Answer:
Volume = 183.26 cubic inches
Step-by-step explanation:
Volume of cone = ⅓πr²h
Where,
r = 5 in.
h = 7 in.
Plug in the values into the formula
Volume = ⅓*π*5²*7
Volume = 183.26 cubic inches (nearest hundredth)
Integers are written without no fractional components so 12 is an integer .
Natural numbers are positive numbers just like the number we count. 12 is a natural number.
Rational numbers
Answer:
long
Step-by-step explanation:
well, as you can clearly see this is certainly not a short rectangle. maybe a little stocky, but certainly not short. also, I'm not very good at math, so dont ask me.
We need to start from the innermost parenthesis and work our way out.
The first parenthesis is
. These are not like terms because one involves a variable, while the other is a constant term. Two terms are summable if they involve the same power(s) of the same variable(s).
So, we can take one step outwards, and we arrive to the square brackets. We have

and 2z and -13z are like terms, so we can sum them:

Finally we arrive to the whole expression, which is

Because, again, 5z and 11z were like terms.
Equation 1: y = -2x + 1
Equation 2: y = 2x - 3
Since both equations already have y isolated, we are able to simply set the right side of both equations equal to each other. Since we know that the value of y must be the same, we can do this.
-2x + 1 = 2x - 3
1 = 4x - 3
4 = 4x
x = 1
Then, we need to plug our value of x back into either of the original two equations and solve for y. I will be plugging x back into equation 2 above.
y = 2x - 3
y = 2(1) - 3
y = 2 - 3
y = -1
Hope this helps!! :)