Which operation would you do second in the following problem?

Mathematics

2 answers:

eimsori [14]3 years ago

7 0

it's addition i looked it up

Advocard [28]3 years ago

4 0

Subtraction because you need to get rid of the parentheses first then add. Because first is parenthesis/division in the order of operations.

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The weight of a population of yeast is given by a differentiable function y, where y(t) is measured in grams and t is measured i

Deffense [45]

Answer:

b) $y = 120e^{t/5}$

Step-by-step explanation:

given that the weight of a population of yeast is given by a differentiable function y, where y(t) is measured in grams and t is measured in days. The weight of the yeast population increases according to the equation

$\frac{dy}{dt} =ky$ for a constant k.

Separate the variables and integrate

$ln y=k t +C\\y = Ae^{kt}$

Use the fact when t=0 y = 120

$120 = A$

$y = 120e^{kt}$

When t =1, rate of grwoth is 24 gms.

i.e. $144 = 120e^{k*1}\\k = ln 144/120 = 0.1823~0.2$

Hence option b i.e.

$y = 120e^{t/5}$

6 0

3 years ago

The values that are solutions of x2 + 20 =12x

vodomira [7]

Is the first value x^2?

5 0

3 years ago

Write the equation of a line that is perpendicular to y = 7/5 x + 6 y= 5/7and that passes through the point ( 2 , − 6 )

Margarita [4]

<u>Answer</u>:

Equation of a line perpendicular to $y = \frac{7}{5x} + 6$ and passes through the point ( 2 , − 6 ) is 5x – 7y = 4.

<u>Explanation</u>:

Need to write equation of line perpendicular to y = 7/5x + 6 and passes through the point ( 2 , − 6 )

Generic slope intercept form of a line is given by y = mx + c , where m = slope of the line.

On comparing the given slope intercept form of given equation with generic slope intercept form y = mx + c , we can say that for line $y = \frac{7}{5}x + 6$ , slope m = 7/5