Rationalize the denominator and simplify- $( √(6) )/( √(3) - √(2) )$

Answers

Answer 1

Answer: $( √(6) )/( √(3) - √(2) ) =\n (\sqrt6(\sqrt3+\sqrt2))/(3-2)=\n (√(18)+√(12))/(1)=\n 3\sqrt2+2\sqrt3$

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A store purchased a DVD for $12.00 and sold it to a customer for 50% more than the purchase price.The customer was charged 7% tax when the DVD was sold.What was the customer's total cost for the DVD?

Answers

$12×.50=6
6+12=18
18×.07=1.26
18+1.26=19.26
the total cost the customer payed was $19.26

Evaluate tan-1(tan (15)

Answers

Answer:

1.33313073483

Step-by-step explanation:

M+(-9.5)=-7.8 how do you do this problem

Answers

m + (-9.5) = -7.8

First, simplify your brackets. / Your problem should look like: $m + -9.5 = -7.8$
Second, change addition to subtraction. / Your problem should look like: $m - 9.5 = -7.8$
Third, add 9.5 to both sides. / Your problem should look like: $m = -7.8 + 9.5$
Fourth, simplify. / Your problem should look like: $m = 1.7$

Answer: m = 1.7

If someone could help me with this problem it'd be very much appreciated!! *sorry for the quality btw

Answers

Okay, lets write down what we do know...

4 out of the 12 cups are decaf, so the odds of selecting a decaf cup by random is 4/12 or 1/3

Alternatively 8 of the 12 cups are caffeinated, so the odds of selecting a caffeinated cup by random is 8/12 or 2/3

P(decaf)=1/3
P(caf)=2/3

But those odds are only for the first cup picked. The second cup has 4 probabilities...

1. Picking a decaf cup for the second time

2. Picking a decaf cup for the first time

3. Picking a caf cup for the second time

4. Picking a caf cup for the first time

So lets find the probability of each event...

1. Picking a decaf cup for the second time. If a decaf cup has already been picked, then the odds of drawing another one is 3/11

2. Picking a decaf cup for the first time. If a decaf cup hasn't already been picked, then the odds of drawing one is 4/11

3. Picking a caf cup for the second time. If a caf cup has already been picked, then the odds of drawing one is 7/11

4. Picking a caf cup for the first time. If a car cup hasn't already been picked, then the odds of drawing one is 8/11.

Okay, so now we can solve for the various possibilities.

1. Picking a decaf cup for the second time
1/3*3/11=3/33

2. Picking a decaf cup for the first time
2/3*4/11=8/33

3. Picking a caf cup for the second time
2/3*7/11=14/33

4. Picking a caf cup for the first time
2/3*8/11=16/33

Both cups were caffeinated, so neither were decaf.

Answer= Neither cup is decaf.

How do i round to the nearest whole number:examples: 25.6, 327.9, 58.2, others
and fractions like this: 109 3/4 if i can round to the nearst whole number teel me the answer if your on rite now∞ββ α
thanks you will get a gift from me!!!

Answers

If your decimal is 1/2 or more u round up if it is less than half u round down

Answer:

25.6=26

327.9=328

58.2= 58

109 3/4= 110

Hope this helps!

Step-by-step explanation:

If your decimal is more than .50 round up, if it is less round down.

Express the product of cos 30°and 45° in simple simplest radical form

Answers

$cos30^0= ( √(3) )/(2) \ \ \ and\ \ \ cos45^0= ( √(2) )/(2)\n\ncos30^0\cdot cos45^0= ( √(3) )/(2)\cdot ( √(2) )/(2)= ( √(3) \cdot √(2) )/(2\cdot 2)=( √(6) )/(4)$

This means the multiplication of the cos of the particular angles

$cos(30^(o)) = ( √(3) )/(2) , cos(45^(o)) = ( √(2) )/(2)$

So, multiplying them together is

$= ( √(3) )/(2) *( √(2) )/(2) = ( √(6) )/(4)$

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