Answer: gymnastics   35
                music       21
                swimming      36
Step-by-step explanation:
gymnastics   35=20+9+6
music   21=8+7+6
swimming   36=20+9+7
 
        
             
        
        
        
Answer:
 {x = -3
, y=2  (Isolved for both variables be elimination)
Step-by-step explanation:
Solve the following system:
{3 x + 5 y = 1 | (equation 1)
7 x + 4 y = -13 | (equation 2)
Swap equation 1 with equation 2:
{7 x + 4 y = -13 | (equation 1)
3 x + 5 y = 1 | (equation 2)
Subtract 3/7 × (equation 1) from equation 2:
{7 x + 4 y = -13 | (equation 1)
0 x+(23 y)/7 = 46/7 | (equation 2)
Multiply equation 2 by 7/23:
{7 x + 4 y = -13 | (equation 1)
0 x+y = 2 | (equation 2)
Subtract 4 × (equation 2) from equation 1:
{7 x+0 y = -21 | (equation 1)
0 x+y = 2 | (equation 2)
Divide equation 1 by 7:
{x+0 y = -3 | (equation 1)
0 x+y = 2 | (equation 2)
Collect results:
Answer:  {x = -3
, y=2
 
        
                    
             
        
        
        
Answer:
Exact Form:
√
30
Decimal Form:
5.47722557
…
Step-by-step explanation: i would go with D
 
        
             
        
        
        
For (11, 1): (11 + 3)1 = 14(1) = 14
For (5, 2): (5 + 3)2 = 8(2) = 16 ≠ 14
For (7, 2): (7 + 3)2 = 10(2) = 20 ≠ 14
For (3, 2): (3 + 3)2 = 6(2) = 12 ≠ 14
Therefore, (11, 1) is a solution to this equation.
        
             
        
        
        
Answer:
The beam initial temperature is 5 °F.
Step-by-step explanation:
If T(t) is the temperature of the beam after t minutes, then we know, by Newton’s Law of Cooling, that

where  is the ambient temperature,
 is the ambient temperature,  is the initial temperature,
 is the initial temperature,  is the time and
 is the time and  is a constant yet to be determined.
 is a constant yet to be determined.
The goal is to determine the initial temperature of the beam, which is to say 
We know that the ambient temperature is  , so
, so

We also know that when  the temperature is
 the temperature is  and when
 and when  the temperature is
 the temperature is  which gives:
 which gives:


Rearranging,


If we divide these two equations we get


Now, that we know the value of  we can use it to find the initial temperature of the beam,
 we can use it to find the initial temperature of the beam,

so the beam started out at 5 °F.