Answer:
Volume of the frustum = ⅓πh(4R² - r²)
Step-by-step explanation:
We are to determine the volume of the frustum.
Find attached the diagram obtained from the given information.
Let height of small cone = h
height of the large cone = H
The height of a small cone is a quarter of the height of the large cone:
h = ¼×H
H = 4h
Volume of the frustum = volume of the large cone - volume of small cone
volume of the large cone = ⅓πR²H
= ⅓πR²(4h) = 4/3 ×π×R²h
volume of small cone = ⅓πr²h
Volume of the frustum = 4/3 ×π×R²h - ⅓πr²h
Volume of the frustum = ⅓(4π×R²h - πr²h)
Volume of the frustum = ⅓πh(4R² - r²)
Answer:
1) A
2) min; min; max; max
3) y = x² + 5x - 3
Step-by-step explanation:
f(x) = x² + 2(x)(5) + 5² - 5² + 24
f(x) = (x + 5)² - 25 + 24
f(x) = (x + 5)² - 1
In ax² + bx + c,
if a > 0, it's a min
if a < 0, it's a max
y = ax² + bx + c
Using (0,-3)
-3 = a(0)² + b(0) + c
c = -3
y = ax² + bx - 3
Using (1,3)
3 = a + b - 3
a + b = 6
Using (-1,-7)
-7 = a(-1)² + b(-1) - 3
-7 + 3 = a - b
a - b = -4
b = a + 4
a + (a + 4) = 6
2a = 2
a = 1
b = 5
y = x² + 5x - 3
Answer:
5.2 hours
Step-by-step explanation:
To find the solution, you need to multiply Aretha's time by 1.6, since Neal takes 1.6 as long to run the marathon.
3.25 × 1.6 = 5.2
In other words, Neal takes 5.2 hours to run the marathon. Let me know if I can help you with anything else, 'kay?
Two negatives make a positive so, -13 - (-49) equals -13 + 49, or 49-13, they are all the same thing, all equal to 36.
Answer:
Domain: (
−
∞
,
∞
)
, {
x
|
x
∈
R}
Range: (
−
∞
,
∞
)
, {
y
|
y
∈
R}
Step-by-step explanation:
We can simplify to understand how to answer the question better.
<em>5 * 11x = 55x</em>
<u>Function range definition:</u><u> </u>
The set of values of the dependent variable for which a function is defined.
- The range of polynomials with odd degree is all real numbers.
<u>So the solution is.. </u>
-∞<x<
∞
<u>And the interval notation is..</u>
(-
∞.
∞)
