7(12 1/3) + 8(12 1/3 + 1/4) = 3(6(12 1/3) - 9) - 8
12 1/3 = 12.33
1/4 = 0.25
7(12.33) + 8(12.33 + 0.25) = 3(6(12.33) - 9) - 8
86.31 + 8(12.58) = 3(73.98 - 9) - 8
86.31 + 100.64 = 3(64.98) - 8
186.95 = 186.94 - 8
186.95 ≠ 178.94
False. The x, when 12 1/3 does not work inside this equation
hope this helps
9514 1404 393
Answer:
8000π mm^3/s ≈ 25,133 mm^3/s
Step-by-step explanation:
The rate of change of volume is found by differentiating the volume formula with respect to time.
V = 4/3πr^3
V' = 4πr^2·r'
For the given numbers, this is ...
V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s
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<em>Additional comment</em>
By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.
Given :
A 136 foot tall cell phone tower casts a 79.9 foot shadow.
To Find :
The shadow length for a nearby 40 foot telephone pole .
Solution :
We know , the ratio of height and shadow , will be same for every object .
Let , length of shadow of pole is x .
So ,
Therefore , the length of shadow of tower is 23.5 foot .
Hence , this is the required solution .
Answer:
11 people will get both the prizes.
Step-by-step explanation:
In this question we need to find common integral multiples of 5 and 7 under 400. As you can see in the figure 35th person is the first one to get both ipod and psp. The LCM (least common multiple) of 5 and 7 which is 35 (!!! <em>I hope you know how to LCM of two integers </em>).
Therefore the integral multiples of 35 will be same as the common multiples of 5 and 7. So, figuring out the number of integral multiples of 35 under 400 will give the answer.
To do that divide the number 400 with 35. On performing the division the quotient will be 11 and the remainder will be 15.
Therefore 11 persons out of 400 will get both the prizes.
Similarly if you want to find the number of person getting ipod then divide 400 with 5. The quotient will be 80. ∴ 80 people will get ipod.
And for psp, divide 400 with 7. The quotient will be 57. ∴ 57 people will get psp.
In these divisions, consider just the quotient, here remainder is of no use.
The answer is 31.5 in.^3 because
4.5 • 3.5 • 2 = 31.5in.^3
