All categories

3 years ago

What does it mean when we say that a formula models real-world phenomena?

1 answer:

7 0

A formula models real-world phenomena when it describes the relationship between the variables of a real life situation. We use formulas in our every day life, but maybe are not aware of it. Some examples of using math formulas in the real world are: - the most obvious example is that we use formulas in the grocery store (multiplication, estimation, percentages,...

- we use formulas while baking (measuring ingredients, understanding ratios and proportions,<span> converting metrics,...)</span>

You might be interested in

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

Leni [432]

Answer: $\dfrac{2x^2-1}{x(x^2-1)}$

Step-by-step explanation:

The given function : $y=\ln(x(x^2 - 1)^{\frac{1}{2}})$

$\Rightarrow\ y=\ln x+\ln (x^2-1)^{\frac{1}{2}}$ [ $\because \ln(ab)=\ln a +\ln b$ ]

$\Rightarrow y=\ln x+\dfrac{1}{2}\ln (x^2-1)}$ [ $\because \ln(a)^n=n\ln a$ ]

Now , Differentiate both sides with respect to x , we will get

$\dfrac{dy}{dx}=\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})\dfrac{d}{dx}(x^2-1)$ (By Chain rule)

[Note : $\dfrac{d}{dx}(\ln x)=\dfrac{1}{x}$ ]

$\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})(2x-0)$

[ $\because \dfrac{d}{dx}(x^n)=nx^{n-1}$ ]

$=\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})(2x) = \dfrac{1}{x}+\dfrac{x}{x^2-1}\\\\\\=\dfrac{(x^2-1)+(x^2)}{x(x^2-1)}\\\\\\=\dfrac{2x^2-1}{x(x^2-1)}$

Hence, the derivative of the given function is $\dfrac{2x^2-1}{x(x^2-1)}$ .

8 0

4 years ago

Tell whether (-1,3) is a solution of the inequality whose graph is shown.

pychu [463]

Answer: No.

Reason: (-1, -3) is (x, y) so, let's find -1 on the X scale first. Alright, -1 is in the blue, which is a great start. Now, it's -3 on the Y portion. And when you graph that, it's not in the blue shaded area, so no, it's not a solution. (TIP: Solution is the Shaded Area)

4 0

3 years ago

Can someone please help me

Nookie1986 [14]

Sure What do u need help with I am always here

5 0

4 years ago

Bill wrote this expression in his notebook.

Ghella [55]

Bill should put the brackets around 18-9 so the correct answer is option B. 10- 4 +3 x (18-9)

5 0

3 years ago

Read 2 more answers

Describe the error in the work shown. 62 + 3 + 5 x 2 36 + 8 x 2 36 + 16 52

makkiz [27]

Answer:

There is an error in the application of the DMAS rule, The answer as per the DMAS rule is 75.

Step-by-step explanation:

There is an error in the implication of the DMAS rule of Mathematics.

DMAS rule determines the arrangement of mathematical functions to be performed in an expression where multiple functions are present.

The DMAS Rules describes the following arrangement of the mathematical functions.

1st Division

2nd Multiplication

3rd Addition

4th Subtraction

Applying the above rule the solution is as follow

62 + 3 + 5 x 2

First, we need to solve the Multiplication because there is no division

62 + 3 + 10

Now perform the addition function

65 + 10

6 0

3 years ago

What does it mean when we say that a formula models​ real-world phenomena?

What does it mean when we say that a formula models real-world phenomena?