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Brums [2.3K]
3 years ago
15

Y is directly proportional to the positive square root of x.

Mathematics
1 answer:
maxonik [38]3 years ago
6 0

Answer:

y = 2

Step-by-step explanation:

from the question which says that y is directly proportional to the positive square root of x can be expressed mathematically by saying

y ∝ √x

y = k√x..................................................... where k is the constant of proportionality.

y = 12, x = 9 , k = ?

from

y = k√x

12 = k√9

12 =3k

divide both sides by the coefficient of k which is 3

12/3 = 3k/3

4 = k

therefore K = 3

now, to find the value of y when x = 1/4

from y = k√x

y = 4√1/4

y = 4 × 1/2

y = 2

therefore the value of y when x = 1/4  in this expression y = k√x  is 2

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Lelechka [254]

Answer:

30:1

Step-by-step explanation:

1. Look at the graph and follow along the lines.

2. When x is 1 in hours then cakes are 30.

3. So we can write the ratio from cakes to hours.

4. The ratio is 30:1.

5 0
3 years ago
craig likes to collect records. last year he had 10 records in his collection. now he has 15 records. what is the percent increa
schepotkina [342]

Answer:

His collection increased in a 20%.

Step-by-step explanation:

If 100% represents 10 records, what percentage would be for 12 records?

x = 12 100% / 10 = 120%

So, if we subtract 120% - 100%, it's gonna result in a difference of 20%, which means that 12 represents a 20% more, or his collection increased in a 20%.

7 0
2 years ago
How many units is 1 from -6 on a number line
iVinArrow [24]
Find this by subtracting the two terms and then finding the absolute value of the difference.

1-(-6)= 7
|7|= 7

Final answer: 7
8 0
3 years ago
Each of the 25 balls in a certain box is either red, blue or white and has a number from 1 to 10 painted on it. If one ball is t
Aneli [31]

Answer:

Not sufficient information

Step-by-step explanation:

Probability of white ball: P(W)

Probability of even number: P(E)

Probability of white ball or even number: P(W∨E) is asked

Considering case (1):

Probability of white ball and even number: P(W∧E) = 0

And we know that,

P(W∨E) = P(W) + P(E) - P(W∧E) = P(W) + P(E) - 0 = P(W) + P(E)

It is not sufficient to calculate the desired probability.

Considering case (2):

P(W) - P(E) = 0.2

Here, it is possible for P(W) and P(E) to get multiply values.

So P(W∨E) cannot be determined.

Considering cases (1) & (2):

P(W∧E) = 0 and P(W) - P(E) = 0.2

So, P(W∨E) = P(W) + P(E) = P(E) + 0.2 + P(E) = 2P(E) + 0.2

Again multiple answers are possible.

Such as, for P(E) = 0.4 (10 even balls) ⇒ P(W∨E) = 1

but for P(E) = 0.2 (5 even balls) ⇒ P(W∨E) = 0.6

So, the information are not sufficient.

3 0
3 years ago
Find the value of x.
Cerrena [4.2K]
x^2 + (x + 3)^2 = (\sqrt{117})^2

x^2 + x^2 + 6x + 9 = 117

2x^2 + 6x -108 = 0

x^2 + 3x - 54 = 0

(x + 9)(x - 6) = 0

x + 9 = 0 ~~or~~ x - 6 = 0

x = -9 ~~ or~~ x = 6

Since the side of a triangle cannot have a negative length, we discard the solution x = -9.

Answer: x = 6
3 0
3 years ago
Read 2 more answers
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