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Tatiana_Stebko answered: 1326 problems
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Angles/468641: The angles of a triangle are in the ratio 1:6:8. I need help finding the measure of the smallest angle. Thank you!
1 solutions

Answer 321552 by Tatiana_Stebko(1326) About Me  on 2011-07-09 13:41:03 (Show Source):
You can put this solution on YOUR website!
Let x is the coefficient of ratio
Then the angels of a triangle are x, 6x, 8x degrees
The sum of the angels of a triangle is 180 degrees
x%2B6x%2B8x=180
15x=180
x=180%2F15
x=12 degrees
The smallest angle of the triangle is 12 degrees


Radicals/468635: Add or subtract. Simplify by collecting like radical terms, if possible.
6sqrt(3)-2sqrt(3)+7sqrt(3)=
(Simplify your answer. Type an exact answer, using radicals as needed.)
1 solutions

Answer 321549 by Tatiana_Stebko(1326) About Me  on 2011-07-09 13:36:04 (Show Source):


Radicals/468561: Divide. Then simplify by taking roots, if possible.
〖49〗^(5/2)
The solution is___.
(Simplify your answer. Type an integer or fraction.)

1 solutions

Answer 321533 by Tatiana_Stebko(1326) About Me  on 2011-07-09 11:54:15 (Show Source):


Exponential-and-logarithmic-functions/468597: Please help me solve this:
16e^(.02*10)
1 solutions

Answer 321526 by Tatiana_Stebko(1326) About Me  on 2011-07-09 11:28:16 (Show Source):


Evaluation_Word_Problems/468567: A camera is priced at P15,000.00 subject to 10% and 5% trade discounts. Determine the:
a. additional trade discount rate that would bring down the price further to P12,440.25
b. single equivalent rate of the three discount rates

1 solutions

Answer 321520 by Tatiana_Stebko(1326) About Me  on 2011-07-09 10:48:56 (Show Source):
You can put this solution on YOUR website!
P15,000.00 after 10% discount is 15,000.00*(100%-10%)/100%=15,000.00*0.9=13,500.00
P13,500.00 after 5% discount is 13,500.00*(100%-5%)/100%=13,500.00*0.95=12,825.00
a. additional trade discount rate that would bring down the price further to P12,440.25
100%-(12,440.25/12,825.00)*100%=3%
b. single equivalent rate of the three discount rates
100%-(12,440.25/15,000.00)*100%=17.065%


Radicals/468577: Find the following.
root20:(-3)^20
Select the correct choice below and if necessary, fill in the answer box to complete your choice.
A. root20:(-3)^20 =
B. The root is not a real number.

1 solutions

Answer 321519 by Tatiana_Stebko(1326) About Me  on 2011-07-09 10:37:37 (Show Source):


Radicals/468548: Add. Simplify by collecting like radical terms if possible, assuming that all expressions under radicals represent nonnegative numbers.
√7a + 6√(28a^3)=
(Simplify your answer. Type an exact answer using radicals as needed.)

1 solutions

Answer 321510 by Tatiana_Stebko(1326) About Me  on 2011-07-09 05:56:25 (Show Source):


Expressions-with-variables/468461: I need help solving this with the variable x.
3/x-2 + 5/x+2 = -7x/x^2-4
The solution is x=___
1 solutions

Answer 321509 by Tatiana_Stebko(1326) About Me  on 2011-07-09 05:39:42 (Show Source):


Graphs/468477: what are the order pairs for y from these equations
Y=2^2x
{(-1, ) (0, ), (1, ), (2, )
y=(1/2)^x
[(-3, ) , (-2, ) , (-1, ), (0, ), (1, , 2, ), (3, )}
1 solutions

