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2 years ago

What is the constant of variation for the quadratic variation? 0.1y = 3x2

Mathematics

1 answer:

svet-max [94.6K]2 years ago

6 0

Answer:

The constant of variation for the given quadratic equation is, 30

Step-by-step explanation:

One of the form of a quadratic equation is written as:

$y = kx^2$ ....[1]

where k is the coefficient and for this case the constant of variation.

In order to obtain the answer for the given equation, we write the given equation to the form above.

$0.1y=3x^2$ or

$y=(\frac{3}{0.1})x^2$ or

$y=30x^2$

Comparing this equation with equation [1], to get the value of k;

k=30.

therefore, the constant of variation is, 30.

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A stadium asked for $760,000 for naming rights. During a bidding war for the stadium naming rights, one company bid 7% more than

alex41 [277]

Answer:

$\$\ 829464$

Step-by-step explanation:

Bid of first company:

Bid is $7\%$ more

$7\%$ of $760000=\frac{7}{100}\times760000=53200$

Bid of first $=760000+53200=813200$

Bid of second company:

Bid of second is $2\%$ greater than that of first

$2\%$ of first bid $=\frac{2}{100}\times 813200=16264$

Hence Bid of second company $=813200+16264=829464$

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1 year ago

A store sold a certain brand of jeans for $38 one day, the store sold 6 pair of jeans of that brand. How much did the 6 pairs of

baherus [9]

6 pairs of jeans would cost $228.

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1 year ago

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A program that was intended to cure a person’s fear of spiders was offered at a local zoo. Volunteers with a fear of spiders par

fiasKO [112]

Answer:

Option E

Step-by-step explanation:

The volunteers held spider for 15 minutes

90% of participants confessed that they were cured from the fear of spider

The available statement describes the 90% of the participants claimed they were cured of their fear of spiders. The statement also states that the participants held spider for 15 minutes only. These two parameters are only combined in one answer, option E which captures both. Therefore, we can rightfully conclude that the results can be generalized to the population of all people who have a fear of spiders.

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2 years ago

The lines y=3x-1 and y=ax+2 are perpendicular if a=___

mezya [45]

Answer:

$a = \frac{-1}{3}.$

Step-by-step explanation:

The equation of line in the form .

y = mx + c

Where m is the slope and c is the y- intercept .

As given

The lines y=3x-1 and y=ax+2 are perpendicular .

Here 3 is slope for equation of line y=3x-1 and a is slope for equation of line

y=ax+2 .

Now by using properties of the perpendicular lines property .

When two lines are perpendicular than slope of one line is negative reciprocal of the other line .

Thus

$a = \frac{-1}{3}$

Therefore $a = \frac{-1}{3}.$

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1 year ago

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There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track. 19 peop

Anna71 [15]

Answer:

1/9

Step-by-step explanation:

135 in Sport centre: Total

59:swimming pool

31:track

19 both swimming and gym

16 gym and track

4 all three facilities

4 people use all three facilities, then

16 - 4 = 12 people use the gym and the track and do not use the pool;

9 - 4 = 5 people use the pool and the track and do not use the gym;

19 - 4 = 15 people use the gym and the pool and do not use the track.

At least two facilities use 4 + 12 + 5 + 15 = 36 people, 4 of them use all three facilities. Thus, the probability that a randomly selected person which uses at least two facilities, uses all the facilities is

4/36=1/9

Hope this helps!!!

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2 years ago