Mathematics High School

A microbiologist is growing bacteria cultures in the lab. After 5 minutes, a bacteria colony has 1.3 million organisms. After 12 minutes, the same colony has 41.5 million organisms. After 15 minutes, the colony has grown to 101.3 million organisms. Is this a proportional or non-proportional relationship?

Answers

Answer 1

Answer: Non proportional

Step-by-step explanation:

To know if the values given are proportional or not, we will use the formula:

y = kx

where

y = number of organisms

x = number of minutes

k = constant of proportionality

After 5 minutes, a bacteria colony has 1.3 million organisms. Using the formula, y = kx

1,300,000 = 5k

k = 1,300,000 / 5

k = 260,000

After 12 minutes, the same colony has 41.5 million organisms. Using y= kx

41,500,000 = 12x

x = 41500000 / 12

x = 3458333.8

After 15 minutes, the colony has grown to 101.3 million organisms.

y = kx

101,300,000 = 15k

k = 101,300,000 / 15

k = 6753333.8

It is a non-proportional relationship as the constant of proportionality is different for each.

Related Questions

Name a point on this line.
y - 8 = -7(x + 1)

(-1,8)
(1, -8)
(8,-1)
(-8,1)

Answers

Answer:

Step-by-step explanation:

You should approach this problem by plugging the answer choices into the equation, since there are only four that you need to do. A works because 8-8 = -7(-1+1) which are both equal to 0

The clock below shows what time mason mom drops him off for practice . what time did mason mom drop him off

Answers

Answer:

where is the clock?

Step-by-step explanation:

BRAINLY FOR CORRECT ANSWER

m∠1=?
m∠2=?
m∠3=?
m∠4=?
m∠5=?
m∠6=?

Answers

1 = 60
2 = 120
3 = 60
4 = 120
5 = 30
6 = 30

Determine the constant

Answers

Answer:

Something that occurs continuously, or something that doesn't change!

Step-by-step explanation:

Solve by combining:

-x-y=6
5x-7y=66

Answers

Answer:

x = 2

y = 8

Step-by-step explanation:

-x - y = 6

5x - 7y = 66

-x - y = 6

x = -y - 6

5x - 7y = 66

5 ( -y - 6 ) - 7y = 66

-12y - 30 = 66

-12y = 96

y = -8

x = -y - 6

x = 8 - 6

x = 2

Find an equivalent ratio in simplest terms: 30:18

Answers

Answer:

5:3

Step-by-step explanation:

To simplify the ratio, we have to divide both terms by the greatest common factor (GCF). The GCF is the highest number that can divide evenly into two or more numbers. The GCF of 30 and 18 is 6.

30/6 = 5

18/6 = 3

30:18 = 5:3

5:3 LOL because it’s in simplest form

2x1+(1+7)+(7x2) write this expression as the product of two products

Answers

2x1+(1+7)+(7x2)➡️ 3+(8)+(14)➡️25

50 Points if wrong u will get reported

Answers

Based on the fact that Mario increases by a scale factor of 2, the three points on the new Mario:

(7, 0)(0, 10.4)(4, 17.4)

What are the new points?

If Mario is increased by a scale factor of 2, then it means that all the points would be expanded by multiplying them by 2.

The first point would therefore be:

= 3.5 x 2 = 7

= 0 x 2 = 0

(7, 0)

The second point:
= 0 x 2 = 0

= 5.2 x 2 = 10.4

(0, 10.4)

The third point:
= 2 x 2 = 4

= 8.7 x 2 = 17.4

(4, 17.4)

The points on New Mario are:

(7, 0), (0, 10.4), and (4, 17.4)

Find out more on scale factor increase at https://brainly.com/question/18682227

#SPJ1

Use synthetic division to evaluate f(x)=x^3-2x^2+4x+3 for x=2 . f(2)=
Need help asap

Answers

Step-by-step explanation:

Your problem is equivalent to

(x3 - 3x2 + x - 4)/(x-2)

The coefficients of the numerator are 1, -3, 1, -4.

The solution is as follows:

2 | 1 -3 1 -4 Set up the coefficients in decreasing power of x, and 2 is the divisor.

2 -2 -2

------------------

1 -1 -1 -6

Here are the steps:

(a) Bring down the leading coefficient of 1.

(b) 2*1=2. Add -3 and 2 to obtain -1.

(d) -1*2=-2. Add -2 and -4 to obtain -6

The quotient has the coefficients 1,-1,-1 so it is x2 - x - 1. The remainder is -6.

Answer :

The result is x2 - x - 1 - 6/(x-2).

You can verify that the answer is correct, because

(x-2)*(x2 - x - 1) - 6 = x3 - 3x2 + x - 4

Hope this helps you

Pls, Help Math!!!!!!

