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Effectus [21]
3 years ago
5

Find three geometric means between -2/3 and -54

Mathematics
1 answer:
White raven [17]3 years ago
5 0

Answer:

-2,-6,-18

Step-by-step explanation:

let g1,g2,g3 be three G.M.s between -2/3 and -54

now -2/3,g1,g2,g3,-54 are geometric

n=5

an=a1 r^{n-1}

-54=-2/3 r^{5-1}

r^{4}=-54×-3/2=81=3^4

r=3

g1=a1×r=-2/3×3=-2

g2=a1×r²=-2/3×3²=-6

g3=a1×r³=-2/3×3³=-18

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The isotope cobalt-60 has a nuclear mass of 59.933820 u
Lesechka [4]
Cobalt has an atomic number (Z) of 27, which means the nuclei of all its isotopes have 27 protons. Cobalt 60 has an atomic mass of 60, so it has 60-27 = 33 neutrons.

The mass of 27 isolated protons plus the mass of 33 isolated neutrons would be:

27*(1.007825 u) + 33*(1.008665 u) = 60.497220 u

The actual mass of the nucleus of 60-Co is 59.933820 u.

Mass defect: 60.497220 u - 59.933820 u = 0.563400 u

The mass defect is equal to the binding energy of a nucleus.
using the fact that 1 u = 931.5 MeV/c^2

(0.563400 u)*(931.5 MeV/u) = 524.807 MeV

3 0
3 years ago
1. Isaiah and Ron work together on their
makkiz [27]

Answer:

Step-by-step explanation:

They are equivalent.  Use the distributive property.

3(x+3)

the 3 on the outside of the parenthesis is multiplied by the variable(the letter) and thenthe constant(number) inside the parenthesis.

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5 0
3 years ago
G(x) = 15 – 4x<br> h(x) = x +8<br> Write g(h(x)) as an expression in terms of 2.
Sergeu [11.5K]

For this case we have the following functions:

g (x) = 15-4x\\h (x) = x + 8

We must findg (h (x))when x = 2.

So:

g (h (x)) = 15-4 (x + 8) =

We apply distributive property to the terms within parentheses taking into account that:

- * + = -\\15-4x-32 =

We add similar terms taking into account that different signs are subtracted and the sign of the major is placed:

-17-4x

Thus, we have to:

g (h (x)) = - 17-4x

Then, with x = 2:

g (h (2)) = - 17-4 (2) = - 17-8 = -25

Equal signs are added and the same sign is placed.

Answer:

g (h (2)) = - 25

3 0
3 years ago
Determine whether the number could be the probability of an event. Explain your reasoning. -0.25
mr Goodwill [35]

yo sup??

The number can't be a probability of an event cause probability of an even lied between 0 and 1 whereas the number given to use is -0.25.

Since probability can't be negative therefore it isn't a probability of an event.

Hope this helps.

8 0
3 years ago
Describe a time when you use math outside of school ( pls I need help with this writing prompt)
Serga [27]

Answer:

Counting my money

Step-by-step explanation:

3 0
3 years ago
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