Answer:
y=5sin(16pix)+3
Step-by-step explanation:
Amp=5 means our curve is either y=5sin(bx+c)+d or y=-5sin(bx+c)+d.
y=sin(x) has period 2pi.
So y=sin(bx) has period 2pi/b.
We want 2pi/b=1/8.
Cross multiplying gives: 16pi=b
y=5sin(16pix+c)+d
d=3 since we want midline y=3.
y=5sin(16pix+c)+3
We can choose c=0 since we aren't required to have a certain phase shift.
y=5sin(16pix)+3
 
        
             
        
        
        
Answer:
<u>There are 35 Men, 12 Children, and 18 Women</u>
Step-by-step explanation:
Men(M), Women(W) and Children(C)
We learn that: 
M = 35
W = 1.5C , and 
M+W+C = 65
----
M+W+C = 65
M+1.5C+C = 65
35+1.5C+C = 65
2.5C = 30
C = 12
If C=12 and W=1.5C, then W=18
----
<u>There are 35 Men, 12 Children, and 18 Women</u>
(35+12+18) = 65 participants
 
        
             
        
        
        
Answer:
1. one quarter and one nickel
2. two dimes and two nickels 
3. one dime, two nickels, and ten pennies
Step-by-step explanation:
(Assuming you mean U.S.A. money)
30% of a dollar equals 30 cents. Each of the above equals 30 cents.
 
        
                    
             
        
        
        
Answer:
There are 30 girls in Ella's class.
Step-by-step explanation:
Hope This Helps!
 
        
                    
             
        
        
        
Answer:
A. √500
Step-by-step explanation:
Since 500 = 5·100 = 5·10² you can move the 10² out of the √ as 10.
Hence 10√5 = √500
So we're using these rules:
√a·b = √a·√b
and of course
√a² = a  (a>0)