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:
y=5(3)^x
Step-by-step explanation: i just got it right on my test
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.
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:
This constant is also the slope of the straight line.
On the other hand, the average rate of change between any two points 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 , so:
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:
So, we can say that the relationship of these three concepts is that they all talk about the slope of a curve.
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
Find the dimensions of the garden.
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.