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ladessa [460]
3 years ago
14

Show that f(x)=x^3 and g(x)=200x^3 grow at the same rate

Mathematics
1 answer:
babunello [35]3 years ago
4 0

Answer:

Following are the response to these question:

Step-by-step explanation:

\to f(x)=x^3 \\\\ \to g(x)=200x^3\\\\

\to  \lim_{n \to \infty} \frac{f(x)}{g(x)} \\\\= \lim_{n \to \infty} \frac{x^3}{200x^3}\\\\= \frac{1}{200} \ \ (infity)\\\\\to f(x) \ \ and \ \ g(x)  grows at the same rate.

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Find the perimeter and area of a rectangle with the following length and breadth:
Vikentia [17]

Answer:

perimeter: 2(l+b) , area : multiply by breadth

Step-by-step explanation:

perimeter: 2(10.5+5.5)

               :206.5m ans

area: 10.5multiply bye 5.5

      :57.75m ans

2: perimeter: 2(15+6.8)

                   : 36.8cm ans

area : 15 multiply by 6.8

        : 102cm ans  

5 0
2 years ago
analyze how the circumference of a circle would change if the diameter was doubled. provide an example to support your explanati
Lapatulllka [165]

The circumference would also be doubled. The formula to find circumference is 2π r; since radius is just the diameter divided by two, if you double it the radius also doubles. All in all, this doubles the circumference. For example, if the diameter was 10, the radius would be 5. Circumference for this circle would equal 31.4. Now, if you were to double the diameter to equal 20, thus making the radius 10, the circumference would be 62.8.
5 0
3 years ago
Which expression represents the algebraic phrase “the sum of negative three-eighths and four times x minus nine times z”?
MAXImum [283]
An algebraic phrase or expression is a mixture of integer constants, variables and algebraic operations like addition, subtraction, multiplication, division and exponentiation. In this problem, you need to isolate first what is grouped together or what needs to be done first which in this sentence, "the sum of negative three-eighths and four. By substitution, it would be (-3/8+4). Then you multiply their sum by x so it would result to (-3/8+4)x. After that it is said that you need to minus that to nine times z which is 9z. This will result to an expression like this (-3/8 +4)x-9z. In the simplest term, the answer would be 9/8x-9z.
7 0
2 years ago
Read 2 more answers
Needs to be solved in 10 min. I don't under stand.
GarryVolchara [31]

4a. 150*6=900 g

4b. 450/150=3 eggs

5a. 11.96/4=$2.99/bag

5b. 2.99*9=$26.91 for 9 bags

Hope this helps!

8 0
3 years ago
A spherical storage tank has a diameter of 14 feet approximately how many cubic feet of water will it hold
lutik1710 [3]
So its four times pi times half the diameter squared
so that is 615.75 feet cubed
8 0
3 years ago
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