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2 years ago

7

Describe a situation with two quantities that have a proportional linear relationship.

1 answer:

juin [17]2 years ago

3 0

<span>The same question as the latter,

Pressure and Force
Density and mass
Force and acceleration

Proportional linear relationship introduces a direct variation between the variables involved meaning when one increase the other also increases. The greater the amount of force, the greater is the pressure is an example.

It introduces the relationship between two variables and is called correlation. Proportionality or variation is state of relationship or correlation between two variables It has two types: direct variation or proportion which states both variables are positively correlation. It is when both the variables increase or decrease together. On the contrary, indirect variation or proportion indicates negative relationship or correlation. Elaborately, the opposite of what happens to direct variation. One increases with the other variables, you got it, decreases. This correlations are important to consider because you can determine and identify how two variables relates with one another. Notice x = y (direct), y=1/x (indirect)</span>

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Find the least number by which 1470 must be divided to get a number which is the perfect square?

Nutka1998 [239]

$1470|2\\.735|5\\.147|3\\.\ 49|7\\.\ \ \ 7|7\\.\ \ 1|\\\\1470=2\times5\times3\times7^2=30\times49\\\\Solution:this\ a\ number\ equal\ 30,\ because\ 1470:30=49=7^2$

8 0

2 years ago

A particle moves on the hyperbola xy=18 for time t≥0 seconds. At a certain instant, y=6 and dydt=8. What is x that this instant?

professor190 [17]

Answer:

The value of x at this instant is 3.

Step-by-step explanation:

Let $x\cdot y = 18$ , we get an additional equation by implicit differentiation:

$x\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (1)

From the first equation we find that:

$x = \frac{18}{y}$ (2)

By applying (2) in (1), we get the resulting expression:

$\frac{18}{y}\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (3)

$y\cdot \frac{dx}{dt}=-\frac{18}{y}\cdot \frac{dy}{dt}$

$\frac{dx}{dt} = -\frac{18}{y^{2}} \cdot \frac{dy}{dt}$

If we know that $y = 6$ and $\frac{dy}{dt} = 8$ , then the first derivative of x in time is:

$\frac{dx}{dt} = -\frac{18}{6^{2}} \cdot (8)$

$\frac{dx}{dt} = -4$

From (1) we determine the value of x at this instant:

$x\cdot \frac{dy}{dt} = -y\cdot \frac{dx}{dt}$

$x = -y\cdot \left(\frac{\frac{dx}{dt} }{\frac{dy}{dt} } \right)$

$x = -6\cdot \left(\frac{-4}{8} \right)$

$x = 3$

The value of x at this instant is 3.

4 0

2 years ago

Problems 1-2, which symbol should be used to make the values true; > or

dimaraw [331]

Answer:

1. <

2. <

Step-by-step explanation:

Have a good day :)

5 0

2 years ago

2. The amount of sap that is collected from

Burka [1]

Population: six sugar maples
Sample: sap

7 0

2 years ago

Plant Type Number tomato 8 squash 4 cucumber 16 rosemary 22 he The table above shows the number of each type of plant in Robert'

kramer

Answer:

C. 25:4

Step-by-step explanation:

Total number of plants in Robert's garden = 8 + 4 + 16 + 22

= 50

Number of tomato plants in Robert's garden = 8

Ratio of total number of plants to the number of tomato plants = 50 : 8

Simplify

50 : 8 = 25:4

4 0

2 years ago