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kati45 [8]
3 years ago
15

Expand and combine like terms. (3c^4-5c^6)^2

Mathematics
1 answer:
lora16 [44]3 years ago
4 0

Answer:

9c^{8} -30c^{10} + 25c^{12}

Step-by-step explanation:

We can use formula (a-b)² = a² -2ab + b².

In our example a = 3c^4 and b = 5c^6

(3c^{4} - 5c^{6})^{2} = [3c^{4} ]^{2} - 2*3c^{4} *5c^{6} + [5c^{6}]^{2}=\\=9c^{8} -30c^{10} + 25c^{12}

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a hat contains 2 red apples and 3 green apples. a bucket contains 7 red apples and 3 green apples. a container is selected at ra
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Answer:

15

Step-by-step explanation:

8 0
3 years ago
A carpenter must pick up a wooden beam from the Home Depot. The wooden beam is 12 feet long. The bed of his truck is 5.5 ft by 8
rosijanka [135]

Answer:

Beam stick out = 2.09 ft

Step-by-step explanation:

Given:

Length of wooden beam = 12 ft

Side of bed =  5.5 ft by 8 ft by 2 ft

Find:

Length of wooden beam needed.

Computation:

Length\ of \ diagonal = \sqrt{a^2+ b^+ c^} \\\\\\ Length\ of\ diagonal =  \sqrt{5.5^2+ 8^2+ 2^2}\\\\ Length\ of\ diagonal =  \sqrt{30.25+64+4}\\\\Length\ of\ diagonal =  \sqrt{98.25}\\\\Length\ of\ diagonal =  \sqrt{30.25+64+4}\\\\Length\ of\ diagonal = 9.91

Length of wooden beam needed = 9.91 ft

Beam stick out = 12 ft - 9.91 ft

Beam stick out = 2.09 ft

4 0
4 years ago
Last year, ginger cost $15 per kilogram. Due to a harvest shortage this year, the price of ginger has to increase by 15% per kil
Anastaziya [24]
<h3>Answer:    17.25 dollars</h3>

=======================================================

Explanation:

15% of 15 = 0.15*15 = 2.25

The cost has increased by $2.25 which means the cost per kilogram is now 15+2.25 = 17.25 dollars

------------

As a slight shortcut, we can multiply the old cost (15) by the multiplier 1.15 to get the same result:

1.15*15 = 17.25

This method allows us to chain together many percentage increases, and it also allows us to include percentage decreases as well. Note how 1.15 is basically the result of 100% + 15% = 1.00+0.15 = 1.15

4 0
3 years ago
A library association plans to take an SRS of 150150150 adults from the population of adults in the US to see what proportion of
Serga [27]

Answer:

Mean: =0.76

SD= (squarerootof) 0.76(0.24)/150

Step-by-step explanation:

3 0
3 years ago
If Speed=80Km/h and Time=2hr then Find distance in Km?
Ksju [112]

Answer:

Distance = 160km

Step-by-step explanation:

According to the Question ,

  • Speed = 80km/hr
  • Time = 2hr
  • Distance = ?

We know the formula of speed as ,

\implies Speed \times Time = Distance \\\\\implies Distance = 80km/hr \times 2hr \\\\\implies \boxed{\boxed{ Distance = 160\ km}}

4 0
3 years ago
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