Answer:
$4
Step-by-step explanation:
I tried to make it as simple as possible.
Determine the independent variable and dependent variable in the situation
The independent variable is the <em><u>"</u></em><em><u>amount of water the plant receives</u></em><em><u>"</u></em>, and the dependent variable is the <u><em>"</em><em>height of the plant</em><em>"</em><em>.</em></u>
- An independent variable is a the variable which causes a change.
- A dependent variable is the result or effect of a change.
Therefore, the independent variable from the phenomena is <em><u>"amount of water"</u></em> and the dependent variable is the <u><em>"</em><em>height of the plant</em><em>"</em><em>.</em></u>
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Answer:
c(x,y)/(x²+y²)
Step-by-step explanation:
Since E(x,y) = -∇V (x,y ) and V(x,y) =c ln (ro/√ x²+y²)
Let ro/√(x²+y²) = u and √(x²+y²) = v
dV/du = c/u = c√(x²+y²)/ro,
du/dv = -ro/(x²+y²) = -ro/² and dv/dx = x/√(x²+y²)
Using the chain rule,
So dV/dx = dV/du × du/dv × dv/dx
= c√(x²+y²)/ro × -ro/(x²+y²) × x/√(x²+y²)
dV/dx = -cx/(x²+y²)
- dV/dx = -(-cx/(x²+y²)) = cx/(x²+y²)
Also, dv/dy = y/√(x²+y²)
Using the chain rule
dV/dy = dV/du × du/dv × dv/dy
= c√(x²+y²)/ro × -ro/(x²+y²) × y/√(x²+y²)
dV/dy = -cy/(x²+y²)
- dV/dy = -(-cy/(x²+y²)) = cy/(x²+y²)
E(x,y) = -∇V (x,y )
= -(dV/dx)i + [-(dV/dy)]j
= [cx/(x²+y²)]i +[ cy/(x²+y²)]j
= c(x,y)/(x²+y²)
Answer:
The fraction of passengers remaining on the bus is 5/21
Step-by-step explanation:
To answer this question, we should choose any arbitrary value for the number of passengers on the bus initially.
We should have in mind that whatever value we shall be choosing, it should be a multiple of 3 and 7 since that is what we shall be dividing with.
Now, let’s choose the value 42 for the number of passengers originally at the on the bus.
At the first stop, 1/3 of the passengers exit. The number of passengers that exited will be 1/3 * 42 = 14
At the second stop, the number of passengers that exited is 3/7 of original. That would be 3/7 * 42 = 18 passengers
The total number of passengers that this have exited since we do not have any new addition to the original number is 18 + 14 = 32 passengers
Now the number remaining on the bus will be 42 - 32 = 10 passengers
This is equal to a fraction of 10/42 = 5/21
Answer:
Step-by-step explanation:
<u>"The product"</u> means multiplication so we have to multiply these two values together.
When we multiply two negative numbers together <u>it results in a positive</u>.
Keeping this in mind, solve the equation.
-3 1/4*-1 1/2
First multiply the fractions
1*1=1
4*2=8
1/8
Now the numbers.
-3*-1=3
The answer is 3 1/8.
Hope this helps!
