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posledela
2 years ago
13

The equation y =

Mathematics
1 answer:
-Dominant- [34]2 years ago
6 0

Answer:

The  constant of proportionality k = 12

Hence, option A is true.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get

y ∝ x

y = kx

Where 'k' is called the constant of proportionality.

In our case,

The given equation is

y = 12x

comparing with the equation y = kx, we can say

k = 12 which is the constant of proportionality.

Therefore, we conclude that:

The  constant of proportionality k = 12

Hence, option A is true.

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Minchanka [31]

Answer:

\frac{1}{4x}

Step-by-step explanation:

The negative exponential can be represented with the help of fractions. By this way, we also make the negative exponential disappear. For example, we can write:

a^{-1} = \frac{1}{a}

The explanation is this:

Since a^{0}=1, \frac{1}{a}=\frac{a^{0} }{a^{1} } = a^{0-1} =a^{-1}

According to this definition, we can simplify our problem in the following way:

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5 0
3 years ago
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Nookie1986 [14]
B is the answer to this question
6 0
3 years ago
The per capita growth rate of many species varies temporally for a variety of reasons, including seasonality and habitat destruc
Veronika [31]

Answer:

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Step-by-step explanation:

If n(t) represents the population size at time t, where n is measured in individuals and t is measured in years.

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\frac{dn}{n}=(e^{-t }-1)dt

Taking the integral of both sides

\int\frac{dn}{n}=\int(e^{-t }-1)dt\\\int\frac{dn}{n}= \int e^{-t }dt-\int1dt

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Taking the exponential of both sides

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n=e^{(-e^{-t }-t)}e^C\\n=Ke^{(-e^{-t }-t)} whee the exponential of a constant is a constant K.

When t=0, n(0)=n_o

n_0=Ke^{-1

Therefore:

n=n_0e^{1}e^{(-e^{-t }-t)}

n(t)=n_0e^{(1-e^{-t }-t)}

7 0
3 years ago
if 3 people can complete a job in 4 days, how many days will it take to complete the job with 5 people?
Charra [1.4K]
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7 0
2 years ago
Given a wavelength of 121,270 millimeters, what is the wavelength in kilometers?
Kipish [7]

Answer:Option A.

Step-by-step explanation:

I've attached the solution

5 0
3 years ago
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