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4 years ago

14

Usain Bolt ran 100 meters in 9.63 seconds in the 2012 Olympics.

1 answer:

Novay_Z [31]4 years ago

4 0

He ran 1 meter in about .10 seconds

Hope this helps!

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Please Help me solve this

zimovet [89]

42 divided by 5 is actually 8.4 however u cant have .4 of a rock so the answer is that each friend gets 8 rocks( including him)

3 0

3 years ago

Read 2 more answers

Solve 2x<10. Explain how to find the solution set.

victus00 [196]

Answer:

X<5

Step-by-step explanation:

Divide by 2

7 0

3 years ago

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Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not exact, enter NOT.) (tan(x) −

never [62]

Answer:

$f(x,y)=ln secx+cosx siny+C$

Step-by-step explanation:

We are given that DE

$(tanx-sinx siny)dx+cosxcosydy=0$

We have to determine given DE is exact or not.

Compare it with Mdx+Ndy=0

$M=tanx-sinx siny$

$N=cosxcosy$

$\frac{\partial M}{\partial y}=$ $M_y=-sinxcosy$

$\frac{\partial N}{\partial x}=N_x=-sinxcosy$

Therefore, $M_y=N_x$

If DE is exact then $M_y=N_x$

Hence,it is exact.

$M=\frac{\partial f}{\partial x}=tanx-sinxsiny$

Integrate w.r.t x on both sides

$f(x,y)=\int(tanx-sinxsiny)dx$

$f(x,y)=lnsecx+cosxsiny+\phi(y)$ ...(1)

By using the formula

$\int tanxdx=lnsecx+C,\int sinxdx=-cosx+C$

Differentiate partially equation (1) w.r.t y

$\frac{\partial f}{\partial y}=cosxcosy+\phi'(y)$

By using the formula:

$\frac{d(sinx)}{dx}=cosx$

$N=\frac{\partial f}{\partial y}=cosxcosy=cosxcosy+\phi'(y)$

$\phi'(y)=cosxcosy-cosxcosy=0$

$\phi'(y)=0$

Integrate w.r.t y

$\phi(y)=C$

Substitute the value

$f(x,y)=ln secx+cosx siny+C$

7 0

3 years ago

£90 was spent on a new chair for an office. This represented 6% of the total spent on furniture. How much was spent on furniture

ad-work [718]

Answer:

£1500

Step-by-step explanation:

$\frac{100}{6} \times 90 = 1500$

8 0

3 years ago

(8 x 104) (4.5x 10-1) =

Rashid [163]

$\tt{}(8 \times 104)(4.5 \times 10 - 1)$

$\tt{}(832)(45 - 1)$

$\tt{}(832)(44)$

$\tt{}832 \times 44$

$\tt{}36608$

3 0

3 years ago