All Answers

#2

+130518

+8

Check out the big brain on BJ !!!

She is correct...it IS betwen 9 and 10 years

Let's see if we can narrow it down a little more.....

500 = 15000(.7)^t where t is the time to depreciate to $500 ....divide both sides by 15000

1/30 = .7^t take the log of both sides

log (1/30) = log.7 ^t and we can write

log(1/30) = t * log .7 divide both sides by log.7 and we have

log(1/30) / log. 7 = t = about 9.5 years......

CPhillMar 26, 2015

#2

+893

+5

This is known as Haberdasher's Problem. A web search will get you the solution.

A search on Mathematical Disections gets further more general info.

BertieMar 26, 2015

#1

0

because its the same thing fractions are just a way to represent part of a whole 3/4 is 3 out of 4 or 3 / 4 which is 75.00 percent 75/100 percent just means of a hundred

a good way to think about it is in terms of money 100% is 1/1 or a dollar if you have 75% you would have .75 cents not a whole dollar yet

GuestMar 26, 2015

#1

+130518

+5

The circumference of the combined circles = 2pi [9 + 4 ] = 26pi cm

So

26 pi cm = 2 pi r divide by pi on both sides

26 cm = 2r = diameter of larger circle

CPhillMar 26, 2015

#1

+33665

+10

.

AlanMar 26, 2015

#1

+130518

+5

By "transform," I assume you mean "expand" or "simplify"

1. log(3x4) = log 3 + log 4

2. log_4 3= Tyler, I'm unsure of what this is ..... I think it's supposed to be log₄ 3 ...if so...this equals

log3 / log4

3. log3^4= 4 log3

4. log 3/4= log3 - log 4

CPhillMar 26, 2015

#1

+3693

+8

I think it would be inbetween 9-10 years, because in the 9th year, the car is worth $603.30, while in the 10th year, the can is only worth $422.31.

BrittanyJMar 26, 2015

#1

+130518

+13

1. P(x)=x^3 + 9x^2 + 24x + 20

By the Rational Roots Theorem, -2 is one root...so we have

-2 1 9 24 20

-2 -14 -20

----------------------------

1 7 10 0

The remaining polynomial is x^2 + 7x + 10 which factors as (x + 2) (x + 5)

So the factorization of this is P(x) = (x +2)(x + 2) (x +5) = (x + 2)^2 (x + 5)

2. We have

x^2 + 7x + 10

--------------------------------------------

x + 2 [ x^3 + 9x^2 + 24x + 20 ]

x^3 + 2x^2

-------------------------------------------

7x^2 + 24x

7x^2 + 14x

--------------------------------------------

10x + 20

------------------------------------------

0 remainder

So, now notice, tyler, the quotient polynomial, x^2 + 7x + 10, factors as before in the first part

So the three factors are (x + 2)(x + 2)(x + 5) = (x + 2) ^2 (x + 5) .....as before....

CPhillMar 26, 2015

#5

+3693

+13

way to go on coming 2 a math site! you'll find plenty here! :) (That's the first place i'd check!) LOL

BrittanyJMar 26, 2015

#1

+3693

+5

-15ºC = 5ºF

-10ºC = 14ºF

-5ºC = 23ºF

0ºC = 32ºF

5ºC = 41ºF

10ºC = 50ºF

15ºC = 59ºF

BrittanyJMar 26, 2015

#1

0

9/1x3/4=

GuestMar 26, 2015

#4

+3693

+8

Im 15! yea. wat gender???

(I think Risalevay is looking for a guy) lol

BrittanyJMar 26, 2015

#1

+5

$${\mathtt{55\,000}}{\mathtt{\,\times\,}}{{\mathtt{1.12}}}^{{\mathtt{15}}}$$

.

GuestMar 26, 2015

#1

+130518

+10

The equation is

(y - 5)^2 / 9 - (x - 4)^2/ 4 = 1

Transforming this, we have

4(y - 5)^2 - 9(x - 4)^2 = 36

4(y^2 -10y + 25) - 9(x^2 - 8x + 16) =36

4y^2 - 40y + 100 - 9x^2 + 72x - 144 = 36

4y^2 - 9x^2 - 40y + 72x - 80 = 0

CPhillMar 26, 2015

#2

+5

72*4=288. This is multiplied by 4 because 1/4 = 25% of. Hope this helps

GuestMar 26, 2015

#1

+5

$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}{\left({\mathtt{64}}^\circ\right)}{\mathtt{\,\times\,}}{\mathtt{13}} = {\mathtt{26.653\: \!949\: \!940\: \!527}}$$ I think this is it, it is trigonometry using SohCahToa.