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yanalaym [24]
3 years ago
13

What is the square root of 3

Mathematics
2 answers:
Karolina [17]3 years ago
5 0
Ummmmmmmm I would say 9
icang [17]3 years ago
4 0

Answer: 9

Step-by-step explanation: Multiply 3 to itself and you will get nine.

3^2

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A particle moves along the x-axis so that at time t ≥ 0 its position is given by x(t) = 2t3 - 21t2 + 72t - 53. At what time t is
Zepler [3.9K]

Step-by-step explanation:

The particle is at rest when the derivative of x(t), which is its velocity, is zero, i.e.,

\dfrac{d}{dt}[x(t)] = \dot{x}(t) = 0

Since x(t) = 2t^3 - 21t^2 + 72t - 53, its derivative is

\dot{x}(t) = 6t^2 - 42t + 72

Equating this to zero, we get

6t^2 - 42t + 72 = 0 \Rightarrow t^2 - 7t + 12 = 0

This is a familiar quadratic equation whose roots are

t = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}

\;\;\;= \dfrac{7 \pm \sqrt{(7)^2 - 4(1)(12)}}{2}

\;\;\;= \dfrac{7 \pm 1}{2}

\;\;\;= 3\;\text{and}\;4

This means that the particle will be at rest at t = 3 and t= 4.

8 0
3 years ago
6,230 divided by 14 work shown
Naddik [55]
1. To convert the fraction to a decimal, divide the numerator by the denominator
6230/14

2. Calculate it
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4 0
4 years ago
What’s a median for geometry
LenaWriter [7]

Answer:

In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

3 0
4 years ago
Yahoo creates a test to classify emails as spam or not spam based on the contained words. This test accurately identifies spam (
Amiraneli [1.4K]

Answer and Step-by-step explanation:

The computation is shown below:

Let us assume that

Spam Email be S

And, test spam positive be T

Given that

P(S) = 0.3

P(\frac{T}{S}) = 0.95

P(\frac{T}{S^c}) = 0.05

Now based on the above information, the probabilities are as follows

i. P(Spam Email) is

= P(S)

= 0.3

P(S^c) =  1 - P(S)

= 1 - 0.3

= 0.7

ii. P(\frac{S}{T}) = \frac{P(S\cap\ T}{P(T)}

= \frac{P(\frac{T}{S}) . P(S) }{P(\frac{T}{S}) . P(S) + P(\frac{T}{S^c}) . P(S^c) }

= \frac{0.95 \times 0.3}{0.95 \times 0.3 + 0.05 \times 0.7}

= 0.8906

iii. P(\frac{S}{T^c}) = \frac{P(S\cap\ T^c}{P(T^c)}

= \frac{P(\frac{T^c}{S}) . P(S) }{P(\frac{T^c}{S}) . P(S) + P(\frac{T^c}{S^c}) . P(S^c) }

= \frac{(1 - 0.95)\times 0.3}{ (1 -0.95)0.95 \times 0.3 + (1 - 0.05) \times 0.7}

= 0.0221

We simply applied the above formulas so that the each part could come

8 0
3 years ago
A cube fits perfectly in a sphere. If the cube has a side length of 10cm, what is the volume of the sphere? Round your answer to
AnnyKZ [126]

Answer:

500 /3 pi cm^3

Step-by-step explanation:

The side length of the cube is 10 cm, so the diameter of the sphere is 10 cm

That means the radius is  

r =d/2 =10/2 = 5 cm

The volume of a sphere is

V = 4/3 pi r^3

  = 4/3 pi (5)^3

  = 500 /3 pi cm^3

3 0
3 years ago
Read 2 more answers
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