Answer:
5430.85 square feet
Step-by-step explanation:
Height of the cylindrical part of the cilo = 25 feet
radius of the base cylindrical part of cilo = 8 feet
Now volume of cylindrical part of cilo =
Volume of cylindrical part of cilo = 
= 
Now,
Height of the conical part of cilo = 6 feet
Radius of the conical part of cilo = 8 feet
Volume of the conical part of cilo = 
= 
Volume of the entire cilo = 
since 
volume of entire cilo = 
= 5430.85
Answer:
7.5 < x≤10.5
Step-by-step explanation:
14<2x−1≤20
Add 1 to all sides
14+1<2x−1+1≤20+1
15<2x≤21
Divide each side by 2
15/2 <2x/2 ≤21/2
7.5 < x≤10.5
(ab)² and ab² are not equal. When you have something in parentheses being squared, you have to square everything inside, so in the case of (ab)², you have to "distribute" the ² to both variables inside. That gives you a²b², not just ab².
If the abstract way is kind of confusing for you, just pick two random numbers for a and b and plug them in to test it. Say a = 3 and b = 4. Then
(3*4)² = 3*4²
(12)² = 3*16
144 ≠ 48
Answer:
C
Step-by-step explanation:
Starting with the first part, shifting 2 units left, this means that for this new function, for each value of x, the original function is equal to if you plugged in a value 2 values higher. Therefore, we should be looking for a x+2 -- that's C. Then, for the second part, we need to go up 9 units, which adds 9, so C fits that as well.
Answer:
E
Step-by-step explanation:
Given
y = 2x² - kx + 3
with a = 2, b = - k and c = 3
Since the curve touches the x- axis at one place then the roots are real and equal and the discriminant for this condition is
b² - 4ac = 0, that is
(- k)² - (4 × 2 × 3) = 0
k² - 24 = 0 ( add 24 to both sides )
k² = 24 ( take the square root of both sides )
k = ± 
= ± 2
k = 2 or k = - 2 → E
