1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Westkost [7]
3 years ago
7

Match each expression in the left column with the correct product in the right column.

Mathematics
1 answer:
lesya692 [45]3 years ago
5 0

Answer:

-6

-6i

6i

6

Step-by-step explanation:

1) √4 . √-3 . √-3

$ \sqrt{4} = 2 $

$ \sqrt{-3} . \sqrt{-3} = (\sqrt{-3})^2 $

$ \sqrt{4} . (\sqrt{-3})^2 = 2 \times -3 = $ -6

2) √-4 . √-3 . √-3

$ \sqrt{-4} = 2i $ .

Therefore, $ \sqrt{-4} . \sqrt{-3} . \sqrt{-3} = 2. \sqrt{-1}  \times -3 = 2i \times (-3) =  $ - 6i

3) √4 . √3 . √-3

$ \sqrt{4} = 2 $

$ \sqrt{3} . \sqrt{-3} = (\sqrt{3})^2 . \sqrt{-1} $

$ \implies 2 \times 3i = $ 6i

4) √4 . √3 . √3

$ \sqrt{4} = 2 $

$ \sqrt{3} . \sqrt{3} = (\sqrt{3})^2  = 3 $

Therefore, √4 . √3 . √3 = 2 . 3 = 6

You might be interested in
In the United States, 40% of the population have brown eyes (based on data from Dr. P. Sorita Soni at Indiana University). If 14
Sav [38]

Answer:

0.0006087 (4 sf)

Step-by-step explanation:

Binomial distribution:  X ~ B(n, p)

where n is the number of trials and p is the probability of success

Let the random variable X be the number of people with brown eyes

n = 14

p = 40% = 0.4

Therefore,  X ~ B(14, 0.4)

P(X ≥ 12) = 1 - P(X ≤ 11)

              = 1 - 0.9993913226...

              = 0.000608677...

4 0
2 years ago
You stand 20 feet from a flagpole and sight the top at a 40 degree angle of elavatuon. How tall is the pole?
LenKa [72]
Tan 40 = h / 20  where h = height of the pole.

h = 20 tan 40 =  16.78 feet
8 0
3 years ago
(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd) =
BabaBlast [244]

Answer:

4c² + 11cd + 5d

Step-by-step explanation:

(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd)

-4c² + 7cd + 8d - 3d + 8c² + 4cd (opening bracket)

8c²-4c²+7cd + 4cd + 8d - 3d

= 4c² + 11cd + 5d

4 0
2 years ago
Read 2 more answers
Based on the passage, what is the best inference?
icang [17]

Answer:

John has trouble making decisions.

Step-by-step explanation:

In the passage, it says the "I don't know what to do," John sighed and shrugged as he stared at the free ticket for tomorrow's show that he'd just been given. ,¨ indicates he´s having some trouble.

3 0
3 years ago
Read 2 more answers
A survey of investors finds that 60% use a full service brokerage firm to invest in stocks, 30% trade stocks online and 24% do b
Jobisdone [24]

Answer:

P(Service\ Brokerage\ or\ Online) = 66\%

Step-by-step explanation:

Given

P(Service\ Brokerage) = 60\%

P(Online) = 30\%

P(Both) = 24\%

Required

Determine P(Service Brokerage or Online)

In probability:

P(A\ or\ B) = P(A) + P(B) - P(Both)

In this case:

P(Service\ Brokerage\ or\ Online) = P(Service\ Brokerage) + P(Online) - P(Both)

Substitute values:

P(Service\ Brokerage\ or\ Online) = 60\% + 30\% - 24\%

P(Service\ Brokerage\ or\ Online) = 66\%

<em>Hence, the required probability is 66%</em>

7 0
2 years ago
Other questions:
  • Find the zeros of the function. Write the smaller solution first, and the larger solution second. f ( x ) = ( x − 1 ) 2 − 36
    15·1 answer
  • Which shows a difference of squares?
    5·1 answer
  • Consider the expression (-15) + 8. Describe a situation that could be represented by the expression. Then, find the sum and expl
    12·1 answer
  • Of the 206 bones in the human skeleton, 106 are in the hands and feet. What fraction of these bones is not in the hands and feet
    12·1 answer
  • Need help with a,b,c! D: helpzzz
    13·1 answer
  • What is 26 1/2 divided by 6 5/8
    13·1 answer
  • Classify the pair of angles.<br> one is 55 and one is 35
    14·1 answer
  • The area of a circle is 100 pie. What is the radius?<br> A 25<br> B) 10<br> C 50<br> D) 5
    5·1 answer
  • Farad wrote the expression 32 - 8f to represent
    12·2 answers
  • What calculation is modeled on the number line?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!