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3 years ago

Help mee please F G H OR J PLEASE and no guessing please

Mathematics

2 answers:

Kisachek [45]3 years ago

6 0

Answer:

The answer is J.

Hope this helps:)

Stells [14]3 years ago

3 0

The answer is J!! Good luck.

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Write 0.007 as a fraction. Do not try to simplify your answer. 05 금 Х 5 ?

balu736 [363]

Answer:

7/1000

Step-by-step explanation:

6 0

2 years ago

You are an administrative assistant. Your boss has

enot [183]

Option A: 156 + 179 + 25 + 25 = $385
Option B: 334 + 15 + 15 = $364

Option B is cheaper. 10% of $364 is $36.40. That is what you would save with the third option.

7 0

3 years ago

During optimal conditions, the rate of change of the population of a certain organism is proportional to the population at time

Lana71 [14]

Answer:

The population is of 500 after 10.22 hours.

Step-by-step explanation:

The rate of change of the population of a certain organism is proportional to the population at time t, in hours.

This means that the population can be modeled by the following differential equation:

$\frac{dP}{dt} = Pr$

In which r is the growth rate.

Solving by separation of variables, then integrating both sides, we have that:

$\frac{dP}{P} = r dt$

$\int \frac{dP}{P} = \int r dt$

$\ln{P} = rt + K$

Applying the exponential to both sides:

$P(t) = Ke^{rt}$

In which K is the initial population.

At time t = 0 hours, the population is 300.

This means that K = 300. So

$P(t) = 300e^{rt}$

At time t = 24 hours, the population is 1000.

This means that P(24) = 1000. We use this to find the growth rate. So

$P(t) = 300e^{rt}$

$1000 = 300e^{24r}$

$e^{24r} = \frac{1000}{300}$

$e^{24r} = \frac{10}{3}$

$\ln{e^{24r}} = \ln{\frac{10}{3}}$

$24r = \ln{\frac{10}{3}}$

$r = \frac{\ln{\frac{10}{3}}}{24}$

$r = 0.05$

$P(t) = 300e^{0.05t}$

At what time t is the population 500?

This is t for which P(t) = 500. So

$P(t) = 300e^{0.05t}$

$500 = 300e^{0.05t}$

$e^{0.05t} = \frac{500}{300}$

$e^{0.05t} = \frac{5}{3}$

$\ln{e^{0.05t}} = \ln{\frac{5}{3}}$

$0.05t = \ln{\frac{5}{3}}$

$t = \frac{\ln{\frac{5}{3}}}{0.05}$

$t = 10.22$

The population is of 500 after 10.22 hours.

7 0

2 years ago

What the equation of this graph?? I need help

yuradex [85]

X = 3

and

formula -

(y-y1)/(x-x1) = (y2-y1)/(x2-x1)

(x1,y1) = (4,1)
(x2,y2) =( 5,3)

(y-1)/(x-4) = (3-1)/(5-4)

y-1/x-4 = 2/1

y-1 = 2x - 8

y = 2x - 7

the solution will be x= 3 and y = -1

6 0

3 years ago

Use the Pythagorean identity to do the following:

nlexa [21]

Answer: 2 - 2*sin³(θ) - √1 -sin²(θ)

Step-by-step explanation: In the expression

cos(theta)*sin2(theta) − cos(theta)

sin (2θ) = 2 sin(θ)*cos(θ) ⇒ cos(θ)*2sin(θ)cos(θ) - cos(θ)

2cos²(θ)sin(θ) - cos(θ) if we use cos²(θ) = 1-sin²(θ)

2 [ (1 - sin²(θ))*sin(θ)] - cos(θ)

2 - 2sin²(θ)sin(θ) - cos(θ) ⇒ 2-2sin³(θ)-cos(θ) ; cos(θ) = √1 -sin²(θ)

2 - 2*sin³(θ) - √1 -sin²(θ)

7 0

3 years ago