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3 years ago

If p is inversely proportional to the square of q, and pis 24 when q is 11,

Mathematics

2 answers:

jonny [76]3 years ago

5 0

Answer:

p = 12 × 11²

Step-by-step explanation:

By question,

=> p ∝ 1/q²

=> p = k/q²

When p is 24 and q is 11

=> 24 = k/11²

=> k = 24 * 11²

When q is 2 ,

=> p = k/q²

=> p = 24*11²/2

=> p = 12 × 11²

alexandr402 [8]3 years ago

4 0

Answer:

726

Step-by-step explanation:

Here p = k / q², and 24 = k / 121, or k = 2904

Then p = 2904 / q²

If q = 2, p = 2904 /4 = 726

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there are a 100 student in a garde 79 students has honors what deciaml best represents the amount that the student honors

gogolik [260]

There are 100 students. In the 100 students, 79 of them have honors. To find the decimal form for the students who have honors, divide the total amount of students with honors with the total amount of students.

$\frac{Honors}{Total} = \frac{79}{100}$

Divide 79 by 100

$79 \div 100 = 0.79$

Your answer is 0.79

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3 years ago

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Shkiper50 [21]

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3 years ago

HELP PLEASE LOTS OF POINTS!!

Paladinen [302]

Answer:

Thus, f and g are inverse functions

Step-by-step explanation:

Inverse Functions

If two functions f(x) and g(x) are inverses, then it follows that:

$f\circ g(x)=x$

Or:

$g\circ f(x)=x$

We are given

$\displaystyle f(x)=\frac{1}{4}x-6$

$g(x)=4x+24$

Let's test if they are inverse functions:

$f\circ g(x)=\frac{1}{4}(4x+24)-6$

Simplifying:

$f\circ g(x)=x+6-6=x$

Now find:

$\displaystyle g\circ f(x)=4\left(\frac{1}{4}x-6\right)+24$

Operating:

$\displaystyle g\circ f(x)=x-24+24=x$

Thus, f and g are inverse functions

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3 years ago

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Furkat [3]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

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