Answer 321508 by Tatiana_Stebko(1326) About Me  on 2011-07-09 05:33:43 (Show Source):
You can put this solution on YOUR website!
Y=2%5E%282x%29
if x=-1 then Y=2%5E%282%2A%28-1%29%29=1%2F4=0.25 Point (-1,0.25)
if x=0 then Y=2%5E%282%2A0%29=1 Point (0,1)
if x=1 then Y=2%5E%282%2A1%29=4 Point (1,4)
if x=2 then Y=2%5E%282%2A2%29=16 Point (2,16)
{(-1,0.25),(0,1),(1,4),(2,16)}
.
y=%281%2F2%29%5Ex
if x=-3 then Y=%281%2F2%29%5E%28-3%29=2%5E3=8 Point (-3,8)
if x=-2 then Y=%281%2F2%29%5E%28-2%29=2%5E2=4 Point (-2,4)
if x=-1 then Y=%281%2F2%29%5E%28-1%29=2%5E1=2 Point (-1,2)
if x=0 then Y=%281%2F2%29%5E0=1 Point (0,1)
if x=1 then Y=%281%2F2%29%5E1=1%2F2=0.5 Point (1,0.5)
if x=2 then Y=%281%2F2%29%5E2=1%2F4=0.25 Point (2,0.25)
if x=3 then Y=%281%2F2%29%5E3=1%2F8=0.125 Point (3,0.125)
{(-3,8),(-2,4),(-1,2),(0,1),(1,0.5),(2,0.25),(3,0.125)}


Numbers_Word_Problems/468522: Two number differ by 10. The larger number is 6 less than twice the smaller number. Find the numbers.
1 solutions

Answer 321507 by Tatiana_Stebko(1326) About Me  on 2011-07-09 05:14:09 (Show Source):
You can put this solution on YOUR website!
Let x is the smaller number
Then 2x-6 is the larger number
Differ between numbers is 10, so equation
2x-6-x=10
x=10%2B6
x=16 the smaller number
2x-6=2%2A16-6=26 the larger number
Answer: 16 and 26


Triangles/468523: The three sides of a triangle are 4,7,and 8. I need to find the largest side of a similar triangle whose shortest side is 5
1 solutions

Answer 321505 by Tatiana_Stebko(1326) About Me  on 2011-07-09 05:06:22 (Show Source):
You can put this solution on YOUR website!
The largest side of a triangle are 4,7,and 8 is 8
The coefficient of proportionality is 5%2F4
Then the largest side of the similar triangle is 8%2A%285%2F4%29=10
Answer 10


Rectangles/468545: The length of a rectangle is 8 more than the width. If the width is 5x-4, find the perimeter in terms of x.
1 solutions

Answer 321504 by Tatiana_Stebko(1326) About Me  on 2011-07-09 05:00:06 (Show Source):
You can put this solution on YOUR website!
If the width of a rectangle is 5x-4, then the length is %285x-4%29%2B8=5x%2B4
The perimeter of a rectangle is P=2%28l%2Bw%29, when l is length, w is width of a rectangle
P=2%285x-4%2B5x%2B4%29=20x
Answer: 20x


Radicals/468544: Add. Simplify by collecting like radical terms, if possible.
16√180 + 5√125
The answer is _____.

1 solutions

Answer 321503 by Tatiana_Stebko(1326) About Me  on 2011-07-09 04:55:38 (Show Source):


Rational-functions/468540: Use the laws of exponents to simplify.
(10^(7)/(8))/(10^(5)/(8))=
(Simplify your answer. Tupe exponentential notation with rational exponents.)
1 solutions

Answer 321502 by Tatiana_Stebko(1326) About Me  on 2011-07-09 04:47:34 (Show Source):


Radicals/468541: Find the following. Assume that x can represent any real number. Use absolute value notation when necessary.
√(25x^2)=

1 solutions

Answer 321501 by Tatiana_Stebko(1326) About Me  on 2011-07-09 04:42:04 (Show Source):


Radicals/468542: Multiply.
(7+√8)(7-√(8))=
(Simplify your answer. Type an exact answer, using radicals as needed.)

