Answer:
My calculation might be wrong, so take A.
Step-by-step explanation:
Volume= Volume of hemisphere+volume of cone
Volume= 
×π×r³ + πr²
Volume= ×
×4×4×4 + ×4×4×
Volume= 134.095 + 410.6
Volume= 544.695
Answer:
C
Step-by-step explanation:
The red graph is the graph of y = f(x) shifted 1 unit right and then reflected in the x- axis.
Given y = f(x) then f(x + a) is a horizontal translation of a units
• If a > 0 then shift to the left of a units
• If a < 0 then shift to the right of a units
Here shift to the right of 1 unit, thus
y = f(x - 1)
Under a reflection in the x- axis
a point (x, y ) → (x, - y )
Note the y- coordinates are the negative of each other, thus
- y = f(x)
Now 
= - y, hence
The equation for the red graph is
= f(x - 1) → C
Answer: n = 0 to 2
n = - infinity to -1
Step-by-step explanation:
Answer:
12.102, 12.012, 12.01, 12.001
Step-by-step explanation:
Since all of the numbers have the same numbers in the tens and ones places, the first place we need to compare is the tenths. The number with the greatest digit in the tenths place is 12.102, so it is first. The other numbers have a zero in the tenths place, so we move to the hundredths. 12.012 and 12.01 both have a one in the hundreds place, so we need to look at the thousandths. 12.012 is greater because it has a two in the thousandths place instead of a zero like 12.01, so it goes next, then 12.01, leaving 12.001 as the least.
Answer:
(x-5)^2+2
Step-by-step explanation:
To convert between standard and vertex form, you have to complete the square (which, as a reminder, (a+b)^2 = a^2+2ab+b^2).
Since a^2 is x^2, and 2ab is -10x, then b must be -5, so b^2 is 25. Therefore, we add and subtract 25 from the expression:
(x-10x+25)+27-25
Then, we can make (x-10x+25) to (x-5)^2:
(x-5)^2+2
