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Alex787 [66]
3 years ago
10

How many terms are in the expression 12+r to the third power

Mathematics
1 answer:
Maru [420]3 years ago
8 0

Answer:

There are 4 terms in the expansion of the given expression (12+r)^3

Therefore (12+r)^3=1728+r^3+432r+48r^2

Step-by-step explanation:

Given expression is (12+r)^3

To find how many terms in the expansion of the given expression :

(12+r)^3=12^3+r^3+3(12)^2r+3(12)r^2

=1728+r^3+3(144)r+48r^2

=1728+r^3+432r+48r^2

Therefore (12+r)^3=1728+r^3+432r+48r^2

There are 4 terms in the expansion of the given expression

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Leilani practiced piano for 3/5 of an hour. Sarah practiced piano for 7/8 of an hour.
ivolga24 [154]

Answer:

The number of hours did Sarah practice more than Leilani is \dfrac{11}{40}  hours  .

Step-by-step explanation:

Given as :

The time for which Leilani practiced piano = \dfrac{3}{5} hours

The time for which Sarah practiced piano = \dfrac{7}{8} hours

Let the number of hours did Sarah practice more than Leilani = T hours

<u>Now, According to question</u>

The number of hours did Sarah practice more than Leilani = \dfrac{7}{8} hours -  \dfrac{3}{5} hours

Or, T =  \dfrac{35-24}{40} hours

Or, T =  \dfrac{11}{40} hours

So,The number of hours did Sarah practice more than Leilani = T =  \dfrac{11}{40}  hours

Hence, The number of hours did Sarah practice more than Leilani is \dfrac{11}{40}  hours  . Answer

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3 years ago
What is b plus 14 written a expression
Romashka-Z-Leto [24]
Answer: b+14
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6 0
2 years ago
Find the standard deviation of 36,18,12,10 and 9
babunello [35]
The standard deviation of 36,18,12,10 and 9 is 10

6 0
3 years ago
Dolphin 1 dove 200 feet underwater. dolphin 2 dove 30% farther. After dolphin 2 dove down, it ascended 25.50 feet and the descen
fomenos

Answer:230 feet

Step-by-step explanation: Divide 200/30 to find the percentage. 30% of 200 is 15. Add the percentage to 200. Subtract 215 - 25.50. Then add 40.50.

7 0
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Read 2 more answers
What is the y-intercept of the function, represented by the table of values
AleksandrR [38]

Answer:

9

Step-by-step explanation:

The table is given below

\left|\begin{array}{c|cc}x&y\\--&--\\-2&15\\1&6\\2&3\\4&-3\\7&-12\end{array}\right|

We can see that the table represents a linear function since by checking its slope.

Using:

  1. Points (-2,15) and (1,6)
  2. Points (1,6) and (2,3)

Slope =\dfrac{6-15}{1-(-2)} =\dfrac{3-6}{2-1}=-3

Therefore, the values represent a linear function.

A linear equation is of the form y=mx+b

Therefore:

y=-3x+b

Using the points (7,-12)

-12=-3(7)+b\\-12=-21+b\\b=-12+21\\b=9

Therefore, the y-intercept of the function, represented by the table of values is 9.

6 0
3 years ago
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