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3 years ago

Simplify the following expression. 7^-5/6*7^-7/6

Mathematics

1 answer:

klio [65]3 years ago

6 0

Answer:2.0068782e-12

Step-by-step explanation:

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What is the measure of PQR?

Lisa [10]

Answer:

PQRS is a quadrilateral and the measure of angle PQR is 70 degrees. According to the central angle theorem, that the angle inscribed on the circle is always half the measure of the central angle.

7 0

3 years ago

Daniella is solving 8/9 divided by 4. find her mistake and correct it.

Korolek [52]

Answer:

the answer is 2/9.

Step-by-step explanation:

8/9÷4

= 8/9 × 1/4

= 8/36

=2/9

6 0

3 years ago

A flag measures 110 feet by 55 feet. Find it’s area

Pani-rosa [81]

Answer:

6050

Step-by-step explanation:

Area = length * width

Area = 110 * 55

Area = 6050

4 0

3 years ago

Read 2 more answers

Find dy/dx by implicit differentiation for ysin(y) = xcos(x)

tatyana61 [14]

Answer:

$\frac{dy}{dx}=\frac{\cos(x)-x\sin(x)}{\sin(y)+y\cos(y)}$

Step-by-step explanation:

So we have:

$y\sin(y)=x\cos(x)$

And we want to find dy/dx.

So, let's take the derivative of both sides with respect to x:

$\frac{d}{dx}[y\sin(y)]=\frac{d}{dx}[x\cos(x)]$

Let's do each side individually.

Left Side:

We have:

$\frac{d}{dx}[y\sin(y)]$

We can use the product rule:

$(uv)'=u'v+uv'$

So, our derivative is:

$=\frac{d}{dx}[y]\sin(y)+y\frac{d}{dx}[\sin(y)]$

We must implicitly differentiate for y. This gives us:

$=\frac{dy}{dx}\sin(y)+y\frac{d}{dx}[\sin(y)]$

For the sin(y), we need to use the chain rule:

$u(v(x))'=u'(v(x))\cdot v'(x)$

Our u(x) is sin(x) and our v(x) is y. So, u'(x) is cos(x) and v'(x) is dy/dx.

So, our derivative is:

$=\frac{dy}{dx}\sin(y)+y(\cos(y)\cdot\frac{dy}{dx}})$

Simplify:

$=\frac{dy}{dx}\sin(y)+y\cos(y)\cdot\frac{dy}{dx}}$

And we are done for the right.

Right Side:

We have:

$\frac{d}{dx}[x\cos(x)]$

This will be significantly easier since it's just x like normal.

Again, let's use the product rule:

$=\frac{d}{dx}[x]\cos(x)+x\frac{d}{dx}[\cos(x)]$

Differentiate:

$=\cos(x)-x\sin(x)$

So, our entire equation is:

$=\frac{dy}{dx}\sin(y)+y\cos(y)\cdot\frac{dy}{dx}}=\cos(x)-x\sin(x)$

To find our derivative, we need to solve for dy/dx. So, let's factor out a dy/dx from the left. This yields:

$\frac{dy}{dx}(\sin(y)+y\cos(y))=\cos(x)-x\sin(x)$

Finally, divide everything by the expression inside the parentheses to obtain our derivative:

$\frac{dy}{dx}=\frac{\cos(x)-x\sin(x)}{\sin(y)+y\cos(y)}$

And we're done!

5 0

2 years ago

A magician pulls 12 rabbits out of a hat.

pashok25 [27]

(12+13=25) (25+26=51) 51 is You're answer.
Hope this helps! :)

8 0

3 years ago

Read 2 more answers