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viktelen [127]
2 years ago
8

Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio langu

age can help.)
Sentence : "I did 60 brush strokes in 1 minute"
Mathematics
1 answer:
kodGreya [7K]2 years ago
8 0

The dependent and the independent variable in the relationship y=60x are y and x respectively.

<h3>
What are Independent and dependent variables?</h3>

The Independent variables are variables whose value does not depend on any other variable. And it causes the change in other variables.

The dependent variable is those variables whose value is not independent and change in this variable is dependent on the change of the independent variable.

Given that you did 60 brush strokes in 1 minute. Therefore, the rate can be written as,

Rate = 60 strokes per minute

Now, the number of stokes in x minutes can be written as,

y = 60x

where y is the number of stokes,

x is the number of minutes

In the above relation, y is the dependent variable because its numerical value depends on time, while x is the independent variable.

Hence, The dependent and the independent variable in the relationship y=60x are y and x respectively.

Learn more about Independent and Dependent Variable:

brainly.com/question/1479694

#SPJ1

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Fittoniya [83]
To have a weight of 2.21N., the ball's mass is (2.21/9.8) = .226kg. 
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<span>b) Acceleration of the ball = (v/t), = 18/.17, = 105.88m/sec^2. </span>
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4 0
4 years ago
What the second answer ​
Debora [2.8K]

Answer:

1. y' = 3x² / 4y²

2. y'' = 3x/8y⁵[(4y³ – 3x³)]

Step-by-step explanation:

From the question given above, the following data were obtained:

3x³ – 4y³ = 4

y' =?

y'' =?

1. Determination of y'

To obtain y', we simply defferentiate the expression ones. This can be obtained as follow:

3x³ – 4y³ = 4

Differentiate

9x² – 12y²dy/dx = 0

Rearrange

12y²dy/dx = 9x²

Divide both side by 12y²

dy/dx = 9x² / 12y²

dy/dx = 3x² / 4y²

y' = 3x² / 4y²

2. Determination of y''

To obtain y'', we simply defferentiate above expression i.e y' = 3x² / 4y². This can be obtained as follow:

3x² / 4y²

Let:

u = 3x²

v = 4y²

Find u' and v'

u' = 6x

v' = 8ydy/dx

Applying quotient rule

y'' = [vu' – uv'] / v²

y'' = [4y²(6x) – 3x²(8ydy/dx)] / (4y²)²

y'' = [24xy² – 24x²ydy/dx] / 16y⁴

Recall:

dy/dx = 3x² / 4y²

y'' = [24xy² – 24x²y (3x² / 4y² )] / 16y⁴

y'' = [24xy² – 18x⁴/y] / 16y⁴

y'' = 1/16y⁴[24xy² – 18x⁴/y]

y'' = 1/16y⁴[(24xy³ – 18x⁴)/y]

y'' = 1/16y⁵[(24xy³ – 18x⁴)]

y'' = 6x/16y⁵[(4y³ – 3x³)]

y'' = 3x/8y⁵[(4y³ – 3x³)]

6 0
3 years ago
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<span>By the Pythagorean theorem:

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</span>
4 0
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A research article reports the results of a new drug test. The drug is to be used to decrease vision loss in people with Macular
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Answer:

A. Valid

Step-by-step explanation:

The P-value is the probability of getting this result or sample statistic if the null  hypothesis is true. That is why a low P-value (smaller than the significance level) is considered evidence to reject the null hypothesis, because the result has little probability of being due to chance.

The statement that the P-value is "the probability of getting results as extreme as or more extreme than the ones in this study if the drug is actually not effective" is valid, as the null hypothesis states generally the opposite of the objective of the study (demonstrate that the drug is effective), and the very low value of the P-value is indicative that this result, if the drug was not effective, has a very low probability.

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