1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alexandra [31]
3 years ago
15

The heat index I is a measure of how hot it feels when the relative humidity is H (as a percentage) and the actual air temperatu

re is T (in degrees Fahrenheit). An approximate formula for the heat index that is valid for (T ,H) near (90, 40) is I (T,H) = 45.33 + 0.6845T + 5.758H − 0.00365T 2 − 0.1565HT + 0.001HT2 (a) Calculate I at (T ,H) = (95, 50). (b) Which partial derivative tells us the increase in I per degree increase in T when (T ,H) = (95, 50)? Calculate this partial derivative.
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
8 0

Answer:

a) I(95,50) = 73.19 degrees

b) I_{T}(95,50) = -7.73

Step-by-step explanation:

An approximate formula for the heat index that is valid for (T ,H) near (90, 40) is:

I(T,H) = 45.33 + 0.6845T + 5.758H - 0.00365T^{2} - 0.1565TH + 0.001HT^{2}

a) Calculate I at (T ,H) = (95, 50).

I(95,50) = 45.33 + 0.6845*(95) + 5.758*(50) - 0.00365*(95)^{2} - 0.1565*95*50 + 0.001*50*95^{2} = 73.19 degrees

(b) Which partial derivative tells us the increase in I per degree increase in T when (T ,H) = (95, 50)? Calculate this partial derivative.

This is the partial derivative of I in function of T, that is I_{T}(T,H). So

I(T,H) = 45.33 + 0.6845T + 5.758H - 0.00365T^{2} - 0.1565TH + 0.001HT^{2}

I_{T}(T,H) = 0.6845 - 2*0.00365T - 0.1565H + 2*0.001H

I_{T}(95,50) = 0.6845 - 2*0.00365*(95) - 0.1565*(50) + 2*0.001(50) = -7.73

You might be interested in
A 3-column table with 6 rows. Column 1 is labeled Number Rolled with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Observed Freq
alisha [4.7K]

Answer:

1/5, 2/15

Step-by-step explanation:

All the probabilities are the Observed Frequencies/Total Rolls = Observed Frequencies/60

That means A is 12/60 = 1/5

That also means B is 8/60 = 2/15

7 0
3 years ago
Read 3 more answers
 can someone please help for brainliest!!!!!
Marina86 [1]

Answer:

B

Step-by-step explanation:

6 0
2 years ago
7. Write the equation of the line that is perpendicular to y = -5x + 1 and passes through the point (2,-1). slope intercept equa
Svetach [21]

Answer:

y = 1/5x - 7/5

Step-by-step explanation:

y = 1/5x + b

-1 = 1/5(2) + b

-1 = 2/5 + b

-7/5 = b

4 0
2 years ago
Which expression is equivalent to ?
ivann1987 [24]

Answer:

2x Y,

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
If a ladder is to be placed 3 feet from the side of a house. If top of the ladder rests exactly on the edge of the house when it
likoan [24]

Answer:

7 feet long

Step-by-step explanation:

This set up will give a right angle triangle where;

Length of the ladder is the hypotenuse = x

The distance of the ladder to the house is the adjacent = 3 feet

Angle of elevation theta = 72 degrees

Using the CAH in trigonometry identity;

cos theta = adjacent/hypotenuse

cos 72 = 3/hyp

hyp = 3/cos72

hyp = 3/0.4258

hyp = 7.05 feet

Hence the ladder is approximately 7 feet long

6 0
3 years ago
Other questions:
  • What digits can be in one's place of a number that has 5 as a factor
    13·1 answer
  • What is the quotient when (10n^2-37n-12) is divided by (n-4)?
    12·1 answer
  • Colin drew the floor plan of his bedroom shown below. What is the area of his bedroom in square feet?
    11·2 answers
  • ANSWER GETS BRAINLIEST AND 50 POINTS
    5·2 answers
  • What is the value of y when x = 4<br> y = 15x +7
    10·1 answer
  • Is a = 8 a solution to the inequality below? 4 &gt; a -6
    15·1 answer
  • Ms naima is 5 years younger than twice nasser’s age. The sum of their ages is 40. How old is ms naima?
    14·1 answer
  • Helpppppppppppppppppppppppp
    9·2 answers
  • GIVE AWAY TIME!!!!!!
    13·2 answers
  • A basketball player attempts 18 baskets in a game. He makes 8 of the attempted baskets. Which ratio describes the number of bask
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!