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3 years ago

What's the difference between Direct and Inverse Proportion? Please explain

Mathematics

2 answers:

Marat540 [252]3 years ago

7 0

Answer:

Step-by-step explanation:

The answer is that with direct variation, the value and the quantity changes and goes according, either lower or higher, but with inverse variation, the value can go higher, and the quantity can go lower, and the quantity can go higher, but the value can be lower.

natulia [17]3 years ago

6 0

Answer: Direct means when x goes up y also goes up, inverse means when x goes up, y goes down and vice versa.

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While in orbit, a space shuttle travels at a speed of 28,200 kilometers per hour. What is the total number of kilometers travele

kogti [31]

Answer:

The distance is 676,800 kilometers, which in scientific notation has a value of 6.748*10⁵ kilometers.

Step-by-step explanation:

A space shuttle travels at a speed of 28,200 kilometers per hour. Given that in 1 day there are 24 hours, it is possible to apply the following rule of three: if in 1 hour the space shuttle travels 28,200 kilometers, in 24 hours how much distance will the space shuttle travel?

$distance=\frac{24 hours*28,200 kilometers}{1 hour}$

distance= 676,800 kilometers

Scientific notation is a quick way to represent a number using powers of base ten. This notation is used to be able to express very large or very small numbers very easily.

The numbers are written as a product:

a*10ⁿ

where:

a is a real number greater than or equal to 1 and less than 10, to which a decimal point is added after the first digit if it is a non-integer number.
n is a whole number, which is called an exponent or an order of magnitude. Represents the number of times the comma is shifted. It is always a whole number, positive if it is shifted to the left, negative if it is shifted to the right.

To write the number 676,800 in scientific notation, perform the following steps:

The decimal point is moved to the left as many spaces until it reaches the right of the first digit. This number is then written, which will be the coefficient a in the expression of the previous product. In this case a=6.76800= 6.748

The base 10 is written with the exponent equal to the number of spaces that the comma moves. This is a positive number because the comma is shifted to the left. In this case n= 5

Then, the distance is 676,800 kilometers, which in scientific notation has a value of 6.748*10⁵ kilometers.

5 0

3 years ago

3 x 3 x 3 x 3 + 2 x 5 =

JulijaS [17]

Answer:

Step-by-step explanation:

3 x 3 x 3 x 3 + 2 x 5 =

9 x 3 x 3 + 2 x 5 =

27 x 3 + 2 x 5 =

81 + 2 x 5 =

81 + 10 =

91

3 0

3 years ago

Read 2 more answers

Describe a situation in your life when you need to know how to find a starting time

taurus [48]

Running laps and timing them

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4 years ago

A scatter plot is shown with the title Jordans Hot Chocolate Sales. The x axis is labeled High Temperature and the y axis is lab

Anastasy [175]

Answer:

First Part;

As the temperature in the city increases, the number of cups of hot chocolate sold decreases

Second Part;

The approximate value of the slope in number of cups sold per change in temperature is -0.12222

The approximate value of the y-intercept is 20.944 degrees temperature

Step-by-step explanation:

Question;

First Part

What is the relationship between temperature in the city and the number of cups of hot chocolate sold, using your own words

Second Part

How can the line of best fit be made. Give the approximate values of the slope and the y-intercept of the line of best fit

Explanation

The data points are presented in the following table;

$\begin{array}{lcl}x&&y\\20&&20\\30&&18\\40&&20\\35&&15\\50&&20\\45&&20\\60&&14\\65&&18\\80&&10\\70&&8\\40&&2\end{array}$

A scatter plot is formed from the given data using MS Excel

First part;

From the values of the number of cups sold, y, and the temperature at which they are sold, x, there is correlation between the x and y values, such that as the temperature increases, the number of cups sold decreases, the becomes more rapid as the temperature increases past 50, such that the reason for taking the hot chocolate decreases with increasing temperature

Second Part;

The line of best fit can be found using the least squares regression formula to draw a straight line from the regression equation as follows;

y = a + b·x

$b = \dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }$

a = $\bar y$ - b· $\bar x$

Where;

b = The slope

a = The y-intercept

From MS Excel, we have;

$\bar y$ = 15, $\bar x$ = 48.63636

$\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) = -410$

$\sum \left(x_i - \bar x\right )^2 = 3354.545$

Therefore;

$b = \dfrac{-410}{3354.545} = -0.12222$

The approximate value of the slope, b = -0.12222 (number of cups sold per unit change in temperature)

a = 15 - (-0.12222)×48.63636 ≈ 20.944

The approximate value of the y-intercept, a = 20.944 (in degrees of temperature).

3 0

3 years ago

21 22 23 24 25 Won has a container with the shape below. A rectangular prism with length of 18 centimeters, width of 10 centimet

dalvyx [7]

Answer:

2nd statement

3rd statement

4th statement

Step-by-step explanation:

The 2nd statement we know is true since the container was already described with a rectangular pyramid and a rectangular prism.

The 3rd statement is true since the volume for a rectangular prism is,

V=wlh or V=bh (b=wl)

The volume of a rectangular pyramid is

V=1/3*wlh or V= 1/3*bh (b=wl)

The 4th statement is true since the formula for the volume of this container is V=wlh+wlh/3. So substitute the values of the rectangular prism and rectangular pyramid and,

V=10*18*12+(18*10*10)/3

V=2160+1800/3

V=2160+600

V=2760

3 0

3 years ago

What's the difference between Direct and Inverse Proportion? Please explain ​

What's the difference between Direct and Inverse Proportion? Please explain