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Drupady [299]
2 years ago
10

Suppose that y is inversely proportional to the 4th power of x, and that y=16 when x=6. What is y when x=3? Round your answer to

two decimal places if necessary.
Mathematics
2 answers:
Ede4ka [16]2 years ago
7 0
Please I’m I right ??

Alexeev081 [22]2 years ago
4 0

Answer:

<u>y = 1</u>

Step-by-step explanation:

<u>Given</u>

  • y ∝ x⁴

⇒ y = kx⁴

<u>Finding the proportionality constant, k</u>

  • y = 16 and x = 3
  • 16 = k (6)⁴
  • 16 = 1296k
  • k = 16/1296
  • k = 1/81

<u>Finding y</u>

  • y = 1/81 x (3)⁴
  • y = 1/81 x (81)
  • <u>y = 1</u>
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Answer:

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2 years ago
A farm had 480 acres more wheat than corn. After the farmers collected 80% of the wheat and 25% of the corn, the area of the whe
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A farm had 480 acres more wheat than corn. Let use "W" to represent the Wheat and let use "C" to represent the corn. Hence, we have below:
W=C+480

The farmers collected 80% of the wheat and 25% of the corn and the area of the wheat is 300 acres less than the area of the corn:
W-0.8W=C-0.25C+300
0.2W=0.75C+300
We have two equations, two unknowns:
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Gary draws this sequence of patterns of white and grey squares. The sequence is continued. How many grey squares will there be w
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Answer:

20 gray squares

Step-by-step explanation:

Given

See attachment for squares

Required

Number of gray squares when white = 16

First, we calculate the equation that represents both squares.

<u>The white squares</u>

a = 2 --- initial

d = 4 - 2 = 6 - 4

d = 2 -- difference between successive gray squares

So, the nth term is:

W_n = a + (n - 1)d

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<u>The gray squares</u>

a = 6 --- initial

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So, the nth term is:

G_n = a + (n - 1)d

G_n = 6 + (n - 1) *2

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G_n = 4 + 2n

When the white squares is 16

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W_n = 2n

16 = 2n

8 = n

n = 8

To get the number of gray squares;

Substitute n = 8 in G_n = 4 + 2n

G_n = 4 + 2 * 8

G_n = 20

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Step-by-step explanation:

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Answer:

59

Step-by-step explanation:

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