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3 years ago

Simplify (6a4b-2c)(-a2bc5)

Mathematics

1 answer:

Soloha48 [4]3 years ago

4 0

It simplifies to -6a^6b^2c^5+2a^2bc^6

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Consider the function f(x)=−2/3x+2 . What is f(1/2)? Enter your answer, as a simplified fraction, in the box.

Iteru [2.4K]

Answer:

Step-by-step explanation:

look at the x and y axis

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3 years ago

Find the area of the polygon.

Salsk061 [2.6K]

Answer:

174 ft²

Step-by-step explanation:

The polygon cam be decomposed into two rectangles.

The area of the polygon = rectangle A + rectangle B

Area of rectangle A = L* W

L = 18 ft

W = 9 ft

Area of rectangle A = 18*9 = 162 ft²

Area of rectangle B = L* W

L = 20 - 18 = 2 ft

W = 6 ft

Area of rectangle A = 2*6 = 12 ft²

✔️Area of the polygon = 162 + 12 = 174 ft²

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3 years ago

Mrs. Bailey has a flower garden 56 are pink, and 121 are blue. ½ of the pink flowers are blooming. ⅓ of the blue flowers are blo

Kobotan [32]

Answer:

Step-by-step explanation:

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3 years ago

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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

7 - (-15) am I going right of left?

Anvisha [2.4K]

Answer:

7-(-15)= 22

Step-by-step explanation:

You would go right on a number line, since two negatives turn into a positive.

7-(-15) ---> 7+15

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3 years ago

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