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3 years ago

Write the power in words and as a product. 12^5

Mathematics

1 answer:

sukhopar [10]3 years ago

6 0

Answer:

12 to the 5th power and is it 248,832

Step-by-step explanation:

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Find the derivative of sinx/1+cosx, using quotient rule

Mrrafil [7]

Answer:

f'(x) = -1/(1 - Cos(x))

Step-by-step explanation:

The quotient rule for derivation is:

For f(x) = h(x)/k(x)

$f'(x) = \frac{h'(x)*k(x) - k'(x)*h(x)}{k^2(x)}$

In this case, the function is:

f(x) = Sin(x)/(1 + Cos(x))

Then we have:

h(x) = Sin(x)

h'(x) = Cos(x)

And for the denominator:

k(x) = 1 - Cos(x)

k'(x) = -( -Sin(x)) = Sin(x)

Replacing these in the rule, we get:

$f'(x) = \frac{Cos(x)*(1 - Cos(x)) - Sin(x)*Sin(x)}{(1 - Cos(x))^2}$

Now we can simplify that:

$f'(x) = \frac{Cos(x)*(1 - Cos(x)) - Sin(x)*Sin(x)}{(1 - Cos(x))^2} = \frac{Cos(x) - Cos^2(x) - Sin^2(x)}{(1 - Cos(x))^2}$

And we know that:

cos^2(x) + sin^2(x) = 1

then:

$f'(x) = \frac{Cos(x)- 1}{(1 - Cos(x))^2} = - \frac{(1 - Cos(x))}{(1 - Cos(x))^2} = \frac{-1}{1 - Cos(x)}$

4 0

3 years ago

G/2h + 3f = k <br> Solve for g

Mama L [17]

Answer: if i did this correctly its {x,y} = {3,6}

Step-by-step explanation:

6 0

4 years ago

−9x (5x+4 ) +10 (x+3) can someone please solve his for me thank u step by step please i really need to find out how to do it

Ivahew [28]

Answer:

-45 $x^{2}$ -26x+30

Step-by-step explanation:

So first you let's divide this equation into three parts.

Part one -9x(5x+4)

Step one: you have to distribute the -9x to the numbers in the parentheses. That would leave us with a -9x*5x = -45 $x^{2}$ and -9x*4 = -36x
Step two: Put the answers together. That would leave us with -45 $x^{2}$ -36x.

Part two 10(x+3)

Step one: you have to distribute the 10 to the numbers in the parentheses. That would leave us with a 10*x = 10x and 10*3 = 30
Step two: Put the answers together. That would leave us with 10x+30

Part three solve

Step one: combine and put together what you have solved for. That would leave us with a -45 $x^{2}$ -36x+ 10x+30
Step two: combine like terms. The like terms here are -36x and 10x. When you combine them you would get -26x.
Step three: Write the equation in standard form. Therefore the answer is -45 $x^{2}$ -26x+30.

Let me know if anything is confusing!

5 0

3 years ago

A silo is in the shape of a cone. The silo is 7 meters tall, and its base has a radius of 1.5 meters. Rice costs 204$ per cubic

olganol [36]

Answer:

$3364.65

Step-by-step explanation:

The volume of the cone is given by the formula ...

V = (1/3)πr²h

Filling in the given numbers, we find the volume to be ...

V = (1/3)π(1.5 m)²(7 m) = 5.25π m³ ≈ 16.49336 m³

The cost of the rice will be the product of this volume and the price per cubic meter:

cost = (16.49336 m³)($204/m³) = $3364.65

The cost of the rice necessary to fill the volume is $3364.65.

_____

<em>Comment on pi</em>

If you use the value 3.14 for pi, the cost comes to $3362.94. A 3-digit value of pi only gives an answer good in its first 3 digits.

3 0

3 years ago

A planet's radius is approximately 1,534 mi. About two-thirds of the planet's surface is covered by water.

borishaifa [10]

Answer:

ok so the earth radius is 1534mi so if that is the radius than the area is 7.39×10^6so then you divide that into 3 pieces so each piece would be 2,463,333.3333 the nearest million would be 2,000,000

Step-by-step explanation:

6 0

3 years ago