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3 years ago

Which of the following algebraic expressions correctly represent the phrase fifteen less than twice a number

Mathematics

2 answers:

Vlad1618 [11]3 years ago

8 0

Answer:

15-(2×X)

Step-by-step explanation:

hope this is what you need

marishachu [46]3 years ago

8 0

Answer:

Step-by-step explanation:

i can't see the expressions, but your answer will be 2x-15

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If 3^2x+1 = 3^x+5, what is the value of x?

shtirl [24]

Answer:

Step-by-step explanation:

Since the bases are equal the powers also are equal

2x + 1 = x + 5

2x - x = 5 - 1

x = 4

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3 years ago

How do I solve this problem?? Please help!

Alinara [238K]

The truck weights 990,000

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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

Pls tell me least to greatest 4.5 and 3.9 and 4.258 and 3.75 and 4.256

Darya [45]

3.75, 3.9, 4.256, 4.258, 4.5

So how do you find out? It is really easy.

First you look the the number, we all know 3 is less then 4 so the 3s go first

Then you look the tenths, the choices are 3.75 and 3.9. The tenth 9 and 7, and we all know 7 is less then 9, so 3.75 is the first one, then 3.9.

Now let's look at the 4s. The choices are 4.5, 4.258, and 4.256. The tenths are 5, 2, and 2. 2 is less then 5 so they go before 4.5.

Then we look at the hundredth, the choices are 4.256 and 4.258. Since they have same hundreds, we look at the thousands. They are 6 and 8. 6 is less then 8 so 4.256 go before 4.258.

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4 years ago

Joe and his friend were traveling by car, and Joe was driving. Joe accidently backed the car into a tree and his friend was inju

Gwar [14]

The coverage for medical expenses of occupants of the car is provdied by "Medical Expense" or "Medical Payments" coverage.

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4 years ago

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