Answer:
13
Step-by-step explanation:
8/2=16/4
=4
x-3=2.5*4
x=10+3
x=13
Answer:
The circumference of the circle is <u>C-72.22 </u><u>units</u>
Step by step explanation-
Given-
- Diameter of circle (d) = 23 units
- π = 3.14
Now,
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Answer:

Step-by-step explanation:
The large mixing tank initially holds 500 gallons of water in which 50 pounds of salt have been dissolved.
Volume = 500 gallons
Initial Amount of Salt, A(0)=50 pounds
Brine solution with concentration of 2 lb/gal is pumped into the tank at a rate of 3 gal/min
=(concentration of salt in inflow)(input rate of brine)

When the solution is well stirred, it is then pumped out at a slower rate of 2 gal/min.
Concentration c(t) of the salt in the tank at time t
Concentration, 
=(concentration of salt in outflow)(output rate of brine)

Now, the rate of change of the amount of salt in the tank


We solve the resulting differential equation by separation of variables.

Taking the integral of both sides

Recall that when t=0, A(t)=50 (our initial condition)

Answer:
b). Examine relationships between two categorical variables
Step-by-step explanation:
- The chi-square test of independence is used to determine if there is a significant relationship between 2 Categorical variables.
- In the data set-up for the Chi-Square Test of Independence, at minimum, your data should include two categorical variables and each categorical variable must include at least two groups.