3 years ago

What is the constant of variation, k, for the table?

Mathematics

1 answer:

allochka39001 [22]3 years ago

7 0

K = -2/3

Explanation:

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kobusy [5.1K]

$\text{Given that,}~\\\\\cot \theta = \dfrac 1{\sqrt 3} \\\\\\\text{So,}~~ \tan \theta = \dfrac 1{\cot \theta} = \sqrt 3\\\\\\\sec^2 \theta + \csc^2 \theta \\\\=(1+\tan^2 \theta) + (1 + \cot^2 \theta)\\\\=1 +\left (\sqrt 3 \right)^2 + 1 + \left(\dfrac 1{\sqrt 3} \right)^2\\\\=1 +3 + 1 + \dfrac 13 \\\\= 5 + \dfrac 13 \\\\= 5 \dfrac 13$

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2 years ago

A rectangular prism shaped fish tank is 14 in tall the perimeter of the base is 96 in the length of the base is 3 times the widt

Alla [95]

Using the given information find the length and width of the base:

Perimeter = 2L + 2W

L = 3W

Replace L in the first equation:

Perimeter = 2(3W) + 2w

96 = 2(3W) +2W

Simplify:

96 = 6W +2W

96 = 8w

Divide both sides by 8:

w = 96 / 8

w = 12

The width is 12 inches.

The length = 3 x 12 = 36 inches.

Volume = L x W X H

Volume = 36 x 12 x 14

Volume = 6,048 cubic inches.

5 0

3 years ago

Please help me with #24

stellarik [79]

Step-by-step explanation:

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3 0

3 years ago

Find the zero of the function /(x) = 5x-3.

Bad White [126]

Answer:

3/5

Step-by-step explanation:

Set it equal to 0

5x-3=0

Then solve for x

5x=3

x=3/5

Check

5(3/5) - 3

3-3

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3 years ago

The Math Honor Society has 100 members. There are 60 juniors and 40 seniors. The bylaws state that the president has to be a sen

melamori03 [73]

40 x 60 x 98 x 97
There are 40 seniors to be president, 60 juniors to be juniors, 98 people are left since 2 were elected for president and vice president. After the Secretary has been elected, there are 97 people left. SImply multiply the numbers. There are 22,814,400 ways.

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3 years ago

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