All categories

4 years ago

A scientific _____ best explains certain observable facts. law hypothesis theory

1 answer:

7 0

A scientific theory best explains certain observable facts.

In science, a theory is a set of statements or principles devised to explain a group of facts or phenomena, especially one that has been repeatedly tested and is widely accepted.

As you can see, a theory is something widely accepted because I attempts to and best explains observable facts.

You might be interested in

Solve 4 - 6x - 2 = -6x + 2 1. no solution 2. x =3 3. infinte solutions 4.x =8

Eva8 [605]

Answer:

All Real Answers

Step-by-step explanation:

Step 1:

4 - 6x - 2 = - 6x + 2 Equation

Step 2:

2 - 6x = - 6x + 2 Subtract

Step 3:

2 = 2 Add 6x on both sides

Answer:

All Real Answers

Hope This Helps :)

6 0

3 years ago

Help calculus module 8 DBQ please show work

igor_vitrenko [27]

1. The four subintervals are [0, 2], [2, 3], [3, 7], and [7, 8]. We construct trapezoids with "heights" equal to the lengths of each subinterval - 2, 1, 4, and 1, respectively - and the average of the corresponding "bases" equal to the average of the values of $R(t)$ at the endpoints of each subinterval. The sum is then

$\dfrac{R(0)+R(2)}2(2-0)+\dfrac{R(2)+R(3)}2(3-2)+\dfrac{R(3)+R(7)}2(7-3)+\dfrac{R(7)+R(8)}2(7-8)=\boxed{24.83}$

which is measured in units of gallons, hence representing the amount of water that flows into the tank.

2. Since $R$ is differentiable, the mean value theorem holds on any subinterval of its domain. Then for any interval $[a,b]$ , it guarantees the existence of some $c\in(a,b)$ such that

$\dfrac{R(b)-R(a)}{b-a)=R'(c)$

Computing the difference quotient over each subinterval above gives values of 0.275, 0.3, 0.3, and 0.26. But just because these values are non-zero doesn't guarantee that there is definitely no such $c$ for which $R'(c)=0$ . I would chalk this up to not having enough information.

3. $R(t)$ gives the rate of water flow, and $R(t)\approx W(t)$ , so that the average rate of water flow over [0, 8] is the average value of $W(t)$ , given by the integral

$R_{\rm avg}=\displaystyle\frac1{8-0}\int_0^8\ln(t^2+7)\,\mathrm dt$

If doing this by hand, you can integrate by parts, setting

$u=\ln(t^2+7)\implies\mathrm du=\dfrac{2t}{t^2+7}\,\mathrm dt$

$\mathrm dv=\mathrm dt\implies v=t$

$R_{\rm avg}=\displaystyle\frac18\left(t\ln(t^2+7)\bigg|_{t=0}^{t=8}-\int_0^8\frac{2t^2}{t^2+7}\,\mathrm dt\right)$

For the remaining integral, consider the trigonometric substitution $t=\sqrt 7\tan s$ , so that $\mathrm dt=\sqrt 7\sec^2s\,\mathrm ds$ . Then

$R_{\rm avg}=\displaystyle\ln71-\frac{\sqrt7}4\int_0^{\tan^{-1}(8/\sqrt7)}\frac{7\tan^2s}{7\tan^2s+7}\sec^2s\,\mathrm ds$

$R_{\rm avg}=\displaystyle\ln71-\frac{\sqrt7}4\int_0^{\tan^{-1}(8/\sqrt7)}\tan^2s\,\mathrm ds$

$R_{\rm avg}=\displaystyle\ln71-\frac{\sqrt7}4\int_0^{\tan^{-1}(8/\sqrt7)}(\sec^2s-1)\,\mathrm ds$

$R_{\rm avg}=\displaystyle\ln71-\frac{\sqrt7}4\left(\tan s-s\right)\bigg|_{s=0}^{s=\tan^{-1}(8/\sqrt7)}$

$R_{\rm avg}=\displaystyle\ln71-\frac{\sqrt7}4\left(\tan\left(\tan^{-1}\frac8{\sqrt7}\right)-\tan^{-1}\frac8{\sqrt7}\right)$

$\boxed{R_{\rm avg}=\displaystyle\ln71-2+\frac{\sqrt7}4\tan^{-1}\frac8{\sqrt7}}$

or approximately 3.0904, measured in gallons per hour (because this is the average value of $R$ ).

4. By the fundamental theorem of calculus,

$g'(x)=f(x)$

and $g(x)$ is increasing whenever $g'(x)=f(x)>0$ . This happens over the interval (-2, 3), since $f(x)=3$ on [-2, 0), and $-x+3>0$ on [0, 3).

5. First, by additivity of the definite integral,

$\displaystyle\int_{-2}^xf(t)\,\mathrm dt=\int_{-2}^0f(t)\,\mathrm dt+\int_0^xf(t)\,\mathrm dt$

Over the interval [-2, 0), we have $f(x)=3$ , and over the interval [0, 6], $f(x)=-x+3$ . So the integral above is

$\displaystyle\int_{-2}^03\,\mathrm dt+\int_0^x(-t+3)\,\mathrm dt=3t\bigg|_{t=-2}^{t=0}+\left(-\dfrac{t^2}2+3t\right)\bigg|_{t=0}^{t=x}=\boxed{6+3x-\dfrac{x^2}2}$

6 0

3 years ago

How do i answere this

HACTEHA [7]

Answer:

F. m/1.05=0.7/1.4

Step-by-step explanation:

The first expression is not true as the side labelled m in figure I corresponds to the side labelled 1.05 in figure II the side labelled but as for the the other set in the comparison i.e 0.7/1.4 it should start with the side that from figure I in the order in which they appear in the first ratio. The sides in the other ratios in the options correspond to each other and appear int the order in which the first ratio in each set appears

6 0

4 years ago

Mason used 1/6 of a gram of honey to make 1/12 of a pan of pudding. How many grams of honey are needed to make a full pan of pud

madreJ [45]

Answer:

multiply both fractions by 12 and you get 2 grams for 1 pan

Step-by-step explanation

3 0

3 years ago

A soccer field is 100 Meyers wide and 230 meters long the coach asks players to run from one corner to the other corner diagonal

Kruka [31]

Hey!

Well a soccer field would be a rectangle and if cut across you will be presented with two right triangles. So since you are presented with right triangles you will need to know at least two sides to determine the third. The formula used for right triangles is...

a² + b² = c²

Now a and b are the "legs" of the triangle meaning the two sides that come together to make a 90° angle. The c in the equation would be the hypotenuse of the triangle, otherwise the longest side or in this case the diagonal part. Now to find that distance you will have to plug in and solve...

100² + 230² = c²

10000 + 52900 = c²

62900 = c²

about 250.8 meters

Hope this Helped!

4 0

3 years ago