The answer is B and C. The atmospheric pressure is 14lb/in2 and As the altitude approaches sea level, the atmospheric pressure increases.
Answer:
$5
Step-by-step explanation:
We want to find the cost of a notepad considering a magazine costs $3 and we buy 2 notepads and the total cost of the magazine and the 2 notepads is $13 so we can set up an equation to represent this situation. Let 'n' be notepads and that's the value we are solving for so,
⇒ Form the equation
→ 2n + 3 = 13
⇒ Minus 3 from both sides to isolate 2n
→ 2n = 10
⇒ Divide both sides by 2 to find the cost of one notepad
→ n = 5
The cost of one notepad is $5 considering that a magazine cost's $3 and two notepads and total is $13.
Answer: 8=1/2x
Step-by-step explanation:
Answer:
Step-by-step explanation: We have been given 4 expressions. We are asked to choose the expression that represents sum of cubes.
We know that sum of cubes is in form .
We can see that 1st and 2nd option has a negative sign. Therefore, these options cannot be sum of cubes.
Let us check 3rd and 4th options one by one.
We can rewrite our expression by writing terms as cubes:
Therefore, expression is a sum of cubes.
In 4th expression, we can see that . We cannot represent it as a cube. Similarly, we cannot represent as a cube. Therefore, 4th expression is not correct.
Basically, what this asks you is to maximize the are A=ab where a and b are the sides of the recatangular area (b is the long side opposite to the river, a is the short side that also is the common fence of both corrals). Your maximization is constrained by the length of the fence, so you have to maximize subject to 3a+b=450 (drawing a sketch helps - again, b is the longer side opposite to the river, a are the three smaller parts restricting the corrals)
3a+b = 450
b = 450 - 3a
so the maximization max(ab) becomes
max(a(450-3a)=max(450a-3a^2)
Since this is in one variable, we can just take the derivative and set it equal to zero:
450-6a=0
6a=450
a=75
Plugging back into b=450-3a yields
b=450-3*75
b=450-225
b=215
Hope that helps!