Answers

Question 1 is yes question 2 is x-3

I’ll mark u as brainlist (all that apply)

Answers

Answer:

use some brain cells

Step-by-step explanation:

Evaluate The Following Expression

−7 × 7 + 9 × −1 /−1

Answers

Answer:

-50+9x

Step-by-step explanation:

multiply the numbers -49+9x -1

calculate the difference(-49-1 -50 + 9x

Original Shirts Cost: $55
Current Shirts Cost: $40
Find The Percent Of Decrease
?%
Round To Nearest Whole %
I really need to know??

Answers

Answer: 27% decrease

Step-by-step explanation:

(HELP!! WILL GIVE 86 POINTS!!)

Use the elimination method to solvethe system of equations. Choose the
correct ordered pair.
-x+y= -2
2x- 3y = 4

Answers

Answer: 2(−x+y=−2)

2(−x+y=−2)

1(2x−3y=4)

Becomes:

−2x+2y=−4

2x−3y=4

Add these equations to eliminate x:

−y=0

Then solve−y=0for y:

−y=0

−y/-1 = 0/-1 (Divide both sides by -1)

y=0

Step-by-step explanation:

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

−x+y=−2

Substitute 0 for y in −x+y=−2:

−x+0=−2

−x=−2(Simplify both sides of the equation)

−x/-1 = -2/-2 (Divide both sides by -1)

x=2

Answer:

x=2 and y=0

Answer: x=y+2

Step-by-step explanation:

Step 1: Add -y to both sides.

−x+y+−y=−2+−y

−x=−y−2

Step 2: Divide both sides by -1.

-x/-1 = -y - 2/-1

asnwer: x=y+2

Answer: x = 3/2y + 2

2x−3y=4

Step 1: Add 3y to both sides.

2x−3y+3y=4+3y

2x=3y+4

Step 2: Divide both sides by 2.

2x/2 = 3y + 4/2

answer: x = 3/2y + 2

Given the point (2.6) is ok the graph of Y=f(x)
what are the coordinates of the point of the transformed graph: y=-2f(-(x+4))+3?

Answers

y = -2fx (-x + 4) +3

y = 2fx -8f + 3

y = 2fx - 8f + 3

Solve for r.

23 = r + 11

r=

Please help me and tell me quickly and explain how you solve for r PLEASE

Answers

subtract 11 from both sides
r=12

Answer:

r = 12

Step-by-step explanation:

23 = r + 11

23 - 11 = r

r = 12

What is the equation of the line that passes through the point (-6, -2) and has a
slope of 1/6

Answers

Answer:

y=1/6x-1

Step-by-step explanation:

Recall that the equation of a line is y = mx + b.

m is the slopeb is the y-intercept

We know the line passes through (-6, -2), so we substitute x and y in the equation of a line. We also know the variable m (the slope) is 1/6. It would look something like this: -2=(1/6)(-6) + b.

From here, we can solve for b:

b + (1/6)(-6) = -2

b - 1 = -2

b = -1

The equation of the line that passes through the point (-6,-2) with a slope of 1/6 is y=1/6x-1.

This is my first solution, let me know if I can improve on anything. Thanks, have a great day!

Describe the transformation in each function as it relates to the graph of the parent function.
g(x) = (x – 2) – 8

and please even you think its embarssing just awnser

Answers

I’m only in 6th grade and all I can tell you is that X = 10, hope this helps! ;)

Zane puts $1,000.00 into an account to use for school expenses. The account earns 11% interest, compounded annually. How much will be in the account after 4 years? Use the formula A= P (1+/), where A is the balance(final amount), P is the principal(starting amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years. Round your answer to the nearest cent.

Answers

Answer:

$1518.07

Step-by-step explanation:

A = 1000(1 + 0.11)^4

You might need: Calculator
Find the area of a circle with a diameter of 4.
Either enter an exact answer in terms of r or use 3.14 for it and enter your answer as a decimal.
answerin
units2

Stuck? Watch a video or use a hint.
Report a

Answers

A=3.14(2^2)
A=12.56 m^2

What is the slope of a line parallel to the line whose equation is 6x + 3y = -54

Answers

The slope of the line parallel to the line is -2

What are linear equations?

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

How to determine the slope of the line parallel to the line?

The line equation is given as

6x + 3y = -54

Subtract 6x from both sides

3y = -6x - 54

Divide through the equation by 3

So, we have

y = -2x - 17

A linear equation is represented as

y = mx + c

Where m represents the slope

This means that

m = -2

Parallel lines have the same slope

This means that the slope of the line parallel to the line is -2

Answers

Answer:

1st option...............

Select the function that represents the simple interest formula.

Answers

Answer:

Step-by-step explanation:

A P E X

Xina has $289 and spends $55 at the grocery
store, and $32 on gas. How much does she
have left?

