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Kobotan [32]
3 years ago
13

I keep forgetting the process for this: 3(x^2 + 5)(x^2 - 5) Can someone help?

Mathematics
1 answer:
Snezhnost [94]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

Note that (x² + 5)(x² - 5) are the factors of a difference of squares

a² - b²  = (a + b)(a - b)

with a = x² and b = 5, hence

(x² + 5)(x² - 5) = (x²)² - 5² = x^{4} - 25, thus

3(x^{4} - 25) = 3x^{4} - 75

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Tema [17]

1) The volume of the beach ball when fully inflated is 47690 cubic centimeters.

2) The value of x is 3.

<u>Step-by-step explanation:</u>

It is given that, an inflatable beach ball has a circumference of 141.3 centimeters.

<u>1) To find the volume of the beach ball :</u>

Use the formula for volume of sphere to find the volume of beach ball when fully inflated.

Volume of sphere = (4/3)πr³

where, r is the radius of the sphere and π has the default value of 3.14.

<u>To find the radius :</u>

The given circumference is 141.3 = 2πr

⇒ r = 141.3 / 2π

⇒ r = 141.3 / (2×3.14)

⇒ r = 141.3 / 6.28

⇒ r = 22.5

Now, substituting r= 22.5 in the volume of sphere formula

Volume of sphere = (4/3) ×3.14× (22.5)³

⇒ 4/3 ×3.14 ×11391

⇒ (12.56×11391) / 3

⇒ 47690 cubic centimeters

The volume of the beach ball when fully inflated is 47690 cubic centimeters.

<u>2) The given equation is </u>4^{x} = 64<u></u>

⇒ 64 = 4×4×4

⇒ 64 = 4³

Therefore, the value of x is 3.

6 0
3 years ago
2. Convert 9% to a fraction and a decimal.
Furkat [3]

Answer:

0.09 decimal 9/100 fraction

Step-by-step explanation:

4 0
3 years ago
I will give brainliest answer
andrezito [222]

Answer:

The answer would be 12.571428571 units or 12.57units.

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3 years ago
A green ribbon is 9 inches long. A red ribbon is 1/10 the length of the green
salantis [7]
1/10 of 9 is .9 inches 


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I neeed helppp please help me
r-ruslan [8.4K]

Answers:

  • A) The equation is d = 2t
  • B) Independent variable = time; dependent variable = amount of cookies

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

Explanation:

The independent variable is always long the horizontal axis. Often this is x, but we are using t in this case.

The variable t represents the amount of time in minutes. For instance, t = 2 means 2 minutes have elapsed. At this time, 4 cookies have been eaten as shown by the point (2,4). As another example, the point (3,6) means that d = 6 cookies have been eaten at time t = 3 minutes.

The equation is d = 2t because the '2' represents the rate of change of "eating 2 cookies per minute". Whatever the time value (t) is, we double it to get the value of d, which is the number of cookies eaten.

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