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postnew [5]
1 year ago
14

Is the difference of 18 and 3 a rational number? Explain

Mathematics
2 answers:
Zinaida [17]1 year ago
7 0

Answer:

Yes

Step-by-step explanation:

The difference of 18 and 3 is 15 which can be expressed as fraction, so its a rational number.

joja [24]1 year ago
5 0

Answer:

Yes, it is a rational number.

Step-by-step explanation:

A rational number is <u>a number that can be expressed in fractional form</u>. A rational number consists of:

  • Integers - they can be expressed in form of \displaystyle{\dfrac{a}{1}} where a is an integer.
  • Fractions - obviously that they are in fractional form.
  • Repeating Decimals - they can be expressed in form of fractions as well.

Since the difference of 18 and 3 is 15 and the number 15 can be expressed as 15/1. Therefore, 15 or the difference of 18 and 3 is a rational number.

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s(t) = 0.29t2 − t + 25 gallons per year (0 ≤ t ≤ 7), where t is time in years since the start of 2007. Use a Riemann sum with n
Sav [38]

Answer: The answer is 300 gallons.

Step-by-step explanation: Riemann sum is a method of calculating the total  area under a curve on a graph, which is also known as Integral.

To calculate that area, we divide it into a number of rectangles with one point touching the curve. The curve has a closed interval [a,b] that can be subdivided into n subintervals, each having a width of Δx_{k} = \frac{b-a}{n}

If a function is defined on the closed interval [a,b] and c_{k} is any point in [x_{k-1},x_{k}], then a Riemann Sum is defined as ∑f(c_{k})Δx_{k}.

For this question:

Δx_{k} = \frac{7-0}{5} = 1.4

Now, we have to find s(t) for each valor on the interval:

s(t) = 0.29t^{2} - t +25

s(0) = 25

s(1) = 24.29

s(2) = 24.16

s(3) = 24.61

s(4) = 25.64

s(5) = 27.25

s(6) = 29.44

s(7) = 32.21

Now, using the formula:

∑f(c_{k})Δx_{k} = 1.4(25+24.29+24.16+24.61+25.64+29.44+32.21)

∑f(c_{k})Δx_{k} = 1.4(212.6)

∑f(c_{k})Δx_{k} ≅ 300

With Riemann Sum, it is estimated the total country's per capita sales of bottled water is 300 gallons.

3 0
3 years ago
Prescription for marilyn jones
sattari [20]

Answer:

The pharmacy should give Marilyn 135 tablets to fill the isoniazid for 45 days

Step-by-step explanation:

Marilyn has to take isoniazid 100 milligrams tablet 3 times a day which means three tablets a day.

The pharmacy has to provide the tablets for 45 days

So,

Total tablets that will be provided by the pharmacy are:

45*3 = 135 tablets ..

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2 years ago
Team rose over run canoed 15 3/4 miles in 2 1/4 hours what was their average rate of speed in miles per hour
Ira Lisetskai [31]
To calculate the speed, divide 15.75 by 2.25 and you get 7 mph.
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3 years ago
Solve each system by substitution <br> Y=2x+7<br> 3x-4y=-13
natali 33 [55]
The correct answer is (-3,1)

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A vehicle originally travelled at 30 kph. Now its speed is increased to 10 kph more than twice its original speed. What is the s
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Answer:

20kph

Step-by-step explanation:

10 * 2 = 20

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