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pentagon [3]
3 years ago
7

A pot of stew is placed on a stove to heat. The temperature of the liquid reaches 170°F, and then the pot is taken off the burne

r and placed on a kitchen counter. The temperature of the air in the kitchen is 76°F.
If k = 0.34, the temperature of the liquid after 7 hours will be ºF. (Hint: Use Newton’s cooling model.)
Mathematics
1 answer:
givi [52]3 years ago
8 0
With the given hint to be able to answer the question above, the equation for Newton's law of cooling is as follows:
                         T(t) = T(s) + (T0 - Ts)e^-kt
where T(t) is the body's temperature at any given time, Ts is the temperature of the surrounding, T0 is the initial temperature, and k is constant. 
Substituting the values with the given above,
                             T(t) = 76 + (170 - 76)*e^(-0.34)(7)
This gives us the answer,
                                     T(t) = 84.7 degrees F
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Agri-small business limited expenses on petrol for their fleet is r 4 850.00 at the end of september and they have a balance of
kotykmax [81]

The total income and expenditure of Agri-small business limited in September is R 299596 and expenditure is R 193236.

Given that the expenses on petrol be R4850.00 at the end of September, balance is R 106360.00, usage on income of salaries be 25%, on electricity,rates and taxes be 11%, 42% of the remaining on insurance and investments.

We are required to find the total income and expenditure in September.

Generally the equation for insurance is mathematically given as :

Insurance=42% of the balance

Insurance=0.42*0.64A

Insurance=0.2688A.

Generally the equation for the total after all the other expenditures is mathematically given as:

Total expenditure after all other expenditures=0.64A-0.2688A

Total expenditures after all other expenditures=0.3712A.

Total expenditures after all other expenditures is as 111210 (106360+4850)

Equating both the equation and value:

111210=3712A

A=299596

The total income is 299596.

Therefore the calculation of expense is given as:

Expense=0.25A+0.11A+0.2688A+4850

Expense=0.6288A+4850

=0.6288*299596+4850

=193236

The expense is 193236.

Hence the total income and expenditure in September are "Income is R 299596 and expenditure is R 193236.

Learn more about income at brainly.com/question/25745683

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5 0
2 years ago
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What would the answer be?
Alexus [3.1K]
C.) 27 and a half. 12 minutes times 5 equals an hour so 5 and a half pages times 5 equals 27 and a half pages per hour.
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3 years ago
What is the value of x so that the line segment with endpoints W(x, −2) and X(5, −4) is parallel to the line segment with endpoi
coldgirl [10]

Answer:

x equals six start fraction one over two end fraction

Step-by-step explanation:

Segments which are parallel have the same slope. Find the slope of of YZ. Then using that value, find the slope WX and solve for the value of x.

Slope of YZ is:

m = \frac{y_2-y_1}{x_2-x_1}=\frac{2-6}{2-5}=\frac{-4}{-3}=\frac{4}{3}

Since they are parallel, then WX has a slope of 4/3 too.

Slope of WX is:

m = \frac{y_2-y_1}{x_2-x_1}\\\\\frac{4}{3}=\frac{-2--4}{x-5}\\\\\frac{4}{3}=\frac{2}{x-5}\\\\\frac{4}{3} (x-5) = 2\\\\4x -20=6\\\\4x = 26\\\\x = 6\frac{1}{2}

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3 years ago
Can you guys please help me
makvit [3.9K]

Answer:

1302

Step-by-step explanation:

14 * 93 = 1302

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3 years ago
Evaluate sum r=1 ^ infty 1 r(r+2)^ prime
sasho [114]

1^infinity = 1

Thus :

r = 1

______________________

r ( r + 2 )^prime =

1 × ( 1 + 2 )^1 =

1 × 3^1 =

1 × 3 =

3

3 0
3 years ago
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