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2 years ago

Find the 7th term of a geometric sequence with t1=5 and r = -2.

Mathematics

1 answer:

Shtirlitz [24]2 years ago

4 0

An=Asub1(r)n-¹
=5(-2)7-¹
=5(64)
A7=320

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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

Inverse of x=-4, what is x?

Katena32 [7]

X is the only way to

7 0

3 years ago

Write in slope-intercept form an equation of the line that passes through the given points. (5,4), (10,8)

professor190 [17]

Answer:

y=4/5x

Step-by-step explanation:

y=mx+b

plug in y and x into each equation and solve!

4=5m+b

8=10m+b

4=5m

m=4/5

b=0

y=4/5x+0

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2 years ago

Find the equation of the line passing through the point (8, -4) and slope -4.

ehidna [41]

Answer:

y+4x=36

Step-by-step explanation:

the answer isn't in the choice

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2 years ago

Asap 13 points and show work

Mila [183]

The answer would be 10 it is cheaper you must divide here is my work

<span>You divide unit per price = 10/$6.75 = $1.48 12/$7.25 = $1.65 Which means 10 units are cheaper</span>

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3 years ago