MATHEMATICS COLLEGE

Circletowns limits forms perfect circular shape it has a population of 20,000 and a population density of 480 people per square kilometers

Answers

Answer 1
Answer:

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

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red and blue ceramic tiles are laid according to a pattern such that every 21 red tiles used, 4 blue tiles are used. if a total of 425 tiles are used, how many of them are blue? setup a proportion for this scenario( use x for your unknown number of blue tiles).
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14. Taxi company A charges $2 per ride plus $0.25 per mile. Taxi company B charges $3 per ride plus $0.15 per mile. Which equation could be used to find the number of miles for which both companies cost the same for one ride? O A.2.25m = 3.15m B. 2 + 0.15m = 3 + 0.25m C.2m +0.25 = 3m +0.15 D.2 + 0.25m = 3 + 0.15m​

1Linda purchased 12 pounds of potatoes on Friday and
25 pounds of potatoes on Saturday. What was the total
weight, in pounds, of potatoes purchased by Linda in the
two-day period?

A. 3
6
B. 3
1
C. 3
D. 3
*3
O O CONCO
5
E 3
6

Answers

Answer:b

Step-by-step explanation:

HELP ME OUT PLEASE

Write the fractions in order from least to greatest.​

Answers

Answer:

D.

Step-by-step explanation:

Because in negative numbers greater is actually less

Answer:

change into improper fraction , find the common multiple and choose from the biggest because it is a negative fraction

24-24:3+1
Plz help me

Answers

Answer:

its most likey 4 the answer is 4

A decision maker is considering including two additional variables into a regression model that has as the dependent variable, Total Sales. The first additional variable is the region of the country (North, South, East, or West) in which the company is located. The second variable is the type of business (Manufacturing, Financial, Information Services, or Other). Given this, how many additional variables will be incorporated into the model?a. 9
b. 8
c. 6
d. 2

Answers

Answer: Option d.

Step-by-step explanation:

The aditional variables are:

Region of the country. (where the options are Noth, Sout, East or West)

Type of business (where the options are Manufacturing, Financial, Information Services, or Other)

Then we are only adding 2 aditional variables to the model, the correct option is d.

Which is the positive slope m, where m<1

Answers

Answer:

Line D

Step-by-step explanation:

Slope of a line passing through (x_1,y_1) and (x_2,y_2) is given by,

m = (y_2,y_1)/(x_2-x_1)

Slope of line A passing through (-6, 3) and (0, 0)

m = (3-0)/(-6-0)=-(1)/(2)

Negative and m < 1

Slope of line B passing through (-2, 4) and (0, 0)

m = (4-0)/(-2-0)=-2

Negative and m < 1

Slope of line C passing through origin and (2, 5),

m = (5-0)/(2-0) = 2.5

Positive and m > 1

Slope of line D passing through origin and (3, 2)

m = (2-0)/(3-0)=(2)/(3)

Positive but m < 1

Therefore, Line D will be the answer.

A swimming pool whose volume is 10 comma 000 gal contains water that is 0.03​% chlorine. Starting at tequals​0, city water containing 0.001​% chlorine is pumped into the pool at a rate of 6 ​gal/min. The pool water flows out at the same rate. What is the percentage of chlorine in the pool after 1 hour​? When will the pool water be 0.002​% ​chlorine?

Answers

Answer:

C(60) = 2.7*10⁻⁴

t = 1870.72 s

Step-by-step explanation:

Let x(t) be the amount of chlorine in the pool at time t. Then the concentration of chlorine is  

C(t) = 3*10⁻⁴*x(t).

The input rate is 6*(0.001/100) = 6*10⁻⁵.

The output rate is 6*C(t) = 6*(3*10⁻⁴*x(t)) = 18*10⁻⁴*x(t)

The initial condition is x(0) = C(0)*10⁴/3 = (0.03/100)*10⁴/3 = 1.

The problem is to find C(60) in percents and to find t such that 3*10⁻⁴*x(t) = 0.002/100.  

Remember, 1 h = 60 minutes. The initial value problem is  

dx/dt= 6*10⁻⁵ - 18*10⁻⁴x =  - 6* 10⁻⁴*(3x - 10⁻¹)               x(0) = 1.

The equation is separable. It can be rewritten as dx/(3x - 10⁻¹) = -6*10⁻⁴dt.

The integration of both sides gives us  

Ln |3x - 0.1| / 3 = -6*10⁻⁴*t + C    or    |3x - 0.1| = e∧(3C)*e∧(-18*10⁻⁴t).  

Therefore, 3x - 0.1 = C₁*e∧(-18*10⁻⁴t).

Plug in the initial condition t = 0, x = 1 to obtain C₁ = 2.9.

Thus the solution to the IVP is

x(t) = (1/3)(2.9*e∧(-18*10⁻⁴t)+0.1)

then  

C(t) = 3*10⁻⁴*(1/3)(2.9*e∧(-18*10⁻⁴t)+0.1) = 10⁻⁴*(2.9*e∧(-18*10⁻⁴t)+0.1)

If  t = 60

We have

C(60) = 10⁻⁴*(2.9*e∧(-18*10⁻⁴*60)+0.1) = 2.7*10⁻⁴

Now, we obtain t such that 3*10⁻⁴*x(t) = 2*10⁻⁵

3*10⁻⁴*(1/3)(2.9*e∧(-18*10⁻⁴t)+0.1) = 2*10⁻⁵

t = 1870.72 s
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