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If you are multiplying whole numbers together, the number of zeroes at the end of the numbers will tell you, when added together, the number of zeroes at the end of the answer.

Since 9000 has 3 zeroes at its end and 600,000 has 5 zeroes at its end there will be 8 zeroes at the end of the answer (3 + 5 = 8). 

In front of the 8 zeroes the digits will be whatever 9 x 6 is.

$${\mathtt{9\,000}}{\mathtt{\,\times\,}}{\mathtt{600\,000}} = {\mathtt{5\,400\,000\,000}}$$

Every two negative numbers when multiplied together will result in a positive number. 

Therefore an odd number of negative numbers multiplied together will result in a negative number while an even number of odd numbers will result in a positive number.

Multiplying by a positive number never changes the sign.

So ask yourself, are there an even number of negative numbers (giving a positive answer) or an odd number of negative number (giving a negative answer).

If you want to estimate what your answer should be, try these ideas:

Round 361 to 300 and 106 to 100; when you multiply 300 x 100, your answer is 30,000 (with the number of zeroes in the answer the same as the total number of zeroes in the problem).

If you round 361 to 400 and 106 to 100, the answer is approximately 40,000.

So, the answer must be between 30,000 and 40,000.

If you round 361 to 360 and 106 to 100, your answer should be close to (but larger than) 36,000.

Also, since the last two digits in the problem are 1 and 6, your answer must end in 6.

Mental extimates can find errors in entering number, such as not entering a digit.

One Plus One Is Two

1+1=2

Your "parentheses" first solution is correct.

However, there is a mistake in the your solution using the distributive property.

(1*1 - 1) * (-1)

Multiply the -1 times the first term 1*1

keep the subtraction sign where it is

and multiply the -1 times the second term 1.

This becomes: (1 * 1 * -1) - (1 * -1)

which is    ( -1 ) - (-1 )

which is    -1 + 1 = 0.

When you multiply a*b*c by 3, just use the 3 only once: answer: 3*a*b*c.

In your problem, when you multiplied 1*1 * -1, you used the -1 twice; don't do that; use it only once; therefore 1*1*-1 = -1*1*1 = -1.

Make certain that your calculator is in degree mode.

Do: 2nd sin to get sin^-1

2nd sin( 0.33) = 19 degrees (approximately)

Possibly --

Isn't the vertical radius (v) the same as the radius (r)?

Do you know where the horizontal object is balanced on the circle? Is it balanced in the middle?

If it is balanced in the middle then its length from the center to the left edge is n/2.

There is a right triangle formed from the center of the circle to the top of the circle to the left end of the object.

Call the distance from the center to the left end d.

Then use the Pythagorean Theorem; d represents the length of the hypotenuse; so d^2 = v^2 + (n/2)^2.

Thus d^2 - v^2 = (n/2)^2.

---> n/2 = sqrt( d^2 - v^2 )

---> n = 2 * sqrt( d^2 - v^2 )

Just type in x in the blank space and x would appear.

Poor rosala. Wished that she had slept more.

And my friends Stephanie won't come after I told her millions of times.

But hope you get A++ on your tests!

It will never be. Math is never stupid, and God said it is not because he made math and numbers! So, because you have to think, you think that it is stupid. So change your mind because you can't live without video games, and that involves math! 

Because it's a small sample size, use a t-test.

Formula: t = (x-bar - mean) / (s / sqrt(n) )

From table of t-values: t = +/- 2.977 (use df = 14, two tails)

2.977 = (x-bar - 52) / (3.2 / sqrt(15) ) --> x-bar = 54.5

-2.977 = (x-bar - 52 ) / ( 3.2 / sqrt(15) --> x-bar = 49.5

Let the two numbers be x and y.

"The sum of two numbers is 41" becomes x + y = 41.

"the difference is 17" becomes x - y = 17.

Write one equation under the other:

x + y = 41

x - y = 17

Add down the three columns to get 2x + 0 y = 58.

So 2x = 58 means x = 29.

29 + y = 41 means y = 12

OK...we have

x + y =41    and

x - y = 17   adding the two equations, we have

2x = 58   divide by two on both sides

x = 29

And, using the first equation to find y, we have

29 +  y = 41     subtract 29 from both sides

y = 12

And that's it......x = 29 and y = 12   !!!!

Am apple is am fruit that grows on am tree. It am usually picked about this time in the US.

Am apple is also am computer. Just remember that one am edible and the other am not!!!

That's wot I know about this........

Yes we always must Chris. 

The x component is given by (290N)cos(33°) = about 243.2N

We need to solve the inequality

x² + x -20 > 0

In these cases, I usualy like to just set this up as an equality and find some "test" points !!!

So we have

x² + x -20 = 0    and factoring, we have

(x + 5) (x -4) = 0      and setting each factor to  0, we have that x = - 5  and x = 4

This tells us that the possible solutions come from these intervals (-∞, -5), (-5, 4) or (4,∞)...usually, in these quadratic inequalities, if the middle interval "works," the two "outside" intervals don't - or vice-versa !!!

Let's pick a point in the interval (-5, 4) and see if it "works" in the original problem - I always like "0"

So we have

(0)² + (0) - 20 > 0     and that clearly isn't true

So...my 'guess' is that the solutions come from the intervals (-∞, -5) and (4,∞)

Here's the graph of y = x² + x - 20

If we have

y = 4cosx -1

This is the normal cosine graph with an amplitude of 4 that is shifted "down" one unit. Thus, the normal cosine graph is shifted "down' by one unit and "stretched" vertically.

when a number is to a negative power it is equal to 1 over that number to a positive power,

ex:

$${{\mathtt{5}}}^{-{\mathtt{2}}} = {\frac{{\mathtt{1}}}{{{\mathtt{5}}}^{{\mathtt{2}}}}} = {\frac{{\mathtt{1}}}{{\mathtt{25}}}}$$

We need to solve the inequality

-6x - 12 > 0   add 12 to both sides

-6x > 12     divide both sides by -6 and reverse the direction of the inequality sign

x < -2

Well, if we have a 110 gram alloy that contains 16%  copper, then there must be .16 * 110 = 17.6 g of copper in the alloy

And if we have a 210 gram alloy that contains 64% copper, then there must be .64 * 210 = 134.4 g of copper in this alloy

So , the final mixture contains   (17.6 + 134.4)g of copper = 152g of copper

And the total final mixture of both alloys = (110 + 210) g  = 330g

And if 152g of this is copper...... then, 152 / 330 = about 46% is copper

I'll have to admit...this one threw me...just goes to show that we must always consider things from more than one "point of view."

Let's look at this one again

14+5n=-4n+17         add 4n to both sides

14 + 9n  = 17           subtract 14 from both sides

9n = 3                      divide both sides by 9

n = 3/9 = 1/3

Checking this in the original problem, we have

14 + 5(1/3) = -4(1/3) + 17

14 + 5/3 = -4/3 + 17

14 + 1 + 2/3   = -1 - 1/3 + 17

15 + 2/3  = 16 -1/3

15 + 2/3  = 15 + 2/3

So, 1/3 is our answer......

 l(x/2) + 7l > 6

We have two equations here

x/2 + 7 > 6             and       -(x/2 + 7) >6

Solving the first one, we have

x/2 + 7 > 6    subtract 7 from both sides

x/2 > -1         multiply both sides by 2

x > -2

And solving the second one, we have

-x/2 - 7 > 6   add 7 to both sides

-x/2 > 13      multiply both sides by -2 and change the direction of the equality sign

x < -26

Here's the graph of the solution using the graphs of the  two functions y = l x/2 + 7 l   and  y =6...