MATHEMATICS HIGH SCHOOL

If a sprinkler waters 1 over 12 of a lawn in 1 over 2 hour, how much time will it take to water the entire lawn? 7 over 12 hour, 1 over 6 hour, 6 hours, 10 hours

Answers

Answer 1
Answer:

Using proportions, it is found that it takes 6 hours to water the entire lawn.

  • This question is solved by proportions, using a rule of three.
  • The sprinkler waters (1)/(12) of the lawn in (1)/(2) of an hour. How long it takes to water the entire lawn, which is equivalent to 1?

The rule of three is:

(1)/(12) lawn - (1)/(2) hour

1 lawn - x hours

Applying cross multiplication:

(1)/(12)x = (1)/(2)

2x = 12

x = (12)/(2)

x = 6

It takes 6 hours to water the entire lawn.

To learn more about proportions, you can take a look at brainly.com/question/24372153
Answer 2
Answer:

Answer:

The person on top has a low score but he is right i did the test

Step-by-step explanation:

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Find the root y=x^2-8x+15

Answers

Answer:

{3, 5}.

Step-by-step explanation:

y = x^2 - 8x + 15

(x - 5)(x - 3) = 0

x - 5 = 0 or x - 3 = 0

So the roots are {3, 5}.

What is the 6th term in the geometric sequence described by this explicit formula ?

Answers

Answer:

the answer is d. -5120

Step-by-step explanation:

a_(n) =-5(4)^(n-1)\na_(6)=-5(4)^(6-1) \na_(6)=-5(4)^(5) \na_(6)=-5(1024)\na_(6)=-5,120

the population of China is about 1.4 x 10 to the power of 9 people. Julie grew up in a town with a population of about 7,000 people. How many times greater is the population of China than Julie's hometown? Please answer this in scientific notation.​

Answers

Answer:

  • 2 x 10^5

Step-by-step explanation:

Given

  • Population of China = 1.4 x 10^9
  • Population of town = 7000 = 7 x 10^3

The difference in population

  • 1.4 x 10^9 / 7 x 10^3 =
  • 14 x 10^8 / 7 x 10^3 =
  • 2 x 10^5

The population of China is 0.2 million times greater than the population of Julie's hometown.

What is the population?

To find out how many times greater the population of China is than Julie's hometown, we can set up a ratio using scientific notation:

Population of China = 1.4 x 10⁹

Population of Julie's hometown = 7,000 = 7 x 10³

Ratio = Population of China / Population of Julie's hometown

Ratio = (1.4 x 10⁹) / (7 x 10³)

Now, divide the numbers and subtract the exponents of 10:

Ratio = 2 * 10^((8 - 3))

Ratio = 0.2 x 10⁶

So, the population of China is 0.2 million times greater than the population of Julie's hometown.

Learn more about population here: brainly.com/question/29885712

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Determine which relation is a function. A.{(–4, 3), (–2, 3), (–1, 2), (2, 5), (3, 2)}

B.{(–4, 1), (–2, 3), (–2, 1), (–1, 5), (3, 2)}

C.{(–4, 1), (–2, 3), (–1, 2), (3, 5), (3, 2)}

D.{(–4, 1), (–2, 3), (–1, 1), (–1, 5), (3, 2)}

Answers

The A is a function, because all the values of the independent variable (the first value of the ordered pairs) are related to only one value, i.e. have only one image.

In B - 2 has two different images: 3 and 1. That makes that this is not a function.

In C, 3 has two different images: 5 and 2. That makes that this is not a function.

In D, - 1 has two different images: 1 and 5. That makes that this is not a function.

Does the following equation have an answer?2n²=m √m=o {n ∈ N*} {o ∈ N*} {m ∈ N*}
It had wondering for days...

Answers

We see that n is in the set of natural numbers (1,2,3,4,5,...), so of course m should be in the natural numbers. However, we see that 2n^2, when square rooted, is n√(2). With n in the natural numbers, the square root of m, or o, can never be a natural number but is always an irrational number. Therefore, this equation has no solutions.

What is the value of i^97 - i

Answers

if\ i\ is\ the\ imaginary\ unit\ (i=√(-1)\Rightarrow i^2=-1):\n\ni^(97)-i=i(i^(96)-1)=i(i^(48\cdot2)-1)=i[(i^2)^(48)-1]=i[(-1)^(48)-1]\n\n=i(1-1)=i\cdot0=0\n\ntherefore\ \boxed{i^(97)-i=0}

this can also be explained as b on edg
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