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SOVA2 [1]
3 years ago
12

The population of a bacteria colony grows by a consistent percentage each hour and can be modeled by the function y = 500(1.16)t

. What does the value 500 represent in the function? A) The growth factor of bacteria. B) The initial number of bacteria. C) The number of time intervals. D) The number of bacteria after t years.
Mathematics
2 answers:
miv72 [106K]3 years ago
7 0

Answer:

The answer is a)The growth factor of bacteria

Step-by-step explanation:

In the exercise equation, the number 500 represents the slope, and the slope indicates the amount by which the value of the variable is increased or decreased and, when the variable t increases by one unit. In this case, 500 represents the growth factor of bacteria. This increase is presented when the value of the slope is positive and the decrease when the opposite case occurs. If the slope takes the value of zero, the line of the equation is horizontal, therefore, neither increases nor decreases.

saw5 [17]3 years ago
6 0

Answer:<u><em> D the number of bacteria after years</em></u>

Step-by-step explanation: <u><em>Just think about it like measureing time </em></u>

Your welcome bye :)

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2 years ago
Write an equation of the line that passes through the given points.<br> (-1,5) and (2, - 7)
Vanyuwa [196]

Answer:

The equation of the straight line is 4x +y = 1

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given points are (-1,5) and ( 2,-7)

Slope of the line

m =\frac{y_{2}-y_{1}  }{x_{2} -x_{1} }  =\frac{-7-5}{2-(-1)}  = \frac{-12}{3} = -4

slope of the line m = -4

<u><em>Step(ii):-</em></u>

The equation of the straight line passing through the point (-1,5) and having slope 'm' = -4

y - y_{1} = m( x-x_{1} )

y - 5 = -4 ( x-(-1))

y -5 = -4 x -4

4 x + y -5 +4=0

4x +y -1 =0

<u><em>Final answer:-</em></u>

The equation of the straight line is 4x +y = 1

<u><em>  </em></u>

6 0
3 years ago
Verify and show work<br><br> csc x - cos x • cot x = sin x
Vladimir79 [104]

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∴ sinx + cos²x/sinx = √3

∵ cos²x = 1 - sin²x

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∴ (sin²x + 1 - sin²x)/sinx = √3

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5 0
2 years ago
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mihalych1998 [28]

Answer:

A, B, D and F.

Step-by-step explanation:

Rin spends $20 every week on drum lessons.

If:

d = total amount of dollars Rin spends

w = number of weeks

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w is the independent variable while d is the dependent variable. A change in w will lead to a change in d. Therefore:

(A)The independent variable causes a change in the  dependent variable.

(B)The equation is d = 20w.

From the equation: d=20w

When w=1, d=$20

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This tallys with the values in Option  F.

Therefore:

(D)As the number of weeks increases, the total dollars  Rin spends increases.

The correct options are: A, B, D and F.

4 0
4 years ago
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