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Alisiya [41]
3 years ago
7

Y varies directly with the square of X.If y =5 when x=3,what is the value of y when x=9?​

Mathematics
1 answer:
natta225 [31]3 years ago
5 0

Answer:45

Step-by-step explanation:

y varies directly as x^2

y=k x x^2

When y=5 x=3

5=k x 3^2

5=k x 9

K=5/9

Relationship is y=5x^2/9

y=(5x9^2) ➗ 9

y=(5x81) ➗ 9

y=405 ➗ 9

y=45

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1) A chemist has 250 ml of a 5% acid solution. How much water should be added to this solution to reduce it to a 3% solution.
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153.1ml

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We have 12.5ml of acid in the solution.

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The length of a rectangle is three times it’s width, the perimeter of the rectangle is 56cm , find the length and width
Ierofanga [76]

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56cm / 8units = 7cm/unit

So, the length of the rectangle is 7cm/unit x 3 units, or 21 cm.

The width of the rectangle 1/3 of the length, or 7cm.

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Width: 7 cm

8 0
3 years ago
In previous​ tests, baseballs were dropped 24 feet onto a concrete​ surface, and they bounced an average of 92.82 inches. In a t
goblinko [34]

Answer:

There is sufficient evidence to support the claim that the new balls have bounce heights with a mean different from 92.8292.82 inches, and it appears that the new baseballs are​ different

Step-by-step explanation:

Given that in previous​ tests, baseballs were dropped 24 feet onto a concrete​ surface, and they bounced an average of 92.82 inches

But new balls showed mean of 92.6 inches with s = 1.72 inches

Sample size = 23

Since sample size is less than 30 and population std deviation is not know we use t test

H_0: \bar x = 92.82\\H_a: \bar x \neq 92.82

(Two tailed test at 5% significance level)

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Test statistic t = mean diff/std error = -3.402

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p value = 0.002559

since p value <5% we reject H0

There is sufficient evidence to support the claim that the new balls have bounce heights with a mean different from 92.8292.82 inches, and it appears that the new baseballs are​ different

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3 years ago
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