1 solutions

Answer 321500 by Tatiana_Stebko(1326) About Me  on 2011-07-09 04:40:36 (Show Source):
You can put this solution on YOUR website!
%287%2Bsqrt%288%29%29%287-sqrt%288%29%29=7%5E2-%28sqrt%288%29%29%5E2=49-8=41
Formula (a-b)(a+b)=a^2-b^2


Exponential-and-logarithmic-functions/468456: find lim[x:3/2]2x^2-9x-18/2x-3
1 solutions

Answer 321496 by Tatiana_Stebko(1326) About Me  on 2011-07-09 03:52:01 (Show Source):


Probability-and-statistics/468534: I am begging a tutor to show me how to do these hard homework problems.
The probability of winning is 0.45 every time you play a certain game. Suppose you play the game 10
times.
1. (1 point) Find the probability that you will win exactly 4 times. Round answer to three places after the
decimal point.
I used the formula Pr(x-k)= c(n,k) p^k x q^ (n-k)
so... c(10,4) (.45)^4 x (.55)^(10-4)?
2. (1 point) Find the probability that you will win 2 or more times. Round answer to three places after
the decimal point.
c(10,2) x (.45)^2 x (.55)^(8)?
3. (1 point) Find the expected number of times you will win, and the standard deviation. Round both
answers to three places after the decimal point.
I dont even know how to set this one up...
I think my biggest issue is understanding how to find k
1 solutions

Answer 321495 by Tatiana_Stebko(1326) About Me  on 2011-07-09 03:22:36 (Show Source):
You can put this solution on YOUR website!
1. (1 point) Find the probability that you will win exactly 4 times. Round answer to three places after the decimal point.
I used the formula Pr(x-k)= c(n,k) p^k x q^ (n-k)
so... c(10,4) (.45)^4 x (.55)^(10-4) - CORRECT
2. (1 point) Find the probability that you will win 2 or more times. Round answer to three places after the decimal point.
P(win 2 or more times)=P(2)+P(3)+P(4)+P(5)+P(6)+P(7)+P(8)+P(9)+P(10)
The best way to solve this problem by opposite event
P(win 2 or more times)=1-P(win less then 2)
P(win less then 2)=P(0)+P(1)
THEN
P(win 2 or more times)=1-(P(0)+P(1))
P(win 2 or more times)=1-(c(10,0)(.45)^0*(.55)^(10-0)+c(10,1)(.45)^1*(.55)^(10-1))
3.(1 point) Find the expected number of times you will win, and the standard deviation. Round both answers to three places after the decimal point.
E(X)=np
n=10, p=0.45
E(X)=10*0.45=4.5
the standard deviation
S%28X%29=sqrt%28n%2Ap%2A%281-p%29%29
S%28X%29=sqrt%2810%2A0.45%2A0.55%29=sqrt%282.475%29=1.573


test/468495: I am going to take my grad exam again Monday for the 3rd time. I do NOT know how to factor and that is mainly the test. I was wondering someone could please help me???
1 solutions

Answer 321494 by Tatiana_Stebko(1326) About Me  on 2011-07-09 02:57:21 (Show Source):
You can put this solution on YOUR website!
Do you know problems that could be on your exam, if you have some of them, send them to me please stebko22@gmail.com, I can help you


logarithm/468526: i have tried to solve this log2(8-6x)=5. i cant seem to figure out what i am doing wrong. i have tried this: 2^5=8-6x. and so i add 8 to both sides and i get 40=6x then i divide both sides by 6 and i 6.666666? please help... thankyou
1 solutions

Answer 321493 by Tatiana_Stebko(1326) About Me  on 2011-07-09 02:33:12 (Show Source):
You can put this solution on YOUR website!
log%282%2C%288-6x%29%29=5
8-6x=2%5E5
Subtract 8 from both sides of the equation
-6x=32-8
-6x=24
Divide both sides by -6
x=-24%2F6
x=-4


logarithm/468527: help!!!!! 4+5e^-5=9 i do not know where to start to solve this problem.
1 solutions

Answer 321491 by Tatiana_Stebko(1326) About Me  on 2011-07-09 02:26:50 (Show Source):
You can put this solution on YOUR website!
??????Something wrong, this problem has no x??????????????


