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3 years ago

30 – 6w + 12 Solve for w

Mathematics

2 answers:

Artist 52 [7]3 years ago

8 0

Answer:

-6W + 42

Step-by-step explanation:

We need to organize this expression into groups of like terms, so we can combine them easier.

Numerical terms are commonly written last.

There is only one group of like terms:

30 , 12

Numerical terms in this expression have been added

damaskus [11]3 years ago

3 0

Answer:

Step-by-step explanation:

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Please help! 2x + 3y = 12, x + y = 5

denis23 [38]

x=3 and y=2 because 6+6 = 12 and 2 times 3 is 6 :)

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3 years ago

Read 2 more answers

What is the correct here

Leona [35]

Answer: it is the 2one

Step-by-step explanation:

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4 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

Can I please have a on this

Akimi4 [234]

Answer:

A. - 6

Step-by-step explanation:

A loss of 6 pounds.

- 6 pounds

A. - 6

5 0

3 years ago

A number to the 10th power divided by the same number to the 7th power equals 125. What is the number?

Viefleur [7K]

Answer:

the number is 5

Step-by-step explanation:

x^10 ÷ x^7 = 125

x^3 = 125

x = 5

6 0

3 years ago