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2.5

use a calculator

No......neither can be negative  [in real number terms ]

No it is not

y= -30/8

say you have $100 in the bank. the annual interest is, say, 3%. so 100+(0.03*100)=$103 after 1 year. 2 years:

103+(0.03*103)=106.09. in year 1 it increase by 3 and year 2 it increase by 3.09. year 3: 106.09(0.03*106.09)=109.2727

now it increase by 3.1827 . this is compound interest.

nvm he is in jail

Call the scale factor, S  ....so...

448 * S^3  = 875

S^3  = 875/448

S^3  = 125 / 64       take the cube root of both sides

S  = 5/4

3(b+3)=x

x/3=b+3

(x/3)-3=b

2.A prism with the base area of 8 cm^2 and a height of 6cm is dilated by a factor of 5/4. What is the volume of the dilated figure?

The original volume will increase by a cube of the scale factor

Original volume  =  8 * 6  = 48cm^3

So

48 * (5/4)^3  =

[48 * 125] / 64  =

[48/64] * 125  =

(3/4) * 125  =

93.75 cm^3

1.A rectangle with an area of 4/7 m^2 is dilated by a factor of 7.What is the area of the dilated figure? Do not leave your answer as a fraction.

The area is increased by a square of the scate factor....so.....

(4/7) * 7^2  =

(4/7) * 49

(49/7) * 4  =

7 * 4  =

28 m^2

ab=240       →  b = 240/a     (1)

cd=500    →  d = 500/c →  500/ (215/a)  →  500a / 215 → 100a/43

d-bc=455

ac=215   (4)  → c = 215/a

then, d=?

Put (1), (2), (4)  into (3)

100a/43  - [ 240/a] * [ 215/a]  = 455      multiply hrough by  a^2

(100/43)a^3  - 240*215  = 455a^2

(100/43)a^3 -  455a^2 - 51600 = 0

100a^3 - 19565a^2 - 2218800 = 0    →   a ≈ 196.23

So....d =100a / 43 =  [100*196.23] / 43 ≈ 456.348

Solve for x:
2 (x - 5) (2 x + 1) = 0

Divide both sides by 2:
(x - 5) (2 x + 1) = 0

Split into two equations:
x - 5 = 0 or 2 x + 1 = 0

Add 5 to both sides:
x = 5 or 2 x + 1 = 0

Subtract 1 from both sides:
x = 5 or 2 x = -1

Divide both sides by 2:
Answer: |x = 5         or         x = -1/2

I guess you dreamed this one up, didn't you? Well, there is a solution for it and you can check it!!.

a =~196.226
b=~1.22308
c=~1.09567
d=~456.340

You can take the Log of ANY number you want. The "Log" function doesn't care whether your number is in degrees or inches or Liters or whatever.

Never heard of a "log of an angle".....

Sorry, Scruffy.....scratch that "not".....LOL!!!!

still not divisible by 6??

nobody is immune to typing mistakes 

1.4026354319180088 (Aprox.)

well, to work out if 5,676,882 is divisible by 6 then it has to be divisible by 2 and 3, because 2x3=6. we know it is divisible by 2 because it ends in a two. so now we have to know if it is divisible by 3. to do this, we add up all the digits, then if the answer is bigger than 9, we add those digits together again, rinse and repeat, until you get a one digit number. if that 1 digit number is 3,6 or 9, then the whole number is divisible by 3.

5+6+7+6+8+8+2=42

4+2=6

6 is divisible by three. therefore 5,676,882 is divisible by 3.

since it is divisible by 2 and 3, then it is also divisible by six.

so, 5,676,882 is divisible by 6.

3/0, 2/0, 1/0     don't  = 0  ........these are undefined

0/0  is known as "indeterminate"

You have it backwards. 0/1 = 0. 1/0 = undefined.

But 0/0 can't be zero for multiple reasons. If you divide a number by 0, it would be like 0e+0, which is technically undefined.

bro 3/0 does not equal 0 the closest answer is ∞, but mathematicians aren't sure!

they think that x/0=∞ where x>1 because:

5/0=x

0*x=5

x=2?

0+0=0

x=3?

0+0+0=0

x=12?

0+0+0+0+0+0+0+0+0+0+0+0=0

no matter how large x the answer is still 0! ( btw this ! is an exclamation not a factorial sign )

anyway, back to 0/0, this one is extra confusing. you may think: "simple! x/x=1 so 0/0 must also = 1!"

but no. write it as a formula: 

0/0=1 

simplify

1*0=0

makes sense right? but what about

0/0=2

2*0=0

why this also works!!

0/0=3

3*0=0

rinse and repeat:

0/0=4

4*0=0

oh and don't forget:

0/0=0

0*0=0

so there you have it. yes, 0/0 is 0 but at the same time it isn't

12*11 = 132

132*10 = 1,320

1,320*9 = 11,880

11,880*8 = 95,040

95,040*7 = 665,280

665,280*6 = 3,991,680

3,991,680*5 = 19,958,400

19,958,400*4 = 79,833,600

79,833,600*3 = 239,500,800

239,500,800*2 = 479,001,600

479,001,600*1 = 479,001,600

(I am never thinking again. My head hurts way too much now.)