or decay factor as a decimal then: b = 1 - r Decay Factor. b = 1 + r Growth Factor. A decay of 20% is a decay factor of 1 - 0.20 = 0.
Step-by-step explanation:
Answer:
The work required to empty the tank is 1,580,887 J
Step-by-step explanation:
Work = mass of chocolate × acceleration due to gravity × height of chocolate
Volume of tank (cone) = 1/3πr^2h = 1/3 × 3.142 × 2^2 × 7 = 29.33 m^3
Mass of hot chocolate = density of hot chocolate × volume of cone = 1100 kg/m^3 × 29.33 m^3 = 32,263 kg
height of chocolate = 5 m
Work = 32,263×9.8×5 = 1,580,887 J
Answer:
3 boxes
Step-by-step explanation:
you would divide 12 by 4 and get 3 so shade in 3 boxes
3. well you know to get the perimeter of a rectangle, you add together 2L and 2W. A way you could write this is-- 2x + 2(x+5). You would just need to simplify it--2x + 2x+10 --4x+10.
4. To find out how much they have in all, you just need to add them together--x+24.50 + 7x-52.34. Now you need to simplify the problem by putting the values together. x+7x + 24.50-52.34-- you can do that.
5. To do this one, look back at 3. and just change the numbers. Drawing a picture may help. The sides are x+y and the top and bottom are 5y+12.
6. same as 5.
7. I think this one is just solving for x first. make Tom and his brother's equations equal to zero and get x by itself. Tom's equation would be 8x-30=0 ----His brother's would be 5x+10. You need to find out what x equals then plug it back into the equations. To plug it in, have x's value take x's place then find the number of candies they have.
8. The easiest way to start is by writing the same values together. 4x+3x-5x-5-7+2---then just add the x's together and add the numbers together.
9. Multiply the outer numbers to both of the values in the parentheses. 2(x-4) would turn out to 2x-8. then do the same as 8. and put the same values together to simplify.
10. get x by itself. Start by multiplying 3 by x and 4 in the parentheses. simplify the numbers then subtract it from both sides to get x alone.
