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2 years ago

1 + 1 + 1 in standard form

Mathematics

1 answer:

inn [45]2 years ago

6 0

Answer: 3

Step-by-step explanation:

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A tennis tournament has 2n contestants. We want to pair them up for the first round of singles matches. Show that the number of

ddd [48]

There are

$\dbinom{2n}2 = \dfrac{(2n)!}{2! (2n-2)!}$

ways of pairing up any 2 members from the pool of $2n$ contestants. Note that

$(2n)! = 1\times2\times3\times4\times\cdots\times(2n-2)\times(2n-1)\times(2n) = (2n-2)! \times(2n-1) \times(2n)$

so that

$\dbinom{2n}2 = \dfrac{(2n)\times(2n-1)\times(2n-2)!}{2! (2n-2)!} = \boxed{n(2n-1)}$

4 0

2 years ago

In 1967, New Zealander Burt Munro set the world record for an Indian motorcycle, on the Bonneville Salt Flats in Utah, with a ma

bagirrra123 [75]

Answer:49 sec

Step-by-step explanation:

Given

Maximum speed to reach is 183.58 mi/h

Length of course is 5 mi

acceleration rate is defined by 60mi/h in 4 sec

therefore acceleration(a) $=\frac{v-u}{t}$

$a=\frac{60\times 60\times 60}{4}$

$a=54\times 10^3 mi/h^2$

To reach a speed of 183.58mi/h with an acceleration of $54\times 10^3 mi/h^2$

Using equation of motion

v=u+at

$183.58=0+(54\times 10^3)t$

$t=\frac{183.58}{54\times 10^3}$

t=0.00339 hours

t=12.23 s reach maximum speed

To complete course it takes

$s=ut+\frac{1}{2}at^2$

$5=0+\frac{1}{2}\times 54\times 10^3 \times t^2$

t=0.01360 hour

or $t=48.98\approx 49 s$

7 0

3 years ago

The sum of twice a number and 15 is grater the 3

NNADVOKAT [17]

Answer:

x>-6

Step-by-step explanation:

The expression you need to solve for this is: 2x+15>3

For now pretend that the > is a = and solve as you normally would for x.

Subtract 15 from both sides

2x=-12

Divide by 2

x=-6

Put the > back in

x>-6

4 0

3 years ago

Can you choose any two distinct points on a line to calculate the slope? True or False?

marin [14]

True, u can choose any two distinct points on a line to calculate the slope

4 0

3 years ago

Read 2 more answers

Please help me asap.

KonstantinChe [14]

Answer:

Step-by-step explanation:

You can tell that the angles and length of the triangles are equal from the marks. For example, angle J has 2 lines on its angle so i looked for the other angle with 2 lines on it which happens to be angle S.

Comment if u dont understand

3 0

3 years ago