Answers

200 dollars like the answer please

How do I do this? Please help

Answers

Answer:

Step-by-step explanation:

SEE ATTACHMENT

Create a table of values, and plot them.

graph the points of the equations onto the graph

All real numbers that are greater than or equal to -4 and less than 2.

Answers

DHJBDVSFIUGWEIUWEIURG F4GIUFGICUSIVGERG834Y83REDSNCJHHBBHN

Lauren, Shannon, and Maddie all work at a restaurant. Lauren earned $11.00 less than 3 times the amount Maddie earned. ShWhich equation below correctly represents the situation above?annon earned $9.00 more than 2 times the amount Maddie earned. If Lauren and Shannon both earned the same amount of money, how much money, m, did Maddie earn?

Answers

Music us enter a memento ---L'ordinateur

For every 3 girls in Mr Hegarty's class there are 5 boys. What is the ratio of boys to girls in the class?
Give your answer in its simplest form. HELP

Answers

Answer:
5:3

Explanation:
The question that tells us that for every 3 girls in Mr. Hegarty’s class, there are 5 boys. This means for every 5 boys, there are 3 girls. Therefore, the ratio of boys to girls in the class is 5:3.

I hope this helps!

7 + a/3 = 5
HELP ASAPPP :)

Answers

A = -6 , that is the answer

pls help its timed!!

Answers

I believe it’s A
Writing random things so it lets me send this

Other Questions

When an ecosystem contains many different species, there are usually a high number of links in its food web. How does this affect the sustainability of the ecosystem?. I need help asap (Fractions) read the passage from the houston chronicle about air quality in houston in 2019."im surprised and disturbed that houstons air quality worsened in this years [american lung association state of the air] report," said luke metzger, director of environment texas. "the trend since 1999 had been one of steady progress and instead now it seems we are backtracking and thats bad news particularly for the hundreds of thousands of people who have asthma or other vulnerable populations like senior citizens. . . ."current models estimate that more than 60 percent of ozone pollution is from cars, according to raun, and to address that, the city is trying to encourage practices such as the use of mass transit and transitioning to fuel-efficient or low-emission vehicles.how is houston trying to combat increasing ozone pollution? The probability of passing the math class of Professor Goodrum is 59%, the probability of passing Professor Cruise's physicsclass is 26%, and the probability of passing both is 17%. What is the probability of passing one or the other?(Give your answer as a whole percent number.)probability of passing one or the other: ninian smarts and catherine albaneses are examples of a approach to the definition of religion. perennialistfive pillars""four cs""functionalistfamily resemblancefour noble truthsseven dimensions of religions 9. Mr. Crowley bought lunch for himself and eight of his employees.Each had a sandwich platter that costs $5.85 and a drink thatcosts $1.25. Five of the employees had dessert that costs $1.50.Mr. Crowley gave the delivery person $80 and told her to keepthe change as a tip. How much was the delivery person's tip? What are the key features of the quadratic function f(x) = 2(x - 3)2 + 4 HURRY IM TIMED Which benchmark fraction is closest to 9/10-3/10 A. 3/4 B. 1/2 C. 1/4 D. 4/4 Which statement best explains a theme in thispassage? In lines 1823 of the second paragraph, the writer quotes Arbour ("What are you . . . of their pores") primarily toillustrate the frequency of discriminatory language in todays societyintroduce the hurtful rhetoric the writer has encountered throughout her lifeemphasize the fact that derogatory remarks are a traditional comedic componentidentify the underlying reasons for Arbours aggressive actions and beliefsdemonstrate Arbours antiquated rhetoric regarding people who are overweight An intermediate step in the industrial production of nitric acid involves the reaction of ammonia with oxygen gas to form nitrogen monoxide and water. How many grams of nitrogen monoxide can form by the reaction of 507 g of ammonia and 845 g of oxygen? g nitrogen monoxide During a science experiment Mary found the mass of two rocks to be 36.81 grams and 52.4 grams what is the total mass of these two rocks What chemical found in plant cells is able to use the energy in sunlight to make food?a. cytoplasmb. chlorophyllc. lactic acidd. sulfuric acid Freedom of ensures that entrepreneurs and private businesses are free to obtain and use economic resources to produce their choice of goods and services. there is some concern that increased use of could prompt the need for legislation protecting employee privacy rights. A company makes a profit of $55 per software program and $45 per video game. The company can produce at most 225 software programs and at most 275 video games per week. Total production cannot exceed 450 items per week. How many items of each kind should be produced per week in order to maximize the profit?Use linear programming to solve. Show all your work. What elements are represented by the chemical NaHCO2 formula?A. nitrogen, helium, carbon, oxygenB. nitrogen, helium, cobaltC. sodium, hydrogen, cobaltD. sodium, hydrogen, carbon, oxygen Why do you want to be first aider? how can you make the equation true?111+222= how do you describe eleanor in "eleanor and park" ?