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ivanzaharov [21]
3 years ago
12

A hot air balloon is descending at a rate of 287 feet per minute.

Mathematics
1 answer:
faust18 [17]3 years ago
8 0

Answer:

Please check the explanation.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the rate of change or slope
  • b is the y-intercept

A hot air balloon is descending at a rate of 287 feet per minute.

Thus, the rate of change m = -287

The negative sign indicates that a hot air balloon is descending.

Let y be elevation.

Let x be the time (in minutes)

As there is no mentioning of the initial height.

Thus, the y-intercept b = 0

now substituting m = -287 and b = 0

y = mx + b

y = -287x + 0

y = -287x

In order to determine the total change in elevation of the balloon in 4 minutes, we need to substitute x = 4 in the equation y = -287x.

Thus, the total change in elevation of the balloon in 4 minutes will be:

y = -287x

y = -287(4)

y = -1148 feet

The negative sign indicates that that the elevation is decreasing.

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Answer:

2 1/6 lbs. of chicken left

Step-by-step explanation:

4 1/2 - 2 1/3

9/2 - 7/3

27/6 - 14/6

13/6 = 2 1/6

3 0
4 years ago
An orange triangular warning sign by the side of the road has an area of 266 square inches. The base of the sign is 9 inches lon
pashok25 [27]

Answer: the base is 28 inches. The altitude is 9 inches

Step-by-step explanation:

Let h represent the altitude of the sign.

Let b represent the length if the base of the sign.

The warning sign is triangular in shape.

The formula for determining the area of a triangle is expressed as

Area = 1/2bh

The base of the sign is 9 inches longer than the altitude. This means that

b = h + 9

If the area of the sign is 266 square inches, it means that

266 = 1/2 × h(h + 9)

266 × 2 = h(h + 9)

532 = h² + 9h

h² + 9h - 532 = 0

h² + 28h - 19h - 532 = 0

h(h + 28) - 19(h + 28) = 0

h(h + 28) - 19(h + 28) = 0

(h + 28)(h - 19) = 0

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Since the height cannot be negative, then h = 19

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5 0
3 years ago
If c varies directly as (r + 1) and c = 8, when r= 3, calculate the value of r when c= 20.
Aneli [31]

Answer:

r = 9

Step-by-step explanation:

Given that c varies directly as (r + 1) then the equation relating them is

c = k(r + 1) ← k is the constant of variation

To find k use the condition c = 8 when r = 3, then

8 = k(3 + 1) = 4k ( divide both sides by 4 )

2 = k

c = 2(r + 1) ← equation of variation

When c = 20, then

20 = 2(r + 1) ← divide both sides by 2

10 = r + 1 ( subtract 1 from both sides )

9 = r

5 0
3 years ago
Read 2 more answers
3 &amp; 4, And tell explanation<br><br> (P.S: Sorry for my sloppy handwriting)
Kazeer [188]
3) Altitude / Time = y2 - y1 / x2 - x1 = 30 - 60 / 6 - 3
 m = -30 / 3
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In short, constant rate of change is y = -10x

b) Constant proportionality exists between two quantities, as the amount of changing in Altitude over fixed period of time is same (constant) for every instance. 

4) Sales / Day = y2-y1 / x2-x1 = 2,000 - 1,000 / 6 - 3
m = 1000 / 3
m = 333.3

a) In short, Constant relationship is y = 333.3x

b) Constant proportionality exists between two quantities, as the amount of changing in Sales over fixed days is same (constant) for every instance. 

Hope this helps!
5 0
3 years ago
A computer program randomly picks from the whole numbers 0-9 and lowercase letters, one at a time, to create a password. What is
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