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3 years ago

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Element X is a radioactive isotope such that every 3 years, its mass decreases by half. Given that the initial mass of a sample

of Element X is 410 grams, how much of the element would remain after 10 years, to the nearest whole number?

1 answer:

Volgvan3 years ago

5 0

Answer:Y=41

Step-by-step explanation:

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Describe the geometric meaning of the following mappings in spherical coordinates.

bearhunter [10]

Answer:

A. (iv)-There is a rotation by π around the x-axis.

B. (v)-There is a reflection across the xy plane.

C. None of the above, There is a rotation by π/2 about the x-axis with a radial expansion by a factor of 2.

Step-by-step explanation:

A. In spherical coordinates, for some point in R³, the angle θ is designed to be the angle between the x-axis and the projection of the line that goes from (0,0,0) to that point into the xy plane.

So, if you add π to the angle it only rotate 180 degrees or π units about the x-axis

B. In spherical coordinates, for some point in R³, the angle ϕ is designed to be the angle between the z-axis and the diagonal from (0,0,0) to that point.

So, if you subtract π to the angle it would flip the diagonal in the negative part of z (assuming ϕ<π/2, otherwise, originally the diagonal would be in the negative part of z and it would flip to the positive part of z) and this could be interpreted as a reflection around the xy plane. Notice if ϕ=π/2, then π − ϕ=π/2 so everything stays the same for points that belong to xy plane (i.e that ϕ=π/2)

C. In spherical coordinates, for some point in R³, ρ is designed to be the length of the diagonal from (0,0,0) to that point. So if we multiply ρ by 2, we are expanding the length of the diagonal.

But as we´ve seen before, adding something to θ means a rotation about x-axis by what we are adding (π/2)

Then the answer is that there is a rotation by π/2 about the x-axis with a radial expansion by a factor of 2.

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What is the slope of the line through (-12, 1) and (-1, 1)?

adoni [48]

Answer:

The equation is y = 1. Therefore, the slope is undefined.

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3 years ago

Find the degree of 0.

Ulleksa [173]

The degree of 0 on a circle is 360°

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3 years ago

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Can you guys please help me with this question

Olenka [21]

Answer:

A.

Step-by-step explanation:

Route the images in your mind. A. is a 180° view of H.

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3 years ago

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Points M and N on the coordinate grid below show the positions of two midfield players of a soccer team:Which statement best des

pogonyaev

N is M reflected across the y-axis; only the signs of the x-coordinates of M and N are different.

<u>Step-by-step explanation:</u>

In question no statements are available , below statements are the required one:

N is M reflected across the x-axis; only the signs of the x-coordinates of M and N are different: N is reflected over y-axis not x-axis so, this option itself is wrong!
N is M reflected across the x-axis; only the signs of the y-coordinates of M and N are different: N-M is reflected over y-axis not x-axis , so this option is also wrong.
N is M reflected across the y-axis; only the signs of the x-coordinates of M and N are different: N-M are reflected over y-axis correct and sign of only x co-ordinate is changed as Co-ordinates are $M(-2,-2.5)$ and $N(2,-2.5)$ .Hence, this statement is correct!
N is M reflected across the y-axis; only the signs of the y-coordinates of M and N are different. N-M is reflected over y-axis , and sign of only x co-ordinate is changed not y . False statement.

We can see that point Correct statement is 3.

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3 years ago