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3 years ago

(6m+6) what is the value of m

Mathematics

1 answer:

balandron [24]3 years ago

7 0

Answer:

(6m+6)

Now you factor out the common term 6 and get

6(m + 1)

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What is the vertex? f(x) = -x2 - 4x + 12

bekas [8.4K]

Answer:

-2, 16

Step-by-step explanation:

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3 years ago

I just need #12 I don’t know if it’s 2 or 1 I feel like 2 because it can be cut middle and straight down so pls help!?!?

DaniilM [7]

The answer is 1 because it can only be cut right in the middle

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3 years ago

Mr. Ratchett, an elderly American, was found murdered in his train compartment on the Orient Express at 7 AM. When his body was

nasty-shy [4]

Answer: Mr. Ratchett died approximately at 2AM.

Step-by-step explanation: Newton's Law of Cooling shows the cooling rate between a body and the environment, by stating that the rate is proportional to the difference in temperatures between them.

Mathematically, it is represented as:

$\frac{dQ}{dt}=\alpha.A.(T_{s}-T)$

This differential equation solved, gives the solution:

$T(t)=T_{s}+(T_{0}-T_{s})e^{-kt}$

where

$T_{s}$ is temperature of the environment

$T_{0}$ is the initial temperature of the body

k is a parameter dependent of heat transfer coefficient, heat capacity and area of the body

t is time required to change the temperature

For the murder on the Orient Express, first determine parameter k.

In 1 hour, Mr. Ratchett's body decrease 1°:

$27=22+(28-22)e^{-1k}$

$5=6e^{-k}$

$e^{-k}=\frac{5}{6}$

$ln(e^{-k})=ln(0.834)$

k = 0.1823

Using the parameter, find estimate time:

$28=22+(37-22)e^{-0.1823t}$

$6=15e^{-0.1823t}$

$ln(e^{-0.1823t})=ln(0.4)$

0.1823t = 0.9163

$t=\frac{0.9163}{0.1823}$

t ≈ 5 hours

The body was found at 7AM. So, it took approximately 5 hours to cool down to 28° at that time. Therefore, Mr. Ratchett died at 2AM.

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3 years ago

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Anna11 [10]

Answer:

The answer is b can i have brainliest

Step-by-step explanation:

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