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variation and matrices

Authored by Nur Athirah

Mathematics

9th - 12th Grade

Used 1+ times

variation and matrices
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17 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

P varies directly as the cube root of Q. Find the relation between P and Q.

P∝Q3P\propto Q^3

P∝1Q3P\propto\frac{1}{Q^3}

P∝Q13P\propto Q^{\frac{1}{3}}

P∝1Q13P\propto\frac{1}{Q^{\frac{1}{3}}}

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

It is given that S varies directly as T and inversely as the square root of U. Find the relation between S, T and U.

S∝U2TS\propto\frac{U^2}{T}

S∝TU2S\propto\frac{T}{U^2}

S∝TUS\propto\frac{T}{\sqrt{U}}

S∝UTS\propto\frac{\sqrt{U}}{T}

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

y varies directly as x and inversely as the square of z. Given that the constant is k,find the relation between x, y and z.

y=kx2zy=\frac{kx^2}{z}

y=kxz2y=\frac{kx}{z^2}

y=kxzy=\frac{kx}{\sqrt{z}}

y=kzxy=\frac{k\sqrt{z}}{x}

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

It is given that y varies directly as the square of x and inversely as the square root of z . If y = 8 when x = 4 and z = 36, 

y in terms of x and z is y=3x2zy=\frac{3x^2}{\sqrt{z}}  


True

False

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The value of y varies directly with x.  Which function represents the relationship between x and y if y = 14 when x = 6. 

y=20x
y=84x
y=7/3x
y=3/7x

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2?

14
10
2
-14

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

If f varies directly as g and inversely as the square of h, and f = 20 when g = 50 and h = 5, find f when g = 18 and h = 6.

4

5

8

10

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