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how much greater is 22 exponent 7 than 22 exponent 4

22^7 / 22^4 =22^(7-4)=22^3

Find the derivative of the following via implicit differentiation:
d/dx(f(x)) = d/dx(4 (11+x^3))
The derivative of f(x) is f'(x):
f'(x) = d/dx(4 (11+x^3))
Factor out constants:
f'(x) = 4 (d/dx(11+x^3))
Differentiate the sum term by term:
f'(x) = 4 d/dx(11)+d/dx(x^3)
The derivative of 11 is zero:
f'(x) = 4 (d/dx(x^3)+0)
Simplify the expression:
f'(x) = 4 (d/dx(x^3))
Use the power rule, d/dx(x^n) = n x^(n-1), where n = 3: d/dx(x^3) = 3 x^2:
f'(x) = 4 3 x^2
Simplify the expression:
f'(x) = 12 x^2
Expand the left hand side:
Answer: |f'(x) = 12 x^2

Anything to the 2nd power is x*x. Anything to the 3rd power is x*x*x, and so on. If you want to do it in a calculator use shift 6 (the carot symbol.)

P.S. x is the number

12x^2

yes thank you

NO! for example, cos(3^2) = 0.987688340595

While cos(3)^2 = 0.9972609476849878 

The first is really cos(9)

while the second is cos(3)cos(3)= 0.998629534755^2

Answer is 1.

Think about it for a second.First find out what 10+10 is then subtract 1.

pipi = 9.8696044010893586

Byeeeeeeeeeeeee

whats the reciprocal of -3 2/7

-3 2/7 = -23/7. Its reciprocal is = - 7/23

    〖(0.5 x 0.5)〗^149916=3.75266742348074730943951578121 x 10^-90259

The same 

If you meant the joke than -> 21

Solve:  1.33 · sin(30)  =  1.00 · sin(x)

As with any equation, clean up all the numbers:

             1.33 · 0.50  =  1.00 · sin(x)

                      0.665  =  sin(x)

                      sin(x)  = 0.665

To get rid of sin, use the inverse sin (which is sin^-1):

          sin^-1( sin(x) )  =  sin^-1( 0.665 )

Since  sin^-1( ) cancels sin( ):

                             x  =  sin^-1( 0.665 )

                             x  =  41.68^o

First put the two into a common denominator (9 x 6)

then multiply the numerator by a number that will give you the LCD (lowest common denominator)

ex.  9 x 6 = 54

       9 x what =54 /54 +  6 x what =54 /54

       6/54 + 9/54

       9+6 = 15 (over 54)

       15/54

15/54 is the answer, since it can not be simplified.

1 1/2,   2 2/3,  4 7/9,  12 3/5,  9 1/6,  4 6/7,  11 2/8,  7 5/7,  14 3/8,   2 1/5..........etc. 

Press "2nd" in the top left hand corner. You should see "asin", "acos" and "atan". They are the same as inverse sin, cos, tan. Always press = key to get the result you want.

Solve for x:
(5 x)/(6)-3/8 = (5 x)/12+11/24

Put each term in (5 x)/(6)-3/8 over the common denominator 24: (5 x)/(6)-3/8 = (20 x)/24-(9)/24:
(20 x)/24-(9)/24 = (5 x)/12+11/24

(20 x)/24-(9)/24 = (20 x-9)/24:
(20 x-9)/24 = (5 x)/12+11/24

Put each term in (5 x)/12+11/24 over the common denominator 24: (5 x)/12+11/24 = (10 x)/24+11/24:
(20 x-9)/24 = (10 x)/24+11/24

(10 x)/24+11/24 = (10 x+11)/24:
(20 x-9)/24 = (10 x+11)/24

Multiply both sides by 24:
20 x-9 = 10 x+11

Subtract 10 x from both sides:
(20 x-10 x)-9 = (10 x-10 x)+11

20 x-10 x = 10 x:
10 x-9 = (10 x-10 x)+11

10 x-10 x = 0:
10 x-9 = 11

Add 9 to both sides:
10 x+(9-9) = 11+9

9-9 = 0:
10 x = 11+9

11+9 = 20:
10 x = 20

Divide both sides of 10 x = 20 by 10:
(10 x)/10 = 20/10

10/10 = 1:
x = 20/10

The gcd of 20 and 10 is 10, so 20/10 = (10×2)/(10×1) = 10/10×2 = 2:
Answer: |x = 2

please answer i have test in 2 days

Sorry i wrote 6 in the first line excidentaly, i meant 61.

Sorry i wrote 6 in the first line excidentaly, i meant 61.

6/9/15/4=

=(61*4)/(9*15)=

=244/135=

=1.8 or 9/5

Calum's car was written off as a result of hail damage in a sudden and severe local storm. His interstate cousin Jessica also had to replace her car after flood damage. Both needed to borrow the same amount of money. Calum was able to get a flat rate loan at 10% p.a. for 8 years. Jessica will end up paying the same amount of interest as Calum but her loan has a simple interest rate between 10% and 20% p.a. and will need to be repaid over a shorter period of time. Find possible values for the interest rate and period of Jessica's loan. Pls help me.

Your question is all confused.

When you borrow money, the most important thing to know is:"How much money are you borrowing?". You state nothing about that!. So, will just have to assume a certain amount to replace their cars:

Will assume that both of them will borrow $25,000.

In the case of Calum, the accurate way of paying off this loan is to break it into regular monthly payments, which will be =$379.35 per month. He will pay this each and every month for 8 years or 96 months. So, the total interest that he will pay will be=($379.35 x 96 - $25,000 =$11,417.60.)

In the case of Jessica, since she has to pay the same amount of interest, she can spread it over a period of 3 years, paying =$11,417.60 / 3 =$3,805.87 per year, or $3,805.87 / 12=$317.16 per month. This works out to be about 15.22% simple interest per year. But, in addition to the interest payment, she has to pay $694.44 per month in principal, so that her total monthly payment will be:

$694.44 + $317.16 =$1,011.60 per month in pricipal plus interest, which would be quite expensive for her carry for 3 years. This is only ONE scenario. You could try 4 or 5 years and see what figures you get, if you understood all this.

You don't really know what you are talking about, do you?

Investing $100,000 in S&P stocks depends on the overall performance of the S&P stock Index in any particular period!!. You could make or LOOSE money!

0.3333333333.........etc. = 1/3