Remember to follow PEMDAS. (Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction)
4^2 = 4 x 4 = 16
16/4 = 4
4 - 4 + 16
Combine
4 - 4 = 0 + 16 = 16
16 is your answer
hope this helps
Well when ever you're doing order of operations you always use please excuse my dear aunt sally please means parentheses ALWAYS GO FIRST Excuse means experience which if there's no parentheses exponents go first to my name is multiplication after parentheses multiplication always go first if there's no parentheses dear means division after multiplication comes division on means addition but pretty much after the multiplication parentheses and the division you complete the rest of the problem using the left to right method now the answer to this problem is
Volume of cylinder:
![V_{\text{cyl}}=\pi r^2h](https://tex.z-dn.net/?f=V_%7B%5Ctext%7Bcyl%7D%7D%3D%5Cpi%20r%5E2h)
, where
![r](https://tex.z-dn.net/?f=r)
is the radius and
![h](https://tex.z-dn.net/?f=h)
is the height. This volume is
![\pi\times10^2\times20=2000\pi](https://tex.z-dn.net/?f=%5Cpi%5Ctimes10%5E2%5Ctimes20%3D2000%5Cpi)
(cubic cm).
Volume of cone:
![V_{\text{cone}}=\dfrac13\pi r^2h](https://tex.z-dn.net/?f=V_%7B%5Ctext%7Bcone%7D%7D%3D%5Cdfrac13%5Cpi%20r%5E2h)
, with the same variables denoting the same parameters. This volume is
![\dfrac13\pi\times5^2\times10=\dfrac{250}3\pi](https://tex.z-dn.net/?f=%5Cdfrac13%5Cpi%5Ctimes5%5E2%5Ctimes10%3D%5Cdfrac%7B250%7D3%5Cpi)
(also cubic cm).
The number of times it would take to fill the cylinder with water using the cone as a source would be
Let's assume we were given 2 numbers: 15 and 30. Their sum is:
![15+30 = 45](https://tex.z-dn.net/?f=%2015%2B30%20%3D%2045%20)
We want to express it as the product of GCF and another sum.
15 is divisible by: 1, 3, 5, 15
30 is divisible by: 1, 2, 3, 5, 6, 10, 15, 30
The greatest number that appears in 2 series is 15.
![\frac{15}{15} = 1](https://tex.z-dn.net/?f=%20%5Cfrac%7B15%7D%7B15%7D%20%3D%201%20)
![\frac{30}{15} = 2](https://tex.z-dn.net/?f=%20%5Cfrac%7B30%7D%7B15%7D%20%3D%202%20)
In this case sum of two numbers can always be written as:
Answer and Step-by-step explanation:
The parent function is just f(x) = x.
See, the transformations equation of a parent function is as follows:
f(x) = a(x - h) + k
Where:
<u>a</u> is the scaling factor,
<u>h</u> is the horizontal (left and right) changing factor, and
<u>k</u> is the vertical (up and down) changing factor.
So, now we apply the transformations to this parent function by writing it in function g(x).
Vertically stretch by factor of 2: g(x) = 2x
Shifted up 5 units: g(x) = 2x + 5
Shifted left 4 units: g(x) = 2(x - 4) + 5
<u>g(x) = 2(x - 4) + 5 is the function.</u>
This function accomplishes these transformation by having 2 be the scale factor, 4 be the horizontal shift, and 5 be the the vertical shift.
<em><u>#teamtrees #PAW (Plant And Water)</u></em>