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3 years ago

What is the product of 3.6•10^9 and 7.35•10^5?

1 answer:

7 0

The answer is very simple to get if you have a calculator. You first multiply $3.6$ and $7.35$ . You should get 26.46, now you move one decimal to the front which means you are multiplying 10 to it. Now you can refer the rest from below:

$2.646 * 10^{1} * 10^{9} * 10^{5}$ Add the powers of ten
$2.646 * 10^{1+9+5}$
$2.646 * 10^{15}$ This is your answer =)

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What percent of 863.6 is 380

Aleks04 [339]

Hello there! To solve types of questions like these, we can write and solve a proportion. We are looking for the percentage of 380 out of 863.6. Let's set up the proportion like this: 380/863.6 = x/100. Cross multiply the values in order to get 38,000 = 863.6x. Now, divide each side by 863.6 to isolate the "x". 38,000/863.6 is 44.00185271 or 44 when rounded to the nearest whole number. 380 is appox. 44% of 863.6.

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3 years ago

How is a scientist theory developed

Natalka [10]

Answer:

Theories and laws

Both scientific laws and scientific theories are produced from the scientific method through the formation and testing of hypotheses, and can predict the behavior of the natural world. Both are typically well-supported by observations and/or experimental evidence.

5 0

3 years ago

Two sides of a right triangle measure 2 units and 4

fredd [130]

Hey there!

The answer is √20 or approximately 4.47

We can use the Pythagoreon Theorem, which is $a^2 +b^2=c^2$ . $a$ and $b$ are the names of the two sides, and $c$ is the name of the hypotenuse leg, or the longest side. We will plug the numbers into the formula, and solve:

$2^2+4^2=c^2\\4+16=c^2\\20=c^2\\4.47...=c$

Have a terrifcly amazing day!

8 0

3 years ago

Consider an object of mass m moving along a frictionless surface and attached to a wall by a spring. If we let y(t) denote the s

ICE Princess25 [194]

Answer:

The dimensions of Ki are N/m while the dimension of K3 is N/m³. The Nondimensional equation is:

$\frac{d^2Y}{d\tau^2} -Y-Y^3=0$

with the substitution:

$y=y_0Y \displaystyle\leftrightarrow y_0=\sqrt{\frac{k_i}{k_3}}$

$t=t_0\tau \leftrightarrow \tau=\displaystyle\sqrt{\frac{m}{k_i} }$

Step-by-step explanation:

To determine the dimensions of the constant we first see the first part of the equation, knowing that each term has to have the same dimension.

The first term is mass multiplied with acceleration, this means that the dimension of each term is the unit of force, Newtons.

The second term is distance multiplied with ki. If the term has to have the force dimension, ki dimensions must be N/m.

The third term is distance to the cube multiplied with k3. If the term has to have the force dimension, k3 dimensions must be N/m³.

For the process of Nondimensionalization, we first make the substitution of the main variables (in this case t of time and y of distance) for nondimensional ones (in this case Y and τ):

$y=y_0Y$

$t=t_0\tau$

Where y₀ and t₀ are the characteristic units used to scale the equation.

Substituted in the original equation:

$m\frac{d^2y}{dt^2} -k_iy-k_3y^3=0\\m\frac{y_0}{t_0^2} \frac{d^2Y}{d\tau^2} -k_iy_0Y-k_3y_0^3Y^3=0$

Now we clear the highest degree term of the differential equation:

$\displaystyle\frac{d^2Y}{d\tau^2} -\frac{k_it_0^2}{m} Y-\frac{k_3t_0^2y_0^2}{m} Y^3=0\\\frac{d^2Y}{d\tau^2} -A Y-B Y^3=0$

Now we need that coefficients A and B to be the unit without any dimension, Therefore:

$\displaystyle A=1=\frac{k_it_0^2}{m} \leftrightarrow t_0=\sqrt{\frac{m}{k_i}} \\B=1=\frac{k_3t_0^2y_0^2}{m}=\frac{k_3y_0^2}{k_i} \leftrightarrow y_0=\sqrt{\frac{k_i}{k_3}}$

With this characteristic units the equation is Nondimensional.

5 0

3 years ago

What special marks are used to show that segments are congruent

ycow [4]

The special marks that are used to show that segments are congruent would be: Hashmarks.I belive

3 0

3 years ago