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it is 100x-1,000k

First, you have to imagine a 1 in front of the x. Next, you subtract 5x from 1x and you get 4x. Now you are left with 4x=-12, and all you is divide 4 on both sides and get x=-3. Hope this helps

the answer for 5x-x is 4x

t0  =  1/3 + i/9

f(t)  =  9t - 3

--->   f(1)  =  9[1/3 + i/9] - 3  =  3 + i - 3  =  i

--->   t(2)  =  9[i] - 3  =  9i - 3

--->   t(3)  =  9[9i - 3] - 3  =  81t - 27 - 3  =  81i - 30 

Archimedes provided a rather ingenious proof of this by noting that the volume of a hemisphere is equal to the sum of the differences in the cross-sections of a cylinder and an associated cone both having the same radius as the hemisphere, i.e....... pi*r^2h - (1/3)pi*r^2h = (2/3)pi*r^2h. But, the cylinder and the cone also have a height equal to this radius, so we have (2/3)pi*r^2h = (2/3)pi*r^2*r = (2/3)pi*r^3

So....twice this equals the volume of a whole sphere = 4/3pi*r^3

In a right triangle, the sine of an angle is defined to be the ratio of the opposite side divided by the hypotenuse.

     sin(A)  =  opp/hyp   --->   sin(A)  =  9.5/151.5   --->   sin(A)  =  0.0627   --->   A  =  invsin( 0.0627)  

     --->   A  =  3.6°

Distance  =  Rate x Time

35 mi  =  Rate x 2.5 hrs

35 mi / 2.5 hrs  =  Rate

...   simplify the answer   ...

0.25  =  25/100  =  1/4

The formula for the volume of a sphere is:  V  =  (4/3)·π·r³

Volume of the sphere = 4/3ㅠr^3

Where, r = radius of the sphere
 

Derivation for Volume of the Sphere
The differential element shown in the figure is cylindrical with radius x and altitude dy. The volume of cylindrical element is...

 

The sum of the cylindrical elements from 0 to r is a hemisphere, twice the hemisphere will give the volume of the sphere. Thus,

 
From the equation of the circle x² + y² = r²; x² = r² - y².

5x-3(2x)-3(-4)=

5x-6x+12=

-x+12

CPhill, thank you very much. This is the easiest and right way to do it. This was the only exercise that I wasn't understanding,I have an exam tomorrow. Thank you for your help.

To prove that, in congruent triangles, the bisectors of congruent angles are themselves congruent segments.

Let ABC  and DEF be congruent triangles

And let CC' be the angle bisector of of angle C ....and let FF' be the angle bisector of F

Then, since angle C = angle F, then the bisected angles BCC' and EFF' will also be equal.

And BC = EF.  And angle B = angle E.

Thus, by ASA, triangle BCC' = triangle EFF'.

Thus, the angle bisectors (segments) CC' and FF' are equal

(I think this is something on the order of what you might need...I hope)

5x - 3(2x - 4)

Use the distributive property:

5x - 3(2x) - 3(-4)

Can you finish this?

45 mins  =  45/60 hours  =  .75 hr

6 hrs 45 mins  =  6.75 hrs

Distance  =  Rate x Time

560 kms  =  Rate x 6.75 hrs

Divide both sides by 6.75 hrs:

560 kms / 6.75 hrs  =  Rate

Compound interest formula:  A  =  P(1 + r/n)^(n·t)

A  =  Final amount         P  =  Principal  = 10.00          t = number of years  =  2

r  =  interest rate (as a decimal)  =  0.04         n = numer of times compounded per year = 1

A  =  10.00(1 + 0.04/1)^(1·2)

A  =  10.00(1 + 0.04)^(2)                     <---   finish this ...

0.45 and 45/100

Yep....you got it correct.....!!!

Thanks so much! 

Hint:  -3.5(2 - 3n) - 2.5 n

=  -3.5(2) + -3.5(-3n) - 2.5n     (using the distributive property)

=  -7.0 + 10.5n - 2.5 n

=                          <--- finish this  (you will get one answer from A, B and C and another answer from D and E)

–3.5(2 – 3n) – 2.5n      distribute the -3.5 across the terms in parentheses

-7 + 10.5n - 2.5n         combine like terms

-7 + 8n

Thanks so much!

please help me with this question in the next 5 mins because I have to logout in 5 mins!!!!!!

360 minutes = 6 hrs

So....he must have worked out 1 hour per day since he worked out 6 times and the length of each was the same.

So.....45 minues of each hour was devoted to the bike......then......the other 15 minutes each day must have been devoted to jogging, since there are 60 minutes in an hour.

It really sucks I do not even want to get into it like the first comment said!