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Neko [114]
3 years ago
12

(4h+6h2 +1) – (5h2– 8h4 +6) Need help simplify

Mathematics
2 answers:
lions [1.4K]3 years ago
5 0

Step-by-step explanation:

4h+6h2+1−(5h2−8h4+6)

=4h+6h2+1+−1(5h2−8h4+6)

=4h+6h2+1+−1(5h2)+−1(−8h4)+(−1)(6)

=4h+6h2+1+−5h2+8h4+−6

=4h+6h2+1+−5h2+8h4+−6

=(8h4)+(6h2+−5h2)+(4h)+(1+−6)

=8h4+h2+4h+−5 <- Answer

hope this helps <3

Yuki888 [10]3 years ago
5 0

Answer:

8h^4+h^2+4h-5

Step-by-step explanation:

(4h+6h^2+1)-(5h^2-8h^4+6)

4h+6h^2+1-5h^2+8h^4-6

8h^4+h^2+4h+1-6

8h^4+h^2+4h-5

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Second option:

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We have this system of equations:

y=30x+500
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We can solve this system of equations by equalization method
30x+500=50x+200
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Answer; after 15 months, she would save the same amount using either option, the amount saved in either option will be $950. 
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On a hot Saturday morning while people are working​ inside, the air conditioner keeps the temperature inside the building at 24
Helen [10]

Answer:

30.06 degree Celsius at 4:00 PM.

Step-by-step explanation:

We have been given that on a hot Saturday morning while people are working​ inside, the air conditioner keeps the temperature inside the building at 24 degrees C. At noon the air conditioner is turned​ off, and the people go home. The temperature outside is a constant 35 degrees C for the rest of the afternoon. The time constant for the building is 5 ​hr. We are asked to find the temperature inside the building at 4:00 PM.

We will use Newton's law of cooling to solve our given problem.

T(t)=M_0+(T_0-M_0)e^{-kt}, where

T(t) = Temperature after t hours.

M_0 = Temperature of surrounding environment,

k = Time constant.

\frac{1}{k}=5\Rightarrow k=\frac{1}{5}

Upon substituting our given values in Newton's cooling law, we will get:

T(t)=35+(24-35)e^{-\frac{t}{5}}

T(t)=35-11e^{-\frac{t}{5}}

To find the temperature at 4:00 pm, we will substitute t=4 in our formula as:

T(4)=35-11e^{-\frac{4}{5}}

T(4)=35-\frac{11}{e^{\frac{4}{5}}}

T(4)=35-\frac{11}{2.2255409284924674}

T(4)=35-4.9426186052894379601

T(4)=30.05738139471

T(4)\approx 30.06

Therefore, the temperature inside building would be approximately 30.06 degree Celsius at 4:00 PM.

5 0
3 years ago
Find the range of the data set 37 40 33 45 32 34
Lelechka [254]

Answer: 13

Step-by-step explanation: The range of a group of numbers is the difference between the largest and smallest numbers. First, we can order these numbers from least to greatest.

32 - 33 - 34 - 37 - 40 - 45

Next, we can subtract the smallest number from our largest number.

<u>Smallest number = 32</u>

<u>Largest number = 45</u>

45 - 32 = 13

Therefore, the range of these numbers is 13.

3 0
3 years ago
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