Linear-equations/468529: Please help me with this algebra problem. Thanks in advance.
Simplify and show all work please.
9c^3 + 7c - (3c^3 - 12 + c)
1 solutions

Answer 321490 by Tatiana_Stebko(1326) About Me  on 2011-07-09 02:18:26 (Show Source):


logarithm/468528: please help me solve this e^.5t=1600
1 solutions

Answer 321488 by Tatiana_Stebko(1326) About Me  on 2011-07-09 02:16:29 (Show Source):


logarithm/468530: please help me solve this ln(4x)=3
1 solutions

Answer 321486 by Tatiana_Stebko(1326) About Me  on 2011-07-09 02:10:55 (Show Source):


Linear-equations/468531: Please help me with this algebra problem. Thanks so much in advance.
Simplify and show all work please.
-4p - 10 (2p - 3) = 22 - 7 (1 - 2p)
1 solutions

Answer 321484 by Tatiana_Stebko(1326) About Me  on 2011-07-09 02:09:19 (Show Source):
You can put this solution on YOUR website!
-4p+-+10+%282p+-+3%29+=+22+-+7+%281+-+2p%29
-4p+-+20p+%2B30=+22+-+7+%2B14p
-4p+-+20p+-14p=+22+-+7+-30
-38p=-15
Divide both sides of the equation by -38
p=15%2F38


Linear-equations/468532: Please help me with this algebra problem. Thank you so much in advance.
Please show all work. solve the equation for d
k = 2c - 9d/8
1 solutions

Answer 321483 by Tatiana_Stebko(1326) About Me  on 2011-07-09 02:04:27 (Show Source):
You can put this solution on YOUR website!
k+=+2c+-+9d%2F8
9d%2F8=+2c-k+
Multiply both sides of the equation by 8
9d=+16c-8k+
Divide both sides of the equation by 9
d=+%2816c-8k%29%2F9+
.
.
.
But if your problem looks like
k+=+%282c+-+9d%29%2F8
Multiply both sides of the equation by 8
8k+=+2c+-+9d
9d+=+2c+-+8k
Divide both sides of the equation by 9
d+=+%282c+-+8k%29%2F9


Radicals/468333: ass, Simplify by collecting like radical terms if possible, assuming that all expressions under radical represent nonnegative numbers
V3a + 6V12a^3
the v;s represent the square roots symbol and ^ means it is raising to that power
1 solutions

Answer 321348 by Tatiana_Stebko(1326) About Me  on 2011-07-08 13:57:27 (Show Source):


Radicals/468322: Multiply, Simplify wherever possible
(v7 - v2)(v7+v2)
the v's are suppose to be square roots.
1 solutions

Answer 321345 by Tatiana_Stebko(1326) About Me  on 2011-07-08 13:50:08 (Show Source):


Functions/468348: What is the domain of the following function?
y = log(x + 5)
1 solutions

Answer 321343 by Tatiana_Stebko(1326) About Me  on 2011-07-08 13:44:57 (Show Source):
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For function y=logx domain is x%3E0
Function y=lox%28x%2B5%29
Domain x%2B5%3E0
x%3E-5


Expressions-with-variables/468344: Could you please help me with this problem?
"Use the properties of radicals to simplify each expression."
+sqrt%2875x%5E2y%5E-4%29+
Thank you very much!
1 solutions

Answer 321342 by Tatiana_Stebko(1326) About Me  on 2011-07-08 13:40:28 (Show Source):


Expressions-with-variables/468345: Given 2%5Ex=8%5E%28y%2B1%29 and 9%5Ey=3%5E%28x-9%29, find the values of x+y.
1 solutions

Answer 321340 by Tatiana_Stebko(1326) About Me  on 2011-07-08 13:36:57 (Show Source):
You can put this solution on YOUR website!
From the first equation 2%5Ex=8%5E%28y%2B1%29
2%5Ex=2%5E%283%28y%2B1%29%29
So, x=3%28y%2B1%29
From the second equation 9%5Ey=3%5E%28x-9%29
3%5E%282y%29=3%5E%28x-9%29
2y=x-9
System
system%28x=3%28y%2B1%29%2C2y=x-9%29
system%28x-3y=3%2Cx-2y=9%29,
Subtract the second equation from the first one
-y=-6
y=6
Put y=6 in the first equation
x-3%2A6=3
x=21
system%28x=21%2Cy=6%29
x%2By=21%2B6=27
Answer: 27