Help me... I need thae answer.

Chanda is planning to visit universities over the summer to help decide where she

ipn [44]

The dissent was is 39 miles

8 0

3 years ago

Help would be greatly appreciated!

eimsori [14]

b

Take a look at everything inside the brackets sqrt(50x^2) = sqrt(5*5*x*x * 2) For ever 2 factors you can bring one out and drop the other one. That means take out 5 * x * sqrt(2). Two is what is left inside the brackets. B must = 2.

c

Do the same thing here. Write all the primes under the square root. Take out 1 for every two under the root sign. sqrt(32x) = sqrt(2*2*2*2*2*x) You can bring out two 2s. There is one left over. Leave it under the root sign. The x is a loner. It stays under the root sign. c = 2 * 2 = 4.

e

Again do the prime factor thing. sqrt(18n) = sqrt(3*3*2*n) = 3*sqrt(2*n)

e = 3

g

sqrt(72*x*x) = sqrt(3 * 3* 2 * 2 * 2 * x * x) = 3 *2 * x* sqrt(2) For every 2 prime factors you can pull out 1 of them outside the square root sign. g = 6

Comment

There are many people on the net and on Brainly that will say that you should know the perfect squares from 1 to 100 (say) so 4 9 16 25 36 49 64 81 100 are the numbers that you should memorize. When they are under the root sign, their roots can be taken out as 2 3 4 5 6 7 8 9 10. For this question I think it is better to use the pairs rule I've given you above. If someone else answers they are likely to do it the way it is written up in this paragraph. It's a free country. You are free to take the answer you like best.

7 0

3 years ago

Adam, Brian, and Christine order two small pizzas. Adam eats three quarters of a pizza, Brian eats one third of a pizza, and Chr

vampirchik [111]

<h3>Answer: 11/12</h3>

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Explanation:

3/4 = 9/12 after multiplying top and bottom by 3

1/3 = 4/12 after multiplying top and bottom by 4

When combining the fractions 3/4 and 1/3, we get,

3/4 + 1/3 = 9/12 + 4/12 = (9+4)/12 = 13/12

Let's convert that result into a mixed number

13/12 = (12+1)/12

13/12 = 12/12 + 1/12

13/12 = 1 + 1/12

13/12 = 1 & 1/12

Adam and Brian have collectively eaten 1 full pizza plus an additional 1/12 of the second pizza. This leaves 11/12 of the second pizza for Christine to eat. Notice how the fractions part 1/12 and 11/12 add to 12/12 = 1.

Check out the diagram below.

7 0

2 years ago

Express 3^4 = x as a logarithmic equation.

meriva

Note that the base in both the exponential form of the equation and the logarithmic form of the equation (above) is "b", but that the x and y switch sides when you switch between the two equations. If you can remember this — that whatever had been the argument of the log becomes the "equals" and whateverhad been the "equals" becomes the exponent in the exponential, and vice versa — then you should not have too much trouble with solving log equations.

Solve log2(x) = 4.

Since this is "log equals a number", rather than "log equals log", I can solve by using The Relationship:
 log2(x) = 4 
24 = x
16 = x

Solve log2(8) = x.

I can solve this by converting the logarithmic statement into its equivalent exponential form, using The Relationship:log2(8) = x
2 x = 8But 8 = 23, so:2 x = 23
x = 3

Note that this could also have been solved by working directly from the definition of a logarithm: What power, when put on "2", would give you an 8? The power 3, of course!

If you wanted to give yourself a lot of work, you could also do this one in your calculator, using the change-of-base formula:

log2(8) = ln(8) / ln(2)

Plug this into your calculator, and you'll get "3" as your answer. While this change-of-base technique is not particularly useful in this case, you can see that it does work. (Try it on your calculator, if you haven't already, so you're sure you know which keys to punch, and in which order.) You will need this technique in later problems.

Solve log2(x) + log2(x – 2) = 3I can't do anything yet, because I don't yet have "log equals a number". So I'll need to use log rules to combine the two terms on the left-hand side of the equation:log2(x) + log2(x – 2) = 3 
log2((x)(x – 2)) = 3 
log2(x2 – 2x) = 3Then I'll use The Relationship to convert the log form to the corresponding exponential form, and then I'll solve the result:log2(x2 – 2x) = 3 
23 = x2 – 2x 
8 = x2 – 2x 
0 = x2 – 2x – 8 
0 = (x – 4)(x + 2) 
x = 4, –2But if x = –2, then "log2(x)", from the original logarithmic equation, will have a negative number for its argument (as will the term "log2(x – 2)"). Since logs cannot have zero or negative arguments, then the solution to the original equation cannot be x = –2.The solution is x = 4.

Keep in mind that you can check your answers to any "solving" exercise by plugging those answers back into the original equation and checking that the solution "works":

log2(x) + log2(x – 2) = 3 
log2(4) + log2(4 – 2) ?=? 3 
log2(4) + log2(2) ?=? 3

Since the power that turns "2" into "4" is 2 and the power that turns "2" into "2" is "1", then we have:

log2(4) + log2(2) ?=? 3 
log2(22) + log2(21) ?=? 3 
2 + 1 ?=? 3 
3 = 3

Solve log2(log2(x)) = 1.This may look overly-complicated, but it's just another log equation. To solve this, I'll need to apply The Relationship twice:log2(log2(x)) = 1
21 = log2(x) 
2 = log2(x) 
x = 22 
x = 4Then the solution is x = 4.Solve log2(x2) = (log2(x))2.First, I'll write out the square on the right-hand side:log2(x2) = (log2(x))2 
log2(x2) = (log2(x)) (log2(x))Then I'll apply the log rule to move the "squared", from inside the log on the left-hand side of the equation, out in front of that log as a multiplier. Then I'll move that term to the right-hand side:2log2(x) = [log2(x)] [log2(x)] 
0 = [log2(x)] [log2(x)] – 2log2(x)This may look bad, but it's nothing more than a factoring exercise at this point. So I'll factor, and then I'll solve the factors by using The Relationship:0 = [log2(x)] [log2(x) – 2] 
log2(x) = 0 or log2(x) – 2 = 0 
20 = x or log2(x) = 2 
1 = x or 22 = x 
1 = x or 4 = xThe solution is x = 1, 4.

3 0

3 years ago

Read 2 more answers

Diego hosted a spaghetti dinner for the soccer team. He made 6 boxes of spaghetti to feed the 20 people that came. Next time, 50

Tems11 [23]

6 boxes of spaghettis for 20 persons so that means 12 boxes for 40 persons since there are 50 persons we have 10 persons left since 10 is equals to 20 divided by 2, divide 6 by 2 which is equals to 3 then add 12
Answer: 15

5 0

3 years ago