Answer:
1725
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
dy/dt = - (1/5) ft/s = - 0.2 ft/s
Step-by-step explanation:
Given
L = 5 ft
Qin = 25 ft³/s
Qout = 30 ft³/s
h = 10 ft
dy/dt = ?
We can apply the relation
ΔQ = Qint - Qout = 25 ft³/s - 30 ft³/s
⇒ ΔQ = - 5 ft³/s
Then we use the formula
Q = v*A
where Q = ΔQ, A = L²  is the area of square base and v = dy/dt  is the rate of change in the depth of the solution in the tank
⇒ ΔQ = (dy/dt)*L²
⇒ dy/dt = ΔQ/L²
⇒ dy/dt = (- 5 ft³/s)/(5 ft)²
⇒ dy/dt = - (1/5) ft/s = - 0.2 ft/s
 
        
             
        
        
        
Answer:
Step-by-step explanation:
We observe that the difference of terms is 4, 7 and 15 and next level difference is 4. It means the sequence is quadratic. 
<u>We can compare this with simple quadratic sequence </u>
<u>and find out that doubling each term gives us </u>
This is close to our sequence, write the terms as follows to find exact rule
<u>The first term: </u>
- a₁ = 4  = 2*1² + 2 = 2*1² + 1 + 1
<u>The second term</u>
- a₂ = 11  = 2*2² + 3 = 2*2² + 2 + 1
<u>The third term:</u>
- a₃ = 22 = 2*3² + 4 = 2*3² + 3 + 1
<u>The fourth term:</u>
- a₄ = 37 = 2*4² + 5 = 2*4² + 4 + 1
<u>The nth term as per observation above is:</u>
 
        
             
        
        
        
Answer: 70x^2 -50x 
Step-by-step explanation:
^ means exponent 
 
        
                    
             
        
        
        
First you must multiply the number by the percent. (19*27= 513) 
Then you divide the answer by 100, or move decimal two places to the left. (513/100= 5.13)
Then round to the nearest whole number (5.13 is approximately 5) 
Therefore 19%of 27 = 5
:)