Answer:
Patricia will run 132 kilometers with 11 liters of gas.
Step-by-step explanation:
The given table is representing the distance driven by Patricia for every liter of gas she puts in her car.
With 3 liters of gas she drives 36 kilometers.
This means in one liter of gas distance covered by the car = 
kilometers.
Similarly if the car runs 48 kilometers in 4 liters of gas then per liter distance covered by the gas will be = 
kilometers
Now with 11 liters of gas distance covered by the car will be = 11×12
= 132 kilometers
Therefore, with 11 liters of gas Patricia can run 132 kilometers.
Answer:
Step-by-step explanation:
1) True. This is because the divergence of F is 1, thus, F is a linear function. Orientation is given outward to the surface. Linear function double integrated over a surface with outward orientation gives volume enclosed by the surface.
2) True. This is primarily what the Divergence theorem is.
3) False. If F was 3/pi instead of div(F), then the statement would have been true.
4) False. The gradient of divergence can be anything. The curl of divergence of a vector function is 0, not the gradient o divergence.
5) False. While finding Divergence, derivatives are taken for different variables. Since the derivatives of constants are 0, therefore, both the vector functions F and G can be different constant parts of there components even if their divergences are equal.
When the demand and supply curve intersect, that is, where the quantity demanded and quantity supplied are equal, the market is said to be in equilibrium. Thus, the given quantity is equilibrium quantity.
From the graph, we see that when the production cost of wheat is $4, the equilibrium quantity is 600 units.
When the production cost lowers from $4 to $3, the supply of wheat increases, such that the equilibrium quantity increases from 600 units to 800 units.
Thus, after an increase in supply, the equilibrium quantity increases.
So, Option A is the correct answer.
The second question:
Consider the division expression 
. Select all multiplication equations that correspond to this division expression.
Answer:
1. See Explanation
2. and
Step-by-step explanation:
Solving (a):
Given
Required
Interpret 
in 2 ways
<u>Interpretation 1:</u> Number of groups if there are 5 students in each
<u>Interpretation 2:</u> Number of students in each group if there are 5 groups
<u>Solving the quotient</u>
<u>For Interpretation 1:</u>
The quotient means: 12 groups
<u>For Interpretation 2:</u>
The quotient means: 12 students
Solving (b):
Given
Required
Select all equivalent multiplication equations
Let ? be the quotient of t
So, we have:
Multiply through by 2
Rewrite as:
--- This is 1 equivalent expression
Apply commutative law of addition:
--- This is another equivalent expression
Answer:
Step-by-step explanation:
Given the expression 4^{-2}•7^{-2}. The following expression are equivalent to given expression on simplification.
Generally from indices, a^-b = 1/a^b. Applying this to the given expression we have:
4^{-2}•7^{-2} = 1/4^2 • 1/7^2
= 1/(4×4) • 1/(7×7)
= 1/16 • 1/49
= 1/(16×49)
= 1/784
