Answer:
Step-by-step explanation:
Work done is given by
, where d = length of cable and w = weight of cable.
Here, d = 175 ft and w = 3 lb/ft
Now, 
![work \ done= 3\left [175x-\frac{x^2}{2} \right ]_0^{175}](https://tex.z-dn.net/?f=work%20%5C%20done%3D%203%5Cleft%20%5B175x-%5Cfrac%7Bx%5E2%7D%7B2%7D%20%20%5Cright%20%5D_0%5E%7B175%7D)
![work \ done= 3\left [175^2-\frac{175^2}{2} \right ]](https://tex.z-dn.net/?f=work%20%5C%20done%3D%203%5Cleft%20%5B175%5E2-%5Cfrac%7B175%5E2%7D%7B2%7D%20%20%5Cright%20%5D)
Answer:
Step-by-step explanation:
<u>1- digit numbers: </u>
- 1 to 9, number of digits = 9
<u>2- digit numbers:</u>
- 10 to 99, number of digits = 2(99 - 9) = 180
<u>3- digit numbers:</u>
- 100 to 999, number of digits = 3(999 - 99) = 2700
This is more than we have, but we know the number of pages is 3-digit.
<u>Let it be x, then we have:</u>
- 9 + 180 + 3(x - 99) = 1074
- 3(x - 99) = 1074 - 189
- 3(x - 99) = 885
- x - 99 = 885/3
- x - 99 = 295
- x = 295 + 99
- x = 394
MISSING DETAILS
Yoko's fish tank has 17 liters of water in it. She plans to add 5 liters per minute until the tank has at least 57 liters. What are the possible numbers of minutes Yoko could add water?
Answer:
Minutes = 8 minutes
Step-by-step explanation:
Topic: Inequality
Given:
Available Size of water = 17 liters
Increment = 5 liters/minute
Size of water needed = At least 57 liters
Putting the above together, as have
17 + 5m > 57
where m represents total minutes and > represent at least
Solving the Inequality
5m > 57 - 17
5m > 40 ------ Divide through by 5
5m/5 > 40/5
m > 8
So, Yoko will need to add water for at least 8 minutes before she fills her tank to 57 liters.
Answer:
0/8
Explanation:
There is no number greater than 10 on the spinner, so there is a 0/8 chance that the spinner will land on a number greater than 10.
Answer: (-1, 3)
Steps
X value to the left means add
X value to the right means subtract
Y value down means subtract
Y value up means add
