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4 years ago

PLEASE HELP ME!!!!!!!!!!!!!!!! OUT OF TIME AND MY MIND HERE!!!!

Mathematics

1 answer:

Elenna [48]4 years ago

6 0

Is this a test because you said your out of time

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A point P has coordinates (3,2) what are the new coordinates after reflecting point P over the y-axis

lara [203]

The x-coordinate changes from +3 to -3. The y-coordinate stays the same.

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3 years ago

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How do I find the answer?

seraphim [82]

Answer:

Step-by-step explanation:

Formulas for area: Parallelogram= Base * Height

Triangle= Base * Height / 2

1st triangle to the left: 8*6=48/2=24

2nd triangle to the right:

<u>1st step: </u>6²+b²=10²

36-36+b²=100-36

√b²=√64²

b=8

2nd step: 6*8=48/2=24

only parallelogram:

6*8=48

Final step: 24+24+48=96

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4 years ago

What are the factors of m2 – 12m + 20?m – 14 and m – 6m – 10 and m – 2?

AysviL [449]

So for this polynomial, we will be completing the square. Firstly, what two terms have a product of 20m^2 and a sum of -12m? That would be -10m and -2m. Replace -12m with -2m - 10m: $m^2-2m-10m+20$

Next, factor m^2 - 2m and -10m + 20 separately. Make sure that they have the same quantity inside of the parentheses: $m(m-2)-10(m-2)$

Now you can rewrite this expression as $(m-10)(m-2)$ . <u>(m - 10) and (m - 2) are your two factors.</u>

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3 years ago

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What is the ratio of 140:160

levacccp [35]

Answer:

it reduces to 7:8

Step-by-step explanation:

just put it like a fraction like 140/160. it simplifies to 7/8

4 0

4 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

7 0

3 years ago