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Anika [276]
2 years ago
15

8. Which of the following is not a true statement?

Mathematics
2 answers:
Tresset [83]2 years ago
4 0

Answer:

Answe is D

Step-by-step explanation:

The zero doesn't mean any sense when it comes to decimal..

Alja [10]2 years ago
3 0

Answer:

i think its D

Step-by-step explanation:

27.42000 > 27.42000 is wrong because they're equal.

correct answer:

27.42000 = 27.42000

hope this helps!

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Evaluate 4 + (-2) - (-3) – 6.
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Step-by-step explanation:

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What is the slope of this line?
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(-4,5),(0,6)

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5 0
2 years ago
A fence must be built to enclose a rectangular area of 20,000 ft^2. Fencing material costs $4 per foot for the two sides facing
Marysya12 [62]

The cost of the least expensive fence is $3200

Step-by-step explanation:

The given is:

  • A fence must be built to enclose a rectangular area of 20,000 ft²
  • Fencing material costs $4 per foot for the two sides facing north and south and ​$8 per foot for the other two sides

We need to find the cost of the least expensive fence

Assume that the length of each side opposite to North or South is x feet and the length of each other sides  is y feet

∵ The length of the rectangle = x feet

∵ The width of the rectangle = y feet

∵ The rectangular area is 20,000 ft²

- Area of a rectangle = length × width

∴ x × y = 20,000

- Divide both sides by x to find y in terms of x

∴ y=\frac{20,000}{x}

The fence's length is equal to the perimeter of the rectangular area

∵ Perimeter of the rectangle = 2 length + 2 width

∴ Perimeter of the rectangle = 2x + 2y

∵ Fencing material costs $4 per foot for the two sides facing

   North and South

∴ x costs $4 per foot

∵ The cost of the other two sides is $8 per foot

∴ y costs $8 per feet

The cost of the fence is the sum of the products of 4 , 2x and 8 , 2y

∵ The cost of the fence (C) = 4(2x) + 8(2y)

∴ C = 8x + 16y

- Substitute y by its value above

∴ C=8x+16(\frac{20,000}{x})

∴ C=8x+\frac{320,000}{x}

To find the least expensive differentiate C with respect to x and equate the answer by 0 to find the value of x

∵ \frac{320,000}{x} can be written as 320,000x^{-1}

∴ C=8x+320,000x^{-1}

∵ \frac{dC}{dx}=8(1)x^{1-1}+320,000(-1)x^{-1-1}

∴ \frac{dC}{dx}=8-320,000x^{-2}

- Equate \frac{dC}{dx} by zero

∴ 8-320,000x^{-2}=0

∵ -320,000x^{-2}=-\frac{320,000}{x^{2}}

∴ 8-\frac{320,000}{x^{2}}=0

- Subtract 8 from both sides

∴ -\frac{320,000}{x^{2}}=-8

- Multiply both sides by x²

∴ - 320,000 = - 8x²

- Divide both sides by -8

∴ 40,000 = x²

- Take √  for both sides

∴ 200 = x

Substitute x in the equation of C to find the least cost of fence

∵ C=8(200)+\frac{320,000}{(200)}

∴ C = 1600 + 1600

∴ C = 3200

The cost of the least expensive fence is $3200

Learn more:

You can learn more about the differentiation in brainly.com/question/4279146

#LearnwithBrainly

5 0
2 years ago
Isandro and Yvette each have a calculator. Yvette starts at 100 and subtracts 7 each time. Isandro starts at 0 and adds 3 each t
Talja [164]

Answer: <u>30</u>

Step-by-step explanation:

Yvette- <em>100-7</em>

Isandro- <em>0+3</em>

1.) I'm going to speed up the process and multiply by 5.

Yvette: <em>100-7</em>

7  × 5 = 35

100-35= 65

65-35= 30

Isandro: <em>0+3 </em>

3 × 5 = 15

0+15= 15

15+15=<em> </em>30

2.) If they keep going on this pattern they will have the same number on the 10 round.

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