A scientist begins an experiment with a culture of 5 bacteria cells. Every hour, the number of bacteria cells triples. Which equation can be used to represent the number of bacteria cells, y, as it relates to time in hours, x?

Answers

Answer 1
Answer:

Answer:

y = 5 * (3^x)

Step-by-step explanation:A scientist begins an experiment with a culture of 5 bacteria cells.

Every hour, the number of bacteria cells triples.

Which equation can be used to represent the number of bacteria cells, y, as it relates to time in hours, x?

:

I think it would be y = 5 * (3^x)

Answer 2
Answer:

Answer:

y=5(3)^x

Step-by-step explanation: i just got it right on my test


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7) What is a check? What is a money order? 8) When someone writes a check, where is the money coming from?
9) When someone pays with a money order, where is the money coming from?
10) Do you think it is more secure to have someone pay you with a check or a money order? Explain.
12) Amy owns her own business as a landscaper of homes and office buildings. On average, maintaining a homeowner's yard takes 2 hours per month, and Amy is paid $300 per month. The office building require 35 hours of landscaping per month and pay $2,800 monthly. Which type of client do you think Amy prefers? Explain your answer.

Answers

7) Check - a piece of paper that has a certain amount of money deposited or withdrawn from a bank and deposited to a certain person or owner.Money Order - a receipt that shows that the owner (payee) receives and certain amount of money and is therefore payed that amount.8) When someon writes a check, the money usually comes from their bank account.9) When someone pays with a money order, the money usually comes from from a financial bureau.10) A check is better because, checks can be deposited and withdrawn, but money orders are usually money, so there is no proof. Maybe someone might not pay money.12) Find the unit rate -Lawn moving = 300/2 = $150 per hourLandscaping = 2800/35 = $80 per hourLawn moving is the better job, because Amy gets payed more.

What is the relationship among proportional relationships lines, rates of change, and slope?

Answers

First of all, let's define some concepts. In mathematics, proportional relationships happen when two values always change by the same multiple. That is, when one doubles, the other doubles as well. So, you can always reduce a proportional relationship to the same equation as follows:

y=kx \n where \ k \ is \ the \ proportionality \ constant

This constant is also the slope of the straight line.

On the other hand, the average rate of change between any two points (x_(1),f(x_(1)) \ and \ (x_(2),f(x_(2)) is the slope of the line through the two points. The line through the two points is called the secant line and its slope is denoted as m_(sec), so:

ARC=(f(x_(2))-f(x_(1)))/(x_(2)-x_(1)) \n \n \therefore ARC=(Change \ in \ y)/(Change \ in \ x)=m_(sec)

Finally, The slope of a nonvertical line is the number of units the line rises (or falls)vertically for each unit of horizontal change from left to right, so:

Slope=(change \ in \ y)/(change \ in \ x)=(rise)/(run)

So, we can say that the relationship of these three concepts is that they all talk about the slope of a curve.


It introduces the relationship between two variables and is called correlation. Proportionality or variation is state of relationship or correlation between two variables It has two types: 
direct variation or proportion which states both variables are positively correlation. It is when both the variables increase or decrease together. On the contrary, indirect variation or proportion indicates negative relationship or correlation. Elaborately, the opposite of what happens to direct variation. One increases with the other variables, you got it, decreases. This correlations are important to consider because you can determine and identify how two variables relates with one another. Notice x = y (direct), y=1/x (indirect)

How many straight lines are needed to divide a regular hexagon into 6 identical triangles

Answers

you would need 6 straight lines, doing a drawing is essential for this excersise

Solve: 4y - 6 = 2y + 8

Answers

Answer:

y = 7

Step-by-step explanation:

Given

4y - 6 = 2y + 8 ( subtract 2y from both sides )

2y - 6 = 8 ( add 6 to both sides )

2y = 14 ( divide both sides by 2 )

y = 7

Type the least common multiple of 4 and 6.

Answers

The least common multiple of 4 and 6 is 12.

A rectangular garden has a perimeter of 578 yds.The length is one more than three times the width.
Find the dimensions of the garden.

Answers

Answer:

Width (w) = 72 yds

Length (L) = 217 yds

Step-by-step explanation:

Let L represent the length.

Let w represent the width.

From the question given above:

Perimeter (P) = 578 yds.

Length (L) is one more than three times the width (w). This can be written as. Follow:

three times the width (w) = 3w

Therefore, the length (L) is given by:

L = 1 + 3w

Next, we shall determine the value of length (L) and width (w). This can be obtained as follow:

Recall:

Perimeter of rectangle is given by:

P = 2(L + w)

P = 2L + 2w

Perimeter (P) = 578 yds.

Length (L) = 1 + 3w

Width (w) = w

P = 2L + 2w

578 = 2(1 + 3w) + 2w

Clear bracket

578 = 2 + 6w + 2w

578 = 2 + 8w

Collect like terms

578 - 2 = 8w

576 = 8w

Divide both side by 8

w = 576/8

w = 72

Therefore, the width is 72 yds

L = 1 + 3w

w = 72

L = 1 + 3(72)

L = 1 + 216

L = 217

Therefore, the length is 217 yds.

The dimensions of the garden is given below:

Width (w) = 72 yds.

Length (L) = 217 yds.