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2 years ago

10 examples of direct and Inverse variation from our daily life

Mathematics

1 answer:

inna [77]2 years ago

8 0

Answer:

Direct Variation:

The number of family members are directly expenditures.
The number of fruit in kg directly proportional to price of fruit.
The number of selling products directly proportional to profit.
The distance covered by body directly proportional to speed of body
The acceleration produce in car directly proportional to change in velocity
The income is directly proportional to working hours.
The cost of electrical bill directly proportional to number of fans running in the house.
The quantity of water fill in tank is directly to time for which the motor is switch on.
The marks in study is directly proportional to hardworking.
The bank balance is directly proportional to amount of saving.

Inverse Variation:

1. The bank balance is inversely proportional to expenditures.

2. The number of family members (which not work) are inversely proportional to amount of saving.

3.The working days required to complete the work are inversely proportional to number of labors.

4. The velocity of body is inversely proportional to time.

5. The acceleration is inversely proportional to time.

6. The acceleration of body is inversely proportional to mass of body.

7. The number of student fail in the class is inversely proportional to number of qualify teachers and hardworking.

8. The battery power is inversely proportional to time for which it used.

9. The ability of do work hard is inversely proportional to age of man after youngness to onward.

10. The number of mistake in work is inversely proportional to practice.

Explanation:

Direct Variation: A relationship where one quantity is a constant multiplied by another quantity is called direct variation.

Inverse Variation: Inverse variation is defiend as the relationship between two variables in which the resultant product is a constant. If a is inversely proportional to b, the form of equation is a = k/b, where k is constant. Inverse variation is known as the opposite of direct variation. If there an increas ein one variable, the other variable decreases in proportion so that the resultant product remains unchanged.

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4 years ago

With out computing each sum find which is greater O or E and how much O=5+7+9+11...+101

nikitadnepr [17]

I think that O would be greater because the last numbers listed are 100 and 101 and O has the ending value of 101, which is greater than 100, so it only makes sense that O would be a greater number than E.

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3 years ago

Given the following sequence, find the 12th term: {2, -4, 8,...} -4096 4096 2048 -2048

Nata [24]

Answer:

- 4096

Step-by-step explanation:

There is a common ratio between consecutive terms of the sequence.

r = - 4 ÷ 2 = 8 ÷ - 4 = - 2

This indicates the sequence is geometric with n th term

$a_{n}$ = a $r^{n-1}$

where a is the first term and r the common ratio

Here a = 2 and r = - 2 , thus

$a_{12}$ = 2 × $(-2)^{11}$ = 2 × - 2048 = - 4096

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3 years ago

What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?

Ipatiy [6.2K]

Answer:

$x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}$

Step-by-step explanation:

$2x^2 - 10x - 3 = 0 \\\\a = 2 \ , b = - 10 \ , \ c = - 3 \\\\x = \frac{-b^2\ \pm \ \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{10 \ \pm \sqrt{(-10)^2 - ( 4 \times 2 \times -3)} }{2 \times 2}\\\\x = \frac{10 \ \pm \sqrt{(100 - ( -24 )} }{4}\\\\x = \frac{10 \ \pm \sqrt{(100 + 24 } }{4}\\\\x = \frac{ 10 \ \pm \sqrt{124}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{4 \times 31}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{2^2 \times 31}}{4}\\\\x = \frac{ 10 \ \pm2 \sqrt{31}}{4}\\\\x = \frac{ 5 \ \pm\sqrt{31}}{2}\\\\$

$x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}$

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3 years ago

Compute P7,2. (Enter an exact number.)

Katarina [22]

Answer:

Step-by-step explanation:

The permutation formula is P(n, r) = n! / (n - r)!. We know that n = 7 and r = 2 so we can write:

7! / (7 - 2)!

= 7! / 5!

= 7 * 6 * 5 * 4 * 3 * 2 * 1 / 5 * 4 * 3 * 2 * 1

= 7 * 6 (5 * 4 * 3 * 2 * 1 cancels out)

= 42

8 0

3 years ago

Read 2 more answers

10 examples of direct and Inverse variation from our daily life​

10 examples of direct and Inverse variation from our daily life