Answer:
I'm sorry I'm not good at math
Step-by-step explanation:
sorry
Answer:
1/3 x 1/3 x 1/3(volume of small cube) = 1/27
2/3 x 7/3 x 4/3(volume of figure shown) = 2 2/27
Now we divide to see how many cubes can fit.:
2 2/27(make improper fraction) divided by 1/27 = 56 small little cubes can fit.
Answer:
Choice box 1: Always
Choice box 2: exactly 2 pairs
Choice box 3: adjacent
Step-by-step explanation:
If you look at a picture of a kite.
You always see the two top sides the same size and the two bottom sides the same size. Take a look at this picture.
Integrate sin(3x+1) with respect to x. Use the substitution method. Let u=3x+1 be y our substitution. Then du/dx = 3, and du = 3dx.
Then we have "integrate sin u with respect to u" . Here's where things are just a bit tricky at first. You have "integrate sin (3x+1) with respect to x." If u = 3x+1, then du/dx = 3 and du=3dx. But we don't have 3dx; we have only dx. Manipulate du=3dx as follows: du/3 = dx.
Then, "integral of sin (3x+1) dx" => "integral of sin u (du/3)"
and this is equivalent to (1/3) "integral of sin u du." We get:
(1/3)(-cos u) + c, or (-1/3)*cos u + c. Finally, subst. 3x+1 for du, obtaining
(-1/3)*cos(3x+1) + C (answer).
You should find the derivative of this as a check. If the result of your differentiation is sin(3x+1), your integral was correct. Otherwise, it's not.
Don't worry... this material becomes much easier once you've gotten the knack of it.
Try thinking about negative numbers~ :D
While this is true for positive integers, say, 5 + 6 =11...
would the sum of -15 and -1 be larger than any of the integers?
