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umka21 [38]
3 years ago
11

A student said that since -9 is less than 4, then |-9| is less than |4|. Is the student correct? Explain why or why not.

Mathematics
2 answers:
IRISSAK [1]3 years ago
4 0
No, that is not true. The absolute value is the distance a number is from zero. The distance of -9 to 0 is 9. 9 is not less than 4.
bazaltina [42]3 years ago
3 0

Answer:

No.

Step-by-step explanation:

They are not correct because the "| |" signs mean absolute value. What ever is inside the signs must be positive. So -9 becomes 9 and 9 is greater than 4. So, the student is not correct.

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When x represents whole numbers less than 200, the function f(x) = 2x - 20 represents the profit earned from selling x carnation
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Answer:

260

Step-by-step explanation:

When x represents whole numbers less than 200, the function  

f(x) = 2x - 20 .......... (1)

represents the profit earned from selling x carnations for a school fund-raiser.

Therefore, the profit earned from selling 140 carnations for the school fund-raiser will be given by the equation (1) as

f(140) = 2(140) - 20 = 280 - 20 = 260.

Therefore, 260 is the value of f(140). (Answer)

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Please help me with this work​
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Answer:

  1. about 243.9 cm³
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Step-by-step explanation:

<h3>1.</h3>

The 8-cm diameter sphere has a radius of 4 cm. The volume of it is given by ...

  V = 4/3πr³ = 4/3π(4 cm)³ = 256/3π cm³

The 8-cm cube has a volume of ...

  V = s³

  V = (8 cm)³ = 512 cm³

The volume of the empty space is the difference of these volumes:

  space = 512 cm³ -256/3π cm³ = 256(6 -π)/3 cm³

  space ≈ 243.9 cm³

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<h3>2.</h3>

The area of a hemisphere is twice the area of a circle with the same radius. Then the area of the top and bottom of the birdbath will be 2+1 = 3 times the area of a circle with radius 30 cm.

  top+bottom area = 3 × πr² = 3 × 22/7(30 cm)² = 8485 5/7 cm²

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Then the total surface area of the birdbath is ...

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  total area = 8485 5/7 cm² +27342 6/7 cm² = 35828 4/7 cm²

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