- First of all, a 2 foot kangaroo is casting a 7 foot shadow.
- Next we do 7 divided by 2 which equals 3.5.
- Since we know the shadow is going to be 3.5x the object size we have to divide its shadow by 3.5
- 14 divided by 3.5 is 4 so the Eucalyptus tree is 4ft long
<u><em> Your answer=4ft </em></u>
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Hope this helps!
Answer and Step-by-step explanation:
Each package has 12 pencils
total number of pencils Sarah purchased: n = 12p
n = total number of pencils
p = number of packages
n depends on p, because the total number of pencils dependos on how many packages she will buy, so:
independent variable: p
dependent variable: n
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║ p ║ n = 12p ║ n ║
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║ 3 ║ n = 12*3 ║ 36 ║
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║ 4 ║ n = 12*4 ║ 48 ║
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║ 5 ║ n = 12*5 ║ 60 ║
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║ 6 ║ n = 12*6 ║ 72 ║
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║ 7 ║ n = 12*7 ║ 84 ║
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Dy/dx=2x+2
So velocity will be zero when 2x+2=0, x=-1
Since d2y/dx2=2, it has a constant positive acceleration of 2, so that when dy/dx=0 it is at an absolute minimum value for f(x), which is also the vertex.
y(-1)=1-2+3=2
So the vertex is at (-1,2), which is an absolute minimum so the parabola opens upwards.
And by symmetry we can say that f(0)=f(-2)=3 so you have another two points that you can see (-2,3) and (0,3)
Answer
The independent variable is the number of people. The initial value (initial fee) for the picnic is $40. As the number of people increases, the total cost of the picnic increases.
Answer:
answer is 4
Step-by-step explanation:
12 / 3