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3 years ago

Resolve a equation -3/8n= -0.6

Mathematics

1 answer:

sashaice [31]3 years ago

3 0

N = 1.6

Step 1: Multiply both sides by 8/(-3)(8/3)*(-3/8n)=(8/3)*−0.6)n=1.6
Answer: n= 1.6

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number of bacteria in a certain population Increases according to a continuous exponential growth model with How many hours does

vladimir1956 [14]

Answer:

It takes 1.77 hours for the population to double.

Step-by-step explanation:

Equation for population growth:

The equation for population growth, after t hours, with a growth rate parameter of r, as a decimal, is given by:

$P(t) = P(0)(1+r)^t$

Growth rato parameter of 48% per hour

This means that $r = 0.48$ . So

$P(t) = P(0)(1+r)^t$

$P(t) = P(0)(1+0.48)^t$

$P(t) = P(0)(1.48)^t$

How many hours does it take the size of the sample to double?

This is t for which P(t) = 2P(0). So

$P(t) = P(0)(1.48)^t$

$2P(0) = P(0)(1.48)^t$

$(1.48)^t = 2$

$\log{(1.48)^t} = \log{2}$

$t\log{1.48} = \log{2}$

$t = \frac{\log{2}}{\log{1.48}}$

$t = 1.77$

It takes 1.77 hours for the population to double.

3 0

3 years ago

What are the slope and the y-intercept of the linear function that is represented by the table?

Hunter-Best [27]

Answer:

Slope is -2/5 and y-intercept is -1/3

Step-by-step explanation:

To get the slope, we pick any two points and apply the slope formula

The slope formula is;

m = (y2-y1)/(x2-x1)

To get the slope, we select any two points

That will be;

(-3/4, -1/30) and (1/4,-13/30)

Substituting these in the slope formula, we have:

m = (-13/30 + 1/30)/(1/4 + 3/4)

m = 12/30 = -2/5

Generally, the equation of a straight line is;

y = mx + b

m is slope and b is the y-intercept

We already have the slope, to get the y-intercept, we select any of the points

-3/5 = -2/5(2/3) + b

= -3/5 + 4/15 = b

b = (-9 + 4)/15 = -5/15 = -1/3

Slope is -2/5 and y-intercept is -1/3

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3 years ago

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Rashid [163]

13ab^3(1+3ab) -ANSWER

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3 years ago

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Nezavi [6.7K]

Answer:

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Step-by-step explanation:

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Answer:

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