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Rashid [163]
4 years ago
6

How can you show that a generalization is likely correct? (in Math)

Mathematics
2 answers:
Nookie1986 [14]4 years ago
8 0
It can't be proven correct.
user100 [1]4 years ago
3 0

Answer:

A generalization is defined as a broad idea, being applied to a group of people or things that are not entirely true.

Because there are always some examples of individuals or situations, where the generalization does not hold true.

For example-

I see two women wearing hats. So I will generalize that all women wear hats. This is wrong.

And when generalization is true in math like. for count by 10 rule, we know that the ones place stays the same and the tens place changes by one number. Like 21,31,41,51...... Here we can say that generalization is likely correct.

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The house has a form of a rectangle with one side two and a half times as long as the other side.
Studentka2010 [4]

Answer:

A. (x*2.5)*x

B. (32*2.5)*32=2560

Step-by-step explanation:


4 0
4 years ago
Work in the five days?
Ghella [55]

Answer:

9.3

Step-by-step explanation:

last week she worked 45.6 hours. since 40 hours is the limit for normal working hours, she worked 45.6-40 = 5.6 hours overtime.

this week she worked 9.7+8.3+8+9.1+8.6 hours = 43.7 hours.

she worked therefore 43.7-40 = 3.7 hours overtime.

so, in total of the two weeks, she worked 5.6+3.7 = 9.3 hours overtime.

7 0
3 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
3 years ago
Which of the following approximates the ratio of 6 to 198? Select all that apply. 3 out of 10 3 × 10−2 3 out of 1,000 3 × 102 3
Jobisdone [24]

this is approximately 6 to 200

divide both by 2

3 to 100

3 to 10^2

3 out of 100

5 0
3 years ago
Fred has a bag containing 12 black marbles, 10 red marbles, and 15 white marbles .
-Dominant- [34]

Answer:

I dont understand your question but I'm going to assume that you want to add those numbers the answer would be 37 marbles in total

7 0
3 years ago
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