Answer:
$110
Step-by-step explanation:
550 x 4 x 5/100=$110
Answer:
P > 9
Step-by-step explanation:
first, you add 3 to both sides,
2p > P + 9
then subtracts P from both sides,
P > 9
your final answer is P > 9
Hope this helps! :)
Answer:
Take a look at the 'proof' below
Step-by-step explanation:
The graph of the function g(x) is similar to that of the function f(t). The local minimum, local maximum, absolute minimum, maximum etc... of 'x' is always the closest x-intercept of the graph of f(t).
Let's check if this statement is right. The two local minimum(s) of the function f(t) occurs at x = 2, and x = 6. The two local maximum(s) occur at 1/4 and 4. As you can see the maximum / minimum of the function g(x) is always an x-intercept, x = 3, x = 7.
For part (b) the absolute maximum value of the function f(t), is 8. The closest x-intercept is 9, which is our solution.
Answer: radius r = 2 inches
height h = 6 inches
Step-by-step explanation:
Given;
Volume V = 24πin3
Volume of a cylinder is given by
V = πr^2h
h = V/πr^2. ....1
Where, h = height and r = radius of cylinder
For the surface area of the cylinder with open top. we have,
S = 2πrh + πr^2
For the cost of materials used, let k represent the cost of materials used for the body of the cylinder.
Then, for the bottom will be 3k
Total cost will be represented by C, which gives
C = 2πrhk + 3πr^2k. .....2
Substituting eqn 1 to 2, we have;
C = 2πrVk/πr^2 + 3πr^2k
C = 2Vk/r + 3πr^2k
The material cost is minimum at dC/dr = 0
dC/dr = -2Vk/r^2 + 6πrk =0
6πrk = 2Vk/r^2
r^3 = 2V/6π
r = (2×24π/6π)^-3
r = (8)^-3
r = 2
Substituting r = 2 into eqn1
h = 24π/π(2^2)
h = 24/4 = 6
h = 6
Answer:
Total area = 31.5 unit²
Step-by-step explanation:
Assume 1 block = 1 unit²
Divide diagram into 3 part
1. 5 by 5 block square
2. 2 by 2 block triangle(1)
2. 3 by 3 block triangle(2)
Area of square = side × side
Area of square = 5 × 5
Area of square = 25 unit²
Area of triangle(1) = [1/2][base][height]
Area of triangle(1) = [1/2][2][2]
Area of triangle(1) = 2 unit²
Area of triangle(2) = [1/2][base][height]
Area of triangle(2) = [1/2][3][3]
Area of triangle(2) = 4.5 unit²
Total area = Area of square + Area of triangle(1) +Area of triangle(2)
Total area = 25 unit² + 2 unit² + 4.5 unit²
Total area = 31.5 unit²
