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If you dividing two numbers with exponets, and these numbers have the same base, (which is 4 here) you can subtract the exponets.

So, worked out, we have:

$$4^{30} \div 4^6$$

$$4^{30-6}$$

$$\mathbf{4^{24}}$$

Never  in your entire life will you use scientific notation!

The series is given by:

7(1.1)^n-1  

So the 4th term is

7(1.1)^4-1 =

7(1.1)³ = 9.317

I would say "iii) always smaller"

Say you had 9 and you divided that number by 6 (a number bigger than 1)

You would get 1.5, which is smaller than 9.

Say you had a number bigger than 9 though, like 100,000. You still get a number smaller than 9, because you get 0.00009.

I would argue any other number that you divide 9 by would be smaller than 9.

the answer is 12 remainder  155

I am not sure I understand the question.???

Well, 1190 is divisible by a couple things.

1190 is divisible by 119 and 10.

1190 is also divisible by 17 and 70.

This looks like the quadratic formula if I've ever seen one. :)

I'm thinking this is what you mean:

$$\sqrt{(-10)^2 -4(1)(26)$$

$$\sqrt{100-(4)(26)$$

$$\sqrt{100-104}$$

$$\sqrt{-4}$$

We can't take the square root of a negative number, it doesn't make any sence! What we do then is break this down into √-1 x √4, and we just express √-1 as i. "i" stands for imaginary number. We just call √-1 "imaginary."

$$\sqrt{-1}\times\sqrt{4}$$

$$i \times \sqrt{4}$$

The square root of 4 is 2:

$$i \times 2$$

Which we write as:

$$2i$$

There you go! you answer is 2i.

2, 4, 6, 8 10, 12.......

The sum of the first n numbers is given by:  (n)*(n+1)

So, the sum of the first 20 numbers is: (20)*(21)  = 420

It is 18, 3-(-15)

Becaus there are two negative signs in a row, they cancel out and make a positive!

Scientific notation is usefull for when your dealing with really, really, big or small numbers.

Say you we're dealing with something like the number of hydrogen atoms in the sun.

There is thought that is is aproximatly 1.19 x 10⁵⁷ hydrogen atoms in the sun.

Say, hypothetically that you knew there was 1.1 x 10^-2 grams of mass in each hydrogen atom.

What is the mass of the sun?

Well, it is much easier to solve this question with scientific notation.

Of coarce, with many things in math, you will probably not directly apply alot of the things you learn to your given field of work, but it's still good things to learn.

X equals 30/23

thanks!!! (*^ ^*)

Fis equal to

2

The LCM of 45 and 25 is 225. By Landry

(x(-4)+10)/2+3x-12+(-10)+32    so we have

(40(-4) + 10) / 2 + 3(40) - 12 - 10 + 32 =

(-160 + 10)/2 + 3(40) - 12  - 10 + 32 =

(-150)/2 + 120 - 12 - 10 + 32 =

-75 + 120 - 12 -10 + 32 =

45 - 12 -10 + 32 =

33 - 10 + 32 =

23 + 32 =

55

Well, just put in 40 for x, (because x = 40) and work it out.

(x(-4)+10)/2+3x-12+(-10)+32                 ---Put 40 in for x

(40(-4)+10)/2+3(40)-12+(-10)+32        

Now do all the operations inside parentheses, because parentheses comes first in the order of operations. If there is a number in from a set of parentheses ( like 40(-4) ) it means to do multiplication.

(-160+10)/2+3(40)-12+(-10)+32   

(-150)/2+3(40)-12+(-10)+32            

Now do all the multiplication and division. We do this because this comes next in the order of operations.

(-150)/2+3(40)-12+(-10)+32 

-75 + 120 - 12 + (-10) + 32             ---Plus -10 is the same thing as just -10:

-75 + 120 - 12 - 10 + 32                   ---Now just add and subtract from left to right

-75 + 120 - 12 - 10 + 32

45 -12 -10 +32

33 -10 +32

23 + 32

55

So the value of the expression is 55. :)

1/2f=-3     multiply both sides by 2

f = -6

(5/13) / (1/2) * (4/5)  =

(5/13) * (2/1) * (4/5)  =

40/65 =

8/13

1. 8 divided by a

2. s minus 10

3. x plus 13

4. a times b  plus 2

We have

(34 + 44 + 28 + x) / 4   = 35       multiply both sides by 4

(34 + 44 + 28 + x) = 140             simplify the left side

106 + x  = 140       subtract 106 from each side

x = 34

1.     A =  .10x         where A is the total amount and  x is the number of dimes

2.     N = 48 - x       where N is the number that remain after x number of marbles are taken away

3.    C = 8x              where C is the total cost and x is the price of each ticket

4.    C = 32.95x        where C is the total cost and  x is the number of pants purchased

Since you want to get the variable x by itself, multiply both sides by 4 to get rid of the denominator. Then, you should have 46+x=60. Subtract 46 from both sides of the equation in order to isolate the variable. You should now have x=60-46. Once you finish the subtraction, x=14.

The square root of 25/49 is 5/7 because you take the square root of the numerator and denominator seperately.