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stiks02 [169]
2 years ago
15

Find the cube root of 27d3 + 54a2b + 36ab2 + 8b3​

Mathematics
1 answer:
enot [183]2 years ago
8 0

Answer:

 (3a + 2b)3

Step-by-step explanation:

STEP 1  :

Equation at the end of step 1

 (((27•(a3))+((54•(a2))•b))+(36a•(b2)))+23b3

Step 2:

(((27•(a3))+((54•(a2))•b))+(22•32ab2))+23b3

Step 3:

(((27•(a3))+((2•33a2)•b))+(22•32ab2))+23b3

Step 4:

 ((33a3 +  (2•33a2b)) +  (22•32ab2)) +  23b3

Step 5:

 Factoring:  27a3+54a2b+36ab2+8b3

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40% of OatyPop cereal boxes contain a prize. Hannah plans to keep buying cereal until she gets a prize. What is the probability
Lilit [14]

Answer:

the probability is 78.4%

Step-by-step explanation:

there are 3 scenarios

1) gets the price in the 1st box:

the probability is:

P = probability to obtain a price = 4/10= 40%

2) gets the price in the 2nd box

P= probability to fail in the fist box * probability to obtain a price

P= (6/10)*(4/10)=24/100 = 24%

3) gets the price in the 3rd box

P =probability to fail in the first box * probability to fail in the second box*probability to obtain a price =(6/10)*(6/10)*(4/10)=144/1000 = 14,4%

therefore the probability to obtain a price in 3 or less boxes is:

P = 40%+24%+14.4%= 78.4%

7 0
2 years ago
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3 A buoy is 30 feet from the shore. You swim 3/5 the way to the buoy. How much farther do you have to swim to reach the buoy?​
disa [49]

Answer:

12 feet

Step-by-step explanation:

30 divided by 5= 6

6 times 3= how far youve already swam(18 feet)

6 times 2= how far you have left(12 feet)

8 0
2 years ago
The average heights of four samples taken from a population of students are shown in the table. Which of these is most likely cl
Ne4ueva [31]

Answer:

It would be D, 62

Step-by-step explanation:

The sample size for the group with the average height is the highest, being at 40 instead of 30, 20, or 10, and therefore has the most accurate average height.

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2 years ago
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Drag each interval to a box to show if the function shown is increasing, decreasing, or neither over that interval.
prisoha [69]

Answer:

Increasing

−5<x<−1

−1<x<1

Decreasing

4<x<7

−8<x<−5

Neither Increasing nor Decreasing

1<x<4

Step-by-step explanation:

8 0
2 years ago
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105,159 rounded to the nearest ten thousand
ivolga24 [154]

For this case we have the following number:

105,159

By definition we have:

thousand place: five-digit number greater than zero.

On the other hand we have as a rule:

When the previous number is greater than or equal to five, then the next number increases by one.

So we have to round off to the nearest ten thousand:

105,159 = 110,000

Answer:

105,159 rounded to the nearest ten thousand is:

105,159 = 110,000

6 0
2 years ago
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