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Gekata [30.6K]
3 years ago
11

Sovle the following inequality -3m + 18 < 30​

Mathematics
1 answer:
denis-greek [22]3 years ago
7 0

Answer:

m>-4

Step-by-step explanation: First subtract 18 from both sides, then simplify 30-18, which equals 12. Divide both sides by -3, and flip your sign.

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A stone is launched into the air from a height of 240 feet. The height, h, of the stone, in feet, t seconds after launch is give
rosijanka [135]

A projectile is an object <u>launched</u> into space, and moving under the <em>influence</em> of <u>gravity</u> and <u>momentum</u>. The <em>stone</em> here is an example. Thus, the <em>time</em> taken for the stone to reach the ground is 10 seconds.

On <em>launching</em> of the stone into <u>space</u>, it behaves as a <u>projectile</u>. Thus moving under the <em>influence</em> of gravity and its momentum. Its <u>momentum</u> is the <em>product</em> of its <u>mass </u>and <u>velocity</u>.

The height h, is given as:

h = 16t^{2} + 32t + 240

Differentiating the expression with respect to t, we have;

32t + 32 = 0

t = -1 seconds

Substitute the value of time, t, in the equation for the height;

h = 16 - 32 + 240

  = 224

h = 224 m

Total height, S = 240 + 224

                         = 464

S = 464 m

The total height covered by the stone is 464 m.

From the second equation of <em>free fall</em>,

S = Ut + \frac{1}{2}gt^{2}

S = \frac{1}{2}gt^{2}

464 = \frac{1}{2}*9.8*t^{2}

t^{2} = \frac{928}{9.8}

  = 94.694

t = \sqrt{94.694}

 = 9.7311

t ≅ 10 seconds

The <em>time taken</em> for the stone to hit the ground is 10 seconds.

Thus option A is the required answer.

Visit: brainly.com/question/13834669

7 0
2 years ago
What is the value of this expression when a= - 3 and b=-2?<br> (3a^-2b^6/2a^-1b^5)^2
lisabon 2012 [21]

Answer:

so lets just rewrite it with A=-3 amd B=-2

(-9^4^-9^2^5)^2

which is equal to... 1!

Hope This Helps!!!

7 0
2 years ago
Geometry. Unit 1. Lesson 5. (5.2: Make it Right) Use GeoGebra
Nata [24]

Answer:nnjjj

Step-by-step explanation:

4 0
3 years ago
How many ways can a librarian arrange 15 books on a top shelf if she has 20 books from which to pick?
Jlenok [28]
Use the permutation formula
nPr = (n!)/((n-r)!)
20P15 = (20!)/((20-15)!)
20P15 = (20!)/(5!)

The final answer is choice A

8 0
3 years ago
Read 2 more answers
A teacher wrote the numbers 10 ,-2, 4, 3, -1, -7 ,1 on a white board.the teacher asked which number should she write in order to
storchak [24]
Let x be that number:

x +10 -2 +4 + 3 - 1 - 7 +1 = 0

 x +8 = 0

and x = - 8

3 0
3 years ago
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