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3 years ago

What is 6.92x10^-3 written in standard form?

Mathematics

1 answer:

bogdanovich [222]3 years ago

8 0

The answer Is 0.00692 written is standard form

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Kyle and Mark started at the same location. Kyle traveled 5 miles east, while Mark traveled 3 miles west. How far apart are they

marishachu [46]

Answer:

8 miles apart lol

Step-by-step explanation:

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3 years ago

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How do you simplify 4x^6/2x-6

Ahat [919]

4x^6 / (2x - 6)

4x^6 / 2(x - 3)

2x^6 / (x - 3)

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What is the value of the expression below (81^2)^1/8

emmasim [6.3K]

$\textsf{Hey there!}$

$\mathsf{81^2=81\times81\rightarrow\bf{6,561}}$

$\mathsf{(6,561)^{\dfrac{1}{8}}= \bf{3}}$

$\boxed{\boxed{\mathsf{Therefore, your\ answer\ is: \boxed{\huge\textsf{\bf{C. 3}}}}}}\huge\checkmark$

$\textsf{Good luck on your assignment and enjoy your day!}$

~ $\dfrac{\frak{LoveYourselfFirst}}{:)}$

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3 years ago

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Find the equation of the line tangent to the graph of

garik1379 [7]

Answer:

$\displaystyle y=\frac{2\sqrt{3}}{15}x+\frac{\pi-2\sqrt{3}}{6}$

Step-by-step explanation:

We want to find the equation of the line tangent to the graph of:

$\displaystyle y=\sin^{-1}\big(\frac{x}{5}\big)\text{ at } x=\frac{5}{2}$

So, we will find the derivative of our equation first. Applying the chain rule, we acquire that:

$\displaystyle y^\prime=\frac{1}{\sqrt{1-(\frac{x}{5})^2}}\cdot\frac{1}{5}$

Simplify:

$\displaystyle y^\prime=\frac{1}{5\sqrt{1-\frac{x^2}{25}}}$

We can factor out the denominator within the square root:

$\displaystyle y^\prime =\frac{1}{5\sqrt{\frac{1}{25}\big(25-x^2)}}$

Simplify:

$\displaystyle y^\prime=\frac{1}{\sqrt{25-x^2}}$

So, we can find the slope of the tangent line at x = 5/2. By substitution:

$\displaystyle y^\prime=\frac{1}{\sqrt{25-(5/2)^2}}$

Evaluate:

$\displaystyle y^\prime=\frac{1}{\sqrt{75/4}}=\frac{1}{\frac{5\sqrt{3}}{2}}=\frac{2\sqrt{3}}{15}$

We will also need the point at x = 5/2. Using our original equation, we acquire that:

$\displaystyle y=\sin^{-1}(\frac{1}{2})=\frac{\pi}{6}$

So, a point is (5/2, π/6).

Finally, by using the point-slope form, we can write:

$\displaystyle y-\frac{\pi}{6}=\frac{2\sqrt{3}}{15}(x-\frac{5}{2})$

Distribute:

$\displaystyle y-\frac{\pi}{6}=\frac{2\sqrt{3}}{15}x+\frac{-\sqrt{3}}{3}$

Isolate. Hence, our equation is:

$\displaystyle y=\frac{2\sqrt{3}}{15}x+\frac{\pi-2\sqrt{3}}{6}$

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3 years ago

Write an equation that represents the line. PLEASE HELP WILL GIVE 20 POINTS

zhenek [66]

Answer:

y=7/5x+7

Step-by-step explanation:

The slope is 7/5 and the y-intercept or b is 7.

Hope this helped :)

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3 years ago