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nikitadnepr [17]
2 years ago
11

Find the constant of proportionality

Mathematics
1 answer:
hichkok12 [17]2 years ago
8 0

The constant of proportionality is 0.1

<h3>Complete question</h3>

Find the constant of proportionality (r)in the equation y=rx.

r =

x    y

14  1.4

16  1.6

21  2.1

<h3>How to determine the constant of proportionality?</h3>

The equation is given as:

y = rx

When x = 14 and y = 1.4, we have:

1.4 = r * 14

Divide both sides by 14

r = 0.1

Hence, the constant of proportionality is 0.1

Read more about constant of proportionality at:

brainly.com/question/11763602

#SPJ1

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Now simplify the y-terms to get the equation of the parabolic path. You do not need to expand the x-term. (2 points) Hint: Squar
aalyn [17]

The simplified equation of (x - 10)^2 + (y- 6)^2 = 4^2 is y = 6+  \sqrt{16 - (x - 10)^2}

<h3>How to determine the simplified equation?</h3>

The complete question is added as an attachment

The equation is given as

(x - 10)^2 + (y- 6)^2 = 4^2

Subtract (x - 10)^2 from both sides

(y- 6)^2 = 4^2 - (x - 10)^2

Evaluate 4^2

(y- 6)^2 =16 - (x - 10)^2

Take the square root of  both sides

y- 6= \sqrt{16 - (x - 10)^2}

Add 6 to both sides

y = 6+  \sqrt{16 - (x - 10)^2}

Hence, the simplified equation of (x - 10)^2 + (y- 6)^2 = 4^2 is y = 6+  \sqrt{16 - (x - 10)^2}

Read more about simplified equation at:

brainly.com/question/723406

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6 0
2 years ago
For each of parts (a) through (d), indicate whether we would generally expect the performance of a flexible statistical learning
olga_2 [115]

Step-by-step explanation:

First, note that a flexible statistical learning method refers to using models that take into account agree difference in the observed data set, and are thus adjustable. While the inflexible method usually involves a model that has no regard to the kind of data set.

a) The sample size n is extremely large, and the number of predictors p is small. (BETTER)

In this case since the sample size is extremely large a flexible model is a best fit.

b) The number of predictors p is extremely large, and the number of observations n is small. (WORSE)

In such case overfiting the data is more likely because of of the small observations.

c) The relationship between the predictors and response is highly non-linear. (BETTER)

The flexible method would be a better fit.

d) The variance of the error terms, i.e. σ2=Var(ϵ), is extremely high. (WORSE)

In such case, using a flexible model is a best fit for the error terms because it can be adjusted.

6 0
3 years ago
If ||M and M6 = 4X - 15 and m7 = x + 30 then m 6 =​
TEA [102]

Answer:

<h2>15</h2>

Step-by-step explanation:

∠6 and ∠7 are Alternate Interior Angles.

The lines l and m are parallel, therefore ∠6 and ∠7 are congruent.

m∠6 = m∠7 → 4x - 15 = x + 30        <em>add 15 to both sides</em>

4x = x + 45          <em>subract x from both sides</em>

3x = 45            <em>divide both sides by 3</em>

x = 15

8 0
4 years ago
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Is it easier to subtract when the numbers are written above and below each other ?
Bogdan [553]
It is easier to subtract below
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Determine the sign of the value based on the quadrant containing the terminal side. Because −135° terminates in quadrant the sin
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Answer:

Quadrent  III

Step-by-step explanation:

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