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laila [671]
2 years ago
12

Jacob has taken three math test

Mathematics
1 answer:
Karolina [17]2 years ago
6 0
Okay very cool !!!!!! lol
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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
PSYCHO15rus [73]

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

8 0
3 years ago
How do I confirm that f and g are inverses?
Anestetic [448]

Answer:

see explanation

Step-by-step explanation:

To show f and g are inverses we require to show that

f(g(x)) = x and g(f(x)) = x

f(g(x))

= f(6x - 4)

= \frac{6x-4+4}{6} = \frac{6x}{6} = x

-----------------------------------------------------------------------------

g(f(x))

= g(\frac{x+4}{6} )

= ( 6 × \frac{x+4}{6}) - 4

= x + 4 - 4 = x

-------------------------------------------------

Hence f and g are inverses

4 0
3 years ago
On a coordinate plane the location of 3 points are (0,6) (5,-4) and (-1,-5) where would the fourth point need to be located in o
REY [17]

Answer:

(9.2)

Step-by-step explanation:

idkc

5 0
3 years ago
Log (4x-1)+5=8<br><br> Please help me!
nordsb [41]

log (4x-1) + 5 = 8

log (4x-1) = 8 - 5

log (4x-1) = 3

4x - 1 = 10³

4x - 1 = 1000

4x = 1001

x = 1001/4

ok done. Thank to me :>

4 0
2 years ago
What is the distance, to the nearest hundredth, from (6, 5) to (−3, −8)?
Olin [163]

Answer:

15.81

Step-by-step explanation:

Use the distance formula:

So the distance formula for two given points is

Distance= sqrt((x2-x1)^2 +(y2-y1)^2 ) =sqrt((-3-6)^2 +(-8-5)^2 )

=sqrt((-9)^2 +(-13)^2 )

=sqrt(81+169)

=sqrt(250)

=15.81

Hope this helped

:)

5 0
3 years ago
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