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olganol [36]
3 years ago
6

A dolphin jumps 54 times in a 6 hour

Mathematics
1 answer:
Kazeer [188]3 years ago
8 0

Answer:

18  jumps would be  expected in a 2 hour period.        

Step-by-step explanation:

Given : A dolphin jumps 54 times in a 6 hour  period.

To find : At this rate, how many jumps would be  expected in a 2 hour period?​

Solution :

Applying unitary method,

In 6 hour period Dolphin jumps 54 times.

In 1 hour period Dolphin jumps \frac{54}{6} times.

In 1 hour period Dolphin jumps 9 times.

In 2 hour period Dolphin jumps 2\times 9 times.

In 2 hour period Dolphin jumps 18 times.

Therefore, 18  jumps would be  expected in a 2 hour period.

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Add 2x4 - 6x3 + 5x to the difference between 9x3 + 8x2 - 2 and 4x4 - 2x2 + 8x - 5.
DedPeter [7]

Simplify (x3 +  3x2 + 5x – 4) –  (3x3 – 8x2 – 5x + 6)

The first thing I have to do is take that "minus" sign through the parentheses containing the second polynomial. Some students find it helpful to put a "1" in front of the parentheses, to help them keep track of the minus sign.

Here's what the subtraction looks like, when working horizontally:

(x3 + 3x2 + 5x – 4) – (3x3 – 8x2 – 5x + 6)

(x3 + 3x2 + 5x – 4) – 1(3x3 – 8x2 – 5x + 6)

(x3 + 3x2 + 5x – 4) – 1(3x3) – 1 (–8x2) – 1(–5x) – 1(6)

x3 + 3x2 + 5x – 4 – 3x3 + 8x2 + 5x – 6

x3 – 3x3 + 3x2 + 8x2 + 5x + 5x – 4 – 6

–2x3 + 11x2 + 10x –10

And here's what the subtraction looks like, when going vertically:

x

3

−(3x

3

​

 

+3x

2

−8x

2

​

 

+5x

−5x

​

 

−4

+6)

​

​

In the horizontal addition (above), you may have noticed that running the negative through the parentheses changed the sign on each and every term inside those parentheses. The shortcut when working vertically is to not bother writing in the subtaction sign or the parentheses; instead, write the second polynomial in the second row, and then just flip all the signs in that row, "plus" to "minus" and "minus" to "plus".

\

x

3

–3x

3

−2x

3

​

 

+3x

2

+8x

2

+11x

2

​

 

+5x

+5x

+10x

​

 

−4

–6

−10

​

​

Either way, I get the answer:

–2x3 + 11x2 + 10x – 10

4 0
2 years ago
Help ASAP Jake took out an interest-free loan of $2,401.56 from the bank to buy a car. He paid the bank $200.13 each month until
Bezzdna [24]

Answer:

<em>Answer: D. Jake paid his loan in 12 months</em>

Step-by-step explanation:

Jake took out an interest-free loan of $2,401.56 from the bank to buy a car.

Since he has to pay no interest for the loan, the monthly payments are totally used to cover the amount of the loan.

He paid the bank $200.13 each month, thus the total months needed to pay the loan is:

\frac{\$2,401.56 }{\$200.13}=12

Answer: D. Jake paid his loan in 12 months

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3 years ago
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