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m_a_m_a [10]
3 years ago
7

The temperature at the base of a mountain is 9 degrees. For every 1000 feet rise in altitude, the temperature drops 3 degrees. T

he hikers want to go back down before the temperature reaches -6degrees. At what altitude should the hikers turn back
Mathematics
1 answer:
Aleks [24]3 years ago
4 0

Answer:

5000 feet

Step-by-step explanation:

We can solve this question by using arithmetic series concept.

Now, difference of temperature is key point here. Initial temperate is 9 degrees. Final temperature where hiker wants to turn back is -6 degree.

For every 1000 feet there is drop of 3 degree. from this data we can calculate the returning point altitude.

Now For arithmetic sequence, formula is

T(n) = a + (n-1)d

where T(n) is final term which is -6

a is initial term which is 9

d is common difference which is -3. Note that common difference is taken in negative because temperature is decreasing at every 1000 feet.

Now by putting values

-6 = 9 + (n-1)*(-3)

-6-9 = (n-1)*(-3)

-15 = -3n+3

-18 = -3n

so, n = 6

Now remember that every 1000 feet there is drop of temperature, and temperature dropped first time after hiker covered 1000 feet, so we have to eliminate first term here, which means we have to take (n-1) here to calculate the total altitude

So, we have to multiply the value of n with 1000 to calculate original altitude.

Altitude = 1000*(n-1)

Altitude = (1000)(5)

Altitude = 5000 feet.

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What is 5 lb10 oz + 3 lb12 oz
yanalaym [24]

Answer:

9 lbs and 6 Oz

Step-by-step explanation:

10 + 12= 22

5+3= 8

1 lbs=16 oz

22-16=6

5+3+1=9

6 oz is left over

Hope this helps :)

4 0
3 years ago
Read 2 more answers
To one decimal point how many millimeters are there in 57 inches
attashe74 [19]
1 inch =25.4 millimeters
therefore to calculate the number of millimeters that are in 57 inches we proceed as follows;
(25.4)/1*57
=1447.8/1
=1447.8 millimeters
The answer is 1447.8 mm
Therefore we conclude that there are 1,447.8 millimeters in  57 inches.

4 0
3 years ago
Find the z score that has 70.54% of the distribution area to its right
Alik [6]

The z score that has 70.54% of the distribution area is 9.92

<h3>What is a z-score?</h3>

The z-score is a numerical measurement used in statistics to refer to how much a given value differs from the standard deviation.

For the random variable x, the z-score is;

z = (x - 11)/2

therefore, 70.54% of the area under the curve lies to the right of x,

then the area to the left of x is;

100 - 70.54 = 29.46%

From the standard table, a z-score of -0.54 will yield an area of 29.46% to the left of x.

Therefore, we get;

(x - 11)/2 = -0.54

x - 11 = -0.54(2)

x = 9.92

The z score  is 9.92

Learn more about z score here;

brainly.com/question/4167122

#SPJ1

7 0
1 year ago
Pleaseeee helpppp ):
tigry1 [53]

Answer:

4

_

3.14159265358979323846264338327952884197169393751

3 0
3 years ago
Please show me the steps to this thank you.
irakobra [83]
Since the lines are perpendicular the opposite angle of labeled is also 60° and so would the two angles on the the lower just opposite way therefore 8x-4=60
-4 -4
8x=56
/8 /8
X=7
5 0
3 years ago
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