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3 years ago

HELPPP PLEASEEEEE, BRIANLEST WILL BE GIVEN ON CORRECT!

Mathematics

1 answer:

Firdavs [7]3 years ago

8 0

I THINK it’s 6/5 or 11/7

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Amber started solving the equation −2x=10−3(2x+6) -2x=10-32x+6 . Which is a correct next step?

Anvisha [2.4K]

Answer:

Step-by-step explanation:

-2x=10-3(2x+6) next step is to distribute -3 in the parenthesis,

-2x=10-6x-18

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3 years ago

A small town has 2000 inhabitants. At 8 AM, 160 people have heard a rumor. By noon half the town has heard it. At what time will

QveST [7]

Answer:

3:36 PM

Step-by-step explanation:

Let fraction (y) of the people that heard the rumor , the differential equation that is satisfied by the by y is,

$\frac{dy}{dt} = ky(1-y)$

Solving the differential equation,

$y(t) = \frac{y_{o}}{[y_{o} + (1 + y_{o})e^{-kt}]}$

The total number of inhabitants of the town = 2000

The number of people that heard the rumor = 160

At 8 AM, let t = 0,

$y(0) = \frac{160}{2000}$

= 0.08

By noon, half of the town as heard the rumor.

Then,

$y(4) = \frac{1}{2}$

Therefore,

$\frac{1}{2} = \frac{0.08}{[0.08 + (1 - 0.08)e^{-4k}]}$

$\frac{0.08}{[0.08 + 0.92e^{-4k}]} = \frac{1}{2}$

$0.08 + 0.92e^{-4k} = 0.16$

$0.92e^{-4k} = 0.16 - 0.08$

$0.92e^{-4k} = 0.08$

$e^{-4k} = \frac {0.08}{0.92}$

$k = - \frac{1}{4} In(\frac {0.08}{0.92})$

k ≈ 0.06106

Calculating time, t when y(t) = 90%

⇒ y(t) = 0.9

$\frac{0.08}{[0.08 + 0.92e^{-0.06106t}]} =0.9$

$0.08 + 0.92e^{-0.06106t} = \frac {0.9}{0.08}$

$0.08 + 0.92e^{-0.06106t} = 0.089$

$0.92e^{-0.06106t} = 0.089 - 0.08$

$0.92e^{-0.06106t} = 0.0089$

$t = - \frac{1}{0.06106}In (\frac{0.0089}{0.92})$

t = 7.59 hours

⇒ 7 hours 36 minutes

From 8 A.M. plus 7 hours 36 minutes = 3:36 PM

At 3:36 PM will 90% of the population have heard the rumor

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3 years ago

Which relationship describes angles 1 and 2?

Grace [21]

Sounds like your describing complementary angles (a pair of angles that add up to be 90 degrees) but not super sure based on that description you have there.

Tell me does it look like this:

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3 years ago

Read 2 more answers

If you begin with a 0.15 m glucose solution in

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Answer:

the first one

Step-by-step explanation:

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3 years ago

Application: Linear Models

Lunna [17]

The answer is D because 16 weeks x 4 dollars = 64 dollars
64+30=94 :D

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4 years ago

HELPPP PLEASEEEEE, BRIANLEST WILL BE GIVEN ON CORRECT!​

HELPPP PLEASEEEEE, BRIANLEST WILL BE GIVEN ON CORRECT!