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adelina 88 [10]
3 years ago
5

The radius of a nitrogen atom is 5.6 × 10^-11 meters, and the radius of a beryllium atom is 1.12 × 10^-10 meters. Which atom has

a larger radius, and by how many times is it larger than the other?
Mathematics
1 answer:
Airida [17]3 years ago
4 0
The answer is Beryllium atom has a larger radius by 2 times.

Nitrogen atom: 5.6 × 10⁻¹¹ = 5.6 × 10⁻¹⁻¹⁰ = 5.6 × 10⁻¹ × 10⁻¹⁰ = 0.56 × 10⁻¹⁰
Beryllium atom: 1.12 × 10⁻¹⁰

Since 1.12 is bigger than 0.56, then the radius of beryllium atom is larger of the radius of nitrogen atom. Let's see by how many times:
1.12 × 10⁻¹⁰ : 0.56 × 10⁻¹⁰ = 1.12 : 0.56 = 2

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Answer:

The required difference is 198.

Step-by-step explanation:

The four digit smallest number using 2,2,0,0 is =2002

The four digit largest number using 2,2,0,0 is =2200

Therefore the difference between 2200 and 2002 is =198

6 0
3 years ago
If y is 6 and x is 4 what is y when x is 17
Ilya [14]
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Use integration by parts to find the integrals in Exercise.<br> ∫^3_0 3-x/3e^x dx.
Viefleur [7K]

Answer:

8.733046.

Step-by-step explanation:

We have been given a definite integral \int _0^3\:3-\frac{x}{3e^x}dx. We are asked to find the value of the given integral using integration by parts.

Using sum rule of integrals, we will get:

\int _0^3\:3dx-\int _0^3\frac{x}{3e^x}dx

We will use Integration by parts formula to solve our given problem.

\int\ vdv=uv-\int\ vdu

Let u=x and v'=\frac{1}{e^x}.

Now, we need to find du and v using these values as shown below:

\frac{du}{dx}=\frac{d}{dx}(x)

\frac{du}{dx}=1

du=1dx

du=dx

v'=\frac{1}{e^x}

v=-\frac{1}{e^x}

Substituting our given values in integration by parts formula, we will get:

\frac{1}{3}\int _0^3\frac{x}{e^x}dx=\frac{1}{3}(x*(-\frac{1}{e^x})-\int _0^3(-\frac{1}{e^x})dx)

\frac{1}{3}\int _0^3\frac{x}{e^x}dx=\frac{1}{3}(-\frac{x}{e^x}- (\frac{1}{e^x}))

\int _0^3\:3dx-\int _0^3\frac{x}{3e^x}dx=3x-\frac{1}{3}(-\frac{x}{e^x}- (\frac{1}{e^x}))

Compute the boundaries:

3(3)-\frac{1}{3}(-\frac{3}{e^3}- (\frac{1}{e^3}))=9+\frac{4}{3e^3}=9.06638

3(0)-\frac{1}{3}(-\frac{0}{e^0}- (\frac{1}{e^0}))=0-(-\frac{1}{3})=\frac{1}{3}

9.06638-\frac{1}{3}=8.733046

Therefore, the value of the given integral would be 8.733046.

6 0
3 years ago
Bob is on his way home in his car. His drive is 16 miles long. He has finished one-fourth of the drive so far. How far has he dr
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Answer:

He has driven 16 miles so far

Step-by-step explanation:

The unknown in your equation is the total length of Trey's drive, which we will call "x".

From the problem statement, you know that 12 is three-fourths of x so set up the following equation and solve for "x":

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multiply both sides of the equation by 4/3 to isolate "x":

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7 0
2 years ago
Plz with steps .. it's very hard can anyone plz
liubo4ka [24]

Answer:

Step-by-step explanation:

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7 0
3 years ago
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