Answer:
60
Step-by-step explanation:a=1/2bh a=1/2*5*12=60*1/2 =30 30*2=60
Answer:
6.05 units
Step-by-step explanation:
We are given that radius,r=3 units
Volume of cone=57 cubic units
We have to find the height of cone.
We know that
Volume of cube=
Where
Using the formula
h=6.05 units
Hence, the height of cone=6.05 units
The answer is: "42" .
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Explanation:
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From the stem-and-leaf plot provided, we can write the following values from the data set, from least to greatest:
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{15, 18, 46, 50, 50, 50, 50, 57} ;
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To calculate the mean, we take the sum of all the values in the data set; that is, we add up all the values in the data set; and we divide that sum total by the number of values in the data set.
In our data set, we have EIGHT (8) values.
To calculate the mean:
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{15 + 18 + 46 + 50 + 50 + 50 + 50 + 57} / 8 = the mean {our answer}.
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→ {15 + 18 + 46 + 50 + 50 + 50 + 50 + 57} / 8 =
→ {336} / 8 = 42 .
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The answer is: " 42 " .
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Hope this explanation is helpful.
Answer:
Step-by-step explanation:
Given that, N(t) is continuous and it is model as
1. The rate of growth of N(t) is proportional to the difference between food supply (fa) and the food sustaining (fc)
Then,
dN(t)/dt ∝ fa - fc
2. fc is proportional to the size of the population N.
i.e.
fc ∝ N(t)
We have two proportions.
Analysis of each proportion.
1. dN(t)/dt ∝ fa - fc
Let β be the constant of proportionality
Then,
dN(t)/dt = β(fa - fc). Equation 1
Also for the second proportion
fc ∝ N(t)
Let γ be constant of proportionality
Then,
fc = γN(t). Equation 2
Substitute equation 2 into 1
So,
dN(t)/dt = β(fa - γN(t))
Divide both side by β
1/β dN(t)/dt = fa - γN(t)
Therefore, fa = 1/β dN(t)/dt + γN(t)
Note, 1/β is still a constant let Call it β again
Then,
fa = γN(t) + β dN(t)/dt
This is the model formulated
fa = γN(t) + β dN(t)/dt