Answer:
A= Q/d +N
Step-by-step explanation:
First you want to move the d term over by dividing both sides
Next you can move the N over by adding it to both sides.
Answer:
Yes, I cannot tell what it wants you to state if it is though.
Step-by-step explanation:
I am assuming you are familiar with coordinates representing x and y coordinates so (x,y). If this is unfamiliar let me know.
For a function, there cannot be a repeat of xs unless every one goes to the same y. So for instance if (3,4)(3,5) were in the list this would not be a function because 3 is used twice but goes to a different number each time.
If the list had (3,4) twice so (3,4)(3,4), that could still be a function.
In your list There are no repeating xs, so you don't even need to check. It is a function.
Answer:
12
Step-by-step explanation:
12 = 2 digits
1 + 2 = 3
1 < 2
Step-by-step explanation:
-8 < 3x + 7 <= 10
-15 < 3x <= 3 (subtract 7)
-5 < x <= 1 (divide by 3)
Hence the correct options are -3, 0 and 1.
Answer:
Below in bold.
Step-by-step explanation:
The surface area of the box
= x^2 + 4hx where x = a side of the square base and h is the height.
So x^2 + 4hx = 8
The volume of the box
V = x^2h
From the first equation we solve for h
4hx = 8 - x^2
h = (8 - x^2) / 4x
Now we substitute for h in the formula for the volume:
V = x^2 * (8 - x^2) / 4x
V = 8x^2 - x^4 / 4x
V = 2x - 0.25x^3
Finding the derivative:
V' = 2 - 0.75x^2 = 0 for max/mimn values
x^2 = 2/ 0.75 = 2.667
x = 1.633.
So the length and width of the base is 1.633 m and the height
= ( 8 - 2.667) / (4*1.633)
= 0.816 m
The maximum volume = 0.816 * 2.667 = 2.177 m^2.
The answers are correct to the nearest thousandth.