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4 years ago

Could any of y'all help me?

Mathematics

1 answer:

Scorpion4ik [409]4 years ago

5 0

Start using calculator

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Courtney biked 8 laps around a park. The app on her phone showed she biked 11.12 miles. What is the constant of proportionality

Ad libitum [116K]

Answer:

1.39/1

Step-by-step explanation:

the answer can be explained by dividing the distance covered by thebiker to the number of laps covered by the same. This gives us the ratio of distance per unti lap for the biker.

11.12 miles divided by 8 gives us= 1.39

7 0

4 years ago

Pls help me on number 14

inn [45]

4,498,250,098

Hope that helped:D

7 0

4 years ago

Tell the numbers that are odd and composite 2,14,23,24,25,31,45

fredd [130]

The odd numbers r 2,23,31 and the composite numbers r 14,24,25,45

4 0

3 years ago

Y=x.arctan(x)^1/2. find dy/dx. pls show steps

Whitepunk [10]

$y=x(\arctan x)^{1/2}$

Use the product rule first:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dx}{\mathrm dx}(\arctan x)^{1/2}+x\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}$

$\dfrac{\mathrm dy}{\mathrm dx}=(\arctan x)^{1/2}+x\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}$

Use the chain rule to compute the derivative of $(\arctan x)^{1/2}$ . Let $z=(\arctan x)^{1/2}$ and take $u=\arctan x$ , so that by the chain rule

$\dfrac{\mathrm dz}{\mathrm dx}=\dfrac{\mathrm dz}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx}$

$\dfrac{\mathrm dz}{\mathrm du}=\dfrac{\mathrm du^{1/2}}{\mathrm du}=\dfrac12u^{-1/2}$

$\dfrac{\mathrm du}{\mathrm dx}=\dfrac{\mathrm d\arctan x}{\mathrm dx}=\dfrac1{1+x^2}$

$\implies\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}=\dfrac1{2(\arctan x)^{1/2}(1+x^2)}$

So we have

$\dfrac{\mathrm dy}{\mathrm dx}=(\arctan x)^{1/2}+\dfrac x{2(\arctan x)^{1/2}(1+x^2)}$

You can rewrite this a bit by factoring $(\arctan x)^{-1/2}$ , just to make it look neater:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac1{2(\arctan x)^{1/2}}\left(2\arctan x+\dfrac x{1+x^2}\right)$

3 0

3 years ago

Which of the following sets of numbers could represent the three sides of a right triangle?

Sindrei [870]

Answer:

32 60 68

Step-by-step explanation:

These set of numbers are pythagorean triplets

using the formula a2+b2 =c2 with these numbers would give you an accurate relationship in a right angled triangle

4 0

4 years ago