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AleksAgata [21]
3 years ago
15

The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8100 ft, the liquid boils at 20

1.28°F. At an altitude of 4300 ft, the liquid boils at 205.84°F. Write an equation giving the boiling point b of the​ liquid, in degrees​ Fahrenheit, in terms of altitude​ a, in feet. What is the boiling point of the liquid at 2200 ft?
20 POINTS PLZ ANSWER
Mathematics
1 answer:
Zinaida [17]3 years ago
8 0

9514 1404 393

Answer:

  b = -0.0012a +211

  208.36 °F at 2200 ft

Step-by-step explanation:

We are given two points:

  (a, b) = (8100, 201.28) and (4300, 205.84)

The slope of the desired line can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (205.84 -201.28)/(4300 -8100) = 4.56/-3800 = -0.0012

The "y-intercept" of the function can be found from ...

  y-intercept = b -ma

  y-intercept = 201.28 -(-0.0012)(8100) = 211.00

So, the function of interest is ...

  b = -0.0012a +211

__

At 2200 ft, the boiling point is ...

  b = -0.0012×2200 +211 = -2.64 +211 = 208.36

The boiling point of the liquid at 2200 ft is 208.36 °F.

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Answer:

45 trees

Step-by-step explanation:

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5 0
3 years ago
Identify is this is percent increase or percent decrease, then calculate percentage
vlabodo [156]

<em>Last year the chess club had 30 members. This year the club has 24 members. </em>

Last year, the chess club had 30 members. This year, the club has 24 members. Since this year had less than last year ( 30 > 24), the percent will be decreasing.

To find the percent decrease, you have to use the following formula.

\frac{Difference}{Original} \times 100

Difference refers to the difference between the two numbers, 24 and 30. The difference between 24 and 30 is 6. Original refers to the original number, which is last year's amount of members in the chess group. Therefore, original = 30.

Substitute the numbers into the formula.

\frac{Difference}{Original} =\frac{6}{30} =0.2

To convert the decimal to a fraction, multiply the decimal by 100.

0.2 \times 100 = 20 \%

The answer is the number of chess members decreased by 20%.

____

Since I started off by identifying whether it was decreasing or increasing, I did the work a bit differently. When finding the difference, you would usually subtract 30 from 24, which results in -6. Above I used 6, but if you used -6, you would end up with a result of -20%, which means it decreased by 20%. They bot end up with the same result, but you don't always have to first identify whether it's decreasing or increasing.

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3 0
3 years ago
Which expressions are equivalent to ? Check all that apply.
GrogVix [38]

Answer:

6.2+8.7+8.9x

Step-by-step explanation:

For expressions to be equivalent, they must simplify to the same lowest form. 8.9x+6.2+8.7 simplifies to 8.9x +14.9.

Each of the expressions below must simplify to 8.9x + 14.9 to be equivalent.

9x+6+9  = 9x + 15 NO

3.9+6.2+8.7x  = 8.7x + 10.1 NO

3.7+8.9+6.2  = 18.8 NO

6.2+8.7+8.9  = 23.8 NO

6.2+8.7+8.9x  = 8.9x + 14.9 YES

3.9+6.2x+8.7  = 6.2x + 12.6 NO

3.9x+8.7+6.2 = 3.9x + 14.9 NO

8 0
4 years ago
Read 2 more answers
Under what condition,the determinant of a matrix is possible?​
ehidna [41]

Answer:

There are three condition, where determinant can be zero. If the complete row of a matrix is zero. If any row or column of a matrix is the constant multiple of another row or column. If any two rows or columns are equal.If all the elements of a row (or column) are zeros, then the value of the determinant is zero. ) is 1.

Step-by-step explanation:

5 0
2 years ago
HELP PLEASE AND WORTH 20 POINTS
Inessa05 [86]
If the distance is 1.5 from -2, then it could be 1.5 less than -2 or 1.5 more than -2, so we know that we will have two points on the number line.
Let’s first find 1.5 less than -2
We will subtract 1.5 from -2
-2-1.5 = -3.5
Our first value of n will be -3.5
Next let’s find 1.5 more than -2
We will add 1.5 to -2
-2+1.5 = -0.5
Our second value of n will be -0.5

Our answers will be -3.5 and -0.5
6 0
3 years ago
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