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3 years ago

How do you prove by induction?

1 answer:

6 0

Induction in math has two steps. First step is to prove it is true for the first one. Then Step two is to show that if any one is true then the next one is true.

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❗️❗️EASY 10 points HELP ME ❗️❗️There

Sliva [168]

Answer:

1/2

Step-by-step explanation:

since there are 5 yellow pieces that is half of the game pieces

6 0

3 years ago

the sales tax on the purchase of new fishing boat is $112 and the sales tax rate is 2%. What is the purchase price?

Korolek [52]

114.24 I think but I’m not sure

5 0

3 years ago

5) Placido pulls a rope attached to a wagon through a pulley at a rate of q m/s. With dimension as in Figure 5:

Damm [24]

The formula for the speed of the wagon can be found by using Pythagoras theorem, and chain rule of differentiation.

$(a) \ \mathrm{The \ speed \ of \ the \ wagon} , \ \dfrac{dx}{dt} = q -\dfrac{x}{\sqrt{x^2+ 5.76}}$

(b) When x = 0.6 and q = 0.5 m/s, the speed of the wagon is approximately 0.243 m/s.

Reasons:

(a) The distance from the cart to the pulley, r is given by Pythagoras's

theorem as follows;

r = √((3 - 0.6)² + x²) = √(2.4² + x²)

The speed of the wagon = $\mathbf{\dfrac{dx}{dt}}$

The speed of the rope, q = $\mathbf{\dfrac{dr}{dt}}$

By chain rule, we have;

$\dfrac{dr}{dt} = \mathbf{\dfrac{dr}{dx} + \dfrac{dx}{dt}}$

$\dfrac{dr}{dx} = \dfrac{x}{\sqrt{x^2+ 5.76}}$

Therefore;

$\dfrac{dr}{dt} = q =\dfrac{x}{\sqrt{x^2+ 5.76}}+ \dfrac{dx}{dt}$

$\mathrm{The \ speed \ of \ the \ wagon} , \ \dfrac{dx}{dt} = \underline{ q -\dfrac{x}{\sqrt{x^2+ 5.76}}}$

(b) The speed of the wagon when x = 0.6 if q = 0.5 m/s is given as follows;

$\dfrac{dx}{dt} = 0.5 -\dfrac{0.6}{\sqrt{0.6^2+ 5.76}} =\sqrt{\dfrac{1}{17} } \approx 0.243$

The speed of the wagon when x = 0.6 and q = 0.5 m/s, $\dfrac{dx}{dt}$ ≈ 0.243 m/s

Learn more here:

brainly.com/question/17081984

4 0

2 years ago

Which line is NOT parallel to NF

AysviL [449]

That would be the line MI.

Choice A.

3 0

3 years ago

What is the mean of 22,37,49,15,82?

Alex73 [517]

Mean = ( 22 + 37 + 49 + 15 + 82 ) / 5
= 41

Hope this helps :)

6 0

4 years ago

Read 2 more answers