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neonofarm [45]
3 years ago
7

Translate this phrase into an algebraic expression.

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
7 0
4/x+10

(4 divided by x + 10)
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A pot of boiling soup with an internal temperature of 100° Fahrenheit was taken off the stove to cool in a 65°F room. After fift
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86.34 minutes was used   to cool the soup to 80 °F

<h3></h3><h3>How can we calculate this using Newton's Law of Cooling?</h3>

Newton's Law of Cooling can be computed as :

T=T1+(T0- T1) e^{kt}

The initial temperature  is been represent by T0 which is  ( 100 F)

The temperature of surrounding  is been given as  (69 F)

The  final temperature  is been given  as  T

t = time

we were told that the temperature of the soup move to  95 F, using  15 minutes.

Hence,  T = 95 F

t = 15 min

Then we can input the values into the above equation as :

95= 69 + (100-69)e^{15k}

if we simplify this , we have

26= 31e^{15k}

Then e^{15k} =0.8387

Then we can find the value of k as :

k= -0.012

Then we have the new equation as

T= 69 + (100-69)e^{-0.012t}

T= 69 + 31e^{15k}

Then at T=80F

we have,

80= 69 + 31e^{15k}

t=86.34

Then if we simplify , we have t=86.34 which implies that  86.34 minutes was used   to cool the soup to 80 °F

Learn more about Newton's Law of Cooling at:

brainly.com/question/17051432

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8 0
1 year ago
Every year a man is paid $500 more than the previous year. If he receives $17,800 over four years, what was he paid in the first
iragen [17]
Let x+500 represent the first year

For the $500 more than the previous year for 4 years, we would write:
(x+500)+(x+500+500+500)+(x+500+500+500+500)= 17,800

By adding the equation above, 4x+5000=17,800

4x=17,800-5000
4x=12,800
x=3,200

So the amount the man was paid in the first year is 3,200+500=3,700
8 0
3 years ago
Read 2 more answers
Identify the number that does not have the same greatest common factor as the other 368-3420
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I don't understand your question fully, try to list your full problem in the future and maybe people will be able to better help you.
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3 years ago
How do I factor and simplify this?
LenKa [72]
You can simplify it further to: 2n-1 over 3n-5
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Sarah and Noah work at read on bookstore and get paid the same hourly wage. The table shows their work schedule for last week.
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30.Monday 5hours Tuesday 3 hours

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