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vovangra [49]
3 years ago
10

Y is inversely proportional to a^3

Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0

Answer:

y = 0.64/x^3

Step-by-step explanation:

If y is inversely proportional to a^3, we can write the equation:

y * a^3 = k

Using a = 2 and y = 10, we have:

10 * 2^3 = k

k = 80

If a is directly proportional to x, we can write the equation:

a = c * x

Using x = 4 and a = 20, we have:

20 = c * 4

c = 5

Now, using the value of a = 5*x in the equation y * a^3 = 80, we have:

y * (5x)^3 = 80

y * 125x3 = 80

y = 80/(125x3) = 0.64/x^3

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Which of the following equations best represents the regression line for the data given in the
True [87]

The regression equation for the data given is y= -8.57 -2.31x

Step-by-step explanation:

The first step is to form a table as shown below;

x           y          xy         x²         y²

1            4           4          1          16

2            1            2          4         1

3            5          15         9         25

4             10         40        16       100

5             16         80        25      256

6              19        114       36        361

7               15       105       49       225

28             60       360      140     984  ------sum

A linear regression equation is in the form of y=A+Bx

where ;

x=independent variable

y=dependent variable

n=sample size/number of data points

A and B are constants that describe the y-intercept and the slope of the line

Calculating the constants;

A=(∑y)(∑x²) - (∑x)(∑xy) / n(∑x²) - (∑x)²

A=(60)(140) - (28)(360)  / 7(140)-(28)²

A=8400 - 10080 /980-784

A= -1680/196

A= - 8.57

B= n(∑xy) - (∑x) (∑y) / n(∑x²) - (∑x)²

B= 7(360)-(28)(60) / 7(60) - (28)²

B=2520 - 1680 /420-784

B=840/-364

B= -2.31

y=A+Bx

y= -8.57 -2.31x

Learn More

Regression equation :brainly.com/question/12280902

Keywords : equations, regression line, data

#LearnwithBrainly

7 0
3 years ago
What is the area of an equilateral triangle that has 2 yards and a height of 4.25 ft?
RUDIKE [14]
The first thing you need to do is convert the yards into feet. In one yard there are three feet. So 2*3=6 now you can do the triangle area equation. 6*4.25=25.5 then divide by two. 25.5/2=12.75So the area of the triangle is 12.75 ft^2Hope this helps
5 0
3 years ago
Allam just finished a great meal at a restaurant in Wisconsin. The sales tax in Wisconsin is 5\%5%, and it is customary to leave
Kamila [148]
$18.00 total payment

$15.00 x .05(tax) =$  .75
$15.00 x .15(tip) =$ 2.25
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                       +    $15.00
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7 0
3 years ago
What is?Two consecutive odd integers have a sum of -44. What are two odd integers?
9966 [12]
Let one odd integer = x

other odd integer = x +2

Sum = x + x+2 = -44

=> 2x + 2 = -44

=> 2x = -44 -2 = -46

=> x = -46/2 = -23

x+2 = -23 + 2 = -21

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5 0
3 years ago
Bath and 1 yard of ribbon. She is 1/2 yard for project. She wants to divide the rest of the ribbon into pieces 1/4 yards long. H
ikadub [295]

Answer:

2

Step-by-step explanation:

Given:

Total length of ribbon = 1 yard

Length of ribbon used for project = \frac{1}{2} yard

Length of ribbon the rest of ribbon is to be divided = \frac{1}{4} yard

To find:

The number of ribbons of length \frac{1}{4} yard that can be made = ?

Solution:

Length of ribbon left after the 1 yard ribbon is used for project can be calculated by subtracting the length of ribbon used from the initial length of ribbon.

i.e.

Length of ribbon left = 1-\frac{1}{2} =\frac{1}{2} yard

Now, number of ribbon of length \frac{1}{4} yard can be found be dividing the length of ribbon left with the length of ribbon pieces to be cut.

i.e.

Number of ribbons:

\dfrac{\frac{1}{2}}{\frac{1}{4}}\\\Rightarrow \dfrac{1}{2}\times 4 = 2

3 0
3 years ago
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