School and Work

Log(a) + log(b) = log(ab)

= (x-3/2) ( x+2/7) = 0

x = 3/2 x = -2/7

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log(sub2) (x-1) - log(sub2) (x+3) = log(sub2)(1/x)

Solve the logarithmic equation and obtain a decimal approximation where necessary.

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let x=kg of candy 1 (10% fat)
let y=kg of candy 2 (60% fat)

x+y=100
0.1x+0.6y=50

solve the system of equations. one way is substitution
x=y-100
0.1(y-100)+0.6y=50 solve this for y, then you can find x

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so x to the power of x is 100. What is X?

I thought I could use log, and I got this so far, but I don't know how to continue...:

log100/logX = X ( the power )

yup.... thanks! PlZ EXPLAIN!

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Home >All Categories > Science & Mathematics >Mathematics >Open Question Matt Member since:July 16, 2009Total points:108 (Level 1)In the bottom of an hourglass, a conical pile of sand is formed at the rate of 12 in.³ per minute. The radius of the base of the pile is always equal to one-half its altitude. How fast is the altitude rising when it is 6 in. deep?P.S.: Report the person who answered this first. He is simply ranting and that is against the community guidelines!2 minutes ago

Answer Question

The Internet is not something that you just dump something on. It's not a big truck. It's a series of tubes. And if you don't understand, those tubes can be filled and if they are filled, when you put your message in, it gets in line and it's going to be delayed by anyone that puts into that tube enormous amounts of material, enormous amounts of material.

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Home >All Categories > Science & Mathematics >Mathematics >Open QuestionThe "^3" means "to the power of 3", and so on. I really need the answer to this question, I'm stumped! It's over polynomials, which aren't really my favorite thing in math...nevertheless, I need someone's help!Answer Question

by Guy Stewart Member since:February 24, 2011Total points:154 (Level 1)This is impossible, because it needs to equal something. Are you sure you typed it correctly? If there was an equals sign, you could solve for X in terms of Y, or vice versa, and then put that in for X or Y and solve again.

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Solve for x in the following equation.

3x = 5 in U11

Please show all steps. Thanks!

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I = ? [ v(3-5x) / (2x) ] dx ......................... (1)
_______________________

Let : x = (3/5) sin² F.

Then : dx = (3/5) 2 sin F cos F dF.

Also : v(3-5x) = v3. cos F.
________________________

From (1), then,

I = ? [ ( v3. cos F ) / ( 2(3/5) sin² F ) ] · (3/5) 2 sin F cos F dF

= v3. ? ( cos² F / sin F ) dF

= v3. ? [ ( 1 - sin² F ) / sin F ] dF

= v3. ? ( csc F - sin F ) dF

= v3. { ln | csc F - cot F | - ( - cos F ) } + C

= v3. { ln | csc F - cot F | + cos F } + C

= v3. ln | (v(5x/3) - v(3-5x)/v(5x) | + v(3-5x) + C .......... Ans.
________________________________

Happy To Help !
________________________________

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Home >All Categories > Science & Mathematics >Mathematics >Open Question .:Kimber... Member since:October 02, 2007Total points:4,089 (Level 4)Light coming from a fish makes an incidence angle of 30° to normal under the water. The index of refraction of water is 1.33. A fisherman is looking at the fish through air. At what angle with the normal (?r) will the fish appear to the fisherman? Use Snell’s law: nisin?i = nrsin?r.Answer Question

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7x+4+4x+9=90
11x+13=90
11x=77
x=7

A=7(7) +4= 49+4=53

B=4(7) + 9=28+9=37

If T and U are complementary then

16x-9+4x+3=90
20x-6=90
20x=96
x=4.8

T=16(4.8) - 9=76.8-9= 67.8

U=4(4.8) + 3= 19.2+3= 22.2

hope that helps :)

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I'm having a moment, and I just need a lil push lol. So this problem:

a rectangle with a perimeter of 30 cm is twice as long as it is wide. What is the area of the rectangle I'm square cm?

See easy right? But for the life of me I ant remember >:(

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cidyah has taken the correct approach. His answer is correct with one exception. Your solution set can only contain values of x for which the expression on the left and right are defined. The number p/2 is not in the domain of the expression on the right. It can not be included in the solution set.

sec(x) - tan(x) = cos(x)

1/cos(x) - sin(x)/cos(x) = cos(x) ==> 1 - sin(x) = cos²(x)

with the restriction that cos(x) ? 0. Use the ID cos²(x) = 1 - sin²(x):

1 - sin(x) = 1 - sin²(x) ==> sin²(x) - sin(x) = 0 ==> sin(x)[sin(x) - 1] = 0

So either sin(x) = 0, or 1 - sin(x) = 0.

sin(x) = 0 if x = 0, p, 2p, ..., kp where k is any integer.

sin(x) = 1 if x = p/2, 5p/2, ..., p/2 + 2pk for any integer k.

However, the latter values are not in the domain of either the secant or the tangent. So these are not in the solution set. The complete solution set can be expressed as

{x | x = kp, k any integer}.

**** Update ****

Beware! Every respondent that includes 90° or p/2 is in error!

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2^t =400/c
t = log base 2 of 400/c

Hope this helps,
- Oliver

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I know how to get the first answer, but then how do I get the next two....

A roller coaster car with a mass of 225.1 kg starts from a height of 102.3 meters above the ground just before rolling down the frictionless track. Using conservation of energy, find the speed of the car just as it reaches the ground.

After the car reaches the ground, it travels horizontally on the track, where a frictional force of 836.3 Newtons slows the car to a stop. What is the work done on the car in bringing it to rest?

How far will the car go before it comes to rest?

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I've been looking at this for hours and for the life of me still don't understand how to do it.

Egyptian scrolls dating from the period between 1850 and 1650 B.C.E. show many formulas for computing land areas for the purposes of taxation. Does the following formula produce the correct area for a quadrilateral with successive side lengths of a, b, c, and d? If not, is the result too large or too small? Explain your result.

Area = [(a+c) x (b+d)] / 4

Thanks for the help!

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1. How long should you roast a whole ham that weighs 11 2/3 pounds? Is it.... 2 1/3 hours?
2. At what time should you put the ham in the oven if you want to eat at 5:20 P.M.? Is it ... 3:00 P.M.?

These problems I don't get:
3. How long should you roast a chicken that weighs 3 2/3 pounds?
4. At what time should you put the chicken in the oven if you want to eat at 5:45 P.M.?
5. How long should you roast a pork roast that weighs 3 4/5 pounds?
6. At what time should you put the pork roast in the oven if you want to eat at 6:30 P.M.?

CHART!
Meat--------------------------------Ti… (hour per lb)
Pork Roast-----------------------7/15
Ham--------------------------------1/5
Beef Roast-----------------------1/3
Beef Ribs-------------------------2/5
Chicken---------------------------1 3/4

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