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inverse sine is the same as arc sine 

On this calc press the 2nd function then asin the your value.

Make sure it is set to degrees of radians as required.  This button is on the bottom left. :)

Pascals triangle 1 1 1 1 2 1 1 3 3 1                      1 4 6 4 1

$$\\(7x+8)^4\\
=(7x)^4+4*(7x)^3*8+6*(7x)^2*8^2+4*(7x)*8^3+8^4\\
=2401x^4+4*343x^3*8+6*49x^2*64+4*7x*512+4096\\
=2401x^4+10976x^3+18816x^2+14336x+4096\\

\begin{array}{rll}
x^2 +(2x+5)^2 +(7x+8)^4 &=&0\\
x^2 +4x^2+20x+25 +2401x^4+10976x^3+18816x^2+14336x+4096 &=&0\\
2401x^4+10976x^3+18821x^2+14356x+4121 &=&0\\
\end{array}$$

Now I have lost interest.

Here is your answer;

You can think of negative numbers as cold numbers.

here you are going to take cold out of a room.

If you take cold away won't it get hotter?  Yes it will!

so

12 - - 23 = 12+23

and you can finish it :)

Generally, with reapect to functions, the domain is the span of x values "covered" on a graph and the range is the span of y values covered. For instance.......in the graph of y = x^2........the domain is all real numbers and the range is from 0 to postive infinity.

I assume you want to find P(A')...this just equals 1  - P(A) = 1 - .43  = .57

What is the question?

40% of 1603.72=40/100*1603.72

you can do it on the site calc on the home page.  :)

There is no first term.  This is a number not an algebraic expression.  :)

When a number is followed by a letter in algebra, or when two letters are next to each other, there is always an invisable multiply sign between them.  And a multiply sign on the computer is given by a *

the * is used so that it is not confused with an x which is  often one of the letters (pronumeral)

so

$$5xy\;\;means\;\; 5\times x\times y$$

and if you do not know how to write this like I have, you would write it as

5xy=5*x*y

Does that help?

In graphing the rate of change is measured by the gradient.

In calculus the instantaneous rate of change at any specific point on the curve is given by the gradient of the tangent at that point which IS the first derivative.  :)

Why don't you google it and tell us the answer?  I would like to know if there is a reason too.  :)

gino has just replaced all the t's with x's.

He has only done this because it is much mor normal to see equations like this with an x  instead of a t.

There are no x'es in your question.  

$$\\height = -25t^2+75t+24\\
$The axis of symmetry will be at time $ t=\frac{-75}{2*-25}=t=\frac{3}{2}=1.5\;secs$$

So the ball will be at the maximum height after 1.5 seconds

there is an invisable decimal point behind the 8

you need to move it one place to make the number smaller.

The answer is  3.8     

You should google it.

I think in most places of the world a billion has 9 zeros.

But 

in some places it has 12 zeros.  

This is one reason that large ( and tiny) numbers are better written in scientific notation. :)

Scientific notation can not be misinterpreted. (At least not once you understand it)

$$1\div \frac{2}{3}=1\times \frac{3}{2} = \frac{3}{2}$$

P(A)=0.43

I know because it says so in the question.  

Square both sides:

4cos²x = sin²x + 2sinx + 1

Replace cos² by 1 - sin²

4(1 - sin²x) = sin²x + 2sinx + 1

Collect terms

5sin²x + 2sinx - 3 = 0

This can be written as

(sinx + 5/5)(sinx - 3/5) = 0  or (sinx + 1)(sinx - 3/5) = 0

So sinx = -1 and sinx = 3/5

This means x = asin(-1) = 3pi/2 (=270°)

and x = asin(3/5) ≈ 36.87°

Adding and subtracting multiples of 2pi (360°) to these also satisfies the original equation.

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$$\pm 5grams$$

Use the fact that $$\int{x^n}dx=\frac{x^{n+1}}{n+1}$$ as long as n ≠ -1.

So $$\int{(5x^2-5x+9)dx}=\frac{5x^3}{3}-\frac{5x^2}{2}+9x+k$$ where k is an arbitrary constant of integration.

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Deleted

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I think you need to know the height of the satellite here!

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Wrong, 1,000,000,000 is a milliard, 1,000,000,000,000 is a billion.

On the top right corner of the Calculator, there is a gray botton labeled "Scientific." Click on it, then scroll down to "Fractions."

2/5 x = -8/15

Divide both sides by (2/5) to isolate x: 

x = (-8/15) / (2/5)

$${\frac{{\mathtt{\,-\,}}\left({\frac{{\mathtt{8}}}{{\mathtt{15}}}}\right)}{\left({\frac{{\mathtt{2}}}{{\mathtt{5}}}}\right)}} = {\mathtt{\,-\,}}{\frac{{\mathtt{4}}}{{\mathtt{3}}}} = -{\mathtt{1.333\: \!333\: \!333\: \!333\: \!333\: \!3}}$$

x = -4/3