Answer:
Somewhere from $50 million to $100 million
Step-by-step explanation:
Hurricanes usually hit the southernmost states of the USA and considering the fact that all three manufacturing plants are in the southernmost states, it would be reasonable to assume that a single hurricane can wipe out at least one or two since Alabama and Florida are really close to each other and Texas is known to get hurricanes. It usually just depends on where the hurricane occurs.
The question is an illustration of composite functions.
- Functions c(n) and h(n) are
and 
- The composite function c(n(h)) is
- The value of c(n(100)) is
- The interpretation is: <em>"the cost of working for 100 hours is $130000"</em>
The given parameters are:
- $5000 in fixed costs plus an additional $250
- 5 systems in one hour of production
<u>(a) Functions c(n) and n(h)</u>
Let the number of system be n, and h be the number of hours
So, the cost function (c(n)) is:
This gives
The function for number of systems is:
<u>(b) Function c(n(h))</u>
In (a), we have:
Substitute n(h) for n in
Substitute
<u>(c) Find c(n(100))</u>
c(n(100)) means that h = 100.
So, we have:
<u>(d) Interpret (c)</u>
In (c), we have:
It means that:
The cost of working for 100 hours is $130000
Read more about composite functions at:
brainly.com/question/10830110
Answer:
5in x 10in
Step-by-step explanation:
Solution:
1. You have to assume that the ring will land on the board and as a result, just focus on one rectangle of the board since they are all the same size.
2. For the ring to land entirely inside the rectangle, the center of the ring needs to be 1.5 inches inside the border (radius is 1.5 inches), so the "winning rectangle" will have dimensions:
L = (x - 2(1.5)) = x - 3
w = (2x - 2(1.5)) = 2x-3.
3. Now, we will set up and solve our geometric probability equation. The winning rectangle's area of (x-3)*(2x-3) divided by the total rectangle's area of x*(2x) = 28%
(2x-3)*(x-3)/(2x^2) = .28
2x^2 - 9x + 9 = .56x^2
1.44x^2 - 9x + 9 = 0
4 . Now you can plug that in the quadratic formula and get the solutions x = 1.25 or 5. However, it cannot by 1.25 because that is too small of a dimension for the the circle with diameter of 3 to fit in, the answers has to be 5.
5. As a result, the dimensions of the rectangles are 5in x 10in.
27x2+12x
By the way the 2 is meant to be 27x squared but I don't know how to get the symbol
Answer:
B)15 yards
Step-by-step explanation:
We can solve this using Pythagoras theorem as
Let
Width of the pool= c
Length of diagonal of swimming pool =b
Length of the pool= a
c^2= b^2 + a^2
c^2 - b^2 = a^2
C^2 = 29^2 - 25^2
C^2=( 841-625)
C= √216
( Width of the pool)=15 yards
Hence, measurement is closest to the width of the pool is 15 yards
