Answer:
14
Step-by-step explanation:
Distance between y2 = x + 8 and y1 = x - 6
y2 - y1 = (x + 8) - (x - 6) = 14
Answer:First you have to add all of the shirts together, which gives you: 40
Since 15 of those are black, then you need to put those 15 over the total number of 40, making it 15/40.
Then you must simplify by the highest number that will go into both, and since that number is 5, it will then go into 15 three times and it will go into 40 eight times.
That leaves you with the answer of: 3/8
The given equations are

(1)

(2)
When t=0, obtain

Obtain derivatives of (1) and find x'(0).
x' (t+1) + x - 4√x - 4t*[(1/2)*1/√x = 0
x' (t+1) + x - 4√x -27/√x = 0
When t=0, obtain
x'(0) + x(0) - 4√x(0) = 0
x'(0) + 9 - 4*3 = 0
x'(0) = 3
Here, x' means

.
Obtain the derivative of (2) and find y'(0).
2y' + 4*(3/2)*(√y)*(y') = 3t² + 1
When t=0, obtain
2y'(0) +6√y(0) * y'(0) = 1
2y'(0) = 1
y'(0) = 1/2.
Here, y' means

.
Because

, obtain

Answer:
The slope of the curve at t=0 is 1/6.
A librarian has 150 books to be placed on shelves with an equal number of books on each shelf. If k is the number of shelves to be used, then 150/k is the number of books on each shelf.
Example : lets say there are 10 shelves.....so k = 10
150/10 = 15 books on each shelf.
Answer:
2,48,000
Step-by-step explanation:
- Initial population of bacteria = 15,500
- Bacteria doubles after every 234 hours
- So, after 0 (zero) hours, no of bacteria = 15,500
- After 234 hours, no. of bacteria = 2(15,500) = 31,000
- After 468 hours, no. of bacteria = 2(31,000) = 62,000 (2*234 = 468)
- After 702 hours, no. of bacteria = 2(62,000) = 124,000 (3*234 = 702)
- After 936 hours, no. of bacteria = 2(124000) = 2,48,000 (4*234 = 936)