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3 years ago

Explain how you I got 0.16

Mathematics

1 answer:

dybincka [34]3 years ago

4 0

So whats the question?

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24 - c/12 = -89 what is x

VLD [36.1K]

Answer:

−

1356

−

1356

Step-by-step explanation:

5 0

3 years ago

..........................

Rainbow [258]

Option A

x+8=-3
x+8-8=-3-8
x=-11

Hope I didn't mess up for your sake!

7 0

3 years ago

How do I solve this: h + 6/5 = 2

Tju [1.3M]

H = 2 - 6/5
h = 4/5
hope it helps :)
mark brainliest!

4 0

3 years ago

What is the first four terms of the geometric sequence where a1=−8 and r=−2 ?

mash [69]

Answer:

-8, 16, -32, 64

Step-by-step explanation:

a1 = -8

r = -2

a2 = -8(-2)=16

a3 = -8(-2)²=-8(4)=-32

a4=-8(-2)³=-8(-8)=64

7 0

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.

5 0

3 years ago