There are 2,100 bacteria in a circular petri dish. The dish has a radius of 40 millimeters. What is the approximate population density? Area of a circle =3.14r2

Answers

Answer 1

Answer:

Answer: 0.42 bacteria/mm^2

Step-by-step explanation: Population density is population / area. First we solve for the area of the circle. A = pi•r^2. r = 40 mm. pi • 1600 = 5024mm^2. Divide the 2100 bacteria by 5024 and you get population density. 2,100/5024 = 0.42 (rounded to two decimal places)

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The ratio of SAMs age to hank is 5 to 3. If the sum of their age is 24. How old is is hank?

Answers

lets consider SAM's age is 'x' and Hank's age is 'y'
So as per given data Sam's age is 5/3 times of Hank's age
so x = 5/3 * y
3x = 5y --> equation 1
and also sum of their ages is 24
so, x + y = 24
we need to find Hank's age (y)
so x = 24 - y
Now replace x value in equation 1
3(24-y) = 5y
72-3y = 5y
72 = 3y+5y
8y= 72
y= 72/8
y = 9 years.

So the Hank's age is 9 years

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What is the maximum number of turning points the function f(x)=7x^5+6x^3-4x^2+1 , can have

Answers

The maximum number of turning points of the polynomial is the degree of the polynomial minus 1. In this case the degree is 5, so the maximum number of turning points is 5-1=4.

How many decigrams are in 14 hectograms

Answers

Answer: 14000 decigrams

Step-by-step explanation:

Answer:

14000 decigrams

Step-by-step explanation:

Maria is comparing the prices of two window cleaning companies. Company A charges $6 per window and an additional $12 as service charges. Company B charges $5 per window and an additional $15 as service charges. Part A: write equations to represent Company A's and Company B's total charges for cleaning number windows. Define the variable used in the equations.

Part B: which company would charge less for cleaning 8 windows? Justify your answer.

Part C: How much money is saved by using the services of Company B instead of Company A to clean 6 windows?

Answers

Part A
Company A: c=6w+12
Company B: c=5w+15
c=cost w=# of windows
Part B
Company A: c=6(8)+12 c=$60
Company B: c=5(8)+15
c=$55
So Company B is the cheaper option by 5 dollars.

Part A:
y is how much they charge in total
x is the amount of windows
Company A is (6*x)+ 12= y
Company B is (5*x)+15=y

Luke has a situation on his hands. A pipe in his house froze and cracked from cold weather. Now he has a water leak. The leak has been releasing 2/3 of a liter of water every 2 hours. If w represents the amount of water lost and h represents the number of hours, which equation represents this proportional relationship?

Answers

The proportional relationship is W = 1/3 h if the leak has been releasing 2/3 of a liter of water every 2 hours option (B) is correct.

What is a proportional relationship?

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

It is given that:

Luke has a situation on his hands. A pipe in his house froze and cracked from cold weather.

The leak has been releasing 2/3 of a liter of water every 2 hours.

Here w represents the amount of water lost and h represents the number of hours

Based on the data given:

We can formulate the number expression:

5/7 - 2/3

= 1/21

The proportional relationship is:

W = 1/3 h

Thus, the proportional relationship is W = 1/3 h if the leak has been releasing 2/3 of a liter of water every 2 hours option (B) is correct.

Learn more about the proportional here:

brainly.com/question/14263719

#SPJ2

Answer:

w= 1/3h

Step-by-step explanation: im late

What is an equation of the line that passes through the point (-4,8) and is parallel to the line x+y=6?