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NeTakaya
4 years ago
11

Simplify the following radical expression : 3√12 × 5√6

Mathematics
1 answer:
Hoochie [10]4 years ago
7 0
3 \sqrt{12} *5 \sqrt{6} = 15 \sqrt{72}.

Simplifying the radical, we have <u />15 \sqrt{72} = 15*6 \sqrt{\frac{72}{6^{2}} } =90 \sqrt{2}, so our answer is 90 \sqrt{2}.
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A certain animated movie earned $ 1 . 1 ? 1 0 9 $1.1?10 9 in revenues at the box office. The movie lasts 9 . 1 ? 1 0 1 9.1?10 1
Leokris [45]

Answer:

$1.21\times 10^{7} per minute.

Step-by-step explanation:  

We have been given that a certain animated movie earned $1.1\times10^{9} in revenues at the box office. The movie lasts 9.1\times10^{1} minutes.

To find the revenue earned per minute of the movie we will will divide 1.1\times10^{9} by 9.1\times10^{1}.

\text{The revenue earned per minute by the movie}=\frac{1.1*10^{9}}{9.1*10^{1}}  

Using quotient rule of exponents we will get,

\text{The revenue earned per minute by the movie}=\frac{1.1}{9.1}*10^{(9-1)}

\text{The revenue earned per minute by the movie}=\frac{1.1}{9.1}*10^{8}

\text{The revenue earned per minute by the movie}=0.1208791208791209\times 10^{8}

We can write 0.1208791208791209 as 1.208791208791209\times10^{-1}.

\text{The revenue earned per minute by the movie}=1.208791208791209\times 10^{-1} \times 10^{8}

Using product rule of exponents we will get,    

\text{The revenue earned per minute by the movie}=1.208791208791209\times 10^{-1+8}    

\text{The revenue earned per minute by the movie}=1.208791208791209\times 10^{7}

Upon rounding our answer to two decimal places we will get,

\text{The revenue earned per minute by the movie}=1.21\times 10^{7}      

Therefore, the movie had earned a revenue of $1.21\times 10^{7} per minute.

7 0
4 years ago
Read 2 more answers
Pls anwers pls friend fast pls
Natalija [7]

Answer:

(b) (a) (d) (a) (c)

Step-by-step explanation:

(i) The probability of an even card is 1/2 because the number of even cards and odd cards are the same so there is a 50% of getting an even card. (b)

(ii) Since the card is replaced, there is still a card for all numbers between 1-20. There are 8 prime numbers and 20 cards so the probability of getting a prime number is 8/20 or 4/10 or 2/5. (a)

(iii) The card was not replaced so there are only 19 cards and there are only 5 numbers that are multiples of 3 and greater than 4. The probability must be 5/19. (d)

(iv) A sure event means that it will happen 100%. So P(A) = 1 since the number one represents 100%. (a)

(v) All cards have replaced and there is only one number that is a multiple of 3 and 5 which is 15. 1 card out of 20 is a desired outcome so 1/20 is the probability. (c)

7 0
3 years ago
Philip buys a pack of markers for $1.29, a pencil for $0.84, and an eraser for $0.79. How much does he spend altogether
Tom [10]

Answer:

Not sure what you are looking for but... I believe the answer is $2.92

Step-by-step explanation:

7 0
3 years ago
A game used a standard of six sided dice what is the probability it will be a five<br>​
wolverine [178]

Answer:

1/6

Step-by-step explanation:

As mentioned, a regular dice has 6 sides: each labeled numbers 1 through 6. There are a total of 6 outcomes, so the denominator is 6. Since there is only a single 5 on the dice, the numerator is 1.

Therefore, the probability is 1/6.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

5 0
3 years ago
Help me please I beg
Readme [11.4K]

As far as I understand A)

4 0
3 years ago
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