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7nadin3 [17]
3 years ago
6

Y = 4

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
5 0

Answer:

when x=5, y=4

the slope is 0

Step-by-step explanation:

There isn't much to explain.

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Two pairs of statements about Jeff's housing expenditures are given below. How can both pairs of statements be true?
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Explanation:

Pair 1 is true if Jeff's monthly income is $600/20% = $3,000.

Pair 2 is true if Jeff's monthly income is $1200/10% = $12,000.

Both pairs can be true if Jeff's monthly income increased by a factor of 4 in the 20 years from 1990 to 2010.

Obviously, Jeff spent more on housing in 2010. (Fortunately for Jeff, that larger expenditure was a smaller fraction of his income.)

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Select the correct answer. Anna learns in her science class that the human eye blinks an average of 4,200,000 times a year. What
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Answer:

Step-by-step explanation:

A. 4.2E6 because when putting a number into scientific notation, you would want one number in front of the decimal place and then the trailing numbers would follow. The exponent or E stand for how many numbers are after the decimal, which in this case would be 6.  

4,200,000 → 4.2 x 10^6 which is equal to saying 4.2E6

Tip: If the exponent is negative than the decimal would go in the opposite direction. For example:

4,200,000 → 4.2 x 10^-6 would not equal each other because 4.2 x 10^-6 means 0.000004, six numbers would be behind the decimal.

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An apartment complex has a floor plan with dimensions shown. To effectively air condition a room, 20 BTU’s are required for ever
kifflom [539]

12,900 BTU's are required to cool the room effectively.

Step-by-step explanation:

Step 1:

We must calculate the area of the entire shape to determine the minimum BTU's required to cool the room effectively.

It is made up of a semi-circle a rectangle, and a trapezoid.

Step 2:

The area of a semi-circle =\frac{ \pi r^{2} }{2} .

Here, the diameter is 20 feet so the radius is 10 feet.

The area of the semi-circle =\frac{ \pi r^{2} }{2} =\frac{ (\pi) (10^{2}) }{2} = 157.079 square feet.

The area of a rectangle = (l)(w).

The length of the rectangle is 22 feet and the width is 20 feet.

The area of a rectangle = (l)(w) =(22)(20) = 440 square feet.

The area of a trapezoid =\frac{a+b}{2} (h).

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The area of a trapezoid =\frac{12+20}{2} (3) = 48 square feet.

Step 3:

The total area of the floor plan =157.079+440+48 = 645.079 square feet.

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Rounding this off, we get 12,900 BTU's required  to cool the room effectively.

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